#! /usr/bin/env perl
# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License").  You may not use
# this file except in compliance with the License.  You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html

#
# ====================================================================
# 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/.
# ====================================================================
#
# May 2011
#
# The module implements bn_GF2m_mul_2x2 polynomial multiplication used
# in bn_gf2m.c. It's kind of low-hanging mechanical port from C for
# the time being... Except that it has three code paths: pure integer
# code suitable for any x86 CPU, MMX code suitable for PIII and later
# and PCLMULQDQ suitable for Westmere and later. Improvement varies
# from one benchmark and Âµ-arch to another. Below are interval values
# for 163- and 571-bit ECDH benchmarks relative to compiler-generated
# code:
#
# PIII		16%-30%
# P4		12%-12%
# Opteron	18%-40%
# Core2		19%-44%
# Atom		38%-64%
# Westmere	53%-121%(PCLMULQDQ)/20%-32%(MMX)
# Sandy Bridge	72%-127%(PCLMULQDQ)/27%-23%(MMX)
#
# Note that above improvement coefficients are not coefficients for
# bn_GF2m_mul_2x2 itself. For example 120% ECDH improvement is result
# of bn_GF2m_mul_2x2 being >4x faster. As it gets faster, benchmark
# is more and more dominated by other subroutines, most notably by
# BN_GF2m_mod[_mul]_arr...

$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
push(@INC,"${dir}","${dir}../../perlasm");
require "x86asm.pl";

$output = pop;
open STDOUT,">$output";

&asm_init($ARGV[0],$x86only = $ARGV[$#ARGV] eq "386");

$sse2=0;
for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }

&external_label("OPENSSL_ia32cap_P") if ($sse2);

$a="eax";
$b="ebx";
($a1,$a2,$a4)=("ecx","edx","ebp");

$R="mm0";
@T=("mm1","mm2");
($A,$B,$B30,$B31)=("mm2","mm3","mm4","mm5");
@i=("esi","edi");

					if (!$x86only) {
&function_begin_B("_mul_1x1_mmx");
	&sub	("esp",32+4);
	 &mov	($a1,$a);
	 &lea	($a2,&DWP(0,$a,$a));
	 &and	($a1,0x3fffffff);
	 &lea	($a4,&DWP(0,$a2,$a2));
	 &mov	(&DWP(0*4,"esp"),0);
	 &and	($a2,0x7fffffff);
	&movd	($A,$a);
	&movd	($B,$b);
	 &mov	(&DWP(1*4,"esp"),$a1);	# a1
	 &xor	($a1,$a2);		# a1^a2
	&pxor	($B31,$B31);
	&pxor	($B30,$B30);
	 &mov	(&DWP(2*4,"esp"),$a2);	# a2
	 &xor	($a2,$a4);		# a2^a4
	 &mov	(&DWP(3*4,"esp"),$a1);	# a1^a2
	&pcmpgtd($B31,$A);		# broadcast 31st bit
	&paddd	($A,$A);		# $A<<=1
	 &xor	($a1,$a2);		# a1^a4=a1^a2^a2^a4
	 &mov	(&DWP(4*4,"esp"),$a4);	# a4
	 &xor	($a4,$a2);		# a2=a4^a2^a4
	&pand	($B31,$B);
	&pcmpgtd($B30,$A);		# broadcast 30th bit
	 &mov	(&DWP(5*4,"esp"),$a1);	# a1^a4
	 &xor	($a4,$a1);		# a1^a2^a4
	&psllq	($B31,31);
	&pand	($B30,$B);
	 &mov	(&DWP(6*4,"esp"),$a2);	# a2^a4
	&mov	(@i[0],0x7);
	 &mov	(&DWP(7*4,"esp"),$a4);	# a1^a2^a4
	 &mov	($a4,@i[0]);
	&and	(@i[0],$b);
	&shr	($b,3);
	&mov	(@i[1],$a4);
	&psllq	($B30,30);
	&and	(@i[1],$b);
	&shr	($b,3);
	&movd	($R,&DWP(0,"esp",@i[0],4));
	&mov	(@i[0],$a4);
	&and	(@i[0],$b);
	&shr	($b,3);
	for($n=1;$n<9;$n++) {
		&movd	(@T[1],&DWP(0,"esp",@i[1],4));
		&mov	(@i[1],$a4);
		&psllq	(@T[1],3*$n);
		&and	(@i[1],$b);
		&shr	($b,3);
		&pxor	($R,@T[1]);

		push(@i,shift(@i)); push(@T,shift(@T));
	}
	&movd	(@T[1],&DWP(0,"esp",@i[1],4));
	&pxor	($R,$B30);
	&psllq	(@T[1],3*$n++);
	&pxor	($R,@T[1]);

	&movd	(@T[0],&DWP(0,"esp",@i[0],4));
	&pxor	($R,$B31);
	&psllq	(@T[0],3*$n);
	&add	("esp",32+4);
	&pxor	($R,@T[0]);
	&ret	();
&function_end_B("_mul_1x1_mmx");
					}

($lo,$hi)=("eax","edx");
@T=("ecx","ebp");

&function_begin_B("_mul_1x1_ialu");
	&sub	("esp",32+4);
	 &mov	($a1,$a);
	 &lea	($a2,&DWP(0,$a,$a));
	 &lea	($a4,&DWP(0,"",$a,4));
	 &and	($a1,0x3fffffff);
	&lea	(@i[1],&DWP(0,$lo,$lo));
	&sar	($lo,31);		# broadcast 31st bit
	 &mov	(&DWP(0*4,"esp"),0);
	 &and	($a2,0x7fffffff);
	 &mov	(&DWP(1*4,"esp"),$a1);	# a1
	 &xor	($a1,$a2);		# a1^a2
	 &mov	(&DWP(2*4,"esp"),$a2);	# a2
	 &xor	($a2,$a4);		# a2^a4
	 &mov	(&DWP(3*4,"esp"),$a1);	# a1^a2
	 &xor	($a1,$a2);		# a1^a4=a1^a2^a2^a4
	 &mov	(&DWP(4*4,"esp"),$a4);	# a4
	 &xor	($a4,$a2);		# a2=a4^a2^a4
	 &mov	(&DWP(5*4,"esp"),$a1);	# a1^a4
	 &xor	($a4,$a1);		# a1^a2^a4
	&sar	(@i[1],31);		# broadcast 30th bit
	&and	($lo,$b);
	 &mov	(&DWP(6*4,"esp"),$a2);	# a2^a4
	&and	(@i[1],$b);
	 &mov	(&DWP(7*4,"esp"),$a4);	# a1^a2^a4
	&mov	($hi,$lo);
	&shl	($lo,31);
	&mov	(@T[0],@i[1]);
	&shr	($hi,1);

	 &mov	(@i[0],0x7);
	&shl	(@i[1],30);
	 &and	(@i[0],$b);
	&shr	(@T[0],2);
	&xor	($lo,@i[1]);

	&shr	($b,3);
	&mov	(@i[1],0x7);		# 5-byte instruction!?
	&and	(@i[1],$b);
	&shr	($b,3);
	 &xor	($hi,@T[0]);
	&xor	($lo,&DWP(0,"esp",@i[0],4));
	&mov	(@i[0],0x7);
	&and	(@i[0],$b);
	&shr	($b,3);
	for($n=1;$n<9;$n++) {
		&mov	(@T[1],&DWP(0,"esp",@i[1],4));
		&mov	(@i[1],0x7);
		&mov	(@T[0],@T[1]);
		&shl	(@T[1],3*$n);
		&and	(@i[1],$b);
		&shr	(@T[0],32-3*$n);
		&xor	($lo,@T[1]);
		&shr	($b,3);
		&xor	($hi,@T[0]);

		push(@i,shift(@i)); push(@T,shift(@T));
	}
	&mov	(@T[1],&DWP(0,"esp",@i[1],4));
	&mov	(@T[0],@T[1]);
	&shl	(@T[1],3*$n);
	&mov	(@i[1],&DWP(0,"esp",@i[0],4));
	&shr	(@T[0],32-3*$n);	$n++;
	&mov	(@i[0],@i[1]);
	&xor	($lo,@T[1]);
	&shl	(@i[1],3*$n);
	&xor	($hi,@T[0]);
	&shr	(@i[0],32-3*$n);
	&xor	($lo,@i[1]);
	&xor	($hi,@i[0]);

	&add	("esp",32+4);
	&ret	();
&function_end_B("_mul_1x1_ialu");

# void bn_GF2m_mul_2x2(BN_ULONG *r, BN_ULONG a1, BN_ULONG a0, BN_ULONG b1, BN_ULONG b0);
&function_begin_B("bn_GF2m_mul_2x2");
if (!$x86only) {
	&picmeup("edx","OPENSSL_ia32cap_P");
	&mov	("eax",&DWP(0,"edx"));
	&mov	("edx",&DWP(4,"edx"));
	&test	("eax",1<<23);		# check MMX bit
	&jz	(&label("ialu"));
if ($sse2) {
	&test	("eax",1<<24);		# check FXSR bit
	&jz	(&label("mmx"));
	&test	("edx",1<<1);		# check PCLMULQDQ bit
	&jz	(&label("mmx"));

	&movups		("xmm0",&QWP(8,"esp"));
	&shufps		("xmm0","xmm0",0b10110001);
	&pclmulqdq	("xmm0","xmm0",1);
	&mov		("eax",&DWP(4,"esp"));
	&movups		(&QWP(0,"eax"),"xmm0");
	&ret	();

&set_label("mmx",16);
}
	&push	("ebp");
	&push	("ebx");
	&push	("esi");
	&push	("edi");
	&mov	($a,&wparam(1));
	&mov	($b,&wparam(3));
	&call	("_mul_1x1_mmx");	# a1Â·b1
	&movq	("mm7",$R);

	&mov	($a,&wparam(2));
	&mov	($b,&wparam(4));
	&call	("_mul_1x1_mmx");	# a0Â·b0
	&movq	("mm6",$R);

	&mov	($a,&wparam(1));
	&mov	($b,&wparam(3));
	&xor	($a,&wparam(2));
	&xor	($b,&wparam(4));
	&call	("_mul_1x1_mmx");	# (a0+a1)Â·(b0+b1)
	&pxor	($R,"mm7");
	&mov	($a,&wparam(0));
	&pxor	($R,"mm6");		# (a0+a1)Â·(b0+b1)-a1Â·b1-a0Â·b0

	&movq	($A,$R);
	&psllq	($R,32);
	&pop	("edi");
	&psrlq	($A,32);
	&pop	("esi");
	&pxor	($R,"mm6");
	&pop	("ebx");
	&pxor	($A,"mm7");
	&movq	(&QWP(0,$a),$R);
	&pop	("ebp");
	&movq	(&QWP(8,$a),$A);
	&emms	();
	&ret	();
&set_label("ialu",16);
}
	&push	("ebp");
	&push	("ebx");
	&push	("esi");
	&push	("edi");
	&stack_push(4+1);

	&mov	($a,&wparam(1));
	&mov	($b,&wparam(3));
	&call	("_mul_1x1_ialu");	# a1Â·b1
	&mov	(&DWP(8,"esp"),$lo);
	&mov	(&DWP(12,"esp"),$hi);

	&mov	($a,&wparam(2));
	&mov	($b,&wparam(4));
	&call	("_mul_1x1_ialu");	# a0Â·b0
	&mov	(&DWP(0,"esp"),$lo);
	&mov	(&DWP(4,"esp"),$hi);

	&mov	($a,&wparam(1));
	&mov	($b,&wparam(3));
	&xor	($a,&wparam(2));
	&xor	($b,&wparam(4));
	&call	("_mul_1x1_ialu");	# (a0+a1)Â·(b0+b1)

	&mov	("ebp",&wparam(0));
		 @r=("ebx","ecx","edi","esi");
	&mov	(@r[0],&DWP(0,"esp"));
	&mov	(@r[1],&DWP(4,"esp"));
	&mov	(@r[2],&DWP(8,"esp"));
	&mov	(@r[3],&DWP(12,"esp"));

	&xor	($lo,$hi);
	&xor	($hi,@r[1]);
	&xor	($lo,@r[0]);
	&mov	(&DWP(0,"ebp"),@r[0]);
	&xor	($hi,@r[2]);
	&mov	(&DWP(12,"ebp"),@r[3]);
	&xor	($lo,@r[3]);
	&stack_pop(4+1);
	&xor	($hi,@r[3]);
	&pop	("edi");
	&xor	($lo,$hi);
	&pop	("esi");
	&mov	(&DWP(8,"ebp"),$hi);
	&pop	("ebx");
	&mov	(&DWP(4,"ebp"),$lo);
	&pop	("ebp");
	&ret	();
&function_end_B("bn_GF2m_mul_2x2");

&asciz	("GF(2^m) Multiplication for x86, CRYPTOGAMS by <appro\@openssl.org>");

&asm_finish();

close STDOUT or die "error closing STDOUT: $!";


#! /usr/bin/env perl
# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License").  You may not use
# this file except in compliance with the License.  You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html

# ====================================================================
# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
# project. The module is, however, dual licensed under OpenSSL and
# CRYPTOGAMS licenses depending on where you obtain it. For further
# details see http://www.openssl.org/~appro/cryptogams/.
# ====================================================================

# October 2005
#
# This is a "teaser" code, as it can be improved in several ways...
# First of all non-SSE2 path should be implemented (yes, for now it
# performs Montgomery multiplication/convolution only on SSE2-capable
# CPUs such as P4, others fall down to original code). Then inner loop
# can be unrolled and modulo-scheduled to improve ILP and possibly
# moved to 128-bit XMM register bank (though it would require input
# rearrangement and/or increase bus bandwidth utilization). Dedicated
# squaring procedure should give further performance improvement...
# Yet, for being draft, the code improves rsa512 *sign* benchmark by
# 110%(!), rsa1024 one - by 70% and rsa4096 - by 20%:-)

# December 2006
#
# Modulo-scheduling SSE2 loops results in further 15-20% improvement.
# Integer-only code [being equipped with dedicated squaring procedure]
# gives ~40% on rsa512 sign benchmark...

$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
push(@INC,"${dir}","${dir}../../perlasm");
require "x86asm.pl";

$output = pop;
open STDOUT,">$output";

&asm_init($ARGV[0]);

$sse2=0;
for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }

&external_label("OPENSSL_ia32cap_P") if ($sse2);

&function_begin("bn_mul_mont");

$i="edx";
$j="ecx";
$ap="esi";	$tp="esi";		# overlapping variables!!!
$rp="edi";	$bp="edi";		# overlapping variables!!!
$np="ebp";
$num="ebx";

$_num=&DWP(4*0,"esp");			# stack top layout
$_rp=&DWP(4*1,"esp");
$_ap=&DWP(4*2,"esp");
$_bp=&DWP(4*3,"esp");
$_np=&DWP(4*4,"esp");
$_n0=&DWP(4*5,"esp");	$_n0q=&QWP(4*5,"esp");
$_sp=&DWP(4*6,"esp");
$_bpend=&DWP(4*7,"esp");
$frame=32;				# size of above frame rounded up to 16n

	&xor	("eax","eax");
	&mov	("edi",&wparam(5));	# int num
	&cmp	("edi",4);
	&jl	(&label("just_leave"));

	&lea	("esi",&wparam(0));	# put aside pointer to argument block
	&lea	("edx",&wparam(1));	# load ap
	&add	("edi",2);		# extra two words on top of tp
	&neg	("edi");
	&lea	("ebp",&DWP(-$frame,"esp","edi",4));	# future alloca($frame+4*(num+2))
	&neg	("edi");

	# minimize cache contention by arranging 2K window between stack
	# pointer and ap argument [np is also position sensitive vector,
	# but it's assumed to be near ap, as it's allocated at ~same
	# time].
	&mov	("eax","ebp");
	&sub	("eax","edx");
	&and	("eax",2047);
	&sub	("ebp","eax");		# this aligns sp and ap modulo 2048

	&xor	("edx","ebp");
	&and	("edx",2048);
	&xor	("edx",2048);
	&sub	("ebp","edx");		# this splits them apart modulo 4096

	&and	("ebp",-64);		# align to cache line

	# An OS-agnostic version of __chkstk.
	#
	# Some OSes (Windows) 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...
	&mov	("eax","esp");
	&sub	("eax","ebp");
	&and	("eax",-4096);
	&mov	("edx","esp");		# saved stack pointer!
	&lea	("esp",&DWP(0,"ebp","eax"));
	&mov	("eax",&DWP(0,"esp"));
	&cmp	("esp","ebp");
	&ja	(&label("page_walk"));
	&jmp	(&label("page_walk_done"));

&set_label("page_walk",16);
	&lea	("esp",&DWP(-4096,"esp"));
	&mov	("eax",&DWP(0,"esp"));
	&cmp	("esp","ebp");
	&ja	(&label("page_walk"));
&set_label("page_walk_done");

	################################# load argument block...
	&mov	("eax",&DWP(0*4,"esi"));# BN_ULONG *rp
	&mov	("ebx",&DWP(1*4,"esi"));# const BN_ULONG *ap
	&mov	("ecx",&DWP(2*4,"esi"));# const BN_ULONG *bp
	&mov	("ebp",&DWP(3*4,"esi"));# const BN_ULONG *np
	&mov	("esi",&DWP(4*4,"esi"));# const BN_ULONG *n0
	#&mov	("edi",&DWP(5*4,"esi"));# int num

	&mov	("esi",&DWP(0,"esi"));	# pull n0[0]
	&mov	($_rp,"eax");		# ... save a copy of argument block
	&mov	($_ap,"ebx");
	&mov	($_bp,"ecx");
	&mov	($_np,"ebp");
	&mov	($_n0,"esi");
	&lea	($num,&DWP(-3,"edi"));	# num=num-1 to assist modulo-scheduling
	#&mov	($_num,$num);		# redundant as $num is not reused
	&mov	($_sp,"edx");		# saved stack pointer!

if($sse2) {
$acc0="mm0";	# mmx register bank layout
$acc1="mm1";
$car0="mm2";
$car1="mm3";
$mul0="mm4";
$mul1="mm5";
$temp="mm6";
$mask="mm7";

	&picmeup("eax","OPENSSL_ia32cap_P");
	&bt	(&DWP(0,"eax"),26);
	&jnc	(&label("non_sse2"));

	&mov	("eax",-1);
	&movd	($mask,"eax");		# mask 32 lower bits

	&mov	($ap,$_ap);		# load input pointers
	&mov	($bp,$_bp);
	&mov	($np,$_np);

	&xor	($i,$i);		# i=0
	&xor	($j,$j);		# j=0

	&movd	($mul0,&DWP(0,$bp));		# bp[0]
	&movd	($mul1,&DWP(0,$ap));		# ap[0]
	&movd	($car1,&DWP(0,$np));		# np[0]

	&pmuludq($mul1,$mul0);			# ap[0]*bp[0]
	&movq	($car0,$mul1);
	&movq	($acc0,$mul1);			# I wish movd worked for
	&pand	($acc0,$mask);			# inter-register transfers

	&pmuludq($mul1,$_n0q);			# *=n0

	&pmuludq($car1,$mul1);			# "t[0]"*np[0]*n0
	&paddq	($car1,$acc0);

	&movd	($acc1,&DWP(4,$np));		# np[1]
	&movd	($acc0,&DWP(4,$ap));		# ap[1]

	&psrlq	($car0,32);
	&psrlq	($car1,32);

	&inc	($j);				# j++
&set_label("1st",16);
	&pmuludq($acc0,$mul0);			# ap[j]*bp[0]
	&pmuludq($acc1,$mul1);			# np[j]*m1
	&paddq	($car0,$acc0);			# +=c0
	&paddq	($car1,$acc1);			# +=c1

	&movq	($acc0,$car0);
	&pand	($acc0,$mask);
	&movd	($acc1,&DWP(4,$np,$j,4));	# np[j+1]
	&paddq	($car1,$acc0);			# +=ap[j]*bp[0];
	&movd	($acc0,&DWP(4,$ap,$j,4));	# ap[j+1]
	&psrlq	($car0,32);
	&movd	(&DWP($frame-4,"esp",$j,4),$car1);	# tp[j-1]=
	&psrlq	($car1,32);

	&lea	($j,&DWP(1,$j));
	&cmp	($j,$num);
	&jl	(&label("1st"));

	&pmuludq($acc0,$mul0);			# ap[num-1]*bp[0]
	&pmuludq($acc1,$mul1);			# np[num-1]*m1
	&paddq	($car0,$acc0);			# +=c0
	&paddq	($car1,$acc1);			# +=c1

	&movq	($acc0,$car0);
	&pand	($acc0,$mask);
	&paddq	($car1,$acc0);			# +=ap[num-1]*bp[0];
	&movd	(&DWP($frame-4,"esp",$j,4),$car1);	# tp[num-2]=

	&psrlq	($car0,32);
	&psrlq	($car1,32);

	&paddq	($car1,$car0);
	&movq	(&QWP($frame,"esp",$num,4),$car1);	# tp[num].tp[num-1]

	&inc	($i);				# i++
&set_label("outer");
	&xor	($j,$j);			# j=0

	&movd	($mul0,&DWP(0,$bp,$i,4));	# bp[i]
	&movd	($mul1,&DWP(0,$ap));		# ap[0]
	&movd	($temp,&DWP($frame,"esp"));	# tp[0]
	&movd	($car1,&DWP(0,$np));		# np[0]
	&pmuludq($mul1,$mul0);			# ap[0]*bp[i]

	&paddq	($mul1,$temp);			# +=tp[0]
	&movq	($acc0,$mul1);
	&movq	($car0,$mul1);
	&pand	($acc0,$mask);

	&pmuludq($mul1,$_n0q);			# *=n0

	&pmuludq($car1,$mul1);
	&paddq	($car1,$acc0);

	&movd	($temp,&DWP($frame+4,"esp"));	# tp[1]
	&movd	($acc1,&DWP(4,$np));		# np[1]
	&movd	($acc0,&DWP(4,$ap));		# ap[1]

	&psrlq	($car0,32);
	&psrlq	($car1,32);
	&paddq	($car0,$temp);			# +=tp[1]

	&inc	($j);				# j++
	&dec	($num);
&set_label("inner");
	&pmuludq($acc0,$mul0);			# ap[j]*bp[i]
	&pmuludq($acc1,$mul1);			# np[j]*m1
	&paddq	($car0,$acc0);			# +=c0
	&paddq	($car1,$acc1);			# +=c1

	&movq	($acc0,$car0);
	&movd	($temp,&DWP($frame+4,"esp",$j,4));# tp[j+1]
	&pand	($acc0,$mask);
	&movd	($acc1,&DWP(4,$np,$j,4));	# np[j+1]
	&paddq	($car1,$acc0);			# +=ap[j]*bp[i]+tp[j]
	&movd	($acc0,&DWP(4,$ap,$j,4));	# ap[j+1]
	&psrlq	($car0,32);
	&movd	(&DWP($frame-4,"esp",$j,4),$car1);# tp[j-1]=
	&psrlq	($car1,32);
	&paddq	($car0,$temp);			# +=tp[j+1]

	&dec	($num);
	&lea	($j,&DWP(1,$j));		# j++
	&jnz	(&label("inner"));

	&mov	($num,$j);
	&pmuludq($acc0,$mul0);			# ap[num-1]*bp[i]
	&pmuludq($acc1,$mul1);			# np[num-1]*m1
	&paddq	($car0,$acc0);			# +=c0
	&paddq	($car1,$acc1);			# +=c1

	&movq	($acc0,$car0);
	&pand	($acc0,$mask);
	&paddq	($car1,$acc0);			# +=ap[num-1]*bp[i]+tp[num-1]
	&movd	(&DWP($frame-4,"esp",$j,4),$car1);	# tp[num-2]=
	&psrlq	($car0,32);
	&psrlq	($car1,32);

	&movd	($temp,&DWP($frame+4,"esp",$num,4));	# += tp[num]
	&paddq	($car1,$car0);
	&paddq	($car1,$temp);
	&movq	(&QWP($frame,"esp",$num,4),$car1);	# tp[num].tp[num-1]

	&lea	($i,&DWP(1,$i));		# i++
	&cmp	($i,$num);
	&jle	(&label("outer"));

	&emms	();				# done with mmx bank
	&jmp	(&label("common_tail"));

&set_label("non_sse2",16);
}

if (0) {
	&mov	("esp",$_sp);
	&xor	("eax","eax");	# signal "not fast enough [yet]"
	&jmp	(&label("just_leave"));
	# While the below code provides competitive performance for
	# all key lengths on modern Intel cores, it's still more
	# than 10% slower for 4096-bit key elsewhere:-( "Competitive"
	# means compared to the original integer-only assembler.
	# 512-bit RSA sign is better by ~40%, but that's about all
	# one can say about all CPUs...
} else {
$inp="esi";	# integer path uses these registers differently
$word="edi";
$carry="ebp";

	&mov	($inp,$_ap);
	&lea	($carry,&DWP(1,$num));
	&mov	($word,$_bp);
	&xor	($j,$j);				# j=0
	&mov	("edx",$inp);
	&and	($carry,1);				# see if num is even
	&sub	("edx",$word);				# see if ap==bp
	&lea	("eax",&DWP(4,$word,$num,4));		# &bp[num]
	&or	($carry,"edx");
	&mov	($word,&DWP(0,$word));			# bp[0]
	&jz	(&label("bn_sqr_mont"));
	&mov	($_bpend,"eax");
	&mov	("eax",&DWP(0,$inp));
	&xor	("edx","edx");

&set_label("mull",16);
	&mov	($carry,"edx");
	&mul	($word);				# ap[j]*bp[0]
	&add	($carry,"eax");
	&lea	($j,&DWP(1,$j));
	&adc	("edx",0);
	&mov	("eax",&DWP(0,$inp,$j,4));		# ap[j+1]
	&cmp	($j,$num);
	&mov	(&DWP($frame-4,"esp",$j,4),$carry);	# tp[j]=
	&jl	(&label("mull"));

	&mov	($carry,"edx");
	&mul	($word);				# ap[num-1]*bp[0]
	 &mov	($word,$_n0);
	&add	("eax",$carry);
	 &mov	($inp,$_np);
	&adc	("edx",0);
	 &imul	($word,&DWP($frame,"esp"));		# n0*tp[0]

	&mov	(&DWP($frame,"esp",$num,4),"eax");	# tp[num-1]=
	&xor	($j,$j);
	&mov	(&DWP($frame+4,"esp",$num,4),"edx");	# tp[num]=
	&mov	(&DWP($frame+8,"esp",$num,4),$j);	# tp[num+1]=

	&mov	("eax",&DWP(0,$inp));			# np[0]
	&mul	($word);				# np[0]*m
	&add	("eax",&DWP($frame,"esp"));		# +=tp[0]
	&mov	("eax",&DWP(4,$inp));			# np[1]
	&adc	("edx",0);
	&inc	($j);

	&jmp	(&label("2ndmadd"));

&set_label("1stmadd",16);
	&mov	($carry,"edx");
	&mul	($word);				# ap[j]*bp[i]
	&add	($carry,&DWP($frame,"esp",$j,4));	# +=tp[j]
	&lea	($j,&DWP(1,$j));
	&adc	("edx",0);
	&add	($carry,"eax");
	&mov	("eax",&DWP(0,$inp,$j,4));		# ap[j+1]
	&adc	("edx",0);
	&cmp	($j,$num);
	&mov	(&DWP($frame-4,"esp",$j,4),$carry);	# tp[j]=
	&jl	(&label("1stmadd"));

	&mov	($carry,"edx");
	&mul	($word);				# ap[num-1]*bp[i]
	&add	("eax",&DWP($frame,"esp",$num,4));	# +=tp[num-1]
	 &mov	($word,$_n0);
	&adc	("edx",0);
	 &mov	($inp,$_np);
	&add	($carry,"eax");
	&adc	("edx",0);
	 &imul	($word,&DWP($frame,"esp"));		# n0*tp[0]

	&xor	($j,$j);
	&add	("edx",&DWP($frame+4,"esp",$num,4));	# carry+=tp[num]
	&mov	(&DWP($frame,"esp",$num,4),$carry);	# tp[num-1]=
	&adc	($j,0);
	 &mov	("eax",&DWP(0,$inp));			# np[0]
	&mov	(&DWP($frame+4,"esp",$num,4),"edx");	# tp[num]=
	&mov	(&DWP($frame+8,"esp",$num,4),$j);	# tp[num+1]=

	&mul	($word);				# np[0]*m
	&add	("eax",&DWP($frame,"esp"));		# +=tp[0]
	&mov	("eax",&DWP(4,$inp));			# np[1]
	&adc	("edx",0);
	&mov	($j,1);

&set_label("2ndmadd",16);
	&mov	($carry,"edx");
	&mul	($word);				# np[j]*m
	&add	($carry,&DWP($frame,"esp",$j,4));	# +=tp[j]
	&lea	($j,&DWP(1,$j));
	&adc	("edx",0);
	&add	($carry,"eax");
	&mov	("eax",&DWP(0,$inp,$j,4));		# np[j+1]
	&adc	("edx",0);
	&cmp	($j,$num);
	&mov	(&DWP($frame-8,"esp",$j,4),$carry);	# tp[j-1]=
	&jl	(&label("2ndmadd"));

	&mov	($carry,"edx");
	&mul	($word);				# np[j]*m
	&add	($carry,&DWP($frame,"esp",$num,4));	# +=tp[num-1]
	&adc	("edx",0);
	&add	($carry,"eax");
	&adc	("edx",0);
	&mov	(&DWP($frame-4,"esp",$num,4),$carry);	# tp[num-2]=

	&xor	("eax","eax");
	 &mov	($j,$_bp);				# &bp[i]
	&add	("edx",&DWP($frame+4,"esp",$num,4));	# carry+=tp[num]
	&adc	("eax",&DWP($frame+8,"esp",$num,4));	# +=tp[num+1]
	 &lea	($j,&DWP(4,$j));
	&mov	(&DWP($frame,"esp",$num,4),"edx");	# tp[num-1]=
	 &cmp	($j,$_bpend);
	&mov	(&DWP($frame+4,"esp",$num,4),"eax");	# tp[num]=
	&je	(&label("common_tail"));

	&mov	($word,&DWP(0,$j));			# bp[i+1]
	&mov	($inp,$_ap);
	&mov	($_bp,$j);				# &bp[++i]
	&xor	($j,$j);
	&xor	("edx","edx");
	&mov	("eax",&DWP(0,$inp));
	&jmp	(&label("1stmadd"));

&set_label("bn_sqr_mont",16);
$sbit=$num;
	&mov	($_num,$num);
	&mov	($_bp,$j);				# i=0

	&mov	("eax",$word);				# ap[0]
	&mul	($word);				# ap[0]*ap[0]
	&mov	(&DWP($frame,"esp"),"eax");		# tp[0]=
	&mov	($sbit,"edx");
	&shr	("edx",1);
	&and	($sbit,1);
	&inc	($j);
&set_label("sqr",16);
	&mov	("eax",&DWP(0,$inp,$j,4));		# ap[j]
	&mov	($carry,"edx");
	&mul	($word);				# ap[j]*ap[0]
	&add	("eax",$carry);
	&lea	($j,&DWP(1,$j));
	&adc	("edx",0);
	&lea	($carry,&DWP(0,$sbit,"eax",2));
	&shr	("eax",31);
	&cmp	($j,$_num);
	&mov	($sbit,"eax");
	&mov	(&DWP($frame-4,"esp",$j,4),$carry);	# tp[j]=
	&jl	(&label("sqr"));

	&mov	("eax",&DWP(0,$inp,$j,4));		# ap[num-1]
	&mov	($carry,"edx");
	&mul	($word);				# ap[num-1]*ap[0]
	&add	("eax",$carry);
	 &mov	($word,$_n0);
	&adc	("edx",0);
	 &mov	($inp,$_np);
	&lea	($carry,&DWP(0,$sbit,"eax",2));
	 &imul	($word,&DWP($frame,"esp"));		# n0*tp[0]
	&shr	("eax",31);
	&mov	(&DWP($frame,"esp",$j,4),$carry);	# tp[num-1]=

	&lea	($carry,&DWP(0,"eax","edx",2));
	 &mov	("eax",&DWP(0,$inp));			# np[0]
	&shr	("edx",31);
	&mov	(&DWP($frame+4,"esp",$j,4),$carry);	# tp[num]=
	&mov	(&DWP($frame+8,"esp",$j,4),"edx");	# tp[num+1]=

	&mul	($word);				# np[0]*m
	&add	("eax",&DWP($frame,"esp"));		# +=tp[0]
	&mov	($num,$j);
	&adc	("edx",0);
	&mov	("eax",&DWP(4,$inp));			# np[1]
	&mov	($j,1);

&set_label("3rdmadd",16);
	&mov	($carry,"edx");
	&mul	($word);				# np[j]*m
	&add	($carry,&DWP($frame,"esp",$j,4));	# +=tp[j]
	&adc	("edx",0);
	&add	($carry,"eax");
	&mov	("eax",&DWP(4,$inp,$j,4));		# np[j+1]
	&adc	("edx",0);
	&mov	(&DWP($frame-4,"esp",$j,4),$carry);	# tp[j-1]=

	&mov	($carry,"edx");
	&mul	($word);				# np[j+1]*m
	&add	($carry,&DWP($frame+4,"esp",$j,4));	# +=tp[j+1]
	&lea	($j,&DWP(2,$j));
	&adc	("edx",0);
	&add	($carry,"eax");
	&mov	("eax",&DWP(0,$inp,$j,4));		# np[j+2]
	&adc	("edx",0);
	&cmp	($j,$num);
	&mov	(&DWP($frame-8,"esp",$j,4),$carry);	# tp[j]=
	&jl	(&label("3rdmadd"));

	&mov	($carry,"edx");
	&mul	($word);				# np[j]*m
	&add	($carry,&DWP($frame,"esp",$num,4));	# +=tp[num-1]
	&adc	("edx",0);
	&add	($carry,"eax");
	&adc	("edx",0);
	&mov	(&DWP($frame-4,"esp",$num,4),$carry);	# tp[num-2]=

	&mov	($j,$_bp);				# i
	&xor	("eax","eax");
	&mov	($inp,$_ap);
	&add	("edx",&DWP($frame+4,"esp",$num,4));	# carry+=tp[num]
	&adc	("eax",&DWP($frame+8,"esp",$num,4));	# +=tp[num+1]
	&mov	(&DWP($frame,"esp",$num,4),"edx");	# tp[num-1]=
	&cmp	($j,$num);
	&mov	(&DWP($frame+4,"esp",$num,4),"eax");	# tp[num]=
	&je	(&label("common_tail"));

	&mov	($word,&DWP(4,$inp,$j,4));		# ap[i]
	&lea	($j,&DWP(1,$j));
	&mov	("eax",$word);
	&mov	($_bp,$j);				# ++i
	&mul	($word);				# ap[i]*ap[i]
	&add	("eax",&DWP($frame,"esp",$j,4));	# +=tp[i]
	&adc	("edx",0);
	&mov	(&DWP($frame,"esp",$j,4),"eax");	# tp[i]=
	&xor	($carry,$carry);
	&cmp	($j,$num);
	&lea	($j,&DWP(1,$j));
	&je	(&label("sqrlast"));

	&mov	($sbit,"edx");				# zaps $num
	&shr	("edx",1);
	&and	($sbit,1);
&set_label("sqradd",16);
	&mov	("eax",&DWP(0,$inp,$j,4));		# ap[j]
	&mov	($carry,"edx");
	&mul	($word);				# ap[j]*ap[i]
	&add	("eax",$carry);
	&lea	($carry,&DWP(0,"eax","eax"));
	&adc	("edx",0);
	&shr	("eax",31);
	&add	($carry,&DWP($frame,"esp",$j,4));	# +=tp[j]
	&lea	($j,&DWP(1,$j));
	&adc	("eax",0);
	&add	($carry,$sbit);
	&adc	("eax",0);
	&cmp	($j,$_num);
	&mov	(&DWP($frame-4,"esp",$j,4),$carry);	# tp[j]=
	&mov	($sbit,"eax");
	&jle	(&label("sqradd"));

	&mov	($carry,"edx");
	&add	("edx","edx");
	&shr	($carry,31);
	&add	("edx",$sbit);
	&adc	($carry,0);
&set_label("sqrlast");
	&mov	($word,$_n0);
	&mov	($inp,$_np);
	&imul	($word,&DWP($frame,"esp"));		# n0*tp[0]

	&add	("edx",&DWP($frame,"esp",$j,4));	# +=tp[num]
	&mov	("eax",&DWP(0,$inp));			# np[0]
	&adc	($carry,0);
	&mov	(&DWP($frame,"esp",$j,4),"edx");	# tp[num]=
	&mov	(&DWP($frame+4,"esp",$j,4),$carry);	# tp[num+1]=

	&mul	($word);				# np[0]*m
	&add	("eax",&DWP($frame,"esp"));		# +=tp[0]
	&lea	($num,&DWP(-1,$j));
	&adc	("edx",0);
	&mov	($j,1);
	&mov	("eax",&DWP(4,$inp));			# np[1]

	&jmp	(&label("3rdmadd"));
}

&set_label("common_tail",16);
	&mov	($np,$_np);			# load modulus pointer
	&mov	($rp,$_rp);			# load result pointer
	&lea	($tp,&DWP($frame,"esp"));	# [$ap and $bp are zapped]

	&mov	("eax",&DWP(0,$tp));		# tp[0]
	&mov	($j,$num);			# j=num-1
	&xor	($i,$i);			# i=0 and clear CF!

&set_label("sub",16);
	&sbb	("eax",&DWP(0,$np,$i,4));
	&mov	(&DWP(0,$rp,$i,4),"eax");	# rp[i]=tp[i]-np[i]
	&dec	($j);				# doesn't affect CF!
	&mov	("eax",&DWP(4,$tp,$i,4));	# tp[i+1]
	&lea	($i,&DWP(1,$i));		# i++
	&jge	(&label("sub"));

	&sbb	("eax",0);			# handle upmost overflow bit
	&mov	("edx",-1);
	&xor	("edx","eax");
	&jmp	(&label("copy"));

&set_label("copy",16);				# conditional copy
	&mov	($tp,&DWP($frame,"esp",$num,4));
	&mov	($np,&DWP(0,$rp,$num,4));
	&mov	(&DWP($frame,"esp",$num,4),$j);	# zap temporary vector
	&and	($tp,"eax");
	&and	($np,"edx");
	&or	($np,$tp);
	&mov	(&DWP(0,$rp,$num,4),$np);
	&dec	($num);
	&jge	(&label("copy"));

	&mov	("esp",$_sp);		# pull saved stack pointer
	&mov	("eax",1);
&set_label("just_leave");
&function_end("bn_mul_mont");

&asciz("Montgomery Multiplication for x86, CRYPTOGAMS by <appro\@openssl.org>");

&asm_finish();

close STDOUT or die "error closing STDOUT: $!";


#! /usr/bin/env perl
# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License").  You may not use
# this file except in compliance with the License.  You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html

#
# ====================================================================
# 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/.
# ====================================================================
#
# May 2011
#
# The module implements bn_GF2m_mul_2x2 polynomial multiplication used
# in bn_gf2m.c. It's kind of low-hanging mechanical port from C for
# the time being... Except that it has two code paths: code suitable
# for any x86_64 CPU and PCLMULQDQ one suitable for Westmere and
# later. Improvement varies from one benchmark and Âµ-arch to another.
# Vanilla code path is at most 20% faster than compiler-generated code
# [not very impressive], while PCLMULQDQ - whole 85%-160% better on
# 163- and 571-bit ECDH benchmarks on Intel CPUs. Keep in mind that
# these coefficients are not ones for bn_GF2m_mul_2x2 itself, as not
# all CPU time is burnt in it...

$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;

($lo,$hi)=("%rax","%rdx");	$a=$lo;
($i0,$i1)=("%rsi","%rdi");
($t0,$t1)=("%rbx","%rcx");
($b,$mask)=("%rbp","%r8");
($a1,$a2,$a4,$a8,$a12,$a48)=map("%r$_",(9..15));
($R,$Tx)=("%xmm0","%xmm1");

$code.=<<___;
.text

.type	_mul_1x1,\@abi-omnipotent
.align	16
_mul_1x1:
.cfi_startproc
	sub	\$128+8,%rsp
.cfi_adjust_cfa_offset	128+8
	mov	\$-1,$a1
	lea	($a,$a),$i0
	shr	\$3,$a1
	lea	(,$a,4),$i1
	and	$a,$a1			# a1=a&0x1fffffffffffffff
	lea	(,$a,8),$a8
	sar	\$63,$a			# broadcast 63rd bit
	lea	($a1,$a1),$a2
	sar	\$63,$i0		# broadcast 62nd bit
	lea	(,$a1,4),$a4
	and	$b,$a
	sar	\$63,$i1		# broadcast 61st bit
	mov	$a,$hi			# $a is $lo
	shl	\$63,$lo
	and	$b,$i0
	shr	\$1,$hi
	mov	$i0,$t1
	shl	\$62,$i0
	and	$b,$i1
	shr	\$2,$t1
	xor	$i0,$lo
	mov	$i1,$t0
	shl	\$61,$i1
	xor	$t1,$hi
	shr	\$3,$t0
	xor	$i1,$lo
	xor	$t0,$hi

	mov	$a1,$a12
	movq	\$0,0(%rsp)		# tab[0]=0
	xor	$a2,$a12		# a1^a2
	mov	$a1,8(%rsp)		# tab[1]=a1
	 mov	$a4,$a48
	mov	$a2,16(%rsp)		# tab[2]=a2
	 xor	$a8,$a48		# a4^a8
	mov	$a12,24(%rsp)		# tab[3]=a1^a2

	xor	$a4,$a1
	mov	$a4,32(%rsp)		# tab[4]=a4
	xor	$a4,$a2
	mov	$a1,40(%rsp)		# tab[5]=a1^a4
	xor	$a4,$a12
	mov	$a2,48(%rsp)		# tab[6]=a2^a4
	 xor	$a48,$a1		# a1^a4^a4^a8=a1^a8
	mov	$a12,56(%rsp)		# tab[7]=a1^a2^a4
	 xor	$a48,$a2		# a2^a4^a4^a8=a1^a8

	mov	$a8,64(%rsp)		# tab[8]=a8
	xor	$a48,$a12		# a1^a2^a4^a4^a8=a1^a2^a8
	mov	$a1,72(%rsp)		# tab[9]=a1^a8
	 xor	$a4,$a1			# a1^a8^a4
	mov	$a2,80(%rsp)		# tab[10]=a2^a8
	 xor	$a4,$a2			# a2^a8^a4
	mov	$a12,88(%rsp)		# tab[11]=a1^a2^a8

	xor	$a4,$a12		# a1^a2^a8^a4
	mov	$a48,96(%rsp)		# tab[12]=a4^a8
	 mov	$mask,$i0
	mov	$a1,104(%rsp)		# tab[13]=a1^a4^a8
	 and	$b,$i0
	mov	$a2,112(%rsp)		# tab[14]=a2^a4^a8
	 shr	\$4,$b
	mov	$a12,120(%rsp)		# tab[15]=a1^a2^a4^a8
	 mov	$mask,$i1
	 and	$b,$i1
	 shr	\$4,$b

	movq	(%rsp,$i0,8),$R		# half of calculations is done in SSE2
	mov	$mask,$i0
	and	$b,$i0
	shr	\$4,$b
___
    for ($n=1;$n<8;$n++) {
	$code.=<<___;
	mov	(%rsp,$i1,8),$t1
	mov	$mask,$i1
	mov	$t1,$t0
	shl	\$`8*$n-4`,$t1
	and	$b,$i1
	 movq	(%rsp,$i0,8),$Tx
	shr	\$`64-(8*$n-4)`,$t0
	xor	$t1,$lo
	 pslldq	\$$n,$Tx
	 mov	$mask,$i0
	shr	\$4,$b
	xor	$t0,$hi
	 and	$b,$i0
	 shr	\$4,$b
	 pxor	$Tx,$R
___
    }
$code.=<<___;
	mov	(%rsp,$i1,8),$t1
	mov	$t1,$t0
	shl	\$`8*$n-4`,$t1
	movq	$R,$i0
	shr	\$`64-(8*$n-4)`,$t0
	xor	$t1,$lo
	psrldq	\$8,$R
	xor	$t0,$hi
	movq	$R,$i1
	xor	$i0,$lo
	xor	$i1,$hi

	add	\$128+8,%rsp
.cfi_adjust_cfa_offset	-128-8
	ret
.Lend_mul_1x1:
.cfi_endproc
.size	_mul_1x1,.-_mul_1x1
___

($rp,$a1,$a0,$b1,$b0) = $win64?	("%rcx","%rdx","%r8", "%r9","%r10") :	# Win64 order
				("%rdi","%rsi","%rdx","%rcx","%r8");	# Unix order

$code.=<<___;
.extern	OPENSSL_ia32cap_P
.globl	bn_GF2m_mul_2x2
.type	bn_GF2m_mul_2x2,\@abi-omnipotent
.align	16
bn_GF2m_mul_2x2:
.cfi_startproc
	mov	%rsp,%rax
	mov	OPENSSL_ia32cap_P(%rip),%r10
	bt	\$33,%r10
	jnc	.Lvanilla_mul_2x2

	movq		$a1,%xmm0
	movq		$b1,%xmm1
	movq		$a0,%xmm2
___
$code.=<<___ if ($win64);
	movq		40(%rsp),%xmm3
___
$code.=<<___ if (!$win64);
	movq		$b0,%xmm3
___
$code.=<<___;
	movdqa		%xmm0,%xmm4
	movdqa		%xmm1,%xmm5
	pclmulqdq	\$0,%xmm1,%xmm0	# a1Â·b1
	pxor		%xmm2,%xmm4
	pxor		%xmm3,%xmm5
	pclmulqdq	\$0,%xmm3,%xmm2	# a0Â·b0
	pclmulqdq	\$0,%xmm5,%xmm4	# (a0+a1)Â·(b0+b1)
	xorps		%xmm0,%xmm4
	xorps		%xmm2,%xmm4	# (a0+a1)Â·(b0+b1)-a0Â·b0-a1Â·b1
	movdqa		%xmm4,%xmm5
	pslldq		\$8,%xmm4
	psrldq		\$8,%xmm5
	pxor		%xmm4,%xmm2
	pxor		%xmm5,%xmm0
	movdqu		%xmm2,0($rp)
	movdqu		%xmm0,16($rp)
	ret

.align	16
.Lvanilla_mul_2x2:
	lea	-8*17(%rsp),%rsp
.cfi_adjust_cfa_offset	8*17
___
$code.=<<___ if ($win64);
	mov	`8*17+40`(%rsp),$b0
	mov	%rdi,8*15(%rsp)
	mov	%rsi,8*16(%rsp)
___
$code.=<<___;
	mov	%r14,8*10(%rsp)
.cfi_rel_offset	%r14,8*10
	mov	%r13,8*11(%rsp)
.cfi_rel_offset	%r13,8*11
	mov	%r12,8*12(%rsp)
.cfi_rel_offset	%r12,8*12
	mov	%rbp,8*13(%rsp)
.cfi_rel_offset	%rbp,8*13
	mov	%rbx,8*14(%rsp)
.cfi_rel_offset	%rbx,8*14
.Lbody_mul_2x2:
	mov	$rp,32(%rsp)		# save the arguments
	mov	$a1,40(%rsp)
	mov	$a0,48(%rsp)
	mov	$b1,56(%rsp)
	mov	$b0,64(%rsp)

	mov	\$0xf,$mask
	mov	$a1,$a
	mov	$b1,$b
	call	_mul_1x1		# a1Â·b1
	mov	$lo,16(%rsp)
	mov	$hi,24(%rsp)

	mov	48(%rsp),$a
	mov	64(%rsp),$b
	call	_mul_1x1		# a0Â·b0
	mov	$lo,0(%rsp)
	mov	$hi,8(%rsp)

	mov	40(%rsp),$a
	mov	56(%rsp),$b
	xor	48(%rsp),$a
	xor	64(%rsp),$b
	call	_mul_1x1		# (a0+a1)Â·(b0+b1)
___
	@r=("%rbx","%rcx","%rdi","%rsi");
$code.=<<___;
	mov	0(%rsp),@r[0]
	mov	8(%rsp),@r[1]
	mov	16(%rsp),@r[2]
	mov	24(%rsp),@r[3]
	mov	32(%rsp),%rbp

	xor	$hi,$lo
	xor	@r[1],$hi
	xor	@r[0],$lo
	mov	@r[0],0(%rbp)
	xor	@r[2],$hi
	mov	@r[3],24(%rbp)
	xor	@r[3],$lo
	xor	@r[3],$hi
	xor	$hi,$lo
	mov	$hi,16(%rbp)
	mov	$lo,8(%rbp)

	mov	8*10(%rsp),%r14
.cfi_restore	%r14
	mov	8*11(%rsp),%r13
.cfi_restore	%r13
	mov	8*12(%rsp),%r12
.cfi_restore	%r12
	mov	8*13(%rsp),%rbp
.cfi_restore	%rbp
	mov	8*14(%rsp),%rbx
.cfi_restore	%rbx
___
$code.=<<___ if ($win64);
	mov	8*15(%rsp),%rdi
	mov	8*16(%rsp),%rsi
___
$code.=<<___;
	lea	8*17(%rsp),%rsp
.cfi_adjust_cfa_offset	-8*17
.Lepilogue_mul_2x2:
	ret
.Lend_mul_2x2:
.cfi_endproc
.size	bn_GF2m_mul_2x2,.-bn_GF2m_mul_2x2
.asciz	"GF(2^m) 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	se_handler,\@abi-omnipotent
.align	16
se_handler:
	push	%rsi
	push	%rdi
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15
	pushfq
	sub	\$64,%rsp

	mov	120($context),%rax	# pull context->Rax
	mov	248($context),%rbx	# pull context->Rip

	lea	.Lbody_mul_2x2(%rip),%r10
	cmp	%r10,%rbx		# context->Rip<"prologue" label
	jb	.Lin_prologue

	mov	152($context),%rax	# pull context->Rsp

	lea	.Lepilogue_mul_2x2(%rip),%r10
	cmp	%r10,%rbx		# context->Rip>="epilogue" label
	jae	.Lin_prologue

	mov	8*10(%rax),%r14		# mimic epilogue
	mov	8*11(%rax),%r13
	mov	8*12(%rax),%r12
	mov	8*13(%rax),%rbp
	mov	8*14(%rax),%rbx
	mov	8*15(%rax),%rdi
	mov	8*16(%rax),%rsi

	mov	%rbx,144($context)	# restore context->Rbx
	mov	%rbp,160($context)	# restore context->Rbp
	mov	%rsi,168($context)	# restore context->Rsi
	mov	%rdi,176($context)	# restore context->Rdi
	mov	%r12,216($context)	# restore context->R12
	mov	%r13,224($context)	# restore context->R13
	mov	%r14,232($context)	# restore context->R14

	lea	8*17(%rax),%rax

.Lin_prologue:
	mov	%rax,152($context)	# restore context->Rsp

	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	se_handler,.-se_handler

.section	.pdata
.align	4
	.rva	_mul_1x1
	.rva	.Lend_mul_1x1
	.rva	.LSEH_info_1x1

	.rva	.Lvanilla_mul_2x2
	.rva	.Lend_mul_2x2
	.rva	.LSEH_info_2x2
.section	.xdata
.align	8
.LSEH_info_1x1:
	.byte	0x01,0x07,0x02,0x00
	.byte	0x07,0x01,0x11,0x00	# sub rsp,128+8
.LSEH_info_2x2:
	.byte	9,0,0,0
	.rva	se_handler
___
}

$code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
close STDOUT or die "error closing STDOUT: $!";


#! /usr/bin/env perl
# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License").  You may not use
# this file except in compliance with the License.  You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html

# ====================================================================
# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
# project. The module is, however, dual licensed under OpenSSL and
# CRYPTOGAMS licenses depending on where you obtain it. For further
# details see http://www.openssl.org/~appro/cryptogams/.
# ====================================================================

# October 2005.
#
# Montgomery multiplication routine for x86_64. While it gives modest
# 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
# than twice, >2x, as fast. Most common rsa1024 sign is improved by
# respectful 50%. It remains to be seen if loop unrolling and
# dedicated squaring routine can provide further improvement...

# July 2011.
#
# Add dedicated squaring procedure. Performance improvement varies
# from platform to platform, but in average it's ~5%/15%/25%/33%
# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.

# August 2011.
#
# Unroll and modulo-schedule inner loops in such manner that they
# are "fallen through" for input lengths of 8, which is critical for
# 1024-bit RSA *sign*. Average performance improvement in comparison
# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.

# June 2013.
#
# Optimize reduction in squaring procedure and improve 1024+-bit RSA
# sign performance by 10-16% on Intel Sandy Bridge and later
# (virtually same on non-Intel processors).

# August 2013.
#
# Add MULX/ADOX/ADCX code path.

$flavour = shift;
$output  = shift;
if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }

$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);

$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
die "can't locate x86_64-xlate.pl";

open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"";
*STDOUT=*OUT;

if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
		=~ /GNU assembler version ([2-9]\.[0-9]+)/) {
	$addx = ($1>=2.23);
}

if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
	    `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
	$addx = ($1>=2.10);
}

if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
	    `ml64 2>&1` =~ /Version ([0-9]+)\./) {
	$addx = ($1>=12);
}

if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) {
	my $ver = $2 + $3/100.0;	# 3.1->3.01, 3.10->3.10
	$addx = ($ver>=3.03);
}

# int bn_mul_mont(
$rp="%rdi";	# BN_ULONG *rp,
$ap="%rsi";	# const BN_ULONG *ap,
$bp="%rdx";	# const BN_ULONG *bp,
$np="%rcx";	# const BN_ULONG *np,
$n0="%r8";	# const BN_ULONG *n0,
$num="%r9";	# int num);
$lo0="%r10";
$hi0="%r11";
$hi1="%r13";
$i="%r14";
$j="%r15";
$m0="%rbx";
$m1="%rbp";

$code=<<___;
.text

.extern	OPENSSL_ia32cap_P

.globl	bn_mul_mont
.type	bn_mul_mont,\@function,6
.align	16
bn_mul_mont:
.cfi_startproc
	mov	${num}d,${num}d
	mov	%rsp,%rax
.cfi_def_cfa_register	%rax
	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
.cfi_push	%rbx
	push	%rbp
.cfi_push	%rbp
	push	%r12
.cfi_push	%r12
	push	%r13
.cfi_push	%r13
	push	%r14
.cfi_push	%r14
	push	%r15
.cfi_push	%r15

	neg	$num
	mov	%rsp,%r11
	lea	-16(%rsp,$num,8),%r10	# future alloca(8*(num+2))
	neg	$num			# restore $num
	and	\$-1024,%r10		# minimize TLB usage

	# An OS-agnostic version of __chkstk.
	#
	# Some OSes (Windows) 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

.align	16
.Lmul_page_walk:
	lea	-4096(%rsp),%rsp
	mov	(%rsp),%r11
	cmp	%r10,%rsp
	ja	.Lmul_page_walk
.Lmul_page_walk_done:

	mov	%rax,8(%rsp,$num,8)	# tp[num+1]=%rsp
.cfi_cfa_expression	%rsp+8,$num,8,mul,plus,deref,+8
.Lmul_body:
	mov	$bp,%r12		# reassign $bp
___
		$bp="%r12";
$code.=<<___;
	mov	($n0),$n0		# pull n0[0] value
	mov	($bp),$m0		# m0=bp[0]
	mov	($ap),%rax

	xor	$i,$i			# i=0
	xor	$j,$j			# j=0

	mov	$n0,$m1
	mulq	$m0			# ap[0]*bp[0]
	mov	%rax,$lo0
	mov	($np),%rax

	imulq	$lo0,$m1		# "tp[0]"*n0
	mov	%rdx,$hi0

	mulq	$m1			# np[0]*m1
	add	%rax,$lo0		# discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	%rdx,$hi1

	lea	1($j),$j		# j++
	jmp	.L1st_enter

.align	16
.L1st:
	add	%rax,$hi1
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
	mov	$lo0,$hi0
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1

.L1st_enter:
	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$hi0
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	lea	1($j),$j		# j++
	mov	%rdx,$lo0

	mulq	$m1			# np[j]*m1
	cmp	$num,$j
	jne	.L1st

	add	%rax,$hi1
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1
	mov	$lo0,$hi0

	xor	%rdx,%rdx
	add	$hi0,$hi1
	adc	\$0,%rdx
	mov	$hi1,-8(%rsp,$num,8)
	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit

	lea	1($i),$i		# i++
	jmp	.Louter
.align	16
.Louter:
	mov	($bp,$i,8),$m0		# m0=bp[i]
	xor	$j,$j			# j=0
	mov	$n0,$m1
	mov	(%rsp),$lo0
	mulq	$m0			# ap[0]*bp[i]
	add	%rax,$lo0		# ap[0]*bp[i]+tp[0]
	mov	($np),%rax
	adc	\$0,%rdx

	imulq	$lo0,$m1		# tp[0]*n0
	mov	%rdx,$hi0

	mulq	$m1			# np[0]*m1
	add	%rax,$lo0		# discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	8(%rsp),$lo0		# tp[1]
	mov	%rdx,$hi1

	lea	1($j),$j		# j++
	jmp	.Linner_enter

.align	16
.Linner:
	add	%rax,$hi1
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
	mov	(%rsp,$j,8),$lo0
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1

.Linner_enter:
	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$hi0
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	add	$hi0,$lo0		# ap[j]*bp[i]+tp[j]
	mov	%rdx,$hi0
	adc	\$0,$hi0
	lea	1($j),$j		# j++

	mulq	$m1			# np[j]*m1
	cmp	$num,$j
	jne	.Linner

	add	%rax,$hi1
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
	mov	(%rsp,$j,8),$lo0
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1

	xor	%rdx,%rdx
	add	$hi0,$hi1
	adc	\$0,%rdx
	add	$lo0,$hi1		# pull upmost overflow bit
	adc	\$0,%rdx
	mov	$hi1,-8(%rsp,$num,8)
	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit

	lea	1($i),$i		# i++
	cmp	$num,$i
	jb	.Louter

	xor	$i,$i			# i=0 and clear CF!
	mov	(%rsp),%rax		# tp[0]
	mov	$num,$j			# j=num

.align	16
.Lsub:	sbb	($np,$i,8),%rax
	mov	%rax,($rp,$i,8)		# rp[i]=tp[i]-np[i]
	mov	8(%rsp,$i,8),%rax	# tp[i+1]
	lea	1($i),$i		# i++
	dec	$j			# doesn't affect CF!
	jnz	.Lsub

	sbb	\$0,%rax		# handle upmost overflow bit
	mov	\$-1,%rbx
	xor	%rax,%rbx		# not %rax
	xor	$i,$i
	mov	$num,$j			# j=num

.Lcopy:					# conditional copy
	mov	($rp,$i,8),%rcx
	mov	(%rsp,$i,8),%rdx
	and	%rbx,%rcx
	and	%rax,%rdx
	mov	$num,(%rsp,$i,8)	# zap temporary vector
	or	%rcx,%rdx
	mov	%rdx,($rp,$i,8)		# rp[i]=tp[i]
	lea	1($i),$i
	sub	\$1,$j
	jnz	.Lcopy

	mov	8(%rsp,$num,8),%rsi	# restore %rsp
.cfi_def_cfa	%rsi,8
	mov	\$1,%rax
	mov	-48(%rsi),%r15
.cfi_restore	%r15
	mov	-40(%rsi),%r14
.cfi_restore	%r14
	mov	-32(%rsi),%r13
.cfi_restore	%r13
	mov	-24(%rsi),%r12
.cfi_restore	%r12
	mov	-16(%rsi),%rbp
.cfi_restore	%rbp
	mov	-8(%rsi),%rbx
.cfi_restore	%rbx
	lea	(%rsi),%rsp
.cfi_def_cfa_register	%rsp
.Lmul_epilogue:
	ret
.cfi_endproc
.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:
.cfi_startproc
	mov	${num}d,${num}d
	mov	%rsp,%rax
.cfi_def_cfa_register	%rax
.Lmul4x_enter:
___
$code.=<<___ if ($addx);
	and	\$0x80100,%r11d
	cmp	\$0x80100,%r11d
	je	.Lmulx4x_enter
___
$code.=<<___;
	push	%rbx
.cfi_push	%rbx
	push	%rbp
.cfi_push	%rbp
	push	%r12
.cfi_push	%r12
	push	%r13
.cfi_push	%r13
	push	%r14
.cfi_push	%r14
	push	%r15
.cfi_push	%r15

	neg	$num
	mov	%rsp,%r11
	lea	-32(%rsp,$num,8),%r10	# future alloca(8*(num+4))
	neg	$num			# restore
	and	\$-1024,%r10		# minimize TLB usage

	sub	%r10,%r11
	and	\$-4096,%r11
	lea	(%r10,%r11),%rsp
	mov	(%rsp),%r11
	cmp	%r10,%rsp
	ja	.Lmul4x_page_walk
	jmp	.Lmul4x_page_walk_done

.Lmul4x_page_walk:
	lea	-4096(%rsp),%rsp
	mov	(%rsp),%r11
	cmp	%r10,%rsp
	ja	.Lmul4x_page_walk
.Lmul4x_page_walk_done:

	mov	%rax,8(%rsp,$num,8)	# tp[num+1]=%rsp
.cfi_cfa_expression	%rsp+8,$num,8,mul,plus,deref,+8
.Lmul4x_body:
	mov	$rp,16(%rsp,$num,8)	# tp[num+2]=$rp
	mov	%rdx,%r12		# reassign $bp
___
		$bp="%r12";
$code.=<<___;
	mov	($n0),$n0		# pull n0[0] value
	mov	($bp),$m0		# m0=bp[0]
	mov	($ap),%rax

	xor	$i,$i			# i=0
	xor	$j,$j			# j=0

	mov	$n0,$m1
	mulq	$m0			# ap[0]*bp[0]
	mov	%rax,$A[0]
	mov	($np),%rax

	imulq	$A[0],$m1		# "tp[0]"*n0
	mov	%rdx,$A[1]

	mulq	$m1			# np[0]*m1
	add	%rax,$A[0]		# discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	%rdx,$N[1]

	mulq	$m0
	add	%rax,$A[1]
	mov	8($np),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1
	add	%rax,$N[1]
	mov	16($ap),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]
	lea	4($j),$j		# j++
	adc	\$0,%rdx
	mov	$N[1],(%rsp)
	mov	%rdx,$N[0]
	jmp	.L1st4x
.align	16
.L1st4x:
	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[0]
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[0],-8(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[1]
	mov	8($np,$j,8),%rax
	adc	\$0,%rdx
	lea	4($j),$j		# j++
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	-16($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]
	cmp	$num,$j
	jb	.L1st4x

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	xor	$N[1],$N[1]
	add	$A[0],$N[0]
	adc	\$0,$N[1]
	mov	$N[0],-8(%rsp,$j,8)
	mov	$N[1],(%rsp,$j,8)	# store upmost overflow bit

	lea	1($i),$i		# i++
.align	4
.Louter4x:
	mov	($bp,$i,8),$m0		# m0=bp[i]
	xor	$j,$j			# j=0
	mov	(%rsp),$A[0]
	mov	$n0,$m1
	mulq	$m0			# ap[0]*bp[i]
	add	%rax,$A[0]		# ap[0]*bp[i]+tp[0]
	mov	($np),%rax
	adc	\$0,%rdx

	imulq	$A[0],$m1		# tp[0]*n0
	mov	%rdx,$A[1]

	mulq	$m1			# np[0]*m1
	add	%rax,$A[0]		# "$N[0]", discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	8($np),%rax
	adc	\$0,%rdx
	add	8(%rsp),$A[1]		# +tp[1]
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	16($ap),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[i]+tp[j]
	lea	4($j),$j		# j+=2
	adc	\$0,%rdx
	mov	$N[1],(%rsp)		# tp[j-1]
	mov	%rdx,$N[0]
	jmp	.Linner4x
.align	16
.Linner4x:
	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	add	-16(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	add	-8(%rsp,$j,8),$A[1]
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[0]
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	add	(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]
	adc	\$0,%rdx
	mov	$N[0],-8(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	8($np,$j,8),%rax
	adc	\$0,%rdx
	add	8(%rsp,$j,8),$A[1]
	adc	\$0,%rdx
	lea	4($j),$j		# j++
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	-16($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]
	adc	\$0,%rdx
	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]
	cmp	$num,$j
	jb	.Linner4x

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	add	-16(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	add	-8(%rsp,$j,8),$A[1]
	adc	\$0,%rdx
	lea	1($i),$i		# i++
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$A[1],$N[1]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	xor	$N[1],$N[1]
	add	$A[0],$N[0]
	adc	\$0,$N[1]
	add	(%rsp,$num,8),$N[0]	# pull upmost overflow bit
	adc	\$0,$N[1]
	mov	$N[0],-8(%rsp,$j,8)
	mov	$N[1],(%rsp,$j,8)	# store upmost overflow bit

	cmp	$num,$i
	jb	.Louter4x
___
{
my @ri=("%rax","%rdx",$m0,$m1);
$code.=<<___;
	mov	16(%rsp,$num,8),$rp	# restore $rp
	lea	-4($num),$j
	mov	0(%rsp),@ri[0]		# tp[0]
	mov	8(%rsp),@ri[1]		# tp[1]
	shr	\$2,$j			# j=num/4-1
	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]

.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			# doesn'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]
	pxor	%xmm0,%xmm0
	movq	@ri[0],%xmm4
	pcmpeqd	%xmm5,%xmm5
	pshufd	\$0,%xmm4,%xmm4
	mov	$num,$j
	pxor	%xmm4,%xmm5
	shr	\$2,$j			# j=num/4
	xor	%eax,%eax		# i=0

	jmp	.Lcopy4x
.align	16
.Lcopy4x:				# conditional copy
	movdqa	(%rsp,%rax),%xmm1
	movdqu	($rp,%rax),%xmm2
	pand	%xmm4,%xmm1
	pand	%xmm5,%xmm2
	movdqa	16(%rsp,%rax),%xmm3
	movdqa	%xmm0,(%rsp,%rax)
	por	%xmm2,%xmm1
	movdqu	16($rp,%rax),%xmm2
	movdqu	%xmm1,($rp,%rax)
	pand	%xmm4,%xmm3
	pand	%xmm5,%xmm2
	movdqa	%xmm0,16(%rsp,%rax)
	por	%xmm2,%xmm3
	movdqu	%xmm3,16($rp,%rax)
	lea	32(%rax),%rax
	dec	$j
	jnz	.Lcopy4x
___
}
$code.=<<___;
	mov	8(%rsp,$num,8),%rsi	# restore %rsp
.cfi_def_cfa	%rsi, 8
	mov	\$1,%rax
	mov	-48(%rsi),%r15
.cfi_restore	%r15
	mov	-40(%rsi),%r14
.cfi_restore	%r14
	mov	-32(%rsi),%r13
.cfi_restore	%r13
	mov	-24(%rsi),%r12
.cfi_restore	%r12
	mov	-16(%rsi),%rbp
.cfi_restore	%rbp
	mov	-8(%rsi),%rbx
.cfi_restore	%rbx
	lea	(%rsi),%rsp
.cfi_def_cfa_register	%rsp
.Lmul4x_epilogue:
	ret
.cfi_endproc
.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:
.cfi_startproc
	mov	%rsp,%rax
.cfi_def_cfa_register	%rax
.Lsqr8x_enter:
	push	%rbx
.cfi_push	%rbx
	push	%rbp
.cfi_push	%rbp
	push	%r12
.cfi_push	%r12
	push	%r13
.cfi_push	%r13
	push	%r14
.cfi_push	%r14
	push	%r15
.cfi_push	%r15
.Lsqr8x_prologue:

	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,2),%r11
	mov	%rsp,%rbp
	mov	($n0),$n0		# *n0
	sub	$aptr,%r11
	and	\$4095,%r11
	cmp	%r11,%r10
	jb	.Lsqr8x_sp_alt
	sub	%r11,%rbp		# align with $aptr
	lea	-64(%rbp,$num,2),%rbp	# future alloca(frame+2*$num)
	jmp	.Lsqr8x_sp_done

.align	32
.Lsqr8x_sp_alt:
	lea	4096-64(,$num,2),%r10	# 4096-frame-2*$num
	lea	-64(%rbp,$num,2),%rbp	# future alloca(frame+2*$num)
	sub	%r10,%r11
	mov	\$0,%r10
	cmovc	%r10,%r11
	sub	%r11,%rbp
.Lsqr8x_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	.Lsqr8x_page_walk
	jmp	.Lsqr8x_page_walk_done

.align	16
.Lsqr8x_page_walk:
	lea	-4096(%rsp),%rsp
	mov	(%rsp),%r10
	cmp	%rbp,%rsp
	ja	.Lsqr8x_page_walk
.Lsqr8x_page_walk_done:

	mov	$num,%r10
	neg	$num

	mov	$n0,  32(%rsp)
	mov	%rax, 40(%rsp)		# save original %rsp
.cfi_cfa_expression	%rsp+40,deref,+8
.Lsqr8x_body:

	movq	$nptr, %xmm2		# save pointer to modulus
	pxor	%xmm0,%xmm0
	movq	$rptr,%xmm1		# save $rptr
	movq	%r10, %xmm3		# -$num
___
$code.=<<___ if ($addx);
	mov	OPENSSL_ia32cap_P+8(%rip),%eax
	and	\$0x80100,%eax
	cmp	\$0x80100,%eax
	jne	.Lsqr8x_nox

	call	bn_sqrx8x_internal	# see x86_64-mont5 module
					# %rax	top-most carry
					# %rbp	nptr
					# %rcx	-8*num
					# %r8	end of tp[2*num]
	lea	(%r8,%rcx),%rbx
	mov	%rcx,$num
	mov	%rcx,%rdx
	movq	%xmm1,$rptr
	sar	\$3+2,%rcx		# %cf=0
	jmp	.Lsqr8x_sub

.align	32
.Lsqr8x_nox:
___
$code.=<<___;
	call	bn_sqr8x_internal	# see x86_64-mont5 module
					# %rax	top-most carry
					# %rbp	nptr
					# %r8	-8*num
					# %rdi	end of tp[2*num]
	lea	(%rdi,$num),%rbx
	mov	$num,%rcx
	mov	$num,%rdx
	movq	%xmm1,$rptr
	sar	\$3+2,%rcx		# %cf=0
	jmp	.Lsqr8x_sub

.align	32
.Lsqr8x_sub:
	mov	8*0(%rbx),%r12
	mov	8*1(%rbx),%r13
	mov	8*2(%rbx),%r14
	mov	8*3(%rbx),%r15
	lea	8*4(%rbx),%rbx
	sbb	8*0(%rbp),%r12
	sbb	8*1(%rbp),%r13
	sbb	8*2(%rbp),%r14
	sbb	8*3(%rbp),%r15
	lea	8*4(%rbp),%rbp
	mov	%r12,8*0($rptr)
	mov	%r13,8*1($rptr)
	mov	%r14,8*2($rptr)
	mov	%r15,8*3($rptr)
	lea	8*4($rptr),$rptr
	inc	%rcx			# preserves %cf
	jnz	.Lsqr8x_sub

	sbb	\$0,%rax		# top-most carry
	lea	(%rbx,$num),%rbx	# rewind
	lea	($rptr,$num),$rptr	# rewind

	movq	%rax,%xmm1
	pxor	%xmm0,%xmm0
	pshufd	\$0,%xmm1,%xmm1
	mov	40(%rsp),%rsi		# restore %rsp
.cfi_def_cfa	%rsi,8
	jmp	.Lsqr8x_cond_copy

.align	32
.Lsqr8x_cond_copy:
	movdqa	16*0(%rbx),%xmm2
	movdqa	16*1(%rbx),%xmm3
	lea	16*2(%rbx),%rbx
	movdqu	16*0($rptr),%xmm4
	movdqu	16*1($rptr),%xmm5
	lea	16*2($rptr),$rptr
	movdqa	%xmm0,-16*2(%rbx)	# zero tp
	movdqa	%xmm0,-16*1(%rbx)
	movdqa	%xmm0,-16*2(%rbx,%rdx)
	movdqa	%xmm0,-16*1(%rbx,%rdx)
	pcmpeqd	%xmm1,%xmm0
	pand	%xmm1,%xmm2
	pand	%xmm1,%xmm3
	pand	%xmm0,%xmm4
	pand	%xmm0,%xmm5
	pxor	%xmm0,%xmm0
	por	%xmm2,%xmm4
	por	%xmm3,%xmm5
	movdqu	%xmm4,-16*2($rptr)
	movdqu	%xmm5,-16*1($rptr)
	add	\$32,$num
	jnz	.Lsqr8x_cond_copy

	mov	\$1,%rax
	mov	-48(%rsi),%r15
.cfi_restore	%r15
	mov	-40(%rsi),%r14
.cfi_restore	%r14
	mov	-32(%rsi),%r13
.cfi_restore	%r13
	mov	-24(%rsi),%r12
.cfi_restore	%r12
	mov	-16(%rsi),%rbp
.cfi_restore	%rbp
	mov	-8(%rsi),%rbx
.cfi_restore	%rbx
	lea	(%rsi),%rsp
.cfi_def_cfa_register	%rsp
.Lsqr8x_epilogue:
	ret
.cfi_endproc
.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:
.cfi_startproc
	mov	%rsp,%rax
.cfi_def_cfa_register	%rax
.Lmulx4x_enter:
	push	%rbx
.cfi_push	%rbx
	push	%rbp
.cfi_push	%rbp
	push	%r12
.cfi_push	%r12
	push	%r13
.cfi_push	%r13
	push	%r14
.cfi_push	%r14
	push	%r15
.cfi_push	%r15
.Lmulx4x_prologue:

	shl	\$3,${num}d		# convert $num to bytes
	xor	%r10,%r10
	sub	$num,%r10		# -$num
	mov	($n0),$n0		# *n0
	lea	-72(%rsp,%r10),%rbp	# future alloca(frame+$num+8)
	and	\$-128,%rbp
	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

.align	16
.Lmulx4x_page_walk:
	lea	-4096(%rsp),%rsp
	mov	(%rsp),%r10
	cmp	%rbp,%rsp
	ja	.Lmulx4x_page_walk
.Lmulx4x_page_walk_done:

	lea	($bp,$num),%r10
	##############################################################
	# 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
.cfi_cfa_expression	%rsp+40,deref,+8
	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	-2*8($tptr),%r12
	adcx	$zero,%r13
	adox	$zero,%r13

	mov	$bptr,8(%rsp)		# off-load &b[i]
	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	$mi,%rdx
	adcx	%rax,%r13
	adox	-1*8($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),$zero	# pull top-most carry
	adc	%r15,%r14
	sbb	%r15,%r15		# top-most carry
	mov	%r14,-1*8($tptr)

	cmp	16(%rsp),$bptr
	jne	.Lmulx4x_outer

	lea	64(%rsp),$tptr
	sub	$num,$nptr		# rewind $nptr
	neg	%r15
	mov	$num,%rdx
	shr	\$3+2,$num		# %cf=0
	mov	32(%rsp),$rptr		# restore rp
	jmp	.Lmulx4x_sub

.align	32
.Lmulx4x_sub:
	mov	8*0($tptr),%r11
	mov	8*1($tptr),%r12
	mov	8*2($tptr),%r13
	mov	8*3($tptr),%r14
	lea	8*4($tptr),$tptr
	sbb	8*0($nptr),%r11
	sbb	8*1($nptr),%r12
	sbb	8*2($nptr),%r13
	sbb	8*3($nptr),%r14
	lea	8*4($nptr),$nptr
	mov	%r11,8*0($rptr)
	mov	%r12,8*1($rptr)
	mov	%r13,8*2($rptr)
	mov	%r14,8*3($rptr)
	lea	8*4($rptr),$rptr
	dec	$num			# preserves %cf
	jnz	.Lmulx4x_sub

	sbb	\$0,%r15		# top-most carry
	lea	64(%rsp),$tptr
	sub	%rdx,$rptr		# rewind

	movq	%r15,%xmm1
	pxor	%xmm0,%xmm0
	pshufd	\$0,%xmm1,%xmm1
	mov	40(%rsp),%rsi		# restore %rsp
.cfi_def_cfa	%rsi,8
	jmp	.Lmulx4x_cond_copy

.align	32
.Lmulx4x_cond_copy:
	movdqa	16*0($tptr),%xmm2
	movdqa	16*1($tptr),%xmm3
	lea	16*2($tptr),$tptr
	movdqu	16*0($rptr),%xmm4
	movdqu	16*1($rptr),%xmm5
	lea	16*2($rptr),$rptr
	movdqa	%xmm0,-16*2($tptr)	# zero tp
	movdqa	%xmm0,-16*1($tptr)
	pcmpeqd	%xmm1,%xmm0
	pand	%xmm1,%xmm2
	pand	%xmm1,%xmm3
	pand	%xmm0,%xmm4
	pand	%xmm0,%xmm5
	pxor	%xmm0,%xmm0
	por	%xmm2,%xmm4
	por	%xmm3,%xmm5
	movdqu	%xmm4,-16*2($rptr)
	movdqu	%xmm5,-16*1($rptr)
	sub	\$32,%rdx
	jnz	.Lmulx4x_cond_copy

	mov	%rdx,($tptr)

	mov	\$1,%rax
	mov	-48(%rsi),%r15
.cfi_restore	%r15
	mov	-40(%rsi),%r14
.cfi_restore	%r14
	mov	-32(%rsi),%r13
.cfi_restore	%r13
	mov	-24(%rsi),%r12
.cfi_restore	%r12
	mov	-16(%rsi),%rbp
.cfi_restore	%rbp
	mov	-8(%rsi),%rbx
.cfi_restore	%rbx
	lea	(%rsi),%rsp
.cfi_def_cfa_register	%rsp
.Lmulx4x_epilogue:
	ret
.cfi_endproc
.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

	jmp	.Lcommon_pop_regs
.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_prologue
	jb	.Lcommon_seh_tail

	mov	4(%r11),%r10d		# HandlerData[1]
	lea	(%rsi,%r10),%r10	# body label
	cmp	%r10,%rbx		# context->Rip<.Lsqr_body
	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>=.Lsqr_epilogue
	jae	.Lcommon_seh_tail

	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	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_prologue,.Lsqr8x_body,.Lsqr8x_epilogue		# HandlerData[]
.align	8
___
$code.=<<___ if ($addx);
.LSEH_info_bn_mulx4x_mont:
	.byte	9,0,0,0
	.rva	sqr_handler
	.rva	.Lmulx4x_prologue,.Lmulx4x_body,.Lmulx4x_epilogue	# HandlerData[]
.align	8
___
}

print $code;
close STDOUT or die "error closing STDOUT: $!";