631 lines
17 KiB
Perl
631 lines
17 KiB
Perl
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#! /usr/bin/env perl
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# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
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#
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# Licensed under the Apache License 2.0 (the "License"). You may not use
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# this file except in compliance with the License. You can obtain a copy
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# in the file LICENSE in the source distribution or at
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# https://www.openssl.org/source/license.html
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# ====================================================================
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# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
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# project. The module is, however, dual licensed under OpenSSL and
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# CRYPTOGAMS licenses depending on where you obtain it. For further
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# details see http://www.openssl.org/~appro/cryptogams/.
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# ====================================================================
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# October 2005
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#
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# This is a "teaser" code, as it can be improved in several ways...
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# First of all non-SSE2 path should be implemented (yes, for now it
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# performs Montgomery multiplication/convolution only on SSE2-capable
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# CPUs such as P4, others fall down to original code). Then inner loop
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# can be unrolled and modulo-scheduled to improve ILP and possibly
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# moved to 128-bit XMM register bank (though it would require input
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# rearrangement and/or increase bus bandwidth utilization). Dedicated
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# squaring procedure should give further performance improvement...
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# Yet, for being draft, the code improves rsa512 *sign* benchmark by
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# 110%(!), rsa1024 one - by 70% and rsa4096 - by 20%:-)
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# December 2006
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#
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# Modulo-scheduling SSE2 loops results in further 15-20% improvement.
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# Integer-only code [being equipped with dedicated squaring procedure]
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# gives ~40% on rsa512 sign benchmark...
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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push(@INC,"${dir}","${dir}../../perlasm");
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require "x86asm.pl";
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$output = pop and open STDOUT,">$output";
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&asm_init($ARGV[0]);
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$sse2=0;
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for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
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&external_label("OPENSSL_ia32cap_P") if ($sse2);
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&function_begin("bn_mul_mont");
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$i="edx";
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$j="ecx";
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$ap="esi"; $tp="esi"; # overlapping variables!!!
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$rp="edi"; $bp="edi"; # overlapping variables!!!
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$np="ebp";
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$num="ebx";
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$_num=&DWP(4*0,"esp"); # stack top layout
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$_rp=&DWP(4*1,"esp");
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$_ap=&DWP(4*2,"esp");
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$_bp=&DWP(4*3,"esp");
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$_np=&DWP(4*4,"esp");
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$_n0=&DWP(4*5,"esp"); $_n0q=&QWP(4*5,"esp");
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$_sp=&DWP(4*6,"esp");
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$_bpend=&DWP(4*7,"esp");
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$frame=32; # size of above frame rounded up to 16n
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&xor ("eax","eax");
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&mov ("edi",&wparam(5)); # int num
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&cmp ("edi",4);
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&jl (&label("just_leave"));
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&lea ("esi",&wparam(0)); # put aside pointer to argument block
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&lea ("edx",&wparam(1)); # load ap
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&add ("edi",2); # extra two words on top of tp
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&neg ("edi");
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&lea ("ebp",&DWP(-$frame,"esp","edi",4)); # future alloca($frame+4*(num+2))
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&neg ("edi");
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# minimize cache contention by arranging 2K window between stack
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# pointer and ap argument [np is also position sensitive vector,
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# but it's assumed to be near ap, as it's allocated at ~same
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# time].
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&mov ("eax","ebp");
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&sub ("eax","edx");
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&and ("eax",2047);
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&sub ("ebp","eax"); # this aligns sp and ap modulo 2048
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&xor ("edx","ebp");
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&and ("edx",2048);
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&xor ("edx",2048);
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&sub ("ebp","edx"); # this splits them apart modulo 4096
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&and ("ebp",-64); # align to cache line
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# An OS-agnostic version of __chkstk.
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#
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# Some OSes (Windows) insist on stack being "wired" to
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# physical memory in strictly sequential manner, i.e. if stack
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# allocation spans two pages, then reference to farmost one can
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# be punishable by SEGV. But page walking can do good even on
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# other OSes, because it guarantees that villain thread hits
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# the guard page before it can make damage to innocent one...
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&mov ("eax","esp");
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&sub ("eax","ebp");
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&and ("eax",-4096);
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&mov ("edx","esp"); # saved stack pointer!
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&lea ("esp",&DWP(0,"ebp","eax"));
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&mov ("eax",&DWP(0,"esp"));
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&cmp ("esp","ebp");
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&ja (&label("page_walk"));
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&jmp (&label("page_walk_done"));
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&set_label("page_walk",16);
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&lea ("esp",&DWP(-4096,"esp"));
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&mov ("eax",&DWP(0,"esp"));
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&cmp ("esp","ebp");
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&ja (&label("page_walk"));
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&set_label("page_walk_done");
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################################# load argument block...
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&mov ("eax",&DWP(0*4,"esi"));# BN_ULONG *rp
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&mov ("ebx",&DWP(1*4,"esi"));# const BN_ULONG *ap
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&mov ("ecx",&DWP(2*4,"esi"));# const BN_ULONG *bp
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&mov ("ebp",&DWP(3*4,"esi"));# const BN_ULONG *np
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&mov ("esi",&DWP(4*4,"esi"));# const BN_ULONG *n0
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#&mov ("edi",&DWP(5*4,"esi"));# int num
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&mov ("esi",&DWP(0,"esi")); # pull n0[0]
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&mov ($_rp,"eax"); # ... save a copy of argument block
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&mov ($_ap,"ebx");
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&mov ($_bp,"ecx");
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&mov ($_np,"ebp");
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&mov ($_n0,"esi");
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&lea ($num,&DWP(-3,"edi")); # num=num-1 to assist modulo-scheduling
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#&mov ($_num,$num); # redundant as $num is not reused
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&mov ($_sp,"edx"); # saved stack pointer!
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if($sse2) {
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$acc0="mm0"; # mmx register bank layout
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$acc1="mm1";
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$car0="mm2";
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$car1="mm3";
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$mul0="mm4";
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$mul1="mm5";
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$temp="mm6";
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$mask="mm7";
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&picmeup("eax","OPENSSL_ia32cap_P");
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&bt (&DWP(0,"eax"),26);
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&jnc (&label("non_sse2"));
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&mov ("eax",-1);
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&movd ($mask,"eax"); # mask 32 lower bits
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&mov ($ap,$_ap); # load input pointers
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&mov ($bp,$_bp);
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&mov ($np,$_np);
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&xor ($i,$i); # i=0
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&xor ($j,$j); # j=0
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&movd ($mul0,&DWP(0,$bp)); # bp[0]
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&movd ($mul1,&DWP(0,$ap)); # ap[0]
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&movd ($car1,&DWP(0,$np)); # np[0]
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&pmuludq($mul1,$mul0); # ap[0]*bp[0]
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&movq ($car0,$mul1);
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&movq ($acc0,$mul1); # I wish movd worked for
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&pand ($acc0,$mask); # inter-register transfers
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&pmuludq($mul1,$_n0q); # *=n0
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&pmuludq($car1,$mul1); # "t[0]"*np[0]*n0
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&paddq ($car1,$acc0);
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&movd ($acc1,&DWP(4,$np)); # np[1]
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&movd ($acc0,&DWP(4,$ap)); # ap[1]
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&psrlq ($car0,32);
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&psrlq ($car1,32);
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&inc ($j); # j++
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&set_label("1st",16);
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&pmuludq($acc0,$mul0); # ap[j]*bp[0]
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&pmuludq($acc1,$mul1); # np[j]*m1
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&paddq ($car0,$acc0); # +=c0
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&paddq ($car1,$acc1); # +=c1
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&movq ($acc0,$car0);
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&pand ($acc0,$mask);
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&movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1]
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&paddq ($car1,$acc0); # +=ap[j]*bp[0];
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&movd ($acc0,&DWP(4,$ap,$j,4)); # ap[j+1]
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&psrlq ($car0,32);
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&movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]=
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&psrlq ($car1,32);
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&lea ($j,&DWP(1,$j));
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&cmp ($j,$num);
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&jl (&label("1st"));
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&pmuludq($acc0,$mul0); # ap[num-1]*bp[0]
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&pmuludq($acc1,$mul1); # np[num-1]*m1
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&paddq ($car0,$acc0); # +=c0
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&paddq ($car1,$acc1); # +=c1
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&movq ($acc0,$car0);
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&pand ($acc0,$mask);
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&paddq ($car1,$acc0); # +=ap[num-1]*bp[0];
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&movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[num-2]=
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&psrlq ($car0,32);
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&psrlq ($car1,32);
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&paddq ($car1,$car0);
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&movq (&QWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1]
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&inc ($i); # i++
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&set_label("outer");
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&xor ($j,$j); # j=0
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&movd ($mul0,&DWP(0,$bp,$i,4)); # bp[i]
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&movd ($mul1,&DWP(0,$ap)); # ap[0]
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&movd ($temp,&DWP($frame,"esp")); # tp[0]
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&movd ($car1,&DWP(0,$np)); # np[0]
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&pmuludq($mul1,$mul0); # ap[0]*bp[i]
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&paddq ($mul1,$temp); # +=tp[0]
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&movq ($acc0,$mul1);
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&movq ($car0,$mul1);
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&pand ($acc0,$mask);
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&pmuludq($mul1,$_n0q); # *=n0
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&pmuludq($car1,$mul1);
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&paddq ($car1,$acc0);
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&movd ($temp,&DWP($frame+4,"esp")); # tp[1]
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&movd ($acc1,&DWP(4,$np)); # np[1]
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&movd ($acc0,&DWP(4,$ap)); # ap[1]
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&psrlq ($car0,32);
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&psrlq ($car1,32);
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&paddq ($car0,$temp); # +=tp[1]
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&inc ($j); # j++
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&dec ($num);
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&set_label("inner");
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&pmuludq($acc0,$mul0); # ap[j]*bp[i]
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&pmuludq($acc1,$mul1); # np[j]*m1
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&paddq ($car0,$acc0); # +=c0
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&paddq ($car1,$acc1); # +=c1
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&movq ($acc0,$car0);
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&movd ($temp,&DWP($frame+4,"esp",$j,4));# tp[j+1]
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&pand ($acc0,$mask);
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&movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1]
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&paddq ($car1,$acc0); # +=ap[j]*bp[i]+tp[j]
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&movd ($acc0,&DWP(4,$ap,$j,4)); # ap[j+1]
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&psrlq ($car0,32);
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&movd (&DWP($frame-4,"esp",$j,4),$car1);# tp[j-1]=
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&psrlq ($car1,32);
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&paddq ($car0,$temp); # +=tp[j+1]
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&dec ($num);
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&lea ($j,&DWP(1,$j)); # j++
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&jnz (&label("inner"));
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&mov ($num,$j);
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&pmuludq($acc0,$mul0); # ap[num-1]*bp[i]
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&pmuludq($acc1,$mul1); # np[num-1]*m1
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&paddq ($car0,$acc0); # +=c0
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&paddq ($car1,$acc1); # +=c1
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&movq ($acc0,$car0);
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&pand ($acc0,$mask);
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&paddq ($car1,$acc0); # +=ap[num-1]*bp[i]+tp[num-1]
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&movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[num-2]=
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&psrlq ($car0,32);
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&psrlq ($car1,32);
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&movd ($temp,&DWP($frame+4,"esp",$num,4)); # += tp[num]
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&paddq ($car1,$car0);
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&paddq ($car1,$temp);
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&movq (&QWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1]
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&lea ($i,&DWP(1,$i)); # i++
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&cmp ($i,$num);
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&jle (&label("outer"));
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&emms (); # done with mmx bank
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&jmp (&label("common_tail"));
|
|||
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|||
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&set_label("non_sse2",16);
|
|||
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}
|
|||
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|
|||
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if (0) {
|
|||
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&mov ("esp",$_sp);
|
|||
|
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&xor ("eax","eax"); # signal "not fast enough [yet]"
|
|||
|
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&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...
|
|||
|
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} else {
|
|||
|
|
$inp="esi"; # integer path uses these registers differently
|
|||
|
|
$word="edi";
|
|||
|
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$carry="ebp";
|
|||
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|
|||
|
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&mov ($inp,$_ap);
|
|||
|
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&lea ($carry,&DWP(1,$num));
|
|||
|
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&mov ($word,$_bp);
|
|||
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&xor ($j,$j); # j=0
|
|||
|
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&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: $!";
|