6dc994265e
These files are otherwise up-to-date with OpenSSL master as of 50ea9d2b3521467a11559be41dcf05ee05feabd6, modulo a couple of spelling fixes which I've imported. I've also reverted the same-line label and instruction patch to x86_64-mont*.pl. The new delocate parser handles that fine. Change-Id: Ife35c671a8104c3cc2fb6c5a03127376fccc4402 Reviewed-on: https://boringssl-review.googlesource.com/25644 Reviewed-by: Adam Langley <agl@google.com>
1583 lines
32 KiB
Perl
Executable File
1583 lines
32 KiB
Perl
Executable File
#! /usr/bin/env perl
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# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
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#
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# Licensed under the OpenSSL license (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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# Montgomery multiplication routine for x86_64. While it gives modest
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# 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
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# than twice, >2x, as fast. Most common rsa1024 sign is improved by
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# respectful 50%. It remains to be seen if loop unrolling and
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# dedicated squaring routine can provide further improvement...
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# July 2011.
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#
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# Add dedicated squaring procedure. Performance improvement varies
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# from platform to platform, but in average it's ~5%/15%/25%/33%
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# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
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# August 2011.
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#
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# Unroll and modulo-schedule inner loops in such manner that they
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# are "fallen through" for input lengths of 8, which is critical for
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# 1024-bit RSA *sign*. Average performance improvement in comparison
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# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
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# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
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# June 2013.
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#
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# Optimize reduction in squaring procedure and improve 1024+-bit RSA
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# sign performance by 10-16% on Intel Sandy Bridge and later
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# (virtually same on non-Intel processors).
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# August 2013.
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#
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# Add MULX/ADOX/ADCX code path.
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$flavour = shift;
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$output = shift;
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if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
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$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
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( $xlate="${dir}../../../perlasm/x86_64-xlate.pl" and -f $xlate) or
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die "can't locate x86_64-xlate.pl";
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open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"";
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*STDOUT=*OUT;
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# In upstream, this is controlled by shelling out to the compiler to check
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# versions, but BoringSSL is intended to be used with pre-generated perlasm
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# output, so this isn't useful anyway.
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#
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# TODO(davidben): Set $addx to one once build problems are resolved.
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$addx = 0;
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# int bn_mul_mont(
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$rp="%rdi"; # BN_ULONG *rp,
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$ap="%rsi"; # const BN_ULONG *ap,
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$bp="%rdx"; # const BN_ULONG *bp,
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$np="%rcx"; # const BN_ULONG *np,
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$n0="%r8"; # const BN_ULONG *n0,
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$num="%r9"; # int num);
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$lo0="%r10";
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$hi0="%r11";
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$hi1="%r13";
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$i="%r14";
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$j="%r15";
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$m0="%rbx";
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$m1="%rbp";
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$code=<<___;
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.text
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.extern OPENSSL_ia32cap_P
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.globl bn_mul_mont
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.type bn_mul_mont,\@function,6
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.align 16
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bn_mul_mont:
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.cfi_startproc
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mov ${num}d,${num}d
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mov %rsp,%rax
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.cfi_def_cfa_register %rax
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test \$3,${num}d
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jnz .Lmul_enter
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cmp \$8,${num}d
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jb .Lmul_enter
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___
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$code.=<<___ if ($addx);
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leaq OPENSSL_ia32cap_P(%rip),%r11
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mov 8(%r11),%r11d
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___
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$code.=<<___;
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cmp $ap,$bp
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jne .Lmul4x_enter
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test \$7,${num}d
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jz .Lsqr8x_enter
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jmp .Lmul4x_enter
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.align 16
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.Lmul_enter:
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push %rbx
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.cfi_push %rbx
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push %rbp
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.cfi_push %rbp
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push %r12
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.cfi_push %r12
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push %r13
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.cfi_push %r13
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push %r14
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.cfi_push %r14
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push %r15
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.cfi_push %r15
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neg $num
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mov %rsp,%r11
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lea -16(%rsp,$num,8),%r10 # future alloca(8*(num+2))
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neg $num # restore $num
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and \$-1024,%r10 # minimize TLB usage
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# An OS-agnostic version of __chkstk.
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#
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# Some OSes (Windows) insist on stack being "wired" to
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# physical memory in strictly sequential manner, i.e. if stack
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# allocation spans two pages, then reference to farmost one can
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# be punishable by SEGV. But page walking can do good even on
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# other OSes, because it guarantees that villain thread hits
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# the guard page before it can make damage to innocent one...
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sub %r10,%r11
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and \$-4096,%r11
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lea (%r10,%r11),%rsp
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mov (%rsp),%r11
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cmp %r10,%rsp
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ja .Lmul_page_walk
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jmp .Lmul_page_walk_done
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.align 16
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.Lmul_page_walk:
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lea -4096(%rsp),%rsp
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mov (%rsp),%r11
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cmp %r10,%rsp
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ja .Lmul_page_walk
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.Lmul_page_walk_done:
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mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp
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.cfi_cfa_expression %rsp+8,$num,8,mul,plus,deref,+8
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.Lmul_body:
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mov $bp,%r12 # reassign $bp
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___
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$bp="%r12";
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$code.=<<___;
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mov ($n0),$n0 # pull n0[0] value
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mov ($bp),$m0 # m0=bp[0]
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mov ($ap),%rax
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xor $i,$i # i=0
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xor $j,$j # j=0
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mov $n0,$m1
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mulq $m0 # ap[0]*bp[0]
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mov %rax,$lo0
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mov ($np),%rax
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imulq $lo0,$m1 # "tp[0]"*n0
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mov %rdx,$hi0
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mulq $m1 # np[0]*m1
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add %rax,$lo0 # discarded
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mov 8($ap),%rax
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adc \$0,%rdx
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mov %rdx,$hi1
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lea 1($j),$j # j++
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jmp .L1st_enter
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.align 16
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.L1st:
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add %rax,$hi1
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mov ($ap,$j,8),%rax
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adc \$0,%rdx
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add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
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mov $lo0,$hi0
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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.L1st_enter:
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mulq $m0 # ap[j]*bp[0]
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add %rax,$hi0
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mov ($np,$j,8),%rax
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adc \$0,%rdx
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lea 1($j),$j # j++
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mov %rdx,$lo0
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mulq $m1 # np[j]*m1
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cmp $num,$j
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jne .L1st
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add %rax,$hi1
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mov ($ap),%rax # ap[0]
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adc \$0,%rdx
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add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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mov $lo0,$hi0
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xor %rdx,%rdx
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add $hi0,$hi1
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adc \$0,%rdx
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mov $hi1,-8(%rsp,$num,8)
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mov %rdx,(%rsp,$num,8) # store upmost overflow bit
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lea 1($i),$i # i++
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jmp .Louter
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.align 16
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.Louter:
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mov ($bp,$i,8),$m0 # m0=bp[i]
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xor $j,$j # j=0
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mov $n0,$m1
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mov (%rsp),$lo0
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mulq $m0 # ap[0]*bp[i]
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add %rax,$lo0 # ap[0]*bp[i]+tp[0]
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mov ($np),%rax
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adc \$0,%rdx
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imulq $lo0,$m1 # tp[0]*n0
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mov %rdx,$hi0
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mulq $m1 # np[0]*m1
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add %rax,$lo0 # discarded
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mov 8($ap),%rax
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adc \$0,%rdx
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mov 8(%rsp),$lo0 # tp[1]
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mov %rdx,$hi1
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lea 1($j),$j # j++
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jmp .Linner_enter
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.align 16
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.Linner:
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add %rax,$hi1
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mov ($ap,$j,8),%rax
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adc \$0,%rdx
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add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
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mov (%rsp,$j,8),$lo0
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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.Linner_enter:
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mulq $m0 # ap[j]*bp[i]
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add %rax,$hi0
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mov ($np,$j,8),%rax
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adc \$0,%rdx
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add $hi0,$lo0 # ap[j]*bp[i]+tp[j]
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mov %rdx,$hi0
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adc \$0,$hi0
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lea 1($j),$j # j++
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mulq $m1 # np[j]*m1
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cmp $num,$j
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jne .Linner
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add %rax,$hi1
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mov ($ap),%rax # ap[0]
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adc \$0,%rdx
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add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
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mov (%rsp,$j,8),$lo0
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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xor %rdx,%rdx
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add $hi0,$hi1
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adc \$0,%rdx
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add $lo0,$hi1 # pull upmost overflow bit
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adc \$0,%rdx
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mov $hi1,-8(%rsp,$num,8)
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mov %rdx,(%rsp,$num,8) # store upmost overflow bit
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lea 1($i),$i # i++
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cmp $num,$i
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jb .Louter
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xor $i,$i # i=0 and clear CF!
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mov (%rsp),%rax # tp[0]
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lea (%rsp),$ap # borrow ap for tp
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mov $num,$j # j=num
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jmp .Lsub
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.align 16
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.Lsub: sbb ($np,$i,8),%rax
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mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
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mov 8($ap,$i,8),%rax # tp[i+1]
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lea 1($i),$i # i++
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dec $j # doesn't affect CF!
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jnz .Lsub
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sbb \$0,%rax # handle upmost overflow bit
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xor $i,$i
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and %rax,$ap
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not %rax
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mov $rp,$np
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and %rax,$np
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mov $num,$j # j=num
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or $np,$ap # ap=borrow?tp:rp
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.align 16
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.Lcopy: # copy or in-place refresh
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mov ($ap,$i,8),%rax
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mov $i,(%rsp,$i,8) # zap temporary vector
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mov %rax,($rp,$i,8) # rp[i]=tp[i]
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lea 1($i),$i
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sub \$1,$j
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jnz .Lcopy
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mov 8(%rsp,$num,8),%rsi # restore %rsp
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.cfi_def_cfa %rsi,8
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mov \$1,%rax
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mov -48(%rsi),%r15
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.cfi_restore %r15
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mov -40(%rsi),%r14
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.cfi_restore %r14
|
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mov -32(%rsi),%r13
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.cfi_restore %r13
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mov -24(%rsi),%r12
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.cfi_restore %r12
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mov -16(%rsi),%rbp
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.cfi_restore %rbp
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mov -8(%rsi),%rbx
|
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.cfi_restore %rbx
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lea (%rsi),%rsp
|
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.cfi_def_cfa_register %rsp
|
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.Lmul_epilogue:
|
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ret
|
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.cfi_endproc
|
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.size bn_mul_mont,.-bn_mul_mont
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___
|
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{{{
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my @A=("%r10","%r11");
|
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my @N=("%r13","%rdi");
|
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$code.=<<___;
|
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.type bn_mul4x_mont,\@function,6
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.align 16
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bn_mul4x_mont:
|
||
.cfi_startproc
|
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mov ${num}d,${num}d
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mov %rsp,%rax
|
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.cfi_def_cfa_register %rax
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.Lmul4x_enter:
|
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___
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$code.=<<___ if ($addx);
|
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and \$0x80100,%r11d
|
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cmp \$0x80100,%r11d
|
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je .Lmulx4x_enter
|
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___
|
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$code.=<<___;
|
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push %rbx
|
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.cfi_push %rbx
|
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push %rbp
|
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.cfi_push %rbp
|
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push %r12
|
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.cfi_push %r12
|
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push %r13
|
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.cfi_push %r13
|
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push %r14
|
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.cfi_push %r14
|
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push %r15
|
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.cfi_push %r15
|
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|
||
neg $num
|
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mov %rsp,%r11
|
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lea -32(%rsp,$num,8),%r10 # future alloca(8*(num+4))
|
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neg $num # restore
|
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and \$-1024,%r10 # minimize TLB usage
|
||
|
||
sub %r10,%r11
|
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and \$-4096,%r11
|
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lea (%r10,%r11),%rsp
|
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mov (%rsp),%r11
|
||
cmp %r10,%rsp
|
||
ja .Lmul4x_page_walk
|
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jmp .Lmul4x_page_walk_done
|
||
|
||
.Lmul4x_page_walk:
|
||
lea -4096(%rsp),%rsp
|
||
mov (%rsp),%r11
|
||
cmp %r10,%rsp
|
||
ja .Lmul4x_page_walk
|
||
.Lmul4x_page_walk_done:
|
||
|
||
mov %rax,8(%rsp,$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),$j
|
||
mov 0(%rsp),@ri[0] # tp[0]
|
||
pxor %xmm0,%xmm0
|
||
mov 8(%rsp),@ri[1] # tp[1]
|
||
shr \$2,$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]
|
||
jmp .Lsub4x
|
||
.align 16
|
||
.Lsub4x:
|
||
mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
|
||
mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
|
||
sbb 16($np,$i,8),@ri[2]
|
||
mov 32($ap,$i,8),@ri[0] # tp[i+1]
|
||
mov 40($ap,$i,8),@ri[1]
|
||
sbb 24($np,$i,8),@ri[3]
|
||
mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
|
||
mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
|
||
sbb 32($np,$i,8),@ri[0]
|
||
mov 48($ap,$i,8),@ri[2]
|
||
mov 56($ap,$i,8),@ri[3]
|
||
sbb 40($np,$i,8),@ri[1]
|
||
lea 4($i),$i # i++
|
||
dec $j # doesn't affect CF!
|
||
jnz .Lsub4x
|
||
|
||
mov @ri[0],0($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]
|
||
xor $i,$i # i=0
|
||
and @ri[0],$ap
|
||
not @ri[0]
|
||
mov $rp,$np
|
||
and @ri[0],$np
|
||
lea -4($num),$j
|
||
or $np,$ap # ap=borrow?tp:rp
|
||
shr \$2,$j # j=num/4-1
|
||
|
||
movdqu ($ap),%xmm1
|
||
movdqa %xmm0,(%rsp)
|
||
movdqu %xmm1,($rp)
|
||
jmp .Lcopy4x
|
||
.align 16
|
||
.Lcopy4x: # copy or in-place refresh
|
||
movdqu 16($ap,$i),%xmm2
|
||
movdqu 32($ap,$i),%xmm1
|
||
movdqa %xmm0,16(%rsp,$i)
|
||
movdqu %xmm2,16($rp,$i)
|
||
movdqa %xmm0,32(%rsp,$i)
|
||
movdqu %xmm1,32($rp,$i)
|
||
lea 32($i),$i
|
||
dec $j
|
||
jnz .Lcopy4x
|
||
|
||
movdqu 16($ap,$i),%xmm2
|
||
movdqa %xmm0,16(%rsp,$i)
|
||
movdqu %xmm2,16($rp,$i)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
mov 8(%rsp,$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);
|
||
leaq OPENSSL_ia32cap_P(%rip),%rax
|
||
mov 8(%rax),%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;
|