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#! /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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$addx = 1; |
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# int bn_mul_mont( |
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$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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# TODO(davidben): The code below treats $num as an int, but C passes in a |
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# size_t. |
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$num="%r9"; # size_t 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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mov $num,$j # j=num |
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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(%rsp,$i,8),%rax # tp[i+1] |
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lea 1($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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mov \$-1,%rbx |
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xor %rax,%rbx # not %rax |
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xor $i,$i |
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mov $num,$j # j=num |
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.Lcopy: # conditional copy |
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mov ($rp,$i,8),%rcx |
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mov (%rsp,$i,8),%rdx |
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and %rbx,%rcx |
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and %rax,%rdx |
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mov $num,(%rsp,$i,8) # zap temporary vector |
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or %rcx,%rdx |
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mov %rdx,($rp,$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: |
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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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.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 $num # restore |
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and \$-1024,%r10 # minimize TLB usage |
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sub %r10,%r11 |
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and \$-4096,%r11 |
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lea (%r10,%r11),%rsp |
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mov (%rsp),%r11 |
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cmp %r10,%rsp |
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ja .Lmul4x_page_walk |
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jmp .Lmul4x_page_walk_done |
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.Lmul4x_page_walk: |
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lea -4096(%rsp),%rsp |
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mov (%rsp),%r11 |
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cmp %r10,%rsp |
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ja .Lmul4x_page_walk |
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.Lmul4x_page_walk_done: |
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mov %rax,8(%rsp,$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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.Lmul4x_body: |
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mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp |
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mov %rdx,%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 $m0 # ap[0]*bp[0] |
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mov %rax,$A[0] |
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mov ($np),%rax |
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imulq $A[0],$m1 # "tp[0]"*n0 |
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mov %rdx,$A[1] |
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mulq $m1 # np[0]*m1 |
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add %rax,$A[0] # discarded |
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mov 8($ap),%rax |
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adc \$0,%rdx |
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mov %rdx,$N[1] |
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mulq $m0 |
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add %rax,$A[1] |
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mov 8($np),%rax |
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adc \$0,%rdx |
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mov %rdx,$A[0] |
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mulq $m1 |
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add %rax,$N[1] |
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mov 16($ap),%rax |
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adc \$0,%rdx |
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add $A[1],$N[1] |
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lea 4($j),$j # j++ |
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adc \$0,%rdx |
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mov $N[1],(%rsp) |
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mov %rdx,$N[0] |
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jmp .L1st4x |
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.align 16 |
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.L1st4x: |
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mulq $m0 # ap[j]*bp[0] |
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add %rax,$A[0] |
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mov -16($np,$j,8),%rax |
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adc \$0,%rdx |
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mov %rdx,$A[1] |
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mulq $m1 # np[j]*m1 |
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add %rax,$N[0] |
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mov -8($ap,$j,8),%rax |
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adc \$0,%rdx |
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add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
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adc \$0,%rdx |
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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); |
|
|
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 or die "error closing STDOUT: $!";
|
|
|
|