817 lines
17 KiB
Perl
817 lines
17 KiB
Perl
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#!/usr/bin/env perl
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# Copyright 2018 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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# ====================================================================
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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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#
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# X25519 lower-level primitives for x86_86.
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#
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# February 2018.
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#
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# This module implements radix 2^51 multiplication and squaring, and
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# radix 2^64 multiplication, squaring, addition, subtraction and final
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# reduction. Latter radix is used on ADCX/ADOX-capable processors such
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# as Broadwell. On related note one should mention that there are
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# vector implementations that provide significantly better performance
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# on some processors(*), but they are large and overly complex. Which
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# in combination with them being effectively processor-specific makes
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# the undertaking hard to justify. The goal for this implementation
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# is rather versatility and simplicity [and ultimately formal
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# verification].
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#
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# (*) For example sandy2x should provide ~30% improvement on Sandy
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# Bridge, but only nominal ~5% on Haswell [and big loss on
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# Broadwell and successors].
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#
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######################################################################
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# Improvement coefficients:
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#
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# amd64-51(*) gcc-5.x(**)
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#
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# P4 +22% +40%
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# Sandy Bridge -3% +11%
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# Haswell -1% +13%
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# Broadwell(***) +26% +30%
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# Skylake(***) +30% +47%
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# Silvermont +20% +26%
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# Goldmont +40% +50%
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# Bulldozer +20% +9%
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# Ryzen(***) +35% +32%
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# VIA +170% +120%
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#
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# (*) amd64-51 is popular assembly implementation with 2^51 radix,
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# only multiplication and squaring subroutines were linked
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# for comparison, but not complete ladder step; gain on most
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# processors is because this module refrains from shld, and
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# minor regression on others is because this does result in
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# higher instruction count;
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# (**) compiler is free to inline functions, in assembly one would
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# need to implement ladder step to do that, and it will improve
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# performance by several percent;
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# (***) ADCX/ADOX result for 2^64 radix, there is no corresponding
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# C implementation, so that comparison is always against
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# 2^51 radix;
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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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if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
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=~ /GNU assembler version ([2-9]\.[0-9]+)/) {
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$addx = ($1>=2.23);
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}
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if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
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`nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
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$addx = ($1>=2.10);
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}
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if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
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`ml64 2>&1` =~ /Version ([0-9]+)\./) {
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$addx = ($1>=12);
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}
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if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
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my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
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$addx = ($ver>=3.03);
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}
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$code.=<<___;
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.text
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.globl x25519_fe51_mul
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.type x25519_fe51_mul,\@function,3
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.align 32
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x25519_fe51_mul:
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push %rbp
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push %rbx
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push %r12
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push %r13
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push %r14
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push %r15
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lea -8*5(%rsp),%rsp
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mov 8*0(%rsi),%rax # f[0]
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mov 8*0(%rdx),%r11 # load g[0-4]
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mov 8*1(%rdx),%r12
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mov 8*2(%rdx),%r13
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mov 8*3(%rdx),%rbp
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mov 8*4(%rdx),%r14
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mov %rdi,8*4(%rsp) # offload 1st argument
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mov %rax,%rdi
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mulq %r11 # f[0]*g[0]
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mov %r11,8*0(%rsp) # offload g[0]
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mov %rax,%rbx # %rbx:%rcx = h0
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mov %rdi,%rax
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mov %rdx,%rcx
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mulq %r12 # f[0]*g[1]
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mov %r12,8*1(%rsp) # offload g[1]
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mov %rax,%r8 # %r8:%r9 = h1
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mov %rdi,%rax
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lea (%r14,%r14,8),%r15
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mov %rdx,%r9
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mulq %r13 # f[0]*g[2]
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mov %r13,8*2(%rsp) # offload g[2]
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mov %rax,%r10 # %r10:%r11 = h2
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mov %rdi,%rax
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lea (%r14,%r15,2),%rdi # g[4]*19
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mov %rdx,%r11
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mulq %rbp # f[0]*g[3]
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mov %rax,%r12 # %r12:%r13 = h3
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mov 8*0(%rsi),%rax # f[0]
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mov %rdx,%r13
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mulq %r14 # f[0]*g[4]
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mov %rax,%r14 # %r14:%r15 = h4
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mov 8*1(%rsi),%rax # f[1]
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mov %rdx,%r15
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mulq %rdi # f[1]*g[4]*19
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add %rax,%rbx
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mov 8*2(%rsi),%rax # f[2]
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adc %rdx,%rcx
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mulq %rdi # f[2]*g[4]*19
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add %rax,%r8
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mov 8*3(%rsi),%rax # f[3]
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adc %rdx,%r9
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mulq %rdi # f[3]*g[4]*19
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add %rax,%r10
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mov 8*4(%rsi),%rax # f[4]
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adc %rdx,%r11
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mulq %rdi # f[4]*g[4]*19
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imulq \$19,%rbp,%rdi # g[3]*19
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add %rax,%r12
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mov 8*1(%rsi),%rax # f[1]
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adc %rdx,%r13
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mulq %rbp # f[1]*g[3]
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mov 8*2(%rsp),%rbp # g[2]
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add %rax,%r14
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mov 8*2(%rsi),%rax # f[2]
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adc %rdx,%r15
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mulq %rdi # f[2]*g[3]*19
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add %rax,%rbx
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mov 8*3(%rsi),%rax # f[3]
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adc %rdx,%rcx
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mulq %rdi # f[3]*g[3]*19
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add %rax,%r8
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mov 8*4(%rsi),%rax # f[4]
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adc %rdx,%r9
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mulq %rdi # f[4]*g[3]*19
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imulq \$19,%rbp,%rdi # g[2]*19
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add %rax,%r10
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mov 8*1(%rsi),%rax # f[1]
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adc %rdx,%r11
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mulq %rbp # f[1]*g[2]
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add %rax,%r12
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mov 8*2(%rsi),%rax # f[2]
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adc %rdx,%r13
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mulq %rbp # f[2]*g[2]
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mov 8*1(%rsp),%rbp # g[1]
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add %rax,%r14
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mov 8*3(%rsi),%rax # f[3]
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adc %rdx,%r15
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mulq %rdi # f[3]*g[2]*19
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add %rax,%rbx
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mov 8*4(%rsi),%rax # f[3]
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adc %rdx,%rcx
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mulq %rdi # f[4]*g[2]*19
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add %rax,%r8
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mov 8*1(%rsi),%rax # f[1]
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adc %rdx,%r9
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mulq %rbp # f[1]*g[1]
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imulq \$19,%rbp,%rdi
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add %rax,%r10
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mov 8*2(%rsi),%rax # f[2]
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adc %rdx,%r11
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mulq %rbp # f[2]*g[1]
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add %rax,%r12
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mov 8*3(%rsi),%rax # f[3]
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adc %rdx,%r13
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mulq %rbp # f[3]*g[1]
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mov 8*0(%rsp),%rbp # g[0]
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add %rax,%r14
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mov 8*4(%rsi),%rax # f[4]
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adc %rdx,%r15
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mulq %rdi # f[4]*g[1]*19
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add %rax,%rbx
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mov 8*1(%rsi),%rax # f[1]
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adc %rdx,%rcx
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mul %rbp # f[1]*g[0]
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add %rax,%r8
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mov 8*2(%rsi),%rax # f[2]
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adc %rdx,%r9
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mul %rbp # f[2]*g[0]
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add %rax,%r10
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mov 8*3(%rsi),%rax # f[3]
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adc %rdx,%r11
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mul %rbp # f[3]*g[0]
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add %rax,%r12
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mov 8*4(%rsi),%rax # f[4]
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adc %rdx,%r13
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mulq %rbp # f[4]*g[0]
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add %rax,%r14
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adc %rdx,%r15
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mov 8*4(%rsp),%rdi # restore 1st argument
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jmp .Lreduce51
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.size x25519_fe51_mul,.-x25519_fe51_mul
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.globl x25519_fe51_sqr
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.type x25519_fe51_sqr,\@function,2
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.align 32
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x25519_fe51_sqr:
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push %rbp
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push %rbx
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push %r12
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push %r13
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push %r14
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push %r15
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lea -8*5(%rsp),%rsp
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mov 8*0(%rsi),%rax # g[0]
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mov 8*2(%rsi),%r15 # g[2]
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mov 8*4(%rsi),%rbp # g[4]
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mov %rdi,8*4(%rsp) # offload 1st argument
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lea (%rax,%rax),%r14
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mulq %rax # g[0]*g[0]
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mov %rax,%rbx
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mov 8*1(%rsi),%rax # g[1]
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mov %rdx,%rcx
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mulq %r14 # 2*g[0]*g[1]
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mov %rax,%r8
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mov %r15,%rax
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mov %r15,8*0(%rsp) # offload g[2]
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mov %rdx,%r9
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mulq %r14 # 2*g[0]*g[2]
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mov %rax,%r10
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mov 8*3(%rsi),%rax
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mov %rdx,%r11
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imulq \$19,%rbp,%rdi # g[4]*19
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mulq %r14 # 2*g[0]*g[3]
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mov %rax,%r12
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mov %rbp,%rax
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mov %rdx,%r13
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mulq %r14 # 2*g[0]*g[4]
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mov %rax,%r14
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mov %rbp,%rax
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mov %rdx,%r15
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mulq %rdi # g[4]*g[4]*19
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add %rax,%r12
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mov 8*1(%rsi),%rax # g[1]
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adc %rdx,%r13
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mov 8*3(%rsi),%rsi # g[3]
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lea (%rax,%rax),%rbp
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mulq %rax # g[1]*g[1]
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add %rax,%r10
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mov 8*0(%rsp),%rax # g[2]
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adc %rdx,%r11
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mulq %rbp # 2*g[1]*g[2]
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add %rax,%r12
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mov %rbp,%rax
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adc %rdx,%r13
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mulq %rsi # 2*g[1]*g[3]
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add %rax,%r14
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mov %rbp,%rax
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adc %rdx,%r15
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imulq \$19,%rsi,%rbp # g[3]*19
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mulq %rdi # 2*g[1]*g[4]*19
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add %rax,%rbx
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lea (%rsi,%rsi),%rax
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adc %rdx,%rcx
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mulq %rdi # 2*g[3]*g[4]*19
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add %rax,%r10
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mov %rsi,%rax
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adc %rdx,%r11
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mulq %rbp # g[3]*g[3]*19
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add %rax,%r8
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mov 8*0(%rsp),%rax # g[2]
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adc %rdx,%r9
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lea (%rax,%rax),%rsi
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mulq %rax # g[2]*g[2]
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add %rax,%r14
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mov %rbp,%rax
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adc %rdx,%r15
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mulq %rsi # 2*g[2]*g[3]*19
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add %rax,%rbx
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mov %rsi,%rax
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adc %rdx,%rcx
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mulq %rdi # 2*g[2]*g[4]*19
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add %rax,%r8
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adc %rdx,%r9
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mov 8*4(%rsp),%rdi # restore 1st argument
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jmp .Lreduce51
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.align 32
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.Lreduce51:
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mov \$0x7ffffffffffff,%rbp
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mov %r10,%rdx
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shr \$51,%r10
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shl \$13,%r11
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and %rbp,%rdx # %rdx = g2 = h2 & mask
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||
|
|
or %r10,%r11 # h2>>51
|
||
|
|
add %r11,%r12
|
||
|
|
adc \$0,%r13 # h3 += h2>>51
|
||
|
|
|
||
|
|
mov %rbx,%rax
|
||
|
|
shr \$51,%rbx
|
||
|
|
shl \$13,%rcx
|
||
|
|
and %rbp,%rax # %rax = g0 = h0 & mask
|
||
|
|
or %rbx,%rcx # h0>>51
|
||
|
|
add %rcx,%r8 # h1 += h0>>51
|
||
|
|
adc \$0,%r9
|
||
|
|
|
||
|
|
mov %r12,%rbx
|
||
|
|
shr \$51,%r12
|
||
|
|
shl \$13,%r13
|
||
|
|
and %rbp,%rbx # %rbx = g3 = h3 & mask
|
||
|
|
or %r12,%r13 # h3>>51
|
||
|
|
add %r13,%r14 # h4 += h3>>51
|
||
|
|
adc \$0,%r15
|
||
|
|
|
||
|
|
mov %r8,%rcx
|
||
|
|
shr \$51,%r8
|
||
|
|
shl \$13,%r9
|
||
|
|
and %rbp,%rcx # %rcx = g1 = h1 & mask
|
||
|
|
or %r8,%r9
|
||
|
|
add %r9,%rdx # g2 += h1>>51
|
||
|
|
|
||
|
|
mov %r14,%r10
|
||
|
|
shr \$51,%r14
|
||
|
|
shl \$13,%r15
|
||
|
|
and %rbp,%r10 # %r10 = g4 = h0 & mask
|
||
|
|
or %r14,%r15 # h0>>51
|
||
|
|
|
||
|
|
lea (%r15,%r15,8),%r14
|
||
|
|
lea (%r15,%r14,2),%r15
|
||
|
|
add %r15,%rax # g0 += (h0>>51)*19
|
||
|
|
|
||
|
|
mov %rdx,%r8
|
||
|
|
and %rbp,%rdx # g2 &= mask
|
||
|
|
shr \$51,%r8
|
||
|
|
add %r8,%rbx # g3 += g2>>51
|
||
|
|
|
||
|
|
mov %rax,%r9
|
||
|
|
and %rbp,%rax # g0 &= mask
|
||
|
|
shr \$51,%r9
|
||
|
|
add %r9,%rcx # g1 += g0>>51
|
||
|
|
|
||
|
|
mov %rax,8*0(%rdi) # save the result
|
||
|
|
mov %rcx,8*1(%rdi)
|
||
|
|
mov %rdx,8*2(%rdi)
|
||
|
|
mov %rbx,8*3(%rdi)
|
||
|
|
mov %r10,8*4(%rdi)
|
||
|
|
|
||
|
|
mov 8*5(%rsp),%r15
|
||
|
|
mov 8*6(%rsp),%r14
|
||
|
|
mov 8*7(%rsp),%r13
|
||
|
|
mov 8*8(%rsp),%r12
|
||
|
|
mov 8*9(%rsp),%rbx
|
||
|
|
mov 8*10(%rsp),%rbp
|
||
|
|
lea 8*11(%rsp),%rsp
|
||
|
|
ret
|
||
|
|
.size x25519_fe51_sqr,.-x25519_fe51_sqr
|
||
|
|
|
||
|
|
.globl x25519_fe51_mul121666
|
||
|
|
.type x25519_fe51_mul121666,\@function,2
|
||
|
|
.align 32
|
||
|
|
x25519_fe51_mul121666:
|
||
|
|
push %rbp
|
||
|
|
push %rbx
|
||
|
|
push %r12
|
||
|
|
push %r13
|
||
|
|
push %r14
|
||
|
|
push %r15
|
||
|
|
mov \$121666,%eax
|
||
|
|
lea -8*5(%rsp),%rsp
|
||
|
|
|
||
|
|
mulq 8*0(%rsi)
|
||
|
|
mov %rax,%rbx # %rbx:%rcx = h0
|
||
|
|
mov \$121666,%eax
|
||
|
|
mov %rdx,%rcx
|
||
|
|
mulq 8*1(%rsi)
|
||
|
|
mov %rax,%r8 # %r8:%r9 = h1
|
||
|
|
mov \$121666,%eax
|
||
|
|
mov %rdx,%r9
|
||
|
|
mulq 8*2(%rsi)
|
||
|
|
mov %rax,%r10 # %r10:%r11 = h2
|
||
|
|
mov \$121666,%eax
|
||
|
|
mov %rdx,%r11
|
||
|
|
mulq 8*3(%rsi)
|
||
|
|
mov %rax,%r12 # %r12:%r13 = h3
|
||
|
|
mov \$121666,%eax # f[0]
|
||
|
|
mov %rdx,%r13
|
||
|
|
mulq 8*4(%rsi)
|
||
|
|
mov %rax,%r14 # %r14:%r15 = h4
|
||
|
|
mov %rdx,%r15
|
||
|
|
|
||
|
|
jmp .Lreduce51
|
||
|
|
.size x25519_fe51_mul121666,.-x25519_fe51_mul121666
|
||
|
|
___
|
||
|
|
########################################################################
|
||
|
|
# Base 2^64 subroutines modulo 2*(2^255-19)
|
||
|
|
#
|
||
|
|
if ($addx) {
|
||
|
|
my ($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7) = map("%r$_",(8..15));
|
||
|
|
|
||
|
|
$code.=<<___;
|
||
|
|
.extern OPENSSL_ia32cap_P
|
||
|
|
.globl x25519_fe64_eligible
|
||
|
|
.type x25519_fe64_eligible,\@abi-omnipotent
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_eligible:
|
||
|
|
mov OPENSSL_ia32cap_P+8(%rip),%ecx
|
||
|
|
xor %eax,%eax
|
||
|
|
and \$0x80100,%ecx
|
||
|
|
cmp \$0x80100,%ecx
|
||
|
|
cmove %ecx,%eax
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_eligible,.-x25519_fe64_eligible
|
||
|
|
|
||
|
|
.globl x25519_fe64_mul
|
||
|
|
.type x25519_fe64_mul,\@function,3
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_mul:
|
||
|
|
push %rbp
|
||
|
|
push %rbx
|
||
|
|
push %r12
|
||
|
|
push %r13
|
||
|
|
push %r14
|
||
|
|
push %r15
|
||
|
|
push %rdi # offload dst
|
||
|
|
lea -8*2(%rsp),%rsp
|
||
|
|
|
||
|
|
mov %rdx,%rax
|
||
|
|
mov 8*0(%rdx),%rbp # b[0]
|
||
|
|
mov 8*0(%rsi),%rdx # a[0]
|
||
|
|
mov 8*1(%rax),%rcx # b[1]
|
||
|
|
mov 8*2(%rax),$acc6 # b[2]
|
||
|
|
mov 8*3(%rax),$acc7 # b[3]
|
||
|
|
|
||
|
|
mulx %rbp,$acc0,%rax # a[0]*b[0]
|
||
|
|
xor %edi,%edi # cf=0,of=0
|
||
|
|
mulx %rcx,$acc1,%rbx # a[0]*b[1]
|
||
|
|
adcx %rax,$acc1
|
||
|
|
mulx $acc6,$acc2,%rax # a[0]*b[2]
|
||
|
|
adcx %rbx,$acc2
|
||
|
|
mulx $acc7,$acc3,$acc4 # a[0]*b[3]
|
||
|
|
mov 8*1(%rsi),%rdx # a[1]
|
||
|
|
adcx %rax,$acc3
|
||
|
|
mov $acc6,(%rsp) # offload b[2]
|
||
|
|
adcx %rdi,$acc4 # cf=0
|
||
|
|
|
||
|
|
mulx %rbp,%rax,%rbx # a[1]*b[0]
|
||
|
|
adox %rax,$acc1
|
||
|
|
adcx %rbx,$acc2
|
||
|
|
mulx %rcx,%rax,%rbx # a[1]*b[1]
|
||
|
|
adox %rax,$acc2
|
||
|
|
adcx %rbx,$acc3
|
||
|
|
mulx $acc6,%rax,%rbx # a[1]*b[2]
|
||
|
|
adox %rax,$acc3
|
||
|
|
adcx %rbx,$acc4
|
||
|
|
mulx $acc7,%rax,$acc5 # a[1]*b[3]
|
||
|
|
mov 8*2(%rsi),%rdx # a[2]
|
||
|
|
adox %rax,$acc4
|
||
|
|
adcx %rdi,$acc5 # cf=0
|
||
|
|
adox %rdi,$acc5 # of=0
|
||
|
|
|
||
|
|
mulx %rbp,%rax,%rbx # a[2]*b[0]
|
||
|
|
adcx %rax,$acc2
|
||
|
|
adox %rbx,$acc3
|
||
|
|
mulx %rcx,%rax,%rbx # a[2]*b[1]
|
||
|
|
adcx %rax,$acc3
|
||
|
|
adox %rbx,$acc4
|
||
|
|
mulx $acc6,%rax,%rbx # a[2]*b[2]
|
||
|
|
adcx %rax,$acc4
|
||
|
|
adox %rbx,$acc5
|
||
|
|
mulx $acc7,%rax,$acc6 # a[2]*b[3]
|
||
|
|
mov 8*3(%rsi),%rdx # a[3]
|
||
|
|
adcx %rax,$acc5
|
||
|
|
adox %rdi,$acc6 # of=0
|
||
|
|
adcx %rdi,$acc6 # cf=0
|
||
|
|
|
||
|
|
mulx %rbp,%rax,%rbx # a[3]*b[0]
|
||
|
|
adox %rax,$acc3
|
||
|
|
adcx %rbx,$acc4
|
||
|
|
mulx %rcx,%rax,%rbx # a[3]*b[1]
|
||
|
|
adox %rax,$acc4
|
||
|
|
adcx %rbx,$acc5
|
||
|
|
mulx (%rsp),%rax,%rbx # a[3]*b[2]
|
||
|
|
adox %rax,$acc5
|
||
|
|
adcx %rbx,$acc6
|
||
|
|
mulx $acc7,%rax,$acc7 # a[3]*b[3]
|
||
|
|
mov \$38,%edx
|
||
|
|
adox %rax,$acc6
|
||
|
|
adcx %rdi,$acc7 # cf=0
|
||
|
|
adox %rdi,$acc7 # of=0
|
||
|
|
|
||
|
|
jmp .Lreduce64
|
||
|
|
.size x25519_fe64_mul,.-x25519_fe64_mul
|
||
|
|
|
||
|
|
.globl x25519_fe64_sqr
|
||
|
|
.type x25519_fe64_sqr,\@function,2
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_sqr:
|
||
|
|
push %rbp
|
||
|
|
push %rbx
|
||
|
|
push %r12
|
||
|
|
push %r13
|
||
|
|
push %r14
|
||
|
|
push %r15
|
||
|
|
push %rdi # offload dst
|
||
|
|
lea -8*2(%rsp),%rsp
|
||
|
|
|
||
|
|
mov 8*0(%rsi),%rdx # a[0]
|
||
|
|
mov 8*1(%rsi),%rcx # a[1]
|
||
|
|
mov 8*2(%rsi),%rbp # a[2]
|
||
|
|
mov 8*3(%rsi),%rsi # a[3]
|
||
|
|
|
||
|
|
################################################################
|
||
|
|
mulx %rdx,$acc0,$acc7 # a[0]*a[0]
|
||
|
|
mulx %rcx,$acc1,%rax # a[0]*a[1]
|
||
|
|
xor %edi,%edi # cf=0,of=0
|
||
|
|
mulx %rbp,$acc2,%rbx # a[0]*a[2]
|
||
|
|
adcx %rax,$acc2
|
||
|
|
mulx %rsi,$acc3,$acc4 # a[0]*a[3]
|
||
|
|
mov %rcx,%rdx # a[1]
|
||
|
|
adcx %rbx,$acc3
|
||
|
|
adcx %rdi,$acc4 # cf=0
|
||
|
|
|
||
|
|
################################################################
|
||
|
|
mulx %rbp,%rax,%rbx # a[1]*a[2]
|
||
|
|
adox %rax,$acc3
|
||
|
|
adcx %rbx,$acc4
|
||
|
|
mulx %rsi,%rax,$acc5 # a[1]*a[3]
|
||
|
|
mov %rbp,%rdx # a[2]
|
||
|
|
adox %rax,$acc4
|
||
|
|
adcx %rdi,$acc5
|
||
|
|
|
||
|
|
################################################################
|
||
|
|
mulx %rsi,%rax,$acc6 # a[2]*a[3]
|
||
|
|
mov %rcx,%rdx # a[1]
|
||
|
|
adox %rax,$acc5
|
||
|
|
adcx %rdi,$acc6 # cf=0
|
||
|
|
adox %rdi,$acc6 # of=0
|
||
|
|
|
||
|
|
adcx $acc1,$acc1 # acc1:6<<1
|
||
|
|
adox $acc7,$acc1
|
||
|
|
adcx $acc2,$acc2
|
||
|
|
mulx %rdx,%rax,%rbx # a[1]*a[1]
|
||
|
|
mov %rbp,%rdx # a[2]
|
||
|
|
adcx $acc3,$acc3
|
||
|
|
adox %rax,$acc2
|
||
|
|
adcx $acc4,$acc4
|
||
|
|
adox %rbx,$acc3
|
||
|
|
mulx %rdx,%rax,%rbx # a[2]*a[2]
|
||
|
|
mov %rsi,%rdx # a[3]
|
||
|
|
adcx $acc5,$acc5
|
||
|
|
adox %rax,$acc4
|
||
|
|
adcx $acc6,$acc6
|
||
|
|
adox %rbx,$acc5
|
||
|
|
mulx %rdx,%rax,$acc7 # a[3]*a[3]
|
||
|
|
mov \$38,%edx
|
||
|
|
adox %rax,$acc6
|
||
|
|
adcx %rdi,$acc7 # cf=0
|
||
|
|
adox %rdi,$acc7 # of=0
|
||
|
|
jmp .Lreduce64
|
||
|
|
|
||
|
|
.align 32
|
||
|
|
.Lreduce64:
|
||
|
|
mulx $acc4,%rax,%rbx
|
||
|
|
adcx %rax,$acc0
|
||
|
|
adox %rbx,$acc1
|
||
|
|
mulx $acc5,%rax,%rbx
|
||
|
|
adcx %rax,$acc1
|
||
|
|
adox %rbx,$acc2
|
||
|
|
mulx $acc6,%rax,%rbx
|
||
|
|
adcx %rax,$acc2
|
||
|
|
adox %rbx,$acc3
|
||
|
|
mulx $acc7,%rax,$acc4
|
||
|
|
adcx %rax,$acc3
|
||
|
|
adox %rdi,$acc4
|
||
|
|
adcx %rdi,$acc4
|
||
|
|
|
||
|
|
mov 8*2(%rsp),%rdi # restore dst
|
||
|
|
imulq %rdx,$acc4
|
||
|
|
|
||
|
|
add $acc4,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
adc \$0,$acc2
|
||
|
|
adc \$0,$acc3
|
||
|
|
|
||
|
|
sbb %rax,%rax # cf -> mask
|
||
|
|
and \$38,%rax
|
||
|
|
|
||
|
|
add %rax,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
mov $acc0,8*0(%rdi)
|
||
|
|
adc \$0,$acc2
|
||
|
|
mov $acc1,8*1(%rdi)
|
||
|
|
adc \$0,$acc3
|
||
|
|
mov $acc2,8*2(%rdi)
|
||
|
|
mov $acc3,8*3(%rdi)
|
||
|
|
|
||
|
|
mov 8*3(%rsp),%r15
|
||
|
|
mov 8*4(%rsp),%r14
|
||
|
|
mov 8*5(%rsp),%r13
|
||
|
|
mov 8*6(%rsp),%r12
|
||
|
|
mov 8*7(%rsp),%rbx
|
||
|
|
mov 8*8(%rsp),%rbp
|
||
|
|
lea 8*9(%rsp),%rsp
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_sqr,.-x25519_fe64_sqr
|
||
|
|
|
||
|
|
.globl x25519_fe64_mul121666
|
||
|
|
.type x25519_fe64_mul121666,\@function,2
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_mul121666:
|
||
|
|
mov \$121666,%edx
|
||
|
|
mulx 8*0(%rsi),$acc0,%rcx
|
||
|
|
mulx 8*1(%rsi),$acc1,%rax
|
||
|
|
add %rcx,$acc1
|
||
|
|
mulx 8*2(%rsi),$acc2,%rcx
|
||
|
|
adc %rax,$acc2
|
||
|
|
mulx 8*3(%rsi),$acc3,%rax
|
||
|
|
adc %rcx,$acc3
|
||
|
|
adc \$0,%rax
|
||
|
|
|
||
|
|
imulq \$38,%rax,%rax
|
||
|
|
|
||
|
|
add %rax,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
adc \$0,$acc2
|
||
|
|
adc \$0,$acc3
|
||
|
|
|
||
|
|
sbb %rax,%rax # cf -> mask
|
||
|
|
and \$38,%rax
|
||
|
|
|
||
|
|
add %rax,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
mov $acc0,8*0(%rdi)
|
||
|
|
adc \$0,$acc2
|
||
|
|
mov $acc1,8*1(%rdi)
|
||
|
|
adc \$0,$acc3
|
||
|
|
mov $acc2,8*2(%rdi)
|
||
|
|
mov $acc3,8*3(%rdi)
|
||
|
|
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_mul121666,.-x25519_fe64_mul121666
|
||
|
|
|
||
|
|
.globl x25519_fe64_add
|
||
|
|
.type x25519_fe64_add,\@function,3
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_add:
|
||
|
|
mov 8*0(%rsi),$acc0
|
||
|
|
mov 8*1(%rsi),$acc1
|
||
|
|
mov 8*2(%rsi),$acc2
|
||
|
|
mov 8*3(%rsi),$acc3
|
||
|
|
|
||
|
|
add 8*0(%rdx),$acc0
|
||
|
|
adc 8*1(%rdx),$acc1
|
||
|
|
adc 8*2(%rdx),$acc2
|
||
|
|
adc 8*3(%rdx),$acc3
|
||
|
|
|
||
|
|
sbb %rax,%rax # cf -> mask
|
||
|
|
and \$38,%rax
|
||
|
|
|
||
|
|
add %rax,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
mov $acc0,8*0(%rdi)
|
||
|
|
adc \$0,$acc2
|
||
|
|
mov $acc1,8*1(%rdi)
|
||
|
|
adc \$0,$acc3
|
||
|
|
mov $acc2,8*2(%rdi)
|
||
|
|
mov $acc3,8*3(%rdi)
|
||
|
|
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_add,.-x25519_fe64_add
|
||
|
|
|
||
|
|
.globl x25519_fe64_sub
|
||
|
|
.type x25519_fe64_sub,\@function,3
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_sub:
|
||
|
|
mov 8*0(%rsi),$acc0
|
||
|
|
mov 8*1(%rsi),$acc1
|
||
|
|
mov 8*2(%rsi),$acc2
|
||
|
|
mov 8*3(%rsi),$acc3
|
||
|
|
|
||
|
|
sub 8*0(%rdx),$acc0
|
||
|
|
sbb 8*1(%rdx),$acc1
|
||
|
|
sbb 8*2(%rdx),$acc2
|
||
|
|
sbb 8*3(%rdx),$acc3
|
||
|
|
|
||
|
|
sbb %rax,%rax # cf -> mask
|
||
|
|
and \$38,%rax
|
||
|
|
|
||
|
|
sub %rax,$acc0
|
||
|
|
sbb \$0,$acc1
|
||
|
|
mov $acc0,8*0(%rdi)
|
||
|
|
sbb \$0,$acc2
|
||
|
|
mov $acc1,8*1(%rdi)
|
||
|
|
sbb \$0,$acc3
|
||
|
|
mov $acc2,8*2(%rdi)
|
||
|
|
mov $acc3,8*3(%rdi)
|
||
|
|
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_sub,.-x25519_fe64_sub
|
||
|
|
|
||
|
|
.globl x25519_fe64_tobytes
|
||
|
|
.type x25519_fe64_tobytes,\@function,2
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_tobytes:
|
||
|
|
mov 8*0(%rsi),$acc0
|
||
|
|
mov 8*1(%rsi),$acc1
|
||
|
|
mov 8*2(%rsi),$acc2
|
||
|
|
mov 8*3(%rsi),$acc3
|
||
|
|
|
||
|
|
################################# reduction modulo 2^255-19
|
||
|
|
lea ($acc3,$acc3),%rax
|
||
|
|
sar \$63,$acc3 # most significant bit -> mask
|
||
|
|
shr \$1,%rax # most significant bit cleared
|
||
|
|
and \$19,$acc3
|
||
|
|
|
||
|
|
add $acc3,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
adc \$0,$acc2
|
||
|
|
adc \$0,%rax
|
||
|
|
|
||
|
|
lea (%rax,%rax),$acc3
|
||
|
|
sar \$63,%rax # most significant bit -> mask
|
||
|
|
shr \$1,$acc3 # most significant bit cleared
|
||
|
|
and \$19,%rax
|
||
|
|
|
||
|
|
add %rax,$acc0
|
||
|
|
adc \$0,$acc1
|
||
|
|
adc \$0,$acc2
|
||
|
|
adc \$0,$acc3
|
||
|
|
|
||
|
|
mov $acc0,8*0(%rdi)
|
||
|
|
mov $acc1,8*1(%rdi)
|
||
|
|
mov $acc2,8*2(%rdi)
|
||
|
|
mov $acc3,8*3(%rdi)
|
||
|
|
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_tobytes,.-x25519_fe64_tobytes
|
||
|
|
___
|
||
|
|
} else {
|
||
|
|
$code.=<<___;
|
||
|
|
.globl x25519_fe64_eligible
|
||
|
|
.type x25519_fe64_eligible,\@function
|
||
|
|
.align 32
|
||
|
|
x25519_fe64_eligible:
|
||
|
|
xor %eax,%eax
|
||
|
|
ret
|
||
|
|
.size x25519_fe64_eligible,.-x25519_fe64_eligible
|
||
|
|
|
||
|
|
.globl x25519_fe64_mul
|
||
|
|
.globl x25519_fe64_sqr
|
||
|
|
.globl x25519_fe64_mul121666
|
||
|
|
.globl x25519_fe64_add
|
||
|
|
.globl x25519_fe64_sub
|
||
|
|
.globl x25519_fe64_tobytes
|
||
|
|
x25519_fe64_mul:
|
||
|
|
x25519_fe64_sqr:
|
||
|
|
x25519_fe64_mul121666:
|
||
|
|
x25519_fe64_add:
|
||
|
|
x25519_fe64_sub:
|
||
|
|
x25519_fe64_sub:
|
||
|
|
x25519_fe64_tobytes:
|
||
|
|
.byte 0x0f,0x0b # ud2
|
||
|
|
___
|
||
|
|
}
|
||
|
|
$code.=<<___;
|
||
|
|
.asciz "X25519 primitives for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
|
||
|
|
___
|
||
|
|
|
||
|
|
$code =~ s/\`([^\`]*)\`/eval $1/gem;
|
||
|
|
print $code;
|
||
|
|
close $STDOUT;
|