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Diffstat (limited to 'deps/openssl/openssl/crypto/ec/asm/x25519-x86_64.pl')
-rwxr-xr-xdeps/openssl/openssl/crypto/ec/asm/x25519-x86_64.pl1117
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diff --git a/deps/openssl/openssl/crypto/ec/asm/x25519-x86_64.pl b/deps/openssl/openssl/crypto/ec/asm/x25519-x86_64.pl
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index 0000000000..18dc6af9fa
--- /dev/null
+++ b/deps/openssl/openssl/crypto/ec/asm/x25519-x86_64.pl
@@ -0,0 +1,1117 @@
+#!/usr/bin/env perl
+# Copyright 2018 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the OpenSSL license (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+#
+# ====================================================================
+# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+#
+# X25519 lower-level primitives for x86_64.
+#
+# February 2018.
+#
+# This module implements radix 2^51 multiplication and squaring, and
+# radix 2^64 multiplication, squaring, addition, subtraction and final
+# reduction. Latter radix is used on ADCX/ADOX-capable processors such
+# as Broadwell. On related note one should mention that there are
+# vector implementations that provide significantly better performance
+# on some processors(*), but they are large and overly complex. Which
+# in combination with them being effectively processor-specific makes
+# the undertaking hard to justify. The goal for this implementation
+# is rather versatility and simplicity [and ultimately formal
+# verification].
+#
+# (*) For example sandy2x should provide ~30% improvement on Sandy
+# Bridge, but only nominal ~5% on Haswell [and big loss on
+# Broadwell and successors].
+#
+######################################################################
+# Improvement coefficients:
+#
+# amd64-51(*) gcc-5.x(**)
+#
+# P4 +22% +40%
+# Sandy Bridge -3% +11%
+# Haswell -1% +13%
+# Broadwell(***) +30% +35%
+# Skylake(***) +33% +47%
+# Silvermont +20% +26%
+# Goldmont +40% +50%
+# Bulldozer +20% +9%
+# Ryzen(***) +43% +40%
+# VIA +170% +120%
+#
+# (*) amd64-51 is popular assembly implementation with 2^51 radix,
+# only multiplication and squaring subroutines were linked
+# for comparison, but not complete ladder step; gain on most
+# processors is because this module refrains from shld, and
+# minor regression on others is because this does result in
+# higher instruction count;
+# (**) compiler is free to inline functions, in assembly one would
+# need to implement ladder step to do that, and it will improve
+# performance by several percent;
+# (***) ADCX/ADOX result for 2^64 radix, there is no corresponding
+# C implementation, so that comparison is always against
+# 2^51 radix;
+
+$flavour = shift;
+$output = shift;
+if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
+
+$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
+die "can't locate x86_64-xlate.pl";
+
+open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"";
+*STDOUT=*OUT;
+
+if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
+ =~ /GNU assembler version ([2-9]\.[0-9]+)/) {
+ $addx = ($1>=2.23);
+}
+
+if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
+ `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
+ $addx = ($1>=2.10);
+}
+
+if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
+ `ml64 2>&1` =~ /Version ([0-9]+)\./) {
+ $addx = ($1>=12);
+}
+
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+ my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
+ $addx = ($ver>=3.03);
+}
+
+$code.=<<___;
+.text
+
+.globl x25519_fe51_mul
+.type x25519_fe51_mul,\@function,3
+.align 32
+x25519_fe51_mul:
+.cfi_startproc
+ push %rbp
+.cfi_push %rbp
+ push %rbx
+.cfi_push %rbx
+ push %r12
+.cfi_push %r12
+ push %r13
+.cfi_push %r13
+ push %r14
+.cfi_push %r14
+ push %r15
+.cfi_push %r15
+ lea -8*5(%rsp),%rsp
+.cfi_adjust_cfa_offset 40
+.Lfe51_mul_body:
+
+ mov 8*0(%rsi),%rax # f[0]
+ mov 8*0(%rdx),%r11 # load g[0-4]
+ mov 8*1(%rdx),%r12
+ mov 8*2(%rdx),%r13
+ mov 8*3(%rdx),%rbp
+ mov 8*4(%rdx),%r14
+
+ mov %rdi,8*4(%rsp) # offload 1st argument
+ mov %rax,%rdi
+ mulq %r11 # f[0]*g[0]
+ mov %r11,8*0(%rsp) # offload g[0]
+ mov %rax,%rbx # %rbx:%rcx = h0
+ mov %rdi,%rax
+ mov %rdx,%rcx
+ mulq %r12 # f[0]*g[1]
+ mov %r12,8*1(%rsp) # offload g[1]
+ mov %rax,%r8 # %r8:%r9 = h1
+ mov %rdi,%rax
+ lea (%r14,%r14,8),%r15
+ mov %rdx,%r9
+ mulq %r13 # f[0]*g[2]
+ mov %r13,8*2(%rsp) # offload g[2]
+ mov %rax,%r10 # %r10:%r11 = h2
+ mov %rdi,%rax
+ lea (%r14,%r15,2),%rdi # g[4]*19
+ mov %rdx,%r11
+ mulq %rbp # f[0]*g[3]
+ mov %rax,%r12 # %r12:%r13 = h3
+ mov 8*0(%rsi),%rax # f[0]
+ mov %rdx,%r13
+ mulq %r14 # f[0]*g[4]
+ mov %rax,%r14 # %r14:%r15 = h4
+ mov 8*1(%rsi),%rax # f[1]
+ mov %rdx,%r15
+
+ mulq %rdi # f[1]*g[4]*19
+ add %rax,%rbx
+ mov 8*2(%rsi),%rax # f[2]
+ adc %rdx,%rcx
+ mulq %rdi # f[2]*g[4]*19
+ add %rax,%r8
+ mov 8*3(%rsi),%rax # f[3]
+ adc %rdx,%r9
+ mulq %rdi # f[3]*g[4]*19
+ add %rax,%r10
+ mov 8*4(%rsi),%rax # f[4]
+ adc %rdx,%r11
+ mulq %rdi # f[4]*g[4]*19
+ imulq \$19,%rbp,%rdi # g[3]*19
+ add %rax,%r12
+ mov 8*1(%rsi),%rax # f[1]
+ adc %rdx,%r13
+ mulq %rbp # f[1]*g[3]
+ mov 8*2(%rsp),%rbp # g[2]
+ add %rax,%r14
+ mov 8*2(%rsi),%rax # f[2]
+ adc %rdx,%r15
+
+ mulq %rdi # f[2]*g[3]*19
+ add %rax,%rbx
+ mov 8*3(%rsi),%rax # f[3]
+ adc %rdx,%rcx
+ mulq %rdi # f[3]*g[3]*19
+ add %rax,%r8
+ mov 8*4(%rsi),%rax # f[4]
+ adc %rdx,%r9
+ mulq %rdi # f[4]*g[3]*19
+ imulq \$19,%rbp,%rdi # g[2]*19
+ add %rax,%r10
+ mov 8*1(%rsi),%rax # f[1]
+ adc %rdx,%r11
+ mulq %rbp # f[1]*g[2]
+ add %rax,%r12
+ mov 8*2(%rsi),%rax # f[2]
+ adc %rdx,%r13
+ mulq %rbp # f[2]*g[2]
+ mov 8*1(%rsp),%rbp # g[1]
+ add %rax,%r14
+ mov 8*3(%rsi),%rax # f[3]
+ adc %rdx,%r15
+
+ mulq %rdi # f[3]*g[2]*19
+ add %rax,%rbx
+ mov 8*4(%rsi),%rax # f[3]
+ adc %rdx,%rcx
+ mulq %rdi # f[4]*g[2]*19
+ add %rax,%r8
+ mov 8*1(%rsi),%rax # f[1]
+ adc %rdx,%r9
+ mulq %rbp # f[1]*g[1]
+ imulq \$19,%rbp,%rdi
+ add %rax,%r10
+ mov 8*2(%rsi),%rax # f[2]
+ adc %rdx,%r11
+ mulq %rbp # f[2]*g[1]
+ add %rax,%r12
+ mov 8*3(%rsi),%rax # f[3]
+ adc %rdx,%r13
+ mulq %rbp # f[3]*g[1]
+ mov 8*0(%rsp),%rbp # g[0]
+ add %rax,%r14
+ mov 8*4(%rsi),%rax # f[4]
+ adc %rdx,%r15
+
+ mulq %rdi # f[4]*g[1]*19
+ add %rax,%rbx
+ mov 8*1(%rsi),%rax # f[1]
+ adc %rdx,%rcx
+ mul %rbp # f[1]*g[0]
+ add %rax,%r8
+ mov 8*2(%rsi),%rax # f[2]
+ adc %rdx,%r9
+ mul %rbp # f[2]*g[0]
+ add %rax,%r10
+ mov 8*3(%rsi),%rax # f[3]
+ adc %rdx,%r11
+ mul %rbp # f[3]*g[0]
+ add %rax,%r12
+ mov 8*4(%rsi),%rax # f[4]
+ adc %rdx,%r13
+ mulq %rbp # f[4]*g[0]
+ add %rax,%r14
+ adc %rdx,%r15
+
+ mov 8*4(%rsp),%rdi # restore 1st argument
+ jmp .Lreduce51
+.Lfe51_mul_epilogue:
+.cfi_endproc
+.size x25519_fe51_mul,.-x25519_fe51_mul
+
+.globl x25519_fe51_sqr
+.type x25519_fe51_sqr,\@function,2
+.align 32
+x25519_fe51_sqr:
+.cfi_startproc
+ push %rbp
+.cfi_push %rbp
+ push %rbx
+.cfi_push %rbx
+ push %r12
+.cfi_push %r12
+ push %r13
+.cfi_push %r13
+ push %r14
+.cfi_push %r14
+ push %r15
+.cfi_push %r15
+ lea -8*5(%rsp),%rsp
+.cfi_adjust_cfa_offset 40
+.Lfe51_sqr_body:
+
+ mov 8*0(%rsi),%rax # g[0]
+ mov 8*2(%rsi),%r15 # g[2]
+ mov 8*4(%rsi),%rbp # g[4]
+
+ mov %rdi,8*4(%rsp) # offload 1st argument
+ lea (%rax,%rax),%r14
+ mulq %rax # g[0]*g[0]
+ mov %rax,%rbx
+ mov 8*1(%rsi),%rax # g[1]
+ mov %rdx,%rcx
+ mulq %r14 # 2*g[0]*g[1]
+ mov %rax,%r8
+ mov %r15,%rax
+ mov %r15,8*0(%rsp) # offload g[2]
+ mov %rdx,%r9
+ mulq %r14 # 2*g[0]*g[2]
+ mov %rax,%r10
+ mov 8*3(%rsi),%rax
+ mov %rdx,%r11
+ imulq \$19,%rbp,%rdi # g[4]*19
+ mulq %r14 # 2*g[0]*g[3]
+ mov %rax,%r12
+ mov %rbp,%rax
+ mov %rdx,%r13
+ mulq %r14 # 2*g[0]*g[4]
+ mov %rax,%r14
+ mov %rbp,%rax
+ mov %rdx,%r15
+
+ mulq %rdi # g[4]*g[4]*19
+ add %rax,%r12
+ mov 8*1(%rsi),%rax # g[1]
+ adc %rdx,%r13
+
+ mov 8*3(%rsi),%rsi # g[3]
+ lea (%rax,%rax),%rbp
+ mulq %rax # g[1]*g[1]
+ add %rax,%r10
+ mov 8*0(%rsp),%rax # g[2]
+ adc %rdx,%r11
+ mulq %rbp # 2*g[1]*g[2]
+ add %rax,%r12
+ mov %rbp,%rax
+ adc %rdx,%r13
+ mulq %rsi # 2*g[1]*g[3]
+ add %rax,%r14
+ mov %rbp,%rax
+ adc %rdx,%r15
+ imulq \$19,%rsi,%rbp # g[3]*19
+ mulq %rdi # 2*g[1]*g[4]*19
+ add %rax,%rbx
+ lea (%rsi,%rsi),%rax
+ adc %rdx,%rcx
+
+ mulq %rdi # 2*g[3]*g[4]*19
+ add %rax,%r10
+ mov %rsi,%rax
+ adc %rdx,%r11
+ mulq %rbp # g[3]*g[3]*19
+ add %rax,%r8
+ mov 8*0(%rsp),%rax # g[2]
+ adc %rdx,%r9
+
+ lea (%rax,%rax),%rsi
+ mulq %rax # g[2]*g[2]
+ add %rax,%r14
+ mov %rbp,%rax
+ adc %rdx,%r15
+ mulq %rsi # 2*g[2]*g[3]*19
+ add %rax,%rbx
+ mov %rsi,%rax
+ adc %rdx,%rcx
+ mulq %rdi # 2*g[2]*g[4]*19
+ add %rax,%r8
+ adc %rdx,%r9
+
+ mov 8*4(%rsp),%rdi # restore 1st argument
+ jmp .Lreduce51
+
+.align 32
+.Lreduce51:
+ mov \$0x7ffffffffffff,%rbp
+
+ mov %r10,%rdx
+ shr \$51,%r10
+ shl \$13,%r11
+ and %rbp,%rdx # %rdx = g2 = h2 & mask
+ 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
+.cfi_restore %r15
+ mov 8*6(%rsp),%r14
+.cfi_restore %r14
+ mov 8*7(%rsp),%r13
+.cfi_restore %r13
+ mov 8*8(%rsp),%r12
+.cfi_restore %r12
+ mov 8*9(%rsp),%rbx
+.cfi_restore %rbx
+ mov 8*10(%rsp),%rbp
+.cfi_restore %rbp
+ lea 8*11(%rsp),%rsp
+.cfi_adjust_cfa_offset 88
+.Lfe51_sqr_epilogue:
+ ret
+.cfi_endproc
+.size x25519_fe51_sqr,.-x25519_fe51_sqr
+
+.globl x25519_fe51_mul121666
+.type x25519_fe51_mul121666,\@function,2
+.align 32
+x25519_fe51_mul121666:
+.cfi_startproc
+ push %rbp
+.cfi_push %rbp
+ push %rbx
+.cfi_push %rbx
+ push %r12
+.cfi_push %r12
+ push %r13
+.cfi_push %r13
+ push %r14
+.cfi_push %r14
+ push %r15
+.cfi_push %r15
+ lea -8*5(%rsp),%rsp
+.cfi_adjust_cfa_offset 40
+.Lfe51_mul121666_body:
+ mov \$121666,%eax
+
+ 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
+.Lfe51_mul121666_epilogue:
+.cfi_endproc
+.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:
+.cfi_startproc
+ push %rbp
+.cfi_push %rbp
+ push %rbx
+.cfi_push %rbx
+ push %r12
+.cfi_push %r12
+ push %r13
+.cfi_push %r13
+ push %r14
+.cfi_push %r14
+ push %r15
+.cfi_push %r15
+ push %rdi # offload dst
+.cfi_push %rdi
+ lea -8*2(%rsp),%rsp
+.cfi_adjust_cfa_offset 16
+.Lfe64_mul_body:
+
+ 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,$acc7 # of=0
+
+ jmp .Lreduce64
+.Lfe64_mul_epilogue:
+.cfi_endproc
+.size x25519_fe64_mul,.-x25519_fe64_mul
+
+.globl x25519_fe64_sqr
+.type x25519_fe64_sqr,\@function,2
+.align 32
+x25519_fe64_sqr:
+.cfi_startproc
+ push %rbp
+.cfi_push %rbp
+ push %rbx
+.cfi_push %rbx
+ push %r12
+.cfi_push %r12
+ push %r13
+.cfi_push %r13
+ push %r14
+.cfi_push %r14
+ push %r15
+.cfi_push %r15
+ push %rdi # offload dst
+.cfi_push %rdi
+ lea -8*2(%rsp),%rsp
+.cfi_adjust_cfa_offset 16
+.Lfe64_sqr_body:
+
+ mov 8*0(%rsi),%rdx # a[0]
+ mov 8*1(%rsi),%rcx # a[1]
+ mov 8*2(%rsi),%rbp # a[2]
+ mov 8*3(%rsi),%rsi # a[3]
+
+ ################################################################
+ mulx %rdx,$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
+ mov $acc1,8*1(%rdi)
+ mov $acc2,8*2(%rdi)
+ mov $acc3,8*3(%rdi)
+ mov $acc0,8*0(%rdi)
+
+ mov 8*3(%rsp),%r15
+.cfi_restore %r15
+ mov 8*4(%rsp),%r14
+.cfi_restore %r14
+ mov 8*5(%rsp),%r13
+.cfi_restore %r13
+ mov 8*6(%rsp),%r12
+.cfi_restore %r12
+ mov 8*7(%rsp),%rbx
+.cfi_restore %rbx
+ mov 8*8(%rsp),%rbp
+.cfi_restore %rbp
+ lea 8*9(%rsp),%rsp
+.cfi_adjust_cfa_offset 88
+.Lfe64_sqr_epilogue:
+ ret
+.cfi_endproc
+.size x25519_fe64_sqr,.-x25519_fe64_sqr
+
+.globl x25519_fe64_mul121666
+.type x25519_fe64_mul121666,\@function,2
+.align 32
+x25519_fe64_mul121666:
+.Lfe64_mul121666_body:
+ mov \$121666,%edx
+ mulx 8*0(%rsi),$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
+ mov $acc1,8*1(%rdi)
+ mov $acc2,8*2(%rdi)
+ mov $acc3,8*3(%rdi)
+ mov $acc0,8*0(%rdi)
+
+.Lfe64_mul121666_epilogue:
+ ret
+.size x25519_fe64_mul121666,.-x25519_fe64_mul121666
+
+.globl x25519_fe64_add
+.type x25519_fe64_add,\@function,3
+.align 32
+x25519_fe64_add:
+.Lfe64_add_body:
+ mov 8*0(%rsi),$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,$acc1
+ adc \$0,$acc2
+ mov $acc1,8*1(%rdi)
+ adc \$0,$acc3
+ mov $acc2,8*2(%rdi)
+ sbb %rax,%rax # cf -> mask
+ mov $acc3,8*3(%rdi)
+ and \$38,%rax
+
+ add %rax,$acc0
+ mov $acc0,8*0(%rdi)
+
+.Lfe64_add_epilogue:
+ ret
+.size x25519_fe64_add,.-x25519_fe64_add
+
+.globl x25519_fe64_sub
+.type x25519_fe64_sub,\@function,3
+.align 32
+x25519_fe64_sub:
+.Lfe64_sub_body:
+ mov 8*0(%rsi),$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,$acc1
+ sbb \$0,$acc2
+ mov $acc1,8*1(%rdi)
+ sbb \$0,$acc3
+ mov $acc2,8*2(%rdi)
+ sbb %rax,%rax # cf -> mask
+ mov $acc3,8*3(%rdi)
+ and \$38,%rax
+
+ sub %rax,$acc0
+ mov $acc0,8*0(%rdi)
+
+.Lfe64_sub_epilogue:
+ ret
+.size x25519_fe64_sub,.-x25519_fe64_sub
+
+.globl x25519_fe64_tobytes
+.type x25519_fe64_tobytes,\@function,2
+.align 32
+x25519_fe64_tobytes:
+.Lfe64_to_body:
+ mov 8*0(%rsi),$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,$acc3
+ add \$19,$acc3 # compare to modulus in the same go
+
+ 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
+ not %rax
+ and \$19,%rax
+
+ sub %rax,$acc0
+ sbb \$0,$acc1
+ sbb \$0,$acc2
+ sbb \$0,$acc3
+
+ mov $acc0,8*0(%rdi)
+ mov $acc1,8*1(%rdi)
+ mov $acc2,8*2(%rdi)
+ mov $acc3,8*3(%rdi)
+
+.Lfe64_to_epilogue:
+ ret
+.size x25519_fe64_tobytes,.-x25519_fe64_tobytes
+___
+} else {
+$code.=<<___;
+.globl x25519_fe64_eligible
+.type x25519_fe64_eligible,\@abi-omnipotent
+.align 32
+x25519_fe64_eligible:
+ xor %eax,%eax
+ ret
+.size x25519_fe64_eligible,.-x25519_fe64_eligible
+
+.globl x25519_fe64_mul
+.type x25519_fe64_mul,\@abi-omnipotent
+.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_tobytes:
+ .byte 0x0f,0x0b # ud2
+ ret
+.size x25519_fe64_mul,.-x25519_fe64_mul
+___
+}
+$code.=<<___;
+.asciz "X25519 primitives for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
+# CONTEXT *context,DISPATCHER_CONTEXT *disp)
+if ($win64) {
+$rec="%rcx";
+$frame="%rdx";
+$context="%r8";
+$disp="%r9";
+
+$code.=<<___;
+.extern __imp_RtlVirtualUnwind
+
+.type short_handler,\@abi-omnipotent
+.align 16
+short_handler:
+ push %rsi
+ push %rdi
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+ pushfq
+ sub \$64,%rsp
+
+ mov 120($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
+ jmp .Lcommon_seh_tail
+.size short_handler,.-short_handler
+
+.type full_handler,\@abi-omnipotent
+.align 16
+full_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($context),%rax # pull context->Rsp
+
+ mov 4(%r11),%r10d # HandlerData[1]
+ lea (%rsi,%r10),%r10 # epilogue label
+ cmp %r10,%rbx # context->Rip>=epilogue label
+ jae .Lcommon_seh_tail
+
+ mov 8(%r11),%r10d # HandlerData[2]
+ lea (%rax,%r10),%rax
+
+ mov -8(%rax),%rbp
+ mov -16(%rax),%rbx
+ mov -24(%rax),%r12
+ mov -32(%rax),%r13
+ mov -40(%rax),%r14
+ mov -48(%rax),%r15
+ mov %rbx,144($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 $disp,%rsi
+ xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
+ mov 8(%rsi),%rdx # arg2, disp->ImageBase
+ mov 0(%rsi),%r8 # arg3, disp->ControlPc
+ mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
+ mov 40(%rsi),%r10 # disp->ContextRecord
+ lea 56(%rsi),%r11 # &disp->HandlerData
+ lea 24(%rsi),%r12 # &disp->EstablisherFrame
+ mov %r10,32(%rsp) # arg5
+ mov %r11,40(%rsp) # arg6
+ mov %r12,48(%rsp) # arg7
+ mov %rcx,56(%rsp) # arg8, (NULL)
+ call *__imp_RtlVirtualUnwind(%rip)
+
+ mov \$1,%eax # ExceptionContinueSearch
+ add \$64,%rsp
+ popfq
+ pop %r15
+ pop %r14
+ pop %r13
+ pop %r12
+ pop %rbp
+ pop %rbx
+ pop %rdi
+ pop %rsi
+ ret
+.size full_handler,.-full_handler
+
+.section .pdata
+.align 4
+ .rva .LSEH_begin_x25519_fe51_mul
+ .rva .LSEH_end_x25519_fe51_mul
+ .rva .LSEH_info_x25519_fe51_mul
+
+ .rva .LSEH_begin_x25519_fe51_sqr
+ .rva .LSEH_end_x25519_fe51_sqr
+ .rva .LSEH_info_x25519_fe51_sqr
+
+ .rva .LSEH_begin_x25519_fe51_mul121666
+ .rva .LSEH_end_x25519_fe51_mul121666
+ .rva .LSEH_info_x25519_fe51_mul121666
+___
+$code.=<<___ if ($addx);
+ .rva .LSEH_begin_x25519_fe64_mul
+ .rva .LSEH_end_x25519_fe64_mul
+ .rva .LSEH_info_x25519_fe64_mul
+
+ .rva .LSEH_begin_x25519_fe64_sqr
+ .rva .LSEH_end_x25519_fe64_sqr
+ .rva .LSEH_info_x25519_fe64_sqr
+
+ .rva .LSEH_begin_x25519_fe64_mul121666
+ .rva .LSEH_end_x25519_fe64_mul121666
+ .rva .LSEH_info_x25519_fe64_mul121666
+
+ .rva .LSEH_begin_x25519_fe64_add
+ .rva .LSEH_end_x25519_fe64_add
+ .rva .LSEH_info_x25519_fe64_add
+
+ .rva .LSEH_begin_x25519_fe64_sub
+ .rva .LSEH_end_x25519_fe64_sub
+ .rva .LSEH_info_x25519_fe64_sub
+
+ .rva .LSEH_begin_x25519_fe64_tobytes
+ .rva .LSEH_end_x25519_fe64_tobytes
+ .rva .LSEH_info_x25519_fe64_tobytes
+___
+$code.=<<___;
+.section .xdata
+.align 8
+.LSEH_info_x25519_fe51_mul:
+ .byte 9,0,0,0
+ .rva full_handler
+ .rva .Lfe51_mul_body,.Lfe51_mul_epilogue # HandlerData[]
+ .long 88,0
+.LSEH_info_x25519_fe51_sqr:
+ .byte 9,0,0,0
+ .rva full_handler
+ .rva .Lfe51_sqr_body,.Lfe51_sqr_epilogue # HandlerData[]
+ .long 88,0
+.LSEH_info_x25519_fe51_mul121666:
+ .byte 9,0,0,0
+ .rva full_handler
+ .rva .Lfe51_mul121666_body,.Lfe51_mul121666_epilogue # HandlerData[]
+ .long 88,0
+___
+$code.=<<___ if ($addx);
+.LSEH_info_x25519_fe64_mul:
+ .byte 9,0,0,0
+ .rva full_handler
+ .rva .Lfe64_mul_body,.Lfe64_mul_epilogue # HandlerData[]
+ .long 72,0
+.LSEH_info_x25519_fe64_sqr:
+ .byte 9,0,0,0
+ .rva full_handler
+ .rva .Lfe64_sqr_body,.Lfe64_sqr_epilogue # HandlerData[]
+ .long 72,0
+.LSEH_info_x25519_fe64_mul121666:
+ .byte 9,0,0,0
+ .rva short_handler
+ .rva .Lfe64_mul121666_body,.Lfe64_mul121666_epilogue # HandlerData[]
+.LSEH_info_x25519_fe64_add:
+ .byte 9,0,0,0
+ .rva short_handler
+ .rva .Lfe64_add_body,.Lfe64_add_epilogue # HandlerData[]
+.LSEH_info_x25519_fe64_sub:
+ .byte 9,0,0,0
+ .rva short_handler
+ .rva .Lfe64_sub_body,.Lfe64_sub_epilogue # HandlerData[]
+.LSEH_info_x25519_fe64_tobytes:
+ .byte 9,0,0,0
+ .rva short_handler
+ .rva .Lfe64_to_body,.Lfe64_to_epilogue # HandlerData[]
+___
+}
+
+$code =~ s/\`([^\`]*)\`/eval $1/gem;
+print $code;
+close STDOUT;