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-rwxr-xr-xopenssl/crypto/bn/asm/rsaz-x86_64.pl2144
1 files changed, 2144 insertions, 0 deletions
diff --git a/openssl/crypto/bn/asm/rsaz-x86_64.pl b/openssl/crypto/bn/asm/rsaz-x86_64.pl
new file mode 100755
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--- /dev/null
+++ b/openssl/crypto/bn/asm/rsaz-x86_64.pl
@@ -0,0 +1,2144 @@
+#!/usr/bin/env perl
+
+##############################################################################
+# #
+# Copyright (c) 2012, Intel Corporation #
+# #
+# All rights reserved. #
+# #
+# Redistribution and use in source and binary forms, with or without #
+# modification, are permitted provided that the following conditions are #
+# met: #
+# #
+# * Redistributions of source code must retain the above copyright #
+# notice, this list of conditions and the following disclaimer. #
+# #
+# * Redistributions in binary form must reproduce the above copyright #
+# notice, this list of conditions and the following disclaimer in the #
+# documentation and/or other materials provided with the #
+# distribution. #
+# #
+# * Neither the name of the Intel Corporation nor the names of its #
+# contributors may be used to endorse or promote products derived from #
+# this software without specific prior written permission. #
+# #
+# #
+# THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""AS IS"" AND ANY #
+# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE #
+# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR #
+# PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL CORPORATION OR #
+# CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, #
+# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, #
+# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR #
+# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF #
+# LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING #
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS #
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. #
+# #
+##############################################################################
+# Developers and authors: #
+# Shay Gueron (1, 2), and Vlad Krasnov (1) #
+# (1) Intel Architecture Group, Microprocessor and Chipset Development, #
+# Israel Development Center, Haifa, Israel #
+# (2) University of Haifa #
+##############################################################################
+# Reference: #
+# [1] S. Gueron, "Efficient Software Implementations of Modular #
+# Exponentiation", http://eprint.iacr.org/2011/239 #
+# [2] S. Gueron, V. Krasnov. "Speeding up Big-Numbers Squaring". #
+# IEEE Proceedings of 9th International Conference on Information #
+# Technology: New Generations (ITNG 2012), 821-823 (2012). #
+# [3] S. Gueron, Efficient Software Implementations of Modular Exponentiation#
+# Journal of Cryptographic Engineering 2:31-43 (2012). #
+# [4] S. Gueron, V. Krasnov: "[PATCH] Efficient and side channel analysis #
+# resistant 512-bit and 1024-bit modular exponentiation for optimizing #
+# RSA1024 and RSA2048 on x86_64 platforms", #
+# http://rt.openssl.org/Ticket/Display.html?id=2582&user=guest&pass=guest#
+##############################################################################
+
+# While original submission covers 512- and 1024-bit exponentiation,
+# this module is limited to 512-bit version only (and as such
+# accelerates RSA1024 sign). This is because improvement for longer
+# keys is not high enough to justify the effort, highest measured
+# was ~5% on Westmere. [This is relative to OpenSSL 1.0.2, upcoming
+# for the moment of this writing!] Nor does this module implement
+# "monolithic" complete exponentiation jumbo-subroutine, but adheres
+# to more modular mixture of C and assembly. And it's optimized even
+# for processors other than Intel Core family (see table below for
+# improvement coefficients).
+# <appro@openssl.org>
+#
+# RSA1024 sign/sec this/original |this/rsax(*) this/fips(*)
+# ----------------+---------------------------
+# Opteron +13% |+5% +20%
+# Bulldozer -0% |-1% +10%
+# P4 +11% |+7% +8%
+# Westmere +5% |+14% +17%
+# Sandy Bridge +2% |+12% +29%
+# Ivy Bridge +1% |+11% +35%
+# Haswell(**) -0% |+12% +39%
+# Atom +13% |+11% +4%
+# VIA Nano +70% |+9% +25%
+#
+# (*) rsax engine and fips numbers are presented for reference
+# purposes;
+# (**) MULX was attempted, but found to give only marginal improvement;
+
+$flavour = shift;
+$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 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);
+}
+
+($out, $inp, $mod) = ("%rdi", "%rsi", "%rbp"); # common internal API
+{
+my ($out,$inp,$mod,$n0,$times) = ("%rdi","%rsi","%rdx","%rcx","%r8d");
+
+$code.=<<___;
+.text
+
+.extern OPENSSL_ia32cap_P
+
+.globl rsaz_512_sqr
+.type rsaz_512_sqr,\@function,5
+.align 32
+rsaz_512_sqr: # 25-29% faster than rsaz_512_mul
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ subq \$128+24, %rsp
+.Lsqr_body:
+ movq $mod, %rbp # common argument
+ movq ($inp), %rdx
+ movq 8($inp), %rax
+ movq $n0, 128(%rsp)
+___
+$code.=<<___ if ($addx);
+ movl \$0x80100,%r11d
+ andl OPENSSL_ia32cap_P+8(%rip),%r11d
+ cmpl \$0x80100,%r11d # check for MULX and ADO/CX
+ je .Loop_sqrx
+___
+$code.=<<___;
+ jmp .Loop_sqr
+
+.align 32
+.Loop_sqr:
+ movl $times,128+8(%rsp)
+#first iteration
+ movq %rdx, %rbx
+ mulq %rdx
+ movq %rax, %r8
+ movq 16($inp), %rax
+ movq %rdx, %r9
+
+ mulq %rbx
+ addq %rax, %r9
+ movq 24($inp), %rax
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ mulq %rbx
+ addq %rax, %r10
+ movq 32($inp), %rax
+ movq %rdx, %r11
+ adcq \$0, %r11
+
+ mulq %rbx
+ addq %rax, %r11
+ movq 40($inp), %rax
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ mulq %rbx
+ addq %rax, %r12
+ movq 48($inp), %rax
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ mulq %rbx
+ addq %rax, %r13
+ movq 56($inp), %rax
+ movq %rdx, %r14
+ adcq \$0, %r14
+
+ mulq %rbx
+ addq %rax, %r14
+ movq %rbx, %rax
+ movq %rdx, %r15
+ adcq \$0, %r15
+
+ addq %r8, %r8 #shlq \$1, %r8
+ movq %r9, %rcx
+ adcq %r9, %r9 #shld \$1, %r8, %r9
+
+ mulq %rax
+ movq %rax, (%rsp)
+ addq %rdx, %r8
+ adcq \$0, %r9
+
+ movq %r8, 8(%rsp)
+ shrq \$63, %rcx
+
+#second iteration
+ movq 8($inp), %r8
+ movq 16($inp), %rax
+ mulq %r8
+ addq %rax, %r10
+ movq 24($inp), %rax
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r8
+ addq %rax, %r11
+ movq 32($inp), %rax
+ adcq \$0, %rdx
+ addq %rbx, %r11
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r8
+ addq %rax, %r12
+ movq 40($inp), %rax
+ adcq \$0, %rdx
+ addq %rbx, %r12
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r8
+ addq %rax, %r13
+ movq 48($inp), %rax
+ adcq \$0, %rdx
+ addq %rbx, %r13
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r8
+ addq %rax, %r14
+ movq 56($inp), %rax
+ adcq \$0, %rdx
+ addq %rbx, %r14
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r8
+ addq %rax, %r15
+ movq %r8, %rax
+ adcq \$0, %rdx
+ addq %rbx, %r15
+ movq %rdx, %r8
+ movq %r10, %rdx
+ adcq \$0, %r8
+
+ add %rdx, %rdx
+ lea (%rcx,%r10,2), %r10 #shld \$1, %rcx, %r10
+ movq %r11, %rbx
+ adcq %r11, %r11 #shld \$1, %r10, %r11
+
+ mulq %rax
+ addq %rax, %r9
+ adcq %rdx, %r10
+ adcq \$0, %r11
+
+ movq %r9, 16(%rsp)
+ movq %r10, 24(%rsp)
+ shrq \$63, %rbx
+
+#third iteration
+ movq 16($inp), %r9
+ movq 24($inp), %rax
+ mulq %r9
+ addq %rax, %r12
+ movq 32($inp), %rax
+ movq %rdx, %rcx
+ adcq \$0, %rcx
+
+ mulq %r9
+ addq %rax, %r13
+ movq 40($inp), %rax
+ adcq \$0, %rdx
+ addq %rcx, %r13
+ movq %rdx, %rcx
+ adcq \$0, %rcx
+
+ mulq %r9
+ addq %rax, %r14
+ movq 48($inp), %rax
+ adcq \$0, %rdx
+ addq %rcx, %r14
+ movq %rdx, %rcx
+ adcq \$0, %rcx
+
+ mulq %r9
+ movq %r12, %r10
+ lea (%rbx,%r12,2), %r12 #shld \$1, %rbx, %r12
+ addq %rax, %r15
+ movq 56($inp), %rax
+ adcq \$0, %rdx
+ addq %rcx, %r15
+ movq %rdx, %rcx
+ adcq \$0, %rcx
+
+ mulq %r9
+ shrq \$63, %r10
+ addq %rax, %r8
+ movq %r9, %rax
+ adcq \$0, %rdx
+ addq %rcx, %r8
+ movq %rdx, %r9
+ adcq \$0, %r9
+
+ movq %r13, %rcx
+ leaq (%r10,%r13,2), %r13 #shld \$1, %r12, %r13
+
+ mulq %rax
+ addq %rax, %r11
+ adcq %rdx, %r12
+ adcq \$0, %r13
+
+ movq %r11, 32(%rsp)
+ movq %r12, 40(%rsp)
+ shrq \$63, %rcx
+
+#fourth iteration
+ movq 24($inp), %r10
+ movq 32($inp), %rax
+ mulq %r10
+ addq %rax, %r14
+ movq 40($inp), %rax
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r10
+ addq %rax, %r15
+ movq 48($inp), %rax
+ adcq \$0, %rdx
+ addq %rbx, %r15
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r10
+ movq %r14, %r12
+ leaq (%rcx,%r14,2), %r14 #shld \$1, %rcx, %r14
+ addq %rax, %r8
+ movq 56($inp), %rax
+ adcq \$0, %rdx
+ addq %rbx, %r8
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r10
+ shrq \$63, %r12
+ addq %rax, %r9
+ movq %r10, %rax
+ adcq \$0, %rdx
+ addq %rbx, %r9
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ movq %r15, %rbx
+ leaq (%r12,%r15,2),%r15 #shld \$1, %r14, %r15
+
+ mulq %rax
+ addq %rax, %r13
+ adcq %rdx, %r14
+ adcq \$0, %r15
+
+ movq %r13, 48(%rsp)
+ movq %r14, 56(%rsp)
+ shrq \$63, %rbx
+
+#fifth iteration
+ movq 32($inp), %r11
+ movq 40($inp), %rax
+ mulq %r11
+ addq %rax, %r8
+ movq 48($inp), %rax
+ movq %rdx, %rcx
+ adcq \$0, %rcx
+
+ mulq %r11
+ addq %rax, %r9
+ movq 56($inp), %rax
+ adcq \$0, %rdx
+ movq %r8, %r12
+ leaq (%rbx,%r8,2), %r8 #shld \$1, %rbx, %r8
+ addq %rcx, %r9
+ movq %rdx, %rcx
+ adcq \$0, %rcx
+
+ mulq %r11
+ shrq \$63, %r12
+ addq %rax, %r10
+ movq %r11, %rax
+ adcq \$0, %rdx
+ addq %rcx, %r10
+ movq %rdx, %r11
+ adcq \$0, %r11
+
+ movq %r9, %rcx
+ leaq (%r12,%r9,2), %r9 #shld \$1, %r8, %r9
+
+ mulq %rax
+ addq %rax, %r15
+ adcq %rdx, %r8
+ adcq \$0, %r9
+
+ movq %r15, 64(%rsp)
+ movq %r8, 72(%rsp)
+ shrq \$63, %rcx
+
+#sixth iteration
+ movq 40($inp), %r12
+ movq 48($inp), %rax
+ mulq %r12
+ addq %rax, %r10
+ movq 56($inp), %rax
+ movq %rdx, %rbx
+ adcq \$0, %rbx
+
+ mulq %r12
+ addq %rax, %r11
+ movq %r12, %rax
+ movq %r10, %r15
+ leaq (%rcx,%r10,2), %r10 #shld \$1, %rcx, %r10
+ adcq \$0, %rdx
+ shrq \$63, %r15
+ addq %rbx, %r11
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ movq %r11, %rbx
+ leaq (%r15,%r11,2), %r11 #shld \$1, %r10, %r11
+
+ mulq %rax
+ addq %rax, %r9
+ adcq %rdx, %r10
+ adcq \$0, %r11
+
+ movq %r9, 80(%rsp)
+ movq %r10, 88(%rsp)
+
+#seventh iteration
+ movq 48($inp), %r13
+ movq 56($inp), %rax
+ mulq %r13
+ addq %rax, %r12
+ movq %r13, %rax
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ xorq %r14, %r14
+ shlq \$1, %rbx
+ adcq %r12, %r12 #shld \$1, %rbx, %r12
+ adcq %r13, %r13 #shld \$1, %r12, %r13
+ adcq %r14, %r14 #shld \$1, %r13, %r14
+
+ mulq %rax
+ addq %rax, %r11
+ adcq %rdx, %r12
+ adcq \$0, %r13
+
+ movq %r11, 96(%rsp)
+ movq %r12, 104(%rsp)
+
+#eighth iteration
+ movq 56($inp), %rax
+ mulq %rax
+ addq %rax, %r13
+ adcq \$0, %rdx
+
+ addq %rdx, %r14
+
+ movq %r13, 112(%rsp)
+ movq %r14, 120(%rsp)
+
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reduce
+
+ addq 64(%rsp), %r8
+ adcq 72(%rsp), %r9
+ adcq 80(%rsp), %r10
+ adcq 88(%rsp), %r11
+ adcq 96(%rsp), %r12
+ adcq 104(%rsp), %r13
+ adcq 112(%rsp), %r14
+ adcq 120(%rsp), %r15
+ sbbq %rcx, %rcx
+
+ call __rsaz_512_subtract
+
+ movq %r8, %rdx
+ movq %r9, %rax
+ movl 128+8(%rsp), $times
+ movq $out, $inp
+
+ decl $times
+ jnz .Loop_sqr
+___
+if ($addx) {
+$code.=<<___;
+ jmp .Lsqr_tail
+
+.align 32
+.Loop_sqrx:
+ movl $times,128+8(%rsp)
+ movq $out, %xmm0 # off-load
+ movq %rbp, %xmm1 # off-load
+#first iteration
+ mulx %rax, %r8, %r9
+
+ mulx 16($inp), %rcx, %r10
+ xor %rbp, %rbp # cf=0, of=0
+
+ mulx 24($inp), %rax, %r11
+ adcx %rcx, %r9
+
+ mulx 32($inp), %rcx, %r12
+ adcx %rax, %r10
+
+ mulx 40($inp), %rax, %r13
+ adcx %rcx, %r11
+
+ .byte 0xc4,0x62,0xf3,0xf6,0xb6,0x30,0x00,0x00,0x00 # mulx 48($inp), %rcx, %r14
+ adcx %rax, %r12
+ adcx %rcx, %r13
+
+ .byte 0xc4,0x62,0xfb,0xf6,0xbe,0x38,0x00,0x00,0x00 # mulx 56($inp), %rax, %r15
+ adcx %rax, %r14
+ adcx %rbp, %r15 # %rbp is 0
+
+ mov %r9, %rcx
+ shld \$1, %r8, %r9
+ shl \$1, %r8
+
+ xor %ebp, %ebp
+ mulx %rdx, %rax, %rdx
+ adcx %rdx, %r8
+ mov 8($inp), %rdx
+ adcx %rbp, %r9
+
+ mov %rax, (%rsp)
+ mov %r8, 8(%rsp)
+
+#second iteration
+ mulx 16($inp), %rax, %rbx
+ adox %rax, %r10
+ adcx %rbx, %r11
+
+ .byte 0xc4,0x62,0xc3,0xf6,0x86,0x18,0x00,0x00,0x00 # mulx 24($inp), $out, %r8
+ adox $out, %r11
+ adcx %r8, %r12
+
+ mulx 32($inp), %rax, %rbx
+ adox %rax, %r12
+ adcx %rbx, %r13
+
+ mulx 40($inp), $out, %r8
+ adox $out, %r13
+ adcx %r8, %r14
+
+ .byte 0xc4,0xe2,0xfb,0xf6,0x9e,0x30,0x00,0x00,0x00 # mulx 48($inp), %rax, %rbx
+ adox %rax, %r14
+ adcx %rbx, %r15
+
+ .byte 0xc4,0x62,0xc3,0xf6,0x86,0x38,0x00,0x00,0x00 # mulx 56($inp), $out, %r8
+ adox $out, %r15
+ adcx %rbp, %r8
+ adox %rbp, %r8
+
+ mov %r11, %rbx
+ shld \$1, %r10, %r11
+ shld \$1, %rcx, %r10
+
+ xor %ebp,%ebp
+ mulx %rdx, %rax, %rcx
+ mov 16($inp), %rdx
+ adcx %rax, %r9
+ adcx %rcx, %r10
+ adcx %rbp, %r11
+
+ mov %r9, 16(%rsp)
+ .byte 0x4c,0x89,0x94,0x24,0x18,0x00,0x00,0x00 # mov %r10, 24(%rsp)
+
+#third iteration
+ .byte 0xc4,0x62,0xc3,0xf6,0x8e,0x18,0x00,0x00,0x00 # mulx 24($inp), $out, %r9
+ adox $out, %r12
+ adcx %r9, %r13
+
+ mulx 32($inp), %rax, %rcx
+ adox %rax, %r13
+ adcx %rcx, %r14
+
+ mulx 40($inp), $out, %r9
+ adox $out, %r14
+ adcx %r9, %r15
+
+ .byte 0xc4,0xe2,0xfb,0xf6,0x8e,0x30,0x00,0x00,0x00 # mulx 48($inp), %rax, %rcx
+ adox %rax, %r15
+ adcx %rcx, %r8
+
+ .byte 0xc4,0x62,0xc3,0xf6,0x8e,0x38,0x00,0x00,0x00 # mulx 56($inp), $out, %r9
+ adox $out, %r8
+ adcx %rbp, %r9
+ adox %rbp, %r9
+
+ mov %r13, %rcx
+ shld \$1, %r12, %r13
+ shld \$1, %rbx, %r12
+
+ xor %ebp, %ebp
+ mulx %rdx, %rax, %rdx
+ adcx %rax, %r11
+ adcx %rdx, %r12
+ mov 24($inp), %rdx
+ adcx %rbp, %r13
+
+ mov %r11, 32(%rsp)
+ .byte 0x4c,0x89,0xa4,0x24,0x28,0x00,0x00,0x00 # mov %r12, 40(%rsp)
+
+#fourth iteration
+ .byte 0xc4,0xe2,0xfb,0xf6,0x9e,0x20,0x00,0x00,0x00 # mulx 32($inp), %rax, %rbx
+ adox %rax, %r14
+ adcx %rbx, %r15
+
+ mulx 40($inp), $out, %r10
+ adox $out, %r15
+ adcx %r10, %r8
+
+ mulx 48($inp), %rax, %rbx
+ adox %rax, %r8
+ adcx %rbx, %r9
+
+ mulx 56($inp), $out, %r10
+ adox $out, %r9
+ adcx %rbp, %r10
+ adox %rbp, %r10
+
+ .byte 0x66
+ mov %r15, %rbx
+ shld \$1, %r14, %r15
+ shld \$1, %rcx, %r14
+
+ xor %ebp, %ebp
+ mulx %rdx, %rax, %rdx
+ adcx %rax, %r13
+ adcx %rdx, %r14
+ mov 32($inp), %rdx
+ adcx %rbp, %r15
+
+ mov %r13, 48(%rsp)
+ mov %r14, 56(%rsp)
+
+#fifth iteration
+ .byte 0xc4,0x62,0xc3,0xf6,0x9e,0x28,0x00,0x00,0x00 # mulx 40($inp), $out, %r11
+ adox $out, %r8
+ adcx %r11, %r9
+
+ mulx 48($inp), %rax, %rcx
+ adox %rax, %r9
+ adcx %rcx, %r10
+
+ mulx 56($inp), $out, %r11
+ adox $out, %r10
+ adcx %rbp, %r11
+ adox %rbp, %r11
+
+ mov %r9, %rcx
+ shld \$1, %r8, %r9
+ shld \$1, %rbx, %r8
+
+ xor %ebp, %ebp
+ mulx %rdx, %rax, %rdx
+ adcx %rax, %r15
+ adcx %rdx, %r8
+ mov 40($inp), %rdx
+ adcx %rbp, %r9
+
+ mov %r15, 64(%rsp)
+ mov %r8, 72(%rsp)
+
+#sixth iteration
+ .byte 0xc4,0xe2,0xfb,0xf6,0x9e,0x30,0x00,0x00,0x00 # mulx 48($inp), %rax, %rbx
+ adox %rax, %r10
+ adcx %rbx, %r11
+
+ .byte 0xc4,0x62,0xc3,0xf6,0xa6,0x38,0x00,0x00,0x00 # mulx 56($inp), $out, %r12
+ adox $out, %r11
+ adcx %rbp, %r12
+ adox %rbp, %r12
+
+ mov %r11, %rbx
+ shld \$1, %r10, %r11
+ shld \$1, %rcx, %r10
+
+ xor %ebp, %ebp
+ mulx %rdx, %rax, %rdx
+ adcx %rax, %r9
+ adcx %rdx, %r10
+ mov 48($inp), %rdx
+ adcx %rbp, %r11
+
+ mov %r9, 80(%rsp)
+ mov %r10, 88(%rsp)
+
+#seventh iteration
+ .byte 0xc4,0x62,0xfb,0xf6,0xae,0x38,0x00,0x00,0x00 # mulx 56($inp), %rax, %r13
+ adox %rax, %r12
+ adox %rbp, %r13
+
+ xor %r14, %r14
+ shld \$1, %r13, %r14
+ shld \$1, %r12, %r13
+ shld \$1, %rbx, %r12
+
+ xor %ebp, %ebp
+ mulx %rdx, %rax, %rdx
+ adcx %rax, %r11
+ adcx %rdx, %r12
+ mov 56($inp), %rdx
+ adcx %rbp, %r13
+
+ .byte 0x4c,0x89,0x9c,0x24,0x60,0x00,0x00,0x00 # mov %r11, 96(%rsp)
+ .byte 0x4c,0x89,0xa4,0x24,0x68,0x00,0x00,0x00 # mov %r12, 104(%rsp)
+
+#eighth iteration
+ mulx %rdx, %rax, %rdx
+ adox %rax, %r13
+ adox %rbp, %rdx
+
+ .byte 0x66
+ add %rdx, %r14
+
+ movq %r13, 112(%rsp)
+ movq %r14, 120(%rsp)
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ movq 128(%rsp), %rdx # pull $n0
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reducex
+
+ addq 64(%rsp), %r8
+ adcq 72(%rsp), %r9
+ adcq 80(%rsp), %r10
+ adcq 88(%rsp), %r11
+ adcq 96(%rsp), %r12
+ adcq 104(%rsp), %r13
+ adcq 112(%rsp), %r14
+ adcq 120(%rsp), %r15
+ sbbq %rcx, %rcx
+
+ call __rsaz_512_subtract
+
+ movq %r8, %rdx
+ movq %r9, %rax
+ movl 128+8(%rsp), $times
+ movq $out, $inp
+
+ decl $times
+ jnz .Loop_sqrx
+
+.Lsqr_tail:
+___
+}
+$code.=<<___;
+
+ leaq 128+24+48(%rsp), %rax
+ movq -48(%rax), %r15
+ movq -40(%rax), %r14
+ movq -32(%rax), %r13
+ movq -24(%rax), %r12
+ movq -16(%rax), %rbp
+ movq -8(%rax), %rbx
+ leaq (%rax), %rsp
+.Lsqr_epilogue:
+ ret
+.size rsaz_512_sqr,.-rsaz_512_sqr
+___
+}
+{
+my ($out,$ap,$bp,$mod,$n0) = ("%rdi","%rsi","%rdx","%rcx","%r8");
+$code.=<<___;
+.globl rsaz_512_mul
+.type rsaz_512_mul,\@function,5
+.align 32
+rsaz_512_mul:
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ subq \$128+24, %rsp
+.Lmul_body:
+ movq $out, %xmm0 # off-load arguments
+ movq $mod, %xmm1
+ movq $n0, 128(%rsp)
+___
+$code.=<<___ if ($addx);
+ movl \$0x80100,%r11d
+ andl OPENSSL_ia32cap_P+8(%rip),%r11d
+ cmpl \$0x80100,%r11d # check for MULX and ADO/CX
+ je .Lmulx
+___
+$code.=<<___;
+ movq ($bp), %rbx # pass b[0]
+ movq $bp, %rbp # pass argument
+ call __rsaz_512_mul
+
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reduce
+___
+$code.=<<___ if ($addx);
+ jmp .Lmul_tail
+
+.align 32
+.Lmulx:
+ movq $bp, %rbp # pass argument
+ movq ($bp), %rdx # pass b[0]
+ call __rsaz_512_mulx
+
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ movq 128(%rsp), %rdx # pull $n0
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reducex
+.Lmul_tail:
+___
+$code.=<<___;
+ addq 64(%rsp), %r8
+ adcq 72(%rsp), %r9
+ adcq 80(%rsp), %r10
+ adcq 88(%rsp), %r11
+ adcq 96(%rsp), %r12
+ adcq 104(%rsp), %r13
+ adcq 112(%rsp), %r14
+ adcq 120(%rsp), %r15
+ sbbq %rcx, %rcx
+
+ call __rsaz_512_subtract
+
+ leaq 128+24+48(%rsp), %rax
+ movq -48(%rax), %r15
+ movq -40(%rax), %r14
+ movq -32(%rax), %r13
+ movq -24(%rax), %r12
+ movq -16(%rax), %rbp
+ movq -8(%rax), %rbx
+ leaq (%rax), %rsp
+.Lmul_epilogue:
+ ret
+.size rsaz_512_mul,.-rsaz_512_mul
+___
+}
+{
+my ($out,$ap,$bp,$mod,$n0,$pwr) = ("%rdi","%rsi","%rdx","%rcx","%r8","%r9d");
+$code.=<<___;
+.globl rsaz_512_mul_gather4
+.type rsaz_512_mul_gather4,\@function,6
+.align 32
+rsaz_512_mul_gather4:
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ mov $pwr, $pwr
+ subq \$128+24, %rsp
+.Lmul_gather4_body:
+___
+$code.=<<___ if ($addx);
+ movl \$0x80100,%r11d
+ andl OPENSSL_ia32cap_P+8(%rip),%r11d
+ cmpl \$0x80100,%r11d # check for MULX and ADO/CX
+ je .Lmulx_gather
+___
+$code.=<<___;
+ movl 64($bp,$pwr,4), %eax
+ movq $out, %xmm0 # off-load arguments
+ movl ($bp,$pwr,4), %ebx
+ movq $mod, %xmm1
+ movq $n0, 128(%rsp)
+
+ shlq \$32, %rax
+ or %rax, %rbx
+ movq ($ap), %rax
+ movq 8($ap), %rcx
+ leaq 128($bp,$pwr,4), %rbp
+ mulq %rbx # 0 iteration
+ movq %rax, (%rsp)
+ movq %rcx, %rax
+ movq %rdx, %r8
+
+ mulq %rbx
+ movd (%rbp), %xmm4
+ addq %rax, %r8
+ movq 16($ap), %rax
+ movq %rdx, %r9
+ adcq \$0, %r9
+
+ mulq %rbx
+ movd 64(%rbp), %xmm5
+ addq %rax, %r9
+ movq 24($ap), %rax
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ mulq %rbx
+ pslldq \$4, %xmm5
+ addq %rax, %r10
+ movq 32($ap), %rax
+ movq %rdx, %r11
+ adcq \$0, %r11
+
+ mulq %rbx
+ por %xmm5, %xmm4
+ addq %rax, %r11
+ movq 40($ap), %rax
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ mulq %rbx
+ addq %rax, %r12
+ movq 48($ap), %rax
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ mulq %rbx
+ leaq 128(%rbp), %rbp
+ addq %rax, %r13
+ movq 56($ap), %rax
+ movq %rdx, %r14
+ adcq \$0, %r14
+
+ mulq %rbx
+ movq %xmm4, %rbx
+ addq %rax, %r14
+ movq ($ap), %rax
+ movq %rdx, %r15
+ adcq \$0, %r15
+
+ leaq 8(%rsp), %rdi
+ movl \$7, %ecx
+ jmp .Loop_mul_gather
+
+.align 32
+.Loop_mul_gather:
+ mulq %rbx
+ addq %rax, %r8
+ movq 8($ap), %rax
+ movq %r8, (%rdi)
+ movq %rdx, %r8
+ adcq \$0, %r8
+
+ mulq %rbx
+ movd (%rbp), %xmm4
+ addq %rax, %r9
+ movq 16($ap), %rax
+ adcq \$0, %rdx
+ addq %r9, %r8
+ movq %rdx, %r9
+ adcq \$0, %r9
+
+ mulq %rbx
+ movd 64(%rbp), %xmm5
+ addq %rax, %r10
+ movq 24($ap), %rax
+ adcq \$0, %rdx
+ addq %r10, %r9
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ mulq %rbx
+ pslldq \$4, %xmm5
+ addq %rax, %r11
+ movq 32($ap), %rax
+ adcq \$0, %rdx
+ addq %r11, %r10
+ movq %rdx, %r11
+ adcq \$0, %r11
+
+ mulq %rbx
+ por %xmm5, %xmm4
+ addq %rax, %r12
+ movq 40($ap), %rax
+ adcq \$0, %rdx
+ addq %r12, %r11
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ mulq %rbx
+ addq %rax, %r13
+ movq 48($ap), %rax
+ adcq \$0, %rdx
+ addq %r13, %r12
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ mulq %rbx
+ addq %rax, %r14
+ movq 56($ap), %rax
+ adcq \$0, %rdx
+ addq %r14, %r13
+ movq %rdx, %r14
+ adcq \$0, %r14
+
+ mulq %rbx
+ movq %xmm4, %rbx
+ addq %rax, %r15
+ movq ($ap), %rax
+ adcq \$0, %rdx
+ addq %r15, %r14
+ movq %rdx, %r15
+ adcq \$0, %r15
+
+ leaq 128(%rbp), %rbp
+ leaq 8(%rdi), %rdi
+
+ decl %ecx
+ jnz .Loop_mul_gather
+
+ movq %r8, (%rdi)
+ movq %r9, 8(%rdi)
+ movq %r10, 16(%rdi)
+ movq %r11, 24(%rdi)
+ movq %r12, 32(%rdi)
+ movq %r13, 40(%rdi)
+ movq %r14, 48(%rdi)
+ movq %r15, 56(%rdi)
+
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reduce
+___
+$code.=<<___ if ($addx);
+ jmp .Lmul_gather_tail
+
+.align 32
+.Lmulx_gather:
+ mov 64($bp,$pwr,4), %eax
+ movq $out, %xmm0 # off-load arguments
+ lea 128($bp,$pwr,4), %rbp
+ mov ($bp,$pwr,4), %edx
+ movq $mod, %xmm1
+ mov $n0, 128(%rsp)
+
+ shl \$32, %rax
+ or %rax, %rdx
+ mulx ($ap), %rbx, %r8 # 0 iteration
+ mov %rbx, (%rsp)
+ xor %edi, %edi # cf=0, of=0
+
+ mulx 8($ap), %rax, %r9
+ movd (%rbp), %xmm4
+
+ mulx 16($ap), %rbx, %r10
+ movd 64(%rbp), %xmm5
+ adcx %rax, %r8
+
+ mulx 24($ap), %rax, %r11
+ pslldq \$4, %xmm5
+ adcx %rbx, %r9
+
+ mulx 32($ap), %rbx, %r12
+ por %xmm5, %xmm4
+ adcx %rax, %r10
+
+ mulx 40($ap), %rax, %r13
+ adcx %rbx, %r11
+
+ mulx 48($ap), %rbx, %r14
+ lea 128(%rbp), %rbp
+ adcx %rax, %r12
+
+ mulx 56($ap), %rax, %r15
+ movq %xmm4, %rdx
+ adcx %rbx, %r13
+ adcx %rax, %r14
+ mov %r8, %rbx
+ adcx %rdi, %r15 # %rdi is 0
+
+ mov \$-7, %rcx
+ jmp .Loop_mulx_gather
+
+.align 32
+.Loop_mulx_gather:
+ mulx ($ap), %rax, %r8
+ adcx %rax, %rbx
+ adox %r9, %r8
+
+ mulx 8($ap), %rax, %r9
+ .byte 0x66,0x0f,0x6e,0xa5,0x00,0x00,0x00,0x00 # movd (%rbp), %xmm4
+ adcx %rax, %r8
+ adox %r10, %r9
+
+ mulx 16($ap), %rax, %r10
+ movd 64(%rbp), %xmm5
+ lea 128(%rbp), %rbp
+ adcx %rax, %r9
+ adox %r11, %r10
+
+ .byte 0xc4,0x62,0xfb,0xf6,0x9e,0x18,0x00,0x00,0x00 # mulx 24($ap), %rax, %r11
+ pslldq \$4, %xmm5
+ por %xmm5, %xmm4
+ adcx %rax, %r10
+ adox %r12, %r11
+
+ mulx 32($ap), %rax, %r12
+ adcx %rax, %r11
+ adox %r13, %r12
+
+ mulx 40($ap), %rax, %r13
+ adcx %rax, %r12
+ adox %r14, %r13
+
+ .byte 0xc4,0x62,0xfb,0xf6,0xb6,0x30,0x00,0x00,0x00 # mulx 48($ap), %rax, %r14
+ adcx %rax, %r13
+ adox %r15, %r14
+
+ mulx 56($ap), %rax, %r15
+ movq %xmm4, %rdx
+ mov %rbx, 64(%rsp,%rcx,8)
+ adcx %rax, %r14
+ adox %rdi, %r15
+ mov %r8, %rbx
+ adcx %rdi, %r15 # cf=0
+
+ inc %rcx # of=0
+ jnz .Loop_mulx_gather
+
+ mov %r8, 64(%rsp)
+ mov %r9, 64+8(%rsp)
+ mov %r10, 64+16(%rsp)
+ mov %r11, 64+24(%rsp)
+ mov %r12, 64+32(%rsp)
+ mov %r13, 64+40(%rsp)
+ mov %r14, 64+48(%rsp)
+ mov %r15, 64+56(%rsp)
+
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ mov 128(%rsp), %rdx # pull $n0
+ mov (%rsp), %r8
+ mov 8(%rsp), %r9
+ mov 16(%rsp), %r10
+ mov 24(%rsp), %r11
+ mov 32(%rsp), %r12
+ mov 40(%rsp), %r13
+ mov 48(%rsp), %r14
+ mov 56(%rsp), %r15
+
+ call __rsaz_512_reducex
+
+.Lmul_gather_tail:
+___
+$code.=<<___;
+ addq 64(%rsp), %r8
+ adcq 72(%rsp), %r9
+ adcq 80(%rsp), %r10
+ adcq 88(%rsp), %r11
+ adcq 96(%rsp), %r12
+ adcq 104(%rsp), %r13
+ adcq 112(%rsp), %r14
+ adcq 120(%rsp), %r15
+ sbbq %rcx, %rcx
+
+ call __rsaz_512_subtract
+
+ leaq 128+24+48(%rsp), %rax
+ movq -48(%rax), %r15
+ movq -40(%rax), %r14
+ movq -32(%rax), %r13
+ movq -24(%rax), %r12
+ movq -16(%rax), %rbp
+ movq -8(%rax), %rbx
+ leaq (%rax), %rsp
+.Lmul_gather4_epilogue:
+ ret
+.size rsaz_512_mul_gather4,.-rsaz_512_mul_gather4
+___
+}
+{
+my ($out,$ap,$mod,$n0,$tbl,$pwr) = ("%rdi","%rsi","%rdx","%rcx","%r8","%r9d");
+$code.=<<___;
+.globl rsaz_512_mul_scatter4
+.type rsaz_512_mul_scatter4,\@function,6
+.align 32
+rsaz_512_mul_scatter4:
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ mov $pwr, $pwr
+ subq \$128+24, %rsp
+.Lmul_scatter4_body:
+ leaq ($tbl,$pwr,4), $tbl
+ movq $out, %xmm0 # off-load arguments
+ movq $mod, %xmm1
+ movq $tbl, %xmm2
+ movq $n0, 128(%rsp)
+
+ movq $out, %rbp
+___
+$code.=<<___ if ($addx);
+ movl \$0x80100,%r11d
+ andl OPENSSL_ia32cap_P+8(%rip),%r11d
+ cmpl \$0x80100,%r11d # check for MULX and ADO/CX
+ je .Lmulx_scatter
+___
+$code.=<<___;
+ movq ($out),%rbx # pass b[0]
+ call __rsaz_512_mul
+
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reduce
+___
+$code.=<<___ if ($addx);
+ jmp .Lmul_scatter_tail
+
+.align 32
+.Lmulx_scatter:
+ movq ($out), %rdx # pass b[0]
+ call __rsaz_512_mulx
+
+ movq %xmm0, $out
+ movq %xmm1, %rbp
+
+ movq 128(%rsp), %rdx # pull $n0
+ movq (%rsp), %r8
+ movq 8(%rsp), %r9
+ movq 16(%rsp), %r10
+ movq 24(%rsp), %r11
+ movq 32(%rsp), %r12
+ movq 40(%rsp), %r13
+ movq 48(%rsp), %r14
+ movq 56(%rsp), %r15
+
+ call __rsaz_512_reducex
+
+.Lmul_scatter_tail:
+___
+$code.=<<___;
+ addq 64(%rsp), %r8
+ adcq 72(%rsp), %r9
+ adcq 80(%rsp), %r10
+ adcq 88(%rsp), %r11
+ adcq 96(%rsp), %r12
+ adcq 104(%rsp), %r13
+ adcq 112(%rsp), %r14
+ adcq 120(%rsp), %r15
+ movq %xmm2, $inp
+ sbbq %rcx, %rcx
+
+ call __rsaz_512_subtract
+
+ movl %r8d, 64*0($inp) # scatter
+ shrq \$32, %r8
+ movl %r9d, 64*2($inp)
+ shrq \$32, %r9
+ movl %r10d, 64*4($inp)
+ shrq \$32, %r10
+ movl %r11d, 64*6($inp)
+ shrq \$32, %r11
+ movl %r12d, 64*8($inp)
+ shrq \$32, %r12
+ movl %r13d, 64*10($inp)
+ shrq \$32, %r13
+ movl %r14d, 64*12($inp)
+ shrq \$32, %r14
+ movl %r15d, 64*14($inp)
+ shrq \$32, %r15
+ movl %r8d, 64*1($inp)
+ movl %r9d, 64*3($inp)
+ movl %r10d, 64*5($inp)
+ movl %r11d, 64*7($inp)
+ movl %r12d, 64*9($inp)
+ movl %r13d, 64*11($inp)
+ movl %r14d, 64*13($inp)
+ movl %r15d, 64*15($inp)
+
+ leaq 128+24+48(%rsp), %rax
+ movq -48(%rax), %r15
+ movq -40(%rax), %r14
+ movq -32(%rax), %r13
+ movq -24(%rax), %r12
+ movq -16(%rax), %rbp
+ movq -8(%rax), %rbx
+ leaq (%rax), %rsp
+.Lmul_scatter4_epilogue:
+ ret
+.size rsaz_512_mul_scatter4,.-rsaz_512_mul_scatter4
+___
+}
+{
+my ($out,$inp,$mod,$n0) = ("%rdi","%rsi","%rdx","%rcx");
+$code.=<<___;
+.globl rsaz_512_mul_by_one
+.type rsaz_512_mul_by_one,\@function,4
+.align 32
+rsaz_512_mul_by_one:
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ subq \$128+24, %rsp
+.Lmul_by_one_body:
+___
+$code.=<<___ if ($addx);
+ movl OPENSSL_ia32cap_P+8(%rip),%eax
+___
+$code.=<<___;
+ movq $mod, %rbp # reassign argument
+ movq $n0, 128(%rsp)
+
+ movq ($inp), %r8
+ pxor %xmm0, %xmm0
+ movq 8($inp), %r9
+ movq 16($inp), %r10
+ movq 24($inp), %r11
+ movq 32($inp), %r12
+ movq 40($inp), %r13
+ movq 48($inp), %r14
+ movq 56($inp), %r15
+
+ movdqa %xmm0, (%rsp)
+ movdqa %xmm0, 16(%rsp)
+ movdqa %xmm0, 32(%rsp)
+ movdqa %xmm0, 48(%rsp)
+ movdqa %xmm0, 64(%rsp)
+ movdqa %xmm0, 80(%rsp)
+ movdqa %xmm0, 96(%rsp)
+___
+$code.=<<___ if ($addx);
+ andl \$0x80100,%eax
+ cmpl \$0x80100,%eax # check for MULX and ADO/CX
+ je .Lby_one_callx
+___
+$code.=<<___;
+ call __rsaz_512_reduce
+___
+$code.=<<___ if ($addx);
+ jmp .Lby_one_tail
+.align 32
+.Lby_one_callx:
+ movq 128(%rsp), %rdx # pull $n0
+ call __rsaz_512_reducex
+.Lby_one_tail:
+___
+$code.=<<___;
+ movq %r8, ($out)
+ movq %r9, 8($out)
+ movq %r10, 16($out)
+ movq %r11, 24($out)
+ movq %r12, 32($out)
+ movq %r13, 40($out)
+ movq %r14, 48($out)
+ movq %r15, 56($out)
+
+ leaq 128+24+48(%rsp), %rax
+ movq -48(%rax), %r15
+ movq -40(%rax), %r14
+ movq -32(%rax), %r13
+ movq -24(%rax), %r12
+ movq -16(%rax), %rbp
+ movq -8(%rax), %rbx
+ leaq (%rax), %rsp
+.Lmul_by_one_epilogue:
+ ret
+.size rsaz_512_mul_by_one,.-rsaz_512_mul_by_one
+___
+}
+{ # __rsaz_512_reduce
+ #
+ # input: %r8-%r15, %rbp - mod, 128(%rsp) - n0
+ # output: %r8-%r15
+ # clobbers: everything except %rbp and %rdi
+$code.=<<___;
+.type __rsaz_512_reduce,\@abi-omnipotent
+.align 32
+__rsaz_512_reduce:
+ movq %r8, %rbx
+ imulq 128+8(%rsp), %rbx
+ movq 0(%rbp), %rax
+ movl \$8, %ecx
+ jmp .Lreduction_loop
+
+.align 32
+.Lreduction_loop:
+ mulq %rbx
+ movq 8(%rbp), %rax
+ negq %r8
+ movq %rdx, %r8
+ adcq \$0, %r8
+
+ mulq %rbx
+ addq %rax, %r9
+ movq 16(%rbp), %rax
+ adcq \$0, %rdx
+ addq %r9, %r8
+ movq %rdx, %r9
+ adcq \$0, %r9
+
+ mulq %rbx
+ addq %rax, %r10
+ movq 24(%rbp), %rax
+ adcq \$0, %rdx
+ addq %r10, %r9
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ mulq %rbx
+ addq %rax, %r11
+ movq 32(%rbp), %rax
+ adcq \$0, %rdx
+ addq %r11, %r10
+ movq 128+8(%rsp), %rsi
+ #movq %rdx, %r11
+ #adcq \$0, %r11
+ adcq \$0, %rdx
+ movq %rdx, %r11
+
+ mulq %rbx
+ addq %rax, %r12
+ movq 40(%rbp), %rax
+ adcq \$0, %rdx
+ imulq %r8, %rsi
+ addq %r12, %r11
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ mulq %rbx
+ addq %rax, %r13
+ movq 48(%rbp), %rax
+ adcq \$0, %rdx
+ addq %r13, %r12
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ mulq %rbx
+ addq %rax, %r14
+ movq 56(%rbp), %rax
+ adcq \$0, %rdx
+ addq %r14, %r13
+ movq %rdx, %r14
+ adcq \$0, %r14
+
+ mulq %rbx
+ movq %rsi, %rbx
+ addq %rax, %r15
+ movq 0(%rbp), %rax
+ adcq \$0, %rdx
+ addq %r15, %r14
+ movq %rdx, %r15
+ adcq \$0, %r15
+
+ decl %ecx
+ jne .Lreduction_loop
+
+ ret
+.size __rsaz_512_reduce,.-__rsaz_512_reduce
+___
+}
+if ($addx) {
+ # __rsaz_512_reducex
+ #
+ # input: %r8-%r15, %rbp - mod, 128(%rsp) - n0
+ # output: %r8-%r15
+ # clobbers: everything except %rbp and %rdi
+$code.=<<___;
+.type __rsaz_512_reducex,\@abi-omnipotent
+.align 32
+__rsaz_512_reducex:
+ #movq 128+8(%rsp), %rdx # pull $n0
+ imulq %r8, %rdx
+ xorq %rsi, %rsi # cf=0,of=0
+ movl \$8, %ecx
+ jmp .Lreduction_loopx
+
+.align 32
+.Lreduction_loopx:
+ mov %r8, %rbx
+ mulx 0(%rbp), %rax, %r8
+ adcx %rbx, %rax
+ adox %r9, %r8
+
+ mulx 8(%rbp), %rax, %r9
+ adcx %rax, %r8
+ adox %r10, %r9
+
+ mulx 16(%rbp), %rbx, %r10
+ adcx %rbx, %r9
+ adox %r11, %r10
+
+ mulx 24(%rbp), %rbx, %r11
+ adcx %rbx, %r10
+ adox %r12, %r11
+
+ .byte 0xc4,0x62,0xe3,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 32(%rbp), %rbx, %r12
+ mov %rdx, %rax
+ mov %r8, %rdx
+ adcx %rbx, %r11
+ adox %r13, %r12
+
+ mulx 128+8(%rsp), %rbx, %rdx
+ mov %rax, %rdx
+
+ mulx 40(%rbp), %rax, %r13
+ adcx %rax, %r12
+ adox %r14, %r13
+
+ .byte 0xc4,0x62,0xfb,0xf6,0xb5,0x30,0x00,0x00,0x00 # mulx 48(%rbp), %rax, %r14
+ adcx %rax, %r13
+ adox %r15, %r14
+
+ mulx 56(%rbp), %rax, %r15
+ mov %rbx, %rdx
+ adcx %rax, %r14
+ adox %rsi, %r15 # %rsi is 0
+ adcx %rsi, %r15 # cf=0
+
+ decl %ecx # of=0
+ jne .Lreduction_loopx
+
+ ret
+.size __rsaz_512_reducex,.-__rsaz_512_reducex
+___
+}
+{ # __rsaz_512_subtract
+ # input: %r8-%r15, %rdi - $out, %rbp - $mod, %rcx - mask
+ # output:
+ # clobbers: everything but %rdi, %rsi and %rbp
+$code.=<<___;
+.type __rsaz_512_subtract,\@abi-omnipotent
+.align 32
+__rsaz_512_subtract:
+ movq %r8, ($out)
+ movq %r9, 8($out)
+ movq %r10, 16($out)
+ movq %r11, 24($out)
+ movq %r12, 32($out)
+ movq %r13, 40($out)
+ movq %r14, 48($out)
+ movq %r15, 56($out)
+
+ movq 0($mod), %r8
+ movq 8($mod), %r9
+ negq %r8
+ notq %r9
+ andq %rcx, %r8
+ movq 16($mod), %r10
+ andq %rcx, %r9
+ notq %r10
+ movq 24($mod), %r11
+ andq %rcx, %r10
+ notq %r11
+ movq 32($mod), %r12
+ andq %rcx, %r11
+ notq %r12
+ movq 40($mod), %r13
+ andq %rcx, %r12
+ notq %r13
+ movq 48($mod), %r14
+ andq %rcx, %r13
+ notq %r14
+ movq 56($mod), %r15
+ andq %rcx, %r14
+ notq %r15
+ andq %rcx, %r15
+
+ addq ($out), %r8
+ adcq 8($out), %r9
+ adcq 16($out), %r10
+ adcq 24($out), %r11
+ adcq 32($out), %r12
+ adcq 40($out), %r13
+ adcq 48($out), %r14
+ adcq 56($out), %r15
+
+ movq %r8, ($out)
+ movq %r9, 8($out)
+ movq %r10, 16($out)
+ movq %r11, 24($out)
+ movq %r12, 32($out)
+ movq %r13, 40($out)
+ movq %r14, 48($out)
+ movq %r15, 56($out)
+
+ ret
+.size __rsaz_512_subtract,.-__rsaz_512_subtract
+___
+}
+{ # __rsaz_512_mul
+ #
+ # input: %rsi - ap, %rbp - bp
+ # ouput:
+ # clobbers: everything
+my ($ap,$bp) = ("%rsi","%rbp");
+$code.=<<___;
+.type __rsaz_512_mul,\@abi-omnipotent
+.align 32
+__rsaz_512_mul:
+ leaq 8(%rsp), %rdi
+
+ movq ($ap), %rax
+ mulq %rbx
+ movq %rax, (%rdi)
+ movq 8($ap), %rax
+ movq %rdx, %r8
+
+ mulq %rbx
+ addq %rax, %r8
+ movq 16($ap), %rax
+ movq %rdx, %r9
+ adcq \$0, %r9
+
+ mulq %rbx
+ addq %rax, %r9
+ movq 24($ap), %rax
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ mulq %rbx
+ addq %rax, %r10
+ movq 32($ap), %rax
+ movq %rdx, %r11
+ adcq \$0, %r11
+
+ mulq %rbx
+ addq %rax, %r11
+ movq 40($ap), %rax
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ mulq %rbx
+ addq %rax, %r12
+ movq 48($ap), %rax
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ mulq %rbx
+ addq %rax, %r13
+ movq 56($ap), %rax
+ movq %rdx, %r14
+ adcq \$0, %r14
+
+ mulq %rbx
+ addq %rax, %r14
+ movq ($ap), %rax
+ movq %rdx, %r15
+ adcq \$0, %r15
+
+ leaq 8($bp), $bp
+ leaq 8(%rdi), %rdi
+
+ movl \$7, %ecx
+ jmp .Loop_mul
+
+.align 32
+.Loop_mul:
+ movq ($bp), %rbx
+ mulq %rbx
+ addq %rax, %r8
+ movq 8($ap), %rax
+ movq %r8, (%rdi)
+ movq %rdx, %r8
+ adcq \$0, %r8
+
+ mulq %rbx
+ addq %rax, %r9
+ movq 16($ap), %rax
+ adcq \$0, %rdx
+ addq %r9, %r8
+ movq %rdx, %r9
+ adcq \$0, %r9
+
+ mulq %rbx
+ addq %rax, %r10
+ movq 24($ap), %rax
+ adcq \$0, %rdx
+ addq %r10, %r9
+ movq %rdx, %r10
+ adcq \$0, %r10
+
+ mulq %rbx
+ addq %rax, %r11
+ movq 32($ap), %rax
+ adcq \$0, %rdx
+ addq %r11, %r10
+ movq %rdx, %r11
+ adcq \$0, %r11
+
+ mulq %rbx
+ addq %rax, %r12
+ movq 40($ap), %rax
+ adcq \$0, %rdx
+ addq %r12, %r11
+ movq %rdx, %r12
+ adcq \$0, %r12
+
+ mulq %rbx
+ addq %rax, %r13
+ movq 48($ap), %rax
+ adcq \$0, %rdx
+ addq %r13, %r12
+ movq %rdx, %r13
+ adcq \$0, %r13
+
+ mulq %rbx
+ addq %rax, %r14
+ movq 56($ap), %rax
+ adcq \$0, %rdx
+ addq %r14, %r13
+ movq %rdx, %r14
+ leaq 8($bp), $bp
+ adcq \$0, %r14
+
+ mulq %rbx
+ addq %rax, %r15
+ movq ($ap), %rax
+ adcq \$0, %rdx
+ addq %r15, %r14
+ movq %rdx, %r15
+ adcq \$0, %r15
+
+ leaq 8(%rdi), %rdi
+
+ decl %ecx
+ jnz .Loop_mul
+
+ movq %r8, (%rdi)
+ movq %r9, 8(%rdi)
+ movq %r10, 16(%rdi)
+ movq %r11, 24(%rdi)
+ movq %r12, 32(%rdi)
+ movq %r13, 40(%rdi)
+ movq %r14, 48(%rdi)
+ movq %r15, 56(%rdi)
+
+ ret
+.size __rsaz_512_mul,.-__rsaz_512_mul
+___
+}
+if ($addx) {
+ # __rsaz_512_mulx
+ #
+ # input: %rsi - ap, %rbp - bp
+ # ouput:
+ # clobbers: everything
+my ($ap,$bp,$zero) = ("%rsi","%rbp","%rdi");
+$code.=<<___;
+.type __rsaz_512_mulx,\@abi-omnipotent
+.align 32
+__rsaz_512_mulx:
+ mulx ($ap), %rbx, %r8 # initial %rdx preloaded by caller
+ mov \$-6, %rcx
+
+ mulx 8($ap), %rax, %r9
+ movq %rbx, 8(%rsp)
+
+ mulx 16($ap), %rbx, %r10
+ adc %rax, %r8
+
+ mulx 24($ap), %rax, %r11
+ adc %rbx, %r9
+
+ mulx 32($ap), %rbx, %r12
+ adc %rax, %r10
+
+ mulx 40($ap), %rax, %r13
+ adc %rbx, %r11
+
+ mulx 48($ap), %rbx, %r14
+ adc %rax, %r12
+
+ mulx 56($ap), %rax, %r15
+ mov 8($bp), %rdx
+ adc %rbx, %r13
+ adc %rax, %r14
+ adc \$0, %r15
+
+ xor $zero, $zero # cf=0,of=0
+ jmp .Loop_mulx
+
+.align 32
+.Loop_mulx:
+ movq %r8, %rbx
+ mulx ($ap), %rax, %r8
+ adcx %rax, %rbx
+ adox %r9, %r8
+
+ mulx 8($ap), %rax, %r9
+ adcx %rax, %r8
+ adox %r10, %r9
+
+ mulx 16($ap), %rax, %r10
+ adcx %rax, %r9
+ adox %r11, %r10
+
+ mulx 24($ap), %rax, %r11
+ adcx %rax, %r10
+ adox %r12, %r11
+
+ .byte 0x3e,0xc4,0x62,0xfb,0xf6,0xa6,0x20,0x00,0x00,0x00 # mulx 32($ap), %rax, %r12
+ adcx %rax, %r11
+ adox %r13, %r12
+
+ mulx 40($ap), %rax, %r13
+ adcx %rax, %r12
+ adox %r14, %r13
+
+ mulx 48($ap), %rax, %r14
+ adcx %rax, %r13
+ adox %r15, %r14
+
+ mulx 56($ap), %rax, %r15
+ movq 64($bp,%rcx,8), %rdx
+ movq %rbx, 8+64-8(%rsp,%rcx,8)
+ adcx %rax, %r14
+ adox $zero, %r15
+ adcx $zero, %r15 # cf=0
+
+ inc %rcx # of=0
+ jnz .Loop_mulx
+
+ movq %r8, %rbx
+ mulx ($ap), %rax, %r8
+ adcx %rax, %rbx
+ adox %r9, %r8
+
+ .byte 0xc4,0x62,0xfb,0xf6,0x8e,0x08,0x00,0x00,0x00 # mulx 8($ap), %rax, %r9
+ adcx %rax, %r8
+ adox %r10, %r9
+
+ .byte 0xc4,0x62,0xfb,0xf6,0x96,0x10,0x00,0x00,0x00 # mulx 16($ap), %rax, %r10
+ adcx %rax, %r9
+ adox %r11, %r10
+
+ mulx 24($ap), %rax, %r11
+ adcx %rax, %r10
+ adox %r12, %r11
+
+ mulx 32($ap), %rax, %r12
+ adcx %rax, %r11
+ adox %r13, %r12
+
+ mulx 40($ap), %rax, %r13
+ adcx %rax, %r12
+ adox %r14, %r13
+
+ .byte 0xc4,0x62,0xfb,0xf6,0xb6,0x30,0x00,0x00,0x00 # mulx 48($ap), %rax, %r14
+ adcx %rax, %r13
+ adox %r15, %r14
+
+ .byte 0xc4,0x62,0xfb,0xf6,0xbe,0x38,0x00,0x00,0x00 # mulx 56($ap), %rax, %r15
+ adcx %rax, %r14
+ adox $zero, %r15
+ adcx $zero, %r15
+
+ mov %rbx, 8+64-8(%rsp)
+ mov %r8, 8+64(%rsp)
+ mov %r9, 8+64+8(%rsp)
+ mov %r10, 8+64+16(%rsp)
+ mov %r11, 8+64+24(%rsp)
+ mov %r12, 8+64+32(%rsp)
+ mov %r13, 8+64+40(%rsp)
+ mov %r14, 8+64+48(%rsp)
+ mov %r15, 8+64+56(%rsp)
+
+ ret
+.size __rsaz_512_mulx,.-__rsaz_512_mulx
+___
+}
+{
+my ($out,$inp,$power)= $win64 ? ("%rcx","%rdx","%r8d") : ("%rdi","%rsi","%edx");
+$code.=<<___;
+.globl rsaz_512_scatter4
+.type rsaz_512_scatter4,\@abi-omnipotent
+.align 16
+rsaz_512_scatter4:
+ leaq ($out,$power,4), $out
+ movl \$8, %r9d
+ jmp .Loop_scatter
+.align 16
+.Loop_scatter:
+ movq ($inp), %rax
+ leaq 8($inp), $inp
+ movl %eax, ($out)
+ shrq \$32, %rax
+ movl %eax, 64($out)
+ leaq 128($out), $out
+ decl %r9d
+ jnz .Loop_scatter
+ ret
+.size rsaz_512_scatter4,.-rsaz_512_scatter4
+
+.globl rsaz_512_gather4
+.type rsaz_512_gather4,\@abi-omnipotent
+.align 16
+rsaz_512_gather4:
+ leaq ($inp,$power,4), $inp
+ movl \$8, %r9d
+ jmp .Loop_gather
+.align 16
+.Loop_gather:
+ movl ($inp), %eax
+ movl 64($inp), %r8d
+ leaq 128($inp), $inp
+ shlq \$32, %r8
+ or %r8, %rax
+ movq %rax, ($out)
+ leaq 8($out), $out
+ decl %r9d
+ jnz .Loop_gather
+ ret
+.size rsaz_512_gather4,.-rsaz_512_gather4
+___
+}
+
+# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
+# CONTEXT *context,DISPATCHER_CONTEXT *disp)
+if ($win64) {
+$rec="%rcx";
+$frame="%rdx";
+$context="%r8";
+$disp="%r9";
+
+$code.=<<___;
+.extern __imp_RtlVirtualUnwind
+.type se_handler,\@abi-omnipotent
+.align 16
+se_handler:
+ push %rsi
+ push %rdi
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+ pushfq
+ sub \$64,%rsp
+
+ mov 120($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
+
+ lea 128+24+48(%rax),%rax
+
+ 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 $disp,%rsi
+ xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
+ mov 8(%rsi),%rdx # arg2, disp->ImageBase
+ mov 0(%rsi),%r8 # arg3, disp->ControlPc
+ mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
+ mov 40(%rsi),%r10 # disp->ContextRecord
+ lea 56(%rsi),%r11 # &disp->HandlerData
+ lea 24(%rsi),%r12 # &disp->EstablisherFrame
+ mov %r10,32(%rsp) # arg5
+ mov %r11,40(%rsp) # arg6
+ mov %r12,48(%rsp) # arg7
+ mov %rcx,56(%rsp) # arg8, (NULL)
+ call *__imp_RtlVirtualUnwind(%rip)
+
+ mov \$1,%eax # ExceptionContinueSearch
+ add \$64,%rsp
+ popfq
+ pop %r15
+ pop %r14
+ pop %r13
+ pop %r12
+ pop %rbp
+ pop %rbx
+ pop %rdi
+ pop %rsi
+ ret
+.size sqr_handler,.-sqr_handler
+
+.section .pdata
+.align 4
+ .rva .LSEH_begin_rsaz_512_sqr
+ .rva .LSEH_end_rsaz_512_sqr
+ .rva .LSEH_info_rsaz_512_sqr
+
+ .rva .LSEH_begin_rsaz_512_mul
+ .rva .LSEH_end_rsaz_512_mul
+ .rva .LSEH_info_rsaz_512_mul
+
+ .rva .LSEH_begin_rsaz_512_mul_gather4
+ .rva .LSEH_end_rsaz_512_mul_gather4
+ .rva .LSEH_info_rsaz_512_mul_gather4
+
+ .rva .LSEH_begin_rsaz_512_mul_scatter4
+ .rva .LSEH_end_rsaz_512_mul_scatter4
+ .rva .LSEH_info_rsaz_512_mul_scatter4
+
+ .rva .LSEH_begin_rsaz_512_mul_by_one
+ .rva .LSEH_end_rsaz_512_mul_by_one
+ .rva .LSEH_info_rsaz_512_mul_by_one
+
+.section .xdata
+.align 8
+.LSEH_info_rsaz_512_sqr:
+ .byte 9,0,0,0
+ .rva se_handler
+ .rva .Lsqr_body,.Lsqr_epilogue # HandlerData[]
+.LSEH_info_rsaz_512_mul:
+ .byte 9,0,0,0
+ .rva se_handler
+ .rva .Lmul_body,.Lmul_epilogue # HandlerData[]
+.LSEH_info_rsaz_512_mul_gather4:
+ .byte 9,0,0,0
+ .rva se_handler
+ .rva .Lmul_gather4_body,.Lmul_gather4_epilogue # HandlerData[]
+.LSEH_info_rsaz_512_mul_scatter4:
+ .byte 9,0,0,0
+ .rva se_handler
+ .rva .Lmul_scatter4_body,.Lmul_scatter4_epilogue # HandlerData[]
+.LSEH_info_rsaz_512_mul_by_one:
+ .byte 9,0,0,0
+ .rva se_handler
+ .rva .Lmul_by_one_body,.Lmul_by_one_epilogue # HandlerData[]
+___
+}
+
+$code =~ s/\`([^\`]*)\`/eval $1/gem;
+print $code;
+close STDOUT;