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-rwxr-xr-xopenssl/crypto/bn/asm/rsaz-avx2.pl1961
1 files changed, 1961 insertions, 0 deletions
diff --git a/openssl/crypto/bn/asm/rsaz-avx2.pl b/openssl/crypto/bn/asm/rsaz-avx2.pl
new file mode 100755
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+++ b/openssl/crypto/bn/asm/rsaz-avx2.pl
@@ -0,0 +1,1961 @@
+#!/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 Corporation, Israel Development Center, Haifa, Israel #
+# (2) University of Haifa, Israel #
+##############################################################################
+# Reference: #
+# [1] S. Gueron, V. Krasnov: "Software Implementation of Modular #
+# Exponentiation, Using Advanced Vector Instructions Architectures", #
+# F. Ozbudak and F. Rodriguez-Henriquez (Eds.): WAIFI 2012, LNCS 7369, #
+# pp. 119?135, 2012. Springer-Verlag Berlin Heidelberg 2012 #
+# [2] S. Gueron: "Efficient Software Implementations of Modular #
+# Exponentiation", Journal of Cryptographic Engineering 2:31-43 (2012). #
+# [3] S. Gueron, V. Krasnov: "Speeding up Big-numbers Squaring",IEEE #
+# Proceedings of 9th International Conference on Information Technology: #
+# New Generations (ITNG 2012), pp.821-823 (2012) #
+# [4] S. Gueron, V. Krasnov: "[PATCH] Efficient and side channel analysis #
+# resistant 1024-bit modular exponentiation, for optimizing RSA2048 #
+# on AVX2 capable x86_64 platforms", #
+# http://rt.openssl.org/Ticket/Display.html?id=2850&user=guest&pass=guest#
+##############################################################################
+#
+# +13% improvement over original submission by <appro@openssl.org>
+#
+# rsa2048 sign/sec OpenSSL 1.0.1 scalar(*) this
+# 2.3GHz Haswell 621 765/+23% 1113/+79%
+# 2.3GHz Broadwell(**) 688 1200(***)/+74% 1120/+63%
+#
+# (*) if system doesn't support AVX2, for reference purposes;
+# (**) scaled to 2.3GHz to simplify comparison;
+# (***) scalar AD*X code is faster than AVX2 and is preferred code
+# path for Broadwell;
+
+$flavour = shift;
+$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 $xlate) or
+die "can't locate x86_64-xlate.pl";
+
+if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
+ =~ /GNU assembler version ([2-9]\.[0-9]+)/) {
+ $avx = ($1>=2.19) + ($1>=2.22);
+ $addx = ($1>=2.23);
+}
+
+if (!$avx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
+ `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
+ $avx = ($1>=2.09) + ($1>=2.10);
+ $addx = ($1>=2.10);
+}
+
+if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
+ `ml64 2>&1` =~ /Version ([0-9]+)\./) {
+ $avx = ($1>=10) + ($1>=11);
+ $addx = ($1>=11);
+}
+
+if (!$avx && `$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
+ $avx = ($ver>=3.0) + ($ver>=3.01);
+ $addx = ($ver>=3.03);
+}
+
+open OUT,"| \"$^X\" $xlate $flavour $output";
+*STDOUT = *OUT;
+
+if ($avx>1) {{{
+{ # void AMS_WW(
+my $rp="%rdi"; # BN_ULONG *rp,
+my $ap="%rsi"; # const BN_ULONG *ap,
+my $np="%rdx"; # const BN_ULONG *np,
+my $n0="%ecx"; # const BN_ULONG n0,
+my $rep="%r8d"; # int repeat);
+
+# The registers that hold the accumulated redundant result
+# The AMM works on 1024 bit operands, and redundant word size is 29
+# Therefore: ceil(1024/29)/4 = 9
+my $ACC0="%ymm0";
+my $ACC1="%ymm1";
+my $ACC2="%ymm2";
+my $ACC3="%ymm3";
+my $ACC4="%ymm4";
+my $ACC5="%ymm5";
+my $ACC6="%ymm6";
+my $ACC7="%ymm7";
+my $ACC8="%ymm8";
+my $ACC9="%ymm9";
+# Registers that hold the broadcasted words of bp, currently used
+my $B1="%ymm10";
+my $B2="%ymm11";
+# Registers that hold the broadcasted words of Y, currently used
+my $Y1="%ymm12";
+my $Y2="%ymm13";
+# Helper registers
+my $TEMP1="%ymm14";
+my $AND_MASK="%ymm15";
+# alu registers that hold the first words of the ACC
+my $r0="%r9";
+my $r1="%r10";
+my $r2="%r11";
+my $r3="%r12";
+
+my $i="%r14d"; # loop counter
+my $tmp = "%r15";
+
+my $FrameSize=32*18+32*8; # place for A^2 and 2*A
+
+my $aap=$r0;
+my $tp0="%rbx";
+my $tp1=$r3;
+my $tpa=$tmp;
+
+$np="%r13"; # reassigned argument
+
+$code.=<<___;
+.text
+
+.globl rsaz_1024_sqr_avx2
+.type rsaz_1024_sqr_avx2,\@function,5
+.align 64
+rsaz_1024_sqr_avx2: # 702 cycles, 14% faster than rsaz_1024_mul_avx2
+ lea (%rsp), %rax
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+ vzeroupper
+___
+$code.=<<___ if ($win64);
+ lea -0xa8(%rsp),%rsp
+ vmovaps %xmm6,-0xd8(%rax)
+ vmovaps %xmm7,-0xc8(%rax)
+ vmovaps %xmm8,-0xb8(%rax)
+ vmovaps %xmm9,-0xa8(%rax)
+ vmovaps %xmm10,-0x98(%rax)
+ vmovaps %xmm11,-0x88(%rax)
+ vmovaps %xmm12,-0x78(%rax)
+ vmovaps %xmm13,-0x68(%rax)
+ vmovaps %xmm14,-0x58(%rax)
+ vmovaps %xmm15,-0x48(%rax)
+.Lsqr_1024_body:
+___
+$code.=<<___;
+ mov %rax,%rbp
+ mov %rdx, $np # reassigned argument
+ sub \$$FrameSize, %rsp
+ mov $np, $tmp
+ sub \$-128, $rp # size optimization
+ sub \$-128, $ap
+ sub \$-128, $np
+
+ and \$4095, $tmp # see if $np crosses page
+ add \$32*10, $tmp
+ shr \$12, $tmp
+ vpxor $ACC9,$ACC9,$ACC9
+ jz .Lsqr_1024_no_n_copy
+
+ # unaligned 256-bit load that crosses page boundary can
+ # cause >2x performance degradation here, so if $np does
+ # cross page boundary, copy it to stack and make sure stack
+ # frame doesn't...
+ sub \$32*10,%rsp
+ vmovdqu 32*0-128($np), $ACC0
+ and \$-2048, %rsp
+ vmovdqu 32*1-128($np), $ACC1
+ vmovdqu 32*2-128($np), $ACC2
+ vmovdqu 32*3-128($np), $ACC3
+ vmovdqu 32*4-128($np), $ACC4
+ vmovdqu 32*5-128($np), $ACC5
+ vmovdqu 32*6-128($np), $ACC6
+ vmovdqu 32*7-128($np), $ACC7
+ vmovdqu 32*8-128($np), $ACC8
+ lea $FrameSize+128(%rsp),$np
+ vmovdqu $ACC0, 32*0-128($np)
+ vmovdqu $ACC1, 32*1-128($np)
+ vmovdqu $ACC2, 32*2-128($np)
+ vmovdqu $ACC3, 32*3-128($np)
+ vmovdqu $ACC4, 32*4-128($np)
+ vmovdqu $ACC5, 32*5-128($np)
+ vmovdqu $ACC6, 32*6-128($np)
+ vmovdqu $ACC7, 32*7-128($np)
+ vmovdqu $ACC8, 32*8-128($np)
+ vmovdqu $ACC9, 32*9-128($np) # $ACC9 is zero
+
+.Lsqr_1024_no_n_copy:
+ and \$-1024, %rsp
+
+ vmovdqu 32*1-128($ap), $ACC1
+ vmovdqu 32*2-128($ap), $ACC2
+ vmovdqu 32*3-128($ap), $ACC3
+ vmovdqu 32*4-128($ap), $ACC4
+ vmovdqu 32*5-128($ap), $ACC5
+ vmovdqu 32*6-128($ap), $ACC6
+ vmovdqu 32*7-128($ap), $ACC7
+ vmovdqu 32*8-128($ap), $ACC8
+
+ lea 192(%rsp), $tp0 # 64+128=192
+ vpbroadcastq .Land_mask(%rip), $AND_MASK
+ jmp .LOOP_GRANDE_SQR_1024
+
+.align 32
+.LOOP_GRANDE_SQR_1024:
+ lea 32*18+128(%rsp), $aap # size optimization
+ lea 448(%rsp), $tp1 # 64+128+256=448
+
+ # the squaring is performed as described in Variant B of
+ # "Speeding up Big-Number Squaring", so start by calculating
+ # the A*2=A+A vector
+ vpaddq $ACC1, $ACC1, $ACC1
+ vpbroadcastq 32*0-128($ap), $B1
+ vpaddq $ACC2, $ACC2, $ACC2
+ vmovdqa $ACC1, 32*0-128($aap)
+ vpaddq $ACC3, $ACC3, $ACC3
+ vmovdqa $ACC2, 32*1-128($aap)
+ vpaddq $ACC4, $ACC4, $ACC4
+ vmovdqa $ACC3, 32*2-128($aap)
+ vpaddq $ACC5, $ACC5, $ACC5
+ vmovdqa $ACC4, 32*3-128($aap)
+ vpaddq $ACC6, $ACC6, $ACC6
+ vmovdqa $ACC5, 32*4-128($aap)
+ vpaddq $ACC7, $ACC7, $ACC7
+ vmovdqa $ACC6, 32*5-128($aap)
+ vpaddq $ACC8, $ACC8, $ACC8
+ vmovdqa $ACC7, 32*6-128($aap)
+ vpxor $ACC9, $ACC9, $ACC9
+ vmovdqa $ACC8, 32*7-128($aap)
+
+ vpmuludq 32*0-128($ap), $B1, $ACC0
+ vpbroadcastq 32*1-128($ap), $B2
+ vmovdqu $ACC9, 32*9-192($tp0) # zero upper half
+ vpmuludq $B1, $ACC1, $ACC1
+ vmovdqu $ACC9, 32*10-448($tp1)
+ vpmuludq $B1, $ACC2, $ACC2
+ vmovdqu $ACC9, 32*11-448($tp1)
+ vpmuludq $B1, $ACC3, $ACC3
+ vmovdqu $ACC9, 32*12-448($tp1)
+ vpmuludq $B1, $ACC4, $ACC4
+ vmovdqu $ACC9, 32*13-448($tp1)
+ vpmuludq $B1, $ACC5, $ACC5
+ vmovdqu $ACC9, 32*14-448($tp1)
+ vpmuludq $B1, $ACC6, $ACC6
+ vmovdqu $ACC9, 32*15-448($tp1)
+ vpmuludq $B1, $ACC7, $ACC7
+ vmovdqu $ACC9, 32*16-448($tp1)
+ vpmuludq $B1, $ACC8, $ACC8
+ vpbroadcastq 32*2-128($ap), $B1
+ vmovdqu $ACC9, 32*17-448($tp1)
+
+ mov $ap, $tpa
+ mov \$4, $i
+ jmp .Lsqr_entry_1024
+___
+$TEMP0=$Y1;
+$TEMP2=$Y2;
+$code.=<<___;
+.align 32
+.LOOP_SQR_1024:
+ vpbroadcastq 32*1-128($tpa), $B2
+ vpmuludq 32*0-128($ap), $B1, $ACC0
+ vpaddq 32*0-192($tp0), $ACC0, $ACC0
+ vpmuludq 32*0-128($aap), $B1, $ACC1
+ vpaddq 32*1-192($tp0), $ACC1, $ACC1
+ vpmuludq 32*1-128($aap), $B1, $ACC2
+ vpaddq 32*2-192($tp0), $ACC2, $ACC2
+ vpmuludq 32*2-128($aap), $B1, $ACC3
+ vpaddq 32*3-192($tp0), $ACC3, $ACC3
+ vpmuludq 32*3-128($aap), $B1, $ACC4
+ vpaddq 32*4-192($tp0), $ACC4, $ACC4
+ vpmuludq 32*4-128($aap), $B1, $ACC5
+ vpaddq 32*5-192($tp0), $ACC5, $ACC5
+ vpmuludq 32*5-128($aap), $B1, $ACC6
+ vpaddq 32*6-192($tp0), $ACC6, $ACC6
+ vpmuludq 32*6-128($aap), $B1, $ACC7
+ vpaddq 32*7-192($tp0), $ACC7, $ACC7
+ vpmuludq 32*7-128($aap), $B1, $ACC8
+ vpbroadcastq 32*2-128($tpa), $B1
+ vpaddq 32*8-192($tp0), $ACC8, $ACC8
+.Lsqr_entry_1024:
+ vmovdqu $ACC0, 32*0-192($tp0)
+ vmovdqu $ACC1, 32*1-192($tp0)
+
+ vpmuludq 32*1-128($ap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC2, $ACC2
+ vpmuludq 32*1-128($aap), $B2, $TEMP1
+ vpaddq $TEMP1, $ACC3, $ACC3
+ vpmuludq 32*2-128($aap), $B2, $TEMP2
+ vpaddq $TEMP2, $ACC4, $ACC4
+ vpmuludq 32*3-128($aap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC5, $ACC5
+ vpmuludq 32*4-128($aap), $B2, $TEMP1
+ vpaddq $TEMP1, $ACC6, $ACC6
+ vpmuludq 32*5-128($aap), $B2, $TEMP2
+ vpaddq $TEMP2, $ACC7, $ACC7
+ vpmuludq 32*6-128($aap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC8, $ACC8
+ vpmuludq 32*7-128($aap), $B2, $ACC0
+ vpbroadcastq 32*3-128($tpa), $B2
+ vpaddq 32*9-192($tp0), $ACC0, $ACC0
+
+ vmovdqu $ACC2, 32*2-192($tp0)
+ vmovdqu $ACC3, 32*3-192($tp0)
+
+ vpmuludq 32*2-128($ap), $B1, $TEMP2
+ vpaddq $TEMP2, $ACC4, $ACC4
+ vpmuludq 32*2-128($aap), $B1, $TEMP0
+ vpaddq $TEMP0, $ACC5, $ACC5
+ vpmuludq 32*3-128($aap), $B1, $TEMP1
+ vpaddq $TEMP1, $ACC6, $ACC6
+ vpmuludq 32*4-128($aap), $B1, $TEMP2
+ vpaddq $TEMP2, $ACC7, $ACC7
+ vpmuludq 32*5-128($aap), $B1, $TEMP0
+ vpaddq $TEMP0, $ACC8, $ACC8
+ vpmuludq 32*6-128($aap), $B1, $TEMP1
+ vpaddq $TEMP1, $ACC0, $ACC0
+ vpmuludq 32*7-128($aap), $B1, $ACC1
+ vpbroadcastq 32*4-128($tpa), $B1
+ vpaddq 32*10-448($tp1), $ACC1, $ACC1
+
+ vmovdqu $ACC4, 32*4-192($tp0)
+ vmovdqu $ACC5, 32*5-192($tp0)
+
+ vpmuludq 32*3-128($ap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC6, $ACC6
+ vpmuludq 32*3-128($aap), $B2, $TEMP1
+ vpaddq $TEMP1, $ACC7, $ACC7
+ vpmuludq 32*4-128($aap), $B2, $TEMP2
+ vpaddq $TEMP2, $ACC8, $ACC8
+ vpmuludq 32*5-128($aap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC0, $ACC0
+ vpmuludq 32*6-128($aap), $B2, $TEMP1
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vpmuludq 32*7-128($aap), $B2, $ACC2
+ vpbroadcastq 32*5-128($tpa), $B2
+ vpaddq 32*11-448($tp1), $ACC2, $ACC2
+
+ vmovdqu $ACC6, 32*6-192($tp0)
+ vmovdqu $ACC7, 32*7-192($tp0)
+
+ vpmuludq 32*4-128($ap), $B1, $TEMP0
+ vpaddq $TEMP0, $ACC8, $ACC8
+ vpmuludq 32*4-128($aap), $B1, $TEMP1
+ vpaddq $TEMP1, $ACC0, $ACC0
+ vpmuludq 32*5-128($aap), $B1, $TEMP2
+ vpaddq $TEMP2, $ACC1, $ACC1
+ vpmuludq 32*6-128($aap), $B1, $TEMP0
+ vpaddq $TEMP0, $ACC2, $ACC2
+ vpmuludq 32*7-128($aap), $B1, $ACC3
+ vpbroadcastq 32*6-128($tpa), $B1
+ vpaddq 32*12-448($tp1), $ACC3, $ACC3
+
+ vmovdqu $ACC8, 32*8-192($tp0)
+ vmovdqu $ACC0, 32*9-192($tp0)
+ lea 8($tp0), $tp0
+
+ vpmuludq 32*5-128($ap), $B2, $TEMP2
+ vpaddq $TEMP2, $ACC1, $ACC1
+ vpmuludq 32*5-128($aap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC2, $ACC2
+ vpmuludq 32*6-128($aap), $B2, $TEMP1
+ vpaddq $TEMP1, $ACC3, $ACC3
+ vpmuludq 32*7-128($aap), $B2, $ACC4
+ vpbroadcastq 32*7-128($tpa), $B2
+ vpaddq 32*13-448($tp1), $ACC4, $ACC4
+
+ vmovdqu $ACC1, 32*10-448($tp1)
+ vmovdqu $ACC2, 32*11-448($tp1)
+
+ vpmuludq 32*6-128($ap), $B1, $TEMP0
+ vpaddq $TEMP0, $ACC3, $ACC3
+ vpmuludq 32*6-128($aap), $B1, $TEMP1
+ vpbroadcastq 32*8-128($tpa), $ACC0 # borrow $ACC0 for $B1
+ vpaddq $TEMP1, $ACC4, $ACC4
+ vpmuludq 32*7-128($aap), $B1, $ACC5
+ vpbroadcastq 32*0+8-128($tpa), $B1 # for next iteration
+ vpaddq 32*14-448($tp1), $ACC5, $ACC5
+
+ vmovdqu $ACC3, 32*12-448($tp1)
+ vmovdqu $ACC4, 32*13-448($tp1)
+ lea 8($tpa), $tpa
+
+ vpmuludq 32*7-128($ap), $B2, $TEMP0
+ vpaddq $TEMP0, $ACC5, $ACC5
+ vpmuludq 32*7-128($aap), $B2, $ACC6
+ vpaddq 32*15-448($tp1), $ACC6, $ACC6
+
+ vpmuludq 32*8-128($ap), $ACC0, $ACC7
+ vmovdqu $ACC5, 32*14-448($tp1)
+ vpaddq 32*16-448($tp1), $ACC7, $ACC7
+ vmovdqu $ACC6, 32*15-448($tp1)
+ vmovdqu $ACC7, 32*16-448($tp1)
+ lea 8($tp1), $tp1
+
+ dec $i
+ jnz .LOOP_SQR_1024
+___
+$ZERO = $ACC9;
+$TEMP0 = $B1;
+$TEMP2 = $B2;
+$TEMP3 = $Y1;
+$TEMP4 = $Y2;
+$code.=<<___;
+ # we need to fix indices 32-39 to avoid overflow
+ vmovdqu 32*8(%rsp), $ACC8 # 32*8-192($tp0),
+ vmovdqu 32*9(%rsp), $ACC1 # 32*9-192($tp0)
+ vmovdqu 32*10(%rsp), $ACC2 # 32*10-192($tp0)
+ lea 192(%rsp), $tp0 # 64+128=192
+
+ vpsrlq \$29, $ACC8, $TEMP1
+ vpand $AND_MASK, $ACC8, $ACC8
+ vpsrlq \$29, $ACC1, $TEMP2
+ vpand $AND_MASK, $ACC1, $ACC1
+
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpxor $ZERO, $ZERO, $ZERO
+ vpermq \$0x93, $TEMP2, $TEMP2
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC8, $ACC8
+ vpblendd \$3, $TEMP2, $ZERO, $TEMP2
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vpaddq $TEMP2, $ACC2, $ACC2
+ vmovdqu $ACC1, 32*9-192($tp0)
+ vmovdqu $ACC2, 32*10-192($tp0)
+
+ mov (%rsp), %rax
+ mov 8(%rsp), $r1
+ mov 16(%rsp), $r2
+ mov 24(%rsp), $r3
+ vmovdqu 32*1(%rsp), $ACC1
+ vmovdqu 32*2-192($tp0), $ACC2
+ vmovdqu 32*3-192($tp0), $ACC3
+ vmovdqu 32*4-192($tp0), $ACC4
+ vmovdqu 32*5-192($tp0), $ACC5
+ vmovdqu 32*6-192($tp0), $ACC6
+ vmovdqu 32*7-192($tp0), $ACC7
+
+ mov %rax, $r0
+ imull $n0, %eax
+ and \$0x1fffffff, %eax
+ vmovd %eax, $Y1
+
+ mov %rax, %rdx
+ imulq -128($np), %rax
+ vpbroadcastq $Y1, $Y1
+ add %rax, $r0
+ mov %rdx, %rax
+ imulq 8-128($np), %rax
+ shr \$29, $r0
+ add %rax, $r1
+ mov %rdx, %rax
+ imulq 16-128($np), %rax
+ add $r0, $r1
+ add %rax, $r2
+ imulq 24-128($np), %rdx
+ add %rdx, $r3
+
+ mov $r1, %rax
+ imull $n0, %eax
+ and \$0x1fffffff, %eax
+
+ mov \$9, $i
+ jmp .LOOP_REDUCE_1024
+
+.align 32
+.LOOP_REDUCE_1024:
+ vmovd %eax, $Y2
+ vpbroadcastq $Y2, $Y2
+
+ vpmuludq 32*1-128($np), $Y1, $TEMP0
+ mov %rax, %rdx
+ imulq -128($np), %rax
+ vpaddq $TEMP0, $ACC1, $ACC1
+ add %rax, $r1
+ vpmuludq 32*2-128($np), $Y1, $TEMP1
+ mov %rdx, %rax
+ imulq 8-128($np), %rax
+ vpaddq $TEMP1, $ACC2, $ACC2
+ vpmuludq 32*3-128($np), $Y1, $TEMP2
+ .byte 0x67
+ add %rax, $r2
+ .byte 0x67
+ mov %rdx, %rax
+ imulq 16-128($np), %rax
+ shr \$29, $r1
+ vpaddq $TEMP2, $ACC3, $ACC3
+ vpmuludq 32*4-128($np), $Y1, $TEMP0
+ add %rax, $r3
+ add $r1, $r2
+ vpaddq $TEMP0, $ACC4, $ACC4
+ vpmuludq 32*5-128($np), $Y1, $TEMP1
+ mov $r2, %rax
+ imull $n0, %eax
+ vpaddq $TEMP1, $ACC5, $ACC5
+ vpmuludq 32*6-128($np), $Y1, $TEMP2
+ and \$0x1fffffff, %eax
+ vpaddq $TEMP2, $ACC6, $ACC6
+ vpmuludq 32*7-128($np), $Y1, $TEMP0
+ vpaddq $TEMP0, $ACC7, $ACC7
+ vpmuludq 32*8-128($np), $Y1, $TEMP1
+ vmovd %eax, $Y1
+ #vmovdqu 32*1-8-128($np), $TEMP2 # moved below
+ vpaddq $TEMP1, $ACC8, $ACC8
+ #vmovdqu 32*2-8-128($np), $TEMP0 # moved below
+ vpbroadcastq $Y1, $Y1
+
+ vpmuludq 32*1-8-128($np), $Y2, $TEMP2 # see above
+ vmovdqu 32*3-8-128($np), $TEMP1
+ mov %rax, %rdx
+ imulq -128($np), %rax
+ vpaddq $TEMP2, $ACC1, $ACC1
+ vpmuludq 32*2-8-128($np), $Y2, $TEMP0 # see above
+ vmovdqu 32*4-8-128($np), $TEMP2
+ add %rax, $r2
+ mov %rdx, %rax
+ imulq 8-128($np), %rax
+ vpaddq $TEMP0, $ACC2, $ACC2
+ add $r3, %rax
+ shr \$29, $r2
+ vpmuludq $Y2, $TEMP1, $TEMP1
+ vmovdqu 32*5-8-128($np), $TEMP0
+ add $r2, %rax
+ vpaddq $TEMP1, $ACC3, $ACC3
+ vpmuludq $Y2, $TEMP2, $TEMP2
+ vmovdqu 32*6-8-128($np), $TEMP1
+ .byte 0x67
+ mov %rax, $r3
+ imull $n0, %eax
+ vpaddq $TEMP2, $ACC4, $ACC4
+ vpmuludq $Y2, $TEMP0, $TEMP0
+ .byte 0xc4,0x41,0x7e,0x6f,0x9d,0x58,0x00,0x00,0x00 # vmovdqu 32*7-8-128($np), $TEMP2
+ and \$0x1fffffff, %eax
+ vpaddq $TEMP0, $ACC5, $ACC5
+ vpmuludq $Y2, $TEMP1, $TEMP1
+ vmovdqu 32*8-8-128($np), $TEMP0
+ vpaddq $TEMP1, $ACC6, $ACC6
+ vpmuludq $Y2, $TEMP2, $TEMP2
+ vmovdqu 32*9-8-128($np), $ACC9
+ vmovd %eax, $ACC0 # borrow ACC0 for Y2
+ imulq -128($np), %rax
+ vpaddq $TEMP2, $ACC7, $ACC7
+ vpmuludq $Y2, $TEMP0, $TEMP0
+ vmovdqu 32*1-16-128($np), $TEMP1
+ vpbroadcastq $ACC0, $ACC0
+ vpaddq $TEMP0, $ACC8, $ACC8
+ vpmuludq $Y2, $ACC9, $ACC9
+ vmovdqu 32*2-16-128($np), $TEMP2
+ add %rax, $r3
+
+___
+($ACC0,$Y2)=($Y2,$ACC0);
+$code.=<<___;
+ vmovdqu 32*1-24-128($np), $ACC0
+ vpmuludq $Y1, $TEMP1, $TEMP1
+ vmovdqu 32*3-16-128($np), $TEMP0
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vpmuludq $Y2, $ACC0, $ACC0
+ vpmuludq $Y1, $TEMP2, $TEMP2
+ .byte 0xc4,0x41,0x7e,0x6f,0xb5,0xf0,0xff,0xff,0xff # vmovdqu 32*4-16-128($np), $TEMP1
+ vpaddq $ACC1, $ACC0, $ACC0
+ vpaddq $TEMP2, $ACC2, $ACC2
+ vpmuludq $Y1, $TEMP0, $TEMP0
+ vmovdqu 32*5-16-128($np), $TEMP2
+ .byte 0x67
+ vmovq $ACC0, %rax
+ vmovdqu $ACC0, (%rsp) # transfer $r0-$r3
+ vpaddq $TEMP0, $ACC3, $ACC3
+ vpmuludq $Y1, $TEMP1, $TEMP1
+ vmovdqu 32*6-16-128($np), $TEMP0
+ vpaddq $TEMP1, $ACC4, $ACC4
+ vpmuludq $Y1, $TEMP2, $TEMP2
+ vmovdqu 32*7-16-128($np), $TEMP1
+ vpaddq $TEMP2, $ACC5, $ACC5
+ vpmuludq $Y1, $TEMP0, $TEMP0
+ vmovdqu 32*8-16-128($np), $TEMP2
+ vpaddq $TEMP0, $ACC6, $ACC6
+ vpmuludq $Y1, $TEMP1, $TEMP1
+ shr \$29, $r3
+ vmovdqu 32*9-16-128($np), $TEMP0
+ add $r3, %rax
+ vpaddq $TEMP1, $ACC7, $ACC7
+ vpmuludq $Y1, $TEMP2, $TEMP2
+ #vmovdqu 32*2-24-128($np), $TEMP1 # moved below
+ mov %rax, $r0
+ imull $n0, %eax
+ vpaddq $TEMP2, $ACC8, $ACC8
+ vpmuludq $Y1, $TEMP0, $TEMP0
+ and \$0x1fffffff, %eax
+ vmovd %eax, $Y1
+ vmovdqu 32*3-24-128($np), $TEMP2
+ .byte 0x67
+ vpaddq $TEMP0, $ACC9, $ACC9
+ vpbroadcastq $Y1, $Y1
+
+ vpmuludq 32*2-24-128($np), $Y2, $TEMP1 # see above
+ vmovdqu 32*4-24-128($np), $TEMP0
+ mov %rax, %rdx
+ imulq -128($np), %rax
+ mov 8(%rsp), $r1
+ vpaddq $TEMP1, $ACC2, $ACC1
+ vpmuludq $Y2, $TEMP2, $TEMP2
+ vmovdqu 32*5-24-128($np), $TEMP1
+ add %rax, $r0
+ mov %rdx, %rax
+ imulq 8-128($np), %rax
+ .byte 0x67
+ shr \$29, $r0
+ mov 16(%rsp), $r2
+ vpaddq $TEMP2, $ACC3, $ACC2
+ vpmuludq $Y2, $TEMP0, $TEMP0
+ vmovdqu 32*6-24-128($np), $TEMP2
+ add %rax, $r1
+ mov %rdx, %rax
+ imulq 16-128($np), %rax
+ vpaddq $TEMP0, $ACC4, $ACC3
+ vpmuludq $Y2, $TEMP1, $TEMP1
+ vmovdqu 32*7-24-128($np), $TEMP0
+ imulq 24-128($np), %rdx # future $r3
+ add %rax, $r2
+ lea ($r0,$r1), %rax
+ vpaddq $TEMP1, $ACC5, $ACC4
+ vpmuludq $Y2, $TEMP2, $TEMP2
+ vmovdqu 32*8-24-128($np), $TEMP1
+ mov %rax, $r1
+ imull $n0, %eax
+ vpmuludq $Y2, $TEMP0, $TEMP0
+ vpaddq $TEMP2, $ACC6, $ACC5
+ vmovdqu 32*9-24-128($np), $TEMP2
+ and \$0x1fffffff, %eax
+ vpaddq $TEMP0, $ACC7, $ACC6
+ vpmuludq $Y2, $TEMP1, $TEMP1
+ add 24(%rsp), %rdx
+ vpaddq $TEMP1, $ACC8, $ACC7
+ vpmuludq $Y2, $TEMP2, $TEMP2
+ vpaddq $TEMP2, $ACC9, $ACC8
+ vmovq $r3, $ACC9
+ mov %rdx, $r3
+
+ dec $i
+ jnz .LOOP_REDUCE_1024
+___
+($ACC0,$Y2)=($Y2,$ACC0);
+$code.=<<___;
+ lea 448(%rsp), $tp1 # size optimization
+ vpaddq $ACC9, $Y2, $ACC0
+ vpxor $ZERO, $ZERO, $ZERO
+
+ vpaddq 32*9-192($tp0), $ACC0, $ACC0
+ vpaddq 32*10-448($tp1), $ACC1, $ACC1
+ vpaddq 32*11-448($tp1), $ACC2, $ACC2
+ vpaddq 32*12-448($tp1), $ACC3, $ACC3
+ vpaddq 32*13-448($tp1), $ACC4, $ACC4
+ vpaddq 32*14-448($tp1), $ACC5, $ACC5
+ vpaddq 32*15-448($tp1), $ACC6, $ACC6
+ vpaddq 32*16-448($tp1), $ACC7, $ACC7
+ vpaddq 32*17-448($tp1), $ACC8, $ACC8
+
+ vpsrlq \$29, $ACC0, $TEMP1
+ vpand $AND_MASK, $ACC0, $ACC0
+ vpsrlq \$29, $ACC1, $TEMP2
+ vpand $AND_MASK, $ACC1, $ACC1
+ vpsrlq \$29, $ACC2, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC2, $ACC2
+ vpsrlq \$29, $ACC3, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC3, $ACC3
+ vpermq \$0x93, $TEMP3, $TEMP3
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP4, $TEMP4
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC0, $ACC0
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC2, $ACC2
+ vpblendd \$3, $TEMP4, $ZERO, $TEMP4
+ vpaddq $TEMP3, $ACC3, $ACC3
+ vpaddq $TEMP4, $ACC4, $ACC4
+
+ vpsrlq \$29, $ACC0, $TEMP1
+ vpand $AND_MASK, $ACC0, $ACC0
+ vpsrlq \$29, $ACC1, $TEMP2
+ vpand $AND_MASK, $ACC1, $ACC1
+ vpsrlq \$29, $ACC2, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC2, $ACC2
+ vpsrlq \$29, $ACC3, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC3, $ACC3
+ vpermq \$0x93, $TEMP3, $TEMP3
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP4, $TEMP4
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC0, $ACC0
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vmovdqu $ACC0, 32*0-128($rp)
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC2, $ACC2
+ vmovdqu $ACC1, 32*1-128($rp)
+ vpblendd \$3, $TEMP4, $ZERO, $TEMP4
+ vpaddq $TEMP3, $ACC3, $ACC3
+ vmovdqu $ACC2, 32*2-128($rp)
+ vpaddq $TEMP4, $ACC4, $ACC4
+ vmovdqu $ACC3, 32*3-128($rp)
+___
+$TEMP5=$ACC0;
+$code.=<<___;
+ vpsrlq \$29, $ACC4, $TEMP1
+ vpand $AND_MASK, $ACC4, $ACC4
+ vpsrlq \$29, $ACC5, $TEMP2
+ vpand $AND_MASK, $ACC5, $ACC5
+ vpsrlq \$29, $ACC6, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC6, $ACC6
+ vpsrlq \$29, $ACC7, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC7, $ACC7
+ vpsrlq \$29, $ACC8, $TEMP5
+ vpermq \$0x93, $TEMP3, $TEMP3
+ vpand $AND_MASK, $ACC8, $ACC8
+ vpermq \$0x93, $TEMP4, $TEMP4
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP5, $TEMP5
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC4, $ACC4
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC5, $ACC5
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC6, $ACC6
+ vpblendd \$3, $TEMP4, $TEMP5, $TEMP4
+ vpaddq $TEMP3, $ACC7, $ACC7
+ vpaddq $TEMP4, $ACC8, $ACC8
+
+ vpsrlq \$29, $ACC4, $TEMP1
+ vpand $AND_MASK, $ACC4, $ACC4
+ vpsrlq \$29, $ACC5, $TEMP2
+ vpand $AND_MASK, $ACC5, $ACC5
+ vpsrlq \$29, $ACC6, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC6, $ACC6
+ vpsrlq \$29, $ACC7, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC7, $ACC7
+ vpsrlq \$29, $ACC8, $TEMP5
+ vpermq \$0x93, $TEMP3, $TEMP3
+ vpand $AND_MASK, $ACC8, $ACC8
+ vpermq \$0x93, $TEMP4, $TEMP4
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP5, $TEMP5
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC4, $ACC4
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC5, $ACC5
+ vmovdqu $ACC4, 32*4-128($rp)
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC6, $ACC6
+ vmovdqu $ACC5, 32*5-128($rp)
+ vpblendd \$3, $TEMP4, $TEMP5, $TEMP4
+ vpaddq $TEMP3, $ACC7, $ACC7
+ vmovdqu $ACC6, 32*6-128($rp)
+ vpaddq $TEMP4, $ACC8, $ACC8
+ vmovdqu $ACC7, 32*7-128($rp)
+ vmovdqu $ACC8, 32*8-128($rp)
+
+ mov $rp, $ap
+ dec $rep
+ jne .LOOP_GRANDE_SQR_1024
+
+ vzeroall
+ mov %rbp, %rax
+___
+$code.=<<___ if ($win64);
+ movaps -0xd8(%rax),%xmm6
+ movaps -0xc8(%rax),%xmm7
+ movaps -0xb8(%rax),%xmm8
+ movaps -0xa8(%rax),%xmm9
+ movaps -0x98(%rax),%xmm10
+ movaps -0x88(%rax),%xmm11
+ movaps -0x78(%rax),%xmm12
+ movaps -0x68(%rax),%xmm13
+ movaps -0x58(%rax),%xmm14
+ movaps -0x48(%rax),%xmm15
+___
+$code.=<<___;
+ mov -48(%rax),%r15
+ mov -40(%rax),%r14
+ mov -32(%rax),%r13
+ mov -24(%rax),%r12
+ mov -16(%rax),%rbp
+ mov -8(%rax),%rbx
+ lea (%rax),%rsp # restore %rsp
+.Lsqr_1024_epilogue:
+ ret
+.size rsaz_1024_sqr_avx2,.-rsaz_1024_sqr_avx2
+___
+}
+
+{ # void AMM_WW(
+my $rp="%rdi"; # BN_ULONG *rp,
+my $ap="%rsi"; # const BN_ULONG *ap,
+my $bp="%rdx"; # const BN_ULONG *bp,
+my $np="%rcx"; # const BN_ULONG *np,
+my $n0="%r8d"; # unsigned int n0);
+
+# The registers that hold the accumulated redundant result
+# The AMM works on 1024 bit operands, and redundant word size is 29
+# Therefore: ceil(1024/29)/4 = 9
+my $ACC0="%ymm0";
+my $ACC1="%ymm1";
+my $ACC2="%ymm2";
+my $ACC3="%ymm3";
+my $ACC4="%ymm4";
+my $ACC5="%ymm5";
+my $ACC6="%ymm6";
+my $ACC7="%ymm7";
+my $ACC8="%ymm8";
+my $ACC9="%ymm9";
+
+# Registers that hold the broadcasted words of multiplier, currently used
+my $Bi="%ymm10";
+my $Yi="%ymm11";
+
+# Helper registers
+my $TEMP0=$ACC0;
+my $TEMP1="%ymm12";
+my $TEMP2="%ymm13";
+my $ZERO="%ymm14";
+my $AND_MASK="%ymm15";
+
+# alu registers that hold the first words of the ACC
+my $r0="%r9";
+my $r1="%r10";
+my $r2="%r11";
+my $r3="%r12";
+
+my $i="%r14d";
+my $tmp="%r15";
+
+$bp="%r13"; # reassigned argument
+
+$code.=<<___;
+.globl rsaz_1024_mul_avx2
+.type rsaz_1024_mul_avx2,\@function,5
+.align 64
+rsaz_1024_mul_avx2:
+ lea (%rsp), %rax
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+___
+$code.=<<___ if ($win64);
+ vzeroupper
+ lea -0xa8(%rsp),%rsp
+ vmovaps %xmm6,-0xd8(%rax)
+ vmovaps %xmm7,-0xc8(%rax)
+ vmovaps %xmm8,-0xb8(%rax)
+ vmovaps %xmm9,-0xa8(%rax)
+ vmovaps %xmm10,-0x98(%rax)
+ vmovaps %xmm11,-0x88(%rax)
+ vmovaps %xmm12,-0x78(%rax)
+ vmovaps %xmm13,-0x68(%rax)
+ vmovaps %xmm14,-0x58(%rax)
+ vmovaps %xmm15,-0x48(%rax)
+.Lmul_1024_body:
+___
+$code.=<<___;
+ mov %rax,%rbp
+ vzeroall
+ mov %rdx, $bp # reassigned argument
+ sub \$64,%rsp
+
+ # unaligned 256-bit load that crosses page boundary can
+ # cause severe performance degradation here, so if $ap does
+ # cross page boundary, swap it with $bp [meaning that caller
+ # is advised to lay down $ap and $bp next to each other, so
+ # that only one can cross page boundary].
+ .byte 0x67,0x67
+ mov $ap, $tmp
+ and \$4095, $tmp
+ add \$32*10, $tmp
+ shr \$12, $tmp
+ mov $ap, $tmp
+ cmovnz $bp, $ap
+ cmovnz $tmp, $bp
+
+ mov $np, $tmp
+ sub \$-128,$ap # size optimization
+ sub \$-128,$np
+ sub \$-128,$rp
+
+ and \$4095, $tmp # see if $np crosses page
+ add \$32*10, $tmp
+ .byte 0x67,0x67
+ shr \$12, $tmp
+ jz .Lmul_1024_no_n_copy
+
+ # unaligned 256-bit load that crosses page boundary can
+ # cause severe performance degradation here, so if $np does
+ # cross page boundary, copy it to stack and make sure stack
+ # frame doesn't...
+ sub \$32*10,%rsp
+ vmovdqu 32*0-128($np), $ACC0
+ and \$-512, %rsp
+ vmovdqu 32*1-128($np), $ACC1
+ vmovdqu 32*2-128($np), $ACC2
+ vmovdqu 32*3-128($np), $ACC3
+ vmovdqu 32*4-128($np), $ACC4
+ vmovdqu 32*5-128($np), $ACC5
+ vmovdqu 32*6-128($np), $ACC6
+ vmovdqu 32*7-128($np), $ACC7
+ vmovdqu 32*8-128($np), $ACC8
+ lea 64+128(%rsp),$np
+ vmovdqu $ACC0, 32*0-128($np)
+ vpxor $ACC0, $ACC0, $ACC0
+ vmovdqu $ACC1, 32*1-128($np)
+ vpxor $ACC1, $ACC1, $ACC1
+ vmovdqu $ACC2, 32*2-128($np)
+ vpxor $ACC2, $ACC2, $ACC2
+ vmovdqu $ACC3, 32*3-128($np)
+ vpxor $ACC3, $ACC3, $ACC3
+ vmovdqu $ACC4, 32*4-128($np)
+ vpxor $ACC4, $ACC4, $ACC4
+ vmovdqu $ACC5, 32*5-128($np)
+ vpxor $ACC5, $ACC5, $ACC5
+ vmovdqu $ACC6, 32*6-128($np)
+ vpxor $ACC6, $ACC6, $ACC6
+ vmovdqu $ACC7, 32*7-128($np)
+ vpxor $ACC7, $ACC7, $ACC7
+ vmovdqu $ACC8, 32*8-128($np)
+ vmovdqa $ACC0, $ACC8
+ vmovdqu $ACC9, 32*9-128($np) # $ACC9 is zero after vzeroall
+.Lmul_1024_no_n_copy:
+ and \$-64,%rsp
+
+ mov ($bp), %rbx
+ vpbroadcastq ($bp), $Bi
+ vmovdqu $ACC0, (%rsp) # clear top of stack
+ xor $r0, $r0
+ .byte 0x67
+ xor $r1, $r1
+ xor $r2, $r2
+ xor $r3, $r3
+
+ vmovdqu .Land_mask(%rip), $AND_MASK
+ mov \$9, $i
+ vmovdqu $ACC9, 32*9-128($rp) # $ACC9 is zero after vzeroall
+ jmp .Loop_mul_1024
+
+.align 32
+.Loop_mul_1024:
+ vpsrlq \$29, $ACC3, $ACC9 # correct $ACC3(*)
+ mov %rbx, %rax
+ imulq -128($ap), %rax
+ add $r0, %rax
+ mov %rbx, $r1
+ imulq 8-128($ap), $r1
+ add 8(%rsp), $r1
+
+ mov %rax, $r0
+ imull $n0, %eax
+ and \$0x1fffffff, %eax
+
+ mov %rbx, $r2
+ imulq 16-128($ap), $r2
+ add 16(%rsp), $r2
+
+ mov %rbx, $r3
+ imulq 24-128($ap), $r3
+ add 24(%rsp), $r3
+ vpmuludq 32*1-128($ap),$Bi,$TEMP0
+ vmovd %eax, $Yi
+ vpaddq $TEMP0,$ACC1,$ACC1
+ vpmuludq 32*2-128($ap),$Bi,$TEMP1
+ vpbroadcastq $Yi, $Yi
+ vpaddq $TEMP1,$ACC2,$ACC2
+ vpmuludq 32*3-128($ap),$Bi,$TEMP2
+ vpand $AND_MASK, $ACC3, $ACC3 # correct $ACC3
+ vpaddq $TEMP2,$ACC3,$ACC3
+ vpmuludq 32*4-128($ap),$Bi,$TEMP0
+ vpaddq $TEMP0,$ACC4,$ACC4
+ vpmuludq 32*5-128($ap),$Bi,$TEMP1
+ vpaddq $TEMP1,$ACC5,$ACC5
+ vpmuludq 32*6-128($ap),$Bi,$TEMP2
+ vpaddq $TEMP2,$ACC6,$ACC6
+ vpmuludq 32*7-128($ap),$Bi,$TEMP0
+ vpermq \$0x93, $ACC9, $ACC9 # correct $ACC3
+ vpaddq $TEMP0,$ACC7,$ACC7
+ vpmuludq 32*8-128($ap),$Bi,$TEMP1
+ vpbroadcastq 8($bp), $Bi
+ vpaddq $TEMP1,$ACC8,$ACC8
+
+ mov %rax,%rdx
+ imulq -128($np),%rax
+ add %rax,$r0
+ mov %rdx,%rax
+ imulq 8-128($np),%rax
+ add %rax,$r1
+ mov %rdx,%rax
+ imulq 16-128($np),%rax
+ add %rax,$r2
+ shr \$29, $r0
+ imulq 24-128($np),%rdx
+ add %rdx,$r3
+ add $r0, $r1
+
+ vpmuludq 32*1-128($np),$Yi,$TEMP2
+ vmovq $Bi, %rbx
+ vpaddq $TEMP2,$ACC1,$ACC1
+ vpmuludq 32*2-128($np),$Yi,$TEMP0
+ vpaddq $TEMP0,$ACC2,$ACC2
+ vpmuludq 32*3-128($np),$Yi,$TEMP1
+ vpaddq $TEMP1,$ACC3,$ACC3
+ vpmuludq 32*4-128($np),$Yi,$TEMP2
+ vpaddq $TEMP2,$ACC4,$ACC4
+ vpmuludq 32*5-128($np),$Yi,$TEMP0
+ vpaddq $TEMP0,$ACC5,$ACC5
+ vpmuludq 32*6-128($np),$Yi,$TEMP1
+ vpaddq $TEMP1,$ACC6,$ACC6
+ vpmuludq 32*7-128($np),$Yi,$TEMP2
+ vpblendd \$3, $ZERO, $ACC9, $ACC9 # correct $ACC3
+ vpaddq $TEMP2,$ACC7,$ACC7
+ vpmuludq 32*8-128($np),$Yi,$TEMP0
+ vpaddq $ACC9, $ACC3, $ACC3 # correct $ACC3
+ vpaddq $TEMP0,$ACC8,$ACC8
+
+ mov %rbx, %rax
+ imulq -128($ap),%rax
+ add %rax,$r1
+ vmovdqu -8+32*1-128($ap),$TEMP1
+ mov %rbx, %rax
+ imulq 8-128($ap),%rax
+ add %rax,$r2
+ vmovdqu -8+32*2-128($ap),$TEMP2
+
+ mov $r1, %rax
+ imull $n0, %eax
+ and \$0x1fffffff, %eax
+
+ imulq 16-128($ap),%rbx
+ add %rbx,$r3
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vmovd %eax, $Yi
+ vmovdqu -8+32*3-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC1,$ACC1
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vpbroadcastq $Yi, $Yi
+ vmovdqu -8+32*4-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC2,$ACC2
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovdqu -8+32*5-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC3,$ACC3
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vmovdqu -8+32*6-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC4,$ACC4
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vmovdqu -8+32*7-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC5,$ACC5
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovdqu -8+32*8-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC6,$ACC6
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vmovdqu -8+32*9-128($ap),$ACC9
+ vpaddq $TEMP1,$ACC7,$ACC7
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vpaddq $TEMP2,$ACC8,$ACC8
+ vpmuludq $Bi,$ACC9,$ACC9
+ vpbroadcastq 16($bp), $Bi
+
+ mov %rax,%rdx
+ imulq -128($np),%rax
+ add %rax,$r1
+ vmovdqu -8+32*1-128($np),$TEMP0
+ mov %rdx,%rax
+ imulq 8-128($np),%rax
+ add %rax,$r2
+ vmovdqu -8+32*2-128($np),$TEMP1
+ shr \$29, $r1
+ imulq 16-128($np),%rdx
+ add %rdx,$r3
+ add $r1, $r2
+
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovq $Bi, %rbx
+ vmovdqu -8+32*3-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC1,$ACC1
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu -8+32*4-128($np),$TEMP0
+ vpaddq $TEMP1,$ACC2,$ACC2
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -8+32*5-128($np),$TEMP1
+ vpaddq $TEMP2,$ACC3,$ACC3
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovdqu -8+32*6-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC4,$ACC4
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu -8+32*7-128($np),$TEMP0
+ vpaddq $TEMP1,$ACC5,$ACC5
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -8+32*8-128($np),$TEMP1
+ vpaddq $TEMP2,$ACC6,$ACC6
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovdqu -8+32*9-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC7,$ACC7
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vpaddq $TEMP1,$ACC8,$ACC8
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vpaddq $TEMP2,$ACC9,$ACC9
+
+ vmovdqu -16+32*1-128($ap),$TEMP0
+ mov %rbx,%rax
+ imulq -128($ap),%rax
+ add $r2,%rax
+
+ vmovdqu -16+32*2-128($ap),$TEMP1
+ mov %rax,$r2
+ imull $n0, %eax
+ and \$0x1fffffff, %eax
+
+ imulq 8-128($ap),%rbx
+ add %rbx,$r3
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovd %eax, $Yi
+ vmovdqu -16+32*3-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC1,$ACC1
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vpbroadcastq $Yi, $Yi
+ vmovdqu -16+32*4-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC2,$ACC2
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vmovdqu -16+32*5-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC3,$ACC3
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovdqu -16+32*6-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC4,$ACC4
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vmovdqu -16+32*7-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC5,$ACC5
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vmovdqu -16+32*8-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC6,$ACC6
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovdqu -16+32*9-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC7,$ACC7
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vpaddq $TEMP1,$ACC8,$ACC8
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vpbroadcastq 24($bp), $Bi
+ vpaddq $TEMP2,$ACC9,$ACC9
+
+ vmovdqu -16+32*1-128($np),$TEMP0
+ mov %rax,%rdx
+ imulq -128($np),%rax
+ add %rax,$r2
+ vmovdqu -16+32*2-128($np),$TEMP1
+ imulq 8-128($np),%rdx
+ add %rdx,$r3
+ shr \$29, $r2
+
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovq $Bi, %rbx
+ vmovdqu -16+32*3-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC1,$ACC1
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu -16+32*4-128($np),$TEMP0
+ vpaddq $TEMP1,$ACC2,$ACC2
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -16+32*5-128($np),$TEMP1
+ vpaddq $TEMP2,$ACC3,$ACC3
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovdqu -16+32*6-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC4,$ACC4
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu -16+32*7-128($np),$TEMP0
+ vpaddq $TEMP1,$ACC5,$ACC5
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -16+32*8-128($np),$TEMP1
+ vpaddq $TEMP2,$ACC6,$ACC6
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovdqu -16+32*9-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC7,$ACC7
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu -24+32*1-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC8,$ACC8
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -24+32*2-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC9,$ACC9
+
+ add $r2, $r3
+ imulq -128($ap),%rbx
+ add %rbx,$r3
+
+ mov $r3, %rax
+ imull $n0, %eax
+ and \$0x1fffffff, %eax
+
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovd %eax, $Yi
+ vmovdqu -24+32*3-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC1,$ACC1
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vpbroadcastq $Yi, $Yi
+ vmovdqu -24+32*4-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC2,$ACC2
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vmovdqu -24+32*5-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC3,$ACC3
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovdqu -24+32*6-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC4,$ACC4
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vmovdqu -24+32*7-128($ap),$TEMP0
+ vpaddq $TEMP1,$ACC5,$ACC5
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vmovdqu -24+32*8-128($ap),$TEMP1
+ vpaddq $TEMP2,$ACC6,$ACC6
+ vpmuludq $Bi,$TEMP0,$TEMP0
+ vmovdqu -24+32*9-128($ap),$TEMP2
+ vpaddq $TEMP0,$ACC7,$ACC7
+ vpmuludq $Bi,$TEMP1,$TEMP1
+ vpaddq $TEMP1,$ACC8,$ACC8
+ vpmuludq $Bi,$TEMP2,$TEMP2
+ vpbroadcastq 32($bp), $Bi
+ vpaddq $TEMP2,$ACC9,$ACC9
+ add \$32, $bp # $bp++
+
+ vmovdqu -24+32*1-128($np),$TEMP0
+ imulq -128($np),%rax
+ add %rax,$r3
+ shr \$29, $r3
+
+ vmovdqu -24+32*2-128($np),$TEMP1
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovq $Bi, %rbx
+ vmovdqu -24+32*3-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC1,$ACC0 # $ACC0==$TEMP0
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu $ACC0, (%rsp) # transfer $r0-$r3
+ vpaddq $TEMP1,$ACC2,$ACC1
+ vmovdqu -24+32*4-128($np),$TEMP0
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -24+32*5-128($np),$TEMP1
+ vpaddq $TEMP2,$ACC3,$ACC2
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovdqu -24+32*6-128($np),$TEMP2
+ vpaddq $TEMP0,$ACC4,$ACC3
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ vmovdqu -24+32*7-128($np),$TEMP0
+ vpaddq $TEMP1,$ACC5,$ACC4
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovdqu -24+32*8-128($np),$TEMP1
+ vpaddq $TEMP2,$ACC6,$ACC5
+ vpmuludq $Yi,$TEMP0,$TEMP0
+ vmovdqu -24+32*9-128($np),$TEMP2
+ mov $r3, $r0
+ vpaddq $TEMP0,$ACC7,$ACC6
+ vpmuludq $Yi,$TEMP1,$TEMP1
+ add (%rsp), $r0
+ vpaddq $TEMP1,$ACC8,$ACC7
+ vpmuludq $Yi,$TEMP2,$TEMP2
+ vmovq $r3, $TEMP1
+ vpaddq $TEMP2,$ACC9,$ACC8
+
+ dec $i
+ jnz .Loop_mul_1024
+___
+
+# (*) Original implementation was correcting ACC1-ACC3 for overflow
+# after 7 loop runs, or after 28 iterations, or 56 additions.
+# But as we underutilize resources, it's possible to correct in
+# each iteration with marginal performance loss. But then, as
+# we do it in each iteration, we can correct less digits, and
+# avoid performance penalties completely. Also note that we
+# correct only three digits out of four. This works because
+# most significant digit is subjected to less additions.
+
+$TEMP0 = $ACC9;
+$TEMP3 = $Bi;
+$TEMP4 = $Yi;
+$code.=<<___;
+ vpermq \$0, $AND_MASK, $AND_MASK
+ vpaddq (%rsp), $TEMP1, $ACC0
+
+ vpsrlq \$29, $ACC0, $TEMP1
+ vpand $AND_MASK, $ACC0, $ACC0
+ vpsrlq \$29, $ACC1, $TEMP2
+ vpand $AND_MASK, $ACC1, $ACC1
+ vpsrlq \$29, $ACC2, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC2, $ACC2
+ vpsrlq \$29, $ACC3, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC3, $ACC3
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP3, $TEMP3
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpermq \$0x93, $TEMP4, $TEMP4
+ vpaddq $TEMP0, $ACC0, $ACC0
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC2, $ACC2
+ vpblendd \$3, $TEMP4, $ZERO, $TEMP4
+ vpaddq $TEMP3, $ACC3, $ACC3
+ vpaddq $TEMP4, $ACC4, $ACC4
+
+ vpsrlq \$29, $ACC0, $TEMP1
+ vpand $AND_MASK, $ACC0, $ACC0
+ vpsrlq \$29, $ACC1, $TEMP2
+ vpand $AND_MASK, $ACC1, $ACC1
+ vpsrlq \$29, $ACC2, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC2, $ACC2
+ vpsrlq \$29, $ACC3, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC3, $ACC3
+ vpermq \$0x93, $TEMP3, $TEMP3
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP4, $TEMP4
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC0, $ACC0
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC1, $ACC1
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC2, $ACC2
+ vpblendd \$3, $TEMP4, $ZERO, $TEMP4
+ vpaddq $TEMP3, $ACC3, $ACC3
+ vpaddq $TEMP4, $ACC4, $ACC4
+
+ vmovdqu $ACC0, 0-128($rp)
+ vmovdqu $ACC1, 32-128($rp)
+ vmovdqu $ACC2, 64-128($rp)
+ vmovdqu $ACC3, 96-128($rp)
+___
+
+$TEMP5=$ACC0;
+$code.=<<___;
+ vpsrlq \$29, $ACC4, $TEMP1
+ vpand $AND_MASK, $ACC4, $ACC4
+ vpsrlq \$29, $ACC5, $TEMP2
+ vpand $AND_MASK, $ACC5, $ACC5
+ vpsrlq \$29, $ACC6, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC6, $ACC6
+ vpsrlq \$29, $ACC7, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC7, $ACC7
+ vpsrlq \$29, $ACC8, $TEMP5
+ vpermq \$0x93, $TEMP3, $TEMP3
+ vpand $AND_MASK, $ACC8, $ACC8
+ vpermq \$0x93, $TEMP4, $TEMP4
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP5, $TEMP5
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC4, $ACC4
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC5, $ACC5
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC6, $ACC6
+ vpblendd \$3, $TEMP4, $TEMP5, $TEMP4
+ vpaddq $TEMP3, $ACC7, $ACC7
+ vpaddq $TEMP4, $ACC8, $ACC8
+
+ vpsrlq \$29, $ACC4, $TEMP1
+ vpand $AND_MASK, $ACC4, $ACC4
+ vpsrlq \$29, $ACC5, $TEMP2
+ vpand $AND_MASK, $ACC5, $ACC5
+ vpsrlq \$29, $ACC6, $TEMP3
+ vpermq \$0x93, $TEMP1, $TEMP1
+ vpand $AND_MASK, $ACC6, $ACC6
+ vpsrlq \$29, $ACC7, $TEMP4
+ vpermq \$0x93, $TEMP2, $TEMP2
+ vpand $AND_MASK, $ACC7, $ACC7
+ vpsrlq \$29, $ACC8, $TEMP5
+ vpermq \$0x93, $TEMP3, $TEMP3
+ vpand $AND_MASK, $ACC8, $ACC8
+ vpermq \$0x93, $TEMP4, $TEMP4
+
+ vpblendd \$3, $ZERO, $TEMP1, $TEMP0
+ vpermq \$0x93, $TEMP5, $TEMP5
+ vpblendd \$3, $TEMP1, $TEMP2, $TEMP1
+ vpaddq $TEMP0, $ACC4, $ACC4
+ vpblendd \$3, $TEMP2, $TEMP3, $TEMP2
+ vpaddq $TEMP1, $ACC5, $ACC5
+ vpblendd \$3, $TEMP3, $TEMP4, $TEMP3
+ vpaddq $TEMP2, $ACC6, $ACC6
+ vpblendd \$3, $TEMP4, $TEMP5, $TEMP4
+ vpaddq $TEMP3, $ACC7, $ACC7
+ vpaddq $TEMP4, $ACC8, $ACC8
+
+ vmovdqu $ACC4, 128-128($rp)
+ vmovdqu $ACC5, 160-128($rp)
+ vmovdqu $ACC6, 192-128($rp)
+ vmovdqu $ACC7, 224-128($rp)
+ vmovdqu $ACC8, 256-128($rp)
+ vzeroupper
+
+ mov %rbp, %rax
+___
+$code.=<<___ if ($win64);
+ movaps -0xd8(%rax),%xmm6
+ movaps -0xc8(%rax),%xmm7
+ movaps -0xb8(%rax),%xmm8
+ movaps -0xa8(%rax),%xmm9
+ movaps -0x98(%rax),%xmm10
+ movaps -0x88(%rax),%xmm11
+ movaps -0x78(%rax),%xmm12
+ movaps -0x68(%rax),%xmm13
+ movaps -0x58(%rax),%xmm14
+ movaps -0x48(%rax),%xmm15
+___
+$code.=<<___;
+ mov -48(%rax),%r15
+ mov -40(%rax),%r14
+ mov -32(%rax),%r13
+ mov -24(%rax),%r12
+ mov -16(%rax),%rbp
+ mov -8(%rax),%rbx
+ lea (%rax),%rsp # restore %rsp
+.Lmul_1024_epilogue:
+ ret
+.size rsaz_1024_mul_avx2,.-rsaz_1024_mul_avx2
+___
+}
+{
+my ($out,$inp) = $win64 ? ("%rcx","%rdx") : ("%rdi","%rsi");
+my @T = map("%r$_",(8..11));
+
+$code.=<<___;
+.globl rsaz_1024_red2norm_avx2
+.type rsaz_1024_red2norm_avx2,\@abi-omnipotent
+.align 32
+rsaz_1024_red2norm_avx2:
+ sub \$-128,$inp # size optimization
+ xor %rax,%rax
+___
+
+for ($j=0,$i=0; $i<16; $i++) {
+ my $k=0;
+ while (29*$j<64*($i+1)) { # load data till boundary
+ $code.=" mov `8*$j-128`($inp), @T[0]\n";
+ $j++; $k++; push(@T,shift(@T));
+ }
+ $l=$k;
+ while ($k>1) { # shift loaded data but last value
+ $code.=" shl \$`29*($j-$k)`,@T[-$k]\n";
+ $k--;
+ }
+ $code.=<<___; # shift last value
+ mov @T[-1], @T[0]
+ shl \$`29*($j-1)`, @T[-1]
+ shr \$`-29*($j-1)`, @T[0]
+___
+ while ($l) { # accumulate all values
+ $code.=" add @T[-$l], %rax\n";
+ $l--;
+ }
+ $code.=<<___;
+ adc \$0, @T[0] # consume eventual carry
+ mov %rax, 8*$i($out)
+ mov @T[0], %rax
+___
+ push(@T,shift(@T));
+}
+$code.=<<___;
+ ret
+.size rsaz_1024_red2norm_avx2,.-rsaz_1024_red2norm_avx2
+
+.globl rsaz_1024_norm2red_avx2
+.type rsaz_1024_norm2red_avx2,\@abi-omnipotent
+.align 32
+rsaz_1024_norm2red_avx2:
+ sub \$-128,$out # size optimization
+ mov ($inp),@T[0]
+ mov \$0x1fffffff,%eax
+___
+for ($j=0,$i=0; $i<16; $i++) {
+ $code.=" mov `8*($i+1)`($inp),@T[1]\n" if ($i<15);
+ $code.=" xor @T[1],@T[1]\n" if ($i==15);
+ my $k=1;
+ while (29*($j+1)<64*($i+1)) {
+ $code.=<<___;
+ mov @T[0],@T[-$k]
+ shr \$`29*$j`,@T[-$k]
+ and %rax,@T[-$k] # &0x1fffffff
+ mov @T[-$k],`8*$j-128`($out)
+___
+ $j++; $k++;
+ }
+ $code.=<<___;
+ shrd \$`29*$j`,@T[1],@T[0]
+ and %rax,@T[0]
+ mov @T[0],`8*$j-128`($out)
+___
+ $j++;
+ push(@T,shift(@T));
+}
+$code.=<<___;
+ mov @T[0],`8*$j-128`($out) # zero
+ mov @T[0],`8*($j+1)-128`($out)
+ mov @T[0],`8*($j+2)-128`($out)
+ mov @T[0],`8*($j+3)-128`($out)
+ ret
+.size rsaz_1024_norm2red_avx2,.-rsaz_1024_norm2red_avx2
+___
+}
+{
+my ($out,$inp,$power) = $win64 ? ("%rcx","%rdx","%r8d") : ("%rdi","%rsi","%edx");
+
+$code.=<<___;
+.globl rsaz_1024_scatter5_avx2
+.type rsaz_1024_scatter5_avx2,\@abi-omnipotent
+.align 32
+rsaz_1024_scatter5_avx2:
+ vzeroupper
+ vmovdqu .Lscatter_permd(%rip),%ymm5
+ shl \$4,$power
+ lea ($out,$power),$out
+ mov \$9,%eax
+ jmp .Loop_scatter_1024
+
+.align 32
+.Loop_scatter_1024:
+ vmovdqu ($inp),%ymm0
+ lea 32($inp),$inp
+ vpermd %ymm0,%ymm5,%ymm0
+ vmovdqu %xmm0,($out)
+ lea 16*32($out),$out
+ dec %eax
+ jnz .Loop_scatter_1024
+
+ vzeroupper
+ ret
+.size rsaz_1024_scatter5_avx2,.-rsaz_1024_scatter5_avx2
+
+.globl rsaz_1024_gather5_avx2
+.type rsaz_1024_gather5_avx2,\@abi-omnipotent
+.align 32
+rsaz_1024_gather5_avx2:
+ vzeroupper
+ mov %rsp,%r11
+___
+$code.=<<___ if ($win64);
+ lea -0x88(%rsp),%rax
+.LSEH_begin_rsaz_1024_gather5:
+ # I can't trust assembler to use specific encoding:-(
+ .byte 0x48,0x8d,0x60,0xe0 # lea -0x20(%rax),%rsp
+ .byte 0xc5,0xf8,0x29,0x70,0xe0 # vmovaps %xmm6,-0x20(%rax)
+ .byte 0xc5,0xf8,0x29,0x78,0xf0 # vmovaps %xmm7,-0x10(%rax)
+ .byte 0xc5,0x78,0x29,0x40,0x00 # vmovaps %xmm8,0(%rax)
+ .byte 0xc5,0x78,0x29,0x48,0x10 # vmovaps %xmm9,0x10(%rax)
+ .byte 0xc5,0x78,0x29,0x50,0x20 # vmovaps %xmm10,0x20(%rax)
+ .byte 0xc5,0x78,0x29,0x58,0x30 # vmovaps %xmm11,0x30(%rax)
+ .byte 0xc5,0x78,0x29,0x60,0x40 # vmovaps %xmm12,0x40(%rax)
+ .byte 0xc5,0x78,0x29,0x68,0x50 # vmovaps %xmm13,0x50(%rax)
+ .byte 0xc5,0x78,0x29,0x70,0x60 # vmovaps %xmm14,0x60(%rax)
+ .byte 0xc5,0x78,0x29,0x78,0x70 # vmovaps %xmm15,0x70(%rax)
+___
+$code.=<<___;
+ lea -0x100(%rsp),%rsp
+ and \$-32, %rsp
+ lea .Linc(%rip), %r10
+ lea -128(%rsp),%rax # control u-op density
+
+ vmovd $power, %xmm4
+ vmovdqa (%r10),%ymm0
+ vmovdqa 32(%r10),%ymm1
+ vmovdqa 64(%r10),%ymm5
+ vpbroadcastd %xmm4,%ymm4
+
+ vpaddd %ymm5, %ymm0, %ymm2
+ vpcmpeqd %ymm4, %ymm0, %ymm0
+ vpaddd %ymm5, %ymm1, %ymm3
+ vpcmpeqd %ymm4, %ymm1, %ymm1
+ vmovdqa %ymm0, 32*0+128(%rax)
+ vpaddd %ymm5, %ymm2, %ymm0
+ vpcmpeqd %ymm4, %ymm2, %ymm2
+ vmovdqa %ymm1, 32*1+128(%rax)
+ vpaddd %ymm5, %ymm3, %ymm1
+ vpcmpeqd %ymm4, %ymm3, %ymm3
+ vmovdqa %ymm2, 32*2+128(%rax)
+ vpaddd %ymm5, %ymm0, %ymm2
+ vpcmpeqd %ymm4, %ymm0, %ymm0
+ vmovdqa %ymm3, 32*3+128(%rax)
+ vpaddd %ymm5, %ymm1, %ymm3
+ vpcmpeqd %ymm4, %ymm1, %ymm1
+ vmovdqa %ymm0, 32*4+128(%rax)
+ vpaddd %ymm5, %ymm2, %ymm8
+ vpcmpeqd %ymm4, %ymm2, %ymm2
+ vmovdqa %ymm1, 32*5+128(%rax)
+ vpaddd %ymm5, %ymm3, %ymm9
+ vpcmpeqd %ymm4, %ymm3, %ymm3
+ vmovdqa %ymm2, 32*6+128(%rax)
+ vpaddd %ymm5, %ymm8, %ymm10
+ vpcmpeqd %ymm4, %ymm8, %ymm8
+ vmovdqa %ymm3, 32*7+128(%rax)
+ vpaddd %ymm5, %ymm9, %ymm11
+ vpcmpeqd %ymm4, %ymm9, %ymm9
+ vpaddd %ymm5, %ymm10, %ymm12
+ vpcmpeqd %ymm4, %ymm10, %ymm10
+ vpaddd %ymm5, %ymm11, %ymm13
+ vpcmpeqd %ymm4, %ymm11, %ymm11
+ vpaddd %ymm5, %ymm12, %ymm14
+ vpcmpeqd %ymm4, %ymm12, %ymm12
+ vpaddd %ymm5, %ymm13, %ymm15
+ vpcmpeqd %ymm4, %ymm13, %ymm13
+ vpcmpeqd %ymm4, %ymm14, %ymm14
+ vpcmpeqd %ymm4, %ymm15, %ymm15
+
+ vmovdqa -32(%r10),%ymm7 # .Lgather_permd
+ lea 128($inp), $inp
+ mov \$9,$power
+
+.Loop_gather_1024:
+ vmovdqa 32*0-128($inp), %ymm0
+ vmovdqa 32*1-128($inp), %ymm1
+ vmovdqa 32*2-128($inp), %ymm2
+ vmovdqa 32*3-128($inp), %ymm3
+ vpand 32*0+128(%rax), %ymm0, %ymm0
+ vpand 32*1+128(%rax), %ymm1, %ymm1
+ vpand 32*2+128(%rax), %ymm2, %ymm2
+ vpor %ymm0, %ymm1, %ymm4
+ vpand 32*3+128(%rax), %ymm3, %ymm3
+ vmovdqa 32*4-128($inp), %ymm0
+ vmovdqa 32*5-128($inp), %ymm1
+ vpor %ymm2, %ymm3, %ymm5
+ vmovdqa 32*6-128($inp), %ymm2
+ vmovdqa 32*7-128($inp), %ymm3
+ vpand 32*4+128(%rax), %ymm0, %ymm0
+ vpand 32*5+128(%rax), %ymm1, %ymm1
+ vpand 32*6+128(%rax), %ymm2, %ymm2
+ vpor %ymm0, %ymm4, %ymm4
+ vpand 32*7+128(%rax), %ymm3, %ymm3
+ vpand 32*8-128($inp), %ymm8, %ymm0
+ vpor %ymm1, %ymm5, %ymm5
+ vpand 32*9-128($inp), %ymm9, %ymm1
+ vpor %ymm2, %ymm4, %ymm4
+ vpand 32*10-128($inp),%ymm10, %ymm2
+ vpor %ymm3, %ymm5, %ymm5
+ vpand 32*11-128($inp),%ymm11, %ymm3
+ vpor %ymm0, %ymm4, %ymm4
+ vpand 32*12-128($inp),%ymm12, %ymm0
+ vpor %ymm1, %ymm5, %ymm5
+ vpand 32*13-128($inp),%ymm13, %ymm1
+ vpor %ymm2, %ymm4, %ymm4
+ vpand 32*14-128($inp),%ymm14, %ymm2
+ vpor %ymm3, %ymm5, %ymm5
+ vpand 32*15-128($inp),%ymm15, %ymm3
+ lea 32*16($inp), $inp
+ vpor %ymm0, %ymm4, %ymm4
+ vpor %ymm1, %ymm5, %ymm5
+ vpor %ymm2, %ymm4, %ymm4
+ vpor %ymm3, %ymm5, %ymm5
+
+ vpor %ymm5, %ymm4, %ymm4
+ vextracti128 \$1, %ymm4, %xmm5 # upper half is cleared
+ vpor %xmm4, %xmm5, %xmm5
+ vpermd %ymm5,%ymm7,%ymm5
+ vmovdqu %ymm5,($out)
+ lea 32($out),$out
+ dec $power
+ jnz .Loop_gather_1024
+
+ vpxor %ymm0,%ymm0,%ymm0
+ vmovdqu %ymm0,($out)
+ vzeroupper
+___
+$code.=<<___ if ($win64);
+ movaps -0xa8(%r11),%xmm6
+ movaps -0x98(%r11),%xmm7
+ movaps -0x88(%r11),%xmm8
+ movaps -0x78(%r11),%xmm9
+ movaps -0x68(%r11),%xmm10
+ movaps -0x58(%r11),%xmm11
+ movaps -0x48(%r11),%xmm12
+ movaps -0x38(%r11),%xmm13
+ movaps -0x28(%r11),%xmm14
+ movaps -0x18(%r11),%xmm15
+.LSEH_end_rsaz_1024_gather5:
+___
+$code.=<<___;
+ lea (%r11),%rsp
+ ret
+.size rsaz_1024_gather5_avx2,.-rsaz_1024_gather5_avx2
+___
+}
+
+$code.=<<___;
+.extern OPENSSL_ia32cap_P
+.globl rsaz_avx2_eligible
+.type rsaz_avx2_eligible,\@abi-omnipotent
+.align 32
+rsaz_avx2_eligible:
+ mov OPENSSL_ia32cap_P+8(%rip),%eax
+___
+$code.=<<___ if ($addx);
+ mov \$`1<<8|1<<19`,%ecx
+ mov \$0,%edx
+ and %eax,%ecx
+ cmp \$`1<<8|1<<19`,%ecx # check for BMI2+AD*X
+ cmove %edx,%eax
+___
+$code.=<<___;
+ and \$`1<<5`,%eax
+ shr \$5,%eax
+ ret
+.size rsaz_avx2_eligible,.-rsaz_avx2_eligible
+
+.align 64
+.Land_mask:
+ .quad 0x1fffffff,0x1fffffff,0x1fffffff,-1
+.Lscatter_permd:
+ .long 0,2,4,6,7,7,7,7
+.Lgather_permd:
+ .long 0,7,1,7,2,7,3,7
+.Linc:
+ .long 0,0,0,0, 1,1,1,1
+ .long 2,2,2,2, 3,3,3,3
+ .long 4,4,4,4, 4,4,4,4
+.align 64
+___
+
+if ($win64) {
+$rec="%rcx";
+$frame="%rdx";
+$context="%r8";
+$disp="%r9";
+
+$code.=<<___
+.extern __imp_RtlVirtualUnwind
+.type rsaz_se_handler,\@abi-omnipotent
+.align 16
+rsaz_se_handler:
+ push %rsi
+ push %rdi
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+ pushfq
+ sub \$64,%rsp
+
+ mov 120($context),%rax # pull context->Rax
+ mov 248($context),%rbx # pull context->Rip
+
+ mov 8($disp),%rsi # disp->ImageBase
+ mov 56($disp),%r11 # disp->HandlerData
+
+ mov 0(%r11),%r10d # HandlerData[0]
+ lea (%rsi,%r10),%r10 # prologue label
+ cmp %r10,%rbx # context->Rip<prologue label
+ jb .Lcommon_seh_tail
+
+ mov 152($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 160($context),%rax # pull context->Rbp
+
+ mov -48(%rax),%r15
+ mov -40(%rax),%r14
+ mov -32(%rax),%r13
+ mov -24(%rax),%r12
+ mov -16(%rax),%rbp
+ mov -8(%rax),%rbx
+ mov %r15,240($context)
+ mov %r14,232($context)
+ mov %r13,224($context)
+ mov %r12,216($context)
+ mov %rbp,160($context)
+ mov %rbx,144($context)
+
+ lea -0xd8(%rax),%rsi # %xmm save area
+ lea 512($context),%rdi # & context.Xmm6
+ mov \$20,%ecx # 10*sizeof(%xmm0)/sizeof(%rax)
+ .long 0xa548f3fc # cld; rep movsq
+
+.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 rsaz_se_handler,.-rsaz_se_handler
+
+.section .pdata
+.align 4
+ .rva .LSEH_begin_rsaz_1024_sqr_avx2
+ .rva .LSEH_end_rsaz_1024_sqr_avx2
+ .rva .LSEH_info_rsaz_1024_sqr_avx2
+
+ .rva .LSEH_begin_rsaz_1024_mul_avx2
+ .rva .LSEH_end_rsaz_1024_mul_avx2
+ .rva .LSEH_info_rsaz_1024_mul_avx2
+
+ .rva .LSEH_begin_rsaz_1024_gather5
+ .rva .LSEH_end_rsaz_1024_gather5
+ .rva .LSEH_info_rsaz_1024_gather5
+.section .xdata
+.align 8
+.LSEH_info_rsaz_1024_sqr_avx2:
+ .byte 9,0,0,0
+ .rva rsaz_se_handler
+ .rva .Lsqr_1024_body,.Lsqr_1024_epilogue
+.LSEH_info_rsaz_1024_mul_avx2:
+ .byte 9,0,0,0
+ .rva rsaz_se_handler
+ .rva .Lmul_1024_body,.Lmul_1024_epilogue
+.LSEH_info_rsaz_1024_gather5:
+ .byte 0x01,0x36,0x17,0x0b
+ .byte 0x36,0xf8,0x09,0x00 # vmovaps 0x90(rsp),xmm15
+ .byte 0x31,0xe8,0x08,0x00 # vmovaps 0x80(rsp),xmm14
+ .byte 0x2c,0xd8,0x07,0x00 # vmovaps 0x70(rsp),xmm13
+ .byte 0x27,0xc8,0x06,0x00 # vmovaps 0x60(rsp),xmm12
+ .byte 0x22,0xb8,0x05,0x00 # vmovaps 0x50(rsp),xmm11
+ .byte 0x1d,0xa8,0x04,0x00 # vmovaps 0x40(rsp),xmm10
+ .byte 0x18,0x98,0x03,0x00 # vmovaps 0x30(rsp),xmm9
+ .byte 0x13,0x88,0x02,0x00 # vmovaps 0x20(rsp),xmm8
+ .byte 0x0e,0x78,0x01,0x00 # vmovaps 0x10(rsp),xmm7
+ .byte 0x09,0x68,0x00,0x00 # vmovaps 0x00(rsp),xmm6
+ .byte 0x04,0x01,0x15,0x00 # sub rsp,0xa8
+ .byte 0x00,0xb3,0x00,0x00 # set_frame r11
+___
+}
+
+foreach (split("\n",$code)) {
+ s/\`([^\`]*)\`/eval($1)/ge;
+
+ s/\b(sh[rl]d?\s+\$)(-?[0-9]+)/$1.$2%64/ge or
+
+ s/\b(vmov[dq])\b(.+)%ymm([0-9]+)/$1$2%xmm$3/go or
+ s/\b(vmovdqu)\b(.+)%x%ymm([0-9]+)/$1$2%xmm$3/go or
+ s/\b(vpinsr[qd])\b(.+)%ymm([0-9]+)/$1$2%xmm$3/go or
+ s/\b(vpextr[qd])\b(.+)%ymm([0-9]+)/$1$2%xmm$3/go or
+ s/\b(vpbroadcast[qd]\s+)%ymm([0-9]+)/$1%xmm$2/go;
+ print $_,"\n";
+}
+
+}}} else {{{
+print <<___; # assembler is too old
+.text
+
+.globl rsaz_avx2_eligible
+.type rsaz_avx2_eligible,\@abi-omnipotent
+rsaz_avx2_eligible:
+ xor %eax,%eax
+ ret
+.size rsaz_avx2_eligible,.-rsaz_avx2_eligible
+
+.globl rsaz_1024_sqr_avx2
+.globl rsaz_1024_mul_avx2
+.globl rsaz_1024_norm2red_avx2
+.globl rsaz_1024_red2norm_avx2
+.globl rsaz_1024_scatter5_avx2
+.globl rsaz_1024_gather5_avx2
+.type rsaz_1024_sqr_avx2,\@abi-omnipotent
+rsaz_1024_sqr_avx2:
+rsaz_1024_mul_avx2:
+rsaz_1024_norm2red_avx2:
+rsaz_1024_red2norm_avx2:
+rsaz_1024_scatter5_avx2:
+rsaz_1024_gather5_avx2:
+ .byte 0x0f,0x0b # ud2
+ ret
+.size rsaz_1024_sqr_avx2,.-rsaz_1024_sqr_avx2
+___
+}}}
+
+close STDOUT;
generated by cgit v0.12 at 2024-12-25 06:39:01 (GMT)