| #!/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% |
| # |
| # (*) if system doesn't support AVX2, for reference purposes; |
| |
| $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) + ($1>=2.22); |
| } |
| |
| if (!$avx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && |
| `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { |
| $avx = ($1>=2.09) + ($1>=2.10); |
| } |
| |
| if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && |
| `ml64 2>&1` =~ /Version ([0-9]+)\./) { |
| $avx = ($1>=10) + ($1>=11); |
| } |
| |
| 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 indexes 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 |
| 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: |
| ___ |
| $code.=<<___ if ($win64); |
| lea -0x88(%rsp),%rax |
| vzeroupper |
| .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 .Lgather_table(%rip),%r11 |
| mov $power,%eax |
| and \$3,$power |
| shr \$2,%eax # cache line number |
| shl \$4,$power # offset within cache line |
| |
| vmovdqu -32(%r11),%ymm7 # .Lgather_permd |
| vpbroadcastb 8(%r11,%rax), %xmm8 |
| vpbroadcastb 7(%r11,%rax), %xmm9 |
| vpbroadcastb 6(%r11,%rax), %xmm10 |
| vpbroadcastb 5(%r11,%rax), %xmm11 |
| vpbroadcastb 4(%r11,%rax), %xmm12 |
| vpbroadcastb 3(%r11,%rax), %xmm13 |
| vpbroadcastb 2(%r11,%rax), %xmm14 |
| vpbroadcastb 1(%r11,%rax), %xmm15 |
| |
| lea 64($inp,$power),$inp |
| mov \$64,%r11 # size optimization |
| mov \$9,%eax |
| jmp .Loop_gather_1024 |
| |
| .align 32 |
| .Loop_gather_1024: |
| vpand -64($inp), %xmm8,%xmm0 |
| vpand ($inp), %xmm9,%xmm1 |
| vpand 64($inp), %xmm10,%xmm2 |
| vpand ($inp,%r11,2), %xmm11,%xmm3 |
| vpor %xmm0,%xmm1,%xmm1 |
| vpand 64($inp,%r11,2), %xmm12,%xmm4 |
| vpor %xmm2,%xmm3,%xmm3 |
| vpand ($inp,%r11,4), %xmm13,%xmm5 |
| vpor %xmm1,%xmm3,%xmm3 |
| vpand 64($inp,%r11,4), %xmm14,%xmm6 |
| vpor %xmm4,%xmm5,%xmm5 |
| vpand -128($inp,%r11,8), %xmm15,%xmm2 |
| lea ($inp,%r11,8),$inp |
| vpor %xmm3,%xmm5,%xmm5 |
| vpor %xmm2,%xmm6,%xmm6 |
| vpor %xmm5,%xmm6,%xmm6 |
| vpermd %ymm6,%ymm7,%ymm6 |
| vmovdqu %ymm6,($out) |
| lea 32($out),$out |
| dec %eax |
| jnz .Loop_gather_1024 |
| |
| vpxor %ymm0,%ymm0,%ymm0 |
| vmovdqu %ymm0,($out) |
| vzeroupper |
| ___ |
| $code.=<<___ if ($win64); |
| movaps (%rsp),%xmm6 |
| movaps 0x10(%rsp),%xmm7 |
| movaps 0x20(%rsp),%xmm8 |
| movaps 0x30(%rsp),%xmm9 |
| movaps 0x40(%rsp),%xmm10 |
| movaps 0x50(%rsp),%xmm11 |
| movaps 0x60(%rsp),%xmm12 |
| movaps 0x70(%rsp),%xmm13 |
| movaps 0x80(%rsp),%xmm14 |
| movaps 0x90(%rsp),%xmm15 |
| lea 0xa8(%rsp),%rsp |
| .LSEH_end_rsaz_1024_gather5: |
| ___ |
| $code.=<<___; |
| ret |
| .size rsaz_1024_gather5_avx2,.-rsaz_1024_gather5_avx2 |
| ___ |
| } |
| |
| $code.=<<___; |
| .extern OPENSSL_ia32cap_P |
| .globl rsaz_avx2_eligible |
| .type rsaz_avx2_eligible,\@abi-omnipotent |
| .align 32 |
| rsaz_avx2_eligible: |
| mov OPENSSL_ia32cap_P+8(%rip),%eax |
| and \$`1<<5`,%eax |
| shr \$5,%eax |
| ret |
| .size rsaz_avx2_eligible,.-rsaz_avx2_eligible |
| |
| .align 64 |
| .Land_mask: |
| .quad 0x1fffffff,0x1fffffff,0x1fffffff,-1 |
| .Lscatter_permd: |
| .long 0,2,4,6,7,7,7,7 |
| .Lgather_permd: |
| .long 0,7,1,7,2,7,3,7 |
| .Lgather_table: |
| .byte 0,0,0,0,0,0,0,0, 0xff,0,0,0,0,0,0,0 |
| .align 64 |
| ___ |
| |
| if ($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 0x01,0x33,0x16,0x00 |
| .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 |
| ___ |
| } |
| |
| 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; |
