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- #! /usr/bin/env perl
- # Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
- # Copyright (c) 2014, Intel Corporation. All Rights Reserved.
- # Copyright (c) 2015 CloudFlare, Inc.
- #
- # Licensed under the Apache License 2.0 (the "License"). You may not use
- # this file except in compliance with the License. You can obtain a copy
- # in the file LICENSE in the source distribution or at
- # https://www.openssl.org/source/license.html
- #
- # Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1, 3)
- # (1) Intel Corporation, Israel Development Center, Haifa, Israel
- # (2) University of Haifa, Israel
- # (3) CloudFlare, Inc.
- #
- # Reference:
- # S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with
- # 256 Bit Primes"
- # Further optimization by <appro@openssl.org>:
- #
- # this/original with/without -DECP_NISTZ256_ASM(*)
- # Opteron +15-49% +150-195%
- # Bulldozer +18-45% +175-240%
- # P4 +24-46% +100-150%
- # Westmere +18-34% +87-160%
- # Sandy Bridge +14-35% +120-185%
- # Ivy Bridge +11-35% +125-180%
- # Haswell +10-37% +160-200%
- # Broadwell +24-58% +210-270%
- # Atom +20-50% +180-240%
- # VIA Nano +50-160% +480-480%
- #
- # (*) "without -DECP_NISTZ256_ASM" refers to build with
- # "enable-ec_nistp_64_gcc_128";
- #
- # Ranges denote minimum and maximum improvement coefficients depending
- # on benchmark. In "this/original" column lower coefficient is for
- # ECDSA sign, while in "with/without" - for ECDH key agreement, and
- # higher - for ECDSA sign, relatively fastest server-side operation.
- # Keep in mind that +100% means 2x improvement.
- # $output is the last argument if it looks like a file (it has an extension)
- # $flavour is the first argument if it doesn't look like a file
- $output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef;
- $flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef;
- $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
- $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
- ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
- ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
- die "can't locate x86_64-xlate.pl";
- open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""
- or die "can't call $xlate: $!";
- *STDOUT=*OUT;
- if (`$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 = ($1>=2.23);
- }
- if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
- `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
- $avx = ($1>=2.09) + ($1>=2.10);
- $addx = ($1>=2.10);
- }
- if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
- `ml64 2>&1` =~ /Version ([0-9]+)\./) {
- $avx = ($1>=10) + ($1>=11);
- $addx = ($1>=12);
- }
- if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([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);
- }
- $code.=<<___;
- .text
- .extern OPENSSL_ia32cap_P
- # The polynomial
- .align 64
- .Lpoly:
- .quad 0xffffffffffffffff, 0x00000000ffffffff, 0x0000000000000000, 0xffffffff00000001
- # 2^512 mod P precomputed for NIST P256 polynomial
- .LRR:
- .quad 0x0000000000000003, 0xfffffffbffffffff, 0xfffffffffffffffe, 0x00000004fffffffd
- .LOne:
- .long 1,1,1,1,1,1,1,1
- .LTwo:
- .long 2,2,2,2,2,2,2,2
- .LThree:
- .long 3,3,3,3,3,3,3,3
- .LONE_mont:
- .quad 0x0000000000000001, 0xffffffff00000000, 0xffffffffffffffff, 0x00000000fffffffe
- # Constants for computations modulo ord(p256)
- .Lord:
- .quad 0xf3b9cac2fc632551, 0xbce6faada7179e84, 0xffffffffffffffff, 0xffffffff00000000
- .LordK:
- .quad 0xccd1c8aaee00bc4f
- ___
- {
- ################################################################################
- # void ecp_nistz256_mul_by_2(uint64_t res[4], uint64_t a[4]);
- my ($a0,$a1,$a2,$a3)=map("%r$_",(8..11));
- my ($t0,$t1,$t2,$t3,$t4)=("%rax","%rdx","%rcx","%r12","%r13");
- my ($r_ptr,$a_ptr,$b_ptr)=("%rdi","%rsi","%rdx");
- $code.=<<___;
- .globl ecp_nistz256_mul_by_2
- .type ecp_nistz256_mul_by_2,\@function,2
- .align 64
- ecp_nistz256_mul_by_2:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Lmul_by_2_body:
- mov 8*0($a_ptr), $a0
- xor $t4,$t4
- mov 8*1($a_ptr), $a1
- add $a0, $a0 # a0:a3+a0:a3
- mov 8*2($a_ptr), $a2
- adc $a1, $a1
- mov 8*3($a_ptr), $a3
- lea .Lpoly(%rip), $a_ptr
- mov $a0, $t0
- adc $a2, $a2
- adc $a3, $a3
- mov $a1, $t1
- adc \$0, $t4
- sub 8*0($a_ptr), $a0
- mov $a2, $t2
- sbb 8*1($a_ptr), $a1
- sbb 8*2($a_ptr), $a2
- mov $a3, $t3
- sbb 8*3($a_ptr), $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Lmul_by_2_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_mul_by_2,.-ecp_nistz256_mul_by_2
- ################################################################################
- # void ecp_nistz256_div_by_2(uint64_t res[4], uint64_t a[4]);
- .globl ecp_nistz256_div_by_2
- .type ecp_nistz256_div_by_2,\@function,2
- .align 32
- ecp_nistz256_div_by_2:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Ldiv_by_2_body:
- mov 8*0($a_ptr), $a0
- mov 8*1($a_ptr), $a1
- mov 8*2($a_ptr), $a2
- mov $a0, $t0
- mov 8*3($a_ptr), $a3
- lea .Lpoly(%rip), $a_ptr
- mov $a1, $t1
- xor $t4, $t4
- add 8*0($a_ptr), $a0
- mov $a2, $t2
- adc 8*1($a_ptr), $a1
- adc 8*2($a_ptr), $a2
- mov $a3, $t3
- adc 8*3($a_ptr), $a3
- adc \$0, $t4
- xor $a_ptr, $a_ptr # borrow $a_ptr
- test \$1, $t0
- cmovz $t0, $a0
- cmovz $t1, $a1
- cmovz $t2, $a2
- cmovz $t3, $a3
- cmovz $a_ptr, $t4
- mov $a1, $t0 # a0:a3>>1
- shr \$1, $a0
- shl \$63, $t0
- mov $a2, $t1
- shr \$1, $a1
- or $t0, $a0
- shl \$63, $t1
- mov $a3, $t2
- shr \$1, $a2
- or $t1, $a1
- shl \$63, $t2
- shr \$1, $a3
- shl \$63, $t4
- or $t2, $a2
- or $t4, $a3
- mov $a0, 8*0($r_ptr)
- mov $a1, 8*1($r_ptr)
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Ldiv_by_2_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_div_by_2,.-ecp_nistz256_div_by_2
- ################################################################################
- # void ecp_nistz256_mul_by_3(uint64_t res[4], uint64_t a[4]);
- .globl ecp_nistz256_mul_by_3
- .type ecp_nistz256_mul_by_3,\@function,2
- .align 32
- ecp_nistz256_mul_by_3:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Lmul_by_3_body:
- mov 8*0($a_ptr), $a0
- xor $t4, $t4
- mov 8*1($a_ptr), $a1
- add $a0, $a0 # a0:a3+a0:a3
- mov 8*2($a_ptr), $a2
- adc $a1, $a1
- mov 8*3($a_ptr), $a3
- mov $a0, $t0
- adc $a2, $a2
- adc $a3, $a3
- mov $a1, $t1
- adc \$0, $t4
- sub \$-1, $a0
- mov $a2, $t2
- sbb .Lpoly+8*1(%rip), $a1
- sbb \$0, $a2
- mov $a3, $t3
- sbb .Lpoly+8*3(%rip), $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- cmovc $t2, $a2
- cmovc $t3, $a3
- xor $t4, $t4
- add 8*0($a_ptr), $a0 # a0:a3+=a_ptr[0:3]
- adc 8*1($a_ptr), $a1
- mov $a0, $t0
- adc 8*2($a_ptr), $a2
- adc 8*3($a_ptr), $a3
- mov $a1, $t1
- adc \$0, $t4
- sub \$-1, $a0
- mov $a2, $t2
- sbb .Lpoly+8*1(%rip), $a1
- sbb \$0, $a2
- mov $a3, $t3
- sbb .Lpoly+8*3(%rip), $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Lmul_by_3_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_mul_by_3,.-ecp_nistz256_mul_by_3
- ################################################################################
- # void ecp_nistz256_add(uint64_t res[4], uint64_t a[4], uint64_t b[4]);
- .globl ecp_nistz256_add
- .type ecp_nistz256_add,\@function,3
- .align 32
- ecp_nistz256_add:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Ladd_body:
- mov 8*0($a_ptr), $a0
- xor $t4, $t4
- mov 8*1($a_ptr), $a1
- mov 8*2($a_ptr), $a2
- mov 8*3($a_ptr), $a3
- lea .Lpoly(%rip), $a_ptr
- add 8*0($b_ptr), $a0
- adc 8*1($b_ptr), $a1
- mov $a0, $t0
- adc 8*2($b_ptr), $a2
- adc 8*3($b_ptr), $a3
- mov $a1, $t1
- adc \$0, $t4
- sub 8*0($a_ptr), $a0
- mov $a2, $t2
- sbb 8*1($a_ptr), $a1
- sbb 8*2($a_ptr), $a2
- mov $a3, $t3
- sbb 8*3($a_ptr), $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Ladd_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_add,.-ecp_nistz256_add
- ################################################################################
- # void ecp_nistz256_sub(uint64_t res[4], uint64_t a[4], uint64_t b[4]);
- .globl ecp_nistz256_sub
- .type ecp_nistz256_sub,\@function,3
- .align 32
- ecp_nistz256_sub:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Lsub_body:
- mov 8*0($a_ptr), $a0
- xor $t4, $t4
- mov 8*1($a_ptr), $a1
- mov 8*2($a_ptr), $a2
- mov 8*3($a_ptr), $a3
- lea .Lpoly(%rip), $a_ptr
- sub 8*0($b_ptr), $a0
- sbb 8*1($b_ptr), $a1
- mov $a0, $t0
- sbb 8*2($b_ptr), $a2
- sbb 8*3($b_ptr), $a3
- mov $a1, $t1
- sbb \$0, $t4
- add 8*0($a_ptr), $a0
- mov $a2, $t2
- adc 8*1($a_ptr), $a1
- adc 8*2($a_ptr), $a2
- mov $a3, $t3
- adc 8*3($a_ptr), $a3
- test $t4, $t4
- cmovz $t0, $a0
- cmovz $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovz $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovz $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Lsub_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_sub,.-ecp_nistz256_sub
- ################################################################################
- # void ecp_nistz256_neg(uint64_t res[4], uint64_t a[4]);
- .globl ecp_nistz256_neg
- .type ecp_nistz256_neg,\@function,2
- .align 32
- ecp_nistz256_neg:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Lneg_body:
- xor $a0, $a0
- xor $a1, $a1
- xor $a2, $a2
- xor $a3, $a3
- xor $t4, $t4
- sub 8*0($a_ptr), $a0
- sbb 8*1($a_ptr), $a1
- sbb 8*2($a_ptr), $a2
- mov $a0, $t0
- sbb 8*3($a_ptr), $a3
- lea .Lpoly(%rip), $a_ptr
- mov $a1, $t1
- sbb \$0, $t4
- add 8*0($a_ptr), $a0
- mov $a2, $t2
- adc 8*1($a_ptr), $a1
- adc 8*2($a_ptr), $a2
- mov $a3, $t3
- adc 8*3($a_ptr), $a3
- test $t4, $t4
- cmovz $t0, $a0
- cmovz $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovz $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovz $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Lneg_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_neg,.-ecp_nistz256_neg
- ___
- }
- {
- my ($r_ptr,$a_ptr,$b_org,$b_ptr)=("%rdi","%rsi","%rdx","%rbx");
- my ($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7)=map("%r$_",(8..15));
- my ($t0,$t1,$t2,$t3,$t4)=("%rcx","%rbp","%rbx","%rdx","%rax");
- my ($poly1,$poly3)=($acc6,$acc7);
- $code.=<<___;
- ################################################################################
- # void ecp_nistz256_ord_mul_mont(
- # uint64_t res[4],
- # uint64_t a[4],
- # uint64_t b[4]);
- .globl ecp_nistz256_ord_mul_mont
- .type ecp_nistz256_ord_mul_mont,\@function,3
- .align 32
- ecp_nistz256_ord_mul_mont:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- cmp \$0x80100, %ecx
- je .Lecp_nistz256_ord_mul_montx
- ___
- $code.=<<___;
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- .Lord_mul_body:
- mov 8*0($b_org), %rax
- mov $b_org, $b_ptr
- lea .Lord(%rip), %r14
- mov .LordK(%rip), %r15
- ################################# * b[0]
- mov %rax, $t0
- mulq 8*0($a_ptr)
- mov %rax, $acc0
- mov $t0, %rax
- mov %rdx, $acc1
- mulq 8*1($a_ptr)
- add %rax, $acc1
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $acc2
- mulq 8*2($a_ptr)
- add %rax, $acc2
- mov $t0, %rax
- adc \$0, %rdx
- mov $acc0, $acc5
- imulq %r15,$acc0
- mov %rdx, $acc3
- mulq 8*3($a_ptr)
- add %rax, $acc3
- mov $acc0, %rax
- adc \$0, %rdx
- mov %rdx, $acc4
- ################################# First reduction step
- mulq 8*0(%r14)
- mov $acc0, $t1
- add %rax, $acc5 # guaranteed to be zero
- mov $acc0, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- sub $acc0, $acc2
- sbb \$0, $acc0 # can't borrow
- mulq 8*1(%r14)
- add $t0, $acc1
- adc \$0, %rdx
- add %rax, $acc1
- mov $t1, %rax
- adc %rdx, $acc2
- mov $t1, %rdx
- adc \$0, $acc0 # can't overflow
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc3
- mov 8*1($b_ptr), %rax
- sbb %rdx, $t1 # can't borrow
- add $acc0, $acc3
- adc $t1, $acc4
- adc \$0, $acc5
- ################################# * b[1]
- mov %rax, $t0
- mulq 8*0($a_ptr)
- add %rax, $acc1
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq 8*1($a_ptr)
- add $t1, $acc2
- adc \$0, %rdx
- add %rax, $acc2
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq 8*2($a_ptr)
- add $t1, $acc3
- adc \$0, %rdx
- add %rax, $acc3
- mov $t0, %rax
- adc \$0, %rdx
- mov $acc1, $t0
- imulq %r15, $acc1
- mov %rdx, $t1
- mulq 8*3($a_ptr)
- add $t1, $acc4
- adc \$0, %rdx
- xor $acc0, $acc0
- add %rax, $acc4
- mov $acc1, %rax
- adc %rdx, $acc5
- adc \$0, $acc0
- ################################# Second reduction step
- mulq 8*0(%r14)
- mov $acc1, $t1
- add %rax, $t0 # guaranteed to be zero
- mov $acc1, %rax
- adc %rdx, $t0
- sub $acc1, $acc3
- sbb \$0, $acc1 # can't borrow
- mulq 8*1(%r14)
- add $t0, $acc2
- adc \$0, %rdx
- add %rax, $acc2
- mov $t1, %rax
- adc %rdx, $acc3
- mov $t1, %rdx
- adc \$0, $acc1 # can't overflow
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc4
- mov 8*2($b_ptr), %rax
- sbb %rdx, $t1 # can't borrow
- add $acc1, $acc4
- adc $t1, $acc5
- adc \$0, $acc0
- ################################## * b[2]
- mov %rax, $t0
- mulq 8*0($a_ptr)
- add %rax, $acc2
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq 8*1($a_ptr)
- add $t1, $acc3
- adc \$0, %rdx
- add %rax, $acc3
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq 8*2($a_ptr)
- add $t1, $acc4
- adc \$0, %rdx
- add %rax, $acc4
- mov $t0, %rax
- adc \$0, %rdx
- mov $acc2, $t0
- imulq %r15, $acc2
- mov %rdx, $t1
- mulq 8*3($a_ptr)
- add $t1, $acc5
- adc \$0, %rdx
- xor $acc1, $acc1
- add %rax, $acc5
- mov $acc2, %rax
- adc %rdx, $acc0
- adc \$0, $acc1
- ################################# Third reduction step
- mulq 8*0(%r14)
- mov $acc2, $t1
- add %rax, $t0 # guaranteed to be zero
- mov $acc2, %rax
- adc %rdx, $t0
- sub $acc2, $acc4
- sbb \$0, $acc2 # can't borrow
- mulq 8*1(%r14)
- add $t0, $acc3
- adc \$0, %rdx
- add %rax, $acc3
- mov $t1, %rax
- adc %rdx, $acc4
- mov $t1, %rdx
- adc \$0, $acc2 # can't overflow
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc5
- mov 8*3($b_ptr), %rax
- sbb %rdx, $t1 # can't borrow
- add $acc2, $acc5
- adc $t1, $acc0
- adc \$0, $acc1
- ################################# * b[3]
- mov %rax, $t0
- mulq 8*0($a_ptr)
- add %rax, $acc3
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq 8*1($a_ptr)
- add $t1, $acc4
- adc \$0, %rdx
- add %rax, $acc4
- mov $t0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq 8*2($a_ptr)
- add $t1, $acc5
- adc \$0, %rdx
- add %rax, $acc5
- mov $t0, %rax
- adc \$0, %rdx
- mov $acc3, $t0
- imulq %r15, $acc3
- mov %rdx, $t1
- mulq 8*3($a_ptr)
- add $t1, $acc0
- adc \$0, %rdx
- xor $acc2, $acc2
- add %rax, $acc0
- mov $acc3, %rax
- adc %rdx, $acc1
- adc \$0, $acc2
- ################################# Last reduction step
- mulq 8*0(%r14)
- mov $acc3, $t1
- add %rax, $t0 # guaranteed to be zero
- mov $acc3, %rax
- adc %rdx, $t0
- sub $acc3, $acc5
- sbb \$0, $acc3 # can't borrow
- mulq 8*1(%r14)
- add $t0, $acc4
- adc \$0, %rdx
- add %rax, $acc4
- mov $t1, %rax
- adc %rdx, $acc5
- mov $t1, %rdx
- adc \$0, $acc3 # can't overflow
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc0
- sbb %rdx, $t1 # can't borrow
- add $acc3, $acc0
- adc $t1, $acc1
- adc \$0, $acc2
- ################################# Subtract ord
- mov $acc4, $a_ptr
- sub 8*0(%r14), $acc4
- mov $acc5, $acc3
- sbb 8*1(%r14), $acc5
- mov $acc0, $t0
- sbb 8*2(%r14), $acc0
- mov $acc1, $t1
- sbb 8*3(%r14), $acc1
- sbb \$0, $acc2
- cmovc $a_ptr, $acc4
- cmovc $acc3, $acc5
- cmovc $t0, $acc0
- cmovc $t1, $acc1
- mov $acc4, 8*0($r_ptr)
- mov $acc5, 8*1($r_ptr)
- mov $acc0, 8*2($r_ptr)
- mov $acc1, 8*3($r_ptr)
- mov 0(%rsp),%r15
- .cfi_restore %r15
- mov 8(%rsp),%r14
- .cfi_restore %r14
- mov 16(%rsp),%r13
- .cfi_restore %r13
- mov 24(%rsp),%r12
- .cfi_restore %r12
- mov 32(%rsp),%rbx
- .cfi_restore %rbx
- mov 40(%rsp),%rbp
- .cfi_restore %rbp
- lea 48(%rsp),%rsp
- .cfi_adjust_cfa_offset -48
- .Lord_mul_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_ord_mul_mont,.-ecp_nistz256_ord_mul_mont
- ################################################################################
- # void ecp_nistz256_ord_sqr_mont(
- # uint64_t res[4],
- # uint64_t a[4],
- # uint64_t rep);
- .globl ecp_nistz256_ord_sqr_mont
- .type ecp_nistz256_ord_sqr_mont,\@function,3
- .align 32
- ecp_nistz256_ord_sqr_mont:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- cmp \$0x80100, %ecx
- je .Lecp_nistz256_ord_sqr_montx
- ___
- $code.=<<___;
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- .Lord_sqr_body:
- mov 8*0($a_ptr), $acc0
- mov 8*1($a_ptr), %rax
- mov 8*2($a_ptr), $acc6
- mov 8*3($a_ptr), $acc7
- lea .Lord(%rip), $a_ptr # pointer to modulus
- mov $b_org, $b_ptr
- jmp .Loop_ord_sqr
- .align 32
- .Loop_ord_sqr:
- ################################# a[1:] * a[0]
- mov %rax, $t1 # put aside a[1]
- mul $acc0 # a[1] * a[0]
- mov %rax, $acc1
- movq $t1, %xmm1 # offload a[1]
- mov $acc6, %rax
- mov %rdx, $acc2
- mul $acc0 # a[2] * a[0]
- add %rax, $acc2
- mov $acc7, %rax
- movq $acc6, %xmm2 # offload a[2]
- adc \$0, %rdx
- mov %rdx, $acc3
- mul $acc0 # a[3] * a[0]
- add %rax, $acc3
- mov $acc7, %rax
- movq $acc7, %xmm3 # offload a[3]
- adc \$0, %rdx
- mov %rdx, $acc4
- ################################# a[3] * a[2]
- mul $acc6 # a[3] * a[2]
- mov %rax, $acc5
- mov $acc6, %rax
- mov %rdx, $acc6
- ################################# a[2:] * a[1]
- mul $t1 # a[2] * a[1]
- add %rax, $acc3
- mov $acc7, %rax
- adc \$0, %rdx
- mov %rdx, $acc7
- mul $t1 # a[3] * a[1]
- add %rax, $acc4
- adc \$0, %rdx
- add $acc7, $acc4
- adc %rdx, $acc5
- adc \$0, $acc6 # can't overflow
- ################################# *2
- xor $acc7, $acc7
- mov $acc0, %rax
- add $acc1, $acc1
- adc $acc2, $acc2
- adc $acc3, $acc3
- adc $acc4, $acc4
- adc $acc5, $acc5
- adc $acc6, $acc6
- adc \$0, $acc7
- ################################# Missing products
- mul %rax # a[0] * a[0]
- mov %rax, $acc0
- movq %xmm1, %rax
- mov %rdx, $t1
- mul %rax # a[1] * a[1]
- add $t1, $acc1
- adc %rax, $acc2
- movq %xmm2, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mul %rax # a[2] * a[2]
- add $t1, $acc3
- adc %rax, $acc4
- movq %xmm3, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mov $acc0, $t0
- imulq 8*4($a_ptr), $acc0 # *= .LordK
- mul %rax # a[3] * a[3]
- add $t1, $acc5
- adc %rax, $acc6
- mov 8*0($a_ptr), %rax # modulus[0]
- adc %rdx, $acc7 # can't overflow
- ################################# First reduction step
- mul $acc0
- mov $acc0, $t1
- add %rax, $t0 # guaranteed to be zero
- mov 8*1($a_ptr), %rax # modulus[1]
- adc %rdx, $t0
- sub $acc0, $acc2
- sbb \$0, $t1 # can't borrow
- mul $acc0
- add $t0, $acc1
- adc \$0, %rdx
- add %rax, $acc1
- mov $acc0, %rax
- adc %rdx, $acc2
- mov $acc0, %rdx
- adc \$0, $t1 # can't overflow
- mov $acc1, $t0
- imulq 8*4($a_ptr), $acc1 # *= .LordK
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc3
- mov 8*0($a_ptr), %rax
- sbb %rdx, $acc0 # can't borrow
- add $t1, $acc3
- adc \$0, $acc0 # can't overflow
- ################################# Second reduction step
- mul $acc1
- mov $acc1, $t1
- add %rax, $t0 # guaranteed to be zero
- mov 8*1($a_ptr), %rax
- adc %rdx, $t0
- sub $acc1, $acc3
- sbb \$0, $t1 # can't borrow
- mul $acc1
- add $t0, $acc2
- adc \$0, %rdx
- add %rax, $acc2
- mov $acc1, %rax
- adc %rdx, $acc3
- mov $acc1, %rdx
- adc \$0, $t1 # can't overflow
- mov $acc2, $t0
- imulq 8*4($a_ptr), $acc2 # *= .LordK
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc0
- mov 8*0($a_ptr), %rax
- sbb %rdx, $acc1 # can't borrow
- add $t1, $acc0
- adc \$0, $acc1 # can't overflow
- ################################# Third reduction step
- mul $acc2
- mov $acc2, $t1
- add %rax, $t0 # guaranteed to be zero
- mov 8*1($a_ptr), %rax
- adc %rdx, $t0
- sub $acc2, $acc0
- sbb \$0, $t1 # can't borrow
- mul $acc2
- add $t0, $acc3
- adc \$0, %rdx
- add %rax, $acc3
- mov $acc2, %rax
- adc %rdx, $acc0
- mov $acc2, %rdx
- adc \$0, $t1 # can't overflow
- mov $acc3, $t0
- imulq 8*4($a_ptr), $acc3 # *= .LordK
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc1
- mov 8*0($a_ptr), %rax
- sbb %rdx, $acc2 # can't borrow
- add $t1, $acc1
- adc \$0, $acc2 # can't overflow
- ################################# Last reduction step
- mul $acc3
- mov $acc3, $t1
- add %rax, $t0 # guaranteed to be zero
- mov 8*1($a_ptr), %rax
- adc %rdx, $t0
- sub $acc3, $acc1
- sbb \$0, $t1 # can't borrow
- mul $acc3
- add $t0, $acc0
- adc \$0, %rdx
- add %rax, $acc0
- mov $acc3, %rax
- adc %rdx, $acc1
- mov $acc3, %rdx
- adc \$0, $t1 # can't overflow
- shl \$32, %rax
- shr \$32, %rdx
- sub %rax, $acc2
- sbb %rdx, $acc3 # can't borrow
- add $t1, $acc2
- adc \$0, $acc3 # can't overflow
- ################################# Add bits [511:256] of the sqr result
- xor %rdx, %rdx
- add $acc4, $acc0
- adc $acc5, $acc1
- mov $acc0, $acc4
- adc $acc6, $acc2
- adc $acc7, $acc3
- mov $acc1, %rax
- adc \$0, %rdx
- ################################# Compare to modulus
- sub 8*0($a_ptr), $acc0
- mov $acc2, $acc6
- sbb 8*1($a_ptr), $acc1
- sbb 8*2($a_ptr), $acc2
- mov $acc3, $acc7
- sbb 8*3($a_ptr), $acc3
- sbb \$0, %rdx
- cmovc $acc4, $acc0
- cmovnc $acc1, %rax
- cmovnc $acc2, $acc6
- cmovnc $acc3, $acc7
- dec $b_ptr
- jnz .Loop_ord_sqr
- mov $acc0, 8*0($r_ptr)
- mov %rax, 8*1($r_ptr)
- pxor %xmm1, %xmm1
- mov $acc6, 8*2($r_ptr)
- pxor %xmm2, %xmm2
- mov $acc7, 8*3($r_ptr)
- pxor %xmm3, %xmm3
- mov 0(%rsp),%r15
- .cfi_restore %r15
- mov 8(%rsp),%r14
- .cfi_restore %r14
- mov 16(%rsp),%r13
- .cfi_restore %r13
- mov 24(%rsp),%r12
- .cfi_restore %r12
- mov 32(%rsp),%rbx
- .cfi_restore %rbx
- mov 40(%rsp),%rbp
- .cfi_restore %rbp
- lea 48(%rsp),%rsp
- .cfi_adjust_cfa_offset -48
- .Lord_sqr_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_ord_sqr_mont,.-ecp_nistz256_ord_sqr_mont
- ___
- $code.=<<___ if ($addx);
- ################################################################################
- .type ecp_nistz256_ord_mul_montx,\@function,3
- .align 32
- ecp_nistz256_ord_mul_montx:
- .cfi_startproc
- .Lecp_nistz256_ord_mul_montx:
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- .Lord_mulx_body:
- mov $b_org, $b_ptr
- mov 8*0($b_org), %rdx
- mov 8*0($a_ptr), $acc1
- mov 8*1($a_ptr), $acc2
- mov 8*2($a_ptr), $acc3
- mov 8*3($a_ptr), $acc4
- lea -128($a_ptr), $a_ptr # control u-op density
- lea .Lord-128(%rip), %r14
- mov .LordK(%rip), %r15
- ################################# Multiply by b[0]
- mulx $acc1, $acc0, $acc1
- mulx $acc2, $t0, $acc2
- mulx $acc3, $t1, $acc3
- add $t0, $acc1
- mulx $acc4, $t0, $acc4
- mov $acc0, %rdx
- mulx %r15, %rdx, %rax
- adc $t1, $acc2
- adc $t0, $acc3
- adc \$0, $acc4
- ################################# reduction
- xor $acc5, $acc5 # $acc5=0, cf=0, of=0
- mulx 8*0+128(%r14), $t0, $t1
- adcx $t0, $acc0 # guaranteed to be zero
- adox $t1, $acc1
- mulx 8*1+128(%r14), $t0, $t1
- adcx $t0, $acc1
- adox $t1, $acc2
- mulx 8*2+128(%r14), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*3+128(%r14), $t0, $t1
- mov 8*1($b_ptr), %rdx
- adcx $t0, $acc3
- adox $t1, $acc4
- adcx $acc0, $acc4
- adox $acc0, $acc5
- adc \$0, $acc5 # cf=0, of=0
- ################################# Multiply by b[1]
- mulx 8*0+128($a_ptr), $t0, $t1
- adcx $t0, $acc1
- adox $t1, $acc2
- mulx 8*1+128($a_ptr), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*2+128($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*3+128($a_ptr), $t0, $t1
- mov $acc1, %rdx
- mulx %r15, %rdx, %rax
- adcx $t0, $acc4
- adox $t1, $acc5
- adcx $acc0, $acc5
- adox $acc0, $acc0
- adc \$0, $acc0 # cf=0, of=0
- ################################# reduction
- mulx 8*0+128(%r14), $t0, $t1
- adcx $t0, $acc1 # guaranteed to be zero
- adox $t1, $acc2
- mulx 8*1+128(%r14), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*2+128(%r14), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*3+128(%r14), $t0, $t1
- mov 8*2($b_ptr), %rdx
- adcx $t0, $acc4
- adox $t1, $acc5
- adcx $acc1, $acc5
- adox $acc1, $acc0
- adc \$0, $acc0 # cf=0, of=0
- ################################# Multiply by b[2]
- mulx 8*0+128($a_ptr), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*1+128($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*2+128($a_ptr), $t0, $t1
- adcx $t0, $acc4
- adox $t1, $acc5
- mulx 8*3+128($a_ptr), $t0, $t1
- mov $acc2, %rdx
- mulx %r15, %rdx, %rax
- adcx $t0, $acc5
- adox $t1, $acc0
- adcx $acc1, $acc0
- adox $acc1, $acc1
- adc \$0, $acc1 # cf=0, of=0
- ################################# reduction
- mulx 8*0+128(%r14), $t0, $t1
- adcx $t0, $acc2 # guaranteed to be zero
- adox $t1, $acc3
- mulx 8*1+128(%r14), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*2+128(%r14), $t0, $t1
- adcx $t0, $acc4
- adox $t1, $acc5
- mulx 8*3+128(%r14), $t0, $t1
- mov 8*3($b_ptr), %rdx
- adcx $t0, $acc5
- adox $t1, $acc0
- adcx $acc2, $acc0
- adox $acc2, $acc1
- adc \$0, $acc1 # cf=0, of=0
- ################################# Multiply by b[3]
- mulx 8*0+128($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*1+128($a_ptr), $t0, $t1
- adcx $t0, $acc4
- adox $t1, $acc5
- mulx 8*2+128($a_ptr), $t0, $t1
- adcx $t0, $acc5
- adox $t1, $acc0
- mulx 8*3+128($a_ptr), $t0, $t1
- mov $acc3, %rdx
- mulx %r15, %rdx, %rax
- adcx $t0, $acc0
- adox $t1, $acc1
- adcx $acc2, $acc1
- adox $acc2, $acc2
- adc \$0, $acc2 # cf=0, of=0
- ################################# reduction
- mulx 8*0+128(%r14), $t0, $t1
- adcx $t0, $acc3 # guaranteed to be zero
- adox $t1, $acc4
- mulx 8*1+128(%r14), $t0, $t1
- adcx $t0, $acc4
- adox $t1, $acc5
- mulx 8*2+128(%r14), $t0, $t1
- adcx $t0, $acc5
- adox $t1, $acc0
- mulx 8*3+128(%r14), $t0, $t1
- lea 128(%r14),%r14
- mov $acc4, $t2
- adcx $t0, $acc0
- adox $t1, $acc1
- mov $acc5, $t3
- adcx $acc3, $acc1
- adox $acc3, $acc2
- adc \$0, $acc2
- #################################
- # Branch-less conditional subtraction of P
- mov $acc0, $t0
- sub 8*0(%r14), $acc4
- sbb 8*1(%r14), $acc5
- sbb 8*2(%r14), $acc0
- mov $acc1, $t1
- sbb 8*3(%r14), $acc1
- sbb \$0, $acc2
- cmovc $t2, $acc4
- cmovc $t3, $acc5
- cmovc $t0, $acc0
- cmovc $t1, $acc1
- mov $acc4, 8*0($r_ptr)
- mov $acc5, 8*1($r_ptr)
- mov $acc0, 8*2($r_ptr)
- mov $acc1, 8*3($r_ptr)
- mov 0(%rsp),%r15
- .cfi_restore %r15
- mov 8(%rsp),%r14
- .cfi_restore %r14
- mov 16(%rsp),%r13
- .cfi_restore %r13
- mov 24(%rsp),%r12
- .cfi_restore %r12
- mov 32(%rsp),%rbx
- .cfi_restore %rbx
- mov 40(%rsp),%rbp
- .cfi_restore %rbp
- lea 48(%rsp),%rsp
- .cfi_adjust_cfa_offset -48
- .Lord_mulx_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_ord_mul_montx,.-ecp_nistz256_ord_mul_montx
- .type ecp_nistz256_ord_sqr_montx,\@function,3
- .align 32
- ecp_nistz256_ord_sqr_montx:
- .cfi_startproc
- .Lecp_nistz256_ord_sqr_montx:
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- .Lord_sqrx_body:
- mov $b_org, $b_ptr
- mov 8*0($a_ptr), %rdx
- mov 8*1($a_ptr), $acc6
- mov 8*2($a_ptr), $acc7
- mov 8*3($a_ptr), $acc0
- lea .Lord(%rip), $a_ptr
- jmp .Loop_ord_sqrx
- .align 32
- .Loop_ord_sqrx:
- mulx $acc6, $acc1, $acc2 # a[0]*a[1]
- mulx $acc7, $t0, $acc3 # a[0]*a[2]
- mov %rdx, %rax # offload a[0]
- movq $acc6, %xmm1 # offload a[1]
- mulx $acc0, $t1, $acc4 # a[0]*a[3]
- mov $acc6, %rdx
- add $t0, $acc2
- movq $acc7, %xmm2 # offload a[2]
- adc $t1, $acc3
- adc \$0, $acc4
- xor $acc5, $acc5 # $acc5=0,cf=0,of=0
- #################################
- mulx $acc7, $t0, $t1 # a[1]*a[2]
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx $acc0, $t0, $t1 # a[1]*a[3]
- mov $acc7, %rdx
- adcx $t0, $acc4
- adox $t1, $acc5
- adc \$0, $acc5
- #################################
- mulx $acc0, $t0, $acc6 # a[2]*a[3]
- mov %rax, %rdx
- movq $acc0, %xmm3 # offload a[3]
- xor $acc7, $acc7 # $acc7=0,cf=0,of=0
- adcx $acc1, $acc1 # acc1:6<<1
- adox $t0, $acc5
- adcx $acc2, $acc2
- adox $acc7, $acc6 # of=0
- ################################# a[i]*a[i]
- mulx %rdx, $acc0, $t1
- movq %xmm1, %rdx
- adcx $acc3, $acc3
- adox $t1, $acc1
- adcx $acc4, $acc4
- mulx %rdx, $t0, $t4
- movq %xmm2, %rdx
- adcx $acc5, $acc5
- adox $t0, $acc2
- adcx $acc6, $acc6
- mulx %rdx, $t0, $t1
- .byte 0x67
- movq %xmm3, %rdx
- adox $t4, $acc3
- adcx $acc7, $acc7
- adox $t0, $acc4
- adox $t1, $acc5
- mulx %rdx, $t0, $t4
- adox $t0, $acc6
- adox $t4, $acc7
- ################################# reduction
- mov $acc0, %rdx
- mulx 8*4($a_ptr), %rdx, $t0
- xor %rax, %rax # cf=0, of=0
- mulx 8*0($a_ptr), $t0, $t1
- adcx $t0, $acc0 # guaranteed to be zero
- adox $t1, $acc1
- mulx 8*1($a_ptr), $t0, $t1
- adcx $t0, $acc1
- adox $t1, $acc2
- mulx 8*2($a_ptr), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*3($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc0 # of=0
- adcx %rax, $acc0 # cf=0
- #################################
- mov $acc1, %rdx
- mulx 8*4($a_ptr), %rdx, $t0
- mulx 8*0($a_ptr), $t0, $t1
- adox $t0, $acc1 # guaranteed to be zero
- adcx $t1, $acc2
- mulx 8*1($a_ptr), $t0, $t1
- adox $t0, $acc2
- adcx $t1, $acc3
- mulx 8*2($a_ptr), $t0, $t1
- adox $t0, $acc3
- adcx $t1, $acc0
- mulx 8*3($a_ptr), $t0, $t1
- adox $t0, $acc0
- adcx $t1, $acc1 # cf=0
- adox %rax, $acc1 # of=0
- #################################
- mov $acc2, %rdx
- mulx 8*4($a_ptr), %rdx, $t0
- mulx 8*0($a_ptr), $t0, $t1
- adcx $t0, $acc2 # guaranteed to be zero
- adox $t1, $acc3
- mulx 8*1($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc0
- mulx 8*2($a_ptr), $t0, $t1
- adcx $t0, $acc0
- adox $t1, $acc1
- mulx 8*3($a_ptr), $t0, $t1
- adcx $t0, $acc1
- adox $t1, $acc2 # of=0
- adcx %rax, $acc2 # cf=0
- #################################
- mov $acc3, %rdx
- mulx 8*4($a_ptr), %rdx, $t0
- mulx 8*0($a_ptr), $t0, $t1
- adox $t0, $acc3 # guaranteed to be zero
- adcx $t1, $acc0
- mulx 8*1($a_ptr), $t0, $t1
- adox $t0, $acc0
- adcx $t1, $acc1
- mulx 8*2($a_ptr), $t0, $t1
- adox $t0, $acc1
- adcx $t1, $acc2
- mulx 8*3($a_ptr), $t0, $t1
- adox $t0, $acc2
- adcx $t1, $acc3
- adox %rax, $acc3
- ################################# accumulate upper half
- add $acc0, $acc4 # add $acc4, $acc0
- adc $acc5, $acc1
- mov $acc4, %rdx
- adc $acc6, $acc2
- adc $acc7, $acc3
- mov $acc1, $acc6
- adc \$0, %rax
- ################################# compare to modulus
- sub 8*0($a_ptr), $acc4
- mov $acc2, $acc7
- sbb 8*1($a_ptr), $acc1
- sbb 8*2($a_ptr), $acc2
- mov $acc3, $acc0
- sbb 8*3($a_ptr), $acc3
- sbb \$0, %rax
- cmovnc $acc4, %rdx
- cmovnc $acc1, $acc6
- cmovnc $acc2, $acc7
- cmovnc $acc3, $acc0
- dec $b_ptr
- jnz .Loop_ord_sqrx
- mov %rdx, 8*0($r_ptr)
- mov $acc6, 8*1($r_ptr)
- pxor %xmm1, %xmm1
- mov $acc7, 8*2($r_ptr)
- pxor %xmm2, %xmm2
- mov $acc0, 8*3($r_ptr)
- pxor %xmm3, %xmm3
- mov 0(%rsp),%r15
- .cfi_restore %r15
- mov 8(%rsp),%r14
- .cfi_restore %r14
- mov 16(%rsp),%r13
- .cfi_restore %r13
- mov 24(%rsp),%r12
- .cfi_restore %r12
- mov 32(%rsp),%rbx
- .cfi_restore %rbx
- mov 40(%rsp),%rbp
- .cfi_restore %rbp
- lea 48(%rsp),%rsp
- .cfi_adjust_cfa_offset -48
- .Lord_sqrx_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_ord_sqr_montx,.-ecp_nistz256_ord_sqr_montx
- ___
- $code.=<<___;
- ################################################################################
- # void ecp_nistz256_to_mont(
- # uint64_t res[4],
- # uint64_t in[4]);
- .globl ecp_nistz256_to_mont
- .type ecp_nistz256_to_mont,\@function,2
- .align 32
- ecp_nistz256_to_mont:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- ___
- $code.=<<___;
- lea .LRR(%rip), $b_org
- jmp .Lmul_mont
- .cfi_endproc
- .size ecp_nistz256_to_mont,.-ecp_nistz256_to_mont
- ################################################################################
- # void ecp_nistz256_mul_mont(
- # uint64_t res[4],
- # uint64_t a[4],
- # uint64_t b[4]);
- .globl ecp_nistz256_mul_mont
- .type ecp_nistz256_mul_mont,\@function,3
- .align 32
- ecp_nistz256_mul_mont:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- ___
- $code.=<<___;
- .Lmul_mont:
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- .Lmul_body:
- ___
- $code.=<<___ if ($addx);
- cmp \$0x80100, %ecx
- je .Lmul_montx
- ___
- $code.=<<___;
- mov $b_org, $b_ptr
- mov 8*0($b_org), %rax
- mov 8*0($a_ptr), $acc1
- mov 8*1($a_ptr), $acc2
- mov 8*2($a_ptr), $acc3
- mov 8*3($a_ptr), $acc4
- call __ecp_nistz256_mul_montq
- ___
- $code.=<<___ if ($addx);
- jmp .Lmul_mont_done
- .align 32
- .Lmul_montx:
- mov $b_org, $b_ptr
- mov 8*0($b_org), %rdx
- mov 8*0($a_ptr), $acc1
- mov 8*1($a_ptr), $acc2
- mov 8*2($a_ptr), $acc3
- mov 8*3($a_ptr), $acc4
- lea -128($a_ptr), $a_ptr # control u-op density
- call __ecp_nistz256_mul_montx
- ___
- $code.=<<___;
- .Lmul_mont_done:
- mov 0(%rsp),%r15
- .cfi_restore %r15
- mov 8(%rsp),%r14
- .cfi_restore %r14
- mov 16(%rsp),%r13
- .cfi_restore %r13
- mov 24(%rsp),%r12
- .cfi_restore %r12
- mov 32(%rsp),%rbx
- .cfi_restore %rbx
- mov 40(%rsp),%rbp
- .cfi_restore %rbp
- lea 48(%rsp),%rsp
- .cfi_adjust_cfa_offset -48
- .Lmul_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_mul_mont,.-ecp_nistz256_mul_mont
- .type __ecp_nistz256_mul_montq,\@abi-omnipotent
- .align 32
- __ecp_nistz256_mul_montq:
- .cfi_startproc
- ########################################################################
- # Multiply a by b[0]
- mov %rax, $t1
- mulq $acc1
- mov .Lpoly+8*1(%rip),$poly1
- mov %rax, $acc0
- mov $t1, %rax
- mov %rdx, $acc1
- mulq $acc2
- mov .Lpoly+8*3(%rip),$poly3
- add %rax, $acc1
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $acc2
- mulq $acc3
- add %rax, $acc2
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $acc3
- mulq $acc4
- add %rax, $acc3
- mov $acc0, %rax
- adc \$0, %rdx
- xor $acc5, $acc5
- mov %rdx, $acc4
- ########################################################################
- # First reduction step
- # Basically now we want to multiply acc[0] by p256,
- # and add the result to the acc.
- # Due to the special form of p256 we do some optimizations
- #
- # acc[0] x p256[0..1] = acc[0] x 2^96 - acc[0]
- # then we add acc[0] and get acc[0] x 2^96
- mov $acc0, $t1
- shl \$32, $acc0
- mulq $poly3
- shr \$32, $t1
- add $acc0, $acc1 # +=acc[0]<<96
- adc $t1, $acc2
- adc %rax, $acc3
- mov 8*1($b_ptr), %rax
- adc %rdx, $acc4
- adc \$0, $acc5
- xor $acc0, $acc0
- ########################################################################
- # Multiply by b[1]
- mov %rax, $t1
- mulq 8*0($a_ptr)
- add %rax, $acc1
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*1($a_ptr)
- add $t0, $acc2
- adc \$0, %rdx
- add %rax, $acc2
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*2($a_ptr)
- add $t0, $acc3
- adc \$0, %rdx
- add %rax, $acc3
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*3($a_ptr)
- add $t0, $acc4
- adc \$0, %rdx
- add %rax, $acc4
- mov $acc1, %rax
- adc %rdx, $acc5
- adc \$0, $acc0
- ########################################################################
- # Second reduction step
- mov $acc1, $t1
- shl \$32, $acc1
- mulq $poly3
- shr \$32, $t1
- add $acc1, $acc2
- adc $t1, $acc3
- adc %rax, $acc4
- mov 8*2($b_ptr), %rax
- adc %rdx, $acc5
- adc \$0, $acc0
- xor $acc1, $acc1
- ########################################################################
- # Multiply by b[2]
- mov %rax, $t1
- mulq 8*0($a_ptr)
- add %rax, $acc2
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*1($a_ptr)
- add $t0, $acc3
- adc \$0, %rdx
- add %rax, $acc3
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*2($a_ptr)
- add $t0, $acc4
- adc \$0, %rdx
- add %rax, $acc4
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*3($a_ptr)
- add $t0, $acc5
- adc \$0, %rdx
- add %rax, $acc5
- mov $acc2, %rax
- adc %rdx, $acc0
- adc \$0, $acc1
- ########################################################################
- # Third reduction step
- mov $acc2, $t1
- shl \$32, $acc2
- mulq $poly3
- shr \$32, $t1
- add $acc2, $acc3
- adc $t1, $acc4
- adc %rax, $acc5
- mov 8*3($b_ptr), %rax
- adc %rdx, $acc0
- adc \$0, $acc1
- xor $acc2, $acc2
- ########################################################################
- # Multiply by b[3]
- mov %rax, $t1
- mulq 8*0($a_ptr)
- add %rax, $acc3
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*1($a_ptr)
- add $t0, $acc4
- adc \$0, %rdx
- add %rax, $acc4
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*2($a_ptr)
- add $t0, $acc5
- adc \$0, %rdx
- add %rax, $acc5
- mov $t1, %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq 8*3($a_ptr)
- add $t0, $acc0
- adc \$0, %rdx
- add %rax, $acc0
- mov $acc3, %rax
- adc %rdx, $acc1
- adc \$0, $acc2
- ########################################################################
- # Final reduction step
- mov $acc3, $t1
- shl \$32, $acc3
- mulq $poly3
- shr \$32, $t1
- add $acc3, $acc4
- adc $t1, $acc5
- mov $acc4, $t0
- adc %rax, $acc0
- adc %rdx, $acc1
- mov $acc5, $t1
- adc \$0, $acc2
- ########################################################################
- # Branch-less conditional subtraction of P
- sub \$-1, $acc4 # .Lpoly[0]
- mov $acc0, $t2
- sbb $poly1, $acc5 # .Lpoly[1]
- sbb \$0, $acc0 # .Lpoly[2]
- mov $acc1, $t3
- sbb $poly3, $acc1 # .Lpoly[3]
- sbb \$0, $acc2
- cmovc $t0, $acc4
- cmovc $t1, $acc5
- mov $acc4, 8*0($r_ptr)
- cmovc $t2, $acc0
- mov $acc5, 8*1($r_ptr)
- cmovc $t3, $acc1
- mov $acc0, 8*2($r_ptr)
- mov $acc1, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_mul_montq,.-__ecp_nistz256_mul_montq
- ################################################################################
- # void ecp_nistz256_sqr_mont(
- # uint64_t res[4],
- # uint64_t a[4]);
- # we optimize the square according to S.Gueron and V.Krasnov,
- # "Speeding up Big-Number Squaring"
- .globl ecp_nistz256_sqr_mont
- .type ecp_nistz256_sqr_mont,\@function,2
- .align 32
- ecp_nistz256_sqr_mont:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- ___
- $code.=<<___;
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- .Lsqr_body:
- ___
- $code.=<<___ if ($addx);
- cmp \$0x80100, %ecx
- je .Lsqr_montx
- ___
- $code.=<<___;
- mov 8*0($a_ptr), %rax
- mov 8*1($a_ptr), $acc6
- mov 8*2($a_ptr), $acc7
- mov 8*3($a_ptr), $acc0
- call __ecp_nistz256_sqr_montq
- ___
- $code.=<<___ if ($addx);
- jmp .Lsqr_mont_done
- .align 32
- .Lsqr_montx:
- mov 8*0($a_ptr), %rdx
- mov 8*1($a_ptr), $acc6
- mov 8*2($a_ptr), $acc7
- mov 8*3($a_ptr), $acc0
- lea -128($a_ptr), $a_ptr # control u-op density
- call __ecp_nistz256_sqr_montx
- ___
- $code.=<<___;
- .Lsqr_mont_done:
- mov 0(%rsp),%r15
- .cfi_restore %r15
- mov 8(%rsp),%r14
- .cfi_restore %r14
- mov 16(%rsp),%r13
- .cfi_restore %r13
- mov 24(%rsp),%r12
- .cfi_restore %r12
- mov 32(%rsp),%rbx
- .cfi_restore %rbx
- mov 40(%rsp),%rbp
- .cfi_restore %rbp
- lea 48(%rsp),%rsp
- .cfi_adjust_cfa_offset -48
- .Lsqr_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_sqr_mont,.-ecp_nistz256_sqr_mont
- .type __ecp_nistz256_sqr_montq,\@abi-omnipotent
- .align 32
- __ecp_nistz256_sqr_montq:
- .cfi_startproc
- mov %rax, $acc5
- mulq $acc6 # a[1]*a[0]
- mov %rax, $acc1
- mov $acc7, %rax
- mov %rdx, $acc2
- mulq $acc5 # a[0]*a[2]
- add %rax, $acc2
- mov $acc0, %rax
- adc \$0, %rdx
- mov %rdx, $acc3
- mulq $acc5 # a[0]*a[3]
- add %rax, $acc3
- mov $acc7, %rax
- adc \$0, %rdx
- mov %rdx, $acc4
- #################################
- mulq $acc6 # a[1]*a[2]
- add %rax, $acc3
- mov $acc0, %rax
- adc \$0, %rdx
- mov %rdx, $t1
- mulq $acc6 # a[1]*a[3]
- add %rax, $acc4
- mov $acc0, %rax
- adc \$0, %rdx
- add $t1, $acc4
- mov %rdx, $acc5
- adc \$0, $acc5
- #################################
- mulq $acc7 # a[2]*a[3]
- xor $acc7, $acc7
- add %rax, $acc5
- mov 8*0($a_ptr), %rax
- mov %rdx, $acc6
- adc \$0, $acc6
- add $acc1, $acc1 # acc1:6<<1
- adc $acc2, $acc2
- adc $acc3, $acc3
- adc $acc4, $acc4
- adc $acc5, $acc5
- adc $acc6, $acc6
- adc \$0, $acc7
- mulq %rax
- mov %rax, $acc0
- mov 8*1($a_ptr), %rax
- mov %rdx, $t0
- mulq %rax
- add $t0, $acc1
- adc %rax, $acc2
- mov 8*2($a_ptr), %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq %rax
- add $t0, $acc3
- adc %rax, $acc4
- mov 8*3($a_ptr), %rax
- adc \$0, %rdx
- mov %rdx, $t0
- mulq %rax
- add $t0, $acc5
- adc %rax, $acc6
- mov $acc0, %rax
- adc %rdx, $acc7
- mov .Lpoly+8*1(%rip), $a_ptr
- mov .Lpoly+8*3(%rip), $t1
- ##########################################
- # Now the reduction
- # First iteration
- mov $acc0, $t0
- shl \$32, $acc0
- mulq $t1
- shr \$32, $t0
- add $acc0, $acc1 # +=acc[0]<<96
- adc $t0, $acc2
- adc %rax, $acc3
- mov $acc1, %rax
- adc \$0, %rdx
- ##########################################
- # Second iteration
- mov $acc1, $t0
- shl \$32, $acc1
- mov %rdx, $acc0
- mulq $t1
- shr \$32, $t0
- add $acc1, $acc2
- adc $t0, $acc3
- adc %rax, $acc0
- mov $acc2, %rax
- adc \$0, %rdx
- ##########################################
- # Third iteration
- mov $acc2, $t0
- shl \$32, $acc2
- mov %rdx, $acc1
- mulq $t1
- shr \$32, $t0
- add $acc2, $acc3
- adc $t0, $acc0
- adc %rax, $acc1
- mov $acc3, %rax
- adc \$0, %rdx
- ###########################################
- # Last iteration
- mov $acc3, $t0
- shl \$32, $acc3
- mov %rdx, $acc2
- mulq $t1
- shr \$32, $t0
- add $acc3, $acc0
- adc $t0, $acc1
- adc %rax, $acc2
- adc \$0, %rdx
- xor $acc3, $acc3
- ############################################
- # Add the rest of the acc
- add $acc0, $acc4
- adc $acc1, $acc5
- mov $acc4, $acc0
- adc $acc2, $acc6
- adc %rdx, $acc7
- mov $acc5, $acc1
- adc \$0, $acc3
- sub \$-1, $acc4 # .Lpoly[0]
- mov $acc6, $acc2
- sbb $a_ptr, $acc5 # .Lpoly[1]
- sbb \$0, $acc6 # .Lpoly[2]
- mov $acc7, $t0
- sbb $t1, $acc7 # .Lpoly[3]
- sbb \$0, $acc3
- cmovc $acc0, $acc4
- cmovc $acc1, $acc5
- mov $acc4, 8*0($r_ptr)
- cmovc $acc2, $acc6
- mov $acc5, 8*1($r_ptr)
- cmovc $t0, $acc7
- mov $acc6, 8*2($r_ptr)
- mov $acc7, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_sqr_montq,.-__ecp_nistz256_sqr_montq
- ___
- if ($addx) {
- $code.=<<___;
- .type __ecp_nistz256_mul_montx,\@abi-omnipotent
- .align 32
- __ecp_nistz256_mul_montx:
- .cfi_startproc
- ########################################################################
- # Multiply by b[0]
- mulx $acc1, $acc0, $acc1
- mulx $acc2, $t0, $acc2
- mov \$32, $poly1
- xor $acc5, $acc5 # cf=0
- mulx $acc3, $t1, $acc3
- mov .Lpoly+8*3(%rip), $poly3
- adc $t0, $acc1
- mulx $acc4, $t0, $acc4
- mov $acc0, %rdx
- adc $t1, $acc2
- shlx $poly1,$acc0,$t1
- adc $t0, $acc3
- shrx $poly1,$acc0,$t0
- adc \$0, $acc4
- ########################################################################
- # First reduction step
- add $t1, $acc1
- adc $t0, $acc2
- mulx $poly3, $t0, $t1
- mov 8*1($b_ptr), %rdx
- adc $t0, $acc3
- adc $t1, $acc4
- adc \$0, $acc5
- xor $acc0, $acc0 # $acc0=0,cf=0,of=0
- ########################################################################
- # Multiply by b[1]
- mulx 8*0+128($a_ptr), $t0, $t1
- adcx $t0, $acc1
- adox $t1, $acc2
- mulx 8*1+128($a_ptr), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*2+128($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*3+128($a_ptr), $t0, $t1
- mov $acc1, %rdx
- adcx $t0, $acc4
- shlx $poly1, $acc1, $t0
- adox $t1, $acc5
- shrx $poly1, $acc1, $t1
- adcx $acc0, $acc5
- adox $acc0, $acc0
- adc \$0, $acc0
- ########################################################################
- # Second reduction step
- add $t0, $acc2
- adc $t1, $acc3
- mulx $poly3, $t0, $t1
- mov 8*2($b_ptr), %rdx
- adc $t0, $acc4
- adc $t1, $acc5
- adc \$0, $acc0
- xor $acc1 ,$acc1 # $acc1=0,cf=0,of=0
- ########################################################################
- # Multiply by b[2]
- mulx 8*0+128($a_ptr), $t0, $t1
- adcx $t0, $acc2
- adox $t1, $acc3
- mulx 8*1+128($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*2+128($a_ptr), $t0, $t1
- adcx $t0, $acc4
- adox $t1, $acc5
- mulx 8*3+128($a_ptr), $t0, $t1
- mov $acc2, %rdx
- adcx $t0, $acc5
- shlx $poly1, $acc2, $t0
- adox $t1, $acc0
- shrx $poly1, $acc2, $t1
- adcx $acc1, $acc0
- adox $acc1, $acc1
- adc \$0, $acc1
- ########################################################################
- # Third reduction step
- add $t0, $acc3
- adc $t1, $acc4
- mulx $poly3, $t0, $t1
- mov 8*3($b_ptr), %rdx
- adc $t0, $acc5
- adc $t1, $acc0
- adc \$0, $acc1
- xor $acc2, $acc2 # $acc2=0,cf=0,of=0
- ########################################################################
- # Multiply by b[3]
- mulx 8*0+128($a_ptr), $t0, $t1
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx 8*1+128($a_ptr), $t0, $t1
- adcx $t0, $acc4
- adox $t1, $acc5
- mulx 8*2+128($a_ptr), $t0, $t1
- adcx $t0, $acc5
- adox $t1, $acc0
- mulx 8*3+128($a_ptr), $t0, $t1
- mov $acc3, %rdx
- adcx $t0, $acc0
- shlx $poly1, $acc3, $t0
- adox $t1, $acc1
- shrx $poly1, $acc3, $t1
- adcx $acc2, $acc1
- adox $acc2, $acc2
- adc \$0, $acc2
- ########################################################################
- # Fourth reduction step
- add $t0, $acc4
- adc $t1, $acc5
- mulx $poly3, $t0, $t1
- mov $acc4, $t2
- mov .Lpoly+8*1(%rip), $poly1
- adc $t0, $acc0
- mov $acc5, $t3
- adc $t1, $acc1
- adc \$0, $acc2
- ########################################################################
- # Branch-less conditional subtraction of P
- xor %eax, %eax
- mov $acc0, $t0
- sbb \$-1, $acc4 # .Lpoly[0]
- sbb $poly1, $acc5 # .Lpoly[1]
- sbb \$0, $acc0 # .Lpoly[2]
- mov $acc1, $t1
- sbb $poly3, $acc1 # .Lpoly[3]
- sbb \$0, $acc2
- cmovc $t2, $acc4
- cmovc $t3, $acc5
- mov $acc4, 8*0($r_ptr)
- cmovc $t0, $acc0
- mov $acc5, 8*1($r_ptr)
- cmovc $t1, $acc1
- mov $acc0, 8*2($r_ptr)
- mov $acc1, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_mul_montx,.-__ecp_nistz256_mul_montx
- .type __ecp_nistz256_sqr_montx,\@abi-omnipotent
- .align 32
- __ecp_nistz256_sqr_montx:
- .cfi_startproc
- mulx $acc6, $acc1, $acc2 # a[0]*a[1]
- mulx $acc7, $t0, $acc3 # a[0]*a[2]
- xor %eax, %eax
- adc $t0, $acc2
- mulx $acc0, $t1, $acc4 # a[0]*a[3]
- mov $acc6, %rdx
- adc $t1, $acc3
- adc \$0, $acc4
- xor $acc5, $acc5 # $acc5=0,cf=0,of=0
- #################################
- mulx $acc7, $t0, $t1 # a[1]*a[2]
- adcx $t0, $acc3
- adox $t1, $acc4
- mulx $acc0, $t0, $t1 # a[1]*a[3]
- mov $acc7, %rdx
- adcx $t0, $acc4
- adox $t1, $acc5
- adc \$0, $acc5
- #################################
- mulx $acc0, $t0, $acc6 # a[2]*a[3]
- mov 8*0+128($a_ptr), %rdx
- xor $acc7, $acc7 # $acc7=0,cf=0,of=0
- adcx $acc1, $acc1 # acc1:6<<1
- adox $t0, $acc5
- adcx $acc2, $acc2
- adox $acc7, $acc6 # of=0
- mulx %rdx, $acc0, $t1
- mov 8*1+128($a_ptr), %rdx
- adcx $acc3, $acc3
- adox $t1, $acc1
- adcx $acc4, $acc4
- mulx %rdx, $t0, $t4
- mov 8*2+128($a_ptr), %rdx
- adcx $acc5, $acc5
- adox $t0, $acc2
- adcx $acc6, $acc6
- .byte 0x67
- mulx %rdx, $t0, $t1
- mov 8*3+128($a_ptr), %rdx
- adox $t4, $acc3
- adcx $acc7, $acc7
- adox $t0, $acc4
- mov \$32, $a_ptr
- adox $t1, $acc5
- .byte 0x67,0x67
- mulx %rdx, $t0, $t4
- mov .Lpoly+8*3(%rip), %rdx
- adox $t0, $acc6
- shlx $a_ptr, $acc0, $t0
- adox $t4, $acc7
- shrx $a_ptr, $acc0, $t4
- mov %rdx,$t1
- # reduction step 1
- add $t0, $acc1
- adc $t4, $acc2
- mulx $acc0, $t0, $acc0
- adc $t0, $acc3
- shlx $a_ptr, $acc1, $t0
- adc \$0, $acc0
- shrx $a_ptr, $acc1, $t4
- # reduction step 2
- add $t0, $acc2
- adc $t4, $acc3
- mulx $acc1, $t0, $acc1
- adc $t0, $acc0
- shlx $a_ptr, $acc2, $t0
- adc \$0, $acc1
- shrx $a_ptr, $acc2, $t4
- # reduction step 3
- add $t0, $acc3
- adc $t4, $acc0
- mulx $acc2, $t0, $acc2
- adc $t0, $acc1
- shlx $a_ptr, $acc3, $t0
- adc \$0, $acc2
- shrx $a_ptr, $acc3, $t4
- # reduction step 4
- add $t0, $acc0
- adc $t4, $acc1
- mulx $acc3, $t0, $acc3
- adc $t0, $acc2
- adc \$0, $acc3
- xor $t3, $t3
- add $acc0, $acc4 # accumulate upper half
- mov .Lpoly+8*1(%rip), $a_ptr
- adc $acc1, $acc5
- mov $acc4, $acc0
- adc $acc2, $acc6
- adc $acc3, $acc7
- mov $acc5, $acc1
- adc \$0, $t3
- sub \$-1, $acc4 # .Lpoly[0]
- mov $acc6, $acc2
- sbb $a_ptr, $acc5 # .Lpoly[1]
- sbb \$0, $acc6 # .Lpoly[2]
- mov $acc7, $acc3
- sbb $t1, $acc7 # .Lpoly[3]
- sbb \$0, $t3
- cmovc $acc0, $acc4
- cmovc $acc1, $acc5
- mov $acc4, 8*0($r_ptr)
- cmovc $acc2, $acc6
- mov $acc5, 8*1($r_ptr)
- cmovc $acc3, $acc7
- mov $acc6, 8*2($r_ptr)
- mov $acc7, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_sqr_montx,.-__ecp_nistz256_sqr_montx
- ___
- }
- }
- {
- my ($r_ptr,$in_ptr)=("%rdi","%rsi");
- my ($acc0,$acc1,$acc2,$acc3)=map("%r$_",(8..11));
- my ($t0,$t1,$t2)=("%rcx","%r12","%r13");
- $code.=<<___;
- ################################################################################
- # void ecp_nistz256_from_mont(
- # uint64_t res[4],
- # uint64_t in[4]);
- # This one performs Montgomery multiplication by 1, so we only need the reduction
- .globl ecp_nistz256_from_mont
- .type ecp_nistz256_from_mont,\@function,2
- .align 32
- ecp_nistz256_from_mont:
- .cfi_startproc
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- .Lfrom_body:
- mov 8*0($in_ptr), %rax
- mov .Lpoly+8*3(%rip), $t2
- mov 8*1($in_ptr), $acc1
- mov 8*2($in_ptr), $acc2
- mov 8*3($in_ptr), $acc3
- mov %rax, $acc0
- mov .Lpoly+8*1(%rip), $t1
- #########################################
- # First iteration
- mov %rax, $t0
- shl \$32, $acc0
- mulq $t2
- shr \$32, $t0
- add $acc0, $acc1
- adc $t0, $acc2
- adc %rax, $acc3
- mov $acc1, %rax
- adc \$0, %rdx
- #########################################
- # Second iteration
- mov $acc1, $t0
- shl \$32, $acc1
- mov %rdx, $acc0
- mulq $t2
- shr \$32, $t0
- add $acc1, $acc2
- adc $t0, $acc3
- adc %rax, $acc0
- mov $acc2, %rax
- adc \$0, %rdx
- ##########################################
- # Third iteration
- mov $acc2, $t0
- shl \$32, $acc2
- mov %rdx, $acc1
- mulq $t2
- shr \$32, $t0
- add $acc2, $acc3
- adc $t0, $acc0
- adc %rax, $acc1
- mov $acc3, %rax
- adc \$0, %rdx
- ###########################################
- # Last iteration
- mov $acc3, $t0
- shl \$32, $acc3
- mov %rdx, $acc2
- mulq $t2
- shr \$32, $t0
- add $acc3, $acc0
- adc $t0, $acc1
- mov $acc0, $t0
- adc %rax, $acc2
- mov $acc1, $in_ptr
- adc \$0, %rdx
- ###########################################
- # Branch-less conditional subtraction
- sub \$-1, $acc0
- mov $acc2, %rax
- sbb $t1, $acc1
- sbb \$0, $acc2
- mov %rdx, $acc3
- sbb $t2, %rdx
- sbb $t2, $t2
- cmovnz $t0, $acc0
- cmovnz $in_ptr, $acc1
- mov $acc0, 8*0($r_ptr)
- cmovnz %rax, $acc2
- mov $acc1, 8*1($r_ptr)
- cmovz %rdx, $acc3
- mov $acc2, 8*2($r_ptr)
- mov $acc3, 8*3($r_ptr)
- mov 0(%rsp),%r13
- .cfi_restore %r13
- mov 8(%rsp),%r12
- .cfi_restore %r12
- lea 16(%rsp),%rsp
- .cfi_adjust_cfa_offset -16
- .Lfrom_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_from_mont,.-ecp_nistz256_from_mont
- ___
- }
- {
- my ($val,$in_t,$index)=$win64?("%rcx","%rdx","%r8d"):("%rdi","%rsi","%edx");
- my ($ONE,$INDEX,$Ra,$Rb,$Rc,$Rd,$Re,$Rf)=map("%xmm$_",(0..7));
- my ($M0,$T0a,$T0b,$T0c,$T0d,$T0e,$T0f,$TMP0)=map("%xmm$_",(8..15));
- my ($M1,$T2a,$T2b,$TMP2,$M2,$T2a,$T2b,$TMP2)=map("%xmm$_",(8..15));
- $code.=<<___;
- ################################################################################
- # void ecp_nistz256_scatter_w5(uint64_t *val, uint64_t *in_t, int index);
- .globl ecp_nistz256_scatter_w5
- .type ecp_nistz256_scatter_w5,\@abi-omnipotent
- .align 32
- ecp_nistz256_scatter_w5:
- .cfi_startproc
- lea -3($index,$index,2), $index
- movdqa 0x00($in_t), %xmm0
- shl \$5, $index
- movdqa 0x10($in_t), %xmm1
- movdqa 0x20($in_t), %xmm2
- movdqa 0x30($in_t), %xmm3
- movdqa 0x40($in_t), %xmm4
- movdqa 0x50($in_t), %xmm5
- movdqa %xmm0, 0x00($val,$index)
- movdqa %xmm1, 0x10($val,$index)
- movdqa %xmm2, 0x20($val,$index)
- movdqa %xmm3, 0x30($val,$index)
- movdqa %xmm4, 0x40($val,$index)
- movdqa %xmm5, 0x50($val,$index)
- ret
- .cfi_endproc
- .size ecp_nistz256_scatter_w5,.-ecp_nistz256_scatter_w5
- ################################################################################
- # void ecp_nistz256_gather_w5(uint64_t *val, uint64_t *in_t, int index);
- .globl ecp_nistz256_gather_w5
- .type ecp_nistz256_gather_w5,\@abi-omnipotent
- .align 32
- ecp_nistz256_gather_w5:
- .cfi_startproc
- ___
- $code.=<<___ if ($avx>1);
- mov OPENSSL_ia32cap_P+8(%rip), %eax
- test \$`1<<5`, %eax
- jnz .Lavx2_gather_w5
- ___
- $code.=<<___ if ($win64);
- lea -0x88(%rsp), %rax
- .LSEH_begin_ecp_nistz256_gather_w5:
- .byte 0x48,0x8d,0x60,0xe0 #lea -0x20(%rax), %rsp
- .byte 0x0f,0x29,0x70,0xe0 #movaps %xmm6, -0x20(%rax)
- .byte 0x0f,0x29,0x78,0xf0 #movaps %xmm7, -0x10(%rax)
- .byte 0x44,0x0f,0x29,0x00 #movaps %xmm8, 0(%rax)
- .byte 0x44,0x0f,0x29,0x48,0x10 #movaps %xmm9, 0x10(%rax)
- .byte 0x44,0x0f,0x29,0x50,0x20 #movaps %xmm10, 0x20(%rax)
- .byte 0x44,0x0f,0x29,0x58,0x30 #movaps %xmm11, 0x30(%rax)
- .byte 0x44,0x0f,0x29,0x60,0x40 #movaps %xmm12, 0x40(%rax)
- .byte 0x44,0x0f,0x29,0x68,0x50 #movaps %xmm13, 0x50(%rax)
- .byte 0x44,0x0f,0x29,0x70,0x60 #movaps %xmm14, 0x60(%rax)
- .byte 0x44,0x0f,0x29,0x78,0x70 #movaps %xmm15, 0x70(%rax)
- ___
- $code.=<<___;
- movdqa .LOne(%rip), $ONE
- movd $index, $INDEX
- pxor $Ra, $Ra
- pxor $Rb, $Rb
- pxor $Rc, $Rc
- pxor $Rd, $Rd
- pxor $Re, $Re
- pxor $Rf, $Rf
- movdqa $ONE, $M0
- pshufd \$0, $INDEX, $INDEX
- mov \$16, %rax
- .Lselect_loop_sse_w5:
- movdqa $M0, $TMP0
- paddd $ONE, $M0
- pcmpeqd $INDEX, $TMP0
- movdqa 16*0($in_t), $T0a
- movdqa 16*1($in_t), $T0b
- movdqa 16*2($in_t), $T0c
- movdqa 16*3($in_t), $T0d
- movdqa 16*4($in_t), $T0e
- movdqa 16*5($in_t), $T0f
- lea 16*6($in_t), $in_t
- pand $TMP0, $T0a
- pand $TMP0, $T0b
- por $T0a, $Ra
- pand $TMP0, $T0c
- por $T0b, $Rb
- pand $TMP0, $T0d
- por $T0c, $Rc
- pand $TMP0, $T0e
- por $T0d, $Rd
- pand $TMP0, $T0f
- por $T0e, $Re
- por $T0f, $Rf
- dec %rax
- jnz .Lselect_loop_sse_w5
- movdqu $Ra, 16*0($val)
- movdqu $Rb, 16*1($val)
- movdqu $Rc, 16*2($val)
- movdqu $Rd, 16*3($val)
- movdqu $Re, 16*4($val)
- movdqu $Rf, 16*5($val)
- ___
- $code.=<<___ if ($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
- ___
- $code.=<<___;
- ret
- .cfi_endproc
- .LSEH_end_ecp_nistz256_gather_w5:
- .size ecp_nistz256_gather_w5,.-ecp_nistz256_gather_w5
- ################################################################################
- # void ecp_nistz256_scatter_w7(uint64_t *val, uint64_t *in_t, int index);
- .globl ecp_nistz256_scatter_w7
- .type ecp_nistz256_scatter_w7,\@abi-omnipotent
- .align 32
- ecp_nistz256_scatter_w7:
- .cfi_startproc
- movdqu 0x00($in_t), %xmm0
- shl \$6, $index
- movdqu 0x10($in_t), %xmm1
- movdqu 0x20($in_t), %xmm2
- movdqu 0x30($in_t), %xmm3
- movdqa %xmm0, 0x00($val,$index)
- movdqa %xmm1, 0x10($val,$index)
- movdqa %xmm2, 0x20($val,$index)
- movdqa %xmm3, 0x30($val,$index)
- ret
- .cfi_endproc
- .size ecp_nistz256_scatter_w7,.-ecp_nistz256_scatter_w7
- ################################################################################
- # void ecp_nistz256_gather_w7(uint64_t *val, uint64_t *in_t, int index);
- .globl ecp_nistz256_gather_w7
- .type ecp_nistz256_gather_w7,\@abi-omnipotent
- .align 32
- ecp_nistz256_gather_w7:
- .cfi_startproc
- ___
- $code.=<<___ if ($avx>1);
- mov OPENSSL_ia32cap_P+8(%rip), %eax
- test \$`1<<5`, %eax
- jnz .Lavx2_gather_w7
- ___
- $code.=<<___ if ($win64);
- lea -0x88(%rsp), %rax
- .LSEH_begin_ecp_nistz256_gather_w7:
- .byte 0x48,0x8d,0x60,0xe0 #lea -0x20(%rax), %rsp
- .byte 0x0f,0x29,0x70,0xe0 #movaps %xmm6, -0x20(%rax)
- .byte 0x0f,0x29,0x78,0xf0 #movaps %xmm7, -0x10(%rax)
- .byte 0x44,0x0f,0x29,0x00 #movaps %xmm8, 0(%rax)
- .byte 0x44,0x0f,0x29,0x48,0x10 #movaps %xmm9, 0x10(%rax)
- .byte 0x44,0x0f,0x29,0x50,0x20 #movaps %xmm10, 0x20(%rax)
- .byte 0x44,0x0f,0x29,0x58,0x30 #movaps %xmm11, 0x30(%rax)
- .byte 0x44,0x0f,0x29,0x60,0x40 #movaps %xmm12, 0x40(%rax)
- .byte 0x44,0x0f,0x29,0x68,0x50 #movaps %xmm13, 0x50(%rax)
- .byte 0x44,0x0f,0x29,0x70,0x60 #movaps %xmm14, 0x60(%rax)
- .byte 0x44,0x0f,0x29,0x78,0x70 #movaps %xmm15, 0x70(%rax)
- ___
- $code.=<<___;
- movdqa .LOne(%rip), $M0
- movd $index, $INDEX
- pxor $Ra, $Ra
- pxor $Rb, $Rb
- pxor $Rc, $Rc
- pxor $Rd, $Rd
- movdqa $M0, $ONE
- pshufd \$0, $INDEX, $INDEX
- mov \$64, %rax
- .Lselect_loop_sse_w7:
- movdqa $M0, $TMP0
- paddd $ONE, $M0
- movdqa 16*0($in_t), $T0a
- movdqa 16*1($in_t), $T0b
- pcmpeqd $INDEX, $TMP0
- movdqa 16*2($in_t), $T0c
- movdqa 16*3($in_t), $T0d
- lea 16*4($in_t), $in_t
- pand $TMP0, $T0a
- pand $TMP0, $T0b
- por $T0a, $Ra
- pand $TMP0, $T0c
- por $T0b, $Rb
- pand $TMP0, $T0d
- por $T0c, $Rc
- prefetcht0 255($in_t)
- por $T0d, $Rd
- dec %rax
- jnz .Lselect_loop_sse_w7
- movdqu $Ra, 16*0($val)
- movdqu $Rb, 16*1($val)
- movdqu $Rc, 16*2($val)
- movdqu $Rd, 16*3($val)
- ___
- $code.=<<___ if ($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
- ___
- $code.=<<___;
- ret
- .cfi_endproc
- .LSEH_end_ecp_nistz256_gather_w7:
- .size ecp_nistz256_gather_w7,.-ecp_nistz256_gather_w7
- ___
- }
- if ($avx>1) {
- my ($val,$in_t,$index)=$win64?("%rcx","%rdx","%r8d"):("%rdi","%rsi","%edx");
- my ($TWO,$INDEX,$Ra,$Rb,$Rc)=map("%ymm$_",(0..4));
- my ($M0,$T0a,$T0b,$T0c,$TMP0)=map("%ymm$_",(5..9));
- my ($M1,$T1a,$T1b,$T1c,$TMP1)=map("%ymm$_",(10..14));
- $code.=<<___;
- ################################################################################
- # void ecp_nistz256_avx2_gather_w5(uint64_t *val, uint64_t *in_t, int index);
- .type ecp_nistz256_avx2_gather_w5,\@abi-omnipotent
- .align 32
- ecp_nistz256_avx2_gather_w5:
- .cfi_startproc
- .Lavx2_gather_w5:
- vzeroupper
- ___
- $code.=<<___ if ($win64);
- lea -0x88(%rsp), %rax
- mov %rsp,%r11
- .LSEH_begin_ecp_nistz256_avx2_gather_w5:
- .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, 8(%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.=<<___;
- vmovdqa .LTwo(%rip), $TWO
- vpxor $Ra, $Ra, $Ra
- vpxor $Rb, $Rb, $Rb
- vpxor $Rc, $Rc, $Rc
- vmovdqa .LOne(%rip), $M0
- vmovdqa .LTwo(%rip), $M1
- vmovd $index, %xmm1
- vpermd $INDEX, $Ra, $INDEX
- mov \$8, %rax
- .Lselect_loop_avx2_w5:
- vmovdqa 32*0($in_t), $T0a
- vmovdqa 32*1($in_t), $T0b
- vmovdqa 32*2($in_t), $T0c
- vmovdqa 32*3($in_t), $T1a
- vmovdqa 32*4($in_t), $T1b
- vmovdqa 32*5($in_t), $T1c
- vpcmpeqd $INDEX, $M0, $TMP0
- vpcmpeqd $INDEX, $M1, $TMP1
- vpaddd $TWO, $M0, $M0
- vpaddd $TWO, $M1, $M1
- lea 32*6($in_t), $in_t
- vpand $TMP0, $T0a, $T0a
- vpand $TMP0, $T0b, $T0b
- vpand $TMP0, $T0c, $T0c
- vpand $TMP1, $T1a, $T1a
- vpand $TMP1, $T1b, $T1b
- vpand $TMP1, $T1c, $T1c
- vpxor $T0a, $Ra, $Ra
- vpxor $T0b, $Rb, $Rb
- vpxor $T0c, $Rc, $Rc
- vpxor $T1a, $Ra, $Ra
- vpxor $T1b, $Rb, $Rb
- vpxor $T1c, $Rc, $Rc
- dec %rax
- jnz .Lselect_loop_avx2_w5
- vmovdqu $Ra, 32*0($val)
- vmovdqu $Rb, 32*1($val)
- vmovdqu $Rc, 32*2($val)
- 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 (%r11), %rsp
- ___
- $code.=<<___;
- ret
- .cfi_endproc
- .LSEH_end_ecp_nistz256_avx2_gather_w5:
- .size ecp_nistz256_avx2_gather_w5,.-ecp_nistz256_avx2_gather_w5
- ___
- }
- if ($avx>1) {
- my ($val,$in_t,$index)=$win64?("%rcx","%rdx","%r8d"):("%rdi","%rsi","%edx");
- my ($THREE,$INDEX,$Ra,$Rb)=map("%ymm$_",(0..3));
- my ($M0,$T0a,$T0b,$TMP0)=map("%ymm$_",(4..7));
- my ($M1,$T1a,$T1b,$TMP1)=map("%ymm$_",(8..11));
- my ($M2,$T2a,$T2b,$TMP2)=map("%ymm$_",(12..15));
- $code.=<<___;
- ################################################################################
- # void ecp_nistz256_avx2_gather_w7(uint64_t *val, uint64_t *in_t, int index);
- .globl ecp_nistz256_avx2_gather_w7
- .type ecp_nistz256_avx2_gather_w7,\@abi-omnipotent
- .align 32
- ecp_nistz256_avx2_gather_w7:
- .cfi_startproc
- .Lavx2_gather_w7:
- vzeroupper
- ___
- $code.=<<___ if ($win64);
- mov %rsp,%r11
- lea -0x88(%rsp), %rax
- .LSEH_begin_ecp_nistz256_avx2_gather_w7:
- .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, 8(%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.=<<___;
- vmovdqa .LThree(%rip), $THREE
- vpxor $Ra, $Ra, $Ra
- vpxor $Rb, $Rb, $Rb
- vmovdqa .LOne(%rip), $M0
- vmovdqa .LTwo(%rip), $M1
- vmovdqa .LThree(%rip), $M2
- vmovd $index, %xmm1
- vpermd $INDEX, $Ra, $INDEX
- # Skip index = 0, because it is implicitly the point at infinity
- mov \$21, %rax
- .Lselect_loop_avx2_w7:
- vmovdqa 32*0($in_t), $T0a
- vmovdqa 32*1($in_t), $T0b
- vmovdqa 32*2($in_t), $T1a
- vmovdqa 32*3($in_t), $T1b
- vmovdqa 32*4($in_t), $T2a
- vmovdqa 32*5($in_t), $T2b
- vpcmpeqd $INDEX, $M0, $TMP0
- vpcmpeqd $INDEX, $M1, $TMP1
- vpcmpeqd $INDEX, $M2, $TMP2
- vpaddd $THREE, $M0, $M0
- vpaddd $THREE, $M1, $M1
- vpaddd $THREE, $M2, $M2
- lea 32*6($in_t), $in_t
- vpand $TMP0, $T0a, $T0a
- vpand $TMP0, $T0b, $T0b
- vpand $TMP1, $T1a, $T1a
- vpand $TMP1, $T1b, $T1b
- vpand $TMP2, $T2a, $T2a
- vpand $TMP2, $T2b, $T2b
- vpxor $T0a, $Ra, $Ra
- vpxor $T0b, $Rb, $Rb
- vpxor $T1a, $Ra, $Ra
- vpxor $T1b, $Rb, $Rb
- vpxor $T2a, $Ra, $Ra
- vpxor $T2b, $Rb, $Rb
- dec %rax
- jnz .Lselect_loop_avx2_w7
- vmovdqa 32*0($in_t), $T0a
- vmovdqa 32*1($in_t), $T0b
- vpcmpeqd $INDEX, $M0, $TMP0
- vpand $TMP0, $T0a, $T0a
- vpand $TMP0, $T0b, $T0b
- vpxor $T0a, $Ra, $Ra
- vpxor $T0b, $Rb, $Rb
- vmovdqu $Ra, 32*0($val)
- vmovdqu $Rb, 32*1($val)
- 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 (%r11), %rsp
- ___
- $code.=<<___;
- ret
- .cfi_endproc
- .LSEH_end_ecp_nistz256_avx2_gather_w7:
- .size ecp_nistz256_avx2_gather_w7,.-ecp_nistz256_avx2_gather_w7
- ___
- } else {
- $code.=<<___;
- .globl ecp_nistz256_avx2_gather_w7
- .type ecp_nistz256_avx2_gather_w7,\@function,3
- .align 32
- ecp_nistz256_avx2_gather_w7:
- .cfi_startproc
- .byte 0x0f,0x0b # ud2
- ret
- .cfi_endproc
- .size ecp_nistz256_avx2_gather_w7,.-ecp_nistz256_avx2_gather_w7
- ___
- }
- {{{
- ########################################################################
- # This block implements higher level point_double, point_add and
- # point_add_affine. The key to performance in this case is to allow
- # out-of-order execution logic to overlap computations from next step
- # with tail processing from current step. By using tailored calling
- # sequence we minimize inter-step overhead to give processor better
- # shot at overlapping operations...
- #
- # You will notice that input data is copied to stack. Trouble is that
- # there are no registers to spare for holding original pointers and
- # reloading them, pointers, would create undesired dependencies on
- # effective addresses calculation paths. In other words it's too done
- # to favour out-of-order execution logic.
- # <appro@openssl.org>
- my ($r_ptr,$a_ptr,$b_org,$b_ptr)=("%rdi","%rsi","%rdx","%rbx");
- my ($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7)=map("%r$_",(8..15));
- my ($t0,$t1,$t2,$t3,$t4)=("%rax","%rbp","%rcx",$acc4,$acc4);
- my ($poly1,$poly3)=($acc6,$acc7);
- sub load_for_mul () {
- my ($a,$b,$src0) = @_;
- my $bias = $src0 eq "%rax" ? 0 : -128;
- " mov $b, $src0
- lea $b, $b_ptr
- mov 8*0+$a, $acc1
- mov 8*1+$a, $acc2
- lea $bias+$a, $a_ptr
- mov 8*2+$a, $acc3
- mov 8*3+$a, $acc4"
- }
- sub load_for_sqr () {
- my ($a,$src0) = @_;
- my $bias = $src0 eq "%rax" ? 0 : -128;
- " mov 8*0+$a, $src0
- mov 8*1+$a, $acc6
- lea $bias+$a, $a_ptr
- mov 8*2+$a, $acc7
- mov 8*3+$a, $acc0"
- }
- {
- ########################################################################
- # operate in 4-5-0-1 "name space" that matches multiplication output
- #
- my ($a0,$a1,$a2,$a3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3);
- $code.=<<___;
- .type __ecp_nistz256_add_toq,\@abi-omnipotent
- .align 32
- __ecp_nistz256_add_toq:
- .cfi_startproc
- xor $t4,$t4
- add 8*0($b_ptr), $a0
- adc 8*1($b_ptr), $a1
- mov $a0, $t0
- adc 8*2($b_ptr), $a2
- adc 8*3($b_ptr), $a3
- mov $a1, $t1
- adc \$0, $t4
- sub \$-1, $a0
- mov $a2, $t2
- sbb $poly1, $a1
- sbb \$0, $a2
- mov $a3, $t3
- sbb $poly3, $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_add_toq,.-__ecp_nistz256_add_toq
- .type __ecp_nistz256_sub_fromq,\@abi-omnipotent
- .align 32
- __ecp_nistz256_sub_fromq:
- .cfi_startproc
- sub 8*0($b_ptr), $a0
- sbb 8*1($b_ptr), $a1
- mov $a0, $t0
- sbb 8*2($b_ptr), $a2
- sbb 8*3($b_ptr), $a3
- mov $a1, $t1
- sbb $t4, $t4
- add \$-1, $a0
- mov $a2, $t2
- adc $poly1, $a1
- adc \$0, $a2
- mov $a3, $t3
- adc $poly3, $a3
- test $t4, $t4
- cmovz $t0, $a0
- cmovz $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovz $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovz $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_sub_fromq,.-__ecp_nistz256_sub_fromq
- .type __ecp_nistz256_subq,\@abi-omnipotent
- .align 32
- __ecp_nistz256_subq:
- .cfi_startproc
- sub $a0, $t0
- sbb $a1, $t1
- mov $t0, $a0
- sbb $a2, $t2
- sbb $a3, $t3
- mov $t1, $a1
- sbb $t4, $t4
- add \$-1, $t0
- mov $t2, $a2
- adc $poly1, $t1
- adc \$0, $t2
- mov $t3, $a3
- adc $poly3, $t3
- test $t4, $t4
- cmovnz $t0, $a0
- cmovnz $t1, $a1
- cmovnz $t2, $a2
- cmovnz $t3, $a3
- ret
- .cfi_endproc
- .size __ecp_nistz256_subq,.-__ecp_nistz256_subq
- .type __ecp_nistz256_mul_by_2q,\@abi-omnipotent
- .align 32
- __ecp_nistz256_mul_by_2q:
- .cfi_startproc
- xor $t4, $t4
- add $a0, $a0 # a0:a3+a0:a3
- adc $a1, $a1
- mov $a0, $t0
- adc $a2, $a2
- adc $a3, $a3
- mov $a1, $t1
- adc \$0, $t4
- sub \$-1, $a0
- mov $a2, $t2
- sbb $poly1, $a1
- sbb \$0, $a2
- mov $a3, $t3
- sbb $poly3, $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_mul_by_2q,.-__ecp_nistz256_mul_by_2q
- ___
- }
- sub gen_double () {
- my $x = shift;
- my ($src0,$sfx,$bias);
- my ($S,$M,$Zsqr,$in_x,$tmp0)=map(32*$_,(0..4));
- if ($x ne "x") {
- $src0 = "%rax";
- $sfx = "";
- $bias = 0;
- $code.=<<___;
- .globl ecp_nistz256_point_double
- .type ecp_nistz256_point_double,\@function,2
- .align 32
- ecp_nistz256_point_double:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- cmp \$0x80100, %ecx
- je .Lpoint_doublex
- ___
- } else {
- $src0 = "%rdx";
- $sfx = "x";
- $bias = 128;
- $code.=<<___;
- .type ecp_nistz256_point_doublex,\@function,2
- .align 32
- ecp_nistz256_point_doublex:
- .cfi_startproc
- .Lpoint_doublex:
- ___
- }
- $code.=<<___;
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- sub \$32*5+8, %rsp
- .cfi_adjust_cfa_offset 32*5+8
- .Lpoint_double${x}_body:
- .Lpoint_double_shortcut$x:
- movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$a_ptr.x
- mov $a_ptr, $b_ptr # backup copy
- movdqu 0x10($a_ptr), %xmm1
- mov 0x20+8*0($a_ptr), $acc4 # load in_y in "5-4-0-1" order
- mov 0x20+8*1($a_ptr), $acc5
- mov 0x20+8*2($a_ptr), $acc0
- mov 0x20+8*3($a_ptr), $acc1
- mov .Lpoly+8*1(%rip), $poly1
- mov .Lpoly+8*3(%rip), $poly3
- movdqa %xmm0, $in_x(%rsp)
- movdqa %xmm1, $in_x+0x10(%rsp)
- lea 0x20($r_ptr), $acc2
- lea 0x40($r_ptr), $acc3
- movq $r_ptr, %xmm0
- movq $acc2, %xmm1
- movq $acc3, %xmm2
- lea $S(%rsp), $r_ptr
- call __ecp_nistz256_mul_by_2$x # p256_mul_by_2(S, in_y);
- mov 0x40+8*0($a_ptr), $src0
- mov 0x40+8*1($a_ptr), $acc6
- mov 0x40+8*2($a_ptr), $acc7
- mov 0x40+8*3($a_ptr), $acc0
- lea 0x40-$bias($a_ptr), $a_ptr
- lea $Zsqr(%rsp), $r_ptr
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Zsqr, in_z);
- `&load_for_sqr("$S(%rsp)", "$src0")`
- lea $S(%rsp), $r_ptr
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(S, S);
- mov 0x20($b_ptr), $src0 # $b_ptr is still valid
- mov 0x40+8*0($b_ptr), $acc1
- mov 0x40+8*1($b_ptr), $acc2
- mov 0x40+8*2($b_ptr), $acc3
- mov 0x40+8*3($b_ptr), $acc4
- lea 0x40-$bias($b_ptr), $a_ptr
- lea 0x20($b_ptr), $b_ptr
- movq %xmm2, $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, in_z, in_y);
- call __ecp_nistz256_mul_by_2$x # p256_mul_by_2(res_z, res_z);
- mov $in_x+8*0(%rsp), $acc4 # "5-4-0-1" order
- mov $in_x+8*1(%rsp), $acc5
- lea $Zsqr(%rsp), $b_ptr
- mov $in_x+8*2(%rsp), $acc0
- mov $in_x+8*3(%rsp), $acc1
- lea $M(%rsp), $r_ptr
- call __ecp_nistz256_add_to$x # p256_add(M, in_x, Zsqr);
- mov $in_x+8*0(%rsp), $acc4 # "5-4-0-1" order
- mov $in_x+8*1(%rsp), $acc5
- lea $Zsqr(%rsp), $b_ptr
- mov $in_x+8*2(%rsp), $acc0
- mov $in_x+8*3(%rsp), $acc1
- lea $Zsqr(%rsp), $r_ptr
- call __ecp_nistz256_sub_from$x # p256_sub(Zsqr, in_x, Zsqr);
- `&load_for_sqr("$S(%rsp)", "$src0")`
- movq %xmm1, $r_ptr
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(res_y, S);
- ___
- {
- ######## ecp_nistz256_div_by_2(res_y, res_y); ##########################
- # operate in 4-5-6-7 "name space" that matches squaring output
- #
- my ($poly1,$poly3)=($a_ptr,$t1);
- my ($a0,$a1,$a2,$a3,$t3,$t4,$t1)=($acc4,$acc5,$acc6,$acc7,$acc0,$acc1,$acc2);
- $code.=<<___;
- xor $t4, $t4
- mov $a0, $t0
- add \$-1, $a0
- mov $a1, $t1
- adc $poly1, $a1
- mov $a2, $t2
- adc \$0, $a2
- mov $a3, $t3
- adc $poly3, $a3
- adc \$0, $t4
- xor $a_ptr, $a_ptr # borrow $a_ptr
- test \$1, $t0
- cmovz $t0, $a0
- cmovz $t1, $a1
- cmovz $t2, $a2
- cmovz $t3, $a3
- cmovz $a_ptr, $t4
- mov $a1, $t0 # a0:a3>>1
- shr \$1, $a0
- shl \$63, $t0
- mov $a2, $t1
- shr \$1, $a1
- or $t0, $a0
- shl \$63, $t1
- mov $a3, $t2
- shr \$1, $a2
- or $t1, $a1
- shl \$63, $t2
- mov $a0, 8*0($r_ptr)
- shr \$1, $a3
- mov $a1, 8*1($r_ptr)
- shl \$63, $t4
- or $t2, $a2
- or $t4, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ___
- }
- $code.=<<___;
- `&load_for_mul("$M(%rsp)", "$Zsqr(%rsp)", "$src0")`
- lea $M(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(M, M, Zsqr);
- lea $tmp0(%rsp), $r_ptr
- call __ecp_nistz256_mul_by_2$x
- lea $M(%rsp), $b_ptr
- lea $M(%rsp), $r_ptr
- call __ecp_nistz256_add_to$x # p256_mul_by_3(M, M);
- `&load_for_mul("$S(%rsp)", "$in_x(%rsp)", "$src0")`
- lea $S(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S, S, in_x);
- lea $tmp0(%rsp), $r_ptr
- call __ecp_nistz256_mul_by_2$x # p256_mul_by_2(tmp0, S);
- `&load_for_sqr("$M(%rsp)", "$src0")`
- movq %xmm0, $r_ptr
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(res_x, M);
- lea $tmp0(%rsp), $b_ptr
- mov $acc6, $acc0 # harmonize sqr output and sub input
- mov $acc7, $acc1
- mov $a_ptr, $poly1
- mov $t1, $poly3
- call __ecp_nistz256_sub_from$x # p256_sub(res_x, res_x, tmp0);
- mov $S+8*0(%rsp), $t0
- mov $S+8*1(%rsp), $t1
- mov $S+8*2(%rsp), $t2
- mov $S+8*3(%rsp), $acc2 # "4-5-0-1" order
- lea $S(%rsp), $r_ptr
- call __ecp_nistz256_sub$x # p256_sub(S, S, res_x);
- mov $M(%rsp), $src0
- lea $M(%rsp), $b_ptr
- mov $acc4, $acc6 # harmonize sub output and mul input
- xor %ecx, %ecx
- mov $acc4, $S+8*0(%rsp) # have to save:-(
- mov $acc5, $acc2
- mov $acc5, $S+8*1(%rsp)
- cmovz $acc0, $acc3
- mov $acc0, $S+8*2(%rsp)
- lea $S-$bias(%rsp), $a_ptr
- cmovz $acc1, $acc4
- mov $acc1, $S+8*3(%rsp)
- mov $acc6, $acc1
- lea $S(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S, S, M);
- movq %xmm1, $b_ptr
- movq %xmm1, $r_ptr
- call __ecp_nistz256_sub_from$x # p256_sub(res_y, S, res_y);
- lea 32*5+56(%rsp), %rsi
- .cfi_def_cfa %rsi,8
- mov -48(%rsi),%r15
- .cfi_restore %r15
- mov -40(%rsi),%r14
- .cfi_restore %r14
- mov -32(%rsi),%r13
- .cfi_restore %r13
- mov -24(%rsi),%r12
- .cfi_restore %r12
- mov -16(%rsi),%rbx
- .cfi_restore %rbx
- mov -8(%rsi),%rbp
- .cfi_restore %rbp
- lea (%rsi),%rsp
- .cfi_def_cfa_register %rsp
- .Lpoint_double${x}_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_point_double$sfx,.-ecp_nistz256_point_double$sfx
- ___
- }
- &gen_double("q");
- sub gen_add () {
- my $x = shift;
- my ($src0,$sfx,$bias);
- my ($H,$Hsqr,$R,$Rsqr,$Hcub,
- $U1,$U2,$S1,$S2,
- $res_x,$res_y,$res_z,
- $in1_x,$in1_y,$in1_z,
- $in2_x,$in2_y,$in2_z)=map(32*$_,(0..17));
- my ($Z1sqr, $Z2sqr) = ($Hsqr, $Rsqr);
- if ($x ne "x") {
- $src0 = "%rax";
- $sfx = "";
- $bias = 0;
- $code.=<<___;
- .globl ecp_nistz256_point_add
- .type ecp_nistz256_point_add,\@function,3
- .align 32
- ecp_nistz256_point_add:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- cmp \$0x80100, %ecx
- je .Lpoint_addx
- ___
- } else {
- $src0 = "%rdx";
- $sfx = "x";
- $bias = 128;
- $code.=<<___;
- .type ecp_nistz256_point_addx,\@function,3
- .align 32
- ecp_nistz256_point_addx:
- .cfi_startproc
- .Lpoint_addx:
- ___
- }
- $code.=<<___;
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- sub \$32*18+8, %rsp
- .cfi_adjust_cfa_offset 32*18+8
- .Lpoint_add${x}_body:
- movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$a_ptr
- movdqu 0x10($a_ptr), %xmm1
- movdqu 0x20($a_ptr), %xmm2
- movdqu 0x30($a_ptr), %xmm3
- movdqu 0x40($a_ptr), %xmm4
- movdqu 0x50($a_ptr), %xmm5
- mov $a_ptr, $b_ptr # reassign
- mov $b_org, $a_ptr # reassign
- movdqa %xmm0, $in1_x(%rsp)
- movdqa %xmm1, $in1_x+0x10(%rsp)
- movdqa %xmm2, $in1_y(%rsp)
- movdqa %xmm3, $in1_y+0x10(%rsp)
- movdqa %xmm4, $in1_z(%rsp)
- movdqa %xmm5, $in1_z+0x10(%rsp)
- por %xmm4, %xmm5
- movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$b_ptr
- pshufd \$0xb1, %xmm5, %xmm3
- movdqu 0x10($a_ptr), %xmm1
- movdqu 0x20($a_ptr), %xmm2
- por %xmm3, %xmm5
- movdqu 0x30($a_ptr), %xmm3
- mov 0x40+8*0($a_ptr), $src0 # load original in2_z
- mov 0x40+8*1($a_ptr), $acc6
- mov 0x40+8*2($a_ptr), $acc7
- mov 0x40+8*3($a_ptr), $acc0
- movdqa %xmm0, $in2_x(%rsp)
- pshufd \$0x1e, %xmm5, %xmm4
- movdqa %xmm1, $in2_x+0x10(%rsp)
- movdqu 0x40($a_ptr),%xmm0 # in2_z again
- movdqu 0x50($a_ptr),%xmm1
- movdqa %xmm2, $in2_y(%rsp)
- movdqa %xmm3, $in2_y+0x10(%rsp)
- por %xmm4, %xmm5
- pxor %xmm4, %xmm4
- por %xmm0, %xmm1
- movq $r_ptr, %xmm0 # save $r_ptr
- lea 0x40-$bias($a_ptr), $a_ptr # $a_ptr is still valid
- mov $src0, $in2_z+8*0(%rsp) # make in2_z copy
- mov $acc6, $in2_z+8*1(%rsp)
- mov $acc7, $in2_z+8*2(%rsp)
- mov $acc0, $in2_z+8*3(%rsp)
- lea $Z2sqr(%rsp), $r_ptr # Z2^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Z2sqr, in2_z);
- pcmpeqd %xmm4, %xmm5
- pshufd \$0xb1, %xmm1, %xmm4
- por %xmm1, %xmm4
- pshufd \$0, %xmm5, %xmm5 # in1infty
- pshufd \$0x1e, %xmm4, %xmm3
- por %xmm3, %xmm4
- pxor %xmm3, %xmm3
- pcmpeqd %xmm3, %xmm4
- pshufd \$0, %xmm4, %xmm4 # in2infty
- mov 0x40+8*0($b_ptr), $src0 # load original in1_z
- mov 0x40+8*1($b_ptr), $acc6
- mov 0x40+8*2($b_ptr), $acc7
- mov 0x40+8*3($b_ptr), $acc0
- movq $b_ptr, %xmm1
- lea 0x40-$bias($b_ptr), $a_ptr
- lea $Z1sqr(%rsp), $r_ptr # Z1^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Z1sqr, in1_z);
- `&load_for_mul("$Z2sqr(%rsp)", "$in2_z(%rsp)", "$src0")`
- lea $S1(%rsp), $r_ptr # S1 = Z2^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S1, Z2sqr, in2_z);
- `&load_for_mul("$Z1sqr(%rsp)", "$in1_z(%rsp)", "$src0")`
- lea $S2(%rsp), $r_ptr # S2 = Z1^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, Z1sqr, in1_z);
- `&load_for_mul("$S1(%rsp)", "$in1_y(%rsp)", "$src0")`
- lea $S1(%rsp), $r_ptr # S1 = Y1*Z2^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S1, S1, in1_y);
- `&load_for_mul("$S2(%rsp)", "$in2_y(%rsp)", "$src0")`
- lea $S2(%rsp), $r_ptr # S2 = Y2*Z1^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, S2, in2_y);
- lea $S1(%rsp), $b_ptr
- lea $R(%rsp), $r_ptr # R = S2 - S1
- call __ecp_nistz256_sub_from$x # p256_sub(R, S2, S1);
- or $acc5, $acc4 # see if result is zero
- movdqa %xmm4, %xmm2
- or $acc0, $acc4
- or $acc1, $acc4
- por %xmm5, %xmm2 # in1infty || in2infty
- movq $acc4, %xmm3
- `&load_for_mul("$Z2sqr(%rsp)", "$in1_x(%rsp)", "$src0")`
- lea $U1(%rsp), $r_ptr # U1 = X1*Z2^2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(U1, in1_x, Z2sqr);
- `&load_for_mul("$Z1sqr(%rsp)", "$in2_x(%rsp)", "$src0")`
- lea $U2(%rsp), $r_ptr # U2 = X2*Z1^2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, in2_x, Z1sqr);
- lea $U1(%rsp), $b_ptr
- lea $H(%rsp), $r_ptr # H = U2 - U1
- call __ecp_nistz256_sub_from$x # p256_sub(H, U2, U1);
- or $acc5, $acc4 # see if result is zero
- or $acc0, $acc4
- or $acc1, $acc4 # !is_equal(U1, U2)
- movq %xmm2, $acc0 # in1infty | in2infty
- movq %xmm3, $acc1 # !is_equal(S1, S2)
- or $acc0, $acc4
- or $acc1, $acc4
- # if (!is_equal(U1, U2) | in1infty | in2infty | !is_equal(S1, S2))
- .byte 0x3e # predict taken
- jnz .Ladd_proceed$x
- .Ladd_double$x:
- movq %xmm1, $a_ptr # restore $a_ptr
- movq %xmm0, $r_ptr # restore $r_ptr
- add \$`32*(18-5)`, %rsp # difference in frame sizes
- .cfi_adjust_cfa_offset `-32*(18-5)`
- jmp .Lpoint_double_shortcut$x
- .cfi_adjust_cfa_offset `32*(18-5)`
- .align 32
- .Ladd_proceed$x:
- `&load_for_sqr("$R(%rsp)", "$src0")`
- lea $Rsqr(%rsp), $r_ptr # R^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Rsqr, R);
- `&load_for_mul("$H(%rsp)", "$in1_z(%rsp)", "$src0")`
- lea $res_z(%rsp), $r_ptr # Z3 = H*Z1*Z2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, H, in1_z);
- `&load_for_sqr("$H(%rsp)", "$src0")`
- lea $Hsqr(%rsp), $r_ptr # H^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Hsqr, H);
- `&load_for_mul("$res_z(%rsp)", "$in2_z(%rsp)", "$src0")`
- lea $res_z(%rsp), $r_ptr # Z3 = H*Z1*Z2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, res_z, in2_z);
- `&load_for_mul("$Hsqr(%rsp)", "$H(%rsp)", "$src0")`
- lea $Hcub(%rsp), $r_ptr # H^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(Hcub, Hsqr, H);
- `&load_for_mul("$Hsqr(%rsp)", "$U1(%rsp)", "$src0")`
- lea $U2(%rsp), $r_ptr # U1*H^2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, U1, Hsqr);
- ___
- {
- #######################################################################
- # operate in 4-5-0-1 "name space" that matches multiplication output
- #
- my ($acc0,$acc1,$acc2,$acc3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3);
- my ($poly1, $poly3)=($acc6,$acc7);
- $code.=<<___;
- #lea $U2(%rsp), $a_ptr
- #lea $Hsqr(%rsp), $r_ptr # 2*U1*H^2
- #call __ecp_nistz256_mul_by_2 # ecp_nistz256_mul_by_2(Hsqr, U2);
- xor $t4, $t4
- add $acc0, $acc0 # a0:a3+a0:a3
- lea $Rsqr(%rsp), $a_ptr
- adc $acc1, $acc1
- mov $acc0, $t0
- adc $acc2, $acc2
- adc $acc3, $acc3
- mov $acc1, $t1
- adc \$0, $t4
- sub \$-1, $acc0
- mov $acc2, $t2
- sbb $poly1, $acc1
- sbb \$0, $acc2
- mov $acc3, $t3
- sbb $poly3, $acc3
- sbb \$0, $t4
- cmovc $t0, $acc0
- mov 8*0($a_ptr), $t0
- cmovc $t1, $acc1
- mov 8*1($a_ptr), $t1
- cmovc $t2, $acc2
- mov 8*2($a_ptr), $t2
- cmovc $t3, $acc3
- mov 8*3($a_ptr), $t3
- call __ecp_nistz256_sub$x # p256_sub(res_x, Rsqr, Hsqr);
- lea $Hcub(%rsp), $b_ptr
- lea $res_x(%rsp), $r_ptr
- call __ecp_nistz256_sub_from$x # p256_sub(res_x, res_x, Hcub);
- mov $U2+8*0(%rsp), $t0
- mov $U2+8*1(%rsp), $t1
- mov $U2+8*2(%rsp), $t2
- mov $U2+8*3(%rsp), $t3
- lea $res_y(%rsp), $r_ptr
- call __ecp_nistz256_sub$x # p256_sub(res_y, U2, res_x);
- mov $acc0, 8*0($r_ptr) # save the result, as
- mov $acc1, 8*1($r_ptr) # __ecp_nistz256_sub doesn't
- mov $acc2, 8*2($r_ptr)
- mov $acc3, 8*3($r_ptr)
- ___
- }
- $code.=<<___;
- `&load_for_mul("$S1(%rsp)", "$Hcub(%rsp)", "$src0")`
- lea $S2(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, S1, Hcub);
- `&load_for_mul("$R(%rsp)", "$res_y(%rsp)", "$src0")`
- lea $res_y(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_y, R, res_y);
- lea $S2(%rsp), $b_ptr
- lea $res_y(%rsp), $r_ptr
- call __ecp_nistz256_sub_from$x # p256_sub(res_y, res_y, S2);
- movq %xmm0, $r_ptr # restore $r_ptr
- movdqa %xmm5, %xmm0 # copy_conditional(res_z, in2_z, in1infty);
- movdqa %xmm5, %xmm1
- pandn $res_z(%rsp), %xmm0
- movdqa %xmm5, %xmm2
- pandn $res_z+0x10(%rsp), %xmm1
- movdqa %xmm5, %xmm3
- pand $in2_z(%rsp), %xmm2
- pand $in2_z+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqa %xmm4, %xmm0 # copy_conditional(res_z, in1_z, in2infty);
- movdqa %xmm4, %xmm1
- pandn %xmm2, %xmm0
- movdqa %xmm4, %xmm2
- pandn %xmm3, %xmm1
- movdqa %xmm4, %xmm3
- pand $in1_z(%rsp), %xmm2
- pand $in1_z+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqu %xmm2, 0x40($r_ptr)
- movdqu %xmm3, 0x50($r_ptr)
- movdqa %xmm5, %xmm0 # copy_conditional(res_x, in2_x, in1infty);
- movdqa %xmm5, %xmm1
- pandn $res_x(%rsp), %xmm0
- movdqa %xmm5, %xmm2
- pandn $res_x+0x10(%rsp), %xmm1
- movdqa %xmm5, %xmm3
- pand $in2_x(%rsp), %xmm2
- pand $in2_x+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqa %xmm4, %xmm0 # copy_conditional(res_x, in1_x, in2infty);
- movdqa %xmm4, %xmm1
- pandn %xmm2, %xmm0
- movdqa %xmm4, %xmm2
- pandn %xmm3, %xmm1
- movdqa %xmm4, %xmm3
- pand $in1_x(%rsp), %xmm2
- pand $in1_x+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqu %xmm2, 0x00($r_ptr)
- movdqu %xmm3, 0x10($r_ptr)
- movdqa %xmm5, %xmm0 # copy_conditional(res_y, in2_y, in1infty);
- movdqa %xmm5, %xmm1
- pandn $res_y(%rsp), %xmm0
- movdqa %xmm5, %xmm2
- pandn $res_y+0x10(%rsp), %xmm1
- movdqa %xmm5, %xmm3
- pand $in2_y(%rsp), %xmm2
- pand $in2_y+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqa %xmm4, %xmm0 # copy_conditional(res_y, in1_y, in2infty);
- movdqa %xmm4, %xmm1
- pandn %xmm2, %xmm0
- movdqa %xmm4, %xmm2
- pandn %xmm3, %xmm1
- movdqa %xmm4, %xmm3
- pand $in1_y(%rsp), %xmm2
- pand $in1_y+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqu %xmm2, 0x20($r_ptr)
- movdqu %xmm3, 0x30($r_ptr)
- .Ladd_done$x:
- lea 32*18+56(%rsp), %rsi
- .cfi_def_cfa %rsi,8
- mov -48(%rsi),%r15
- .cfi_restore %r15
- mov -40(%rsi),%r14
- .cfi_restore %r14
- mov -32(%rsi),%r13
- .cfi_restore %r13
- mov -24(%rsi),%r12
- .cfi_restore %r12
- mov -16(%rsi),%rbx
- .cfi_restore %rbx
- mov -8(%rsi),%rbp
- .cfi_restore %rbp
- lea (%rsi),%rsp
- .cfi_def_cfa_register %rsp
- .Lpoint_add${x}_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_point_add$sfx,.-ecp_nistz256_point_add$sfx
- ___
- }
- &gen_add("q");
- sub gen_add_affine () {
- my $x = shift;
- my ($src0,$sfx,$bias);
- my ($U2,$S2,$H,$R,$Hsqr,$Hcub,$Rsqr,
- $res_x,$res_y,$res_z,
- $in1_x,$in1_y,$in1_z,
- $in2_x,$in2_y)=map(32*$_,(0..14));
- my $Z1sqr = $S2;
- if ($x ne "x") {
- $src0 = "%rax";
- $sfx = "";
- $bias = 0;
- $code.=<<___;
- .globl ecp_nistz256_point_add_affine
- .type ecp_nistz256_point_add_affine,\@function,3
- .align 32
- ecp_nistz256_point_add_affine:
- .cfi_startproc
- ___
- $code.=<<___ if ($addx);
- mov \$0x80100, %ecx
- and OPENSSL_ia32cap_P+8(%rip), %ecx
- cmp \$0x80100, %ecx
- je .Lpoint_add_affinex
- ___
- } else {
- $src0 = "%rdx";
- $sfx = "x";
- $bias = 128;
- $code.=<<___;
- .type ecp_nistz256_point_add_affinex,\@function,3
- .align 32
- ecp_nistz256_point_add_affinex:
- .cfi_startproc
- .Lpoint_add_affinex:
- ___
- }
- $code.=<<___;
- push %rbp
- .cfi_push %rbp
- push %rbx
- .cfi_push %rbx
- push %r12
- .cfi_push %r12
- push %r13
- .cfi_push %r13
- push %r14
- .cfi_push %r14
- push %r15
- .cfi_push %r15
- sub \$32*15+8, %rsp
- .cfi_adjust_cfa_offset 32*15+8
- .Ladd_affine${x}_body:
- movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$a_ptr
- mov $b_org, $b_ptr # reassign
- movdqu 0x10($a_ptr), %xmm1
- movdqu 0x20($a_ptr), %xmm2
- movdqu 0x30($a_ptr), %xmm3
- movdqu 0x40($a_ptr), %xmm4
- movdqu 0x50($a_ptr), %xmm5
- mov 0x40+8*0($a_ptr), $src0 # load original in1_z
- mov 0x40+8*1($a_ptr), $acc6
- mov 0x40+8*2($a_ptr), $acc7
- mov 0x40+8*3($a_ptr), $acc0
- movdqa %xmm0, $in1_x(%rsp)
- movdqa %xmm1, $in1_x+0x10(%rsp)
- movdqa %xmm2, $in1_y(%rsp)
- movdqa %xmm3, $in1_y+0x10(%rsp)
- movdqa %xmm4, $in1_z(%rsp)
- movdqa %xmm5, $in1_z+0x10(%rsp)
- por %xmm4, %xmm5
- movdqu 0x00($b_ptr), %xmm0 # copy *(P256_POINT_AFFINE *)$b_ptr
- pshufd \$0xb1, %xmm5, %xmm3
- movdqu 0x10($b_ptr), %xmm1
- movdqu 0x20($b_ptr), %xmm2
- por %xmm3, %xmm5
- movdqu 0x30($b_ptr), %xmm3
- movdqa %xmm0, $in2_x(%rsp)
- pshufd \$0x1e, %xmm5, %xmm4
- movdqa %xmm1, $in2_x+0x10(%rsp)
- por %xmm0, %xmm1
- movq $r_ptr, %xmm0 # save $r_ptr
- movdqa %xmm2, $in2_y(%rsp)
- movdqa %xmm3, $in2_y+0x10(%rsp)
- por %xmm2, %xmm3
- por %xmm4, %xmm5
- pxor %xmm4, %xmm4
- por %xmm1, %xmm3
- lea 0x40-$bias($a_ptr), $a_ptr # $a_ptr is still valid
- lea $Z1sqr(%rsp), $r_ptr # Z1^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Z1sqr, in1_z);
- pcmpeqd %xmm4, %xmm5
- pshufd \$0xb1, %xmm3, %xmm4
- mov 0x00($b_ptr), $src0 # $b_ptr is still valid
- #lea 0x00($b_ptr), $b_ptr
- mov $acc4, $acc1 # harmonize sqr output and mul input
- por %xmm3, %xmm4
- pshufd \$0, %xmm5, %xmm5 # in1infty
- pshufd \$0x1e, %xmm4, %xmm3
- mov $acc5, $acc2
- por %xmm3, %xmm4
- pxor %xmm3, %xmm3
- mov $acc6, $acc3
- pcmpeqd %xmm3, %xmm4
- pshufd \$0, %xmm4, %xmm4 # in2infty
- lea $Z1sqr-$bias(%rsp), $a_ptr
- mov $acc7, $acc4
- lea $U2(%rsp), $r_ptr # U2 = X2*Z1^2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, Z1sqr, in2_x);
- lea $in1_x(%rsp), $b_ptr
- lea $H(%rsp), $r_ptr # H = U2 - U1
- call __ecp_nistz256_sub_from$x # p256_sub(H, U2, in1_x);
- `&load_for_mul("$Z1sqr(%rsp)", "$in1_z(%rsp)", "$src0")`
- lea $S2(%rsp), $r_ptr # S2 = Z1^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, Z1sqr, in1_z);
- `&load_for_mul("$H(%rsp)", "$in1_z(%rsp)", "$src0")`
- lea $res_z(%rsp), $r_ptr # Z3 = H*Z1*Z2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, H, in1_z);
- `&load_for_mul("$S2(%rsp)", "$in2_y(%rsp)", "$src0")`
- lea $S2(%rsp), $r_ptr # S2 = Y2*Z1^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, S2, in2_y);
- lea $in1_y(%rsp), $b_ptr
- lea $R(%rsp), $r_ptr # R = S2 - S1
- call __ecp_nistz256_sub_from$x # p256_sub(R, S2, in1_y);
- `&load_for_sqr("$H(%rsp)", "$src0")`
- lea $Hsqr(%rsp), $r_ptr # H^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Hsqr, H);
- `&load_for_sqr("$R(%rsp)", "$src0")`
- lea $Rsqr(%rsp), $r_ptr # R^2
- call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Rsqr, R);
- `&load_for_mul("$H(%rsp)", "$Hsqr(%rsp)", "$src0")`
- lea $Hcub(%rsp), $r_ptr # H^3
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(Hcub, Hsqr, H);
- `&load_for_mul("$Hsqr(%rsp)", "$in1_x(%rsp)", "$src0")`
- lea $U2(%rsp), $r_ptr # U1*H^2
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, in1_x, Hsqr);
- ___
- {
- #######################################################################
- # operate in 4-5-0-1 "name space" that matches multiplication output
- #
- my ($acc0,$acc1,$acc2,$acc3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3);
- my ($poly1, $poly3)=($acc6,$acc7);
- $code.=<<___;
- #lea $U2(%rsp), $a_ptr
- #lea $Hsqr(%rsp), $r_ptr # 2*U1*H^2
- #call __ecp_nistz256_mul_by_2 # ecp_nistz256_mul_by_2(Hsqr, U2);
- xor $t4, $t4
- add $acc0, $acc0 # a0:a3+a0:a3
- lea $Rsqr(%rsp), $a_ptr
- adc $acc1, $acc1
- mov $acc0, $t0
- adc $acc2, $acc2
- adc $acc3, $acc3
- mov $acc1, $t1
- adc \$0, $t4
- sub \$-1, $acc0
- mov $acc2, $t2
- sbb $poly1, $acc1
- sbb \$0, $acc2
- mov $acc3, $t3
- sbb $poly3, $acc3
- sbb \$0, $t4
- cmovc $t0, $acc0
- mov 8*0($a_ptr), $t0
- cmovc $t1, $acc1
- mov 8*1($a_ptr), $t1
- cmovc $t2, $acc2
- mov 8*2($a_ptr), $t2
- cmovc $t3, $acc3
- mov 8*3($a_ptr), $t3
- call __ecp_nistz256_sub$x # p256_sub(res_x, Rsqr, Hsqr);
- lea $Hcub(%rsp), $b_ptr
- lea $res_x(%rsp), $r_ptr
- call __ecp_nistz256_sub_from$x # p256_sub(res_x, res_x, Hcub);
- mov $U2+8*0(%rsp), $t0
- mov $U2+8*1(%rsp), $t1
- mov $U2+8*2(%rsp), $t2
- mov $U2+8*3(%rsp), $t3
- lea $H(%rsp), $r_ptr
- call __ecp_nistz256_sub$x # p256_sub(H, U2, res_x);
- mov $acc0, 8*0($r_ptr) # save the result, as
- mov $acc1, 8*1($r_ptr) # __ecp_nistz256_sub doesn't
- mov $acc2, 8*2($r_ptr)
- mov $acc3, 8*3($r_ptr)
- ___
- }
- $code.=<<___;
- `&load_for_mul("$Hcub(%rsp)", "$in1_y(%rsp)", "$src0")`
- lea $S2(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, Hcub, in1_y);
- `&load_for_mul("$H(%rsp)", "$R(%rsp)", "$src0")`
- lea $H(%rsp), $r_ptr
- call __ecp_nistz256_mul_mont$x # p256_mul_mont(H, H, R);
- lea $S2(%rsp), $b_ptr
- lea $res_y(%rsp), $r_ptr
- call __ecp_nistz256_sub_from$x # p256_sub(res_y, H, S2);
- movq %xmm0, $r_ptr # restore $r_ptr
- movdqa %xmm5, %xmm0 # copy_conditional(res_z, ONE, in1infty);
- movdqa %xmm5, %xmm1
- pandn $res_z(%rsp), %xmm0
- movdqa %xmm5, %xmm2
- pandn $res_z+0x10(%rsp), %xmm1
- movdqa %xmm5, %xmm3
- pand .LONE_mont(%rip), %xmm2
- pand .LONE_mont+0x10(%rip), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqa %xmm4, %xmm0 # copy_conditional(res_z, in1_z, in2infty);
- movdqa %xmm4, %xmm1
- pandn %xmm2, %xmm0
- movdqa %xmm4, %xmm2
- pandn %xmm3, %xmm1
- movdqa %xmm4, %xmm3
- pand $in1_z(%rsp), %xmm2
- pand $in1_z+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqu %xmm2, 0x40($r_ptr)
- movdqu %xmm3, 0x50($r_ptr)
- movdqa %xmm5, %xmm0 # copy_conditional(res_x, in2_x, in1infty);
- movdqa %xmm5, %xmm1
- pandn $res_x(%rsp), %xmm0
- movdqa %xmm5, %xmm2
- pandn $res_x+0x10(%rsp), %xmm1
- movdqa %xmm5, %xmm3
- pand $in2_x(%rsp), %xmm2
- pand $in2_x+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqa %xmm4, %xmm0 # copy_conditional(res_x, in1_x, in2infty);
- movdqa %xmm4, %xmm1
- pandn %xmm2, %xmm0
- movdqa %xmm4, %xmm2
- pandn %xmm3, %xmm1
- movdqa %xmm4, %xmm3
- pand $in1_x(%rsp), %xmm2
- pand $in1_x+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqu %xmm2, 0x00($r_ptr)
- movdqu %xmm3, 0x10($r_ptr)
- movdqa %xmm5, %xmm0 # copy_conditional(res_y, in2_y, in1infty);
- movdqa %xmm5, %xmm1
- pandn $res_y(%rsp), %xmm0
- movdqa %xmm5, %xmm2
- pandn $res_y+0x10(%rsp), %xmm1
- movdqa %xmm5, %xmm3
- pand $in2_y(%rsp), %xmm2
- pand $in2_y+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqa %xmm4, %xmm0 # copy_conditional(res_y, in1_y, in2infty);
- movdqa %xmm4, %xmm1
- pandn %xmm2, %xmm0
- movdqa %xmm4, %xmm2
- pandn %xmm3, %xmm1
- movdqa %xmm4, %xmm3
- pand $in1_y(%rsp), %xmm2
- pand $in1_y+0x10(%rsp), %xmm3
- por %xmm0, %xmm2
- por %xmm1, %xmm3
- movdqu %xmm2, 0x20($r_ptr)
- movdqu %xmm3, 0x30($r_ptr)
- lea 32*15+56(%rsp), %rsi
- .cfi_def_cfa %rsi,8
- mov -48(%rsi),%r15
- .cfi_restore %r15
- mov -40(%rsi),%r14
- .cfi_restore %r14
- mov -32(%rsi),%r13
- .cfi_restore %r13
- mov -24(%rsi),%r12
- .cfi_restore %r12
- mov -16(%rsi),%rbx
- .cfi_restore %rbx
- mov -8(%rsi),%rbp
- .cfi_restore %rbp
- lea (%rsi),%rsp
- .cfi_def_cfa_register %rsp
- .Ladd_affine${x}_epilogue:
- ret
- .cfi_endproc
- .size ecp_nistz256_point_add_affine$sfx,.-ecp_nistz256_point_add_affine$sfx
- ___
- }
- &gen_add_affine("q");
- ########################################################################
- # AD*X magic
- #
- if ($addx) { {
- ########################################################################
- # operate in 4-5-0-1 "name space" that matches multiplication output
- #
- my ($a0,$a1,$a2,$a3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3);
- $code.=<<___;
- .type __ecp_nistz256_add_tox,\@abi-omnipotent
- .align 32
- __ecp_nistz256_add_tox:
- .cfi_startproc
- xor $t4, $t4
- adc 8*0($b_ptr), $a0
- adc 8*1($b_ptr), $a1
- mov $a0, $t0
- adc 8*2($b_ptr), $a2
- adc 8*3($b_ptr), $a3
- mov $a1, $t1
- adc \$0, $t4
- xor $t3, $t3
- sbb \$-1, $a0
- mov $a2, $t2
- sbb $poly1, $a1
- sbb \$0, $a2
- mov $a3, $t3
- sbb $poly3, $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_add_tox,.-__ecp_nistz256_add_tox
- .type __ecp_nistz256_sub_fromx,\@abi-omnipotent
- .align 32
- __ecp_nistz256_sub_fromx:
- .cfi_startproc
- xor $t4, $t4
- sbb 8*0($b_ptr), $a0
- sbb 8*1($b_ptr), $a1
- mov $a0, $t0
- sbb 8*2($b_ptr), $a2
- sbb 8*3($b_ptr), $a3
- mov $a1, $t1
- sbb \$0, $t4
- xor $t3, $t3
- adc \$-1, $a0
- mov $a2, $t2
- adc $poly1, $a1
- adc \$0, $a2
- mov $a3, $t3
- adc $poly3, $a3
- bt \$0, $t4
- cmovnc $t0, $a0
- cmovnc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovnc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovnc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_sub_fromx,.-__ecp_nistz256_sub_fromx
- .type __ecp_nistz256_subx,\@abi-omnipotent
- .align 32
- __ecp_nistz256_subx:
- .cfi_startproc
- xor $t4, $t4
- sbb $a0, $t0
- sbb $a1, $t1
- mov $t0, $a0
- sbb $a2, $t2
- sbb $a3, $t3
- mov $t1, $a1
- sbb \$0, $t4
- xor $a3 ,$a3
- adc \$-1, $t0
- mov $t2, $a2
- adc $poly1, $t1
- adc \$0, $t2
- mov $t3, $a3
- adc $poly3, $t3
- bt \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- cmovc $t2, $a2
- cmovc $t3, $a3
- ret
- .cfi_endproc
- .size __ecp_nistz256_subx,.-__ecp_nistz256_subx
- .type __ecp_nistz256_mul_by_2x,\@abi-omnipotent
- .align 32
- __ecp_nistz256_mul_by_2x:
- .cfi_startproc
- xor $t4, $t4
- adc $a0, $a0 # a0:a3+a0:a3
- adc $a1, $a1
- mov $a0, $t0
- adc $a2, $a2
- adc $a3, $a3
- mov $a1, $t1
- adc \$0, $t4
- xor $t3, $t3
- sbb \$-1, $a0
- mov $a2, $t2
- sbb $poly1, $a1
- sbb \$0, $a2
- mov $a3, $t3
- sbb $poly3, $a3
- sbb \$0, $t4
- cmovc $t0, $a0
- cmovc $t1, $a1
- mov $a0, 8*0($r_ptr)
- cmovc $t2, $a2
- mov $a1, 8*1($r_ptr)
- cmovc $t3, $a3
- mov $a2, 8*2($r_ptr)
- mov $a3, 8*3($r_ptr)
- ret
- .cfi_endproc
- .size __ecp_nistz256_mul_by_2x,.-__ecp_nistz256_mul_by_2x
- ___
- }
- &gen_double("x");
- &gen_add("x");
- &gen_add_affine("x");
- }
- }}}
- # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
- # CONTEXT *context,DISPATCHER_CONTEXT *disp)
- if ($win64) {
- $rec="%rcx";
- $frame="%rdx";
- $context="%r8";
- $disp="%r9";
- $code.=<<___;
- .extern __imp_RtlVirtualUnwind
- .type short_handler,\@abi-omnipotent
- .align 16
- short_handler:
- push %rsi
- push %rdi
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
- pushfq
- sub \$64,%rsp
- mov 120($context),%rax # pull context->Rax
- mov 248($context),%rbx # pull context->Rip
- mov 8($disp),%rsi # disp->ImageBase
- mov 56($disp),%r11 # disp->HandlerData
- mov 0(%r11),%r10d # HandlerData[0]
- lea (%rsi,%r10),%r10 # end of prologue label
- cmp %r10,%rbx # context->Rip<end of prologue label
- jb .Lcommon_seh_tail
- mov 152($context),%rax # pull context->Rsp
- mov 4(%r11),%r10d # HandlerData[1]
- lea (%rsi,%r10),%r10 # epilogue label
- cmp %r10,%rbx # context->Rip>=epilogue label
- jae .Lcommon_seh_tail
- lea 16(%rax),%rax
- mov -8(%rax),%r12
- mov -16(%rax),%r13
- mov %r12,216($context) # restore context->R12
- mov %r13,224($context) # restore context->R13
- jmp .Lcommon_seh_tail
- .size short_handler,.-short_handler
- .type full_handler,\@abi-omnipotent
- .align 16
- full_handler:
- push %rsi
- push %rdi
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
- pushfq
- sub \$64,%rsp
- mov 120($context),%rax # pull context->Rax
- mov 248($context),%rbx # pull context->Rip
- mov 8($disp),%rsi # disp->ImageBase
- mov 56($disp),%r11 # disp->HandlerData
- mov 0(%r11),%r10d # HandlerData[0]
- lea (%rsi,%r10),%r10 # end of prologue label
- cmp %r10,%rbx # context->Rip<end of prologue label
- jb .Lcommon_seh_tail
- mov 152($context),%rax # pull context->Rsp
- mov 4(%r11),%r10d # HandlerData[1]
- lea (%rsi,%r10),%r10 # epilogue label
- cmp %r10,%rbx # context->Rip>=epilogue label
- jae .Lcommon_seh_tail
- mov 8(%r11),%r10d # HandlerData[2]
- lea (%rax,%r10),%rax
- mov -8(%rax),%rbp
- mov -16(%rax),%rbx
- mov -24(%rax),%r12
- mov -32(%rax),%r13
- mov -40(%rax),%r14
- mov -48(%rax),%r15
- mov %rbx,144($context) # restore context->Rbx
- mov %rbp,160($context) # restore context->Rbp
- mov %r12,216($context) # restore context->R12
- mov %r13,224($context) # restore context->R13
- mov %r14,232($context) # restore context->R14
- mov %r15,240($context) # restore context->R15
- .Lcommon_seh_tail:
- mov 8(%rax),%rdi
- mov 16(%rax),%rsi
- mov %rax,152($context) # restore context->Rsp
- mov %rsi,168($context) # restore context->Rsi
- mov %rdi,176($context) # restore context->Rdi
- mov 40($disp),%rdi # disp->ContextRecord
- mov $context,%rsi # context
- mov \$154,%ecx # sizeof(CONTEXT)
- .long 0xa548f3fc # cld; rep movsq
- mov $disp,%rsi
- xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
- mov 8(%rsi),%rdx # arg2, disp->ImageBase
- mov 0(%rsi),%r8 # arg3, disp->ControlPc
- mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
- mov 40(%rsi),%r10 # disp->ContextRecord
- lea 56(%rsi),%r11 # &disp->HandlerData
- lea 24(%rsi),%r12 # &disp->EstablisherFrame
- mov %r10,32(%rsp) # arg5
- mov %r11,40(%rsp) # arg6
- mov %r12,48(%rsp) # arg7
- mov %rcx,56(%rsp) # arg8, (NULL)
- call *__imp_RtlVirtualUnwind(%rip)
- mov \$1,%eax # ExceptionContinueSearch
- add \$64,%rsp
- popfq
- pop %r15
- pop %r14
- pop %r13
- pop %r12
- pop %rbp
- pop %rbx
- pop %rdi
- pop %rsi
- ret
- .size full_handler,.-full_handler
- .section .pdata
- .align 4
- .rva .LSEH_begin_ecp_nistz256_mul_by_2
- .rva .LSEH_end_ecp_nistz256_mul_by_2
- .rva .LSEH_info_ecp_nistz256_mul_by_2
- .rva .LSEH_begin_ecp_nistz256_div_by_2
- .rva .LSEH_end_ecp_nistz256_div_by_2
- .rva .LSEH_info_ecp_nistz256_div_by_2
- .rva .LSEH_begin_ecp_nistz256_mul_by_3
- .rva .LSEH_end_ecp_nistz256_mul_by_3
- .rva .LSEH_info_ecp_nistz256_mul_by_3
- .rva .LSEH_begin_ecp_nistz256_add
- .rva .LSEH_end_ecp_nistz256_add
- .rva .LSEH_info_ecp_nistz256_add
- .rva .LSEH_begin_ecp_nistz256_sub
- .rva .LSEH_end_ecp_nistz256_sub
- .rva .LSEH_info_ecp_nistz256_sub
- .rva .LSEH_begin_ecp_nistz256_neg
- .rva .LSEH_end_ecp_nistz256_neg
- .rva .LSEH_info_ecp_nistz256_neg
- .rva .LSEH_begin_ecp_nistz256_ord_mul_mont
- .rva .LSEH_end_ecp_nistz256_ord_mul_mont
- .rva .LSEH_info_ecp_nistz256_ord_mul_mont
- .rva .LSEH_begin_ecp_nistz256_ord_sqr_mont
- .rva .LSEH_end_ecp_nistz256_ord_sqr_mont
- .rva .LSEH_info_ecp_nistz256_ord_sqr_mont
- ___
- $code.=<<___ if ($addx);
- .rva .LSEH_begin_ecp_nistz256_ord_mul_montx
- .rva .LSEH_end_ecp_nistz256_ord_mul_montx
- .rva .LSEH_info_ecp_nistz256_ord_mul_montx
- .rva .LSEH_begin_ecp_nistz256_ord_sqr_montx
- .rva .LSEH_end_ecp_nistz256_ord_sqr_montx
- .rva .LSEH_info_ecp_nistz256_ord_sqr_montx
- ___
- $code.=<<___;
- .rva .LSEH_begin_ecp_nistz256_to_mont
- .rva .LSEH_end_ecp_nistz256_to_mont
- .rva .LSEH_info_ecp_nistz256_to_mont
- .rva .LSEH_begin_ecp_nistz256_mul_mont
- .rva .LSEH_end_ecp_nistz256_mul_mont
- .rva .LSEH_info_ecp_nistz256_mul_mont
- .rva .LSEH_begin_ecp_nistz256_sqr_mont
- .rva .LSEH_end_ecp_nistz256_sqr_mont
- .rva .LSEH_info_ecp_nistz256_sqr_mont
- .rva .LSEH_begin_ecp_nistz256_from_mont
- .rva .LSEH_end_ecp_nistz256_from_mont
- .rva .LSEH_info_ecp_nistz256_from_mont
- .rva .LSEH_begin_ecp_nistz256_gather_w5
- .rva .LSEH_end_ecp_nistz256_gather_w5
- .rva .LSEH_info_ecp_nistz256_gather_wX
- .rva .LSEH_begin_ecp_nistz256_gather_w7
- .rva .LSEH_end_ecp_nistz256_gather_w7
- .rva .LSEH_info_ecp_nistz256_gather_wX
- ___
- $code.=<<___ if ($avx>1);
- .rva .LSEH_begin_ecp_nistz256_avx2_gather_w5
- .rva .LSEH_end_ecp_nistz256_avx2_gather_w5
- .rva .LSEH_info_ecp_nistz256_avx2_gather_wX
- .rva .LSEH_begin_ecp_nistz256_avx2_gather_w7
- .rva .LSEH_end_ecp_nistz256_avx2_gather_w7
- .rva .LSEH_info_ecp_nistz256_avx2_gather_wX
- ___
- $code.=<<___;
- .rva .LSEH_begin_ecp_nistz256_point_double
- .rva .LSEH_end_ecp_nistz256_point_double
- .rva .LSEH_info_ecp_nistz256_point_double
- .rva .LSEH_begin_ecp_nistz256_point_add
- .rva .LSEH_end_ecp_nistz256_point_add
- .rva .LSEH_info_ecp_nistz256_point_add
- .rva .LSEH_begin_ecp_nistz256_point_add_affine
- .rva .LSEH_end_ecp_nistz256_point_add_affine
- .rva .LSEH_info_ecp_nistz256_point_add_affine
- ___
- $code.=<<___ if ($addx);
- .rva .LSEH_begin_ecp_nistz256_point_doublex
- .rva .LSEH_end_ecp_nistz256_point_doublex
- .rva .LSEH_info_ecp_nistz256_point_doublex
- .rva .LSEH_begin_ecp_nistz256_point_addx
- .rva .LSEH_end_ecp_nistz256_point_addx
- .rva .LSEH_info_ecp_nistz256_point_addx
- .rva .LSEH_begin_ecp_nistz256_point_add_affinex
- .rva .LSEH_end_ecp_nistz256_point_add_affinex
- .rva .LSEH_info_ecp_nistz256_point_add_affinex
- ___
- $code.=<<___;
- .section .xdata
- .align 8
- .LSEH_info_ecp_nistz256_mul_by_2:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Lmul_by_2_body,.Lmul_by_2_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_div_by_2:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Ldiv_by_2_body,.Ldiv_by_2_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_mul_by_3:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Lmul_by_3_body,.Lmul_by_3_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_add:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Ladd_body,.Ladd_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_sub:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Lsub_body,.Lsub_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_neg:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Lneg_body,.Lneg_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_ord_mul_mont:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lord_mul_body,.Lord_mul_epilogue # HandlerData[]
- .long 48,0
- .LSEH_info_ecp_nistz256_ord_sqr_mont:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lord_sqr_body,.Lord_sqr_epilogue # HandlerData[]
- .long 48,0
- ___
- $code.=<<___ if ($addx);
- .LSEH_info_ecp_nistz256_ord_mul_montx:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lord_mulx_body,.Lord_mulx_epilogue # HandlerData[]
- .long 48,0
- .LSEH_info_ecp_nistz256_ord_sqr_montx:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lord_sqrx_body,.Lord_sqrx_epilogue # HandlerData[]
- .long 48,0
- ___
- $code.=<<___;
- .LSEH_info_ecp_nistz256_to_mont:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lmul_body,.Lmul_epilogue # HandlerData[]
- .long 48,0
- .LSEH_info_ecp_nistz256_mul_mont:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lmul_body,.Lmul_epilogue # HandlerData[]
- .long 48,0
- .LSEH_info_ecp_nistz256_sqr_mont:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lsqr_body,.Lsqr_epilogue # HandlerData[]
- .long 48,0
- .LSEH_info_ecp_nistz256_from_mont:
- .byte 9,0,0,0
- .rva short_handler
- .rva .Lfrom_body,.Lfrom_epilogue # HandlerData[]
- .LSEH_info_ecp_nistz256_gather_wX:
- .byte 0x01,0x33,0x16,0x00
- .byte 0x33,0xf8,0x09,0x00 #movaps 0x90(rsp),xmm15
- .byte 0x2e,0xe8,0x08,0x00 #movaps 0x80(rsp),xmm14
- .byte 0x29,0xd8,0x07,0x00 #movaps 0x70(rsp),xmm13
- .byte 0x24,0xc8,0x06,0x00 #movaps 0x60(rsp),xmm12
- .byte 0x1f,0xb8,0x05,0x00 #movaps 0x50(rsp),xmm11
- .byte 0x1a,0xa8,0x04,0x00 #movaps 0x40(rsp),xmm10
- .byte 0x15,0x98,0x03,0x00 #movaps 0x30(rsp),xmm9
- .byte 0x10,0x88,0x02,0x00 #movaps 0x20(rsp),xmm8
- .byte 0x0c,0x78,0x01,0x00 #movaps 0x10(rsp),xmm7
- .byte 0x08,0x68,0x00,0x00 #movaps 0x00(rsp),xmm6
- .byte 0x04,0x01,0x15,0x00 #sub rsp,0xa8
- .align 8
- ___
- $code.=<<___ if ($avx>1);
- .LSEH_info_ecp_nistz256_avx2_gather_wX:
- .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
- .align 8
- ___
- $code.=<<___;
- .LSEH_info_ecp_nistz256_point_double:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lpoint_doubleq_body,.Lpoint_doubleq_epilogue # HandlerData[]
- .long 32*5+56,0
- .LSEH_info_ecp_nistz256_point_add:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lpoint_addq_body,.Lpoint_addq_epilogue # HandlerData[]
- .long 32*18+56,0
- .LSEH_info_ecp_nistz256_point_add_affine:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Ladd_affineq_body,.Ladd_affineq_epilogue # HandlerData[]
- .long 32*15+56,0
- ___
- $code.=<<___ if ($addx);
- .align 8
- .LSEH_info_ecp_nistz256_point_doublex:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lpoint_doublex_body,.Lpoint_doublex_epilogue # HandlerData[]
- .long 32*5+56,0
- .LSEH_info_ecp_nistz256_point_addx:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Lpoint_addx_body,.Lpoint_addx_epilogue # HandlerData[]
- .long 32*18+56,0
- .LSEH_info_ecp_nistz256_point_add_affinex:
- .byte 9,0,0,0
- .rva full_handler
- .rva .Ladd_affinex_body,.Ladd_affinex_epilogue # HandlerData[]
- .long 32*15+56,0
- ___
- }
- ########################################################################
- # Convert ecp_nistz256_table.c to layout expected by ecp_nistz_gather_w7
- #
- open TABLE,"<ecp_nistz256_table.c" or
- open TABLE,"<${dir}../ecp_nistz256_table.c" or
- die "failed to open ecp_nistz256_table.c:",$!;
- use integer;
- foreach(<TABLE>) {
- s/TOBN\(\s*(0x[0-9a-f]+),\s*(0x[0-9a-f]+)\s*\)/push @arr,hex($2),hex($1)/geo;
- }
- close TABLE;
- die "insane number of elements" if ($#arr != 64*16*37-1);
- print <<___;
- .text
- .globl ecp_nistz256_precomputed
- .type ecp_nistz256_precomputed,\@object
- .align 4096
- ecp_nistz256_precomputed:
- ___
- while (@line=splice(@arr,0,16)) {
- print ".long\t",join(',',map { sprintf "0x%08x",$_} @line),"\n";
- }
- print <<___;
- .size ecp_nistz256_precomputed,.-ecp_nistz256_precomputed
- ___
- $code =~ s/\`([^\`]*)\`/eval $1/gem;
- print $code;
- close STDOUT or die "error closing STDOUT: $!";
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