767 lines
20 KiB
Perl
767 lines
20 KiB
Perl
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#! /usr/bin/env perl
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# Copyright 2007-2023 The OpenSSL Project Authors. All Rights Reserved.
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#
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# Licensed under the Apache License 2.0 (the "License"). You may not use
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# this file except in compliance with the License. You can obtain a copy
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# in the file LICENSE in the source distribution or at
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# https://www.openssl.org/source/license.html
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# ====================================================================
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# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
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# project. The module is, however, dual licensed under OpenSSL and
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# CRYPTOGAMS licenses depending on where you obtain it. For further
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# details see http://www.openssl.org/~appro/cryptogams/.
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# ====================================================================
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# January 2007.
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# Montgomery multiplication for ARMv4.
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#
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# Performance improvement naturally varies among CPU implementations
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# and compilers. The code was observed to provide +65-35% improvement
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# [depending on key length, less for longer keys] on ARM920T, and
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# +115-80% on Intel IXP425. This is compared to pre-bn_mul_mont code
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# base and compiler generated code with in-lined umull and even umlal
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# instructions. The latter means that this code didn't really have an
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# "advantage" of utilizing some "secret" instruction.
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#
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# The code is interoperable with Thumb ISA and is rather compact, less
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# than 1/2KB. Windows CE port would be trivial, as it's exclusively
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# about decorations, ABI and instruction syntax are identical.
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# November 2013
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#
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# Add NEON code path, which handles lengths divisible by 8. RSA/DSA
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# performance improvement on Cortex-A8 is ~45-100% depending on key
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# length, more for longer keys. On Cortex-A15 the span is ~10-105%.
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# On Snapdragon S4 improvement was measured to vary from ~70% to
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# incredible ~380%, yes, 4.8x faster, for RSA4096 sign. But this is
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# rather because original integer-only code seems to perform
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# suboptimally on S4. Situation on Cortex-A9 is unfortunately
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# different. It's being looked into, but the trouble is that
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# performance for vectors longer than 256 bits is actually couple
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# of percent worse than for integer-only code. The code is chosen
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# for execution on all NEON-capable processors, because gain on
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# others outweighs the marginal loss on Cortex-A9.
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# September 2015
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#
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# Align Cortex-A9 performance with November 2013 improvements, i.e.
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# NEON code is now ~20-105% faster than integer-only one on this
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# processor. But this optimization further improved performance even
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# on other processors: NEON code path is ~45-180% faster than original
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# integer-only on Cortex-A8, ~10-210% on Cortex-A15, ~70-450% on
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# Snapdragon S4.
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# $output is the last argument if it looks like a file (it has an extension)
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# $flavour is the first argument if it doesn't look like a file
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my $output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef;
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my $flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef;
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if ($flavour && $flavour ne "void") {
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or
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( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or
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die "can't locate arm-xlate.pl";
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open STDOUT,"| \"$^X\" $xlate $flavour \"$output\""
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or die "can't call $xlate: $1";
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} else {
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$output and open STDOUT,">$output";
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}
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$num="r0"; # starts as num argument, but holds &tp[num-1]
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$ap="r1";
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$bp="r2"; $bi="r2"; $rp="r2";
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$np="r3";
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$tp="r4";
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$aj="r5";
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$nj="r6";
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$tj="r7";
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$n0="r8";
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########### # r9 is reserved by ELF as platform specific, e.g. TLS pointer
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$alo="r10"; # sl, gcc uses it to keep @GOT
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$ahi="r11"; # fp
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$nlo="r12"; # ip
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########### # r13 is stack pointer
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$nhi="r14"; # lr
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########### # r15 is program counter
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#### argument block layout relative to &tp[num-1], a.k.a. $num
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$_rp="$num,#12*4";
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# ap permanently resides in r1
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$_bp="$num,#13*4";
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# np permanently resides in r3
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$_n0="$num,#14*4";
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$_num="$num,#15*4"; $_bpend=$_num;
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$code=<<___;
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#include "arm_arch.h"
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#if defined(__thumb2__)
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.syntax unified
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.thumb
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#else
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.code 32
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#endif
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.text
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#if __ARM_MAX_ARCH__>=7
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.align 5
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.LOPENSSL_armcap:
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# ifdef _WIN32
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.word OPENSSL_armcap_P
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# else
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.word OPENSSL_armcap_P-.Lbn_mul_mont
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# endif
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#endif
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.global bn_mul_mont
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.type bn_mul_mont,%function
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.align 5
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bn_mul_mont:
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.Lbn_mul_mont:
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ldr ip,[sp,#4] @ load num
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stmdb sp!,{r0,r2} @ sp points at argument block
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#if __ARM_MAX_ARCH__>=7
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tst ip,#7
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bne .Lialu
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ldr r0,.LOPENSSL_armcap
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#if !defined(_WIN32)
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adr r2,.Lbn_mul_mont
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ldr r0,[r0,r2]
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# endif
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# if defined(__APPLE__) || defined(_WIN32)
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ldr r0,[r0]
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# endif
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tst r0,#ARMV7_NEON @ NEON available?
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ldmia sp, {r0,r2}
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beq .Lialu
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add sp,sp,#8
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b bn_mul8x_mont_neon
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.align 4
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.Lialu:
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#endif
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cmp ip,#2
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mov $num,ip @ load num
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#ifdef __thumb2__
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ittt lt
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#endif
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movlt r0,#0
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addlt sp,sp,#2*4
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blt .Labrt
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stmdb sp!,{r4-r12,lr} @ save 10 registers
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mov $num,$num,lsl#2 @ rescale $num for byte count
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sub sp,sp,$num @ alloca(4*num)
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sub sp,sp,#4 @ +extra dword
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sub $num,$num,#4 @ "num=num-1"
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add $tp,$bp,$num @ &bp[num-1]
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add $num,sp,$num @ $num to point at &tp[num-1]
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ldr $n0,[$_n0] @ &n0
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ldr $bi,[$bp] @ bp[0]
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ldr $aj,[$ap],#4 @ ap[0],ap++
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ldr $nj,[$np],#4 @ np[0],np++
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ldr $n0,[$n0] @ *n0
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str $tp,[$_bpend] @ save &bp[num]
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umull $alo,$ahi,$aj,$bi @ ap[0]*bp[0]
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str $n0,[$_n0] @ save n0 value
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mul $n0,$alo,$n0 @ "tp[0]"*n0
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mov $nlo,#0
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umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"t[0]"
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mov $tp,sp
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.L1st:
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ldr $aj,[$ap],#4 @ ap[j],ap++
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mov $alo,$ahi
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ldr $nj,[$np],#4 @ np[j],np++
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mov $ahi,#0
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umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[0]
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mov $nhi,#0
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umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0
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adds $nlo,$nlo,$alo
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str $nlo,[$tp],#4 @ tp[j-1]=,tp++
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adc $nlo,$nhi,#0
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cmp $tp,$num
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bne .L1st
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adds $nlo,$nlo,$ahi
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ldr $tp,[$_bp] @ restore bp
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mov $nhi,#0
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ldr $n0,[$_n0] @ restore n0
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adc $nhi,$nhi,#0
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str $nlo,[$num] @ tp[num-1]=
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mov $tj,sp
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str $nhi,[$num,#4] @ tp[num]=
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.Louter:
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sub $tj,$num,$tj @ "original" $num-1 value
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sub $ap,$ap,$tj @ "rewind" ap to &ap[1]
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ldr $bi,[$tp,#4]! @ *(++bp)
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sub $np,$np,$tj @ "rewind" np to &np[1]
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ldr $aj,[$ap,#-4] @ ap[0]
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ldr $alo,[sp] @ tp[0]
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ldr $nj,[$np,#-4] @ np[0]
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ldr $tj,[sp,#4] @ tp[1]
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mov $ahi,#0
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umlal $alo,$ahi,$aj,$bi @ ap[0]*bp[i]+tp[0]
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str $tp,[$_bp] @ save bp
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mul $n0,$alo,$n0
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mov $nlo,#0
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umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"tp[0]"
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mov $tp,sp
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.Linner:
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ldr $aj,[$ap],#4 @ ap[j],ap++
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adds $alo,$ahi,$tj @ +=tp[j]
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ldr $nj,[$np],#4 @ np[j],np++
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mov $ahi,#0
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umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[i]
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mov $nhi,#0
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umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0
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adc $ahi,$ahi,#0
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ldr $tj,[$tp,#8] @ tp[j+1]
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adds $nlo,$nlo,$alo
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str $nlo,[$tp],#4 @ tp[j-1]=,tp++
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adc $nlo,$nhi,#0
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cmp $tp,$num
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bne .Linner
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adds $nlo,$nlo,$ahi
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mov $nhi,#0
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ldr $tp,[$_bp] @ restore bp
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adc $nhi,$nhi,#0
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ldr $n0,[$_n0] @ restore n0
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adds $nlo,$nlo,$tj
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ldr $tj,[$_bpend] @ restore &bp[num]
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adc $nhi,$nhi,#0
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str $nlo,[$num] @ tp[num-1]=
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str $nhi,[$num,#4] @ tp[num]=
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cmp $tp,$tj
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#ifdef __thumb2__
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itt ne
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#endif
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movne $tj,sp
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bne .Louter
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ldr $rp,[$_rp] @ pull rp
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mov $aj,sp
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add $num,$num,#4 @ $num to point at &tp[num]
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sub $aj,$num,$aj @ "original" num value
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mov $tp,sp @ "rewind" $tp
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mov $ap,$tp @ "borrow" $ap
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sub $np,$np,$aj @ "rewind" $np to &np[0]
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subs $tj,$tj,$tj @ "clear" carry flag
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.Lsub: ldr $tj,[$tp],#4
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ldr $nj,[$np],#4
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sbcs $tj,$tj,$nj @ tp[j]-np[j]
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str $tj,[$rp],#4 @ rp[j]=
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teq $tp,$num @ preserve carry
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bne .Lsub
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sbcs $nhi,$nhi,#0 @ upmost carry
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mov $tp,sp @ "rewind" $tp
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sub $rp,$rp,$aj @ "rewind" $rp
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.Lcopy: ldr $tj,[$tp] @ conditional copy
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ldr $aj,[$rp]
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str sp,[$tp],#4 @ zap tp
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#ifdef __thumb2__
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it cc
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#endif
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movcc $aj,$tj
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str $aj,[$rp],#4
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teq $tp,$num @ preserve carry
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bne .Lcopy
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mov sp,$num
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add sp,sp,#4 @ skip over tp[num+1]
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ldmia sp!,{r4-r12,lr} @ restore registers
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add sp,sp,#2*4 @ skip over {r0,r2}
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mov r0,#1
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.Labrt:
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#if __ARM_ARCH__>=5
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ret @ bx lr
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#else
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tst lr,#1
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moveq pc,lr @ be binary compatible with V4, yet
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bx lr @ interoperable with Thumb ISA:-)
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#endif
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.size bn_mul_mont,.-bn_mul_mont
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___
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{
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my ($A0,$A1,$A2,$A3)=map("d$_",(0..3));
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my ($N0,$N1,$N2,$N3)=map("d$_",(4..7));
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my ($Z,$Temp)=("q4","q5");
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my @ACC=map("q$_",(6..13));
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my ($Bi,$Ni,$M0)=map("d$_",(28..31));
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my $zero="$Z#lo";
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my $temp="$Temp#lo";
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my ($rptr,$aptr,$bptr,$nptr,$n0,$num)=map("r$_",(0..5));
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my ($tinptr,$toutptr,$inner,$outer,$bnptr)=map("r$_",(6..11));
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$code.=<<___;
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#if __ARM_MAX_ARCH__>=7
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.arch armv7-a
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.fpu neon
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.type bn_mul8x_mont_neon,%function
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.align 5
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bn_mul8x_mont_neon:
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mov ip,sp
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stmdb sp!,{r4-r11}
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vstmdb sp!,{d8-d15} @ ABI specification says so
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ldmia ip,{r4-r5} @ load rest of parameter block
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mov ip,sp
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cmp $num,#8
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bhi .LNEON_8n
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@ special case for $num==8, everything is in register bank...
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|
|
vld1.32 {${Bi}[0]}, [$bptr,:32]!
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
sub $toutptr,sp,$num,lsl#4
|
|||
|
|
vld1.32 {$A0-$A3}, [$aptr]! @ can't specify :32 :-(
|
|||
|
|
and $toutptr,$toutptr,#-64
|
|||
|
|
vld1.32 {${M0}[0]}, [$n0,:32]
|
|||
|
|
mov sp,$toutptr @ alloca
|
|||
|
|
vzip.16 $Bi,$zero
|
|||
|
|
|
|||
|
|
vmull.u32 @ACC[0],$Bi,${A0}[0]
|
|||
|
|
vmull.u32 @ACC[1],$Bi,${A0}[1]
|
|||
|
|
vmull.u32 @ACC[2],$Bi,${A1}[0]
|
|||
|
|
vshl.i64 $Ni,@ACC[0]#hi,#16
|
|||
|
|
vmull.u32 @ACC[3],$Bi,${A1}[1]
|
|||
|
|
|
|||
|
|
vadd.u64 $Ni,$Ni,@ACC[0]#lo
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
vmul.u32 $Ni,$Ni,$M0
|
|||
|
|
|
|||
|
|
vmull.u32 @ACC[4],$Bi,${A2}[0]
|
|||
|
|
vld1.32 {$N0-$N3}, [$nptr]!
|
|||
|
|
vmull.u32 @ACC[5],$Bi,${A2}[1]
|
|||
|
|
vmull.u32 @ACC[6],$Bi,${A3}[0]
|
|||
|
|
vzip.16 $Ni,$zero
|
|||
|
|
vmull.u32 @ACC[7],$Bi,${A3}[1]
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[0],$Ni,${N0}[0]
|
|||
|
|
sub $outer,$num,#1
|
|||
|
|
vmlal.u32 @ACC[1],$Ni,${N0}[1]
|
|||
|
|
vmlal.u32 @ACC[2],$Ni,${N1}[0]
|
|||
|
|
vmlal.u32 @ACC[3],$Ni,${N1}[1]
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[4],$Ni,${N2}[0]
|
|||
|
|
vmov $Temp,@ACC[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Ni,${N2}[1]
|
|||
|
|
vmov @ACC[0],@ACC[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Ni,${N3}[0]
|
|||
|
|
vmov @ACC[1],@ACC[2]
|
|||
|
|
vmlal.u32 @ACC[7],$Ni,${N3}[1]
|
|||
|
|
vmov @ACC[2],@ACC[3]
|
|||
|
|
vmov @ACC[3],@ACC[4]
|
|||
|
|
vshr.u64 $temp,$temp,#16
|
|||
|
|
vmov @ACC[4],@ACC[5]
|
|||
|
|
vmov @ACC[5],@ACC[6]
|
|||
|
|
vadd.u64 $temp,$temp,$Temp#hi
|
|||
|
|
vmov @ACC[6],@ACC[7]
|
|||
|
|
veor @ACC[7],@ACC[7]
|
|||
|
|
vshr.u64 $temp,$temp,#16
|
|||
|
|
|
|||
|
|
b .LNEON_outer8
|
|||
|
|
|
|||
|
|
.align 4
|
|||
|
|
.LNEON_outer8:
|
|||
|
|
vld1.32 {${Bi}[0]}, [$bptr,:32]!
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
vzip.16 $Bi,$zero
|
|||
|
|
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[0],$Bi,${A0}[0]
|
|||
|
|
vmlal.u32 @ACC[1],$Bi,${A0}[1]
|
|||
|
|
vmlal.u32 @ACC[2],$Bi,${A1}[0]
|
|||
|
|
vshl.i64 $Ni,@ACC[0]#hi,#16
|
|||
|
|
vmlal.u32 @ACC[3],$Bi,${A1}[1]
|
|||
|
|
|
|||
|
|
vadd.u64 $Ni,$Ni,@ACC[0]#lo
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
subs $outer,$outer,#1
|
|||
|
|
vmul.u32 $Ni,$Ni,$M0
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[4],$Bi,${A2}[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Bi,${A2}[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Bi,${A3}[0]
|
|||
|
|
vzip.16 $Ni,$zero
|
|||
|
|
vmlal.u32 @ACC[7],$Bi,${A3}[1]
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[0],$Ni,${N0}[0]
|
|||
|
|
vmlal.u32 @ACC[1],$Ni,${N0}[1]
|
|||
|
|
vmlal.u32 @ACC[2],$Ni,${N1}[0]
|
|||
|
|
vmlal.u32 @ACC[3],$Ni,${N1}[1]
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[4],$Ni,${N2}[0]
|
|||
|
|
vmov $Temp,@ACC[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Ni,${N2}[1]
|
|||
|
|
vmov @ACC[0],@ACC[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Ni,${N3}[0]
|
|||
|
|
vmov @ACC[1],@ACC[2]
|
|||
|
|
vmlal.u32 @ACC[7],$Ni,${N3}[1]
|
|||
|
|
vmov @ACC[2],@ACC[3]
|
|||
|
|
vmov @ACC[3],@ACC[4]
|
|||
|
|
vshr.u64 $temp,$temp,#16
|
|||
|
|
vmov @ACC[4],@ACC[5]
|
|||
|
|
vmov @ACC[5],@ACC[6]
|
|||
|
|
vadd.u64 $temp,$temp,$Temp#hi
|
|||
|
|
vmov @ACC[6],@ACC[7]
|
|||
|
|
veor @ACC[7],@ACC[7]
|
|||
|
|
vshr.u64 $temp,$temp,#16
|
|||
|
|
|
|||
|
|
bne .LNEON_outer8
|
|||
|
|
|
|||
|
|
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp
|
|||
|
|
mov $toutptr,sp
|
|||
|
|
vshr.u64 $temp,@ACC[0]#lo,#16
|
|||
|
|
mov $inner,$num
|
|||
|
|
vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp
|
|||
|
|
add $tinptr,sp,#96
|
|||
|
|
vshr.u64 $temp,@ACC[0]#hi,#16
|
|||
|
|
vzip.16 @ACC[0]#lo,@ACC[0]#hi
|
|||
|
|
|
|||
|
|
b .LNEON_tail_entry
|
|||
|
|
|
|||
|
|
.align 4
|
|||
|
|
.LNEON_8n:
|
|||
|
|
veor @ACC[0],@ACC[0],@ACC[0]
|
|||
|
|
sub $toutptr,sp,#128
|
|||
|
|
veor @ACC[1],@ACC[1],@ACC[1]
|
|||
|
|
sub $toutptr,$toutptr,$num,lsl#4
|
|||
|
|
veor @ACC[2],@ACC[2],@ACC[2]
|
|||
|
|
and $toutptr,$toutptr,#-64
|
|||
|
|
veor @ACC[3],@ACC[3],@ACC[3]
|
|||
|
|
mov sp,$toutptr @ alloca
|
|||
|
|
veor @ACC[4],@ACC[4],@ACC[4]
|
|||
|
|
add $toutptr,$toutptr,#256
|
|||
|
|
veor @ACC[5],@ACC[5],@ACC[5]
|
|||
|
|
sub $inner,$num,#8
|
|||
|
|
veor @ACC[6],@ACC[6],@ACC[6]
|
|||
|
|
veor @ACC[7],@ACC[7],@ACC[7]
|
|||
|
|
|
|||
|
|
.LNEON_8n_init:
|
|||
|
|
vst1.64 {@ACC[0]-@ACC[1]},[$toutptr,:256]!
|
|||
|
|
subs $inner,$inner,#8
|
|||
|
|
vst1.64 {@ACC[2]-@ACC[3]},[$toutptr,:256]!
|
|||
|
|
vst1.64 {@ACC[4]-@ACC[5]},[$toutptr,:256]!
|
|||
|
|
vst1.64 {@ACC[6]-@ACC[7]},[$toutptr,:256]!
|
|||
|
|
bne .LNEON_8n_init
|
|||
|
|
|
|||
|
|
add $tinptr,sp,#256
|
|||
|
|
vld1.32 {$A0-$A3},[$aptr]!
|
|||
|
|
add $bnptr,sp,#8
|
|||
|
|
vld1.32 {${M0}[0]},[$n0,:32]
|
|||
|
|
mov $outer,$num
|
|||
|
|
b .LNEON_8n_outer
|
|||
|
|
|
|||
|
|
.align 4
|
|||
|
|
.LNEON_8n_outer:
|
|||
|
|
vld1.32 {${Bi}[0]},[$bptr,:32]! @ *b++
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
vzip.16 $Bi,$zero
|
|||
|
|
add $toutptr,sp,#128
|
|||
|
|
vld1.32 {$N0-$N3},[$nptr]!
|
|||
|
|
|
|||
|
|
vmlal.u32 @ACC[0],$Bi,${A0}[0]
|
|||
|
|
vmlal.u32 @ACC[1],$Bi,${A0}[1]
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
vmlal.u32 @ACC[2],$Bi,${A1}[0]
|
|||
|
|
vshl.i64 $Ni,@ACC[0]#hi,#16
|
|||
|
|
vmlal.u32 @ACC[3],$Bi,${A1}[1]
|
|||
|
|
vadd.u64 $Ni,$Ni,@ACC[0]#lo
|
|||
|
|
vmlal.u32 @ACC[4],$Bi,${A2}[0]
|
|||
|
|
vmul.u32 $Ni,$Ni,$M0
|
|||
|
|
vmlal.u32 @ACC[5],$Bi,${A2}[1]
|
|||
|
|
vst1.32 {$Bi},[sp,:64] @ put aside smashed b[8*i+0]
|
|||
|
|
vmlal.u32 @ACC[6],$Bi,${A3}[0]
|
|||
|
|
vzip.16 $Ni,$zero
|
|||
|
|
vmlal.u32 @ACC[7],$Bi,${A3}[1]
|
|||
|
|
___
|
|||
|
|
for ($i=0; $i<7;) {
|
|||
|
|
$code.=<<___;
|
|||
|
|
vld1.32 {${Bi}[0]},[$bptr,:32]! @ *b++
|
|||
|
|
vmlal.u32 @ACC[0],$Ni,${N0}[0]
|
|||
|
|
veor $temp,$temp,$temp
|
|||
|
|
vmlal.u32 @ACC[1],$Ni,${N0}[1]
|
|||
|
|
vzip.16 $Bi,$temp
|
|||
|
|
vmlal.u32 @ACC[2],$Ni,${N1}[0]
|
|||
|
|
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
|
|||
|
|
vmlal.u32 @ACC[3],$Ni,${N1}[1]
|
|||
|
|
vmlal.u32 @ACC[4],$Ni,${N2}[0]
|
|||
|
|
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,@ACC[0]#hi
|
|||
|
|
vmlal.u32 @ACC[5],$Ni,${N2}[1]
|
|||
|
|
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
|
|||
|
|
vmlal.u32 @ACC[6],$Ni,${N3}[0]
|
|||
|
|
vmlal.u32 @ACC[7],$Ni,${N3}[1]
|
|||
|
|
vadd.u64 @ACC[1]#lo,@ACC[1]#lo,@ACC[0]#lo
|
|||
|
|
vst1.32 {$Ni},[$bnptr,:64]! @ put aside smashed m[8*i+$i]
|
|||
|
|
___
|
|||
|
|
push(@ACC,shift(@ACC)); $i++;
|
|||
|
|
$code.=<<___;
|
|||
|
|
vmlal.u32 @ACC[0],$Bi,${A0}[0]
|
|||
|
|
vld1.64 {@ACC[7]},[$tinptr,:128]!
|
|||
|
|
vmlal.u32 @ACC[1],$Bi,${A0}[1]
|
|||
|
|
veor $zero,$zero,$zero
|
|||
|
|
vmlal.u32 @ACC[2],$Bi,${A1}[0]
|
|||
|
|
vshl.i64 $Ni,@ACC[0]#hi,#16
|
|||
|
|
vmlal.u32 @ACC[3],$Bi,${A1}[1]
|
|||
|
|
vadd.u64 $Ni,$Ni,@ACC[0]#lo
|
|||
|
|
vmlal.u32 @ACC[4],$Bi,${A2}[0]
|
|||
|
|
vmul.u32 $Ni,$Ni,$M0
|
|||
|
|
vmlal.u32 @ACC[5],$Bi,${A2}[1]
|
|||
|
|
vst1.32 {$Bi},[$bnptr,:64]! @ put aside smashed b[8*i+$i]
|
|||
|
|
vmlal.u32 @ACC[6],$Bi,${A3}[0]
|
|||
|
|
vzip.16 $Ni,$zero
|
|||
|
|
vmlal.u32 @ACC[7],$Bi,${A3}[1]
|
|||
|
|
___
|
|||
|
|
}
|
|||
|
|
$code.=<<___;
|
|||
|
|
vld1.32 {$Bi},[sp,:64] @ pull smashed b[8*i+0]
|
|||
|
|
vmlal.u32 @ACC[0],$Ni,${N0}[0]
|
|||
|
|
vld1.32 {$A0-$A3},[$aptr]!
|
|||
|
|
vmlal.u32 @ACC[1],$Ni,${N0}[1]
|
|||
|
|
vmlal.u32 @ACC[2],$Ni,${N1}[0]
|
|||
|
|
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
|
|||
|
|
vmlal.u32 @ACC[3],$Ni,${N1}[1]
|
|||
|
|
vmlal.u32 @ACC[4],$Ni,${N2}[0]
|
|||
|
|
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,@ACC[0]#hi
|
|||
|
|
vmlal.u32 @ACC[5],$Ni,${N2}[1]
|
|||
|
|
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
|
|||
|
|
vmlal.u32 @ACC[6],$Ni,${N3}[0]
|
|||
|
|
vmlal.u32 @ACC[7],$Ni,${N3}[1]
|
|||
|
|
vadd.u64 @ACC[1]#lo,@ACC[1]#lo,@ACC[0]#lo
|
|||
|
|
vst1.32 {$Ni},[$bnptr,:64] @ put aside smashed m[8*i+$i]
|
|||
|
|
add $bnptr,sp,#8 @ rewind
|
|||
|
|
___
|
|||
|
|
push(@ACC,shift(@ACC));
|
|||
|
|
$code.=<<___;
|
|||
|
|
sub $inner,$num,#8
|
|||
|
|
b .LNEON_8n_inner
|
|||
|
|
|
|||
|
|
.align 4
|
|||
|
|
.LNEON_8n_inner:
|
|||
|
|
subs $inner,$inner,#8
|
|||
|
|
vmlal.u32 @ACC[0],$Bi,${A0}[0]
|
|||
|
|
vld1.64 {@ACC[7]},[$tinptr,:128]
|
|||
|
|
vmlal.u32 @ACC[1],$Bi,${A0}[1]
|
|||
|
|
vld1.32 {$Ni},[$bnptr,:64]! @ pull smashed m[8*i+0]
|
|||
|
|
vmlal.u32 @ACC[2],$Bi,${A1}[0]
|
|||
|
|
vld1.32 {$N0-$N3},[$nptr]!
|
|||
|
|
vmlal.u32 @ACC[3],$Bi,${A1}[1]
|
|||
|
|
it ne
|
|||
|
|
addne $tinptr,$tinptr,#16 @ don't advance in last iteration
|
|||
|
|
vmlal.u32 @ACC[4],$Bi,${A2}[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Bi,${A2}[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Bi,${A3}[0]
|
|||
|
|
vmlal.u32 @ACC[7],$Bi,${A3}[1]
|
|||
|
|
___
|
|||
|
|
for ($i=1; $i<8; $i++) {
|
|||
|
|
$code.=<<___;
|
|||
|
|
vld1.32 {$Bi},[$bnptr,:64]! @ pull smashed b[8*i+$i]
|
|||
|
|
vmlal.u32 @ACC[0],$Ni,${N0}[0]
|
|||
|
|
vmlal.u32 @ACC[1],$Ni,${N0}[1]
|
|||
|
|
vmlal.u32 @ACC[2],$Ni,${N1}[0]
|
|||
|
|
vmlal.u32 @ACC[3],$Ni,${N1}[1]
|
|||
|
|
vmlal.u32 @ACC[4],$Ni,${N2}[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Ni,${N2}[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Ni,${N3}[0]
|
|||
|
|
vmlal.u32 @ACC[7],$Ni,${N3}[1]
|
|||
|
|
vst1.64 {@ACC[0]},[$toutptr,:128]!
|
|||
|
|
___
|
|||
|
|
push(@ACC,shift(@ACC));
|
|||
|
|
$code.=<<___;
|
|||
|
|
vmlal.u32 @ACC[0],$Bi,${A0}[0]
|
|||
|
|
vld1.64 {@ACC[7]},[$tinptr,:128]
|
|||
|
|
vmlal.u32 @ACC[1],$Bi,${A0}[1]
|
|||
|
|
vld1.32 {$Ni},[$bnptr,:64]! @ pull smashed m[8*i+$i]
|
|||
|
|
vmlal.u32 @ACC[2],$Bi,${A1}[0]
|
|||
|
|
it ne
|
|||
|
|
addne $tinptr,$tinptr,#16 @ don't advance in last iteration
|
|||
|
|
vmlal.u32 @ACC[3],$Bi,${A1}[1]
|
|||
|
|
vmlal.u32 @ACC[4],$Bi,${A2}[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Bi,${A2}[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Bi,${A3}[0]
|
|||
|
|
vmlal.u32 @ACC[7],$Bi,${A3}[1]
|
|||
|
|
___
|
|||
|
|
}
|
|||
|
|
$code.=<<___;
|
|||
|
|
it eq
|
|||
|
|
subeq $aptr,$aptr,$num,lsl#2 @ rewind
|
|||
|
|
vmlal.u32 @ACC[0],$Ni,${N0}[0]
|
|||
|
|
vld1.32 {$Bi},[sp,:64] @ pull smashed b[8*i+0]
|
|||
|
|
vmlal.u32 @ACC[1],$Ni,${N0}[1]
|
|||
|
|
vld1.32 {$A0-$A3},[$aptr]!
|
|||
|
|
vmlal.u32 @ACC[2],$Ni,${N1}[0]
|
|||
|
|
add $bnptr,sp,#8 @ rewind
|
|||
|
|
vmlal.u32 @ACC[3],$Ni,${N1}[1]
|
|||
|
|
vmlal.u32 @ACC[4],$Ni,${N2}[0]
|
|||
|
|
vmlal.u32 @ACC[5],$Ni,${N2}[1]
|
|||
|
|
vmlal.u32 @ACC[6],$Ni,${N3}[0]
|
|||
|
|
vst1.64 {@ACC[0]},[$toutptr,:128]!
|
|||
|
|
vmlal.u32 @ACC[7],$Ni,${N3}[1]
|
|||
|
|
|
|||
|
|
bne .LNEON_8n_inner
|
|||
|
|
___
|
|||
|
|
push(@ACC,shift(@ACC));
|
|||
|
|
$code.=<<___;
|
|||
|
|
add $tinptr,sp,#128
|
|||
|
|
vst1.64 {@ACC[0]-@ACC[1]},[$toutptr,:256]!
|
|||
|
|
veor q2,q2,q2 @ $N0-$N1
|
|||
|
|
vst1.64 {@ACC[2]-@ACC[3]},[$toutptr,:256]!
|
|||
|
|
veor q3,q3,q3 @ $N2-$N3
|
|||
|
|
vst1.64 {@ACC[4]-@ACC[5]},[$toutptr,:256]!
|
|||
|
|
vst1.64 {@ACC[6]},[$toutptr,:128]
|
|||
|
|
|
|||
|
|
subs $outer,$outer,#8
|
|||
|
|
vld1.64 {@ACC[0]-@ACC[1]},[$tinptr,:256]!
|
|||
|
|
vld1.64 {@ACC[2]-@ACC[3]},[$tinptr,:256]!
|
|||
|
|
vld1.64 {@ACC[4]-@ACC[5]},[$tinptr,:256]!
|
|||
|
|
vld1.64 {@ACC[6]-@ACC[7]},[$tinptr,:256]!
|
|||
|
|
|
|||
|
|
itt ne
|
|||
|
|
subne $nptr,$nptr,$num,lsl#2 @ rewind
|
|||
|
|
bne .LNEON_8n_outer
|
|||
|
|
|
|||
|
|
add $toutptr,sp,#128
|
|||
|
|
vst1.64 {q2-q3}, [sp,:256]! @ start wiping stack frame
|
|||
|
|
vshr.u64 $temp,@ACC[0]#lo,#16
|
|||
|
|
vst1.64 {q2-q3},[sp,:256]!
|
|||
|
|
vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp
|
|||
|
|
vst1.64 {q2-q3}, [sp,:256]!
|
|||
|
|
vshr.u64 $temp,@ACC[0]#hi,#16
|
|||
|
|
vst1.64 {q2-q3}, [sp,:256]!
|
|||
|
|
vzip.16 @ACC[0]#lo,@ACC[0]#hi
|
|||
|
|
|
|||
|
|
mov $inner,$num
|
|||
|
|
b .LNEON_tail_entry
|
|||
|
|
|
|||
|
|
.align 4
|
|||
|
|
.LNEON_tail:
|
|||
|
|
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp
|
|||
|
|
vshr.u64 $temp,@ACC[0]#lo,#16
|
|||
|
|
vld1.64 {@ACC[2]-@ACC[3]}, [$tinptr, :256]!
|
|||
|
|
vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp
|
|||
|
|
vld1.64 {@ACC[4]-@ACC[5]}, [$tinptr, :256]!
|
|||
|
|
vshr.u64 $temp,@ACC[0]#hi,#16
|
|||
|
|
vld1.64 {@ACC[6]-@ACC[7]}, [$tinptr, :256]!
|
|||
|
|
vzip.16 @ACC[0]#lo,@ACC[0]#hi
|
|||
|
|
|
|||
|
|
.LNEON_tail_entry:
|
|||
|
|
___
|
|||
|
|
for ($i=1; $i<8; $i++) {
|
|||
|
|
$code.=<<___;
|
|||
|
|
vadd.u64 @ACC[1]#lo,@ACC[1]#lo,$temp
|
|||
|
|
vst1.32 {@ACC[0]#lo[0]}, [$toutptr, :32]!
|
|||
|
|
vshr.u64 $temp,@ACC[1]#lo,#16
|
|||
|
|
vadd.u64 @ACC[1]#hi,@ACC[1]#hi,$temp
|
|||
|
|
vshr.u64 $temp,@ACC[1]#hi,#16
|
|||
|
|
vzip.16 @ACC[1]#lo,@ACC[1]#hi
|
|||
|
|
___
|
|||
|
|
push(@ACC,shift(@ACC));
|
|||
|
|
}
|
|||
|
|
push(@ACC,shift(@ACC));
|
|||
|
|
$code.=<<___;
|
|||
|
|
vld1.64 {@ACC[0]-@ACC[1]}, [$tinptr, :256]!
|
|||
|
|
subs $inner,$inner,#8
|
|||
|
|
vst1.32 {@ACC[7]#lo[0]}, [$toutptr, :32]!
|
|||
|
|
bne .LNEON_tail
|
|||
|
|
|
|||
|
|
vst1.32 {${temp}[0]}, [$toutptr, :32] @ top-most bit
|
|||
|
|
sub $nptr,$nptr,$num,lsl#2 @ rewind $nptr
|
|||
|
|
subs $aptr,sp,#0 @ clear carry flag
|
|||
|
|
add $bptr,sp,$num,lsl#2
|
|||
|
|
|
|||
|
|
.LNEON_sub:
|
|||
|
|
ldmia $aptr!, {r4-r7}
|
|||
|
|
ldmia $nptr!, {r8-r11}
|
|||
|
|
sbcs r8, r4,r8
|
|||
|
|
sbcs r9, r5,r9
|
|||
|
|
sbcs r10,r6,r10
|
|||
|
|
sbcs r11,r7,r11
|
|||
|
|
teq $aptr,$bptr @ preserves carry
|
|||
|
|
stmia $rptr!, {r8-r11}
|
|||
|
|
bne .LNEON_sub
|
|||
|
|
|
|||
|
|
ldr r10, [$aptr] @ load top-most bit
|
|||
|
|
mov r11,sp
|
|||
|
|
veor q0,q0,q0
|
|||
|
|
sub r11,$bptr,r11 @ this is num*4
|
|||
|
|
veor q1,q1,q1
|
|||
|
|
mov $aptr,sp
|
|||
|
|
sub $rptr,$rptr,r11 @ rewind $rptr
|
|||
|
|
mov $nptr,$bptr @ second 3/4th of frame
|
|||
|
|
sbcs r10,r10,#0 @ result is carry flag
|
|||
|
|
|
|||
|
|
.LNEON_copy_n_zap:
|
|||
|
|
ldmia $aptr!, {r4-r7}
|
|||
|
|
ldmia $rptr, {r8-r11}
|
|||
|
|
it cc
|
|||
|
|
movcc r8, r4
|
|||
|
|
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
|
|||
|
|
itt cc
|
|||
|
|
movcc r9, r5
|
|||
|
|
movcc r10,r6
|
|||
|
|
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
|
|||
|
|
it cc
|
|||
|
|
movcc r11,r7
|
|||
|
|
ldmia $aptr, {r4-r7}
|
|||
|
|
stmia $rptr!, {r8-r11}
|
|||
|
|
sub $aptr,$aptr,#16
|
|||
|
|
ldmia $rptr, {r8-r11}
|
|||
|
|
it cc
|
|||
|
|
movcc r8, r4
|
|||
|
|
vst1.64 {q0-q1}, [$aptr,:256]! @ wipe
|
|||
|
|
itt cc
|
|||
|
|
movcc r9, r5
|
|||
|
|
movcc r10,r6
|
|||
|
|
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
|
|||
|
|
it cc
|
|||
|
|
movcc r11,r7
|
|||
|
|
teq $aptr,$bptr @ preserves carry
|
|||
|
|
stmia $rptr!, {r8-r11}
|
|||
|
|
bne .LNEON_copy_n_zap
|
|||
|
|
|
|||
|
|
mov sp,ip
|
|||
|
|
vldmia sp!,{d8-d15}
|
|||
|
|
ldmia sp!,{r4-r11}
|
|||
|
|
ret @ bx lr
|
|||
|
|
.size bn_mul8x_mont_neon,.-bn_mul8x_mont_neon
|
|||
|
|
#endif
|
|||
|
|
___
|
|||
|
|
}
|
|||
|
|
$code.=<<___;
|
|||
|
|
.asciz "Montgomery multiplication for ARMv4/NEON, CRYPTOGAMS by <appro\@openssl.org>"
|
|||
|
|
.align 2
|
|||
|
|
#if __ARM_MAX_ARCH__>=7
|
|||
|
|
.extern OPENSSL_armcap_P
|
|||
|
|
#endif
|
|||
|
|
___
|
|||
|
|
|
|||
|
|
foreach (split("\n",$code)) {
|
|||
|
|
s/\`([^\`]*)\`/eval $1/ge;
|
|||
|
|
|
|||
|
|
s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/ge or
|
|||
|
|
s/\bret\b/bx lr/g or
|
|||
|
|
s/\bbx\s+lr\b/.word\t0xe12fff1e/g; # make it possible to compile with -march=armv4
|
|||
|
|
|
|||
|
|
print $_,"\n";
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
close STDOUT or die "error closing STDOUT: $!";
|