584 lines
9.7 KiB
Perl
Executable File
584 lines
9.7 KiB
Perl
Executable File
#! /usr/bin/env perl
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# Copyright 2021-2022 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 Amitay Isaacs <amitay@ozlabs.org>, Martin Schwenke
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# <martin@meltin.net> & Alastair D'Silva <alastair@d-silva.org> for
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# the OpenSSL project.
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# ====================================================================
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#
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# Fixed length (n=6), unrolled PPC Montgomery Multiplication
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#
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# 2021
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#
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# Although this is a generic implementation for unrolling Montgomery
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# Multiplication for arbitrary values of n, this is currently only
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# used for n = 6 to improve the performance of ECC p384.
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#
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# Unrolling allows intermediate results to be stored in registers,
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# rather than on the stack, improving performance by ~7% compared to
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# the existing PPC assembly code.
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#
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# The ISA 3.0 implementation uses combination multiply/add
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# instructions (maddld, maddhdu) to improve performance by an
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# additional ~10% on Power 9.
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#
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# Finally, saving non-volatile registers into volatile vector
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# registers instead of onto the stack saves a little more.
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#
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# On a Power 9 machine we see an overall improvement of ~18%.
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#
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use strict;
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use warnings;
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my ($flavour, $output, $dir, $xlate);
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# $output is the last argument if it looks like a file (it has an extension)
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# $flavour is the first argument if it doesn't look like a file
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$output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef;
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$flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef;
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
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( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
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die "can't locate ppc-xlate.pl";
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open STDOUT,"| $^X $xlate $flavour \"$output\""
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or die "can't call $xlate: $!";
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if ($flavour !~ /64/) {
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die "bad flavour ($flavour) - only ppc64 permitted";
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}
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my $SIZE_T= 8;
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# Registers are global so the code is remotely readable
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# Parameters for Montgomery multiplication
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my $ze = "r0";
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my $sp = "r1";
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my $toc = "r2";
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my $rp = "r3";
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my $ap = "r4";
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my $bp = "r5";
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my $np = "r6";
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my $n0 = "r7";
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my $num = "r8";
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my $i = "r9";
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my $c0 = "r10";
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my $bp0 = "r11";
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my $bpi = "r11";
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my $bpj = "r11";
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my $tj = "r12";
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my $apj = "r12";
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my $npj = "r12";
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my $lo = "r14";
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my $c1 = "r14";
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# Non-volatile registers used for tp[i]
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#
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# 12 registers are available but the limit on unrolling is 10,
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# since registers from $tp[0] to $tp[$n+1] are used.
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my @tp = ("r20" .. "r31");
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# volatile VSRs for saving non-volatile GPRs - faster than stack
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my @vsrs = ("v32" .. "v46");
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package Mont;
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sub new($$)
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{
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my ($class, $n) = @_;
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if ($n > 10) {
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die "Can't unroll for BN length ${n} (maximum 10)"
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}
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my $self = {
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code => "",
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n => $n,
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};
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bless $self, $class;
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return $self;
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}
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sub add_code($$)
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{
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my ($self, $c) = @_;
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$self->{code} .= $c;
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}
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sub get_code($)
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{
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my ($self) = @_;
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return $self->{code};
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}
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sub get_function_name($)
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{
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my ($self) = @_;
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return "bn_mul_mont_fixed_n" . $self->{n};
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}
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sub get_label($$)
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{
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my ($self, $l) = @_;
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return "L" . $l . "_" . $self->{n};
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}
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sub get_labels($@)
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{
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my ($self, @labels) = @_;
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my %out = ();
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foreach my $l (@labels) {
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$out{"$l"} = $self->get_label("$l");
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}
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return \%out;
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}
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sub nl($)
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{
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my ($self) = @_;
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$self->add_code("\n");
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}
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sub copy_result($)
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{
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my ($self) = @_;
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my ($n) = $self->{n};
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for (my $j = 0; $j < $n; $j++) {
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$self->add_code(<<___);
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std $tp[$j],`$j*$SIZE_T`($rp)
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___
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}
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}
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sub mul_mont_fixed($)
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{
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my ($self) = @_;
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my ($n) = $self->{n};
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my $fname = $self->get_function_name();
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my $label = $self->get_labels("outer", "enter", "sub", "copy", "end");
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$self->add_code(<<___);
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.globl .${fname}
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.align 5
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.${fname}:
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___
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$self->save_registers();
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$self->add_code(<<___);
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li $ze,0
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ld $n0,0($n0)
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ld $bp0,0($bp)
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ld $apj,0($ap)
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___
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$self->mul_c_0($tp[0], $apj, $bp0, $c0);
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for (my $j = 1; $j < $n - 1; $j++) {
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$self->add_code(<<___);
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ld $apj,`$j*$SIZE_T`($ap)
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___
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$self->mul($tp[$j], $apj, $bp0, $c0);
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}
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$self->add_code(<<___);
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ld $apj,`($n-1)*$SIZE_T`($ap)
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___
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$self->mul_last($tp[$n-1], $tp[$n], $apj, $bp0, $c0);
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$self->add_code(<<___);
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li $tp[$n+1],0
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___
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$self->add_code(<<___);
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li $i,0
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mtctr $num
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b $label->{"enter"}
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.align 4
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$label->{"outer"}:
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ldx $bpi,$bp,$i
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ld $apj,0($ap)
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___
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$self->mul_add_c_0($tp[0], $tp[0], $apj, $bpi, $c0);
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for (my $j = 1; $j < $n; $j++) {
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$self->add_code(<<___);
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ld $apj,`$j*$SIZE_T`($ap)
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___
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$self->mul_add($tp[$j], $tp[$j], $apj, $bpi, $c0);
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}
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$self->add_code(<<___);
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addc $tp[$n],$tp[$n],$c0
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addze $tp[$n+1],$ze
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___
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$self->add_code(<<___);
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.align 4
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$label->{"enter"}:
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mulld $bpi,$tp[0],$n0
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ld $npj,0($np)
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___
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$self->mul_add_c_0($lo, $tp[0], $bpi, $npj, $c0);
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for (my $j = 1; $j < $n; $j++) {
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$self->add_code(<<___);
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ld $npj,`$j*$SIZE_T`($np)
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___
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$self->mul_add($tp[$j-1], $tp[$j], $npj, $bpi, $c0);
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}
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$self->add_code(<<___);
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addc $tp[$n-1],$tp[$n],$c0
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addze $tp[$n],$tp[$n+1]
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addi $i,$i,$SIZE_T
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bdnz $label->{"outer"}
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and. $tp[$n],$tp[$n],$tp[$n]
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bne $label->{"sub"}
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cmpld $tp[$n-1],$npj
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blt $label->{"copy"}
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$label->{"sub"}:
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___
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#
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# Reduction
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#
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$self->add_code(<<___);
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ld $bpj,`0*$SIZE_T`($np)
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subfc $c1,$bpj,$tp[0]
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std $c1,`0*$SIZE_T`($rp)
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___
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for (my $j = 1; $j < $n - 1; $j++) {
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$self->add_code(<<___);
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ld $bpj,`$j*$SIZE_T`($np)
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subfe $c1,$bpj,$tp[$j]
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std $c1,`$j*$SIZE_T`($rp)
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___
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}
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$self->add_code(<<___);
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subfe $c1,$npj,$tp[$n-1]
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std $c1,`($n-1)*$SIZE_T`($rp)
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___
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$self->add_code(<<___);
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addme. $tp[$n],$tp[$n]
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beq $label->{"end"}
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$label->{"copy"}:
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___
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$self->copy_result();
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$self->add_code(<<___);
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$label->{"end"}:
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___
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$self->restore_registers();
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$self->add_code(<<___);
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li r3,1
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blr
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.size .${fname},.-.${fname}
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___
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}
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package Mont::GPR;
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our @ISA = ('Mont');
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sub new($$)
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{
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my ($class, $n) = @_;
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return $class->SUPER::new($n);
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}
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sub save_registers($)
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{
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my ($self) = @_;
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my $n = $self->{n};
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$self->add_code(<<___);
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std $lo,-8($sp)
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___
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for (my $j = 0; $j <= $n+1; $j++) {
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$self->{code}.=<<___;
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std $tp[$j],-`($j+2)*8`($sp)
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___
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}
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$self->add_code(<<___);
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___
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}
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sub restore_registers($)
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{
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my ($self) = @_;
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my $n = $self->{n};
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$self->add_code(<<___);
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ld $lo,-8($sp)
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___
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for (my $j = 0; $j <= $n+1; $j++) {
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$self->{code}.=<<___;
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ld $tp[$j],-`($j+2)*8`($sp)
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___
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}
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$self->{code} .=<<___;
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___
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}
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# Direct translation of C mul()
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sub mul($$$$$)
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{
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my ($self, $r, $a, $w, $c) = @_;
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$self->add_code(<<___);
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mulld $lo,$a,$w
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addc $r,$lo,$c
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mulhdu $c,$a,$w
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addze $c,$c
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___
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}
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# Like mul() but $c is ignored as an input - an optimisation to save a
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# preliminary instruction that would set input $c to 0
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sub mul_c_0($$$$$)
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{
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my ($self, $r, $a, $w, $c) = @_;
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$self->add_code(<<___);
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mulld $r,$a,$w
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mulhdu $c,$a,$w
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___
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}
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# Like mul() but does not to the final addition of CA into $c - an
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# optimisation to save an instruction
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sub mul_last($$$$$$)
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{
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my ($self, $r1, $r2, $a, $w, $c) = @_;
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$self->add_code(<<___);
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mulld $lo,$a,$w
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addc $r1,$lo,$c
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mulhdu $c,$a,$w
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addze $r2,$c
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___
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}
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# Like C mul_add() but allow $r_out and $r_in to be different
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sub mul_add($$$$$$)
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{
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my ($self, $r_out, $r_in, $a, $w, $c) = @_;
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$self->add_code(<<___);
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mulld $lo,$a,$w
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addc $lo,$lo,$c
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mulhdu $c,$a,$w
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addze $c,$c
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addc $r_out,$r_in,$lo
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addze $c,$c
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___
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}
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# Like mul_add() but $c is ignored as an input - an optimisation to save a
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# preliminary instruction that would set input $c to 0
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sub mul_add_c_0($$$$$$)
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{
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my ($self, $r_out, $r_in, $a, $w, $c) = @_;
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$self->add_code(<<___);
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mulld $lo,$a,$w
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addc $r_out,$r_in,$lo
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mulhdu $c,$a,$w
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addze $c,$c
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___
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}
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package Mont::GPR_300;
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our @ISA = ('Mont::GPR');
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sub new($$)
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{
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my ($class, $n) = @_;
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my $mont = $class->SUPER::new($n);
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return $mont;
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}
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sub get_function_name($)
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{
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my ($self) = @_;
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return "bn_mul_mont_300_fixed_n" . $self->{n};
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}
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sub get_label($$)
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{
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my ($self, $l) = @_;
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return "L" . $l . "_300_" . $self->{n};
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}
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# Direct translation of C mul()
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sub mul($$$$$)
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{
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my ($self, $r, $a, $w, $c, $last) = @_;
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$self->add_code(<<___);
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maddld $r,$a,$w,$c
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maddhdu $c,$a,$w,$c
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___
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}
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# Save the last carry as the final entry
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sub mul_last($$$$$)
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{
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my ($self, $r1, $r2, $a, $w, $c) = @_;
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$self->add_code(<<___);
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maddld $r1,$a,$w,$c
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maddhdu $r2,$a,$w,$c
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___
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}
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# Like mul() but $c is ignored as an input - an optimisation to save a
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# preliminary instruction that would set input $c to 0
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sub mul_c_0($$$$$)
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{
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my ($self, $r, $a, $w, $c) = @_;
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$self->add_code(<<___);
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mulld $r,$a,$w
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mulhdu $c,$a,$w
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___
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}
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# Like C mul_add() but allow $r_out and $r_in to be different
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sub mul_add($$$$$$)
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{
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my ($self, $r_out, $r_in, $a, $w, $c) = @_;
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$self->add_code(<<___);
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maddld $lo,$a,$w,$c
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maddhdu $c,$a,$w,$c
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addc $r_out,$r_in,$lo
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addze $c,$c
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___
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}
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# Like mul_add() but $c is ignored as an input - an optimisation to save a
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# preliminary instruction that would set input $c to 0
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sub mul_add_c_0($$$$$$)
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{
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my ($self, $r_out, $r_in, $a, $w, $c) = @_;
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$self->add_code(<<___);
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maddld $lo,$a,$w,$r_in
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maddhdu $c,$a,$w,$r_in
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___
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if ($r_out ne $lo) {
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$self->add_code(<<___);
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mr $r_out,$lo
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___
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}
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$self->nl();
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}
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package main;
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my $code;
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$code.=<<___;
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.machine "any"
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.text
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___
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my $mont;
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$mont = new Mont::GPR(6);
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$mont->mul_mont_fixed();
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$code .= $mont->get_code();
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$mont = new Mont::GPR_300(6);
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$mont->mul_mont_fixed();
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$code .= $mont->get_code();
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$code =~ s/\`([^\`]*)\`/eval $1/gem;
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$code.=<<___;
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.asciz "Montgomery Multiplication for PPC by <amitay\@ozlabs.org>, <alastair\@d-silva.org>"
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___
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print $code;
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close STDOUT or die "error closing STDOUT: $!";
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