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#! /usr/bin/env perl
# Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
#
# 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
# Run the tests specified in bntests.txt, as a check against OpenSSL.
use strict;
use warnings;
use Math::BigInt;
my $EXPECTED_FAILURES = 0;
my $failures = 0;
sub bn
{
my $x = shift;
my ($sign, $hex) = ($x =~ /^([+\-]?)(.*)$/);
$hex = '0x' . $hex if $hex !~ /^0x/;
return Math::BigInt->from_hex($sign.$hex);
}
sub evaluate
{
my $lineno = shift;
my %s = @_;
if ( defined $s{'Sum'} ) {
# Sum = A + B
my $sum = bn($s{'Sum'});
my $a = bn($s{'A'});
my $b = bn($s{'B'});
return if $sum == $a + $b;
} elsif ( defined $s{'LShift1'} ) {
# LShift1 = A * 2
my $lshift1 = bn($s{'LShift1'});
my $a = bn($s{'A'});
return if $lshift1 == $a->bmul(2);
} elsif ( defined $s{'LShift'} ) {
# LShift = A * 2**N
my $lshift = bn($s{'LShift'});
my $a = bn($s{'A'});
my $n = bn($s{'N'});
return if $lshift == $a->blsft($n);
} elsif ( defined $s{'RShift'} ) {
# RShift = A / 2**N
my $rshift = bn($s{'RShift'});
my $a = bn($s{'A'});
my $n = bn($s{'N'});
return if $rshift == $a->brsft($n);
} elsif ( defined $s{'Square'} ) {
# Square = A * A
my $square = bn($s{'Square'});
my $a = bn($s{'A'});
return if $square == $a->bmul($a);
} elsif ( defined $s{'Product'} ) {
# Product = A * B
my $product = bn($s{'Product'});
my $a = bn($s{'A'});
my $b = bn($s{'B'});
return if $product == $a->bmul($b);
} elsif ( defined $s{'Quotient'} ) {
# Quotient = A / B
# Remainder = A - B * Quotient
my $quotient = bn($s{'Quotient'});
my $remainder = bn($s{'Remainder'});
my $a = bn($s{'A'});
my $b = bn($s{'B'});
# First the remainder test.
$b->bmul($quotient);
my $rempassed = $remainder == $a->bsub($b) ? 1 : 0;
# Math::BigInt->bdiv() is documented to do floored division,
# i.e. 1 / -4 = -1, while OpenSSL BN_div does truncated
# division, i.e. 1 / -4 = 0. We need to make the operation
# work like OpenSSL's BN_div to be able to verify.
$a = bn($s{'A'});
$b = bn($s{'B'});
my $neg = $a->is_neg() ? !$b->is_neg() : $b->is_neg();
$a->babs();
$b->babs();
$a->bdiv($b);
$a->bneg() if $neg;
return if $rempassed && $quotient == $a;
} elsif ( defined $s{'ModMul'} ) {
# ModMul = (A * B) mod M
my $modmul = bn($s{'ModMul'});
my $a = bn($s{'A'});
my $b = bn($s{'B'});
my $m = bn($s{'M'});
$a->bmul($b);
return if $modmul == $a->bmod($m);
} elsif ( defined $s{'ModExp'} ) {
# ModExp = (A ** E) mod M
my $modexp = bn($s{'ModExp'});
my $a = bn($s{'A'});
my $e = bn($s{'E'});
my $m = bn($s{'M'});
return if $modexp == $a->bmodpow($e, $m);
} elsif ( defined $s{'Exp'} ) {
my $exp = bn($s{'Exp'});
my $a = bn($s{'A'});
my $e = bn($s{'E'});
return if $exp == $a ** $e;
} elsif ( defined $s{'ModSqrt'} ) {
# (ModSqrt * ModSqrt) mod P = A mod P
my $modsqrt = bn($s{'ModSqrt'});
my $a = bn($s{'A'});
my $p = bn($s{'P'});
$modsqrt->bmul($modsqrt);
$modsqrt->bmod($p);
$a->bmod($p);
return if $modsqrt == $a;
} else {
print "# Unknown test: ";
}
$failures++;
print "# #$failures Test (before line $lineno) failed\n";
foreach ( keys %s ) {
print "$_ = $s{$_}\n";
}
print "\n";
}
my $infile = shift || 'bntests.txt';
die "No such file, $infile" unless -f $infile;
open my $IN, $infile || die "Can't read $infile, $!\n";
my %stanza = ();
my $l = 0;
while ( <$IN> ) {
$l++;
s|\R$||;
next if /^#/;
if ( /^$/ ) {
if ( keys %stanza ) {
evaluate($l, %stanza);
%stanza = ();
}
next;
}
# Parse 'key = value'
if ( ! /\s*([^\s]*)\s*=\s*(.*)\s*/ ) {
print "Skipping $_\n";
next;
}
$stanza{$1} = $2;
};
evaluate($l, %stanza) if keys %stanza;
die "Got $failures, expected $EXPECTED_FAILURES"
if $infile eq 'bntests.txt' and $failures != $EXPECTED_FAILURES;
close($IN)
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