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#!/usr/bin/perl -w
# Copyright 2011, 2012, 2013, 2014 Kevin Ryde
# This file is part of Math-PlanePath.
#
# Math-PlanePath is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by the Free
# Software Foundation; either version 3, or (at your option) any later
# version.
#
# Math-PlanePath is distributed in the hope that it will be useful, but
# WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
# for more details.
#
# You should have received a copy of the GNU General Public License along
# with Math-PlanePath. If not, see <http://www.gnu.org/licenses/>.
use 5.004;
use strict;
use Test;
plan tests => 311;
use lib 't';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
# uncomment this to run the ### lines
#use Devel::Comments;
require Math::PlanePath::ImaginaryBase;
#------------------------------------------------------------------------------
# VERSION
{
my $want_version = 117;
ok ($Math::PlanePath::ImaginaryBase::VERSION, $want_version,
'VERSION variable');
ok (Math::PlanePath::ImaginaryBase->VERSION, $want_version,
'VERSION class method');
ok (eval { Math::PlanePath::ImaginaryBase->VERSION($want_version); 1 },
1,
"VERSION class check $want_version");
my $check_version = $want_version + 1000;
ok (! eval { Math::PlanePath::ImaginaryBase->VERSION($check_version); 1 },
1,
"VERSION class check $check_version");
my $path = Math::PlanePath::ImaginaryBase->new;
ok ($path->VERSION, $want_version, 'VERSION object method');
ok (eval { $path->VERSION($want_version); 1 },
1,
"VERSION object check $want_version");
ok (! eval { $path->VERSION($check_version); 1 },
1,
"VERSION object check $check_version");
}
#------------------------------------------------------------------------------
# n_start, x_negative, y_negative
{
my $path = Math::PlanePath::ImaginaryBase->new;
ok ($path->n_start, 0, 'n_start()');
ok ($path->x_negative, 1, 'x_negative()');
ok ($path->y_negative, 1, 'y_negative()');
}
#------------------------------------------------------------------------------
# random points
{
my $radix = 2 + int(rand(20));
my $path = Math::PlanePath::ImaginaryBase->new (radix => $radix);
for (1 .. 100) {
my $bits = int(rand(25)); # 0 to 25, inclusive
my $n = int(rand(2**$bits)) + 1; # 1 to 2^bits, inclusive
my ($x,$y) = $path->n_to_xy ($n);
my $rev_n = $path->xy_to_n ($x,$y);
if (! defined $rev_n) { $rev_n = 'undef'; }
ok ($rev_n, $n,
"xy_to_n($x,$y) radix=$radix reverse to expect n=$n, got $rev_n");
my ($n_lo, $n_hi) = $path->rect_to_n_range ($x,$y, $x,$y);
ok ($n_lo <= $n, 1,
"rect_to_n_range() radix=$radix reverse n=$n cf got n_lo=$n_lo");
ok ($n_hi >= $n, 1,
"rect_to_n_range() radix=$radix reverse n=$n cf got n_hi=$n_hi");
}
}
#------------------------------------------------------------------------------
# cf A039724 negabinary
# A039723 negadecimal
sub index_to_negaradix {
my ($n, $radix) = @_;
my $power = 1;
my $ret = 0;
while ($n) {
my $digit = $n % $radix; # low to high
$n = int($n/$radix);
$ret += $power * $digit;
$power *= -$radix;
}
return $ret;
}
{
require Math::PlanePath::ZOrderCurve;
my $bad = 0;
foreach my $radix (2, 3, 5, 10, 16) {
my $zorder = Math::PlanePath::ZOrderCurve->new (radix => $radix);
my $imbase = Math::PlanePath::ImaginaryBase->new (radix => $radix);
foreach my $n (0 .. 256) {
my ($zx,$zy) = $zorder->n_to_xy($n);
my $nx = index_to_negaradix($zx,$radix);
my $ny = index_to_negaradix($zy,$radix);
my $in = $imbase->xy_to_n($nx,$ny);
if ($n != $in) {
$bad = 1;
}
}
}
ok ($bad, 0);
}
exit 0;
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