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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 => 596;
use lib 't';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
require Math::PlanePath::GosperIslands;
#------------------------------------------------------------------------------
# VERSION
{
my $want_version = 117;
ok ($Math::PlanePath::GosperIslands::VERSION, $want_version,
'VERSION variable');
ok (Math::PlanePath::GosperIslands->VERSION, $want_version,
'VERSION class method');
ok (eval { Math::PlanePath::GosperIslands->VERSION($want_version); 1 },
1,
"VERSION class check $want_version");
my $check_version = $want_version + 1000;
ok (! eval { Math::PlanePath::GosperIslands->VERSION($check_version); 1 },
1,
"VERSION class check $check_version");
my $path = Math::PlanePath::GosperIslands->new;
ok ($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 $path = Math::PlanePath::GosperIslands->new;
ok ($path->n_start, 1, 'n_start()');
ok ($path->x_negative, 1, 'x_negative()');
ok ($path->y_negative, 1, 'y_negative()');
}
#------------------------------------------------------------------------------
# first few points
{
my @data = (
# [ .5, -1.5, -.5 ],
# [ 3.25, 1.25, -.25 ],
# [ 3.75, -3.25, -.25 ],
#
[ 1, 2,0 ],
[ 2, 1,1 ],
[ 3, -1,1 ],
[ 4, -2,0 ],
[ 5, -1,-1 ],
[ 6, 1,-1 ],
[ 7, 5,1 ],
[ 8, 4,2 ],
[ 9, 2,2 ],
[ 10, 1,3 ],
[ 11, -1,3 ],
[ 12, -2,2 ],
[ 13, -4,2 ],
[ 14, -5,1 ],
[ 15, -4,0 ],
[ 25, 11,5 ],
# [ 9, 1,2 ],
# [ 10, 3,2 ],
# [ 11, 2,1 ],
# [ 12, 3,0 ],
#
[ 33, -1,7 ],
);
my $path = Math::PlanePath::GosperIslands->new;
foreach my $elem (@data) {
my ($n, $x, $y) = @$elem;
{
# n_to_xy()
my ($got_x, $got_y) = $path->n_to_xy ($n);
if ($got_x == 0) { $got_x = 0 } # avoid "-0"
if ($got_y == 0) { $got_y = 0 }
ok ($got_x, $x, "n_to_xy() x at n=$n");
ok ($got_y, $y, "n_to_xy() y at n=$n");
}
if ($n==int($n)) {
# xy_to_n()
my $got_n = $path->xy_to_n ($x, $y);
ok ($got_n, $n, "xy_to_n() n at x=$x,y=$y");
}
{
$n = int($n);
my ($got_nlo, $got_nhi) = $path->rect_to_n_range (0,0, $x,$y);
ok ($got_nlo <= $n, 1, "rect_to_n_range() nlo=$got_nlo at n=$n,x=$x,y=$y");
ok ($got_nhi >= $n, 1, "rect_to_n_range() nhi=$got_nhi at n=$n,x=$x,y=$y");
}
}
}
#------------------------------------------------------------------------------
# xy_to_n() reverse n_to_xy()
{
my $path = Math::PlanePath::GosperIslands->new;
for (1 .. 500) {
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,$y);
ok ($rev_n, $n, "xy_to_n() reverse n=$n");
}
}
#------------------------------------------------------------------------------
# xy_to_n() distinct n
{
my $path = Math::PlanePath::GosperIslands->new;
my $bad = 0;
my %seen;
my $xlo = -50;
my $xhi = 50;
my $ylo = -50;
my $yhi = 50;
my ($nlo, $nhi) = $path->rect_to_n_range($xlo,$ylo, $xhi,$yhi);
my $count = 0;
OUTER: for (my $x = $xlo; $x <= $xhi; $x++) {
for (my $y = $ylo; $y <= $yhi; $y++) {
next if ($x ^ $y) & 1;
my $n = $path->xy_to_n ($x,$y);
next if ! defined $n; # sparse
if ($seen{$n}) {
MyTestHelpers::diag ("x=$x,y=$y n=$n seen before at $seen{$n}");
last if $bad++ > 10;
}
if ($n < $nlo) {
MyTestHelpers::diag ("x=$x,y=$y n=$n below nlo=$nlo");
last OUTER if $bad++ > 10;
}
if ($n > $nhi) {
MyTestHelpers::diag ("x=$x,y=$y n=$n above nhi=$nhi");
last OUTER if $bad++ > 10;
}
$seen{$n} = "$x,$y";
$count++;
}
}
ok ($bad, 0, "xy_to_n() coverage and distinct, $count points");
}
exit 0;
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