#!/usr/bin/perl -w
# Copyright 2011, 2012, 2013, 2014, 2015 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 => 216;;
use lib 't';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
require Math::PlanePath::AztecDiamondRings;
#------------------------------------------------------------------------------
# VERSION
{
my $want_version = 121;
ok ($Math::PlanePath::AztecDiamondRings::VERSION, $want_version,
'VERSION variable');
ok (Math::PlanePath::AztecDiamondRings->VERSION, $want_version,
'VERSION class method');
ok (eval { Math::PlanePath::AztecDiamondRings->VERSION($want_version); 1 },
1,
"VERSION class check $want_version");
my $check_version = $want_version + 1000;
ok (! eval { Math::PlanePath::AztecDiamondRings->VERSION($check_version); 1 },
1,
"VERSION class check $check_version");
my $path = Math::PlanePath::AztecDiamondRings->new;
ok ($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");
}
#------------------------------------------------------------------------------
# rect_to_n_range()
{
my $path = Math::PlanePath::AztecDiamondRings->new;
foreach my $elem
(
[1,-2, 1,2, 5,27], # X=1, Y=-2..2 being 23,12,5,14,27
[-1,-2, -1,2, 2,16], # X=-1, Y=-2..2 being 10,3,2,7,16
[-2,1, 2,1, 6,26], # Y=1, X=-2..2 being 17,7,6,14,26
[-2,-1, 2,-1, 3,24], # Y=-1, X=-2..2 being 9,3,4,12,24
[-2,-1, 1,-1, 3,12], # Y=-1, X=-2..1 being 9,3,4,12
[0,-2, -2,-2, 10,20], # Y=-2, X=-2 to 0 being 20,10,11
) {
my ($x1,$y1,$x2,$y2, $want_lo, $want_hi) = @$elem;
my ($got_lo, $got_hi) = $path->rect_to_n_range ($x1,$y1, $x2,$y2);
ok ($got_lo, $want_lo, "lo on $x1,$y1 $x2,$y2");
ok ($got_hi, $want_hi, "hi on $x1,$y1 $x2,$y2");
}
}
#------------------------------------------------------------------------------
# n_start, x_negative, y_negative
{
my $path = Math::PlanePath::AztecDiamondRings->new;
ok ($path->n_start, 1, 'n_start()');
ok ($path->x_negative, 1, 'x_negative()');
ok ($path->y_negative, 1, 'y_negative()');
ok ($path->class_x_negative, 1, 'class_x_negative() instance method');
ok ($path->class_y_negative, 1, 'class_y_negative() instance method');
}
{
my @pnames = map {$_->{'name'}}
Math::PlanePath::AztecDiamondRings->parameter_info_list;
ok (join(',',@pnames), 'n_start');
}
{
my $path = Math::PlanePath::AztecDiamondRings->new (n_start => 0);
ok ($path->n_start, 0, 'n_start()');
}
#------------------------------------------------------------------------------
# first few points
{
my $path = Math::PlanePath::AztecDiamondRings->new;
my @data = (
[ 1, 0,0 ],
[ 2, -1,0 ],
[ 3, -1,-1 ],
[ 4, 0,-1 ],
[ 5, 1,0 ],
[ 6, 0,1 ],
[ 7, -1,1 ],
[ 8, -2,0 ],
[ 1.25, -.25, 0 ],
[ 1.75, -.75, 0 ],
[ 2.25, -1, -.25 ],
[ 3.25, -.75, -1 ],
[ 4.25, 0, -.75 ],
[ 12.25, 1, -.75 ],
[ 24.25, 2, -.75 ],
);
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=$y");
}
if ($n == int($n)) {
{
my ($got_nlo, $got_nhi) = $path->rect_to_n_range (0,0, $x,$y);
ok ($got_nlo <= $n, 1, "rect_to_n_range(0,0,$x,$y) for n=$n, got_nlo=$got_nlo");
ok ($got_nhi >= $n, 1, "rect_to_n_range(0,0,$x,$y) for n=$n, got_nhi=$got_nhi");
}
{
$n = int($n);
my ($got_nlo, $got_nhi) = $path->rect_to_n_range ($x,$y, $x,$y);
ok ($got_nlo <= $n, 1, "rect_to_n_range($x,$y,$x,$y) for n=$n, got_nlo=$got_nlo");
ok ($got_nhi >= $n, 1, "rect_to_n_range($x,$y,$x,$y) for n=$n, got_nhi=$got_nhi");
}
}
}
}
#------------------------------------------------------------------------------
# random fracs
{
my $path = Math::PlanePath::AztecDiamondRings->new;
for (1 .. 20) {
my $bits = int(rand(20)); # 0 to 20, inclusive
my $n = int(rand(2**$bits)) + 1; # 1 to 2^bits, inclusive
my ($x1,$y1) = $path->n_to_xy ($n);
my ($x2,$y2) = $path->n_to_xy ($n+1);
foreach my $frac (0.25, 0.5, 0.75) {
my $want_xf = $x1 + ($x2-$x1)*$frac;
my $want_yf = $y1 + ($y2-$y1)*$frac;
# the end of the ring goes towards the start of the current ring, not
# the next
if ($y1 == -1 && $x1 >= 0) {
$want_xf = $x1;
}
my $nf = $n + $frac;
my ($got_xf,$got_yf) = $path->n_to_xy ($nf);
ok ($got_xf, $want_xf, "n_to_xy($n) frac $frac, x");
ok ($got_yf, $want_yf, "n_to_xy($n) frac $frac, y");
}
}
}
exit 0;