#!/usr/bin/perl -w
# Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020 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 => 236;
use lib 't';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use Math::PlanePath::CoprimeColumns;
#------------------------------------------------------------------------------
# VERSION
{
my $want_version = 129;
ok ($Math::PlanePath::CoprimeColumns::VERSION, $want_version,
'VERSION variable');
ok (Math::PlanePath::CoprimeColumns->VERSION, $want_version,
'VERSION class method');
ok (eval { Math::PlanePath::CoprimeColumns->VERSION($want_version); 1 },
1,
"VERSION class check $want_version");
my $check_version = $want_version + 1000;
ok (! eval { Math::PlanePath::CoprimeColumns->VERSION($check_version); 1 },
1,
"VERSION class check $check_version");
my $path = Math::PlanePath::CoprimeColumns->new;
ok ($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 $path = Math::PlanePath::CoprimeColumns->new;
ok ($path->n_start, 0, 'n_start()');
ok ($path->x_negative, 0, 'x_negative()');
ok ($path->y_negative, 0, 'y_negative()');
ok ($path->class_x_negative, 0, 'class_x_negative() instance method');
ok ($path->class_y_negative, 0, 'class_y_negative() instance method');
}
{
my $path = Math::PlanePath::CoprimeColumns->new (n_start => 37);
ok ($path->n_start, 37, 'n_start() 37');
}
{
my @pnames = map {$_->{'name'}}
Math::PlanePath::CoprimeColumns->parameter_info_list;
ok (join(',',@pnames), 'direction,n_start');
}
#------------------------------------------------------------------------------
# _coprime()
foreach my $elem ([ 1,1, 1 ],
[ 6,1, 1 ],
[ 6,2, 0 ],
[ 6,3, 0 ],
[ 6,4, 0 ],
[ 6,5, 1 ],
) {
my ($x,$y, $want) = @$elem;
{
my $got = Math::PlanePath::CoprimeColumns::_coprime($x,$y);
$got = $got-0;
ok ($got, $want, "_coprime($x,$y)");
}
{
my $got = Math::PlanePath::CoprimeColumns::_coprime($y,$x);
$got = $got-0;
ok ($got, $want, "_coprime($x,$y)");
}
}
#------------------------------------------------------------------------------
# _totient()
foreach my $elem (
[ 1, 1 ], # 1 itself only
[ 2, 1 ], # 1 only
[ 3, 2 ], # 1,2
[ 4, 2 ], # 1,3
[ 5, 4 ], # 1,2,3,4
[ 6, 2 ], # 1,5
) {
my ($x, $want) = @$elem;
my $got = Math::PlanePath::CoprimeColumns::_totient($x);
ok ($got, $want, "_totient($x)");
}
foreach my $x (1 .. 100) {
my $want = 0;
foreach my $y (1 .. $x) {
$want += Math::PlanePath::CoprimeColumns::_coprime($x,$y);
}
my $got = Math::PlanePath::CoprimeColumns::_totient($x);
ok ($got, $want, "_totient($x) vs _coprime()");
}
#------------------------------------------------------------------------------
# first few points
{
my @elems = ([ [],
[ 0, 1,1 ],
[ 1, 2,1 ],
[ 2, 3,1 ],
[ 3, 3,2 ],
[ 4, 4,1 ],
[ 5, 4,3 ],
[ 6, 5,1 ],
[ 7, 5,2 ],
[ 8, 5,3 ],
[ 9, 5,4 ],
[ 10, 6,1 ],
[ 11, 6,5 ],
[ 12, 7,1 ],
[ -0.5, 1, .5 ],
[ -0.25, 1, .75 ],
[ .25, 1, 1.25 ],
],
[ [ direction => 'down' ],
[ 2, 3,2 ],
[ 3, 3,1 ],
[ 6, 5,4 ],
[ 7, 5,3 ],
[ 8, 5,2 ],
[ 9, 5,1 ],
],
);
foreach my $elem (@elems) {
my ($options_aref, @data) = @$elem;
my $path = Math::PlanePath::CoprimeColumns->new (@$options_aref);
foreach my $elem (@data) {
my ($n, $want_x, $want_y) = @$elem;
my ($got_x, $got_y) = $path->n_to_xy ($n);
ok ($got_x, $want_x, "n_to_xy() x at n=$n");
ok ($got_y, $want_y, "n_to_xy() y at n=$n");
}
foreach my $elem (@data) {
my ($want_n, $x, $y) = @$elem;
next unless $want_n==int($want_n);
my $got_n = $path->xy_to_n ($x, $y);
ok ($got_n, $want_n, "n at x=$x,y=$y");
}
foreach my $elem (@data) {
my ($n, $x, $y) = @$elem;
my ($got_nlo, $got_nhi) = $path->rect_to_n_range (0,0, $x,$y);
next unless $n==int($n);
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() distinct n
{
my $path = Math::PlanePath::CoprimeColumns->new;
my $bad = 0;
my %seen;
my $xlo = -5;
my $xhi = 100;
my $ylo = -5;
my $yhi = 100;
my ($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");
}
#------------------------------------------------------------------------------
# rect_to_n_range()
{
my $path = Math::PlanePath::CoprimeColumns->new;
my ($nlo, $nhi) = $path->rect_to_n_range(1,1, -2,1);
ok ($nlo <= 0, 1, "nlo $nlo");
ok ($nhi >= 0, 1, "nhi $nhi");
}
exit 0;