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#!/usr/bin/perl -w
# Copyright 2013, 2021 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 List::Util 'max';
use Math::BigInt try => 'GMP'; # for bignums in reverse-add steps
use Test;
plan tests => 46;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::PlanePath::WythoffDifference;
use Math::PlanePath::Diagonals;
#------------------------------------------------------------------------------
# A080164 -- Wythoff difference array by anti-diagonals
MyOEIS::compare_values
(anum => 'A080164',
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::WythoffDifference->new;
my $diag = Math::PlanePath::Diagonals->new (direction => 'up');
my @got;
for (my $d = $diag->n_start; @got < $count; $d++) {
my ($x,$y) = $diag->n_to_xy($d); # by anti-diagonals
push @got, $path->xy_to_n($x,$y);
}
return \@got;
});
# A134571 downwards
MyOEIS::compare_values
(anum => 'A134571',
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::WythoffDifference->new;
my $diag = Math::PlanePath::Diagonals->new (direction => 'down');
my @got;
for (my $d = $diag->n_start; @got < $count; $d++) {
my ($x,$y) = $diag->n_to_xy($d); # by anti-diagonals
push @got, $path->xy_to_n($x,$y);
}
return \@got;
});
#------------------------------------------------------------------------------
# A191361 -- Wythoff difference array X-Y, diagonal containing n
MyOEIS::compare_values
(anum => 'A191361',
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::WythoffDifference->new;
my @got;
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x,$y) = $path->n_to_xy($n);
push @got, $x-$y;
}
return \@got;
});
#------------------------------------------------------------------------------
# A000201 -- Wythoff difference Y axis
# lower Wythoff sequence, spectrum of phi
MyOEIS::compare_values
(anum => 'A000201',
max_count => 200,
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::WythoffDifference->new;
my @got;
for (my $y = Math::BigInt->new(0); @got < $count; $y++) {
push @got, $path->xy_to_n (0, $y);
}
return \@got;
});
#------------------------------------------------------------------------------
# A001519 -- Wythoff difference X axis, a(n) = 3*a(n-1) - a(n-2)
# A122367
MyOEIS::compare_values
(anum => 'A122367',
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::WythoffDifference->new;
my @got;
for (my $x = Math::BigInt->new(0); @got < $count; $x++) {
push @got, $path->xy_to_n ($x, 0);
}
return \@got;
});
MyOEIS::compare_values
(anum => 'A001519',
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::WythoffDifference->new;
my @got = (1); # extra initial 1
for (my $x = Math::BigInt->new(0); @got < $count; $x++) {
push @got, $path->xy_to_n ($x, 0);
}
return \@got;
});
#------------------------------------------------------------------------------
exit 0;
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