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#!/usr/bin/perl -w
# Copyright 2011, 2012, 2013, 2019, 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 Test;
plan tests => 6;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use MyOEIS;
use Math::PlanePath::DiagonalRationals;
use Math::PlanePath::RationalsTree;
my $diagrat = Math::PlanePath::DiagonalRationals->new;
# uncomment this to run the ### lines
#use Smart::Comments '###';
#------------------------------------------------------------------------------
# A038567 -- X+Y except no 0/1 in path
MyOEIS::compare_values
(anum => 'A038567',
max_count => 10000,
func => sub {
my ($count) = @_;
my @got = (1);
for (my $n = $diagrat->n_start; @got < $count; $n++) {
my ($x, $y) = $diagrat->n_to_xy ($n);
push @got, $x+$y;
}
return \@got;
});
#------------------------------------------------------------------------------
# A054430 -- N at transpose Y,X
MyOEIS::compare_values
(anum => 'A054430',
func => sub {
my ($count) = @_;
my @got;
for (my $n = $diagrat->n_start; @got < $count; $n++) {
my ($x, $y) = $diagrat->n_to_xy ($n);
($x, $y) = ($y, $x);
my $n = $diagrat->xy_to_n ($x, $y);
push @got, $n;
}
return \@got;
});
#------------------------------------------------------------------------------
# A054431 - by anti-diagonals 1 if coprime, 0 if not
MyOEIS::compare_values
(anum => 'A054431',
func => sub {
my ($count) = @_;
my @got;
my $prev_n = $diagrat->n_start - 1;
OUTER: for (my $y = 1; ; $y ++) {
foreach my $x (1 .. $y-1) {
my $n = $diagrat->xy_to_n($x,$y-$x);
if (defined $n) {
push @got, 1;
if ($n != $prev_n + 1) {
die "oops, not n+1";
}
$prev_n = $n;
} else {
push @got, 0;
}
last OUTER if @got >= $count;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A054424 - permutation diagonal N -> SB N
# A054426 - inverse SB N -> Cantor N
MyOEIS::compare_values
(anum => 'A054424',
func => sub {
my ($count) = @_;
require Math::PlanePath::RationalsTree;
my $sb = Math::PlanePath::RationalsTree->new (tree_type => 'SB');
my @got;
foreach my $n (1 .. $count) {
my ($x,$y) = $diagrat->n_to_xy ($n);
push @got, $sb->xy_to_n($x,$y);
}
return \@got;
});
MyOEIS::compare_values
(anum => 'A054426',
func => sub {
my ($count) = @_;
require Math::PlanePath::RationalsTree;
my $sb = Math::PlanePath::RationalsTree->new (tree_type => 'SB');
my @got;
foreach my $n (1 .. $count) {
my ($x,$y) = $sb->n_to_xy ($n);
push @got, $diagrat->xy_to_n($x,$y);
}
return \@got;
});
#------------------------------------------------------------------------------
# A054425 - A054424 mapping expanded out to 0s at common-factor X,Y
MyOEIS::compare_values
(anum => 'A054425',
func => sub {
my ($count) = @_;
require Math::PlanePath::Diagonals;
require Math::PlanePath::RationalsTree;
my $diag = Math::PlanePath::Diagonals->new (x_start=>1, y_start=>1);
my $sb = Math::PlanePath::RationalsTree->new (tree_type => 'SB');
my @got;
for (my $n = $diag->n_start; @got < $count; $n++) {
my ($x,$y) = $diag->n_to_xy($n);
### frac: "$x/$y"
my $cn = $diagrat->xy_to_n ($x,$y);
if (defined $cn) {
push @got, $sb->xy_to_n($x,$y);
} else {
push @got, 0;
}
}
return \@got;
});
exit 0;
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