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#!/usr/bin/perl -w
# Copyright 2011, 2012, 2013 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 => 2;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use MyOEIS;
use Math::PlanePath::FractionsTree;
# uncomment this to run the ### lines
#use Smart::Comments '###';
sub numeq_array {
my ($a1, $a2) = @_;
if (! ref $a1 || ! ref $a2) {
return 0;
}
my $i = 0;
while ($i < @$a1 && $i < @$a2) {
if ($a1->[$i] ne $a2->[$i]) {
return 0;
}
$i++;
}
return (@$a1 == @$a2);
}
#------------------------------------------------------------------------------
# A093873 -- Kepler numerators
# {
# my $path = Math::PlanePath::FractionsTree->new (tree_type => 'Kepler');
# my $anum = 'A093873';
# my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
# my @got;
# if ($bvalues) {
# foreach my $n (1 .. @$bvalues) {
# my ($x, $y) = $path->n_to_xy (int(($n+1)/2));
# push @got, $x;
# }
# }
# skip (! $bvalues,
# numeq_array(\@got, $bvalues),
# 1, "$anum -- Kepler tree numerators");
# }
#
# sub sans_high_bit {
# my ($n) = @_;
# return $n ^ high_bit($n);
# }
# sub high_bit {
# my ($n) = @_;
# my $bit;
# for ($bit = 1; $bit <= $n; $bit <<= 1) {
# $bit <<= 1;
# }
# return $bit >> 1;
# }
#------------------------------------------------------------------------------
# A093875 -- Kepler denominators
# {
# my $path = Math::PlanePath::FractionsTree->new (tree_type => 'Kepler');
# my $anum = 'A093875';
# my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
# my @got;
# if ($bvalues) {
# foreach my $n (2 .. @$bvalues) {
# my ($x, $y) = $path->n_to_xy (int($n/2));
# push @got, $y;
# }
# }
# skip (! $bvalues,
# numeq_array(\@got, $bvalues),
# 1, "$anum -- Kepler tree denominators");
# }
#------------------------------------------------------------------------------
# A086593 -- Kepler half-tree denominators, every second value
{
my $anum = 'A086593';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
{
my $path = Math::PlanePath::FractionsTree->new (tree_type => 'Kepler');
my @got;
if ($bvalues) {
for (my $n = $path->n_start; @got < @$bvalues; $n += 2) {
my ($x, $y) = $path->n_to_xy ($n);
push @got, $y;
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- Kepler half-tree denominators every second value");
}
# is also the sum X+Y, skipping initial 2
{
my $path = Math::PlanePath::FractionsTree->new (tree_type => 'Kepler');
my @got;
if ($bvalues) {
push @got, 2;
for (my $n = $path->n_start; @got < @$bvalues; $n++) {
my ($x, $y) = $path->n_to_xy ($n);
push @got, $x+$y;
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- as sum X+Y");
}
}
#------------------------------------------------------------------------------
exit 0;
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