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#!/usr/bin/perl -w
# Copyright 2011, 2012, 2013, 2014 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 => 14;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use MyOEIS;
use Math::PlanePath::FactorRationals;
# uncomment this to run the ### lines
#use Smart::Comments '###';
my $path = Math::PlanePath::FactorRationals->new;
#------------------------------------------------------------------------------
# A053985 - negabinary pos->pn
MyOEIS::compare_values
(anum => 'A053985',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = 0; @got < $count; $i++) {
push @got, Math::PlanePath::FactorRationals::_pos_to_pn__negabinary($i);
}
return \@got;
});
# A005351 pn(+ve) -> pos
MyOEIS::compare_values
(anum => 'A005351',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = 0; @got < $count; $i++) {
push @got, Math::PlanePath::FactorRationals::_pn_to_pos__negabinary($i);
}
return \@got;
});
# A039724 pn(+ve) -> pos, in binary
MyOEIS::compare_values
(anum => 'A039724',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = 0; @got < $count; $i++) {
push @got, sprintf('%b', Math::PlanePath::FactorRationals::_pn_to_pos__negabinary($i));
}
return \@got;
});
# A005352 pn(-ve) -> pos
MyOEIS::compare_values
(anum => 'A005352',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = -1; @got < $count; $i--) {
push @got, Math::PlanePath::FactorRationals::_pn_to_pos__negabinary($i);
}
return \@got;
});
#------------------------------------------------------------------------------
# A065620 - revbinary pos->pn
MyOEIS::compare_values
(anum => 'A065620',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = 1; @got < $count; $i++) {
push @got, Math::PlanePath::FactorRationals::_pos_to_pn__revbinary($i);
}
return \@got;
});
# A065621 pn(+ve) -> pos
MyOEIS::compare_values
(anum => 'A065621',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = 1; @got < $count; $i++) {
push @got, Math::PlanePath::FactorRationals::_pn_to_pos__revbinary($i);
}
return \@got;
});
# A048724 pn(-ve) -> pos n XOR 2n
MyOEIS::compare_values
(anum => 'A048724',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::FactorRationals;
for (my $i = 0; @got < $count; $i--) {
push @got, Math::PlanePath::FactorRationals::_pn_to_pos__revbinary($i);
}
return \@got;
});
#------------------------------------------------------------------------------
# A072345 -- X or Y at N=2^k, being alternately 1 and 2^k
MyOEIS::compare_values
(anum => 'A072345',
func => sub {
my ($count) = @_;
my @got;
for (my $n = 2; @got < $count; $n *= 2) {
my ($x, $y) = $path->n_to_xy ($n);
push @got, $x;
# last unless @got < $count;
# push @got, $y;
}
return\@got;
});
MyOEIS::compare_values
(anum => q{A072345},
func => sub {
my ($count) = @_;
my @got;
for (my $n = 1; @got < $count; $n *= 2) {
my ($x, $y) = $path->n_to_xy ($n);
push @got, $y;
}
return\@got;
});
#------------------------------------------------------------------------------
# A011262 -- N at transpose Y/X, incr odd powers, decr even powers
# cf A011264 prime factorization decr odd powers, incr even powers
MyOEIS::compare_values
(anum => 'A011262',
func => sub {
my ($count) = @_;
my @got;
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x, $y) = $path->n_to_xy ($n);
($x, $y) = ($y, $x);
my $n = $path->xy_to_n ($x, $y);
push @got, $n;
}
return\@got;
});
sub calc_A011262 {
my ($n) = @_;
my $ret = 1;
for (my $p = 2; $p <= $n; $p++) {
if (($n % $p) == 0) {
my $count = 0;
while (($n % $p) == 0) {
$n /= $p;
$count++;
}
$count = ($count & 1 ? $count+1 : $count-1);
# $count++;
# $count ^= 1;
# $count--;
$ret *= $p ** $count;
}
}
return $ret;
}
MyOEIS::compare_values
(anum => 'A011262',
func => sub {
my ($count) = @_;
my @got;
for (my $n = $path->n_start; @got < $count; $n++) {
push @got, calc_A011262($n);
}
return \@got;
});
#------------------------------------------------------------------------------
# A102631 - n^2/squarefreekernel(n), is column at X=1
MyOEIS::compare_values
(anum => 'A102631',
func => sub {
my ($count) = @_;
my @got;
for (my $y = 1; @got < $count; $y++) {
push @got, $path->xy_to_n (1, $y);
}
return \@got;
});
#------------------------------------------------------------------------------
# A060837 - permutation DiagonalRationals N -> FactorRationals N
MyOEIS::compare_values
(anum => 'A060837',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::DiagonalRationals;
my $columns = Math::PlanePath::DiagonalRationals->new;
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x,$y) = $columns->n_to_xy ($n);
push @got, $path->xy_to_n($x,$y);
}
return \@got;
});
#------------------------------------------------------------------------------
# A071970 - permutation Stern a[i]/[ai+1] which is Calkin-Wilf N -> power N
MyOEIS::compare_values
(anum => 'A071970',
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::RationalsTree;
my $sb = Math::PlanePath::RationalsTree->new (tree_type => 'CW');
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x,$y) = $sb->n_to_xy ($n);
push @got, $path->xy_to_n($x,$y);
}
return \@got;
});
#------------------------------------------------------------------------------
exit 0;
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