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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 => 12;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use MyOEIS;
use Math::PlanePath::R5DragonCurve;
# uncomment this to run the ### lines
#use Smart::Comments '###';
my $path = Math::PlanePath::R5DragonCurve->new;
#------------------------------------------------------------------------------
# A008776 single-visited points to N=5^k
MyOEIS::compare_values
(anum => 'A008776',
max_value => 10_0,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 0; @got < $count; $k++) {
push @got, MyOEIS::path_n_to_singles ($path, 5**$k);
}
return \@got;
});
#------------------------------------------------------------------------------
# A198859 boundary, one side only, N=0 to 25^k, even levels
foreach my $side ('right', 'left') {
MyOEIS::compare_values
(anum => 'A198859',
max_value => 50_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 0; @got < $count; $k++) {
push @got, MyOEIS::path_boundary_length($path, 25**$k,
side => $side);
}
return \@got;
});
}
# A198963 boundary, one side only, N=0 to 5*25^k, odd levels
foreach my $side ('right', 'left') {
MyOEIS::compare_values
(anum => 'A198963',
max_value => 50_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 0; @got < $count; $k++) {
push @got, MyOEIS::path_boundary_length($path, 5*25**$k,
side => $side);
}
return \@got;
});
}
# A048473 right or left side boundary for points N <= 5^k
# which is 1/2 of whole boundary
foreach my $side ('right', 'left') {
MyOEIS::compare_values
(anum => 'A048473',
max_value => 50_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 0; @got < $count; $k++) {
push @got, MyOEIS::path_boundary_length($path, 5**$k,
side => $side);
}
return \@got;
});
}
#------------------------------------------------------------------------------
# A079004 boundary length for points N <= 5^k
MyOEIS::compare_values
(anum => 'A079004',
max_value => 50_000,
func => sub {
my ($count) = @_;
my @got = (7,10);
for (my $k = 1; @got < $count; $k++) {
push @got, MyOEIS::path_boundary_length($path, 5**$k);
}
return \@got;
});
#------------------------------------------------------------------------------
# A005058 1/2 * enclosed area to N <= 5^k, first differences
# A005059 1/4 * enclosed area to N <= 5^k, first differences
MyOEIS::compare_values
(anum => 'A005059',
max_value => 50_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 0; @got < $count; $k++) {
push @got, (MyOEIS::path_enclosed_area($path, 5**($k+1))
- MyOEIS::path_enclosed_area($path, 5**$k)) / 4;
}
return \@got;
});
MyOEIS::compare_values
(anum => 'A005058',
max_value => 50_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 0; @got < $count; $k++) {
push @got, (MyOEIS::path_enclosed_area($path, 5**($k+1))
- MyOEIS::path_enclosed_area($path, 5**$k)) / 2;
}
return \@got;
});
# A007798 1/2 * enclosed area to N <= 5^k
# A016209 1/4 * enclosed area to N <= 5^k
MyOEIS::compare_values
(anum => 'A007798',
max_value => 100_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 1; @got < $count; $k++) {
push @got, MyOEIS::path_enclosed_area($path, 5**$k) / 2;
}
return \@got;
});
MyOEIS::compare_values
(anum => 'A016209',
max_value => 100_000,
func => sub {
my ($count) = @_;
my @got;
for (my $k = 2; @got < $count; $k++) {
push @got, MyOEIS::path_enclosed_area($path, 5**$k) / 4;
}
return \@got;
});
#------------------------------------------------------------------------------
# A175337 -- turn 0=left,1=right
MyOEIS::compare_values
(anum => 'A175337',
func => sub {
my ($count) = @_;
require Math::NumSeq::PlanePathTurn;
my $seq = Math::NumSeq::PlanePathTurn->new (planepath => 'R5DragonCurve',
turn_type => 'Right');
my @got;
while (@got < $count) {
my ($i,$value) = $seq->next;
push @got, $value;
}
return \@got;
});
#------------------------------------------------------------------------------
exit 0;
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