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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 => 14;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use MyOEIS;
use Math::PlanePath::SierpinskiCurve;
use Math::NumSeq::PlanePathDelta;
use Math::NumSeq::PlanePathTurn;
# uncomment this to run the ### lines
#use Smart::Comments '###';
#------------------------------------------------------------------------------
# A081026 -- X at N=2^k
require Math::NumSeq::PlanePathN;
my $bigclass = Math::NumSeq::PlanePathN::_bigint();
MyOEIS::compare_values
(anum => 'A081026',
func => sub {
my ($count) = @_;
my $path = Math::PlanePath::SierpinskiCurve->new;
my @got = (1);
for (my $n = $bigclass->new(1); @got < $count; $n *= 2) {
my ($x,$y) = $path->n_to_xy($n);
push @got, $x;
}
return \@got;
});
#------------------------------------------------------------------------------
# A081706 - N-1 positions of left turns
MyOEIS::compare_values
(anum => 'A081706',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::PlanePathTurn->new
(planepath => 'SierpinskiCurve',
turn_type => 'Left');
my @got;
for (my $n = $seq->i_start; @got < $count; $n++) {
my ($i,$value) = $seq->next;
if ($value) { # if a left turn
push @got, $i-1;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A039963 - turn 1=right,0=left
# R,R L,L R,R
MyOEIS::compare_values
(anum => 'A039963',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::PlanePathTurn->new
(planepath => 'SierpinskiCurve',
turn_type => 'Right');
my @got;
for (my $n = $seq->i_start; @got < $count; $n++) {
push @got, $seq->ith($n);
}
return \@got;
});
#------------------------------------------------------------------------------
# A127254 - abs(dY) extra initial 1
MyOEIS::compare_values
(anum => 'A127254',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => 'SierpinskiCurve',
delta_type => 'AbsdY');
my @got = (1);
while (@got < $count) {
my ($i,$value) = $seq->next;
push @got, $value;
}
return \@got;
});
#------------------------------------------------------------------------------
exit 0;
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