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#!/usr/bin/perl -w
# Copyright 2011, 2012 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 strict;
use Math::PlanePath::CellularRule;
# uncomment this to run the ### lines
use Smart::Comments;
{
# A169707 rule 750
my %grid;
my $width = 40;
my $height = 40;
$grid{0,0} = 1;
foreach my $level (0 .. 40) {
print "level $level\n";
foreach my $y (reverse -$height .. $height) {
foreach my $x (-$width .. $width) {
print $grid{$x,$y} // ' ';
}
print "\n";
}
my %new_grid = %grid;
my $count_new = 0;
foreach my $y (-$height .. $height) {
foreach my $x (-$width .. $width) {
my $count = (($grid{$x-1,$y} || 0)
+ ($grid{$x+1,$y} || 0)
+ ($grid{$x,$y-1} || 0)
+ ($grid{$x,$y+1} || 0));
# print "$level $x,$y count=$count\n";
if ($count == 1 || $count == 3) {
$new_grid{$x,$y} = 1;
$count_new++;
}
}
}
print "count new $count_new\n";
%grid = %new_grid;
}
exit 0;
}
{
# compare path against Cellular::Automata::Wolfram values
require Cellular::Automata::Wolfram;
my $width = 50;
my $x_offset = int($width/2)-1;
my $num_of_gens = $x_offset - 1;
RULE: foreach my $rule (0 .. 255) {
my $path = Math::PlanePath::CellularRule->new(rule=>$rule);
my $auto = Cellular::Automata::Wolfram->new
(rule=>$rule, width=>$width, num_of_gens=>$num_of_gens);
my $gens = $auto->{'gens'};
foreach my $y (0 .. $#$gens) {
my $auto_str = $gens->[$y];
my $path_str = '';
foreach my $i (0 .. length($auto_str)-1) {
my $x = $i - $x_offset;
$path_str .= ($x < -$y || $x > $y ? substr($auto_str,$i,1)
: $path->xy_is_visited($x,$y) ? '1' : '0');
}
if ($auto_str ne $path_str) {
print "$rule y=$y\n";
print "auto $auto_str\n";
print "path $path_str\n";
print "\n";
next RULE;
}
}
}
exit 0;
}
{
my $rule = 124;
my $path = Math::PlanePath::CellularRule->new(rule=>$rule);
my @ys = (5..20);
@ys = map{$_*2+1} @ys;
my @ns = map{$path->xy_to_n(-$_,$_)
}@ys;
my @diffs = map {$ns[$_]-$ns[$_-1]} 1 .. $#ns;
print "[",join(',',@diffs),"]\n";
my @dds = map {$diffs[$_]-$diffs[$_-1]} 1 .. $#diffs;
print "[",join(',',@dds),"]\n";
exit 0;
}
{
my $rule = 57;
my $path = Math::PlanePath::CellularRule->new(rule=>$rule);
my @ys = (5..20);
@ys = map{$_*2+1} @ys;
my @ns = map{$path->xy_to_n(-$_,$_)
}@ys;
my @diffs = map {$ns[$_]-$ns[$_-1]} 1 .. $#ns;
print "[",join(',',@diffs),"]\n";
my @dds = map {$diffs[$_]-$diffs[$_-1]} 1 .. $#diffs;
print "[",join(',',@dds),"]\n";
exit 0;
}
{
my $rule = 57;
my $path = Math::PlanePath::CellularRule->new(rule=>$rule);
my @ys = (5..10);
@ys = map{$_*2+1} @ys;
print "[",join(',',@ys),"]\n";
print "[",join(',',map{$path->xy_to_n(-$_,$_)
}@ys),"]\n";
exit 0;
}
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