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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 5.004;
use strict;
use Math::PlanePath::SierpinskiArrowhead;
# uncomment this to run the ### lines
use Smart::Comments;
{
# turn sequence
require Math::NumSeq::PlanePathTurn;
require Math::BaseCnv;
my $seq = Math::NumSeq::PlanePathTurn->new
(planepath => 'SierpinskiArrowhead',
turn_type => 'Left');
foreach (1 .. 400) {
my ($i, $value) = $seq->next;
my $i3 = Math::BaseCnv::cnv($i,10,3);
my $calc = calc_turnleft($i);
print "$i $i3 $value $calc\n";
}
sub calc_turnleft { # not working
my ($n) = @_;
my $ret = 1;
my $flip = 0;
while ($n && ($n % 9) == 0) {
$n = int($n/9);
}
if ($n) {
my $digit = $n % 9;
my $flip = ($digit == 0
|| $digit == 1 # 01
# || $digit == 3 # 10
|| $digit == 5 # 12
|| $digit == 6 # 20
|| $digit == 7 # 21
);
$ret ^= $flip;
$n = int($n/9);
}
while ($n) {
my $digit = $n % 9;
my $flip = ($digit == 1 # 01
|| $digit == 3 # 10
|| $digit == 5 # 12
|| $digit == 7 # 21
);
$ret ^= $flip;
$n = int($n/9);
}
return $ret;
}
sub WORKING__calc_turnleft { # works
my ($n) = @_;
my $ret = 1;
while ($n && ($n % 3) == 0) {
$ret ^= 1; # flip for trailing 0s
$n = int($n/3);
}
$n = int($n/3);
while ($n) {
if (($n % 3) == 1) { # flip for all 1s
$ret ^= 1;
}
$n = int($n/3);
}
return $ret;
}
sub count_digits {
my ($n) = @_;
my $count = 0;
while ($n) {
$count++;
$n = int($n/3);
}
return $count;
}
sub count_1_digits {
my ($n) = @_;
my $count = 0;
while ($n) {
$count += (($n % 3) == 1);
$n = int($n/3);
}
return $count;
}
exit 0;
}
{
# direction sequence
require Math::NumSeq::PlanePathDelta;
require Math::BaseCnv;
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => 'SierpinskiArrowhead',
delta_type => 'TDir6');
foreach (1 .. 3**4+1) {
my ($i, $value) = $seq->next;
# $value %= 6;
my $i3 = Math::BaseCnv::cnv($i,10,3);
my $calc = calc_dir6($i);
print "$i $i3 $value $calc\n";
}
sub calc_dir6 { # works
my ($n) = @_;
my $dir = 1;
while ($n) {
if (($n % 9) == 0) {
} elsif (($n % 9) == 1) {
$dir = 3 - $dir;
} elsif (($n % 9) == 2) {
$dir = $dir + 2;
} elsif (($n % 9) == 3) {
$dir = 3 - $dir;
} elsif (($n % 9) == 4) {
} elsif (($n % 9) == 5) {
$dir = 1 - $dir;
} elsif (($n % 9) == 6) {
$dir = $dir - 2;
} elsif (($n % 9) == 7) {
$dir = 1 - $dir;
} elsif (($n % 9) == 8) {
}
$n = int($n/9);
}
return $dir % 6;
}
sub Xcalc_dir6 { # works
my ($n) = @_;
my $dir = 1;
while ($n) {
if (($n % 3) == 0) {
}
if (($n % 3) == 1) {
# mirror
$dir = 3 - $dir;
}
if (($n % 3) == 2) {
$dir = $dir + 2;
}
$n = int($n/3);
if (($n % 3) == 0) {
}
if (($n % 3) == 1) {
# mirror
$dir = 3 - $dir;
}
if (($n % 3) == 2) {
$dir = $dir - 2;
}
$n = int($n/3);
}
return $dir % 6;
}
exit 0;
}
|
