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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 5.010;
use strict;
# uncomment this to run the ### lines
#use Smart::Comments;
sub make_state {
my ($rev, $rot) = @_;
$rev %= 2;
$rot %= 4;
return 10*($rot + 4*$rev);
}
sub state_string {
my ($state) = @_;
my $digit = $state % 10; $state = int($state/10);
my $rot = $state % 4; $state = int($state/4);
my $rev = $state % 2; $state = int($state/2);
return "rot=$rot rev=$rev" . ($digit ? " digit=$digit" : "");
}
my @min_digit;
my @max_digit;
my @next_state;
my @digit_to_x;
my @digit_to_y;
my @xy_to_digit;
my @unrot_digit_to_x = (0,1,1, 0,-1,-2, -2,-2,-3, -3);
my @unrot_digit_to_y = (0,0,1, 1, 1, 1, 0,-1,-1, 0);
my @segment_to_rev = (0,0,0, 1,0,0, 1,1,1, 0);
my @segment_to_dir = (0,1,2, 2,2,3, 3,2,1, 0);
foreach my $rot (0, 1, 2, 3) {
foreach my $rev (0, 1) {
my $state = make_state ($rev, $rot);
foreach my $digit (0 .. 9) {
my $xo = $unrot_digit_to_x[$rev ? 9-$digit : $digit];
my $yo = $unrot_digit_to_y[$rev ? 9-$digit : $digit];
if ($rev) { $xo += 3 }
my $new_rev = $rev ^ $segment_to_rev[$rev ? 8-$digit : $digit];
my $new_rot = $rot + $segment_to_dir[$rev ? 8-$digit : $digit];
if ($new_rev) {
$new_rot += 0;
} else {
$new_rot += 2;
}
if ($rev) {
$new_rot += 2;
} else {
$new_rot += 0;
}
if ($rot & 2) {
$xo = - $xo;
$yo = - $yo;
}
if ($rot & 1) {
($xo,$yo) = (-$yo,$xo);
}
### rot to: "$xo, $yo"
$digit_to_x[$state+$digit] = $xo;
$digit_to_y[$state+$digit] = $yo;
# $xy_to_digit[$state + 3*$xo + $yo] = $orig_digit;
my $next_state = make_state ($new_rev, $new_rot);
if ($digit == 9) { $next_state = undef; }
$next_state[$state+$digit] = $next_state;
}
}
}
use List::Util 'min','max';
sub print_table {
my ($name, $aref) = @_;
print "my \@$name = (";
my $entry_width = max (map {defined && length} @$aref);
foreach my $i (0 .. $#$aref) {
printf "%*s", $entry_width, $aref->[$i]//'undef';
if ($i == $#$aref) {
print "); # ",$i-9,"\n";
} else {
print ",";
if (($i % 10) == 9) {
print " # ".($i-9);
}
if (($i % 10) == 9) {
print "\n ".(" " x length($name));
} elsif (($i % 3) == 2) {
print " ";
}
}
}
}
print_table ("next_state", \@next_state);
print_table ("digit_to_x", \@digit_to_x);
print_table ("digit_to_y", \@digit_to_y);
# print_table ("xy_to_digit", \@xy_to_digit);
# print_table36 ("min_digit", \@min_digit);
# print_table36 ("max_digit", \@max_digit);
print "# state length ",scalar(@next_state)," in each of 4 tables\n";
print "# rot2 state ",make_state(0,2),"\n";
exit 0;
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