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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 List::Util 'max';
# uncomment this to run the ### lines
#use Smart::Comments;
sub print_table {
my ($name, $aref) = @_;
print "my \@$name = (";
my $entry_width = max (map {length} @$aref);
foreach my $i (0 .. $#$aref) {
printf "%d", $aref->[$i];
if ($i == $#$aref) {
print ");\n";
} else {
print ",";
if (($i % 16) == 15) {
print "\n ".(" " x length($name));
} elsif (($i % 4) == 3) {
print " ";
}
}
}
}
sub print_table12 {
my ($name, $aref) = @_;
print "my \@$name = (";
my $entry_width = max (map {length($_//'')} @$aref);
foreach my $i (0 .. $#$aref) {
printf "%*s", $entry_width, $aref->[$i]//'undef';
if ($i == $#$aref) {
print ");\n";
} else {
print ",";
if (($i % 12) == 11) {
print "\n ".(" " x length($name));
} elsif (($i % 4) == 3) {
print " ";
}
}
}
}
sub make_state {
my ($rot, $transpose) = @_;
$transpose %= 2;
$rot %= 2;
return 4*($transpose + 2*$rot);
}
my @next_state;
my @digit_to_x;
my @digit_to_y;
my @yx_to_digit;
my @min_digit;
my @max_digit;
foreach my $rot (0, 1) {
foreach my $transpose (0, 1) {
my $state = make_state ($rot, $transpose);
# range 0 [X,_]
# range 1 [X,X]
# range 2 [_,X]
foreach my $xrange (0,1,2) {
foreach my $yrange (0,1,2) {
my $xr = $xrange;
my $yr = $yrange;
my $bits = $xr + 3*$yr; # before rot+transpose
if ($rot) {
$xr = 2-$xr;
$yr = 2-$yr;
}
if ($transpose) {
($xr,$yr) = ($yr,$xr);
}
my ($min_digit, $max_digit);
# 3--2
# |
# 0--1
if ($xr == 0) {
# 0 or 3
if ($yr == 0) {
# x,y both low, 0 only
$min_digit = 0;
$max_digit = 0;
} elsif ($yr == 1) {
# y either, 0 or 3
$min_digit = 0;
$max_digit = 3;
} elsif ($yr == 2) {
# y high, 3 only
$min_digit = 3;
$max_digit = 3;
}
} elsif ($xr == 1) {
# x either, any 0,1,2,3
if ($yr == 0) {
# y low, 0 or 1
$min_digit = 0;
$max_digit = 1;
} elsif ($yr == 1) {
# y either, 0,1,2,3
$min_digit = 0;
$max_digit = 3;
} elsif ($yr == 2) {
# y high, 2,3 only
$min_digit = 2;
$max_digit = 3;
}
} else {
# x high, 1 or 2
if ($yr == 0) {
# y low, 1 only
$min_digit = 1;
$max_digit = 1;
} elsif ($yr == 1) {
# y either, 1 or 2
$min_digit = 1;
$max_digit = 2;
} elsif ($yr == 2) {
# y high, 2 only
$min_digit = 2;
$max_digit = 2;
}
}
### range store: $state+$bits
my $key = 3*$state + $bits;
if (defined $min_digit[$key]) {
die "oops min_digit[] already: state=$state bits=$bits value=$min_digit[$state+$bits], new=$min_digit";
}
$min_digit[$key] = $min_digit;
$max_digit[$key] = $max_digit;
}
}
### @min_digit
foreach my $orig_digit (0, 1, 2, 3) {
my $digit = $orig_digit;
my $xo = 0;
my $yo = 0;
my $new_transpose = $transpose;
my $new_rot = $rot;
# 3--2
# |
# 0--1
if ($digit == 0) {
$new_transpose ^= 1;
} elsif ($digit == 1) {
$xo = 1;
} elsif ($digit == 2) {
$xo = 1;
$yo = 1;
} elsif ($digit == 3) {
$yo = 1;
$new_transpose ^= 1;
$new_rot ^= 1;
}
### base: "$xo, $yo"
if ($transpose) {
($xo,$yo) = ($yo,$xo);
}
### transp to: "$xo, $yo"
if ($rot) {
$xo ^= 1;
$yo ^= 1;
}
### rot to: "$xo, $yo"
$digit_to_x[$state+$orig_digit] = $xo;
$digit_to_y[$state+$orig_digit] = $yo;
$yx_to_digit[$state + 2*$yo + $xo] = $orig_digit;
my $next_state = make_state ($new_rot, $new_transpose);
$next_state[$state+$orig_digit] = $next_state;
}
}
}
### @next_state
### @digit_to_x
### @digit_to_y
### next_state length: 4*(4*2*2 + 4*2)
### next_state length: scalar(@next_state)
print_table ("next_state", \@next_state);
print_table ("digit_to_x", \@digit_to_x);
print_table ("digit_to_y", \@digit_to_y);
print_table ("yx_to_digit", \@yx_to_digit);
print_table12 ("min_digit", \@min_digit);
print_table12 ("max_digit", \@max_digit);
my $invert_state = make_state (1, # rot
1); # transpose
### $invert_state
print "\n";
exit 0;
__END__
my $x_cmp = $x_max + $len;
my $y_cmp = $y_max + $len;
my $digit = $min_digit[4*$min_state + ($x1 >= $x_cmp) + 2*($x2 >= $x_cmp)
+ ($y1 >= $y_cmp) + 2*($y2 >= $y_cmp)];
$min_state += $digit;
$n_lo += $digit * $power;
if ($digit_to_x[$min_state]) { $x_min += $len; }
if ($digit_to_y[$min_state]) { $x_min += $len; }
$min_state = $next_state[$min_state + $min_digit];
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