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#!/usr/bin/perl -w
# Copyright 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 List::Util 'min', 'max';
# uncomment this to run the ### lines
use Smart::Comments;
use Math::PlanePath::Diagonals;
use Math::NumSeq::PlanePathDelta;
{
my $dir = 'up';
foreach my $y_start (reverse -7 .. 7) {
printf "Ystart=%2d", $y_start;
foreach my $x_start (-7 .. 7) {
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => "Diagonals,x_start=$x_start,y_start=$y_start,direction=$dir",
delta_type => 'dSumAbs');
printf " %3d", $seq->values_max;
}
print "\n";
}
print "\n";
foreach my $y_start (reverse -7 .. 7) {
printf "Ystart=%2d", $y_start;
foreach my $x_start (-7 .. 7) {
my $max = dsumabs_max($x_start,$y_start);
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => "Diagonals,x_start=$x_start,y_start=$y_start,direction=$dir",
delta_type => 'dSumAbs');
my $diff = ($seq->values_max == $max ? ' ' : '*');
printf "%3d%s", $max, $diff;
}
print "\n";
}
print "\n";
foreach my $y_start (reverse -7 .. 7) {
printf "Ystart=%2d", $y_start;
foreach my $x_start (-7 .. 7) {
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => "Diagonals,x_start=$x_start,y_start=$y_start,direction=$dir",
delta_type => 'dSumAbs');
printf " %3d", $seq->values_min;
}
print "\n";
}
print "\n";
foreach my $y_start (reverse -7 .. 7) {
printf "Ystart=%2d ", $y_start;
foreach my $x_start (-7 .. 7) {
my $min = dsumabs_min($x_start,$y_start);
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => "Diagonals,x_start=$x_start,y_start=$y_start,direction=$dir",
delta_type => 'dSumAbs');
my $diff = ($seq->values_min == $min ? ' ' : '*');
printf "%3d%s", $min, $diff;
}
print "\n";
}
print "\n";
exit 0;
sub dsumabs_min {
my ($x_start, $y_start) = @_;
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => "Diagonals,x_start=$x_start,y_start=$y_start,direction=$dir",
delta_type => 'dSumAbs');
my $i_start = $seq->i_start;
my $min = $seq->ith($i_start);
foreach my $i ($i_start .. 500) {
$min = min($min, $seq->ith($i));
}
return $min;
}
sub dsumabs_max {
my ($x_start, $y_start) = @_;
my $seq = Math::NumSeq::PlanePathDelta->new
(planepath => "Diagonals,x_start=$x_start,y_start=$y_start,direction=$dir",
delta_type => 'dSumAbs');
my $i_start = $seq->i_start;
my $max = $seq->ith($i_start);
foreach my $i ($i_start .. 500) {
$max = max($max, $seq->ith($i));
}
return $max;
}
}
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