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# Copyright 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021 Kevin Ryde |
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# This file is part of Math-PlanePath. |
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# |
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# Math-PlanePath is free software; you can redistribute it and/or modify it |
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# under the terms of the GNU General Public License as published by the Free |
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# Software Foundation; either version 3, or (at your option) any later |
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# version. |
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# |
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# Math-PlanePath is distributed in the hope that it will be useful, but |
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# WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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# for more details. |
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# |
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# You should have received a copy of the GNU General Public License along |
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# with Math-PlanePath. If not, see . |
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package Math::PlanePath::Base::Generic; |
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21485
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use 5.004; |
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use strict; |
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use vars '$VERSION','@ISA','@EXPORT_OK'; |
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$VERSION = 129; |
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use Exporter; |
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19755
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@ISA = ('Exporter'); |
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@EXPORT_OK = ('round_nearest', |
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# not documented yet |
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'is_infinite', |
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'floor', |
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'xy_is_even', |
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'xy_is_visited_quad1', |
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); |
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# uncomment this to run the ### lines |
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# use Smart::Comments; |
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# with a view to being friendly to BigRat/BigFloat |
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sub round_nearest { |
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1269633
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1858088
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my ($x) = @_; |
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### round_nearest(): "$x", $x |
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# BigRat through to perl 5.12.4 has some dodginess giving a bigint -0 |
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# which is considered !=0. Adding +0 to numify seems to avoid the problem. |
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1269633
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1736805
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my $int = int($x) + 0; |
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1269633
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2862215
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if ($x == $int) { |
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### is an integer: "$int", $int |
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1269491
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return $x; |
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} |
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$x -= $int; |
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### int: "$int" |
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### frac: "$x" |
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if ($x >= .5) { |
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### round up ... |
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return $int + 1; |
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} |
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if ($x < -.5) { |
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### round down ... |
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return $int - 1; |
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} |
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### within +/- .5 ... |
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return $int; |
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} |
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use constant parameter_info_nstart0 => { name => 'n_start', |
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share_key => 'n_start_0', |
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display => 'N Start', |
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type => 'integer', |
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default => 0, |
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width => 3, |
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description => 'Starting N.', |
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}; |
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use constant parameter_info_nstart1 => { name => 'n_start', |
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share_key => 'n_start_1', |
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display => 'N Start', |
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type => 'integer', |
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default => 1, |
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width => 3, |
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description => 'Starting N.', |
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}; |
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#------------------------------------------------------------------------------ |
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# these not documented ... |
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sub is_infinite { |
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my ($x) = @_; |
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2916239
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return ($x != $x # nan |
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|| ($x != 0 && $x == 2*$x)); # inf |
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} |
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# With a view to being friendly to BigRat/BigFloat. |
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# |
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# For reference, POSIX::floor() in perl 5.12.4 is a bit bizarre on UV=64bit |
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# and NV=53bit double. UV=2^64-1 rounds up to NV=2^64 which floor() then |
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# returns, so floor() in fact increases the value of what was an integer |
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# already. |
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# |
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# not documented yet |
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sub floor { |
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119810
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119810
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193542
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my ($x) = @_; |
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### floor(): "$x", $x |
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119810
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171388
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my $int = int($x); |
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119810
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if ($x == $int) { |
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### is an integer ... |
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19691
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return $x; |
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} |
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$x -= $int; |
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### frac: "$x" |
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if ($x >= 0) { |
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### frac is non-negative ... |
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return $int; |
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} else { |
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### frac is negative ... |
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return $int-1; |
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} |
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} |
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# not documented yet |
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sub xy_is_visited_quad1 { # or maybe base class with class_x_negative too |
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my ($self, $x, $y) = @_; |
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return ! (2*$x < -1 || 2*$y < -1); |
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} |
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# not documented yet |
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sub xy_is_visited_quad12 { |
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my ($self, $x, $y) = @_; |
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return (2*$y >= -1); |
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} |
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# not documented yet |
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sub _xy_is_visited_x_positive { |
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my ($self, $x, $y) = @_; |
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return (2*$x >= -1); |
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} |
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# not documented yet |
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sub xy_is_even { |
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my ($self, $x, $y) = @_; |
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return (round_nearest($x)%2 == round_nearest($y)%2); |
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} |
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1; |
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__END__ |