NAME Math::Fractal::Julia - Calculate points in the Julia set VERSION version 0.000003 SYNOPSIS use Math::Fractal::Julia; # Procedural usage: Math::Fractal::Julia->set_max_iter($iters); Math::Fractal::Julia->set_limit($limit); Math::Fractal::Julia->set_bounds( $x1, $y1, $x2, $y2, $w, $h ); Math::Fractal::Julia->set_constant( $cx, $cy ); for my $y ( 0 .. $h - 1 ) { for my $x ( 0 .. $w - 1 ) { my $iter = Math::Fractal::Julia->point( $x, $y ); } } # Object Oriented usage: my $julia = Math::Fractal::Julia->new(%options); $julia->set_max_iter($iters); $julia->set_limit($limit); $julia->set_bounds( $x1, $y1, $x2, $y2, $w, $h ); $julia->set_constant( $cx, $cy ); for my $y ( 0 .. $h - 1 ) { for my $x ( 0 .. $w - 1 ) { my $iter = $julia->point( $x, $y ); } } DESCRIPTION Calculates points in the set named after the French mathematician Gaston Julia. The procedural interface is based on that provided by Math::Fractal::Mandelbrot. METHODS new Arguments: %options? Return value: A Math::Fractal::Julia object Creates a new Math::Fractal::Object. If no options are provided, the default values will be used. options The "options" hash may contain any or all of the following: max_iter => $iters limit => $limit bounds => [ $x1, $x2, $y1, $y2, $width, $height ] constant => [ $cx, $cy ] The default maximum number of iterations is 600. The default limit is 5. The default bounds is [-2.2, -1.1, 1.0, 1.1, 640, 480]. The default constant is [0.0, 0.0]. my $julia = Math::Fractal::Julia->new(); my $julia = Math::Fractal::Julia->new(%options); my $julia = Math::Fractal::Julia->new( max_iter => $iters, limit => $limit, bounds => [ $x1, $x2, $y1, $y2, $width, $height ], constant => [ $cx, $cy ], ); set_max_iter Arguments: $max Return value: undefined Set the maximum number of iterations. The default value is 600. Math::Fractal::Julia->set_max_iter($max); $julia->set_max_iter($max); set_limit Arguments: $limit Return value: undefined The default value is 5. Math::Fractal::Julia->set_limit($limit); $julia->set_limit($limit); set_bounds Arguments: $x1, $y1, $x2, $y2, $width, $height Return value: undefined Set the bounds of the set. The first four values ($x1, $y1, $x2, $y2) define a rectangle. The remaining two ($width, $height) define a viewport. The default values are (-2.2, -1.1, 1.0, 1.1, 640, 480). Math::Fractal::Julia->set_bounds( $x1, $y1, $x2, $y2, $width, $height ); $julia->set_bounds( $x1, $x2, $y1, $y2, $width, $height ); set_constant Arguments: $cx, $cy Return value: undefined The default values are (0.0, 0.0). Math::Fractal::Julia->set_constant( $cx, $cy ); $julia->set_constant( $cx, $cy ); point Arguments: $x, $y Return value: The number of iterations needed to exceed the limit or 0 if the the limit is not exceeded. This function translates the coordinates using the bounds and then iterates. $iters = Math::Fractal::Julia->point( $x, $y ); $iters = $julia->point( $x, $y ); CAVEATS * This module is not thread-safe. * Any packages derived from "Math::Fractal::Julia" will share the same internal state when the procedural interface is used. SEE ALSO * Math::Fractal::Mandelbrot * Julia set AUTHOR Jeffrey T. Palmer COPYRIGHT AND LICENSE This software is copyright (c) 2012 by Jeffrey T. Palmer. This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.