/ 
Math-Fractal-Julia-0.000003
River stage zero No dependents
/ Math::Fractal::Julia

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

AUTHOR

Jeffrey T. Palmer <jtpalmer@cpan.org>

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.