Jeffrey T. Palmer > Math-Fractal-Julia > Math::Fractal::Julia

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Module Version: 0.000003   Source  

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 ^

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.

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