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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(
max_iter => $iters,
limit => $limit,
bounds => [ $x1, $x2, $y1, $y2, $width, $height ],
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 <http://en.wikipedia.org/wiki/Julia_set>
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.