oglplus::images::NewtonFractal Class Reference

A generator of Newton fractal 2D images. More...

#include </home/chochlik/devel/oglplus/include/oglplus/images/newton.hpp>

Inheritance diagram for oglplus::images::NewtonFractal:

Collaboration diagram for oglplus::images::NewtonFractal:

Classes
struct	X3Minus1
	The X^3-1 function and its derivation. More...
struct	X4Minus1
	The X^4-1 function and its derivation. More...

Public Member Functions
template<typename Function = DefaultFunction, typename Mixer = DefaultMixer>
	NewtonFractal (GLsizei width, GLsizei height, Vec3f c1, Vec3f c2, Vec2f lb=Vec2f(-1.0f,-1.0f), Vec2f rt=Vec2f(1.0f, 1.0f), Function func=Function(), Mixer mixer=Mixer())
	Creates a RGB texture using c1 and c2 for colorizing of the fractal. More...
template<typename Function = DefaultFunction, typename Mixer = DefaultMixer>
	NewtonFractal (GLsizei width, GLsizei height, Function func=Function(), Mixer mixer=Mixer())
	Creates a Red texture colorized from black to red. More...
GLsizei	Dimension (std::size_t i) const
	Returns the i-th dimension of the image. More...
GLsizei	Width (void) const
	Returns the width of the image.
GLsizei	Height (void) const
	Returns the height of the image.
GLsizei	Depth (void) const
	Returns the depth of the image.
GLsizei	Channels (void) const
	Returns the number of channels.
PixelDataType	Type (void) const
	Returns the pixel data type.
PixelDataFormat	Format (void) const
	Return the pixel data format.
PixelDataInternalFormat	InternalFormat (void) const
	Return a suitable pixel data internal format.
template<typename T >
const T *	Data (void) const
	Returns a pointer to the data.
const void *	RawData (void) const
	Returns an untyped pointer to the data.
std::size_t	DataSize (void) const
	Returns the size of data in bytes.
Vector< double, 4 >	Pixel (GLsizei width, GLsizei height, GLsizei depth) const
	Returns the pixel at the specified coordinates.
double	Component (GLsizei width, GLsizei height, GLsizei depth, GLsizei component) const
	Returns the component of the pixel at the specified coordinates.
template<typename T >
T	ComponentAs (GLsizei width, GLsizei height, GLsizei depth, GLsizei component) const
	Returns the component of the pixel at the specified coordinates.

Detailed Description

A generator of Newton fractal 2D images.

This class generates two dimensional RGB images of rendering of the newton polynomial root finding numeric method of a specified function (X^3-1 by default). You can also specify two colors for the gradient used for the coloring of the fractal.

The polynomials to be used are specified by a class wrapping two static functions f and df. f is returns the value of the polynomial for a specified complex value and df returns the value of the first derivative of the polynomial for a specified complex value as shown in the following code example:

struct MyPoly
{
  static Vec2f f(Vec2f x);
  static Vec2f df(Vec2f x);
};

Constructor & Destructor Documentation

template<typename Function = DefaultFunction, typename Mixer = DefaultMixer>

oglplus::images::NewtonFractal::NewtonFractal	(	GLsizei	width,
		GLsizei	height,
		Vec3f	c1,
		Vec3f	c2,
		Vec2f	lb = Vec2f(-1.0f, -1.0f),
		Vec2f	rt = Vec2f( 1.0f,  1.0f),
		Function	func = Function(),
		Mixer	mixer = Mixer()
	)

Creates a RGB texture using c1 and c2 for colorizing of the fractal.

Parameters

width	the width of the image in pixels
height	the height of the image in pixels
c1	the "low" end (minimal number of iterations) of the gradient used for colorizing of the fractal
c2	the "high" end (maximal number of iterations) of the gradient used for colorizing of the fractal
lb	the left bottom coordinate of the viewport in the complex space to be rendered.
rt	the right top coordinate of the viewport in the complex space to be rendered.
func	the object wrapping the functions calculating the value of the polynomial and its first derivative (see the class documentation).
mixer	function controling the colorization

template<typename Function = DefaultFunction, typename Mixer = DefaultMixer>

oglplus::images::NewtonFractal::NewtonFractal	(	GLsizei	width,
		GLsizei	height,
		Function	func = Function(),
		Mixer	mixer = Mixer()
	)

Creates a Red texture colorized from black to red.

Parameters

width	the width of the image in pixels
height	the height of the image in pixels
func	the object wrapping the functions calculating the value of the polynomial and its first derivative (see the class documentation).
mixer	function controling the colorization

Member Function Documentation

GLsizei oglplus::images::Image::Dimension ( std::size_t  i ) const

inherited

Returns the i-th dimension of the image.

0: Width 1: Height 2: Depth 3: Channels

References oglplus::images::Image::Channels(), oglplus::images::Image::Depth(), oglplus::images::Image::Height(), and oglplus::images::Image::Width().

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The documentation for this class was generated from the following file:

• /home/chochlik/devel/oglplus/include/oglplus/images/newton.hpp