A four-dimensional version of the Sierpinski Gasket. More...

#include <ObjectImplementations.h>

Inheritance diagram for Gasket:

Collaboration diagram for Gasket:

Public Member Functions
	Gasket (unsigned level=1, double rad=1, VecMath::Vector< 4 > Center=VecMath::Vector< 4 >(0., 0., 0., 0.))
	Create a gasket with a level, size and center.
virtual std::string	getFunctionName () const
virtual void	Transform (const VecMath::Rotation< 4 > &R, const VecMath::Vector< 4 > &T, const VecMath::Vector< 4 > &scale)
	Transforms a Gasket.
virtual void	Project (double ScrW, double CamW, bool DepthCue4D)
	projects a Gasket into three-space
virtual void	Draw (UI::View *view)
	draw the projected Gasket (onto screen or into GL list, as it is)
virtual void	SetParameters (const ParameterMap &parms)
	Set parameters to the Displayable.
virtual void	ReInit (double, double, double, double, double, double, double, double, double)
Protected Member Functions
virtual void	Initialize ()
	This function actually creates the Sierpinski Gasket.
virtual unsigned long	MemRequired (void)
	return the approximate amount of memory needed to display a gasket of current level
Protected Attributes
unsigned	Level
	Recursion depth creating the gasket.
std::vector< Pyramid * >	List
	List of sub-gaskets.
double	rad
	Scale of the gasket.
VecMath::Vector< 4 >	center
	location

Detailed Description

A four-dimensional version of the Sierpinski Gasket.

This object is similar to the Menger Sponge, but it uses a Hypersimplex as generator.

It lacks the distance parameter, because there is only one way to generate a Sierpinski Gasket of level n. Otherwise it is analogous to the Menger Sponge fractal.

Constructor & Destructor Documentation

Gasket::Gasket	(	unsigned	level = `1`,
		double	_rad = `1`,
		VecMath::Vector< 4 >	_center = `VecMath::Vector<4> (0., 0.,0., 0.)`
	)

Create a gasket with a level, size and center.

Gasket constructor.

Parameters:

level	hyper-sierpinski gasket level
_rad	side_length/2
_center	center

References Displayable::declareParameter(), and Initialize().

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Member Function Documentation

void Gasket::Draw ( UI::View * view ) [virtual]

draw the projected Gasket (onto screen or into GL list, as it is)

Reimplemented from Object.

References UI::View::commitDraw(), List, and std::vector< _Tp, _Alloc >::size().

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virtual std::string Gasket::getFunctionName ( ) const [inline, virtual]

Returns:: The name of the Displayable in cleartext

Reimplemented from Pyramid.

void Gasket::Initialize ( void ) [protected, virtual]

This function actually creates the Sierpinski Gasket.

See also:: Sponge::Initialize()

Reimplemented from Pyramid.

References center, cerr, endl(), Loki::SingletonHolder< T, CreationPolicy >::Instance(), Level, List, MemRequired(), std::vector< _Tp, _Alloc >::push_back(), rad, and sqrt().

Referenced by Gasket().

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unsigned long Gasket::MemRequired ( void ) [protected, virtual]

return the approximate amount of memory needed to display a gasket of current level

Todo:: uses hardcoded and experimentally found value for memory per simplex

Returns:: approx. mem required

Reimplemented from Displayable.

References Level, and pow().

Referenced by Initialize().

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void Gasket::Project	(	double	scr_w,
		double	cam_w,
		bool	depthcue4d
	)		`[virtual]`

projects a Gasket into three-space

Parameters:

scr_w	w coordinate of screen
cam_w	w coordinate of camera
depthcue4d	wheter to use hyperfog/dc

Reimplemented from VertexHolder< 4, 1, double >.

References List, and std::vector< _Tp, _Alloc >::size().

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virtual void Gasket::ReInit	(	double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double	,
		double
	)		`[inline, virtual]`

Reinitialize an Object. This function is called when the initialization is done outside the constructor.

Currently it does not differ from Initialize(). In fact, it simply calls Initialize().

Reimplemented from Object.

References std::vector< _Tp, _Alloc >::clear(), and List.

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virtual void Gasket::SetParameters ( const ParameterMap & ) [inline, virtual]

Set parameters to the Displayable.

Todo:: This function is only there to provide an interface, and it's not abstract so that Displayable s which don't have Parameters don't need to reimplement an unneeded method. But the present implementation does not make sense.

Reimplemented from Pyramid.

References std::map< _Key, _Tp, _Compare, _Alloc >::begin(), std::map< _Key, _Tp, _Compare, _Alloc >::end(), Level, rad, and Displayable::setParameter().

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