CHyperbolicity< _DIM, T > Class Template Reference

Class responsible for checking Hiperbolicity for a given set. More...

#include <hyperbolic.h>

List of all members.

Public Member Functions
	CHyperbolicity (CRepresent< _DIM, T > *r, CApproximateBases< _DIM, T > *b)
	Class constructor.
virtual bool	check (const FUNCTION< _DIM, _DIM, T > &f, const DERIVATIVE< _DIM, T > &Df, const Coords< _DIM, interval< T > > &p, int scale) const =0
	Main virtual function to check if the invariant set is hyperbolic.
Public Attributes
Coords< _DIM, T >	sides
	Rescaling coordinates parameter.
Protected Attributes
CRepresent< _DIM, T > *	represent
	Interface responsible for constructing invariant set and cubic representation of a function.
CApproximateBases< _DIM, T > *	bases
	Interface responsible for approximating semi-hyperbolic bases for each cube.

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Detailed Description

template<int _DIM, class T>
class CHyperbolicity< _DIM, T >

Class responsible for checking Hiperbolicity for a given set.

Object oriented class with pointers to Interfaces CRepresent<_DIM, T> and CApproximateBases<_DIM, T>.

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Constructor & Destructor Documentation

template<int _DIM, class T>

CHyperbolicity< _DIM, T >::CHyperbolicity	(	CRepresent< _DIM, T > *	r,
		CApproximateBases< _DIM, T > *	b
	)			[inline]

Class constructor.

Sets the sides parameter to (1,1,...,1).

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Member Function Documentation

template<int _DIM, class T>

virtual bool CHyperbolicity< _DIM, T >::check	(	const FUNCTION< _DIM, _DIM, T > &	f,
		const DERIVATIVE< _DIM, T > &	Df,
		const Coords< _DIM, interval< T > > &	p,
		int	scale
	)			const [pure virtual]

Main virtual function to check if the invariant set is hyperbolic.

Parameters:

	f	FUNCTION<_DIM, _DIM, T> which represents the function for which the invariant set is tested to be hyperbolic.
	Df	DERIVATIVE<_DIM, T> which represents the derivative of the function for which the invariant set is tested to be hyperbolic.
	p	Coords<_DIM, interval<T> > is the set, where the invariant set is looked for.
	scale	determines how many divisions step to perform during the cubical representation.

Returns:

boolean value describing if the invariant representation was prooven as hyperbolic.

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Member Data Documentation

template<int _DIM, class T>

CRepresent<_DIM, T>* CHyperbolicity< _DIM, T >::represent [protected]

Interface responsible for constructing invariant set and cubic representation of a function.

template<int _DIM, class T>

CApproximateBases<_DIM, T>* CHyperbolicity< _DIM, T >::bases [protected]

Interface responsible for approximating semi-hyperbolic bases for each cube.

template<int _DIM, class T>

Coords<_DIM, T> CHyperbolicity< _DIM, T >::sides

Rescaling coordinates parameter.

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

• hyperbolic.h