capd::dynsys::FadMap< Scalar, D > Class Template Reference

#include <capd/dynsys/FadMap.h>

Public Types
typedef Scalar	ScalarType
typedef capd::vectalg::Matrix< ScalarType, D, D >	MatrixType
typedef capd::vectalg::Vector< ScalarType, D >	VectorType
typedef FadFunction< VectorType >	FunctionType
typedef capd::diffAlgebra::Hessian< ScalarType, VectorType::csDim, VectorType::csDim >	HessianType

Public Member Functions
virtual	~FadMap ()
template<class TimeT , typename AVector >
AVector	operator() (const TimeT &, const AVector &) const
template<typename AVector >
AVector	operator() (const AVector &) const
	For backward compatibility. It computes derivative of the vector field for an autonomous vector field. You can implement it as follow. More...
virtual MatrixType	derivative (const ScalarType &, const VectorType &) const =0
	This operator should compute derivative of the vector field. One can specify own implementation or use in the implementation a template function computeDerivative from file differentiate.h (as in the example of the Lorenz system below) which performs FAD to compute derivative of a map. More...
virtual VectorType	operator() (ScalarType, const VectorType &, MatrixType &) const =0
	computes simultaneously value and derivative of the map for a given vector and time More...
virtual MatrixType	operator[] (const VectorType &) const =0
	For backward compatibility. It computes derivative of the vector field for an autonomous vector field. More...
template<typename Description >
void	setParameter (Description, Scalar)
	This function should set parameter value of the vector field as a Description we may use integers or strings, etc. More...
unsigned	dimension ()
	You must implement this method. It must return the dimension of the phase space. More...
unsigned	degree ()
	Maximal order of spacial derivatives that this map can compute. More...

Member Typedef Documentation

FunctionType

template<typename Scalar , unsigned D>

typedef FadFunction<VectorType> capd::dynsys::FadMap< Scalar, D >::FunctionType

HessianType

template<typename Scalar , unsigned D>

typedef capd::diffAlgebra::Hessian<ScalarType,VectorType::csDim,VectorType::csDim> capd::dynsys::FadMap< Scalar, D >::HessianType

MatrixType

template<typename Scalar , unsigned D>

typedef capd::vectalg::Matrix<ScalarType,D,D> capd::dynsys::FadMap< Scalar, D >::MatrixType

ScalarType

template<typename Scalar , unsigned D>

typedef Scalar capd::dynsys::FadMap< Scalar, D >::ScalarType

VectorType

template<typename Scalar , unsigned D>

typedef capd::vectalg::Vector<ScalarType,D> capd::dynsys::FadMap< Scalar, D >::VectorType

Constructor & Destructor Documentation

~FadMap()

template<typename Scalar , unsigned D>

virtual capd::dynsys::FadMap< Scalar, D >::~FadMap ( )

inlinevirtual

Member Function Documentation

degree()

template<typename Scalar , unsigned D>

unsigned capd::dynsys::FadMap< Scalar, D >::degree ( )

inline

Maximal order of spacial derivatives that this map can compute.

derivative()

template<typename Scalar , unsigned D>

virtual MatrixType capd::dynsys::FadMap< Scalar, D >::derivative ( const ScalarType &  , const VectorType &    ) const

pure virtual

This operator should compute derivative of the vector field. One can specify own implementation or use in the implementation a template function computeDerivative from file differentiate.h (as in the example of the Lorenz system below) which performs FAD to compute derivative of a map.

Implemented in capd::dynsys::LorenzFadMap< Scalar, D >.

dimension()

template<typename Scalar , unsigned D>

unsigned capd::dynsys::FadMap< Scalar, D >::dimension ( )

inline

You must implement this method. It must return the dimension of the phase space.

operator()() [1/3]

template<typename Scalar , unsigned D>

template<typename AVector >

AVector capd::dynsys::FadMap< Scalar, D >::operator()

(

const AVector &

)

const

For backward compatibility. It computes derivative of the vector field for an autonomous vector field. You can implement it as follow.

operator()() [2/3]

template<typename Scalar , unsigned D>

template<class TimeT , typename AVector >

AVector capd::dynsys::FadMap< Scalar, D >::operator()	(	const TimeT &	,
		const AVector &
	)		const

operator()() [3/3]

template<typename Scalar , unsigned D>

virtual VectorType capd::dynsys::FadMap< Scalar, D >::operator() ( ScalarType  , const VectorType &  , MatrixType &    ) const

pure virtual

computes simultaneously value and derivative of the map for a given vector and time

Implemented in capd::dynsys::LorenzFadMap< Scalar, D >.

operator[]()

template<typename Scalar , unsigned D>

virtual MatrixType capd::dynsys::FadMap< Scalar, D >::operator[] ( const VectorType &  ) const

pure virtual

For backward compatibility. It computes derivative of the vector field for an autonomous vector field.

Implemented in capd::dynsys::LorenzFadMap< Scalar, D >.

setParameter()

template<typename Scalar , unsigned D>

template<typename Description >

void capd::dynsys::FadMap< Scalar, D >::setParameter ( Description  , Scalar    )

inline

This function should set parameter value of the vector field as a Description we may use integers or strings, etc.