Common interface of all sets that store Cn information (set position and derivatives to order n) More...

#include <capd/dynset/CnSet.h>

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ScalarType	ScalarType

typedef MatrixType::RefColumnVectorType	RefVectorType

typedef MatrixType::size_type	size_type

typedef capd::vectalg::Multipointer	Multipointer

typedef capd::vectalg::Multiindex	Multiindex

typedef capd::diffAlgebra::Jet< MatrixType, DEGREE >	JetType

typedef CnSet	SetType

Public Member Functions
	CnSet (const VectorType &x, size_type degree, ScalarType t)

	CnSet (const JetType &x, ScalarType t)

size_type	degree () const
	returns maximal order of partial derivative stored in the jet More...

size_type	dimension () const
	returns number of variables in the jet More...

ScalarType	maxDiam () const
	returns actual maximal diameter of the current set More...

const JetType &	currentSet () const
	returns actual set as a read-only jet. More...

JetType &	currentSet ()
	returns actual set as a jet More...

RefVectorType	getLastEnclosure () const
	returns an enclosure for trajectories for last performed step of integration. On initialization is equal to the current set. More...

MatrixType	getLastMatrixEnclosure () const
	returns an enclosure for first order variational equations for last performed step of integration. On initialization is equal to the current derivatives set. More...

virtual const JetType &	getLastJetEnclosure () const
	returns jet of enclosures computed in the last performed step of integration. More...

virtual void	setLastJetEnclosure (const JetType &enc)

	operator VectorType () const
	returns actual value of function represented by jet More...

	operator MatrixType () const
	returns actual derivative of function represented by jet More...

const ScalarType &	operator() (size_type i, const Multipointer &mp) const
	returns a Taylor coefficients corresponding to multipointer, (1/mp!)d^{mp}f_i More...

const ScalarType &	operator() (size_type i, const Multiindex &mp) const
	returns a Taylor coefficients corresponding to multiindex, (1/mp!)d^{mp}f_i More...

RefVectorType	operator() (const Multipointer &mp) const
	returns vector of Taylor coefficients corresponding to multipointer, i.e. result[i] = (1/mp!)d^{mp}f More...

const ScalarType &	operator() (size_type i, size_type j, size_type c) const
	returns Taylor coefficient corresponding to partial derivative d^2f_i/dx_jdx_c More...

const ScalarType &	operator() (size_type j, size_type c) const
	returns df_j/dx_c More...

const ScalarType &	operator() (size_type i) const
	returns actual value of f_i More...

virtual	~CnSet ()

const ScalarType	getCurrentTime () const

ScalarType &	refCurrentTime ()

void	setCurrentTime (const ScalarType &t)

ScalarType	evalAt (const Functional &f) const
	This method computes value of functor f at interval vector represented by this set. More...

virtual std::string	show () const=0
	returns a set detailed information More...

Protected Attributes
JetType	m_currentSet

JetType	m_lastEnclosure

ScalarType	m_currentTime

Detailed Description

template<typename MatrixT, __size_type DEGREE = 0>
class capd::dynset::CnSet< MatrixT, DEGREE >

Common interface of all sets that store Cn information (set position and derivatives to order n)

Member Typedef Documentation

◆ JetType

template<typename MatrixT , __size_type DEGREE = 0>

typedef capd::diffAlgebra::Jet<MatrixType,DEGREE> capd::dynset::CnSet< MatrixT, DEGREE >::JetType

◆ MatrixType

template<typename MatrixT , __size_type DEGREE = 0>

typedef MatrixT capd::dynset::CnSet< MatrixT, DEGREE >::MatrixType

◆ Multiindex

template<typename MatrixT , __size_type DEGREE = 0>

typedef capd::vectalg::Multiindex capd::dynset::CnSet< MatrixT, DEGREE >::Multiindex

◆ Multipointer

template<typename MatrixT , __size_type DEGREE = 0>

typedef capd::vectalg::Multipointer capd::dynset::CnSet< MatrixT, DEGREE >::Multipointer

◆ RefVectorType

template<typename MatrixT , __size_type DEGREE = 0>

typedef MatrixType::RefColumnVectorType capd::dynset::CnSet< MatrixT, DEGREE >::RefVectorType

◆ ScalarType

template<typename MatrixT , __size_type DEGREE = 0>

typedef MatrixType::ScalarType capd::dynset::CnSet< MatrixT, DEGREE >::ScalarType

◆ SetType

template<typename MatrixT , __size_type DEGREE = 0>

typedef CnSet capd::dynset::CnSet< MatrixT, DEGREE >::SetType

◆ size_type

template<typename MatrixT , __size_type DEGREE = 0>

typedef MatrixType::size_type capd::dynset::CnSet< MatrixT, DEGREE >::size_type

◆ VectorType

template<typename MatrixT , __size_type DEGREE = 0>

typedef MatrixType::RowVectorType capd::dynset::CnSet< MatrixT, DEGREE >::VectorType

Constructor & Destructor Documentation

◆ CnSet() [1/2]

template<typename MatrixT , __size_type DEGREE = 0>

capd::dynset::CnSet< MatrixT, DEGREE >::CnSet	(	const VectorType &	x,
		size_type	degree,
		ScalarType	t
	)

inline

◆ CnSet() [2/2]

template<typename MatrixT , __size_type DEGREE = 0>

capd::dynset::CnSet< MatrixT, DEGREE >::CnSet	(	const JetType &	x,
		ScalarType	t
	)

inline

◆ ~CnSet()

template<typename MatrixT , __size_type DEGREE = 0>

virtual capd::dynset::CnSet< MatrixT, DEGREE >::~CnSet ( )

inlinevirtual

Member Function Documentation

◆ currentSet() [1/2]

template<typename MatrixT , __size_type DEGREE = 0>

JetType& capd::dynset::CnSet< MatrixT, DEGREE >::currentSet ( )

inline

returns actual set as a jet

◆ currentSet() [2/2]

template<typename MatrixT , __size_type DEGREE = 0>

const JetType& capd::dynset::CnSet< MatrixT, DEGREE >::currentSet ( ) const

inline

returns actual set as a read-only jet.

◆ degree()

template<typename MatrixT , __size_type DEGREE = 0>

size_type capd::dynset::CnSet< MatrixT, DEGREE >::degree ( ) const

inline

returns maximal order of partial derivative stored in the jet

◆ dimension()

template<typename MatrixT , __size_type DEGREE = 0>

size_type capd::dynset::CnSet< MatrixT, DEGREE >::dimension ( ) const

inline

returns number of variables in the jet

◆ evalAt()

ScalarType capd::dynset::AbstractSet< MatrixT::RowVectorType >::evalAt ( const Functional & f ) const

inlineinherited

This method computes value of functor f at interval vector represented by this set.

◆ getCurrentTime()

const ScalarType capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::getCurrentTime ( ) const

inlineinherited

◆ getLastEnclosure()

template<typename MatrixT , __size_type DEGREE = 0>

RefVectorType capd::dynset::CnSet< MatrixT, DEGREE >::getLastEnclosure ( ) const

inline

returns an enclosure for trajectories for last performed step of integration. On initialization is equal to the current set.

◆ getLastJetEnclosure()

template<typename MatrixT , __size_type DEGREE = 0>

virtual const JetType& capd::dynset::CnSet< MatrixT, DEGREE >::getLastJetEnclosure ( ) const

inlinevirtual

returns jet of enclosures computed in the last performed step of integration.

◆ getLastMatrixEnclosure()

template<typename MatrixT , __size_type DEGREE = 0>

MatrixType capd::dynset::CnSet< MatrixT, DEGREE >::getLastMatrixEnclosure ( ) const

inline

returns an enclosure for first order variational equations for last performed step of integration. On initialization is equal to the current derivatives set.

◆ maxDiam()

template<typename MatrixT , __size_type DEGREE = 0>

ScalarType capd::dynset::CnSet< MatrixT, DEGREE >::maxDiam ( ) const

inline

returns actual maximal diameter of the current set

◆ operator MatrixType()

template<typename MatrixT , __size_type DEGREE = 0>

capd::dynset::CnSet< MatrixT, DEGREE >::operator MatrixType ( ) const

inline

returns actual derivative of function represented by jet

◆ operator VectorType()

template<typename MatrixT , __size_type DEGREE = 0>

capd::dynset::CnSet< MatrixT, DEGREE >::operator VectorType ( ) const

inlinevirtual

returns actual value of function represented by jet

Implements capd::dynset::AbstractSet< MatrixT::RowVectorType >.

◆ operator()() [1/6]

template<typename MatrixT , __size_type DEGREE = 0>

RefVectorType capd::dynset::CnSet< MatrixT, DEGREE >::operator() ( const Multipointer & mp ) const

inline

returns vector of Taylor coefficients corresponding to multipointer, i.e. result[i] = (1/mp!)d^{mp}f

◆ operator()() [2/6]

template<typename MatrixT , __size_type DEGREE = 0>

const ScalarType& capd::dynset::CnSet< MatrixT, DEGREE >::operator() ( size_type i ) const

inline

returns actual value of f_i

◆ operator()() [3/6]

template<typename MatrixT , __size_type DEGREE = 0>

const ScalarType& capd::dynset::CnSet< MatrixT, DEGREE >::operator()	(	size_type	i,
		const Multiindex &	mp
	)		const

inline

returns a Taylor coefficients corresponding to multiindex, (1/mp!)d^{mp}f_i

◆ operator()() [4/6]

template<typename MatrixT , __size_type DEGREE = 0>

const ScalarType& capd::dynset::CnSet< MatrixT, DEGREE >::operator()	(	size_type	i,
		const Multipointer &	mp
	)		const

inline

returns a Taylor coefficients corresponding to multipointer, (1/mp!)d^{mp}f_i

◆ operator()() [5/6]

template<typename MatrixT , __size_type DEGREE = 0>

const ScalarType& capd::dynset::CnSet< MatrixT, DEGREE >::operator()	(	size_type	i,
		size_type	j,
		size_type	c
	)		const

inline

returns Taylor coefficient corresponding to partial derivative d^2f_i/dx_jdx_c

◆ operator()() [6/6]

template<typename MatrixT , __size_type DEGREE = 0>

const ScalarType& capd::dynset::CnSet< MatrixT, DEGREE >::operator()	(	size_type	j,
		size_type	c
	)		const

inline

returns df_j/dx_c

◆ refCurrentTime()

ScalarType& capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::refCurrentTime ( )

inlineinherited

◆ setCurrentTime()

void capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::setCurrentTime ( const ScalarType & t )

inlineinherited

◆ setLastJetEnclosure()

template<typename MatrixT , __size_type DEGREE = 0>

virtual void capd::dynset::CnSet< MatrixT, DEGREE >::setLastJetEnclosure ( const JetType & enc )

inlinevirtual

◆ show()

virtual std::string capd::dynset::AbstractSet< MatrixT::RowVectorType >::show ( ) const

pure virtualinherited

returns a set detailed information

Implemented in capd::dynset::C2DoubletonSet< MatrixT, Policies >, capd::dynset::C1GraphicalSet< MatrixT, OutputClass >, capd::dynset::C11Rect2< MatrixT, QRPolicy >, capd::dynset::C0FlowballSet< MatrixT >, capd::dynset::C0BallSet< MatrixT >, capd::dynset::CnRect2Set< MatrixT, Policies, DEGREE >, capd::dynset::CnDoubletonSet< MatrixT, Policies, DEGREE >, capd::dynset::C1HOSet< BaseSetT >, capd::dynset::C1DoubletonSet< MatrixT, Policies >, capd::dynset::C1DoubletonSet< MatrixT, C11Rect2Policies >, capd::dynset::C1AffineSet< MatrixT, Policies >, capd::dynset::C0TripletonSet< MatrixT, Policies >, capd::dynset::C0HOSet< BaseSetT >, capd::dynset::C0DoubletonSet< MatrixT, Policies >, capd::dynset::C0DoubletonSet< MatrixT, capd::C0Rect2Policies >, capd::dynset::C0DoubletonSet< GeometricBound< capd::interval >::MatrixType, capd::C0Rect2Policies >, and capd::dynset::C0AffineSet< MatrixT, Policies >.

Member Data Documentation

◆ m_currentSet

template<typename MatrixT , __size_type DEGREE = 0>

JetType capd::dynset::CnSet< MatrixT, DEGREE >::m_currentSet

protected

◆ m_currentTime

ScalarType capd::diffAlgebra::TimeRange< MatrixT::ScalarType >::m_currentTime

protectedinherited

◆ m_lastEnclosure

template<typename MatrixT , __size_type DEGREE = 0>

JetType capd::dynset::CnSet< MatrixT, DEGREE >::m_lastEnclosure

protected

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

capd/dynset/CnSet.h

Public Types

Public Member Functions

Protected Attributes

Detailed Description

template<typename MatrixT, __size_type DEGREE = 0> class capd::dynset::CnSet< MatrixT, DEGREE >

Member Typedef Documentation

◆ JetType

◆ MatrixType

◆ Multiindex

◆ Multipointer

◆ RefVectorType

◆ ScalarType

◆ SetType

◆ size_type

◆ VectorType

Constructor & Destructor Documentation

◆ CnSet() [1/2]

◆ CnSet() [2/2]

◆ ~CnSet()

Member Function Documentation

◆ currentSet() [1/2]

◆ currentSet() [2/2]

◆ degree()

◆ dimension()

◆ evalAt()

◆ getCurrentTime()

◆ getLastEnclosure()

◆ getLastJetEnclosure()

◆ getLastMatrixEnclosure()

◆ maxDiam()

◆ operator MatrixType()

◆ operator VectorType()

◆ operator()() [1/6]

◆ operator()() [2/6]

◆ operator()() [3/6]

◆ operator()() [4/6]

◆ operator()() [5/6]

◆ operator()() [6/6]

◆ refCurrentTime()

◆ setCurrentTime()

◆ setLastJetEnclosure()

◆ show()

Member Data Documentation

◆ m_currentSet

◆ m_currentTime

◆ m_lastEnclosure

template<typename MatrixT, __size_type DEGREE = 0>
class capd::dynset::CnSet< MatrixT, DEGREE >