Common interface of all sets that store C1 informations (set position and first derivatives) More...

#include <capd/dynset/C1Set.h>

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ScalarType	ScalarType

typedef MatrixType::size_type	size_type

typedef C1Set	SetType
	defines class of given set (C0, C1, C2, ...) More...

typedef capd::dynsys::C1DynSys< MatrixType >	DynSysType
	defines minimal regularity of the dynamical system More...

Public Member Functions
	C1Set (const VectorType &x, const VectorType &enc, const MatrixType &M, const MatrixType &mEnc, const ScalarType &t)
	constructor, initializes default enclosures and initial time More...

virtual	~C1Set ()
	destructor More...

virtual void	move (DynSysType &c1dynsys)=0
	computes image of the set after one step/iterate of the dynamical system More...

const ScalarType	getCurrentTime () const

ScalarType &	refCurrentTime ()

void	setCurrentTime (const ScalarType &t)

const MatrixT &	getLastMatrixEnclosure () const

virtual	operator MatrixT () const
	returns an enclosure of derivative in the canonical coordinates More...

const MatrixT::RowVectorType &	getLastEnclosure () const

virtual	operator MatrixT::RowVectorType () const
	returns an enclosure of the set in the canonical coordinates More...

void	setCurrentSet (const MatrixT::RowVectorType &x)

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

virtual	operator VectorType () const=0

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

Static Public Member Functions
const static size_type	degree ()

Protected Member Functions
void	setLastMatrixEnclosure (const MatrixT &M)

void	setLastEnclosure (const MatrixT::RowVectorType &enc)

Protected Attributes
ScalarType	m_currentTime

MatrixT	m_currentMatrix

MatrixT	m_lastMatrixEnclosure

MatrixT::RowVectorType	m_currentSet

MatrixT::RowVectorType	m_lastEnclosure

Detailed Description

template<typename MatrixT>
class capd::dynset::C1Set< MatrixT >

Common interface of all sets that store C1 informations (set position and first derivatives)

Member Typedef Documentation

◆ DynSysType

template<typename MatrixT >

typedef capd::dynsys::C1DynSys<MatrixType> capd::dynset::C1Set< MatrixT >::DynSysType

defines minimal regularity of the dynamical system

◆ MatrixType

template<typename MatrixT >

typedef MatrixT capd::dynset::C1Set< MatrixT >::MatrixType

◆ ScalarType

template<typename MatrixT >

typedef MatrixType::ScalarType capd::dynset::C1Set< MatrixT >::ScalarType

◆ SetType

template<typename MatrixT >

typedef C1Set capd::dynset::C1Set< MatrixT >::SetType

defines class of given set (C0, C1, C2, ...)

◆ size_type

template<typename MatrixT >

typedef MatrixType::size_type capd::dynset::C1Set< MatrixT >::size_type

◆ VectorType

template<typename MatrixT >

typedef MatrixType::RowVectorType capd::dynset::C1Set< MatrixT >::VectorType

Constructor & Destructor Documentation

◆ C1Set()

template<typename MatrixT >

capd::dynset::C1Set< MatrixT >::C1Set	(	const VectorType &	x,
		const VectorType &	enc,
		const MatrixType &	M,
		const MatrixType &	mEnc,
		const ScalarType &	t
	)

inline

constructor, initializes default enclosures and initial time

◆ ~C1Set()

template<typename MatrixT >

virtual capd::dynset::C1Set< MatrixT >::~C1Set ( )

inlinevirtual

destructor

Member Function Documentation

◆ degree()

template<typename MatrixT >

const static size_type capd::dynset::C1Set< MatrixT >::degree ( )

inlinestatic

◆ 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()

const MatrixT::RowVectorType & capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::getLastEnclosure ( ) const

inlineinherited

◆ getLastMatrixEnclosure()

template<class MatrixT >

const MatrixT& capd::dynset::C1EnclosureHolder< MatrixT >::getLastMatrixEnclosure ( ) const

inlineinherited

◆ move()

template<typename MatrixT >

virtual void capd::dynset::C1Set< MatrixT >::move ( DynSysType & c1dynsys )

pure virtual

computes image of the set after one step/iterate of the dynamical system

Implemented in capd::dynset::C1DoubletonSet< MatrixT, Policies >, capd::dynset::C1DoubletonSet< MatrixT, C11Rect2Policies >, and capd::dynset::C1AffineSet< MatrixT, Policies >.

◆ operator MatrixT()

template<class MatrixT >

virtual capd::dynset::C1EnclosureHolder< MatrixT >::operator MatrixT ( ) const

inlinevirtualinherited

returns an enclosure of derivative in the canonical coordinates

◆ operator MatrixT::RowVectorType()

virtual capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::operator MatrixT::RowVectorType ( ) const

inlinevirtualinherited

returns an enclosure of the set in the canonical coordinates

◆ operator VectorType()

virtual capd::dynset::AbstractSet< MatrixT::RowVectorType >::operator VectorType ( ) const

pure virtualinherited

Implemented in capd::dynset::CnSet< MatrixT, 0 >.

◆ refCurrentTime()

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

inlineinherited

◆ setCurrentSet()

void capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::setCurrentSet ( const VectorT & x )

inlineinherited

◆ setCurrentTime()

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

inlineinherited

◆ setLastEnclosure()

void capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::setLastEnclosure ( const VectorT & enc )

inlineprotectedinherited

◆ setLastMatrixEnclosure()

template<class MatrixT >

void capd::dynset::C1EnclosureHolder< MatrixT >::setLastMatrixEnclosure ( const MatrixT & M )

inlineprotectedinherited

◆ 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::C0BallSet< MatrixT >, capd::dynset::C11Rect2< MatrixT, QRPolicy >, capd::dynset::C0FlowballSet< MatrixT >, capd::dynset::C1DoubletonSet< MatrixT, C11Rect2Policies >, and capd::dynset::C0DoubletonSet< MatrixT, capd::C0Rect2Policies >.

Member Data Documentation

◆ m_currentMatrix

template<class MatrixT >

MatrixT capd::dynset::C1EnclosureHolder< MatrixT >::m_currentMatrix

protectedinherited

◆ m_currentSet

MatrixT::RowVectorType capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::m_currentSet

protectedinherited

◆ m_currentTime

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

protectedinherited

◆ m_lastEnclosure

MatrixT::RowVectorType capd::dynset::C0EnclosureHolder< MatrixT::RowVectorType >::m_lastEnclosure

protectedinherited

◆ m_lastMatrixEnclosure

template<class MatrixT >

MatrixT capd::dynset::C1EnclosureHolder< MatrixT >::m_lastMatrixEnclosure

protectedinherited

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<typename MatrixT> class capd::dynset::C1Set< MatrixT >

Member Typedef Documentation

◆ DynSysType

◆ MatrixType

◆ ScalarType

◆ SetType

◆ size_type

◆ VectorType

Constructor & Destructor Documentation

◆ C1Set()

◆ ~C1Set()

Member Function Documentation

◆ degree()

◆ evalAt()

◆ getCurrentTime()

◆ getLastEnclosure()

◆ getLastMatrixEnclosure()

◆ move()

◆ operator MatrixT()

◆ operator MatrixT::RowVectorType()

◆ operator VectorType()

◆ refCurrentTime()

◆ setCurrentSet()

◆ setCurrentTime()

◆ setLastEnclosure()

◆ setLastMatrixEnclosure()

◆ show()

Member Data Documentation

◆ m_currentMatrix

◆ m_currentSet

◆ m_currentTime

◆ m_lastEnclosure

◆ m_lastMatrixEnclosure

template<typename MatrixT>
class capd::dynset::C1Set< MatrixT >