The C1 set is represented as doubleton: x + B*r;. More...

#include <capd/dynset/C1AffineSet.h>

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ScalarType	ScalarType

typedef MatrixType::size_type	size_type

typedef C1Set< MatrixT >	SetType

typedef C1Set< MatrixT >::DynSysType	DynSysType

typedef capd::geomset::CenteredAffineSet< MatrixT >	C0BaseSet

typedef capd::geomset::MatrixAffineSet< MatrixT >	C1BaseSet

Public Member Functions
	C1AffineSet (const VectorType &x, ScalarType t=TypeTraits< ScalarType >::zero())

	C1AffineSet (const VectorType &x, const VectorType &r, ScalarType t=TypeTraits< ScalarType >::zero())

	C1AffineSet (const VectorType &x, const MatrixType &B, const VectorType &r, ScalarType t=TypeTraits< ScalarType >::zero())

	C1AffineSet (const C0BaseSet &c0part, const C1BaseSet &c1part, ScalarType t=TypeTraits< ScalarType >::zero())

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

void	move (DynSysType &dynsys, C1AffineSet &result) const
	computes image of the set after one step/iterate of the dynamical system and stores it in result More...

std::string	show () const

virtual std::string	name () const
	returns set's name More...

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

const MatrixType &	get_D () const

const ScalarType &	getElement_D (size_type i, size_type j) const

VectorType	getRow_D (size_type i) const

ColumnVectorType	getColumn_D (size_type j) const

const MatrixType &	get_R () const

const ScalarType &	getElement_R (size_type i, size_type j) const

VectorType	getRow_R (size_type i) const

ColumnVectorType	getColumn_R (size_type j) const

const MatrixType &	get_invBjac () const

const MatrixType &	get_Bjac () const

const ScalarType &	getElement_Bjac (size_type i, size_type j) const

VectorType	getRow_Bjac (size_type i) const

ColumnVectorType	getColumn_Bjac (size_type j) const

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)

virtual	operator VectorType () const=0

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

Static Public Member Functions
static C1AffineSet	create (const VectorType &x, ScalarType t=TypeTraits< ScalarType >::zero())

static C1AffineSet	create (const VectorType &x, const VectorType &r, ScalarType t=TypeTraits< ScalarType >::zero())

static C1AffineSet	create (const VectorType &x, const MatrixType &B, const VectorType &r, ScalarType t=TypeTraits< ScalarType >::zero())

static C1AffineSet	create (const C0BaseSet &c0part, const C1BaseSet &c1part, ScalarType t=TypeTraits< ScalarType >::zero())

const static size_type	degree ()

Public Attributes
MatrixType	m_D
	D is a center of the set. More...

MatrixType	m_R
	R is a interval set in given coordinate system. More...

MatrixType	m_Bjac
	Bjac is a coordinate system. More...

Protected Types
typedef capd::geomset::AffineSet< MatrixT >	BaseSet

typedef MatrixType::ColumnVectorType	ColumnVectorType

typedef MatrixType::template rebind< typename ScalarType::BoundType >::other	RealMatrix

typedef VectorType::template rebind< typename ScalarType::BoundType >::other	RealVector

typedef MatrixType::ColumnVectorType	ColumnVectorType

typedef capd::vectalg::Norm< VectorType, MatrixType >	NormType

Protected Member Functions
void	setLastMatrixEnclosure (const MatrixT &M)

void	setLastEnclosure (const MatrixT::RowVectorType &enc)

template<class Functional >
ScalarType	evalAt (const Functional &f, const VectorType &gradient) const
	This method computes value of functor f at interval vector represented by this set. This set is represented as X=x+Br, where r contains zero. Then f(X) can be evaluated as f(x) + (Df(X)B)*r. More...

size_type	dimension () const
	returns dimension of a set More...

	operator VectorType () const
	returns interval vector that contains set. More...

virtual std::string	toString () const
	returns set detailed information More...

virtual VectorType	affineTransformation (const MatrixType &, const VectorType &) const
	returns set image after affine transformation More...

virtual ScalarType	evalAffineFunctional (const VectorType &gradient, const VectorType &x0) const
	This method computes value of an affine functional f at the vector represented by this set. This set is represented as doubleton X=x+Br. Then f(X) = grad(X-x0) can be computed as grad(x-x0) + (gradB)*r. More...

const VectorType &	get_x () const

const ScalarType &	getElement_x (int i) const

void	set_x (const VectorType &x)

void	setElement_x (size_type i, const ScalarType &s)

const VectorType &	get_r () const

const ScalarType &	getElement_r (size_type i) const

void	set_r (const VectorType &r)

void	setElement_r (size_type i, const ScalarType &s)

const MatrixType &	get_B () const

const MatrixType &	get_invB () const

void	setToIdentity ()

const ScalarType &	getElement_B (size_type i, size_type j) const

VectorType	getRow_B (size_type i) const

ColumnVectorType	getColumn_B (size_type j) const

void	set_B (const MatrixType &B)

void	set_invB (const MatrixType &B)

void	setElement_B (size_type i, size_type j, const ScalarType &s)

template<typename VectorT >
void	setRow_B (size_type i, const VectorT &v)

template<typename VectorT >
void	setColumn_B (size_type j, const VectorT &v)

	operator MatrixType () const
	return interval matrix containing all matrices in the set More...

void	setToIdentity ()
	sets the set to identity More...

virtual std::string	toString () const
	returns set detailed information More...

virtual MatrixType	affineMatrixTransformation (const MatrixType &A_M) const
	returns image of the set after affine transformation More...

const MatrixType &	get_D () const

const ScalarType &	getElement_D (size_type i, size_type j) const

VectorType	getRow_D (size_type i) const

ColumnVectorType	getColumn_D (size_type j) const

void	set_D (const MatrixType &Bjac)

void	setElement_D (size_type i, size_type j, const ScalarType &s)

template<typename VectorT >
void	setRow_D (size_type i, const VectorT &v)

template<typename VectorT >
void	setColumn_D (size_type j, const VectorT &v)

const MatrixType &	get_R () const

const ScalarType &	getElement_R (size_type i, size_type j) const

VectorType	getRow_R (size_type i) const

ColumnVectorType	getColumn_R (size_type j) const

void	set_R (const MatrixType &Bjac)

void	setElement_R (size_type i, size_type j, const ScalarType &s)

template<typename VectorT >
void	setRow_R (size_type i, const VectorT &v)

template<typename VectorT >
void	setColumn_R (size_type j, const VectorT &v)

const MatrixType &	get_invBjac () const

const MatrixType &	get_Bjac () const

const ScalarType &	getElement_Bjac (size_type i, size_type j) const

VectorType	getRow_Bjac (size_type i) const

ColumnVectorType	getColumn_Bjac (size_type j) const

void	set_Bjac (const MatrixType &Bjac)

void	setElement_Bjac (size_type i, size_type j, const ScalarType &s)

template<typename VectorT >
void	setRow_Bjac (size_type i, const VectorT &v)

template<typename VectorT >
void	setColumn_Bjac (size_type j, const VectorT &v)

Protected Attributes
MatrixType	m_invBjac

ScalarType	m_currentTime

MatrixT	m_currentMatrix

MatrixT	m_lastMatrixEnclosure

MatrixT::RowVectorType	m_currentSet

MatrixT::RowVectorType	m_lastEnclosure

VectorType	m_x
	x is a center of the set More...

MatrixType	m_B
	B is a coordinate system. More...

MatrixType	m_invB

VectorType	m_r
	r is a interval set in given coordinate system More...

Detailed Description

template<typename MatrixT, typename Policies>
class capd::dynset::C1AffineSet< MatrixT, Policies >

The C1 set is represented as doubleton: x + B*r;.

The class represents derivatives in a doubleton form as described in the paper C^1-Lohner algorithm by Piotr Zgliczy�ski (FoCM 2001).

Member Typedef Documentation

◆ BaseSet

template<typename MatrixT >

typedef capd::geomset::AffineSet<MatrixT> capd::geomset::CenteredAffineSet< MatrixT >::BaseSet

inherited

◆ C0BaseSet

template<typename MatrixT , typename Policies >

typedef capd::geomset::CenteredAffineSet<MatrixT> capd::dynset::C1AffineSet< MatrixT, Policies >::C0BaseSet

◆ C1BaseSet

template<typename MatrixT , typename Policies >

typedef capd::geomset::MatrixAffineSet<MatrixT> capd::dynset::C1AffineSet< MatrixT, Policies >::C1BaseSet

◆ ColumnVectorType [1/2]

template<typename MatrixT >

typedef MatrixType::ColumnVectorType capd::geomset::CenteredAffineSet< MatrixT >::ColumnVectorType

inherited

◆ ColumnVectorType [2/2]

template<typename MatrixT >

typedef MatrixType::ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::ColumnVectorType

inherited

◆ DynSysType

template<typename MatrixT , typename Policies >

typedef C1Set<MatrixT>::DynSysType capd::dynset::C1AffineSet< MatrixT, Policies >::DynSysType

◆ MatrixType

template<typename MatrixT , typename Policies >

typedef MatrixT capd::dynset::C1AffineSet< MatrixT, Policies >::MatrixType

◆ NormType

template<typename MatrixT >

typedef capd::vectalg::Norm<VectorType,MatrixType> capd::geomset::MatrixAffineSet< MatrixT >::NormType

inherited

◆ RealMatrix

template<typename MatrixT >

typedef MatrixType::template rebind<typename ScalarType::BoundType>::other capd::geomset::AffineSet< MatrixT >::RealMatrix

inherited

◆ RealVector

template<typename MatrixT >

typedef VectorType::template rebind<typename ScalarType::BoundType>::other capd::geomset::AffineSet< MatrixT >::RealVector

inherited

◆ ScalarType

template<typename MatrixT , typename Policies >

typedef MatrixType::ScalarType capd::dynset::C1AffineSet< MatrixT, Policies >::ScalarType

◆ SetType

template<typename MatrixT , typename Policies >

typedef C1Set<MatrixT> capd::dynset::C1AffineSet< MatrixT, Policies >::SetType

◆ size_type

template<typename MatrixT , typename Policies >

typedef MatrixType::size_type capd::dynset::C1AffineSet< MatrixT, Policies >::size_type

◆ VectorType

template<typename MatrixT , typename Policies >

typedef MatrixType::RowVectorType capd::dynset::C1AffineSet< MatrixT, Policies >::VectorType

Constructor & Destructor Documentation

◆ C1AffineSet() [1/4]

template<typename MatrixType , typename Policies >

capd::dynset::C1AffineSet< MatrixType, Policies >::C1AffineSet	(	const VectorType &	x,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

◆ C1AffineSet() [2/4]

template<typename MatrixType , typename Policies >

capd::dynset::C1AffineSet< MatrixType, Policies >::C1AffineSet	(	const VectorType &	x,
		const VectorType &	r,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

◆ C1AffineSet() [3/4]

template<typename MatrixType , typename Policies >

capd::dynset::C1AffineSet< MatrixType, Policies >::C1AffineSet	(	const VectorType &	x,
		const MatrixType &	B,
		const VectorType &	r,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

◆ C1AffineSet() [4/4]

template<typename MatrixType , typename Policies >

capd::dynset::C1AffineSet< MatrixType, Policies >::C1AffineSet	(	const C0BaseSet &	c0part,
		const C1BaseSet &	c1part,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

Member Function Documentation

◆ create() [1/4]

template<typename MatrixType , typename Policies >

C1AffineSet< MatrixType, Policies > capd::dynset::C1AffineSet< MatrixType, Policies >::create	(	const C0BaseSet &	c0part,
		const C1BaseSet &	c1part,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

static

◆ create() [2/4]

template<typename MatrixType , typename Policies >

C1AffineSet< MatrixType, Policies > capd::dynset::C1AffineSet< MatrixType, Policies >::create	(	const VectorType &	x,
		const MatrixType &	B,
		const VectorType &	r,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

static

◆ create() [3/4]

template<typename MatrixType , typename Policies >

C1AffineSet< MatrixType, Policies > capd::dynset::C1AffineSet< MatrixType, Policies >::create	(	const VectorType &	x,
		const VectorType &	r,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

static

◆ create() [4/4]

template<typename MatrixType , typename Policies >

C1AffineSet< MatrixType, Policies > capd::dynset::C1AffineSet< MatrixType, Policies >::create	(	const VectorType &	x,
		ScalarType	t = `TypeTraits<ScalarType>::zero()`
	)

static

◆ degree()

template<typename MatrixT >

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

inlinestaticinherited

◆ dimension()

template<typename MatrixT >

size_type capd::geomset::AffineSet< MatrixT >::dimension ( ) const

inlineinherited

returns dimension of a set

◆ evalAt() [1/2]

template<typename MatrixT , typename Policies >

template<class Functional >

ScalarType capd::dynset::C1AffineSet< MatrixT, Policies >::evalAt ( const Functional & f ) const

inline

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

◆ evalAt() [2/2]

template<typename MatrixT >

template<class Functional >

ScalarType capd::geomset::CenteredAffineSet< MatrixT >::evalAt	(	const Functional &	f,
		const VectorType &	gradient
	)		const

inlineinherited

This method computes value of functor f at interval vector represented by this set. This set is represented as X=x+B*r, where r contains zero. Then f(X) can be evaluated as f(x) + (Df(X)*B)*r.

◆ get_B()

template<typename MatrixT >

const MatrixType& capd::geomset::AffineSet< MatrixT >::get_B ( ) const

inlineinherited

◆ get_Bjac() [1/2]

template<typename MatrixT , typename Policies >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_Bjac

inline

◆ get_Bjac() [2/2]

template<typename MatrixT >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_Bjac ( ) const

inlineinherited

◆ get_D() [1/2]

template<typename MatrixT >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_D ( ) const

inlineinherited

◆ get_D() [2/2]

template<typename MatrixT , typename Policies >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_D

inline

◆ get_invB()

template<typename MatrixT >

const MatrixType& capd::geomset::AffineSet< MatrixT >::get_invB ( ) const

inlineinherited

◆ get_invBjac() [1/2]

template<typename MatrixT , typename Policies >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_invBjac

inline

◆ get_invBjac() [2/2]

template<typename MatrixT >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_invBjac ( ) const

inlineinherited

◆ get_R() [1/2]

template<typename MatrixT >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_R ( ) const

inlineinherited

◆ get_r()

template<typename MatrixT >

const VectorType& capd::geomset::AffineSet< MatrixT >::get_r ( ) const

inlineinherited

◆ get_R() [2/2]

template<typename MatrixT , typename Policies >

const MatrixType& capd::geomset::MatrixAffineSet< MatrixT >::get_R

inline

◆ get_x()

template<typename MatrixT >

const VectorType& capd::geomset::AffineSet< MatrixT >::get_x ( ) const

inlineinherited

◆ getColumn_B()

template<typename MatrixT >

ColumnVectorType capd::geomset::AffineSet< MatrixT >::getColumn_B ( size_type j ) const

inlineinherited

◆ getColumn_Bjac() [1/2]

template<typename MatrixT , typename Policies >

ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::getColumn_Bjac

inline

◆ getColumn_Bjac() [2/2]

template<typename MatrixT >

ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::getColumn_Bjac ( size_type j ) const

inlineinherited

◆ getColumn_D() [1/2]

template<typename MatrixT >

ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::getColumn_D ( size_type j ) const

inlineinherited

◆ getColumn_D() [2/2]

template<typename MatrixT , typename Policies >

ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::getColumn_D

inline

◆ getColumn_R() [1/2]

template<typename MatrixT >

ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::getColumn_R ( size_type j ) const

inlineinherited

◆ getColumn_R() [2/2]

template<typename MatrixT , typename Policies >

ColumnVectorType capd::geomset::MatrixAffineSet< MatrixT >::getColumn_R

inline

◆ getCurrentTime()

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

inlineinherited

◆ getElement_B()

template<typename MatrixT >

const ScalarType& capd::geomset::AffineSet< MatrixT >::getElement_B	(	size_type	i,
		size_type	j
	)		const

inlineinherited

◆ getElement_Bjac() [1/2]

template<typename MatrixT , typename Policies >

const ScalarType& capd::geomset::MatrixAffineSet< MatrixT >::getElement_Bjac

inline

◆ getElement_Bjac() [2/2]

template<typename MatrixT >

const ScalarType& capd::geomset::MatrixAffineSet< MatrixT >::getElement_Bjac	(	size_type	i,
		size_type	j
	)		const

inlineinherited

◆ getElement_D() [1/2]

template<typename MatrixT >

const ScalarType& capd::geomset::MatrixAffineSet< MatrixT >::getElement_D	(	size_type	i,
		size_type	j
	)		const

inlineinherited

◆ getElement_D() [2/2]

template<typename MatrixT , typename Policies >

const ScalarType& capd::geomset::MatrixAffineSet< MatrixT >::getElement_D

inline

◆ getElement_r()

template<typename MatrixT >

const ScalarType& capd::geomset::AffineSet< MatrixT >::getElement_r ( size_type i ) const

inlineinherited

◆ getElement_R() [1/2]

template<typename MatrixT >

const ScalarType& capd::geomset::MatrixAffineSet< MatrixT >::getElement_R	(	size_type	i,
		size_type	j
	)		const

inlineinherited

◆ getElement_R() [2/2]

template<typename MatrixT , typename Policies >

const ScalarType& capd::geomset::MatrixAffineSet< MatrixT >::getElement_R

inline

◆ getElement_x()

template<typename MatrixT >

const ScalarType& capd::geomset::AffineSet< MatrixT >::getElement_x ( int i ) 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

◆ getRow_B()

template<typename MatrixT >

VectorType capd::geomset::AffineSet< MatrixT >::getRow_B ( size_type i ) const

inlineinherited

◆ getRow_Bjac() [1/2]

template<typename MatrixT , typename Policies >

VectorType capd::geomset::MatrixAffineSet< MatrixT >::getRow_Bjac

inline

◆ getRow_Bjac() [2/2]

template<typename MatrixT >

VectorType capd::geomset::MatrixAffineSet< MatrixT >::getRow_Bjac ( size_type i ) const

inlineinherited

◆ getRow_D() [1/2]

template<typename MatrixT >

VectorType capd::geomset::MatrixAffineSet< MatrixT >::getRow_D ( size_type i ) const

inlineinherited

◆ getRow_D() [2/2]

template<typename MatrixT , typename Policies >

VectorType capd::geomset::MatrixAffineSet< MatrixT >::getRow_D

inline

◆ getRow_R() [1/2]

template<typename MatrixT >

VectorType capd::geomset::MatrixAffineSet< MatrixT >::getRow_R ( size_type i ) const

inlineinherited

◆ getRow_R() [2/2]

template<typename MatrixT , typename Policies >

VectorType capd::geomset::MatrixAffineSet< MatrixT >::getRow_R

inline

◆ move() [1/2]

template<typename MatrixType , typename Policies >

void capd::dynset::C1AffineSet< MatrixType, Policies >::move ( DynSysType & dynsys )

virtual

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

Implements capd::dynset::C1Set< MatrixT >.

◆ move() [2/2]

template<typename MatrixType , typename Policies >

void capd::dynset::C1AffineSet< MatrixType, Policies >::move	(	DynSysType &	dynsys,
		C1AffineSet< MatrixT, Policies > &	result
	)		const

computes image of the set after one step/iterate of the dynamical system and stores it in result

◆ name()

template<typename MatrixT , typename Policies >

virtual std::string capd::dynset::C1AffineSet< MatrixT, Policies >::name ( ) const

inlinevirtual

returns set's name

Reimplemented from capd::geomset::CenteredAffineSet< MatrixT >.

◆ 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 MatrixType()

template<typename MatrixT >

capd::geomset::MatrixAffineSet< MatrixT >::operator MatrixType ( ) const

inherited

return interval matrix containing all matrices in the set

◆ operator VectorType() [1/2]

template<typename MatrixT >

capd::geomset::AffineSet< MatrixT >::operator VectorType ( ) const

inherited

returns interval vector that contains set.

◆ operator VectorType() [2/2]

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

◆ set_B()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::set_B ( const MatrixType & B )

inlineinherited

◆ set_Bjac()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::set_Bjac ( const MatrixType & Bjac )

inlineinherited

◆ set_D()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::set_D ( const MatrixType & Bjac )

inlineinherited

◆ set_invB()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::set_invB ( const MatrixType & B )

inlineinherited

◆ set_R()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::set_R ( const MatrixType & Bjac )

inlineinherited

◆ set_r()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::set_r ( const VectorType & r )

inlineinherited

◆ set_x()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::set_x ( const VectorType & x )

inlineinherited

◆ setColumn_B()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::AffineSet< MatrixT >::setColumn_B	(	size_type	j,
		const VectorT &	v
	)

inlineinherited

◆ setColumn_Bjac()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setColumn_Bjac	(	size_type	j,
		const VectorT &	v
	)

inlineinherited

◆ setColumn_D()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setColumn_D	(	size_type	j,
		const VectorT &	v
	)

inlineinherited

◆ setColumn_R()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setColumn_R	(	size_type	j,
		const VectorT &	v
	)

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

◆ setElement_B()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::setElement_B	(	size_type	i,
		size_type	j,
		const ScalarType &	s
	)

inlineinherited

◆ setElement_Bjac()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::setElement_Bjac	(	size_type	i,
		size_type	j,
		const ScalarType &	s
	)

inlineinherited

◆ setElement_D()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::setElement_D	(	size_type	i,
		size_type	j,
		const ScalarType &	s
	)

inlineinherited

◆ setElement_r()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::setElement_r	(	size_type	i,
		const ScalarType &	s
	)

inlineinherited

◆ setElement_R()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::setElement_R	(	size_type	i,
		size_type	j,
		const ScalarType &	s
	)

inlineinherited

◆ setElement_x()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::setElement_x	(	size_type	i,
		const ScalarType &	s
	)

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

◆ setRow_B()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::AffineSet< MatrixT >::setRow_B	(	size_type	i,
		const VectorT &	v
	)

inlineinherited

◆ setRow_Bjac()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setRow_Bjac	(	size_type	i,
		const VectorT &	v
	)

inlineinherited

◆ setRow_D()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setRow_D	(	size_type	i,
		const VectorT &	v
	)

inlineinherited

◆ setRow_R()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setRow_R	(	size_type	i,
		const VectorT &	v
	)

inlineinherited

◆ setToIdentity()

template<typename MatrixT >

void capd::geomset::AffineSet< MatrixT >::setToIdentity ( )

inlineinherited

◆ show() [1/2]

template<typename MatrixType , typename Policies >

std::string capd::dynset::C1AffineSet< MatrixType, Policies >::show

◆ show() [2/2]

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_B

template<typename MatrixT >

MatrixType capd::geomset::AffineSet< MatrixT >::m_B

inherited

B is a coordinate system.

◆ m_Bjac

template<typename MatrixT , typename Policies >

MatrixType capd::geomset::MatrixAffineSet< MatrixT >::m_Bjac

Bjac is a coordinate system.

◆ 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_D

template<typename MatrixT , typename Policies >

MatrixType capd::geomset::MatrixAffineSet< MatrixT >::m_D

D is a center of the set.

◆ m_invB

template<typename MatrixT >

MatrixType capd::geomset::AffineSet< MatrixT >::m_invB

inherited

◆ m_invBjac

template<typename MatrixT , typename Policies >

MatrixType capd::geomset::MatrixAffineSet< MatrixT >::m_invBjac

protected

◆ 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

◆ m_R

template<typename MatrixT , typename Policies >

MatrixType capd::geomset::MatrixAffineSet< MatrixT >::m_R

R is a interval set in given coordinate system.

◆ m_r

template<typename MatrixT >

VectorType capd::geomset::AffineSet< MatrixT >::m_r

inherited

r is a interval set in given coordinate system

◆ m_x

template<typename MatrixT >

VectorType capd::geomset::AffineSet< MatrixT >::m_x

inherited

x is a center of the set

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

template<typename MatrixT, typename Policies> class capd::dynset::C1AffineSet< MatrixT, Policies >

Member Typedef Documentation

◆ BaseSet

◆ C0BaseSet

◆ C1BaseSet

◆ ColumnVectorType [1/2]

◆ ColumnVectorType [2/2]

◆ DynSysType

◆ MatrixType

◆ NormType

◆ RealMatrix

◆ RealVector

◆ ScalarType

◆ SetType

◆ size_type

◆ VectorType

Constructor & Destructor Documentation

◆ C1AffineSet() [1/4]

◆ C1AffineSet() [2/4]

◆ C1AffineSet() [3/4]

◆ C1AffineSet() [4/4]

Member Function Documentation

◆ create() [1/4]

◆ create() [2/4]

◆ create() [3/4]

◆ create() [4/4]

◆ degree()

◆ dimension()

◆ evalAt() [1/2]

◆ evalAt() [2/2]

◆ get_B()

◆ get_Bjac() [1/2]

◆ get_Bjac() [2/2]

◆ get_D() [1/2]

◆ get_D() [2/2]

◆ get_invB()

◆ get_invBjac() [1/2]

◆ get_invBjac() [2/2]

◆ get_R() [1/2]

◆ get_r()

◆ get_R() [2/2]

◆ get_x()

◆ getColumn_B()

◆ getColumn_Bjac() [1/2]

◆ getColumn_Bjac() [2/2]

◆ getColumn_D() [1/2]

◆ getColumn_D() [2/2]

◆ getColumn_R() [1/2]

◆ getColumn_R() [2/2]

◆ getCurrentTime()

◆ getElement_B()

◆ getElement_Bjac() [1/2]

◆ getElement_Bjac() [2/2]

◆ getElement_D() [1/2]

◆ getElement_D() [2/2]

◆ getElement_r()

◆ getElement_R() [1/2]

◆ getElement_R() [2/2]

◆ getElement_x()

◆ getLastEnclosure()

◆ getLastMatrixEnclosure()

◆ getRow_B()

◆ getRow_Bjac() [1/2]

◆ getRow_Bjac() [2/2]

◆ getRow_D() [1/2]

◆ getRow_D() [2/2]

◆ getRow_R() [1/2]

◆ getRow_R() [2/2]

◆ move() [1/2]

◆ move() [2/2]

◆ name()

◆ operator MatrixT()

template<typename MatrixT, typename Policies>
class capd::dynset::C1AffineSet< MatrixT, Policies >