Set of matrices represented as D + Cjac * R0 + Bjac * R. More...

#include <capd/geomset/MatrixDoubletonSet.h>

Public Types
typedef MatrixAffineSet< MatrixT >	BaseSet

typedef BaseSet::MatrixType	MatrixType

typedef BaseSet::VectorType	VectorType

typedef BaseSet::ColumnVectorType	ColumnVectorType

typedef BaseSet::ScalarType	ScalarType

typedef BaseSet::NormType	NormType

typedef MatrixType::size_type	size_type

Public Member Functions
	MatrixDoubletonSet (size_type)
	D:=Id, R0:=0, C:=Id, R:=0, B:=Id. More...

	MatrixDoubletonSet (const MatrixType &V)
	D:=mid(V), R0:=[-radius(V),radius(V)], C:=Id, R:=0, B:=Id. More...

	MatrixDoubletonSet (const MatrixType &D, bool)
	D:=D, R0:=0, C:=Id, R:=0, B:=Id. More...

	MatrixDoubletonSet (const MatrixType &D, const MatrixType &R0)
	D:=D, R0:=R0, C:=Id, R:=0, B:=Id. More...

	MatrixDoubletonSet (const MatrixType &D, const MatrixType &Cjac, const MatrixType &R0)

	MatrixDoubletonSet (const MatrixType &D, const MatrixType &Cjac, const MatrixType &R0, const MatrixType &R)

	MatrixDoubletonSet (const MatrixType &D, const MatrixType &Cjac, const MatrixType &R0, const MatrixType &Bjac, const MatrixType &R)

	operator MatrixType () const

void	setToIdentity (size_type dim)

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

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

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

const MatrixType &	get_R0 () const

const ScalarType &	getElement_R0 (size_type i, size_type j) const

VectorType	getRow_R0 (size_type i) const

ColumnVectorType	getColumn_R0 (size_type j) const

void	set_R0 (const MatrixType &R0)

void	setElement_R0 (size_type i, size_type j, const ScalarType &s)

template<typename VectorT >
void	setRow_R0 (size_type i, const VectorT &v)

template<typename VectorT >
void	setColumn_R0 (size_type j, const VectorT &v)

const MatrixType &	get_Cjac () const

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

VectorType	getRow_Cjac (size_type i) const

ColumnVectorType	getColumn_Cjac (size_type j) const

void	set_Cjac (const MatrixType &C)

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

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

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

void	setToIdentity ()
	sets the set to identity 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)

Public Attributes
MatrixType	m_R0
	r0 is a interval set in given coordinate system that represents 'Lipschitz' part More...

MatrixType	m_Cjac
	C is a coordinate system of the 'Lipschitz' part. More...

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

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

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

MatrixType	m_invBjac

Detailed Description

template<typename MatrixT>
class capd::geomset::MatrixDoubletonSet< MatrixT >

Set of matrices represented as D + Cjac * R0 + Bjac * R.

Set of matrices is represented as

$D + Cjac \cdot R0 + Bjac \cdot R$

where

the matrix D is a center,
matrices Bjac and Cjac are coordinate systems
the matrix R0 represents stores set size
the matrix R is used as containers for all errors

Member Typedef Documentation

◆ BaseSet

template<typename MatrixT >

typedef MatrixAffineSet<MatrixT> capd::geomset::MatrixDoubletonSet< MatrixT >::BaseSet

◆ ColumnVectorType

template<typename MatrixT >

typedef BaseSet::ColumnVectorType capd::geomset::MatrixDoubletonSet< MatrixT >::ColumnVectorType

◆ MatrixType

template<typename MatrixT >

typedef BaseSet::MatrixType capd::geomset::MatrixDoubletonSet< MatrixT >::MatrixType

◆ NormType

template<typename MatrixT >

typedef BaseSet::NormType capd::geomset::MatrixDoubletonSet< MatrixT >::NormType

◆ ScalarType

template<typename MatrixT >

typedef BaseSet::ScalarType capd::geomset::MatrixDoubletonSet< MatrixT >::ScalarType

◆ size_type

template<typename MatrixT >

typedef MatrixType::size_type capd::geomset::MatrixDoubletonSet< MatrixT >::size_type

◆ VectorType

template<typename MatrixT >

typedef BaseSet::VectorType capd::geomset::MatrixDoubletonSet< MatrixT >::VectorType

Member Function Documentation

◆ get_Bjac()

template<typename MatrixT >

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

inlineinherited

◆ get_Cjac()

template<typename MatrixT >

const MatrixType& capd::geomset::MatrixDoubletonSet< MatrixT >::get_Cjac ( ) const

inline

◆ get_D()

template<typename MatrixT >

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

inlineinherited

◆ get_invBjac()

template<typename MatrixT >

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

inlineinherited

◆ get_R()

template<typename MatrixT >

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

inlineinherited

◆ get_R0()

template<typename MatrixT >

const MatrixType& capd::geomset::MatrixDoubletonSet< MatrixT >::get_R0 ( ) const

inline

◆ getColumn_Bjac()

template<typename MatrixT >

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

inlineinherited

◆ getColumn_Cjac()

template<typename MatrixT >

ColumnVectorType capd::geomset::MatrixDoubletonSet< MatrixT >::getColumn_Cjac ( size_type j ) const

inline

◆ getColumn_D()

template<typename MatrixT >

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

inlineinherited

◆ getColumn_R()

template<typename MatrixT >

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

inlineinherited

◆ getColumn_R0()

template<typename MatrixT >

ColumnVectorType capd::geomset::MatrixDoubletonSet< MatrixT >::getColumn_R0 ( size_type j ) const

inline

◆ getElement_Bjac()

template<typename MatrixT >

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

inlineinherited

◆ getElement_Cjac()

template<typename MatrixT >

const ScalarType& capd::geomset::MatrixDoubletonSet< MatrixT >::getElement_Cjac	(	size_type	i,
		size_type	j
	)		const

inline

◆ getElement_D()

template<typename MatrixT >

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

inlineinherited

◆ getElement_R()

template<typename MatrixT >

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

inlineinherited

◆ getElement_R0()

template<typename MatrixT >

const ScalarType& capd::geomset::MatrixDoubletonSet< MatrixT >::getElement_R0	(	size_type	i,
		size_type	j
	)		const

inline

◆ getRow_Bjac()

template<typename MatrixT >

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

inlineinherited

◆ getRow_Cjac()

template<typename MatrixT >

VectorType capd::geomset::MatrixDoubletonSet< MatrixT >::getRow_Cjac ( size_type i ) const

inline

◆ getRow_D()

template<typename MatrixT >

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

inlineinherited

◆ getRow_R()

template<typename MatrixT >

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

inlineinherited

◆ getRow_R0()

template<typename MatrixT >

VectorType capd::geomset::MatrixDoubletonSet< MatrixT >::getRow_R0 ( size_type i ) const

inline

◆ name()

template<typename MatrixT >

virtual std::string capd::geomset::MatrixDoubletonSet< MatrixT >::name ( ) const

inlinevirtual

returns set's name

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

Reimplemented in capd::pdes::C0DoubletonSetGeometricTail< capd::dynset::C1DoubletonSet< GeometricBound::MatrixType, Policies > >, capd::dynset::C1DoubletonSet< MatrixT, Policies >, capd::dynset::C1DoubletonSet< GeometricBound::MatrixType, Policies >, capd::dynset::C2DoubletonSet< MatrixT, Policies >, and capd::dynset::C11Rect2Set< MatrixT >.

◆ operator MatrixType()

template<typename MatrixT >

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

◆ set_Bjac()

template<typename MatrixT >

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

inlineinherited

◆ set_Cjac()

template<typename MatrixT >

void capd::geomset::MatrixDoubletonSet< MatrixT >::set_Cjac ( const MatrixType & C )

inline

◆ set_D()

template<typename MatrixT >

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

inlineinherited

◆ set_R()

template<typename MatrixT >

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

inlineinherited

◆ set_R0()

template<typename MatrixT >

void capd::geomset::MatrixDoubletonSet< MatrixT >::set_R0 ( const MatrixType & R0 )

inline

◆ setColumn_Bjac()

template<typename MatrixT >

template<typename VectorT >

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

inlineinherited

◆ setColumn_Cjac()

template<typename MatrixT >

template<typename VectorT >

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

inline

◆ 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

◆ setColumn_R0()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixDoubletonSet< MatrixT >::setColumn_R0	(	size_type	j,
		const VectorT &	v
	)

inline

◆ setElement_Bjac()

template<typename MatrixT >

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

inlineinherited

◆ setElement_Cjac()

template<typename MatrixT >

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

inline

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

inlineinherited

◆ setElement_R0()

template<typename MatrixT >

void capd::geomset::MatrixDoubletonSet< MatrixT >::setElement_R0	(	size_type	i,
		size_type	j,
		const ScalarType &	s
	)

inline

◆ setRow_Bjac()

template<typename MatrixT >

template<typename VectorT >

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

inlineinherited

◆ setRow_Cjac()

template<typename MatrixT >

template<typename VectorT >

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

inline

◆ 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

◆ setRow_R0()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixDoubletonSet< MatrixT >::setRow_R0	(	size_type	i,
		const VectorT &	v
	)

inline

Member Data Documentation

◆ m_Bjac

template<typename MatrixT >

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

Bjac is a coordinate system.

◆ m_Cjac

template<typename MatrixT >

MatrixType capd::geomset::MatrixDoubletonSet< MatrixT >::m_Cjac

C is a coordinate system of the 'Lipschitz' part.

◆ m_D

template<typename MatrixT >

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

D is a center of the set.

◆ m_invBjac

template<typename MatrixT >

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

◆ m_R

template<typename MatrixT >

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

R is a interval set in given coordinate system.

◆ m_R0

template<typename MatrixT >

MatrixType capd::geomset::MatrixDoubletonSet< MatrixT >::m_R0

r0 is a interval set in given coordinate system that represents 'Lipschitz' part

Public Types

Public Member Functions

Public Attributes

Detailed Description

template<typename MatrixT> class capd::geomset::MatrixDoubletonSet< MatrixT >

Member Typedef Documentation

◆ BaseSet

◆ ColumnVectorType

◆ MatrixType

◆ NormType

◆ ScalarType

◆ size_type

◆ VectorType

Member Function Documentation

◆ get_Bjac()

◆ get_Cjac()

◆ get_D()

◆ get_invBjac()

◆ get_R()

◆ get_R0()

◆ getColumn_Bjac()

◆ getColumn_Cjac()

◆ getColumn_D()

◆ getColumn_R()

◆ getColumn_R0()

◆ getElement_Bjac()

◆ getElement_Cjac()

◆ getElement_D()

◆ getElement_R()

◆ getElement_R0()

◆ getRow_Bjac()

◆ getRow_Cjac()

◆ getRow_D()

◆ getRow_R()

◆ getRow_R0()

◆ name()

◆ operator MatrixType()

◆ set_Bjac()

◆ set_Cjac()

◆ set_D()

◆ set_R()

◆ set_R0()

◆ setColumn_Bjac()

◆ setColumn_Cjac()

◆ setColumn_D()

◆ setColumn_R()

◆ setColumn_R0()

◆ setElement_Bjac()

◆ setElement_Cjac()

◆ setElement_D()

◆ setElement_R()

◆ setElement_R0()

◆ setRow_Bjac()

◆ setRow_Cjac()

◆ setRow_D()

◆ setRow_R()

◆ setRow_R0()

Member Data Documentation

◆ m_Bjac

◆ m_Cjac

◆ m_D

◆ m_invBjac

◆ m_R

◆ m_R0

template<typename MatrixT>
class capd::geomset::MatrixDoubletonSet< MatrixT >