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

#include <capd/geomset/MatrixAffineSet.h>

Public Types
typedef MatrixT	MatrixType

typedef MatrixType::RowVectorType	VectorType

typedef MatrixType::ColumnVectorType	ColumnVectorType

typedef MatrixType::ScalarType	ScalarType

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

typedef MatrixType::size_type	size_type

Public Member Functions
	MatrixAffineSet (size_type dim)
	A:=ID, R:=0, B:=Id. More...

	MatrixAffineSet (const MatrixType &A)
	A:=mid(v), B:=Id, R:=[-radius(v), radius(v)]. More...

	MatrixAffineSet (const MatrixType &D, bool)
	A:=A, B:=Id, R:=0. More...

	MatrixAffineSet (const MatrixType &D, const MatrixType &R)
	A:=A R:=R B:=Id. More...

	MatrixAffineSet (const MatrixType &D, const MatrixType &Bjac, const MatrixType &R)
	A:=A R:=R B:=B. More...

virtual	~MatrixAffineSet ()

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

MatrixType	m_invBjac

Detailed Description

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

Set of matrices represented as D + Bjac * R.

Set of matrices is represented as

$D + Bjac \cdot R$

where

the matrix D is a center,
the matrix Bjac is a coordinate system
the matrix R represents the set in a given coordinate system.

Member Typedef Documentation

◆ ColumnVectorType

template<typename MatrixT >

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

◆ MatrixType

template<typename MatrixT >

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

◆ NormType

template<typename MatrixT >

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

◆ ScalarType

template<typename MatrixT >

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

◆ size_type

template<typename MatrixT >

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

◆ VectorType

template<typename MatrixT >

typedef MatrixType::RowVectorType capd::geomset::MatrixAffineSet< MatrixT >::VectorType

Constructor & Destructor Documentation

◆ ~MatrixAffineSet()

template<typename MatrixT >

virtual capd::geomset::MatrixAffineSet< MatrixT >::~MatrixAffineSet ( )

inlinevirtual

Member Function Documentation

◆ get_Bjac()

template<typename MatrixT >

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

inline

◆ get_D()

template<typename MatrixT >

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

inline

◆ get_invBjac()

template<typename MatrixT >

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

inline

◆ get_R()

template<typename MatrixT >

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

inline

◆ getColumn_Bjac()

template<typename MatrixT >

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

inline

◆ getColumn_D()

template<typename MatrixT >

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

inline

◆ getColumn_R()

template<typename MatrixT >

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

inline

◆ getElement_D()

template<typename MatrixT >

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

inline

◆ getElement_R()

template<typename MatrixT >

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

inline

◆ getRow_Bjac()

template<typename MatrixT >

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

inline

◆ getRow_D()

template<typename MatrixT >

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

inline

◆ getRow_R()

template<typename MatrixT >

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

inline

◆ name()

template<typename MatrixT >

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

inlinevirtual

returns set's name

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 >, capd::geomset::MatrixDoubletonSet< MatrixT >, capd::geomset::MatrixDoubletonSet< GeometricBound::MatrixType >, capd::dynset::C1AffineSet< MatrixT, Policies >, and capd::dynset::C11Rect2Set< MatrixT >.

◆ operator MatrixType()

template<typename MatrixT >

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

return interval matrix containing all matrices in the set

◆ set_Bjac()

template<typename MatrixT >

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

inline

◆ set_D()

template<typename MatrixT >

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

inline

◆ set_R()

template<typename MatrixT >

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

inline

◆ setColumn_Bjac()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setColumn_Bjac	(	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
	)

inline

◆ setColumn_R()

template<typename MatrixT >

template<typename VectorT >

void capd::geomset::MatrixAffineSet< MatrixT >::setColumn_R	(	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
	)

inline

◆ setElement_D()

template<typename MatrixT >

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

inline

◆ setElement_R()

template<typename MatrixT >

void capd::geomset::MatrixAffineSet< MatrixT >::setElement_R	(	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
	)

inline

◆ setRow_D()

template<typename MatrixT >

template<typename VectorT >

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

inline

◆ setRow_R()

template<typename MatrixT >

template<typename VectorT >

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

inline

Member Data Documentation

◆ m_Bjac

template<typename MatrixT >

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

protected

Bjac is a coordinate system.

◆ m_D

template<typename MatrixT >

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

protected

D is a center of the set.

◆ m_invBjac

template<typename MatrixT >

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

protected

◆ m_R

template<typename MatrixT >

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

protected

R is a interval set in given coordinate system.

Public Types

Public Member Functions

Protected Attributes

Detailed Description

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

Member Typedef Documentation

◆ ColumnVectorType

◆ MatrixType

◆ NormType

◆ ScalarType

◆ size_type

◆ VectorType

Constructor & Destructor Documentation

◆ ~MatrixAffineSet()

Member Function Documentation

◆ get_Bjac()

◆ get_D()

◆ get_invBjac()

◆ get_R()

◆ getColumn_Bjac()

◆ getColumn_D()

◆ getColumn_R()

◆ getElement_Bjac()

◆ getElement_D()

◆ getElement_R()

◆ getRow_Bjac()

◆ getRow_D()

◆ getRow_R()

◆ name()

◆ operator MatrixType()

◆ set_Bjac()

◆ set_D()

◆ set_R()

◆ setColumn_Bjac()

◆ setColumn_D()

◆ setColumn_R()

◆ setElement_Bjac()

◆ setElement_D()

◆ setElement_R()

◆ setRow_Bjac()

◆ setRow_D()

◆ setRow_R()

Member Data Documentation

◆ m_Bjac

◆ m_D

◆ m_invBjac

◆ m_R

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