Dense matrix. More...

#include <compositions.hh>

Public Types
typedef Cmplxtype< F >::type	c_type
	Complex type of data type. More...

typedef std::conditional< std::is_same< typename Realtype< F >::type, F >::value, typename Realtype< F >::type, typename Cmplxtype< F >::type >::type	d_type
	Data type, depending if F is real or complex. More...

typedef Realtype< F >::type	r_type
	Real type of data type. More...

Public Member Functions
void	addInto (Matrix< F > &dest, const F fact, const uint rowoffset=0, const uint coloffset=0) const
	This matrix is added into to the given matrix. More...

template<class T >
void	addInto (Matrix< T > &dest, const T fact, const uint rowoffset=0, const uint coloffset=0) const
	allows to add a Real Matrix to a complex one. More...

template<class T >
void	addIntoT (Matrix< T > &dest, const T fact, const uint rowoffset=0, const uint coloffset=0) const
	allows to add a Real Matrix to a complex one. More...

	DenseMatrix (const Compose< F > &L)
	Constructor. More...

	DenseMatrix (const DenseMatrix< F > &m)
	Copy constructor. More...

	DenseMatrix (const LiCo< F > &L)
	Constructor. More...

	DenseMatrix (const Matrix< F > &m, bool t=false)
	Copy constructor. More...

template<class G >
	DenseMatrix (const Space< G > &spc, const BilinearForm< F, G > &bf)
	Constructor. More...

template<class G >
	DenseMatrix (const Space< G > &spc, const BilinearForm< F, G > &bf, const Sequence< ElementWithCell< G > * > &seq)
	Constructor. More...

template<class G >
	DenseMatrix (const Space< G > &spcX, const Space< G > &spcY)
	Constructor for an empty matrix. More...

template<class G >
	DenseMatrix (const Space< G > &spcX, const Space< G > &spcY, const BilinearForm< F, G > &bf, const bool single=true)
	Constructor. More...

	DenseMatrix (const Vector< F > &v, bool t=false)
	Transformation constructor from a vector of length n. More...

	DenseMatrix (int m=0, int n=0, bool transpose=false)
	Constructor for an empty matrix. More...

virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)

virtual void	operator() (const Function< r_type > &fncY, Function< F > &fncX)

virtual F &	operator() (const uint i, const uint j)

virtual F	operator() (const uint i, const uint j) const

template<class H , class I >
void	operator() (const Vector< H > &fncY, Vector< I > &fncX)

virtual DenseMatrix< F > &	operator= (const F &v)

virtual void	resize (uint m, uint n)
	Resize to `m` rows and `n` columns. More...

virtual void	setTranspose (bool t)

virtual void	transpMult (const Vector< c_type > &fncY, Vector< c_type > &fncX)

virtual void	transpMult (const Vector< r_type > &fncY, Vector< F > &fncX)

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Detailed Description

template<class F>
class concepts::DenseMatrix< F >

Dense matrix.

The matrix has the size $m \times n$ where m is the dimension of the image space (spaceX) and n is the dimension of the source space (spaceY).

The matrix is setup and assembled in the constructor. It calls the bilinear form on every element of the space and uses the T matrices of the elements to assemble the element matrices into the global matrix.

There are quite a few solver which can be used to solve the system.

See also: TMatrixBase; CG; GMRes

Examples: hpFEM2d.cc, and matfileTutorial.cc.

Definition at line 28 of file compositions.hh.

Member Typedef Documentation

◆ c_type

template<class F >

typedef Cmplxtype<F>::type concepts::DenseMatrix< F >::c_type

Complex type of data type.

Definition at line 49 of file denseMatrix.hh.

◆ d_type

template<class F >

typedef std::conditional<std::is_same<typename Realtype<F>::type, F>::value , typename Realtype<F>::type, typename Cmplxtype<F>::type >::type concepts::DenseMatrix< F >::d_type

Data type, depending if F is real or complex.

Definition at line 52 of file denseMatrix.hh.

◆ r_type

template<class F >

typedef Realtype<F>::type concepts::DenseMatrix< F >::r_type

Real type of data type.

Definition at line 47 of file denseMatrix.hh.

Constructor & Destructor Documentation

◆ DenseMatrix() [1/10]

template<class F >

template<class G >

concepts::DenseMatrix< F >::DenseMatrix	(	const Space< G > &	spcX,
		const Space< G > &	spcY,
		const BilinearForm< F, G > &	bf,
		const bool	single = `true`
	)

Constructor.

Computes the global matrix by assembling the element matrices.

This constructor features a double loop over the elements of the image and the source space. On each combination, the bilinear form is called.

Using this constructor, if spcX != spcY or if you have local matrices which express the interaction of the two elements. You can force this constructor to execute the double loop in such a way that only for diagonal combinations of the elements in both space the integration and assembling is executed. Use single and set it to true.

In non-symmetric FEM (eg. DGFEM), one has to solve A^T u = f. This constructor computes A and not A^T.

Parameters

spcX	Image space
spcY	Source space
bf	Bilinear form

◆ DenseMatrix() [2/10]

template<class F >

template<class G >

concepts::DenseMatrix< F >::DenseMatrix	(	const Space< G > &	spc,
		const BilinearForm< F, G > &	bf
	)

Constructor.

Computes the global matrix by assembling the element matrices.

This constructor features a single loop over the elements of the space. On each element, the bilinear form is called.

Use the constructor, if spcX == spcY and there is no special element interaction. This is the case for standard FEM.

Parameters

spc	Image and source space
bf	Bilinear form

◆ DenseMatrix() [3/10]

template<class F >

template<class G >

concepts::DenseMatrix< F >::DenseMatrix	(	const Space< G > &	spc,
		const BilinearForm< F, G > &	bf,
		const Sequence< ElementWithCell< G > * > &	seq
	)

Constructor.

Computes the partial matrix by assembling the element matrices on a given subdomain

This constructor features a single loop over the elements of the sequence. On each element, the bilinear form is called.

Parameters

spc	Image and source space
bf	Bilinear form
seq	Sequence of elements to take into account

◆ DenseMatrix() [4/10]

template<class F >

template<class G >

concepts::DenseMatrix< F >::DenseMatrix	(	const Space< G > &	spcX,
		const Space< G > &	spcY
	)

Constructor for an empty matrix.

Parameters

spcX	Image space
spcY	Source space

◆ DenseMatrix() [5/10]

template<class F >

concepts::DenseMatrix< F >::DenseMatrix	(	int	m = `0`,
		int	n = `0`,
		bool	transpose = `false`
	)

inline

Constructor for an empty matrix.

Parameters

m	Number of rows
n	Number of columns
transpose	The matrix will be stored in transposed format

Definition at line 121 of file denseMatrix.hh.

◆ DenseMatrix() [6/10]

template<class F >

concepts::DenseMatrix< F >::DenseMatrix ( const LiCo< F > & L )

Constructor.

Evaluates a linear combination and stores the result in the matrix.

◆ DenseMatrix() [7/10]

template<class F >

concepts::DenseMatrix< F >::DenseMatrix ( const Compose< F > & L )

Constructor.

Evaluates a composition and stores the result in the matrix.

◆ DenseMatrix() [8/10]

template<class F >

concepts::DenseMatrix< F >::DenseMatrix ( const DenseMatrix< F > & m )

Copy constructor.

◆ DenseMatrix() [9/10]

template<class F >

concepts::DenseMatrix< F >::DenseMatrix	(	const Matrix< F > &	m,
		bool	t = `false`
	)

Copy constructor.

If t is set to true, the matrix is transposed during the copy process

◆ DenseMatrix() [10/10]

template<class F >

concepts::DenseMatrix< F >::DenseMatrix	(	const Vector< F > &	v,
		bool	t = `false`
	)

Transformation constructor from a vector of length n.

If t is set to true, the matrix is a 1xn, otherwise nx1.

Member Function Documentation

◆ addInto() [1/2]

template<class F >

void concepts::DenseMatrix< F >::addInto	(	Matrix< F > &	dest,
		const F	fact,
		const uint	rowoffset = `0`,
		const uint	coloffset = `0`
	)		const

This matrix is added into to the given matrix.

Parameters

dest	Matrix into which this matrix should be added.
fact	Factor by which this matrix should be multiplied.

Examples: hpFEM2d.cc.

◆ addInto() [2/2]

template<class F >

template<class T >

void concepts::DenseMatrix< F >::addInto	(	Matrix< T > &	dest,
		const T	fact,
		const uint	rowoffset = `0`,
		const uint	coloffset = `0`
	)		const

inline

allows to add a Real Matrix to a complex one.

Definition at line 196 of file denseMatrix.hh.

◆ addIntoT()

template<class F >

template<class T >

void concepts::DenseMatrix< F >::addIntoT	(	Matrix< T > &	dest,
		const T	fact,
		const uint	rowoffset = `0`,
		const uint	coloffset = `0`
	)		const

inline

allows to add a Real Matrix to a complex one.

Definition at line 212 of file denseMatrix.hh.

◆ info()

template<class F >

virtual std::ostream& concepts::DenseMatrix< F >::info ( std::ostream & os ) const

protectedvirtual

◆ operator()() [1/5]

template<class F >

virtual void concepts::DenseMatrix< F >::operator()	(	const Function< c_type > &	fncY,
		Function< c_type > &	fncX
	)

virtual

◆ operator()() [2/5]

template<class F >

virtual void concepts::DenseMatrix< F >::operator()	(	const Function< r_type > &	fncY,
		Function< F > &	fncX
	)

virtual

◆ operator()() [3/5]

template<class F >

virtual F& concepts::DenseMatrix< F >::operator()	(	const uint	i,
		const uint	j
	)

inlinevirtual

Definition at line 165 of file denseMatrix.hh.

◆ operator()() [4/5]

template<class F >

virtual F concepts::DenseMatrix< F >::operator()	(	const uint	i,
		const uint	j
	)		const

inlinevirtual

Definition at line 161 of file denseMatrix.hh.

◆ operator()() [5/5]

template<class F >

template<class H , class I >

void concepts::DenseMatrix< F >::operator()	(	const Vector< H > &	fncY,
		Vector< I > &	fncX
	)

Definition at line 231 of file denseMatrix.hh.

◆ operator=()

template<class F >

virtual DenseMatrix<F>& concepts::DenseMatrix< F >::operator= ( const F & v )

inlinevirtual

Definition at line 169 of file denseMatrix.hh.

◆ resize()

template<class F >

virtual void concepts::DenseMatrix< F >::resize	(	uint	m,
		uint	n
	)

inlinevirtual

Resize to m rows and n columns.

Be aware that data might be lost.

Definition at line 178 of file denseMatrix.hh.

◆ setTranspose()

template<class F >

virtual void concepts::DenseMatrix< F >::setTranspose ( bool t )

inlinevirtual

Definition at line 182 of file denseMatrix.hh.

◆ transpMult() [1/2]

template<class F >

virtual void concepts::DenseMatrix< F >::transpMult	(	const Vector< c_type > &	fncY,
		Vector< c_type > &	fncX
	)

virtual

◆ transpMult() [2/2]

template<class F >

virtual void concepts::DenseMatrix< F >::transpMult	(	const Vector< r_type > &	fncY,
		Vector< F > &	fncX
	)

virtual

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

operator/compositions.hh
operator/denseMatrix.hh

concepts::DenseMatrix< F > Class Template Reference

Public Types

Public Member Functions

Protected Member Functions

Detailed Description

template<class F> class concepts::DenseMatrix< F >

Member Typedef Documentation

◆ c_type

◆ d_type

◆ r_type

Constructor & Destructor Documentation

◆ DenseMatrix() [1/10]

◆ DenseMatrix() [2/10]

◆ DenseMatrix() [3/10]

◆ DenseMatrix() [4/10]

◆ DenseMatrix() [5/10]

◆ DenseMatrix() [6/10]

◆ DenseMatrix() [7/10]

◆ DenseMatrix() [8/10]

◆ DenseMatrix() [9/10]

◆ DenseMatrix() [10/10]

Member Function Documentation

◆ addInto() [1/2]

◆ addInto() [2/2]

◆ addIntoT()

◆ info()

◆ operator()() [1/5]

◆ operator()() [2/5]

◆ operator()() [3/5]

◆ operator()() [4/5]

◆ operator()() [5/5]

◆ operator=()

◆ resize()

◆ setTranspose()

◆ transpMult() [1/2]

◆ transpMult() [2/2]

template<class F>
class concepts::DenseMatrix< F >