Bilinear form for the stiffness matrix compression with aglomerated wavelets. More...

#include <bform.hh>

Inheritance diagram for aglowav2::AglowavBF00< F >:

Classes
struct	Cell
	Entry in the cache to compute wavelet entries. More...

struct	Nfld
	Structure to hold the one scale near field one each level. More...

Public Member Functions
	AglowavBF00 (concepts::BilinearForm< F > &bf, F00< F > &XFY)
	Constructor. More...

virtual BilinearForm *	clone () const=0
	Virtual constructor. More...

uint	memory () const

void	operator() (const concepts::Element< F > &elmX, const concepts::Element< F > &elmY, concepts::ElementMatrix< F > &em)

virtual void	operator() (const Element< typename Realtype< concepts::Real >::type > &elmX, const Element< typename Realtype< concepts::Real >::type > &elmY, ElementMatrix< concepts::Real > &em) const=0
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`. More...

virtual void	operator() (const Element< typename Realtype< concepts::Real >::type > &elmX, const Element< typename Realtype< concepts::Real >::type > &elmY, ElementMatrix< concepts::Real > &em, const ElementPair< typename Realtype< concepts::Real >::type > &ep) const
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`. More...

void	operator() (const Haar3d000< F > &elmX, const Haar3d000< F > &elmY, concepts::ElementMatrix< F > &em)

	~AglowavBF00 ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

Private Types
typedef struct aglowav2::AglowavBF00::Nfld	Nfld
	Structure to hold the one scale near field one each level. More...

Private Member Functions
virtual AglowavBF00 *	clone () const
	Virtual constructor. More...

void	nearfield_ (const Haar3d000< F > &elmX, const Haar3d000< F > &elmY, F valXY, uint ldXY, F valYX, uint ldYX)
	Computation of the one scale near field on each level (used by the constructor). More...

void	updateChld_ (const Haar3d000< F > &tst, const Haar3d000< F > &trl, F valtsttrl, uint ldtsttrl, F valtrltst, uint ldtrltst)
	Computation of one scale entries. More...

void	updateElm_ (const Haar3d000< F > &tst, const Haar3d000< F > &trl, F valtsttrl, uint ldtsttrl, F valtrltst, uint ldtrltst)
	Computation of one scale entries. More...

Private Attributes
concepts::BilinearForm< F > &	bf_
	Bilinear form to compute the one scale matrix entries. More...

Cell *	buf_
	Buffer to store wavelet entries "for a short time". More...

Cell *	cache_
	Cache to store wavelet entries for later usage. More...

F *	foo_

uint	mem_
	memory More...

Nfld **	nfld_
	Array to hold the near field for each element. More...

Nfld ***	nfldLast_
	Array to hold pointers to the last list entry of the near field (used only by nearfield_) More...

bool	reuse_
	Entry reused and thus saved in cache_ otherwise stored in buf_. More...

F *	valXY_
	Auxiliary vectors to hold intermediate values. More...

F *	valYX_

F *	vXY_

F *	vYX_

F00< F > &	XFY_
	Cluster approximation of the far field. More...

Detailed Description

template<class F = concepts::Real>
class aglowav2::AglowavBF00< F >

Bilinear form for the stiffness matrix compression with aglomerated wavelets.

After computation of the compressed stiffness matrix delete this bilinear form to free the memory used by the one scale near field. Unsymmetric kernels are allowed by the sparsity pattern (Delta) has to be symmetric. Symmetry of the kernel is not exploited.

Parameters

F	Field (Real or Cmplx)

Definition at line 29 of file bform.hh.

Member Typedef Documentation

◆ Nfld

template<class F = concepts::Real>

typedef struct aglowav2::AglowavBF00::Nfld aglowav2::AglowavBF00< F >::Nfld

private

Structure to hold the one scale near field one each level.

Constructor & Destructor Documentation

◆ AglowavBF00()

template<class F = concepts::Real>

aglowav2::AglowavBF00< F >::AglowavBF00	(	concepts::BilinearForm< F > &	bf,
		F00< F > &	XFY
	)

Constructor.

Computation of the one scale near field on each level.

Parameters

bf	Bilinear form to compute the one scale matrix entries.
XFY	Cluster approximation of the far field.

◆ ~AglowavBF00()

template<class F = concepts::Real>

aglowav2::AglowavBF00< F >::~AglowavBF00 ( )

Member Function Documentation

◆ clone() [1/2]

template<class F = concepts::Real>

virtual AglowavBF00* aglowav2::AglowavBF00< F >::clone ( ) const

inlineprivatevirtual

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

Implements concepts::Cloneable.

Definition at line 53 of file bform.hh.

◆ clone() [2/2]

virtual BilinearForm* concepts::BilinearForm< concepts::Real , typename Realtype<concepts::Real >::type >::clone

pure virtualinherited

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

◆ info()

virtual std::ostream& concepts::BilinearForm< concepts::Real , typename Realtype<concepts::Real >::type >::info ( std::ostream & os ) const

protectedvirtualinherited

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

◆ memory()

template<class F = concepts::Real>

uint aglowav2::AglowavBF00< F >::memory ( ) const

inline

Definition at line 69 of file bform.hh.

◆ nearfield_()

template<class F = concepts::Real>

void aglowav2::AglowavBF00< F >::nearfield_	(	const Haar3d000< F > &	elmX,
		const Haar3d000< F > &	elmY,
		F *	valXY,
		uint	ldXY,
		F *	valYX,
		uint	ldYX
	)

private

Computation of the one scale near field on each level (used by the constructor).

Call only for elmX.key() >= elmY.key() !!!

Parameters

elmX	Space element
elmY	Space element
valXY	Near field of the $\phi$ of elmX with elmY (row wise)
ldXY	Leading dimension of valXY
valYX	Near field of the $\phi$ of elmY with elmX (row wise)
ldYX	Leading dimension of valYX

◆ operator()() [1/4]

template<class F = concepts::Real>

void aglowav2::AglowavBF00< F >::operator()	(	const concepts::Element< F > &	elmX,
		const concepts::Element< F > &	elmY,
		concepts::ElementMatrix< F > &	em
	)

◆ operator()() [2/4]

virtual void concepts::BilinearForm< concepts::Real , typename Realtype<concepts::Real >::type >::operator()	(	const Element< typename Realtype<concepts::Real >::type > &	elmX,
		const Element< typename Realtype<concepts::Real >::type > &	elmY,
		ElementMatrix< concepts::Real > &	em
	)		const

pure virtualinherited

Evaluates the bilinear form for all shape functions on elmX and elmY and stores the result in the matrix em.

Postcondition: The returned matrix em has the correct size.

Parameters

elmX	Left element (test functions)
elmY	Right element (trial functions)
em	Return element matrix

◆ operator()() [3/4]

virtual void concepts::BilinearForm< concepts::Real , typename Realtype<concepts::Real >::type >::operator()	(	const Element< typename Realtype<concepts::Real >::type > &	elmX,
		const Element< typename Realtype<concepts::Real >::type > &	elmY,
		ElementMatrix< concepts::Real > &	em,
		const ElementPair< typename Realtype<concepts::Real >::type > &	ep
	)		const

inlinevirtualinherited

Evaluates the bilinear form for all shape functions on elmX and elmY and stores the result in the matrix em.

If this method is not reimplemented in a derived class, the default behaviour is to call the application operator without ep.

Postcondition: The returned matrix em has the correct size.

Parameters

elmX	Left element
elmY	Right element
em	Return element matrix
ep	Element pair holding more information on the pair `elmX` and `elmY`

Definition at line 57 of file bilinearForm.hh.

◆ operator()() [4/4]

template<class F = concepts::Real>

void aglowav2::AglowavBF00< F >::operator()	(	const Haar3d000< F > &	elmX,
		const Haar3d000< F > &	elmY,
		concepts::ElementMatrix< F > &	em
	)

◆ updateChld_()

template<class F = concepts::Real>

void aglowav2::AglowavBF00< F >::updateChld_	(	const Haar3d000< F > &	tst,
		const Haar3d000< F > &	trl,
		F *	valtsttrl,
		uint	ldtsttrl,
		F *	valtrltst,
		uint	ldtrltst
	)

private

Computation of one scale entries.

Call only for tst.key() >= trl.key() !!!

Parameters

tst	Test element
trl	Trial element
valtsttrl	One scale entries of tst with trl (row wise)
ldtsttrl	Leading dimension of valtsttrl
valtrltst	One scale entries of trl with tst (row wise)
ldtrltst	Leading dimension of valtrltst

◆ updateElm_()

template<class F = concepts::Real>

void aglowav2::AglowavBF00< F >::updateElm_	(	const Haar3d000< F > &	tst,
		const Haar3d000< F > &	trl,
		F *	valtsttrl,
		uint	ldtsttrl,
		F *	valtrltst,
		uint	ldtrltst
	)

private

Computation of one scale entries.

On trl only the elements are considered.

Parameters

tst	Test element
trl	Trial element
valtsttrl	One scale entries of tst with trl elements (row wise)
ldtsttrl	Leading dimension of valtsttrl
valtrltst	One scale entries of trl elements with tst (row wise)
ldtrltst	Leading dimension of valtrltst

Member Data Documentation

◆ bf_

template<class F = concepts::Real>

concepts::BilinearForm<F>& aglowav2::AglowavBF00< F >::bf_

private

Bilinear form to compute the one scale matrix entries.

Definition at line 109 of file bform.hh.

◆ buf_

template<class F = concepts::Real>

Cell* aglowav2::AglowavBF00< F >::buf_

private

Buffer to store wavelet entries "for a short time".

Definition at line 132 of file bform.hh.

◆ cache_

template<class F = concepts::Real>

Cell* aglowav2::AglowavBF00< F >::cache_

private

Cache to store wavelet entries for later usage.

Definition at line 130 of file bform.hh.

◆ foo_

template<class F = concepts::Real>

F* aglowav2::AglowavBF00< F >::foo_

private

Definition at line 127 of file bform.hh.

◆ mem_

template<class F = concepts::Real>

uint aglowav2::AglowavBF00< F >::mem_

private

memory

Definition at line 115 of file bform.hh.

◆ nfld_

template<class F = concepts::Real>

Nfld** aglowav2::AglowavBF00< F >::nfld_

private

Array to hold the near field for each element.

Definition at line 113 of file bform.hh.

◆ nfldLast_

template<class F = concepts::Real>

Nfld*** aglowav2::AglowavBF00< F >::nfldLast_

private

Array to hold pointers to the last list entry of the near field (used only by nearfield_)

Definition at line 120 of file bform.hh.

◆ reuse_

template<class F = concepts::Real>

bool aglowav2::AglowavBF00< F >::reuse_

private

Entry reused and thus saved in cache_ otherwise stored in buf_.

Definition at line 134 of file bform.hh.

◆ valXY_

template<class F = concepts::Real>

F* aglowav2::AglowavBF00< F >::valXY_

private

Auxiliary vectors to hold intermediate values.

Definition at line 123 of file bform.hh.

◆ valYX_

template<class F = concepts::Real>

F* aglowav2::AglowavBF00< F >::valYX_

private

Definition at line 125 of file bform.hh.

◆ vXY_

template<class F = concepts::Real>

F* aglowav2::AglowavBF00< F >::vXY_

private

Definition at line 124 of file bform.hh.

◆ vYX_

template<class F = concepts::Real>

F* aglowav2::AglowavBF00< F >::vYX_

private

Definition at line 126 of file bform.hh.

◆ XFY_

template<class F = concepts::Real>

F00<F>& aglowav2::AglowavBF00< F >::XFY_

private

Cluster approximation of the far field.

Definition at line 111 of file bform.hh.

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

aglowav2/bform.hh

aglowav2::AglowavBF00< F > Class Template Referenceabstract

Classes

Public Member Functions

Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Detailed Description

template<class F = concepts::Real> class aglowav2::AglowavBF00< F >

Member Typedef Documentation

◆ Nfld

Constructor & Destructor Documentation

◆ AglowavBF00()

◆ ~AglowavBF00()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ info()

◆ memory()

◆ nearfield_()

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

◆ updateChld_()

◆ updateElm_()

Member Data Documentation

◆ bf_

◆ buf_

◆ cache_

◆ foo_

◆ mem_

◆ nfld_

◆ nfldLast_

◆ reuse_

◆ valXY_

◆ valYX_

◆ vXY_

◆ vYX_

◆ XFY_

template<class F = concepts::Real>
class aglowav2::AglowavBF00< F >