Agglomerated wavelet space. More...

#include <space.hh>

Inheritance diagram for aglowav2::Haar3d0< F >:

Public Types
typedef Scan< Element< concepts::Real > >	Scanner

typedef Element< concepts::Real >	type

Public Member Functions
Haar3d0BFSScan< F > *	bfsscan () const
	Scanner ("breadth" first search (1. parent, 2. children)) More...

virtual Haar3dBFSScan< concepts::Real > *	bfsscan () const=0
	Scanner ("breadth" first search (1. parent, 2. children)) More...

uint	d () const
	Order of vanishing moments. More...

Haar3d0DFSScan< F > *	dfsscan () const
	Scanner (depth first search (1. children, 2. parent)) More...

virtual Haar3dDFSScan< concepts::Real > *	dfsscan () const=0
	Scanner (depth first search (1. children, 2. parent)) More...

uint	dim () const
	Dimension of the space. More...

virtual uint	dim () const=0
	Returns the dimension of the space. More...

virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space. More...

	Haar3d0 (cluster::Tree< cluster::Cluster< F > > &tree, uint d=0)
	Constructor. More...

uint	maxLocDim () const
	Maximal local dimension. More...

virtual uint	maxLocDim () const=0
	Maximal number of children of an element. More...

uint	nelm () const
	Number of elements. More...

virtual uint	nelm () const=0
	Returns the number of elements in the space. More...

uint	nlvl () const
	Maximal number of levels. More...

virtual uint	nlvl () const=0
	Maximal number of levels. More...

Haar3d0BFSScan< F > *	scan () const
	Scanner (same as bfsscan()) More...

virtual Scanner *	scan () const=0
	Returns a scanner to iterate over the elements of the space. More...

concepts::Real	size () const
	Smallest size of a cell. More...

const concepts::Space< F > &	space () const
	One scale space. More...

uint	sumLocDim () const
	Sum of the local dimensions. More...

virtual	~Haar3d0 ()
	Destructor. More...

Protected Member Functions
std::ostream &	info (std::ostream &os) const
	Information about the space. More...

Private Member Functions
void	constructor_ (const cluster::Cluster< F > clst, uint lvl, Haar3d000< F > Chld, Haar3d000< F > Curchld, uint nChld, const bem::Constant3d002< F > *Elm, uint nElm, concepts::Real At, uint nAt)
	Constructor for recursive calls. More...

void	destructor_ (Haar3d000< F > *elm)
	Destructor for recursive calls. More...

void	keyset_ (Haar3d000< F > *elm, uint lvl, uint gamma)
	Sets the key and gamma of each element correctly. More...

void	moments_ (const bem::Constant3d002< F > &elm, concepts::Real *mnts)
	Computes the moments up to order d (normed basis functions are assumed) More...

Private Attributes
concepts::Real *	At_

uint *	bc_
	Binomial coefficients (used only in the constructor) More...

uint	d_
	Order of vanishing moments. More...

uint	dim_
	Space dimension. More...

Haar3d000< F > *	elm_
	Root of the wavelet tree. More...

uint *	idx_

uint *	j_
	Auxiliary vectors for the keys of the elements and the DoF's. More...

const bem::Constant3d002< F > **	locelm_
	Auxiliary vectors for local elements (used only in the constructor) More...

uint	maxLocDim_
	Maximal local dimension. More...

uint	nelm_
	Number of space elements. More...

uint	nlvl_
	Maximal number of levels. More...

concepts::Real *	S_
	Auxiliary vectors for the SVD (used only in the constructor) s_ Singular values ut_ Local transformation matrix and from the SVD of at_ Moment matrix work_ Vector used by Lapack. More...

uint	sLocDim_
	Sum of the local dimensions. More...

const concepts::Space< F > &	spc_
	One scale space. More...

concepts::Real	sz_
	Smallest size of a cell. More...

concepts::Real *	Ut_

concepts::Real *	v0x_
	Auxiliary vectors for the computation of the moments (used only in the constructor. More...

concepts::Real *	v0y_

concepts::Real *	v0z_

concepts::Real *	work_

concepts::Real *	x_

concepts::Real *	y_

concepts::Real *	z_

Static Private Attributes
static const concepts::Real	EPS_
	Threshold for singular values. More...

static const uint	MAXLOCDIM_
	Maximal dimension of local transformation matrix. More...

Detailed Description

template<class F = concepts::Real>
class aglowav2::Haar3d0< F >

Agglomerated wavelet space.

Parameters

F	Field (Real \|\| Cmplx)

Definition at line 153 of file space.hh.

Member Typedef Documentation

◆ Scanner

typedef Scan<Element<concepts::Real > > concepts::Space< concepts::Real >::Scanner

inherited

Definition at line 47 of file space.hh.

◆ type

typedef Element<concepts::Real > concepts::Space< concepts::Real >::type

inherited

Definition at line 46 of file space.hh.

Constructor & Destructor Documentation

◆ Haar3d0()

template<class F = concepts::Real>

aglowav2::Haar3d0< F >::Haar3d0	(	cluster::Tree< cluster::Cluster< F > > &	tree,
		uint	d = `0`
	)

Constructor.

Parameters

tree	Cluster tree
d	Order of vanishing moments $\int \psi(x) x^\alpha ds_x = 0 \quad \forall \alpha \in \mathbb{N}_0^3, \quad \|\alpha\|\leq d$

◆ ~Haar3d0()

template<class F = concepts::Real>

virtual aglowav2::Haar3d0< F >::~Haar3d0 ( )

inlinevirtual

Destructor.

Definition at line 163 of file space.hh.

Member Function Documentation

◆ bfsscan() [1/2]

template<class F >

Haar3d0BFSScan< F > * aglowav2::Haar3d0< F >::bfsscan

inline

Scanner ("breadth" first search (1. parent, 2. children))

Definition at line 278 of file space.hh.

◆ bfsscan() [2/2]

virtual Haar3dBFSScan<concepts::Real >* aglowav2::Haar3d< concepts::Real >::bfsscan

pure virtualinherited

Scanner ("breadth" first search (1. parent, 2. children))

Implemented in aglowav2::Haar3d0< concepts::Real >.

◆ constructor_()

template<class F = concepts::Real>

void aglowav2::Haar3d0< F >::constructor_	(	const cluster::Cluster< F > *	clst,
		uint	lvl,
		Haar3d000< F > **	Chld,
		Haar3d000< F > **	Curchld,
		uint *	nChld,
		const bem::Constant3d002< F > **	Elm,
		uint *	nElm,
		concepts::Real *	At,
		uint *	nAt
	)

private

Constructor for recursive calls.

Parameters

clst	Cluster in the cluster tree
lvl	Level
Chld	Child pointer of father element (in- and output)
Curchld	Pointer of father on the last child (in- and output)
Elm	Space for local element list
nElm	Number of elements (in- and output)
At	Moment matrix (output)
nAt	Number of columns in At (in- and output)

◆ d()

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::d ( ) const

inline

Order of vanishing moments.

Definition at line 172 of file space.hh.

◆ destructor_()

template<class F = concepts::Real>

void aglowav2::Haar3d0< F >::destructor_ ( Haar3d000< F > * elm )

private

Destructor for recursive calls.

◆ dfsscan() [1/2]

template<class F >

Haar3d0DFSScan< F > * aglowav2::Haar3d0< F >::dfsscan

inline

Scanner (depth first search (1. children, 2. parent))

Definition at line 273 of file space.hh.

◆ dfsscan() [2/2]

virtual Haar3dDFSScan<concepts::Real >* aglowav2::Haar3d< concepts::Real >::dfsscan

pure virtualinherited

Scanner (depth first search (1. children, 2. parent))

Implemented in aglowav2::Haar3d0< concepts::Real >.

◆ dim() [1/2]

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::dim ( ) const

inline

Dimension of the space.

Definition at line 166 of file space.hh.

◆ dim() [2/2]

virtual uint concepts::Space< concepts::Real >::dim ( ) const

pure virtualinherited

Returns the dimension of the space.

Implemented in concepts::SpaceOnCells< concepts::Real >, concepts::DummySpace< concepts::Real >, aglowav2::Haar3d0< concepts::Real >, aglowav::BiHaar3d< concepts::Real >, bem::AdaptConst3d002< F >, bem::AdaptConst3d001< F >, and bem::AdaptConst3d000< F >.

◆ getOutputDimension()

virtual uint concepts::Space< concepts::Real >::getOutputDimension ( ) const

inlinevirtualinherited

Returns the default output dimension, when we consider plotting a real-valued operator on this space.

Definition at line 50 of file space.hh.

◆ info()

template<class F >

std::ostream & aglowav2::Haar3d0< F >::info ( std::ostream & os ) const

protectedvirtual

Information about the space.

Reimplemented from concepts::Space< concepts::Real >.

Definition at line 288 of file space.hh.

◆ keyset_()

template<class F = concepts::Real>

void aglowav2::Haar3d0< F >::keyset_	(	Haar3d000< F > *	elm,
		uint	lvl,
		uint	gamma
	)

private

Sets the key and gamma of each element correctly.

◆ maxLocDim() [1/2]

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::maxLocDim ( ) const

inline

Maximal local dimension.

Definition at line 174 of file space.hh.

◆ maxLocDim() [2/2]

virtual uint aglowav2::Haar3d< concepts::Real >::maxLocDim

pure virtualinherited

Maximal number of children of an element.

Implemented in aglowav2::Haar3d0< concepts::Real >.

◆ moments_()

template<class F = concepts::Real>

void aglowav2::Haar3d0< F >::moments_	(	const bem::Constant3d002< F > &	elm,
		concepts::Real *	mnts
	)

private

Computes the moments up to order d (normed basis functions are assumed)

Parameters

elm	Element
mnts	Moments up to order d_ (output, array of size (d_+1)(d_+2)(d_+3)/6)

◆ nelm() [1/2]

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nelm ( ) const

inline

Number of elements.

Definition at line 168 of file space.hh.

◆ nelm() [2/2]

virtual uint concepts::Space< concepts::Real >::nelm ( ) const

pure virtualinherited

Returns the number of elements in the space.

Implemented in concepts::SpaceOnCells< concepts::Real >, concepts::DummySpace< concepts::Real >, aglowav2::Haar3d0< concepts::Real >, aglowav::BiHaar3d< concepts::Real >, bem::AdaptConst3d002< F >, bem::AdaptConst3d001< F >, and bem::AdaptConst3d000< F >.

◆ nlvl() [1/2]

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nlvl ( ) const

inline

Maximal number of levels.

Definition at line 170 of file space.hh.

◆ nlvl() [2/2]

virtual uint aglowav2::Haar3d< concepts::Real >::nlvl

pure virtualinherited

Maximal number of levels.

Implemented in aglowav2::Haar3d0< concepts::Real >.

◆ scan() [1/2]

template<class F >

Haar3d0BFSScan< F > * aglowav2::Haar3d0< F >::scan

inline

Scanner (same as bfsscan())

Definition at line 283 of file space.hh.

◆ scan() [2/2]

virtual Scanner* concepts::Space< concepts::Real >::scan ( ) const

pure virtualinherited

Returns a scanner to iterate over the elements of the space.

Implemented in concepts::SpaceOnCells< concepts::Real >, concepts::DummySpace< concepts::Real >, aglowav2::Haar3d0< concepts::Real >, aglowav::BiHaar3d< concepts::Real >, bem::AdaptConst3d002< F >, bem::AdaptConst3d001< F >, and bem::AdaptConst3d000< F >.

◆ size()

template<class F = concepts::Real>

concepts::Real aglowav2::Haar3d0< F >::size ( ) const

inline

Smallest size of a cell.

Definition at line 178 of file space.hh.

◆ space()

template<class F = concepts::Real>

const concepts::Space<F>& aglowav2::Haar3d0< F >::space ( ) const

inline

One scale space.

Definition at line 180 of file space.hh.

◆ sumLocDim()

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::sumLocDim ( ) const

inline

Sum of the local dimensions.

Definition at line 176 of file space.hh.

Member Data Documentation

◆ At_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::At_

private

Definition at line 262 of file space.hh.

◆ bc_

template<class F = concepts::Real>

uint* aglowav2::Haar3d0< F >::bc_

private

Binomial coefficients (used only in the constructor)

Definition at line 251 of file space.hh.

◆ d_

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::d_

private

Order of vanishing moments.

Definition at line 230 of file space.hh.

◆ dim_

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::dim_

private

Space dimension.

Definition at line 224 of file space.hh.

◆ elm_

template<class F = concepts::Real>

Haar3d000<F>* aglowav2::Haar3d0< F >::elm_

private

Root of the wavelet tree.

Definition at line 238 of file space.hh.

◆ EPS_

template<class F = concepts::Real>

const concepts::Real aglowav2::Haar3d0< F >::EPS_

staticprivate

Threshold for singular values.

Definition at line 269 of file space.hh.

◆ idx_

template<class F = concepts::Real>

uint * aglowav2::Haar3d0< F >::idx_

private

Definition at line 243 of file space.hh.

◆ j_

template<class F = concepts::Real>

uint* aglowav2::Haar3d0< F >::j_

private

Auxiliary vectors for the keys of the elements and the DoF's.

Definition at line 243 of file space.hh.

◆ locelm_

template<class F = concepts::Real>

const bem::Constant3d002<F>** aglowav2::Haar3d0< F >::locelm_

private

Auxiliary vectors for local elements (used only in the constructor)

Definition at line 254 of file space.hh.

◆ maxLocDim_

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::maxLocDim_

private

Maximal local dimension.

Definition at line 232 of file space.hh.

◆ MAXLOCDIM_

template<class F = concepts::Real>

const uint aglowav2::Haar3d0< F >::MAXLOCDIM_

staticprivate

Maximal dimension of local transformation matrix.

Used only for memory allocation.

Definition at line 267 of file space.hh.

◆ nelm_

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nelm_

private

Number of space elements.

Definition at line 226 of file space.hh.

◆ nlvl_

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nlvl_

private

Maximal number of levels.

Definition at line 228 of file space.hh.

◆ S_

template<class F = concepts::Real>

concepts::Real* aglowav2::Haar3d0< F >::S_

private

Auxiliary vectors for the SVD (used only in the constructor) s_ Singular values ut_ Local transformation matrix and from the SVD of at_ Moment matrix work_ Vector used by Lapack.

Definition at line 262 of file space.hh.

◆ sLocDim_

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::sLocDim_

private

Sum of the local dimensions.

Definition at line 234 of file space.hh.

◆ spc_

template<class F = concepts::Real>

const concepts::Space<F>& aglowav2::Haar3d0< F >::spc_

private

One scale space.

Definition at line 240 of file space.hh.

◆ sz_

template<class F = concepts::Real>

concepts::Real aglowav2::Haar3d0< F >::sz_

private

Smallest size of a cell.

Definition at line 236 of file space.hh.

◆ Ut_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::Ut_

private

Definition at line 262 of file space.hh.

◆ v0x_

template<class F = concepts::Real>

concepts::Real* aglowav2::Haar3d0< F >::v0x_

private

Auxiliary vectors for the computation of the moments (used only in the constructor.

Definition at line 248 of file space.hh.

◆ v0y_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::v0y_

private

Definition at line 248 of file space.hh.

◆ v0z_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::v0z_

private

Definition at line 248 of file space.hh.

◆ work_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::work_

private

Definition at line 262 of file space.hh.

◆ x_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::x_

private

Definition at line 248 of file space.hh.

◆ y_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::y_

private

Definition at line 248 of file space.hh.

◆ z_

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::z_

private

Definition at line 248 of file space.hh.

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

aglowav2/space.hh

aglowav2::Haar3d0< F > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Static Private Attributes

Detailed Description

template<class F = concepts::Real> class aglowav2::Haar3d0< F >

Member Typedef Documentation

◆ Scanner

◆ type

Constructor & Destructor Documentation

◆ Haar3d0()

◆ ~Haar3d0()

Member Function Documentation

◆ bfsscan() [1/2]

◆ bfsscan() [2/2]

◆ constructor_()

◆ d()

◆ destructor_()

◆ dfsscan() [1/2]

◆ dfsscan() [2/2]

◆ dim() [1/2]

◆ dim() [2/2]

◆ getOutputDimension()

◆ info()

◆ keyset_()

◆ maxLocDim() [1/2]

◆ maxLocDim() [2/2]

◆ moments_()

◆ nelm() [1/2]

◆ nelm() [2/2]

◆ nlvl() [1/2]

◆ nlvl() [2/2]

◆ scan() [1/2]

◆ scan() [2/2]

◆ size()

◆ space()

◆ sumLocDim()

Member Data Documentation

◆ At_

◆ bc_

◆ d_

◆ dim_

◆ elm_

◆ EPS_

◆ idx_

◆ j_

◆ locelm_

◆ maxLocDim_

◆ MAXLOCDIM_

◆ nelm_

◆ nlvl_

◆ S_

◆ sLocDim_

◆ spc_

◆ sz_

◆ Ut_

◆ v0x_

◆ v0y_

◆ v0z_

◆ work_

◆ x_

◆ y_

◆ z_

template<class F = concepts::Real>
class aglowav2::Haar3d0< F >