Agglomerated wavelet space. More...

#include <space.hh>

Inheritance diagram for aglowav2::Haar3d0< F >:

Collaboration diagram for aglowav2::Haar3d0< F >:

Public Types
typedef Scan< Element< F > >	Scanner
Public Member Functions
Haar3d0BFSScan< F > *	bfsscan () const
	Scanner ("breadth" first search (1. parent, 2. children))
uint	d () const
	Order of vanishing moments.
Haar3d0DFSScan< F > *	dfsscan () const
	Scanner (depth first search (1. children, 2. parent))
uint	dim () const
	Dimension of the space.
	Haar3d0 (cluster::Tree< cluster::Cluster< F > > &tree, uint d=0)
	Constructor.
uint	maxLocDim () const
	Maximal local dimension.
uint	nelm () const
	Number of elements.
uint	nlvl () const
	Maximal number of levels.
Haar3d0BFSScan< F > *	scan () const
	Scanner (same as bfsscan())
concepts::Real	size () const
	Smallest size of a cell.
const concepts::Space< F > &	space () const
	One scale space.
uint	sumLocDim () const
	Sum of the local dimensions.
virtual	~Haar3d0 ()
	Destructor.
Protected Member Functions
std::ostream &	info (std::ostream &os) const
	Information about the space.
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.
void	destructor_ (Haar3d000< F > *elm)
	Destructor for recursive calls.
void	keyset_ (Haar3d000< F > *elm, uint lvl, uint gamma)
	Sets the key and gamma of each element correctly.
void	moments_ (const bem::Constant3d002< F > &elm, concepts::Real *mnts)
	Computes the moments up to order d (normed basis functions are assumed)
Private Attributes
concepts::Real *	At_
uint *	bc_
	Binomial coefficients (used only in the constructor)
uint	d_
	Order of vanishing moments.
uint	dim_
	Space dimension.
Haar3d000< F > *	elm_
	Root of the wavelet tree.
uint *	idx_
uint *	j_
	Auxiliary vectors for the keys of the elements and the DoF's.
const bem::Constant3d002< F > **	locelm_
	Auxiliary vectors for local elements (used only in the constructor)
uint	maxLocDim_
	Maximal local dimension.
uint	nelm_
	Number of space elements.
uint	nlvl_
	Maximal number of levels.
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.
uint	sLocDim_
	Sum of the local dimensions.
const concepts::Space< F > &	spc_
	One scale space.
concepts::Real	sz_
	Smallest size of a cell.
concepts::Real *	Ut_
concepts::Real *	v0x_
	Auxiliary vectors for the computation of the moments (used only in the constructor.
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.
static const uint	MAXLOCDIM_
	Maximal dimension of local transformation matrix.

Detailed Description

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

Agglomerated wavelet space.

Parameters:

F	Field (Real \|\| Cmplx)

Definition at line 150 of file space.hh.

Member Typedef Documentation

template<class F>

typedef Scan<Element<F> > concepts::Space< F >::Scanner [inherited]

Reimplemented in linDG3D::FvdgSpace, concepts::SpaceOnCells< F >, vectorial::Space< F >, concepts::SpaceOnCells< Real >, and vectorial::Space< Real >.

Definition at line 44 of file space.hh.

Constructor & Destructor Documentation

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

template<class F = concepts::Real>

virtual aglowav2::Haar3d0< F >::~Haar3d0 ( ) [inline, virtual]

Destructor.

Definition at line 160 of file space.hh.

Here is the call graph for this function:

Member Function Documentation

template<class F >

Haar3d0BFSScan< F > * aglowav2::Haar3d0< F >::bfsscan ( ) const [inline, virtual]

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

Implements aglowav2::Haar3d< F >.

Definition at line 275 of file space.hh.

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)

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::d ( ) const [inline]

Order of vanishing moments.

Definition at line 169 of file space.hh.

template<class F = concepts::Real>

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

Destructor for recursive calls.

template<class F >

Haar3d0DFSScan< F > * aglowav2::Haar3d0< F >::dfsscan ( ) const [inline, virtual]

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

Implements aglowav2::Haar3d< F >.

Definition at line 270 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::dim ( ) const [inline, virtual]

Dimension of the space.

Implements concepts::Space< F >.

Definition at line 163 of file space.hh.

template<class F >

std::ostream & aglowav2::Haar3d0< F >::info ( std::ostream & os ) const [protected, virtual]

Information about the space.

Reimplemented from concepts::Space< F >.

Definition at line 285 of file space.hh.

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.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::maxLocDim ( ) const [inline, virtual]

Maximal local dimension.

Implements aglowav2::Haar3d< F >.

Definition at line 171 of file space.hh.

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)

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nelm ( ) const [inline, virtual]

Number of elements.

Implements concepts::Space< F >.

Definition at line 165 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nlvl ( ) const [inline, virtual]

Maximal number of levels.

Implements aglowav2::Haar3d< F >.

Definition at line 167 of file space.hh.

template<class F >

Haar3d0BFSScan< F > * aglowav2::Haar3d0< F >::scan ( ) const [inline, virtual]

Scanner (same as bfsscan())

Implements concepts::Space< F >.

Definition at line 280 of file space.hh.

template<class F = concepts::Real>

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

Smallest size of a cell.

Definition at line 175 of file space.hh.

template<class F = concepts::Real>

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

One scale space.

Definition at line 177 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::sumLocDim ( ) const [inline]

Sum of the local dimensions.

Definition at line 173 of file space.hh.

Member Data Documentation

template<class F = concepts::Real>

concepts::Real * aglowav2::Haar3d0< F >::At_ [private]

Definition at line 259 of file space.hh.

template<class F = concepts::Real>

uint* aglowav2::Haar3d0< F >::bc_ [private]

Binomial coefficients (used only in the constructor)

Definition at line 248 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::d_ [private]

Order of vanishing moments.

Definition at line 227 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::dim_ [private]

Space dimension.

Definition at line 221 of file space.hh.

template<class F = concepts::Real>

Haar3d000<F>* aglowav2::Haar3d0< F >::elm_ [private]

Root of the wavelet tree.

Definition at line 235 of file space.hh.

template<class F = concepts::Real>

const concepts::Real aglowav2::Haar3d0< F >::EPS_ [static, private]

Threshold for singular values.

Definition at line 266 of file space.hh.

template<class F = concepts::Real>

uint * aglowav2::Haar3d0< F >::idx_ [private]

Definition at line 240 of file space.hh.

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 240 of file space.hh.

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 251 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::maxLocDim_ [private]

Maximal local dimension.

Definition at line 229 of file space.hh.

template<class F = concepts::Real>

const uint aglowav2::Haar3d0< F >::MAXLOCDIM_ [static, private]

Maximal dimension of local transformation matrix.

Used only for memory allocation.

Definition at line 264 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nelm_ [private]

Number of space elements.

Definition at line 223 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::nlvl_ [private]

Maximal number of levels.

Definition at line 225 of file space.hh.

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 $U^t$ from the SVD of $A$ at_ Moment matrix $A^t$ work_ Vector used by Lapack.

Definition at line 259 of file space.hh.

template<class F = concepts::Real>

uint aglowav2::Haar3d0< F >::sLocDim_ [private]

Sum of the local dimensions.

Definition at line 231 of file space.hh.

template<class F = concepts::Real>

const concepts::Space<F>& aglowav2::Haar3d0< F >::spc_ [private]

One scale space.

Definition at line 237 of file space.hh.

template<class F = concepts::Real>

concepts::Real aglowav2::Haar3d0< F >::sz_ [private]

Smallest size of a cell.