A pre-basis for power bases. More...

#include <dune/functions/functionspacebases/powerbasis.hh>

Inheritance diagram for Dune::Functions::PowerPreBasis< IMS, SPB, C >:

Public Types
using	SubPreBasis = SPB
	The child pre-basis.

using	Node = PowerBasisNode< typename SubPreBasis::Node, C >
	Template mapping root tree path to type of created tree node.

using	size_type = typename Base::size_type
	Type used for indices and size information.

using	IndexMergingStrategy = IMS
	Strategy used to merge the global indices of the child factories.

using	GridView = typename SPB::GridView
	The grid view that the FE basis is defined on.

Public Member Functions
template<class... SFArgs, disableCopyMove< PowerPreBasis, SFArgs... > = 0, enableIfConstructible< SubPreBasis, SFArgs... > = 0>
	PowerPreBasis (SFArgs &&... sfArgs)
	Constructor for given child pre-basis objects for static size of the power-basis.

Node	makeNode () const
	Create tree node.

size_type	size () const
	Same as size(prefix) with empty prefix.

template<class SizePrefix >
size_type	size (const SizePrefix &prefix) const
	Return number of possible values for next position in multi index.

template<class NodeType , typename It > requires Dune::TypeTree::Concept::UniformInnerTreeNode<NodeType>
It	indices (const NodeType &node, It it) const
	Maps from subtree index set [0..size-1] to a globally unique multi index in global basis.

auto	containerDescriptor () const
	Return the associated container descriptor.

void	initializeIndices ()
	Initialize the global indices.

const GridView &	gridView () const
	Obtain the grid view that the basis is defined on.

void	update (const GridView &gv)
	Update the stored grid view, to be called if the grid has changed.

std::size_t	children () const

size_type	dimension () const
	Get the total dimension of the space spanned by this basis.

size_type	maxNodeSize () const
	Get the maximal number of DOFs associated to node for any element.

const SubPreBasis &	subPreBasis () const
	Const access to the stored prebasis of the factor in the power space.

SubPreBasis &	subPreBasis ()
	Mutable access to the stored prebasis of the factor in the power space.

Static Public Attributes
static constexpr std::integral_constant< std::size_t, C >	children = {}
	Number of children provided as an integral constant.

static constexpr size_type	maxMultiIndexSize = SubPreBasis::maxMultiIndexSize + isBlocked

static constexpr size_type	minMultiIndexSize = SubPreBasis::minMultiIndexSize + isBlocked

static constexpr size_type	multiIndexBufferSize = SubPreBasis::multiIndexBufferSize + isBlocked

Protected Member Functions
template<class SizePrefix , class Children >
size_type	sizeImpl (SizePrefix prefix, Children children, BasisFactory::FlatInterleaved) const

template<class SizePrefix , class Children >
size_type	sizeImpl (SizePrefix prefix, Children children, BasisFactory::FlatLexicographic) const

template<class SizePrefix , class Children >
size_type	sizeImpl (SizePrefix prefix, Children children, BasisFactory::BlockedLexicographic) const

template<class SizePrefix , class Children >
size_type	sizeImpl (SizePrefix prefix, Children children, BasisFactory::BlockedInterleaved) const

template<class NodeType , typename It , class Children >
It	indicesImpl (const NodeType &node, It multiIndices, Children children, BasisFactory::FlatInterleaved) const

template<class NodeType , typename It , class Children >
It	indicesImpl (const NodeType &node, It multiIndices, Children children, BasisFactory::FlatLexicographic) const

template<class NodeType , typename It , class Children >
It	indicesImpl (const NodeType &node, It multiIndices, Children children, BasisFactory::BlockedLexicographic) const

template<class NodeType , typename It , class Children >
It	indicesImpl (const NodeType &node, It multiIndices, Children children, BasisFactory::BlockedInterleaved) const

template<class Children >
auto	containerDescriptorImpl (Children children) const

Static Protected Member Functions
template<class MultiIndex >
static void	multiIndexPopFront (MultiIndex &M)

template<class MultiIndex >
static void	multiIndexPushFront (MultiIndex &M, size_type M0)

Protected Attributes
std::size_t	children_

SubPreBasis	subPreBasis_

Detailed Description

template<class IMS, class SPB, std::size_t C>
class Dune::Functions::PowerPreBasis< IMS, SPB, C >

A pre-basis for power bases.

This pre-basis represents a power of a given pre-basis. Its node type is a PowerBasisNodes for the given subnode.

Template Parameters

IMS	An IndexMergingStrategy used to merge the global indices of the child factories
SPB	The child pre-basis
C	The exponent of the power node

Member Typedef Documentation

◆ GridView

template<class IMS , class SPB >

using Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::GridView = typename SPB::GridView

inherited

The grid view that the FE basis is defined on.

◆ IndexMergingStrategy

template<class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< IMS, SPB, C >::IndexMergingStrategy = IMS

Strategy used to merge the global indices of the child factories.

◆ Node

template<class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< IMS, SPB, C >::Node = PowerBasisNode<typename SubPreBasis::Node, C>

Template mapping root tree path to type of created tree node.

◆ size_type

template<class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< IMS, SPB, C >::size_type = typename Base::size_type

Type used for indices and size information.

◆ SubPreBasis

template<class IMS , class SPB , std::size_t C>

using Dune::Functions::PowerPreBasis< IMS, SPB, C >::SubPreBasis = SPB

The child pre-basis.

Constructor & Destructor Documentation

◆ PowerPreBasis()

template<class IMS , class SPB , std::size_t C>

template<class... SFArgs, disableCopyMove< PowerPreBasis, SFArgs... > = 0, enableIfConstructible< SubPreBasis, SFArgs... > = 0>

Dune::Functions::PowerPreBasis< IMS, SPB, C >::PowerPreBasis ( SFArgs &&... sfArgs )

inlineexplicit

Constructor for given child pre-basis objects for static size of the power-basis.

The child factories will be stored as copies

Member Function Documentation

◆ children()

template<class IMS , class SPB >

std::size_t Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::children ( ) const

inlineinherited

◆ containerDescriptor()

template<class IMS , class SPB , std::size_t C>

auto Dune::Functions::PowerPreBasis< IMS, SPB, C >::containerDescriptor ( ) const

inline

Return the associated container descriptor.

◆ containerDescriptorImpl()

template<class IMS , class SPB >

template<class Children >

auto Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::containerDescriptorImpl ( Children children ) const

inlineprotectedinherited

◆ dimension()

template<class IMS , class SPB >

size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::dimension ( ) const

inlineinherited

Get the total dimension of the space spanned by this basis.

◆ gridView()

template<class IMS , class SPB >

const GridView & Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::gridView ( ) const

inlineinherited

Obtain the grid view that the basis is defined on.

◆ indices()

template<class IMS , class SPB , std::size_t C>

template<class NodeType , typename It >
requires Dune::TypeTree::Concept::UniformInnerTreeNode<NodeType>

It Dune::Functions::PowerPreBasis< IMS, SPB, C >::indices	(	const NodeType &	node,
		It	it
	)		const

inline

Maps from subtree index set [0..size-1] to a globally unique multi index in global basis.

◆ indicesImpl() [1/4]

template<class IMS , class SPB >

template<class NodeType , typename It , class Children >

It Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::indicesImpl	(	const NodeType &	node,
		It	multiIndices,
		Children	children,
		BasisFactory::BlockedInterleaved
	)		const

inlineprotectedinherited

◆ indicesImpl() [2/4]

template<class IMS , class SPB >

template<class NodeType , typename It , class Children >

It Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::indicesImpl	(	const NodeType &	node,
		It	multiIndices,
		Children	children,
		BasisFactory::BlockedLexicographic
	)		const

inlineprotectedinherited

◆ indicesImpl() [3/4]

template<class IMS , class SPB >

template<class NodeType , typename It , class Children >

It Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::indicesImpl	(	const NodeType &	node,
		It	multiIndices,
		Children	children,
		BasisFactory::FlatInterleaved
	)		const

inlineprotectedinherited

◆ indicesImpl() [4/4]

template<class IMS , class SPB >

template<class NodeType , typename It , class Children >

It Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::indicesImpl	(	const NodeType &	node,
		It	multiIndices,
		Children	children,
		BasisFactory::FlatLexicographic
	)		const

inlineprotectedinherited

◆ initializeIndices()

template<class IMS , class SPB >

void Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::initializeIndices ( )

inlineinherited

Initialize the global indices.

◆ makeNode()

template<class IMS , class SPB , std::size_t C>

Node Dune::Functions::PowerPreBasis< IMS, SPB, C >::makeNode ( ) const

inline

Create tree node.

◆ maxNodeSize()

template<class IMS , class SPB >

size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::maxNodeSize ( ) const

inlineinherited

Get the maximal number of DOFs associated to node for any element.

◆ multiIndexPopFront()

template<class IMS , class SPB >

template<class MultiIndex >

static void Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::multiIndexPopFront ( MultiIndex & M )

inlinestaticprotectedinherited

◆ multiIndexPushFront()

template<class IMS , class SPB >

template<class MultiIndex >

static void Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::multiIndexPushFront	(	MultiIndex &	M,
		size_type	M0
	)

inlinestaticprotectedinherited

◆ size() [1/2]

template<class IMS , class SPB , std::size_t C>

size_type Dune::Functions::PowerPreBasis< IMS, SPB, C >::size ( ) const

inline

Same as size(prefix) with empty prefix.

◆ size() [2/2]

template<class IMS , class SPB , std::size_t C>

template<class SizePrefix >

size_type Dune::Functions::PowerPreBasis< IMS, SPB, C >::size ( const SizePrefix & prefix ) const

inline

Return number of possible values for next position in multi index.

◆ sizeImpl() [1/4]

template<class IMS , class SPB >

template<class SizePrefix , class Children >

size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::sizeImpl	(	SizePrefix	prefix,
		Children	children,
		BasisFactory::BlockedInterleaved
	)		const

inlineprotectedinherited

◆ sizeImpl() [2/4]

template<class IMS , class SPB >

template<class SizePrefix , class Children >

size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::sizeImpl	(	SizePrefix	prefix,
		Children	children,
		BasisFactory::BlockedLexicographic
	)		const

inlineprotectedinherited

◆ sizeImpl() [3/4]

template<class IMS , class SPB >

template<class SizePrefix , class Children >

size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::sizeImpl	(	SizePrefix	prefix,
		Children	children,
		BasisFactory::FlatInterleaved
	)		const

inlineprotectedinherited

◆ sizeImpl() [4/4]

template<class IMS , class SPB >

template<class SizePrefix , class Children >

size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::sizeImpl	(	SizePrefix	prefix,
		Children	children,
		BasisFactory::FlatLexicographic
	)		const

inlineprotectedinherited

◆ subPreBasis() [1/2]

template<class IMS , class SPB >

SubPreBasis & Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::subPreBasis ( )

inlineinherited

Mutable access to the stored prebasis of the factor in the power space.

◆ subPreBasis() [2/2]

template<class IMS , class SPB >

const SubPreBasis & Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::subPreBasis ( ) const

inlineinherited

Const access to the stored prebasis of the factor in the power space.

◆ update()

template<class IMS , class SPB >

void Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::update ( const GridView & gv )

inlineinherited

Update the stored grid view, to be called if the grid has changed.

Member Data Documentation

◆ children

template<class IMS , class SPB , std::size_t C>

constexpr std::integral_constant<std::size_t,C> Dune::Functions::PowerPreBasis< IMS, SPB, C >::children = {}

inlinestaticconstexpr

Number of children provided as an integral constant.

◆ children_

template<class IMS , class SPB >

std::size_t Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::children_

protectedinherited

◆ maxMultiIndexSize

template<class IMS , class SPB >

constexpr size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::maxMultiIndexSize = SubPreBasis::maxMultiIndexSize + isBlocked

staticconstexprinherited

◆ minMultiIndexSize

template<class IMS , class SPB >

constexpr size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::minMultiIndexSize = SubPreBasis::minMultiIndexSize + isBlocked

staticconstexprinherited

◆ multiIndexBufferSize

template<class IMS , class SPB >

constexpr size_type Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::multiIndexBufferSize = SubPreBasis::multiIndexBufferSize + isBlocked

staticconstexprinherited

◆ subPreBasis_

template<class IMS , class SPB >

SubPreBasis Dune::Functions::DynamicPowerPreBasis< IMS, SPB >::subPreBasis_

protectedinherited

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

powerbasis.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ GridView

◆ IndexMergingStrategy

◆ Node

◆ size_type

◆ SubPreBasis

Constructor & Destructor Documentation

◆ PowerPreBasis()

Member Function Documentation

◆ children()

◆ containerDescriptor()

◆ containerDescriptorImpl()

◆ dimension()

◆ gridView()

◆ indices()

◆ indicesImpl() [1/4]

◆ indicesImpl() [2/4]

◆ indicesImpl() [3/4]

◆ indicesImpl() [4/4]

◆ initializeIndices()

◆ makeNode()

◆ maxNodeSize()

◆ multiIndexPopFront()

◆ multiIndexPushFront()

◆ size() [1/2]

◆ size() [2/2]

◆ sizeImpl() [1/4]

◆ sizeImpl() [2/4]

◆ sizeImpl() [3/4]

◆ sizeImpl() [4/4]

◆ subPreBasis() [1/2]

◆ subPreBasis() [2/2]

◆ update()

Member Data Documentation

◆ children

◆ children_

◆ maxMultiIndexSize

◆ minMultiIndexSize

◆ multiIndexBufferSize

◆ subPreBasis_