base class for tuples of grid function spaces product of identical grid function spaces base class that holds implementation of the methods More...

#include <dune/pdelab/gridfunctionspace/powergridfunctionspace.hh>

Inheritance diagram for Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >:

Classes
struct	ConstraintsContainer
	extract type for storing constraints More...

Public Types
typedef PowerGridFunctionSpaceTag	ImplementationTag

typedef TypeTree::PowerNode< T, k >	BaseT

typedef ordering_transformation::Type	Ordering

typedef ImplementationBase::Traits	Traits
	export traits class

typedef O	OrderingTag

typedef std::size_t	size_type

Public Member Functions
	PowerGridFunctionSpace (const std::array< std::shared_ptr< T >, k > &container, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())
	Construct a new Power Grid Function Space object.

	PowerGridFunctionSpace (T &c, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, T &c4, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, T &c4, T &c5, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, T &c4, T &c5, T &c6, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, T &c4, T &c5, T &c6, T &c7, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, T &c4, T &c5, T &c6, T &c7, T &c8, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

	PowerGridFunctionSpace (T &c0, T &c1, T &c2, T &c3, T &c4, T &c5, T &c6, T &c7, T &c8, T &c9, const Backend &backend=Backend(), const OrderingTag ordering_tag=OrderingTag())

template<typename Child0 , typename... Children>
	PowerGridFunctionSpace (std::shared_ptr< Child0 > child0, std::shared_ptr< Children >... children)

const Ordering &	ordering () const
	Direct access to the DOF ordering.

Ordering &	ordering ()
	Direct access to the DOF ordering.

std::shared_ptr< const Ordering >	orderingStorage () const
	Direct access to the storage of the DOF ordering.

std::shared_ptr< Ordering >	orderingStorage ()
	Direct access to the storage of the DOF ordering.

const Traits::EntitySet &	entitySet () const
	get grid view partition

Traits::EntitySet &	entitySet ()
	get grid view partition

Traits::SizeType	size () const

Traits::SizeType	blockCount () const

Traits::SizeType	globalSize () const

Traits::SizeType	maxLocalSize () const
	get max dimension of shape function space

void	update (bool force=false)
	Update the indexing information of the GridFunctionSpace.

const std::string &	name () const

void	name (const std::string &name)

Traits::Backend &	backend ()

const Traits::Backend &	backend () const

const Traits::GridView &	gridView () const
	get grid view

void	setEntitySet (typename Traits::EntitySet entity_set)
	Set the Entity Set object to this grid function space.

Traits::OrderingTag &	orderingTag ()

const Traits::OrderingTag &	orderingTag () const

bool	isRootSpace () const

bool	dataHandleContains (int codim) const
	returns true if data for this codim should be communicated

bool	dataHandleFixedSize (int codim) const
	returns true if size per entity of given dim and codim is a constant

constexpr bool	sendLeafSizes () const
	Returns true if the sizes of the leaf orderings in this tree should be sent as part of the communcation.

template<typename Entity >
size_type	dataHandleSize (const Entity &e) const

template<typename V , typename EntityIndex >
void	setup_dof_indices (V &v, size_type n, const EntityIndex &ei, std::integral_constant< bool, true >) const

template<typename V , typename EntityIndex >
void	setup_dof_indices (V &v, size_type n, const EntityIndex &ei, std::integral_constant< bool, false >) const

template<typename V >
V::iterator	dof_indices_begin (V &v, std::integral_constant< bool, true >) const

template<typename V >
DummyDOFIndexIterator	dof_indices_begin (V &v, std::integral_constant< bool, false >) const

template<typename Entity , typename ContainerIndex , typename DOFIndex , typename OffsetIterator , bool map_dof_indices>
void	dataHandleIndices (const Entity &e, std::vector< ContainerIndex > &container_indices, std::vector< DOFIndex > &dof_indices, OffsetIterator oit, std::integral_constant< bool, map_dof_indices > map_dof_indices_value) const
	return vector of global indices associated with the given entity

Protected Member Functions
void	update (Ordering &ordering) const

const GFS &	gfs () const

Protected Attributes
std::optional< typename Traits::EntitySet >	_entity_set

Detailed Description

template<typename T, std::size_t k, typename Backend, typename OrderingTag = LexicographicOrderingTag>
class Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >

base class for tuples of grid function spaces product of identical grid function spaces base class that holds implementation of the methods

PGFS(T,k) = {T}^k

Template Parameters

T	the underlying are all grid function spaces
k	power factor
Mapper	is the ordering parameter. Use e.g. GridFunctionSpaceLexicographicMapper or GridFunctionSpaceComponentBlockwiseMapper or GridFunctionSpaceBlockwiseMapper or GridFunctionSpaceDynamicBlockwiseMapper

Examples: recipe-blocking.cc, and recipe-operator-splitting.cc.

Member Typedef Documentation

◆ BaseT

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

typedef TypeTree::PowerNode<T,k> Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::BaseT

◆ ImplementationTag

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

typedef PowerGridFunctionSpaceTag Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::ImplementationTag

◆ Ordering

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

typedef ordering_transformation::Type Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::Ordering

◆ size_type

template<typename GFS >

typedef std::size_t Dune::PDELab::DataHandleProvider< GFS >::size_type

inherited

◆ Traits

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

typedef ImplementationBase::Traits Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::Traits

export traits class

Constructor & Destructor Documentation

◆ PowerGridFunctionSpace() [1/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	const std::array< std::shared_ptr< T >, k > &	container,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

Construct a new Power Grid Function Space object.

Parameters

container	array with pointers to child spaces
backend	backend object
ordering_tag	ordering tag object

◆ PowerGridFunctionSpace() [2/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [3/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [4/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [5/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [6/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		T &	c4,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [7/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		T &	c4,
		T &	c5,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [8/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		T &	c4,
		T &	c5,
		T &	c6,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [9/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		T &	c4,
		T &	c5,
		T &	c6,
		T &	c7,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [10/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		T &	c4,
		T &	c5,
		T &	c6,
		T &	c7,
		T &	c8,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [11/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	T &	c0,
		T &	c1,
		T &	c2,
		T &	c3,
		T &	c4,
		T &	c5,
		T &	c6,
		T &	c7,
		T &	c8,
		T &	c9,
		const Backend &	backend = `Backend()`,
		const OrderingTag	ordering_tag = `OrderingTag()`
	)

inline

◆ PowerGridFunctionSpace() [12/12]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

template<typename Child0 , typename... Children>

Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::PowerGridFunctionSpace	(	std::shared_ptr< Child0 >	child0,
		std::shared_ptr< Children >...	children
	)

inline

Member Function Documentation

◆ backend() [1/2]

Traits::Backend & Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::backend ( )

inlineinherited

◆ backend() [2/2]

const Traits::Backend & Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::backend ( ) const

inlineinherited

◆ blockCount()

Traits::SizeType Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::blockCount ( ) const

inlineinherited

◆ dataHandleContains()

template<typename GFS >

bool Dune::PDELab::DataHandleProvider< GFS >::dataHandleContains ( int codim ) const

inlineinherited

returns true if data for this codim should be communicated

◆ dataHandleFixedSize()

template<typename GFS >

bool Dune::PDELab::DataHandleProvider< GFS >::dataHandleFixedSize ( int codim ) const

inlineinherited

returns true if size per entity of given dim and codim is a constant

◆ dataHandleIndices()

template<typename GFS >

template<typename Entity , typename ContainerIndex , typename DOFIndex , typename OffsetIterator , bool map_dof_indices>

void Dune::PDELab::DataHandleProvider< GFS >::dataHandleIndices	(	const Entity &	e,
		std::vector< ContainerIndex > &	container_indices,
		std::vector< DOFIndex > &	dof_indices,
		OffsetIterator	oit,
		std::integral_constant< bool, map_dof_indices >	map_dof_indices_value
	)		const

inlineinherited

return vector of global indices associated with the given entity

◆ dataHandleSize()

template<typename GFS >

template<typename Entity >

size_type Dune::PDELab::DataHandleProvider< GFS >::dataHandleSize ( const Entity & e ) const

inlineinherited

how many objects of type DataType have to be sent for a given entity

Note: Only the sender side needs to know this size.

◆ dof_indices_begin() [1/2]

template<typename GFS >

template<typename V >

DummyDOFIndexIterator Dune::PDELab::DataHandleProvider< GFS >::dof_indices_begin	(	V &	v,
		std::integral_constant< bool, false >
	)		const

inlineinherited

◆ dof_indices_begin() [2/2]

template<typename GFS >

template<typename V >

V::iterator Dune::PDELab::DataHandleProvider< GFS >::dof_indices_begin	(	V &	v,
		std::integral_constant< bool, true >
	)		const

inlineinherited

◆ gfs()

template<typename GFS >

const GFS & Dune::PDELab::DataHandleProvider< GFS >::gfs ( ) const

inlineprotectedinherited

◆ globalSize()

Traits::SizeType Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::globalSize ( ) const

inlineinherited

◆ gridView()

const Traits::GridView & Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::gridView ( ) const

inlineinherited

get grid view

◆ isRootSpace()

bool Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::isRootSpace ( ) const

inlineinherited

◆ maxLocalSize()

Traits::SizeType Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::maxLocalSize ( ) const

inlineinherited

get max dimension of shape function space

◆ name() [1/2]

const std::string & Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::name ( ) const

inlineinherited

◆ name() [2/2]

void Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::name ( const std::string & name )

inlineinherited

◆ ordering() [1/2]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

Ordering & Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::ordering ( )

inline

Direct access to the DOF ordering.

◆ ordering() [2/2]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

const Ordering & Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::ordering ( ) const

inline

Direct access to the DOF ordering.

◆ orderingStorage() [1/2]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

std::shared_ptr< Ordering > Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::orderingStorage ( )

inline

Direct access to the storage of the DOF ordering.

◆ orderingStorage() [2/2]

template<typename T , std::size_t k, typename Backend , typename OrderingTag = LexicographicOrderingTag>

std::shared_ptr< const Ordering > Dune::PDELab::PowerGridFunctionSpace< T, k, Backend, OrderingTag >::orderingStorage ( ) const

inline

Direct access to the storage of the DOF ordering.

◆ orderingTag() [1/2]

Traits::OrderingTag & Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::orderingTag ( )

inlineinherited

◆ orderingTag() [2/2]

const Traits::OrderingTag & Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::orderingTag ( ) const

inlineinherited

◆ sendLeafSizes()

template<typename GFS >

constexpr bool Dune::PDELab::DataHandleProvider< GFS >::sendLeafSizes ( ) const

inlineconstexprinherited

Returns true if the sizes of the leaf orderings in this tree should be sent as part of the communcation.

The MultiDomain extensions require knowledge about the size of the individual orderings, which might belong to separate subdomains. Otherwise it is possible to have size mismatches for entities with codim > 0 if there are protruding edges in the parallel mesh partitioning.

By default, this method will always return false. It must be overridden for cases where the data actually needs to be sent.

This flag also modifies the behavior of the generic data handles, which will automatically send, receive and process the additional information. Note that if sendLeafSizes() returns true, the underlying DataHandleIF of the grid will always use the data type char to be able to send different types of data, which will automatically be marshalled to / from a byte stream.

◆ setEntitySet()

void Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::setEntitySet ( typename Traits::EntitySet entity_set )

inlineinherited

Set the Entity Set object to this grid function space.

The passed entity set will be stored and modified by the grid function space. In case of a tree, all entity sets below an entity blocking tag are expected to be the same, otherwise, the ordering will issue an exception. (e.g. compartments with different function spaces). Additionally, the root node in a grid function space tree may also contain a different partition which will be used in the assembly process (e.g. a union of all entity sets from leaf nodes). If no other entity set was given, the root node will usually take the first leaf node entity set.

Parameters

entity_set An object of the type PartitionViewEntitySet

◆ setup_dof_indices() [1/2]

template<typename GFS >

template<typename V , typename EntityIndex >

void Dune::PDELab::DataHandleProvider< GFS >::setup_dof_indices	(	V &	v,
		size_type	n,
		const EntityIndex &	ei,
		std::integral_constant< bool, false >
	)		const

inlineinherited

◆ setup_dof_indices() [2/2]

template<typename GFS >

template<typename V , typename EntityIndex >

void Dune::PDELab::DataHandleProvider< GFS >::setup_dof_indices	(	V &	v,
		size_type	n,
		const EntityIndex &	ei,
		std::integral_constant< bool, true >
	)		const

inlineinherited

◆ size()

Traits::SizeType Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::size ( ) const

inlineinherited

◆ update() [1/2]

void Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::update ( bool force = false )

inlineinherited

Update the indexing information of the GridFunctionSpace.

\ param force Set to true if the underlying grid has changed (e.g. due to adaptivity) to force an update of the embedded EntitySet.

◆ update() [2/2]

void Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::update ( Ordering & ordering ) const

inlineprotectedinherited

Member Data Documentation

◆ _entity_set

std::optional<typename Traits::EntitySet> Dune::PDELab::GridFunctionSpaceBase< GridFunctionSpace , PowerCompositeGridFunctionSpaceTraits< GV, B, O, k > >::_entity_set

mutableprotectedinherited

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

powergridfunctionspace.hh

Classes

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ BaseT

◆ ImplementationTag

◆ Ordering

◆ size_type

◆ Traits

Constructor & Destructor Documentation

◆ PowerGridFunctionSpace() [1/12]

◆ PowerGridFunctionSpace() [2/12]

◆ PowerGridFunctionSpace() [3/12]

◆ PowerGridFunctionSpace() [4/12]

◆ PowerGridFunctionSpace() [5/12]

◆ PowerGridFunctionSpace() [6/12]

◆ PowerGridFunctionSpace() [7/12]

◆ PowerGridFunctionSpace() [8/12]

◆ PowerGridFunctionSpace() [9/12]

◆ PowerGridFunctionSpace() [10/12]

◆ PowerGridFunctionSpace() [11/12]

◆ PowerGridFunctionSpace() [12/12]

Member Function Documentation

◆ backend() [1/2]

◆ backend() [2/2]

◆ blockCount()

◆ dataHandleContains()

◆ dataHandleFixedSize()

◆ dataHandleIndices()

◆ dataHandleSize()

◆ dof_indices_begin() [1/2]

◆ dof_indices_begin() [2/2]

◆ gfs()

◆ globalSize()

◆ gridView()

◆ isRootSpace()

◆ maxLocalSize()

◆ name() [1/2]

◆ name() [2/2]

◆ ordering() [1/2]

◆ ordering() [2/2]

◆ orderingStorage() [1/2]

◆ orderingStorage() [2/2]

◆ orderingTag() [1/2]

◆ orderingTag() [2/2]

◆ sendLeafSizes()

◆ setEntitySet()

◆ setup_dof_indices() [1/2]

◆ setup_dof_indices() [2/2]

◆ size()

◆ update() [1/2]

◆ update() [2/2]

Member Data Documentation

◆ _entity_set