MPICommunicator manages the transfer of ModelPart data in MPI distributed memory environment. More...

#include <mpi_communicator.h>

Inheritance diagram for Kratos::MPICommunicator:

Collaboration diagram for Kratos::MPICommunicator:

Public Member Functions
Life Cycle
	KRATOS_DEPRECATED_MESSAGE ("This constructor is deprecated, please use the one that accepts a DataCommunicator") MPICommunicator(VariablesList *Variables_list)
	Constructor using the VariablesList of the ModelPart that will use this communicator. More...

	MPICommunicator (VariablesList *pVariablesList, const DataCommunicator &rDataCommunicator)
	Constructor using the VariablesList and a custom DataCommunicator. More...

	MPICommunicator (MPICommunicator const &rOther)
	Copy constructor. More...

Communicator::Pointer	Create (const DataCommunicator &rDataCommunicator) const override

	~MPICommunicator () override=default
	Destructor. More...

virtual Communicator::Pointer	Create (const DataCommunicator &rDataCommunicator) const

Communicator::Pointer	Create () const

Operators
MPICommunicator &	operator= (MPICommunicator const &rOther)=delete
	Assignment operator. More...

Access
bool	IsDistributed () const override

Operations
bool	SynchronizeNodalSolutionStepsData () override

bool	SynchronizeDofs () override

bool	SynchronizeVariable (Variable< int > const &rThisVariable) override

bool	SynchronizeVariable (Variable< double > const &rThisVariable) override

bool	SynchronizeVariable (Variable< bool > const &rThisVariable) override

bool	SynchronizeVariable (Variable< array_1d< double, 3 > > const &rThisVariable) override

bool	SynchronizeVariable (Variable< array_1d< double, 4 > > const &rThisVariable) override

bool	SynchronizeVariable (Variable< array_1d< double, 6 > > const &rThisVariable) override

bool	SynchronizeVariable (Variable< array_1d< double, 9 > > const &rThisVariable) override

bool	SynchronizeVariable (Variable< Vector > const &rThisVariable) override

bool	SynchronizeVariable (Variable< Matrix > const &rThisVariable) override

bool	SynchronizeVariable (Variable< Quaternion< double >> const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< int > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< double > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< bool > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< array_1d< double, 3 > > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< array_1d< double, 4 > > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< array_1d< double, 6 > > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< array_1d< double, 9 > > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< Vector > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< Matrix > const &rThisVariable) override

bool	SynchronizeNonHistoricalVariable (Variable< Quaternion< double >> const &rThisVariable) override

bool	SynchronizeCurrentDataToMax (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal solution step data to the maximum value across all processes. More...

bool	SynchronizeNonHistoricalDataToMax (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal data to the maximum value across all processes. More...

bool	SynchronizeCurrentDataToAbsMax (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal solution step data to the absolute maximum value across all processes. More...

bool	SynchronizeNonHistoricalDataToAbsMax (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal data to the absolute maximum value across all processes. More...

bool	SynchronizeCurrentDataToMin (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal solution step data to the minimum value across all processes. More...

bool	SynchronizeNonHistoricalDataToMin (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal data to the minimum value across all processes. More...

bool	SynchronizeCurrentDataToAbsMin (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal solution step data to the absolute minimum value across all processes. More...

bool	SynchronizeNonHistoricalDataToAbsMin (Variable< double > const &ThisVariable) override
	Synchronize variable in nodal data to the absolute minimum value across all processes. More...

bool	AssembleCurrentData (Variable< int > const &ThisVariable) override

bool	AssembleCurrentData (Variable< double > const &ThisVariable) override

bool	AssembleCurrentData (Variable< array_1d< double, 3 > > const &ThisVariable) override

bool	AssembleCurrentData (Variable< Vector > const &ThisVariable) override

bool	AssembleCurrentData (Variable< Matrix > const &ThisVariable) override

bool	AssembleNonHistoricalData (Variable< int > const &ThisVariable) override

bool	AssembleNonHistoricalData (Variable< double > const &ThisVariable) override

bool	AssembleNonHistoricalData (Variable< array_1d< double, 3 > > const &ThisVariable) override

bool	AssembleNonHistoricalData (Variable< DenseVector< array_1d< double, 3 > > > const &ThisVariable) override

bool	AssembleNonHistoricalData (Variable< Vector > const &ThisVariable) override

bool	AssembleNonHistoricalData (Variable< Matrix > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< int > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< double > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< array_1d< double, 3 > > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< DenseVector< array_1d< double, 3 > > > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< DenseVector< int > > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< Vector > const &ThisVariable) override

bool	SynchronizeElementalNonHistoricalVariable (Variable< Matrix > const &ThisVariable) override

bool	TransferObjects (std::vector< NodesContainerType > &SendObjects, std::vector< NodesContainerType > &RecvObjects) override

bool	TransferObjects (std::vector< ElementsContainerType > &SendObjects, std::vector< ElementsContainerType > &RecvObjects) override

bool	TransferObjects (std::vector< ConditionsContainerType > &SendObjects, std::vector< ConditionsContainerType > &RecvObjects) override

bool	TransferObjects (std::vector< NodesContainerType > &SendObjects, std::vector< NodesContainerType > &RecvObjects, Kratos::Serializer &particleSerializer) override

bool	TransferObjects (std::vector< ElementsContainerType > &SendObjects, std::vector< ElementsContainerType > &RecvObjects, Kratos::Serializer &particleSerializer) override

bool	TransferObjects (std::vector< ConditionsContainerType > &SendObjects, std::vector< ConditionsContainerType > &RecvObjects, Kratos::Serializer &particleSerializer) override

bool	SynchronizeOrNodalFlags (const Flags &TheFlags) override

bool	SynchronizeAndNodalFlags (const Flags &TheFlags) override

bool	SynchronizeNodalFlags () override

bool	SynchronizeElementalFlags () override

Input and output
std::string	Info () const override
	Turn back information as a string. More...

Public Member Functions inherited from Kratos::Communicator
	Communicator ()
	Default constructor. More...

	Communicator (const DataCommunicator &rDataCommunicator)
	Constructor using a custom DataCommunicator. More...

	Communicator (Communicator const &rOther)
	Copy constructor. More...

virtual	~Communicator ()=default
	Destructor. More...

Communicator::Pointer	Create () const

Communicator &	operator= (Communicator const &rOther)=delete
	Assignment operator. More...

virtual int	MyPID () const

virtual int	TotalProcesses () const

SizeType	GlobalNumberOfNodes () const

SizeType	GlobalNumberOfElements () const

SizeType	GlobalNumberOfConditions () const

SizeType	GlobalNumberOfMasterSlaveConstraints () const

SizeType	GetNumberOfColors () const

void	SetNumberOfColors (SizeType NewNumberOfColors)

void	AddColors (SizeType NumberOfAddedColors)

NeighbourIndicesContainerType &	NeighbourIndices ()

NeighbourIndicesContainerType const &	NeighbourIndices () const

void	SetLocalMesh (MeshType::Pointer pGivenMesh)
	Set the local mesh pointer to the given mesh. More...

MeshType::Pointer	pLocalMesh ()
	Returns pointer to the mesh storing all local entities. More...

MeshType::Pointer	pGhostMesh ()
	Returns pointer to the mesh storing all ghost entities. More...

MeshType::Pointer	pInterfaceMesh ()
	Returns pointer to the mesh storing all interface entities. More...

const MeshType::Pointer	pLocalMesh () const
	Returns a constant pointer to the mesh storing all local entities. More...

const MeshType::Pointer	pGhostMesh () const
	Returns a constant pointer to the mesh storing all ghost entities. More...

const MeshType::Pointer	pInterfaceMesh () const
	Returns a constant pointer to the mesh storing all interface entities. More...

MeshType::Pointer	pLocalMesh (IndexType ThisIndex)

MeshType::Pointer	pGhostMesh (IndexType ThisIndex)

MeshType::Pointer	pInterfaceMesh (IndexType ThisIndex)

const MeshType::Pointer	pLocalMesh (IndexType ThisIndex) const

const MeshType::Pointer	pGhostMesh (IndexType ThisIndex) const

const MeshType::Pointer	pInterfaceMesh (IndexType ThisIndex) const

MeshType &	LocalMesh ()
	Returns the reference to the mesh storing all local entities. More...

MeshType &	GhostMesh ()
	Returns the reference to the mesh storing all ghost entities. More...

MeshType &	InterfaceMesh ()
	Returns the reference to the mesh storing all interface entities. More...

MeshType const &	LocalMesh () const
	Returns a constant reference to the mesh storing all local entities. More...

MeshType const &	GhostMesh () const
	Returns a constant reference to the mesh storing all ghost entities. More...

MeshType const &	InterfaceMesh () const
	Returns a constant reference to the mesh storing all interface entities. More...

MeshType &	LocalMesh (IndexType ThisIndex)

MeshType &	GhostMesh (IndexType ThisIndex)

MeshType &	InterfaceMesh (IndexType ThisIndex)

MeshType const &	LocalMesh (IndexType ThisIndex) const

MeshType const &	GhostMesh (IndexType ThisIndex) const

MeshType const &	InterfaceMesh (IndexType ThisIndex) const

MeshesContainerType &	LocalMeshes ()

MeshesContainerType &	GhostMeshes ()

MeshesContainerType &	InterfaceMeshes ()

MeshesContainerType const &	LocalMeshes () const

MeshesContainerType const &	GhostMeshes () const

MeshesContainerType const &	InterfaceMeshes () const

virtual const DataCommunicator &	GetDataCommunicator () const

virtual bool	TransferObjects (std::vector< NodesContainerType > &SendObjects, std::vector< NodesContainerType > &RecvObjects)

virtual bool	TransferObjects (std::vector< ElementsContainerType > &SendObjects, std::vector< ElementsContainerType > &RecvObjects)

virtual bool	TransferObjects (std::vector< ConditionsContainerType > &SendObjects, std::vector< ConditionsContainerType > &RecvObjects)

virtual bool	TransferObjects (std::vector< NodesContainerType > &SendObjects, std::vector< NodesContainerType > &RecvObjects, Kratos::Serializer &particleSerializer)

virtual bool	TransferObjects (std::vector< ElementsContainerType > &SendObjects, std::vector< ElementsContainerType > &RecvObjects, Kratos::Serializer &particleSerializer)

virtual bool	TransferObjects (std::vector< ConditionsContainerType > &SendObjects, std::vector< ConditionsContainerType > &RecvObjects, Kratos::Serializer &particleSerializer)

void	Clear ()

virtual void	PrintInfo (std::ostream &rOStream) const
	Print information about this object. More...

virtual void	PrintData (std::ostream &rOStream, std::string const &rPrefixString="") const
	Print object's data. More...

	KRATOS_CLASS_POINTER_DEFINITION (Communicator)
	Pointer definition of Communicator. More...

Type Definitions
typedef Communicator	BaseType

typedef BaseType::IndexType	IndexType

typedef BaseType::SizeType	SizeType

typedef BaseType::NodeType	NodeType

typedef BaseType::PropertiesType	PropertiesType

typedef BaseType::ElementType	ElementType

typedef BaseType::ConditionType	ConditionType

typedef BaseType::NeighbourIndicesContainerType	NeighbourIndicesContainerType

typedef BaseType::MeshType	MeshType

typedef BaseType::MeshesContainerType	MeshesContainerType

typedef MeshType::NodesContainerType	NodesContainerType
	Nodes container. Which is a vector set of nodes with their Id's as key. More...

typedef MeshType::NodeIterator	NodeIterator

typedef MeshType::NodeConstantIterator	NodeConstantIterator

typedef MeshType::PropertiesContainerType	PropertiesContainerType
	Properties container. Which is a vector set of Properties with their Id's as key. More...

typedef MeshType::PropertiesIterator	PropertiesIterator

typedef MeshType::PropertiesConstantIterator	PropertiesConstantIterator

typedef MeshType::ElementsContainerType	ElementsContainerType
	Element container. A vector set of Elements with their Id's as key. More...

typedef MeshType::ElementIterator	ElementIterator

typedef MeshType::ElementConstantIterator	ElementConstantIterator

typedef MeshType::ConditionsContainerType	ConditionsContainerType
	Condintions container. A vector set of Conditions with their Id's as key. More...

typedef MeshType::ConditionIterator	ConditionIterator

typedef MeshType::ConditionConstantIterator	ConditionConstantIterator

	KRATOS_CLASS_POINTER_DEFINITION (MPICommunicator)
	Pointer definition of MPICommunicator. More...

Additional Inherited Members
Public Types inherited from Kratos::Communicator
typedef unsigned int	IndexType

typedef unsigned int	SizeType

typedef Node	NodeType

typedef Properties	PropertiesType

typedef Element	ElementType

typedef Condition	ConditionType

typedef DenseVector< int >	NeighbourIndicesContainerType

typedef Mesh< NodeType, PropertiesType, ElementType, ConditionType >	MeshType

typedef PointerVector< MeshType >	MeshesContainerType

typedef MeshType::NodesContainerType	NodesContainerType
	Nodes container. Which is a vector set of nodes with their Id's as key. More...

typedef MeshType::NodeIterator	NodeIterator

typedef MeshType::NodeConstantIterator	NodeConstantIterator

typedef MeshType::PropertiesContainerType	PropertiesContainerType
	Properties container. Which is a vector set of Properties with their Id's as key. More...

typedef MeshType::PropertiesIterator	PropertiesIterator

typedef MeshType::PropertiesConstantIterator	PropertiesConstantIterator

typedef MeshType::ElementsContainerType	ElementsContainerType
	Element container. A vector set of Elements with their Id's as key. More...

typedef MeshType::ElementIterator	ElementIterator

typedef MeshType::ElementConstantIterator	ElementConstantIterator

typedef MeshType::ConditionsContainerType	ConditionsContainerType
	Condintions container. A vector set of Conditions with their Id's as key. More...

typedef MeshType::ConditionIterator	ConditionIterator

typedef MeshType::ConditionConstantIterator	ConditionConstantIterator

Protected Attributes inherited from Kratos::Communicator
SizeType	mNumberOfColors

NeighbourIndicesContainerType	mNeighbourIndices

MeshType::Pointer	mpLocalMesh

MeshType::Pointer	mpGhostMesh

MeshType::Pointer	mpInterfaceMesh

MeshesContainerType	mLocalMeshes

MeshesContainerType	mGhostMeshes

MeshesContainerType	mInterfaceMeshes

const DataCommunicator &	mrDataCommunicator

Detailed Description

MPICommunicator manages the transfer of ModelPart data in MPI distributed memory environment.

Member Typedef Documentation

◆ BaseType

typedef Communicator Kratos::MPICommunicator::BaseType

◆ ConditionConstantIterator

typedef MeshType::ConditionConstantIterator Kratos::MPICommunicator::ConditionConstantIterator

Const iterator over the Conditions. This iterator is an indirect iterator over Conditions::Pointer which turn back a reference to Condition by * operator and not a pointer for more convenient usage.

◆ ConditionIterator

typedef MeshType::ConditionIterator Kratos::MPICommunicator::ConditionIterator

Iterator over the Conditions. This iterator is an indirect iterator over Conditions::Pointer which turn back a reference to Condition by * operator and not a pointer for more convenient usage.

◆ ConditionsContainerType

typedef MeshType::ConditionsContainerType Kratos::MPICommunicator::ConditionsContainerType

Condintions container. A vector set of Conditions with their Id's as key.

◆ ConditionType

typedef BaseType::ConditionType Kratos::MPICommunicator::ConditionType

◆ ElementConstantIterator

typedef MeshType::ElementConstantIterator Kratos::MPICommunicator::ElementConstantIterator

Const iterator over the Elements. This iterator is an indirect iterator over Elements::Pointer which turn back a reference to Element by * operator and not a pointer for more convenient usage.

◆ ElementIterator

typedef MeshType::ElementIterator Kratos::MPICommunicator::ElementIterator

Iterator over the Elements. This iterator is an indirect iterator over Elements::Pointer which turn back a reference to Element by * operator and not a pointer for more convenient usage.

◆ ElementsContainerType

typedef MeshType::ElementsContainerType Kratos::MPICommunicator::ElementsContainerType

Element container. A vector set of Elements with their Id's as key.

Iterator over the properties. This iterator is an indirect iterator over Properties::Pointer which turn back a reference to properties by * operator and not a pointer for more convenient usage.

◆ ElementType

typedef BaseType::ElementType Kratos::MPICommunicator::ElementType

◆ IndexType

typedef BaseType::IndexType Kratos::MPICommunicator::IndexType

◆ MeshesContainerType

typedef BaseType::MeshesContainerType Kratos::MPICommunicator::MeshesContainerType

◆ MeshType

typedef BaseType::MeshType Kratos::MPICommunicator::MeshType

◆ NeighbourIndicesContainerType

typedef BaseType::NeighbourIndicesContainerType Kratos::MPICommunicator::NeighbourIndicesContainerType

◆ NodeConstantIterator

typedef MeshType::NodeConstantIterator Kratos::MPICommunicator::NodeConstantIterator

Const iterator over the nodes. This iterator is an indirect iterator over Node::Pointer which turn back a reference to node by * operator and not a pointer for more convenient usage.

◆ NodeIterator

typedef MeshType::NodeIterator Kratos::MPICommunicator::NodeIterator

Iterator over the nodes. This iterator is an indirect iterator over Node::Pointer which turn back a reference to node by * operator and not a pointer for more convenient usage.

◆ NodesContainerType

typedef MeshType::NodesContainerType Kratos::MPICommunicator::NodesContainerType

Nodes container. Which is a vector set of nodes with their Id's as key.

◆ NodeType

typedef BaseType::NodeType Kratos::MPICommunicator::NodeType

◆ PropertiesConstantIterator

typedef MeshType::PropertiesConstantIterator Kratos::MPICommunicator::PropertiesConstantIterator

Const iterator over the Properties. This iterator is an indirect iterator over Properties::Pointer which turn back a reference to Properties by * operator and not a pointer for more convenient usage.

◆ PropertiesContainerType

typedef MeshType::PropertiesContainerType Kratos::MPICommunicator::PropertiesContainerType

Properties container. Which is a vector set of Properties with their Id's as key.

Iterator over the properties. This iterator is an indirect iterator over Properties::Pointer which turn back a reference to properties by * operator and not a pointer for more convenient usage.

◆ PropertiesIterator

typedef MeshType::PropertiesIterator Kratos::MPICommunicator::PropertiesIterator

Iterator over the Properties. This iterator is an indirect iterator over Node::Pointer which turn back a reference to node by * operator and not a pointer for more convenient usage.

◆ PropertiesType

typedef BaseType::PropertiesType Kratos::MPICommunicator::PropertiesType

◆ SizeType

typedef BaseType::SizeType Kratos::MPICommunicator::SizeType

Constructor & Destructor Documentation

◆ MPICommunicator() [1/2]

Kratos::MPICommunicator::MPICommunicator	(	VariablesList *	pVariablesList,
		const DataCommunicator &	rDataCommunicator
	)

inline

Constructor using the VariablesList and a custom DataCommunicator.

Parameters

pVariablesList	Pointer to the VariablesList of the ModelPart that will use this communicator.
rDataCommunicator	Reference to a DataCommunicator, which will be used for MPI calls.

◆ MPICommunicator() [2/2]

Kratos::MPICommunicator::MPICommunicator ( MPICommunicator const & rOther )

inline

Copy constructor.

◆ ~MPICommunicator()

Kratos::MPICommunicator::~MPICommunicator ( )

overridedefault

Destructor.

Member Function Documentation

◆ AssembleCurrentData() [1/5]

bool Kratos::MPICommunicator::AssembleCurrentData ( Variable< array_1d< double, 3 > > const & ThisVariable )

inlineoverridevirtual

SendObjects	list of objects to be send. SendObjects[i] -> Objects to process i
RecvObjects	list of objects to be received. RecvObjects[i] -> objects from process i

Public Member Functions

Type Definitions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ BaseType

◆ ConditionConstantIterator

◆ ConditionIterator

◆ ConditionsContainerType

◆ ConditionType

◆ ElementConstantIterator

◆ ElementIterator

◆ ElementsContainerType

◆ ElementType

◆ IndexType

◆ MeshesContainerType

◆ MeshType

◆ NeighbourIndicesContainerType

◆ NodeConstantIterator

◆ NodeIterator

◆ NodesContainerType

◆ NodeType

◆ PropertiesConstantIterator

◆ PropertiesContainerType

◆ PropertiesIterator

◆ PropertiesType

◆ SizeType

Constructor & Destructor Documentation

◆ MPICommunicator() [1/2]

◆ MPICommunicator() [2/2]

◆ ~MPICommunicator()

Member Function Documentation

◆ AssembleCurrentData() [1/5]

◆ AssembleCurrentData() [2/5]

◆ AssembleCurrentData() [3/5]

◆ AssembleCurrentData() [4/5]

◆ AssembleCurrentData() [5/5]

◆ AssembleNonHistoricalData() [1/6]

◆ AssembleNonHistoricalData() [2/6]

◆ AssembleNonHistoricalData() [3/6]

◆ AssembleNonHistoricalData() [4/6]

◆ AssembleNonHistoricalData() [5/6]

◆ AssembleNonHistoricalData() [6/6]

◆ Create() [1/3]

◆ Create() [2/3]

◆ Create() [3/3]

◆ Info()

◆ IsDistributed()

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ KRATOS_DEPRECATED_MESSAGE()

◆ operator=()

◆ SynchronizeAndNodalFlags()

◆ SynchronizeCurrentDataToAbsMax()

◆ SynchronizeCurrentDataToAbsMin()

◆ SynchronizeCurrentDataToMax()

◆ SynchronizeCurrentDataToMin()

◆ SynchronizeDofs()

◆ SynchronizeElementalFlags()

◆ SynchronizeElementalNonHistoricalVariable() [1/7]

◆ SynchronizeElementalNonHistoricalVariable() [2/7]

◆ SynchronizeElementalNonHistoricalVariable() [3/7]

◆ SynchronizeElementalNonHistoricalVariable() [4/7]

◆ SynchronizeElementalNonHistoricalVariable() [5/7]

◆ SynchronizeElementalNonHistoricalVariable() [6/7]

◆ SynchronizeElementalNonHistoricalVariable() [7/7]

◆ SynchronizeNodalFlags()

◆ SynchronizeNodalSolutionStepsData()

◆ SynchronizeNonHistoricalDataToAbsMax()

◆ SynchronizeNonHistoricalDataToAbsMin()

◆ SynchronizeNonHistoricalDataToMax()

◆ SynchronizeNonHistoricalDataToMin()

◆ SynchronizeNonHistoricalVariable() [1/10]

◆ SynchronizeNonHistoricalVariable() [2/10]

◆ SynchronizeNonHistoricalVariable() [3/10]

◆ SynchronizeNonHistoricalVariable() [4/10]

◆ SynchronizeNonHistoricalVariable() [5/10]

◆ SynchronizeNonHistoricalVariable() [6/10]

◆ SynchronizeNonHistoricalVariable() [7/10]

◆ SynchronizeNonHistoricalVariable() [8/10]

◆ SynchronizeNonHistoricalVariable() [9/10]