Defines the topology of a point. Topology It has a one side (the same element). More...

#include <tpzpoint.h>

Inheritance diagram for pztopology::TPZPoint:

Collaboration diagram for pztopology::TPZPoint:

Public Types
enum	{ NCornerNodes, NSides, Dimension, NFaces, NPermutations }
	Enumerate for topological characteristics. More...

Public Member Functions
int	ClassId () const override
	Define the class id associated with the class. More...

void	Read (TPZStream &buf, void *context) override
	read objects from the stream More...

void	Write (TPZStream &buf, int withclassid) const override
	Writes this object to the TPZStream buffer. Include the classid if withclassid = true. More...

	TPZPoint ()
	Default constructor. More...

virtual	~TPZPoint ()
	Default destructor. More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Static Public Member Functions
static void	Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)

template<class T >
static void	TShape (const TPZVec< T > &loc, TPZFMatrix< T > &phi, TPZFMatrix< T > &dphi)
	Compute the shape being used to construct the x mapping from local parametric coordinates. More...

static void	GetSideHDivPermutation (int transformationid, TPZVec< int > &permgather)
	Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions. More...

static constexpr REAL	RefElVolume ()
	Volume of the master element (measure of the element) More...

static void	ComputeDirections (int side, TPZFMatrix< REAL > &gradx, TPZFMatrix< REAL > &directions, TPZVec< int > &sidevectors)

static void	GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao)

static void	GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao, TPZVec< int > &sidevectors)

template<class TVar >
static void	ComputeHDivDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions)
	Compute the directions of the HDiv vectors. More...

static int	NBilinearSides ()

About sides of the topological element
template<class T >
static void	BlendFactorForSide (const int &side, const TPZVec< T > &xi, T &blendFactor, TPZVec< T > &corrFactorDxi)

static int	SideDimension (int side)
	Returns the dimension of the side. More...

static void	LowerDimensionSides (int side, TPZStack< int > &smallsides)
	Get all sides with lower dimension on side. More...

static void	LowerDimensionSides (int side, TPZStack< int > &smallsides, int targetdim)
	Get all sides with lower dimension but equal to DimTarget on side. More...

static void	HigherDimensionSides (int side, TPZStack< int > &high)
	Returns all sides whose closure contains side. More...

static int	NSideNodes (int side)
	Returns the number of nodes (not connectivities) associated with a side. More...

static int	SideNodeLocId (int side, int node)
	Returns the local node number of the node "node" along side "side". More...

static int	NumSides ()
	Returns number of connects of the element ??? More...

static int	NumSides (int dimension)
	Returns the number of connects for a set dimension // Jorge ??? More...

static int	NContainedSides (int side)
	Returns the number of nodes (not connectivities) associated with a side // Jorge - sides or nodes??? More...

static int	ContainedSideLocId (int side, int c)
	Returns the local connect number of the connect "c" along side "side". More...

About points at the parametric spaces
static void	CenterPoint (int side, TPZVec< REAL > &center)
	Returns the barycentric coordinates in the master element space of the original element. More...

static bool	IsInParametricDomain (const TPZVec< REAL > &pt, REAL tol=1e-6)
	Verifies if the parametric point pt is in the element parametric domain. More...

static void	RandomPoint (TPZVec< REAL > &pt)
	Generates a random point in the master domain. More...

template<class T >
static bool	CheckProjectionForSingularity (const int &side, const TPZVec< T > &xiInterior)

template<class T >
static void	MapToSide (int side, TPZVec< T > &InternalPar, TPZVec< T > &SidePar, TPZFMatrix< T > &JacToSide)

static void	ParametricDomainNodeCoord (int node, TPZVec< REAL > &nodeCoord)

About type of the topological element
static MElementType	Type ()
	Returns the type of the element as specified in file pzeltype.h. More...

static MElementType	Type (int side)
	Returns the type of the element side as specified in file pzeltype.h. More...

About Transformations
static TPZTransform	SideToSideTransform (int sidefrom, int sideto)
	Returns the transformation which takes a point from the side sidefrom to the side sideto. More...

static TPZTransform	TransformSideToElement (int side)
	Returns the transformation which transform a point from the side to the interior of the element. More...

static TPZTransform	TransformElementToSide (int side)

static int	GetTransformId (TPZVec< int64_t > &id)
	Method which identifies the transformation based on the IDs of the corner nodes. More...

static int	GetTransformId (int side, TPZVec< int64_t > &id)
	Method which identifies the transformation of a side based on the IDs of the corner nodes. More...

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Static Protected Attributes
static int	fPermutations [1][1]
	Valid permutations between nodes. More...

Friends
void	pztopology::GetPermutation (const int permute, TPZVec< int > &permutation)

Methods related over numeric integration
typedef TPZInt1Point	IntruleType
	Typedef to numerical integration rule. More...

static TPZIntPoints *	CreateSideIntegrationRule (int side, int order)
	Create an integration rule over side. More...

Detailed Description

Defines the topology of a point. Topology It has a one side (the same element).

Author: Philippe R. B. Devloo

Definition at line 34 of file tpzpoint.h.

Member Typedef Documentation

◆ IntruleType

typedef TPZInt1Point pztopology::TPZPoint::IntruleType

Typedef to numerical integration rule.

Definition at line 221 of file tpzpoint.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerate for topological characteristics.

Enumerator
NCornerNodes
NSides
Dimension
NFaces
NPermutations

Definition at line 39 of file tpzpoint.h.

Constructor & Destructor Documentation

◆ TPZPoint()

pztopology::TPZPoint::TPZPoint ( )

inline

Default constructor.

Definition at line 47 of file tpzpoint.h.

◆ ~TPZPoint()

virtual pztopology::TPZPoint::~TPZPoint ( )

inlinevirtual

Default destructor.

Definition at line 50 of file tpzpoint.h.

Member Function Documentation

◆ BlendFactorForSide()

template<class T >

template void pztopology::TPZPoint::BlendFactorForSide< REAL >	(	const int &	side,
		const TPZVec< T > &	xi,
		T &	blendFactor,
		TPZVec< T > &	corrFactorDxi
	)

static

This method calculates the influence (a.k.a. the blend function) of the side side regarding an interior point qsi. It is used by the TPZGeoBlend class.

Parameters

side	the index of the side
xi	coordinates of the interior point
blendFactor	influence (0 <= blendFactor <= 1)
corrFactorDxi	derivative of the blendFactor in respect to xi

Definition at line 25 of file tpzpoint.cpp.

References DebugStop, and PZError.

Referenced by Shape().

◆ CenterPoint()

static void pztopology::TPZPoint::CenterPoint	(	int	side,
		TPZVec< REAL > &	center
	)

inlinestatic

Returns the barycentric coordinates in the master element space of the original element.

Definition at line 123 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ CheckProjectionForSingularity()

template<class T >

template bool pztopology::TPZPoint::CheckProjectionForSingularity< REAL >	(	const int &	side,
		const TPZVec< T > &	xiInterior
	)

static

This method will check if the projection to a certain side (MapToSide method) is regular, i.e., if the interior point in the parametric domain is not too close to the projection's singularity.

Parameters

side	the index of the side upon which the interior point will be projected upon
xiInterior	coordinates of the interior point

Returns: true if the interior point is far from the singularity

Definition at line 59 of file tpzpoint.cpp.

Referenced by RandomPoint().

◆ ClassId()

int pztopology::TPZPoint::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 1, pztopology::TPZPoint >.

Definition at line 129 of file tpzpoint.cpp.

References Hash().

◆ ComputeDirections()

void pztopology::TPZPoint::ComputeDirections	(	int	side,
		TPZFMatrix< REAL > &	gradx,
		TPZFMatrix< REAL > &	directions,
		TPZVec< int > &	sidevectors
	)

static

Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions

Parameters

side	: side for which the permutation is needed
id	: ids of the corner nodes of the elements
permgather	: permutation vector in a gather order

Definition at line 123 of file tpzpoint.cpp.

References TPZFMatrix< TVar >::Redim(), and TPZVec< T >::Resize().

Referenced by RefElVolume().

◆ ComputeHDivDirections()

template<class TVar >

template void pztopology::TPZPoint::ComputeHDivDirections< REAL >	(	TPZFMatrix< TVar > &	gradx,
		TPZFMatrix< TVar > &	directions
	)

inlinestatic

Compute the directions of the HDiv vectors.

Definition at line 262 of file tpzpoint.h.

References NBilinearSides().

◆ ContainedSideLocId()

static int pztopology::TPZPoint::ContainedSideLocId	(	int	side,
		int	c
	)

inlinestatic

Returns the local connect number of the connect "c" along side "side".

Definition at line 113 of file tpzpoint.h.

◆ CreateSideIntegrationRule()

TPZIntPoints * pztopology::TPZPoint::CreateSideIntegrationRule	(	int	side,
		int	order
	)

static

Create an integration rule over side.

Parameters

side	Side to create integration rule
order	Order of the integration rule to be created

Definition at line 34 of file tpzpoint.cpp.

Referenced by PYBIND11_MODULE(), and TransformElementToSide().

◆ GetSideHDivDirections() [1/2]

static void pztopology::TPZPoint::GetSideHDivDirections	(	TPZVec< int > &	sides,
		TPZVec< int > &	dir,
		TPZVec< int > &	bilinearounao
	)

inlinestatic

Definition at line 245 of file tpzpoint.h.

◆ GetSideHDivDirections() [2/2]

static void pztopology::TPZPoint::GetSideHDivDirections	(	TPZVec< int > &	sides,
		TPZVec< int > &	dir,
		TPZVec< int > &	bilinearounao,
		TPZVec< int > &	sidevectors
	)

inlinestatic

Definition at line 252 of file tpzpoint.h.

◆ GetSideHDivPermutation()

static void pztopology::TPZPoint::GetSideHDivPermutation	(	int	transformationid,
		TPZVec< int > &	permgather
	)

inlinestatic

Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions.

Parameters

side	Side for which the permutation is needed
id	Ids of the corner nodes of the elements
permgather	Permutation vector in a gather order

Definition at line 232 of file tpzpoint.h.

◆ GetTransformId() [1/2]

int pztopology::TPZPoint::GetTransformId ( TPZVec< int64_t > & id )

static

Method which identifies the transformation based on the IDs of the corner nodes.

Parameters

id	Indexes of the corner nodes

Returns: Index of the transformation of the point corresponding to the topology

Method which identifies the transformation based on the IDs of the corner nodes

Parameters

id	indexes of the corner nodes

Returns: index of the transformation of the point corresponding to the topology

Definition at line 95 of file tpzpoint.cpp.

Referenced by TransformElementToSide().

◆ GetTransformId() [2/2]

int pztopology::TPZPoint::GetTransformId	(	int	side,
		TPZVec< int64_t > &	id
	)

static

Method which identifies the transformation of a side based on the IDs of the corner nodes.

Parameters

side	Index of side
id	Indexes of the corner nodes

Returns: Index of the transformation of the point corresponding to the topology

Method which identifies the transformation of a side based on the IDs of the corner nodes

Parameters

id	indexes of the corner nodes

Returns: index of the transformation of the point corresponding to the topology

Definition at line 106 of file tpzpoint.cpp.

◆ HigherDimensionSides()

static void pztopology::TPZPoint::HigherDimensionSides	(	int	side,
		TPZStack< int > &	high
	)

inlinestatic

Returns all sides whose closure contains side.

Parameters

side	Smaller dimension side
high	Vector which will contain all sides whose closure contain sidefrom

Definition at line 92 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ IsInParametricDomain()

static bool pztopology::TPZPoint::IsInParametricDomain	(	const TPZVec< REAL > &	pt,
		REAL	tol = `1e-6`
	)

inlinestatic

Verifies if the parametric point pt is in the element parametric domain.

Definition at line 127 of file tpzpoint.h.

Referenced by IsInSideParametricDomain(), and PYBIND11_MODULE().

◆ LowerDimensionSides() [1/2]

static void pztopology::TPZPoint::LowerDimensionSides	(	int	side,
		TPZStack< int > &	smallsides
	)

inlinestatic

Get all sides with lower dimension on side.

Definition at line 81 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ LowerDimensionSides() [2/2]

static void pztopology::TPZPoint::LowerDimensionSides	(	int	side,
		TPZStack< int > &	smallsides,
		int	targetdim
	)

inlinestatic

Get all sides with lower dimension but equal to DimTarget on side.

Definition at line 84 of file tpzpoint.h.

◆ MapToSide()

template<class T >

template void pztopology::TPZPoint::MapToSide< REAL >	(	int	side,
		TPZVec< T > &	InternalPar,
		TPZVec< T > &	SidePar,
		TPZFMatrix< T > &	JacToSide
	)

static

Definition at line 63 of file tpzpoint.cpp.

References TPZVec< T >::Resize(), and TPZFMatrix< TVar >::Resize().

Referenced by RandomPoint().

◆ NBilinearSides()

int pztopology::TPZPoint::NBilinearSides ( )

static

Returns the number of bilinear sides to this shape. Needed to compute the number shapefunctions( NConnectShapeF )

Definition at line 55 of file tpzpoint.cpp.

Referenced by ComputeHDivDirections().

◆ NContainedSides()

static int pztopology::TPZPoint::NContainedSides ( int side )

inlinestatic

Returns the number of nodes (not connectivities) associated with a side // Jorge - sides or nodes???

Definition at line 109 of file tpzpoint.h.

◆ NSideNodes()

static int pztopology::TPZPoint::NSideNodes ( int side )

inlinestatic

Returns the number of nodes (not connectivities) associated with a side.

Definition at line 95 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ NumSides() [1/2]

static int pztopology::TPZPoint::NumSides ( )

inlinestatic

Returns number of connects of the element ???

Definition at line 104 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ NumSides() [2/2]

static int pztopology::TPZPoint::NumSides ( int dimension )

inlinestatic

Returns the number of connects for a set dimension // Jorge ???

Definition at line 106 of file tpzpoint.h.

◆ ParametricDomainNodeCoord()

void pztopology::TPZPoint::ParametricDomainNodeCoord	(	int	node,
		TPZVec< REAL > &	nodeCoord
	)

static

Definition at line 67 of file tpzpoint.cpp.

References DebugStop, Dimension, NCornerNodes, and TPZVec< T >::Resize().

Referenced by RandomPoint().

◆ RandomPoint()

static void pztopology::TPZPoint::RandomPoint ( TPZVec< REAL > & pt )

inlinestatic

Generates a random point in the master domain.

Definition at line 132 of file tpzpoint.h.

References CheckProjectionForSingularity(), MapToSide(), ParametricDomainNodeCoord(), and Type().

◆ Read()

void pztopology::TPZPoint::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 1, pztopology::TPZPoint >.

Definition at line 133 of file tpzpoint.cpp.

◆ RefElVolume()

static constexpr REAL pztopology::TPZPoint::RefElVolume ( )

inlinestatic

Volume of the master element (measure of the element)

Definition at line 239 of file tpzpoint.h.

References ComputeDirections().

Referenced by PYBIND11_MODULE().

◆ Shape()

static void pztopology::TPZPoint::Shape	(	TPZVec< REAL > &	loc,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

inlinestatic

Definition at line 53 of file tpzpoint.h.

References BlendFactorForSide(), and TShape().

◆ SideDimension()

static int pztopology::TPZPoint::SideDimension ( int side )

inlinestatic

Returns the dimension of the side.

Definition at line 76 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ SideNodeLocId()

static int pztopology::TPZPoint::SideNodeLocId	(	int	side,
		int	node
	)

inlinestatic

Returns the local node number of the node "node" along side "side".

Definition at line 99 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ SideToSideTransform()

static TPZTransform pztopology::TPZPoint::SideToSideTransform	(	int	sidefrom,
		int	sideto
	)

inlinestatic

Returns the transformation which takes a point from the side sidefrom to the side sideto.

Parameters

sidefrom	side where the point resides
sideto	side whose closure contains sidefrom

Definition at line 172 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ TransformElementToSide()

static TPZTransform pztopology::TPZPoint::TransformElementToSide ( int side )

inlinestatic

Definition at line 187 of file tpzpoint.h.

References CreateSideIntegrationRule(), and GetTransformId().

Referenced by PYBIND11_MODULE().

◆ TransformSideToElement()

static TPZTransform pztopology::TPZPoint::TransformSideToElement ( int side )

inlinestatic

Returns the transformation which transform a point from the side to the interior of the element.

Parameters

side	Side from which the point will be tranformed (0<=side<=2)

Returns: TPZTransform<> object

See also: the class TPZTransform

Definition at line 182 of file tpzpoint.h.

Referenced by PYBIND11_MODULE().

◆ TShape()

template<class T >

template void pztopology::TPZPoint::TShape< REAL >	(	const TPZVec< T > &	loc,
		TPZFMatrix< T > &	phi,
		TPZFMatrix< T > &	dphi
	)

static

Compute the shape being used to construct the x mapping from local parametric coordinates.

Definition at line 19 of file tpzpoint.cpp.

Referenced by GetSideShapeFunction(), ProjectBissectionInParametricDomain(), and Shape().

◆ Type() [1/2]

MElementType pztopology::TPZPoint::Type ( )

static

Returns the type of the element as specified in file pzeltype.h.

Definition at line 40 of file tpzpoint.cpp.

References EPoint.

Referenced by RandomPoint().

◆ Type() [2/2]

MElementType pztopology::TPZPoint::Type ( int side )

static

Returns the type of the element side as specified in file pzeltype.h.

Definition at line 45 of file tpzpoint.cpp.

References ENoType, and EPoint.

◆ Write()

void pztopology::TPZPoint::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Writes this object to the TPZStream buffer. Include the classid if withclassid = true.

Writes this object to the TPZStream buffer. Include the classid if withclassid = true

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 1, pztopology::TPZPoint >.

Definition at line 137 of file tpzpoint.cpp.

Friends And Related Function Documentation

◆ pztopology::GetPermutation

void pztopology::GetPermutation	(	const int	permute,
		TPZVec< int > &	permutation
	)

friend

Member Data Documentation

◆ fPermutations

int pztopology::TPZPoint::fPermutations

staticprotected

Valid permutations between nodes.

Definition at line 273 of file tpzpoint.h.

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

Topology/tpzpoint.h
Topology/tpzpoint.cpp

Public Types

Public Member Functions

Static Public Member Functions

Static Protected Attributes

Friends

Methods related over numeric integration

Detailed Description

Member Typedef Documentation

◆ IntruleType

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZPoint()

◆ ~TPZPoint()

Member Function Documentation

◆ BlendFactorForSide()

◆ CenterPoint()

◆ CheckProjectionForSingularity()

◆ ClassId()

◆ ComputeDirections()

◆ ComputeHDivDirections()

◆ ContainedSideLocId()

◆ CreateSideIntegrationRule()

◆ GetSideHDivDirections() [1/2]

◆ GetSideHDivDirections() [2/2]

◆ GetSideHDivPermutation()

◆ GetTransformId() [1/2]

◆ GetTransformId() [2/2]

◆ HigherDimensionSides()

◆ IsInParametricDomain()

◆ LowerDimensionSides() [1/2]

◆ LowerDimensionSides() [2/2]

◆ MapToSide()

◆ NBilinearSides()

◆ NContainedSides()

◆ NSideNodes()

◆ NumSides() [1/2]

◆ NumSides() [2/2]

◆ ParametricDomainNodeCoord()

◆ RandomPoint()

◆ Read()

◆ RefElVolume()

◆ Shape()

◆ SideDimension()

◆ SideNodeLocId()

◆ SideToSideTransform()

◆ TransformElementToSide()

◆ TransformSideToElement()

◆ TShape()

◆ Type() [1/2]

◆ Type() [2/2]

◆ Write()

Friends And Related Function Documentation

◆ pztopology::GetPermutation

Member Data Documentation

◆ fPermutations