Defines a linear geometric element which maps a line segment to an ellipse. Geometry. More...

#include <tpzellipse3d.h>

Inheritance diagram for pzgeom::TPZEllipse3D:

Collaboration diagram for pzgeom::TPZEllipse3D:

Public Types
enum	{ NNodes }
	Number of nodes (connects) More...

typedef pztopology::TPZLine	Top

Public Types inherited from pztopology::TPZLine
enum	{ NCornerNodes, NSides, Dimension, NFaces, NPermutations }
	Enumerate for topological characteristics. More...

typedef TPZInt1d	IntruleType
	Typedef to numerical integration rule. More...

typedef TPZGraphEl1dd	GraphElType
	Typedef to graphical element type. More...

Public Member Functions
int	ClassId () const override
	It is not linear mapping. More...

virtual void	ParametricDomainNodeCoord (int64_t node, TPZVec< REAL > &nodeCoord)

	TPZEllipse3D (const TPZEllipse3D &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Constructor. More...

	TPZEllipse3D ()
	Default constructor. More...

virtual	~TPZEllipse3D ()
	Destructor. More...

	TPZEllipse3D (const TPZEllipse3D &cp)
	Copy constructor. More...

	TPZEllipse3D (const TPZEllipse3D &cp, TPZGeoMesh &)
	Copy constructor. More...

	TPZEllipse3D (TPZVec< int64_t > &nodeindexes)
	Constructor with node indexes given. More...

TPZEllipse3D &	operator= (const TPZEllipse3D &cp)

virtual void	AdjustNodesCoordinates (TPZGeoMesh &mesh)
	Adjust node coordinates in case of does not belong to the ellipse arc defined by the given origin and semiAxes. More...

void	SetAxes (TPZVec< REAL > Origin, TPZVec< REAL > SemiAxeX, TPZVec< REAL > SemiAxeY, TPZGeoMesh &gmesh)
	Origin defines the translation of ellipse while semi-axes defines the rotation of ellipse, i.: More...

template<class T >
void	GradX (TPZFMatrix< REAL > &cornerco, TPZVec< T > &par, TPZFMatrix< T > &gradx) const

template<class T >
void	X (TPZFMatrix< REAL > &nodeCoord, TPZVec< T > &qsi, TPZVec< T > &x) const

void	GetNodesCoords (TPZGeoMesh &mesh, TPZFMatrix< REAL > &nodes)
	Creates a geometric element according to the type of the father element. More...

void	SetNodesCoords (TPZGeoMesh &mesh, TPZFMatrix< REAL > &nodes)

double	sAxeX ()

double	sAxeY ()

TPZVec< REAL >	Origin ()

Public Member Functions inherited from pzgeom::TPZNodeRep< 2, pztopology::TPZLine >
virtual void	SetNeighbourInfo (int side, TPZGeoElSide &neigh, TPZTransform<> &trans)

bool	IsLinearMapping () const

bool	IsGeoBlendEl () const

bool	ResetBlendConnectivity (const int64_t &side, const int64_t &index)

	TPZNodeRep (TPZVec< int64_t > &nodeindexes)
	Constructor with list of nodes. More...

	TPZNodeRep ()
	Empty constructor. More...

	TPZNodeRep (const TPZNodeRep &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Constructor with node map. More...

	TPZNodeRep (const TPZNodeRep< N, pztopology::TPZLine > &cp)
	Copy constructor. More...

void	Read (TPZStream &buf, void *context) override

void	Write (TPZStream &buf, int withclassid) const override

void	Initialize (TPZVec< int64_t > &nodeindexes)

void	Initialize (TPZGeoEl *)

void	Print (std::ostream &out) const

int	ClassId () const override

Public Member Functions inherited from pztopology::TPZLine
	TPZLine ()
	Default constructor. More...

virtual	~TPZLine ()
	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 bool	IsLinearMapping (int side)

static std::string	TypeName ()

static void	InsertExampleElement (TPZGeoMesh &gmesh, int matid, TPZVec< REAL > &lowercorner, TPZVec< REAL > &size)

Static Public Member Functions inherited from pztopology::TPZLine
static void	Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Compute the shape being used to construct the x mapping from local parametric coordinates. More...

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 ()

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 DimTarget)
	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 the number of connects for a set dimension. More...

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

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

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

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=pztopology::gTolerance)
	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)

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...

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

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

Private Member Functions
double	ComputeAngle (TPZVec< REAL > &co) const
	Compute the angle of a coordinate as a function of the axes. More...

Private Attributes
double	fsAxeX

double	fsAxeY

TPZFNMatrix< 9, REAL >	fAxes
	Rotation matrix where the axes correspond to rows of the matrix. More...

TPZManVector< REAL, 3 >	fOrigin

double	fAngleIni

double	fAngleFinal

Additional Inherited Members
Public Attributes inherited from pzgeom::TPZNodeRep< 2, pztopology::TPZLine >
int64_t	fNodeIndexes [N]
	Node indexes of the element. More...

Static Public Attributes inherited from pzgeom::TPZNodeRep< 2, pztopology::TPZLine >
static const int	NNodes

Static Protected Attributes inherited from pztopology::TPZLine
static int	fPermutations [2][3]
	Valid permutations between nodes. More...

Detailed Description

Defines a linear geometric element which maps a line segment to an ellipse. Geometry.

Definition at line 24 of file tpzellipse3d.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZLine pzgeom::TPZEllipse3D::Top

Definition at line 27 of file tpzellipse3d.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Number of nodes (connects)

Enumerator
NNodes

Definition at line 29 of file tpzellipse3d.h.

Constructor & Destructor Documentation

◆ TPZEllipse3D() [1/5]

pzgeom::TPZEllipse3D::TPZEllipse3D	(	const TPZEllipse3D &	cp,
		std::map< int64_t, int64_t > &	gl2lcNdMap
	)

inline

Constructor.

Definition at line 39 of file tpzellipse3d.h.

◆ TPZEllipse3D() [2/5]

pzgeom::TPZEllipse3D::TPZEllipse3D ( )

inline

Default constructor.

Definition at line 44 of file tpzellipse3d.h.

◆ ~TPZEllipse3D()

virtual pzgeom::TPZEllipse3D::~TPZEllipse3D ( )

inlinevirtual

Destructor.

Definition at line 49 of file tpzellipse3d.h.

◆ TPZEllipse3D() [3/5]

pzgeom::TPZEllipse3D::TPZEllipse3D ( const TPZEllipse3D & cp )

inline

Copy constructor.

Definition at line 53 of file tpzellipse3d.h.

◆ TPZEllipse3D() [4/5]

pzgeom::TPZEllipse3D::TPZEllipse3D	(	const TPZEllipse3D &	cp,
		TPZGeoMesh &
	)

inline

Copy constructor.

Definition at line 58 of file tpzellipse3d.h.

◆ TPZEllipse3D() [5/5]

pzgeom::TPZEllipse3D::TPZEllipse3D ( TPZVec< int64_t > & nodeindexes )

inline

Constructor with node indexes given.

Definition at line 63 of file tpzellipse3d.h.

Member Function Documentation

◆ AdjustNodesCoordinates()

void TPZEllipse3D::AdjustNodesCoordinates ( TPZGeoMesh & mesh )

virtual

Adjust node coordinates in case of does not belong to the ellipse arc defined by the given origin and semiAxes.

Definition at line 238 of file tpzellipse3d.cpp.

References angle, cos(), and sin.

Referenced by operator=().

◆ ClassId()

int TPZEllipse3D::ClassId ( ) const

overridevirtual

It is not linear mapping.

Implements TPZSavable.

Definition at line 335 of file tpzellipse3d.cpp.

References Hash().

◆ ComputeAngle()

double TPZEllipse3D::ComputeAngle ( TPZVec< REAL > & co ) const

private

Compute the angle of a coordinate as a function of the axes.

Definition at line 93 of file tpzellipse3d.cpp.

References angle, atan2(), DebugStop, and fabs.

Referenced by Origin().

◆ GetNodesCoords()

void TPZEllipse3D::GetNodesCoords	(	TPZGeoMesh &	mesh,
		TPZFMatrix< REAL > &	nodes
	)

Creates a geometric element according to the type of the father element.

Definition at line 204 of file tpzellipse3d.cpp.

References TPZGeoNode::Coord(), and TPZGeoMesh::NodeVec().

Referenced by TypeName().

◆ GradX()

template<class T >

void TPZEllipse3D::GradX	(	TPZFMatrix< REAL > &	cornerco,
		TPZVec< T > &	par,
		TPZFMatrix< T > &	gradx
	)		const

Definition at line 180 of file tpzellipse3d.cpp.

References angle, cos(), TPZFMatrix< TVar >::GetVal(), TPZFMatrix< TVar >::MultAdd(), and sin.

Referenced by operator=().

◆ InsertExampleElement()

void TPZEllipse3D::InsertExampleElement	(	TPZGeoMesh &	gmesh,
		int	matid,
		TPZVec< REAL > &	lowercorner,
		TPZVec< REAL > &	size
	)

static

Definition at line 339 of file tpzellipse3d.cpp.

References TPZAdmChunkVector< T, EXP >::AllocateNewElement(), cos(), TPZGeoElRefLess< TGeo >::Geom(), TPZGeoMesh::NodeVec(), pow(), SetAxes(), and sin.

Referenced by Origin().

◆ IsLinearMapping()

static bool pzgeom::TPZEllipse3D::IsLinearMapping ( int side )

inlinestatic

Definition at line 116 of file tpzellipse3d.h.

◆ operator=()

TPZEllipse3D& pzgeom::TPZEllipse3D::operator= ( const TPZEllipse3D & cp )

inline

Definition at line 68 of file tpzellipse3d.h.

References AdjustNodesCoordinates(), cornerco, fAngleFinal, fAngleIni, fAxes, fOrigin, fsAxeX, fsAxeY, GradX(), Origin(), SetAxes(), and X().

◆ Origin()

TPZVec<REAL> pzgeom::TPZEllipse3D::Origin ( )

inline

Definition at line 142 of file tpzellipse3d.h.

References co, ComputeAngle(), fOrigin, and InsertExampleElement().

Referenced by operator=().

◆ ParametricDomainNodeCoord()

void TPZEllipse3D::ParametricDomainNodeCoord	(	int64_t	node,
		TPZVec< REAL > &	nodeCoord
	)

virtual

Creates a geometric element according to the type of the father element

Definition at line 309 of file tpzellipse3d.cpp.

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

◆ sAxeX()

double pzgeom::TPZEllipse3D::sAxeX ( )

inline

Definition at line 134 of file tpzellipse3d.h.

References fsAxeX.

◆ sAxeY()

double pzgeom::TPZEllipse3D::sAxeY ( )

inline

Definition at line 138 of file tpzellipse3d.h.

References fsAxeY.

◆ SetAxes()

void TPZEllipse3D::SetAxes	(	TPZVec< REAL >	Origin,
		TPZVec< REAL >	SemiAxeX,
		TPZVec< REAL >	SemiAxeY,
		TPZGeoMesh &	gmesh
	)

Origin defines the translation of ellipse while semi-axes defines the rotation of ellipse, i.:

Parameters

Origin	origin coordinates
SemiAxeX	is the vector that defines the direction of X axes of ellipse, whose value is its norm.
SemiAxeY	is the vector that defines the direction of Y axes of ellipse, whose value is its norm.

Definition at line 31 of file tpzellipse3d.cpp.

References DebugStop, EMathematicaInput, fabs, TPZGeoMesh::NodeVec(), Norm(), TPZVec< T >::size(), sqrt, and tolerance.

Referenced by InsertExampleElement(), and operator=().

◆ SetNodesCoords()

void TPZEllipse3D::SetNodesCoords	(	TPZGeoMesh &	mesh,
		TPZFMatrix< REAL > &	nodes
	)

Definition at line 217 of file tpzellipse3d.cpp.

References TPZGeoMesh::NodeVec(), and TPZGeoNode::SetCoord().

Referenced by TypeName().

◆ TypeName()

static std::string pzgeom::TPZEllipse3D::TypeName ( )

inlinestatic

Definition at line 121 of file tpzellipse3d.h.

References GetNodesCoords(), and SetNodesCoords().

◆ X()

template<class T >

void TPZEllipse3D::X	(	TPZFMatrix< REAL > &	nodeCoord,
		TPZVec< T > &	qsi,
		TPZVec< T > &	x
	)		const

Este metodo estabelece o mapeamento de um elemento linear de dominio [-1,1] para o arco de elipse definido pelos nohs inicial e final, os quais devem pertencer ao lugar geometrico da elipse, ========> SEGUINDO A REGRA DA MAO DIREITA (sentido anti-horario em relacao ao sistema local definido pelos vetores dos semi-eixos X e Y).

Definition at line 118 of file tpzellipse3d.cpp.

References angle, cos(), DebugStop, TPZFMatrix< TVar >::GetVal(), TPZFMatrix< TVar >::MultAdd(), sin, and sqrt.

Referenced by operator=().

Member Data Documentation

◆ fAngleFinal

double pzgeom::TPZEllipse3D::fAngleFinal

private

Definition at line 169 of file tpzellipse3d.h.

Referenced by operator=().

◆ fAngleIni

double pzgeom::TPZEllipse3D::fAngleIni

private

Definition at line 168 of file tpzellipse3d.h.

Referenced by operator=().

◆ fAxes

TPZFNMatrix<9,REAL> pzgeom::TPZEllipse3D::fAxes

private

Rotation matrix where the axes correspond to rows of the matrix.

Definition at line 164 of file tpzellipse3d.h.

Referenced by operator=().

◆ fOrigin

TPZManVector<REAL,3> pzgeom::TPZEllipse3D::fOrigin

private

Definition at line 166 of file tpzellipse3d.h.

Referenced by operator=(), and Origin().

◆ fsAxeX

double pzgeom::TPZEllipse3D::fsAxeX

private

Definition at line 157 of file tpzellipse3d.h.

Referenced by operator=(), and sAxeX().

◆ fsAxeY

double pzgeom::TPZEllipse3D::fsAxeY

private

Definition at line 159 of file tpzellipse3d.h.

Referenced by operator=(), and sAxeY().

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

SpecialMaps/tpzellipse3d.h
SpecialMaps/tpzellipse3d.cpp

Public Types

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Top

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZEllipse3D() [1/5]

◆ TPZEllipse3D() [2/5]

◆ ~TPZEllipse3D()

◆ TPZEllipse3D() [3/5]

◆ TPZEllipse3D() [4/5]

◆ TPZEllipse3D() [5/5]

Member Function Documentation

◆ AdjustNodesCoordinates()

◆ ClassId()

◆ ComputeAngle()

◆ GetNodesCoords()

◆ GradX()

◆ InsertExampleElement()

◆ IsLinearMapping()

◆ operator=()

◆ Origin()

◆ ParametricDomainNodeCoord()

◆ sAxeX()

◆ sAxeY()

◆ SetAxes()

◆ SetNodesCoords()

◆ TypeName()

◆ X()

Member Data Documentation

◆ fAngleFinal

◆ fAngleIni

◆ fAxes

◆ fOrigin

◆ fsAxeX

◆ fsAxeY