Implements three dimensional arc. Geometry. More...

#include <tpzarc3d.h>

Inheritance diagram for pzgeom::TPZArc3D:

Collaboration diagram for pzgeom::TPZArc3D:

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
	TPZArc3D (const TPZArc3D &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Copy constructor with map of nodes. More...

	TPZArc3D ()
	Default constructor. More...

	TPZArc3D (const TPZArc3D &cp)
	Copy constructor. More...

TPZArc3D &	operator= (const TPZArc3D &cp)
	Copy constructor. More...

	TPZArc3D (const TPZArc3D &cp, TPZGeoMesh &)
	Another copy constructor. More...

	TPZArc3D (TPZVec< int64_t > &nodeindexes)

	TPZArc3D (TPZFMatrix< REAL > &coord)

void	Initialize (TPZGeoEl *refel)
	Initialize the internal data structure of the arc using the coordinates of the nodes. More...

template<class T >
void	X (TPZFMatrix< REAL > &coord, TPZVec< T > &loc, TPZVec< T > &result) const

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

void	Print (std::ostream &out) const
	Creates a geometric element according to the type of the father element. 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...

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

Public Member Functions inherited from pzgeom::TPZNodeRep< 3, 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 std::string	TypeName ()

static bool	IsLinearMapping (int side)

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)

Protected Member Functions
void	ComputeAtributes (TPZFMatrix< REAL > &coord)

void	ComputeR2Points (TPZFMatrix< REAL > &coord, double &xa, double &ya, double &xb, double &yb)

double	ArcAngle (TPZFMatrix< REAL > &coord, double xa, double ya, double xb, double yb) const

Protected Attributes
Atributes
TPZFNMatrix< 9 >	fICnBase

TPZFNMatrix< 9 >	fIBaseCn

TPZManVector< REAL, 3 >	fCenter3D

TPZManVector< REAL, 3 >	finitialVector

REAL	fAngle

REAL	fRadius

REAL	fXcenter

REAL	fYcenter

Additional Inherited Members
Public Attributes inherited from pzgeom::TPZNodeRep< 3, pztopology::TPZLine >
int64_t	fNodeIndexes [N]
	Node indexes of the element. More...

Static Public Attributes inherited from pzgeom::TPZNodeRep< 3, 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

Implements three dimensional arc. Geometry.

Author: Paulo Cesar de Alvarenga Lucci (Caju)

Since: 2007

Definition at line 26 of file tpzarc3d.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZLine pzgeom::TPZArc3D::Top

Definition at line 29 of file tpzarc3d.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Number of nodes (connects)

Enumerator
NNodes

Definition at line 31 of file tpzarc3d.h.

Constructor & Destructor Documentation

◆ TPZArc3D() [1/6]

pzgeom::TPZArc3D::TPZArc3D	(	const TPZArc3D &	cp,
		std::map< int64_t, int64_t > &	gl2lcNdMap
	)

inline

Copy constructor with map of nodes.

Definition at line 34 of file tpzarc3d.h.

References fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, and fYcenter.

◆ TPZArc3D() [2/6]

pzgeom::TPZArc3D::TPZArc3D ( )

inline

Default constructor.

Definition at line 57 of file tpzarc3d.h.

◆ TPZArc3D() [3/6]

pzgeom::TPZArc3D::TPZArc3D ( const TPZArc3D & cp )

inline

Copy constructor.

Definition at line 62 of file tpzarc3d.h.

References fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, and fYcenter.

◆ TPZArc3D() [4/6]

pzgeom::TPZArc3D::TPZArc3D	(	const TPZArc3D &	cp,
		TPZGeoMesh &
	)

inline

Another copy constructor.

Definition at line 90 of file tpzarc3d.h.

References fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, and fYcenter.

◆ TPZArc3D() [5/6]

pzgeom::TPZArc3D::TPZArc3D ( TPZVec< int64_t > & nodeindexes )

inline

Definition at line 102 of file tpzarc3d.h.

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

◆ TPZArc3D() [6/6]

pzgeom::TPZArc3D::TPZArc3D ( TPZFMatrix< REAL > & coord )

inline

Definition at line 113 of file tpzarc3d.h.

References ComputeAtributes().

Member Function Documentation

◆ ArcAngle()

double TPZArc3D::ArcAngle	(	TPZFMatrix< REAL > &	coord,
		double	xa,
		double	ya,
		double	xb,
		double	yb
	)		const

protected

This method return the absolute angle with respect of the arc formed between (ini - center) and (fin - center), passing by midnode Note: (xm,ym) don't appear because this coordinates are always (0,0) - it's the origin of R2 basis

Computing the Center Coordinates in this R2 base M_PI

angle between (ini-center) 'n' (mid-center)

angle between (fin-center) 'n' (mid-center)

angle between (ini-center) 'n' (fin-center)

verification if midpoint is in smaller arc angle (<= pi) or in the bigger arc angle (>= pi) Note: smaller and bigger arc angles reffers to the angle formed between (ini-center) and (fin-center) vectors, where [smaller + bigger = 2PI]

Smaller Arc Angle = Angle3

Bigger Arc Angle = 2Pi - Angle3

Definition at line 187 of file tpzarc3d.cpp.

References acos, atan2(), cos(), DebugStop, fabs, and sqrt.

Referenced by Write().

◆ ClassId()

int TPZArc3D::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.

Definition at line 393 of file tpzarc3d.cpp.

References pzgeom::TPZNodeRep< N, Topology >::ClassId(), and Hash().

Referenced by Write().

◆ ComputeAtributes()

void TPZArc3D::ComputeAtributes ( TPZFMatrix< REAL > & coord )

protected

fIBaseCn -> Basis Change Matrix: from Base(R2) to Canonic(R3) | fIBaseCn 1st column = BaseX | fIBaseCn 2nd column = BaseY

fIBaseCn 3rd column = BaseZ = Cross[BaseX,BaseY] |

fICnBase -> Basis Change Matrix: from Canonic(R3) to Base(R2) | fICnBase(i,0) = Inverse[fIBaseCn]

Computing the Center Coordinates in R2 base

Computing the Center Coordinates in R3 base

Computing Radius

Computing (Center->First_Point) vector

Definition at line 25 of file tpzarc3d.cpp.

References DebugStop, fabs, TPZFMatrix< TVar >::GramSchmidt(), Norm(), and sqrt.

Referenced by Initialize(), TPZArc3D(), and Write().

◆ ComputeR2Points()

void TPZArc3D::ComputeR2Points	(	TPZFMatrix< REAL > &	coord,
		double &	xa,
		double &	ya,
		double &	xb,
		double &	yb
	)

protected

This method compute the 3 given points with respect to R2 Basis

vector (ini - middle) written in new R2 base

vector (final - middle) written in new R2 base

Definition at line 161 of file tpzarc3d.cpp.

References TPZVec< T >::Fill().

Referenced by Write().

◆ GradX()

template<class T >

void pzgeom::TPZArc3D::GradX	(	TPZFMatrix< REAL > &	coord,
		TPZVec< T > &	par,
		TPZFMatrix< T > &	gradx
	)		const

inline

Computing Axes

Vector From MappedPoint to Ini

Vector From MappedPoint to Fin

Vector From MappedPoint to Center

Tangent Vector From Point in the Arc

Definition at line 179 of file tpzarc3d.h.

References DebugStop, fabs, fAngle, fCenter3D, fRadius, sqrt, and X().

◆ Initialize()

void pzgeom::TPZArc3D::Initialize ( TPZGeoEl * refel )

inline

Initialize the internal data structure of the arc using the coordinates of the nodes.

Definition at line 119 of file tpzarc3d.h.

References co, ComputeAtributes(), TPZGeoNode::Coord(), and TPZGeoEl::NodePtr().

◆ InsertExampleElement()

void TPZArc3D::InsertExampleElement	(	TPZGeoMesh &	gmesh,
		int	matid,
		TPZVec< REAL > &	lowercorner,
		TPZVec< REAL > &	size
	)

static

Computing Axes Vector From MappedPoint to Ini Vector From MappedPoint to Fin Vector From MappedPoint to Center Tangent Vector From Point in the Arc Creates a geometric element according to the type of the father element

Definition at line 339 of file tpzarc3d.cpp.

References TPZAdmChunkVector< T, EXP >::AllocateNewElement(), and TPZGeoMesh::NodeVec().

Referenced by Write().

◆ IsLinearMapping()

static bool pzgeom::TPZArc3D::IsLinearMapping ( int side )

inlinestatic

Definition at line 227 of file tpzarc3d.h.

◆ operator=()

TPZArc3D& pzgeom::TPZArc3D::operator= ( const TPZArc3D & cp )

inline

Copy constructor.

Definition at line 75 of file tpzarc3d.h.

References fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, and fYcenter.

◆ Print()

void pzgeom::TPZArc3D::Print ( std::ostream & out ) const

inline

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

Definition at line 240 of file tpzarc3d.h.

References fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, fYcenter, pzgeom::TPZNodeRep< N, Topology >::Print(), and TPZMatrix< TVar >::Print().

◆ Read()

void pzgeom::TPZArc3D::Read	(	TPZStream &	buf,
		void *	context
	)

inlineoverridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Definition at line 249 of file tpzarc3d.h.

References fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, fYcenter, pzgeom::TPZNodeRep< N, Topology >::Read(), TPZStream::Read(), and TPZFNMatrix< N, TVar >::Read().

◆ TypeName()

static std::string pzgeom::TPZArc3D::TypeName ( )

inlinestatic

Definition at line 225 of file tpzarc3d.h.

◆ Write()

void pzgeom::TPZArc3D::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

inlineoverridevirtual

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.

Definition at line 262 of file tpzarc3d.h.

References ArcAngle(), ClassId(), ComputeAtributes(), ComputeR2Points(), fAngle, fCenter3D, fIBaseCn, fICnBase, finitialVector, fRadius, fXcenter, fYcenter, InsertExampleElement(), TPZStream::Write(), pzgeom::TPZNodeRep< N, Topology >::Write(), and TPZFNMatrix< N, TVar >::Write().

◆ X()

template<class T >

void pzgeom::TPZArc3D::X	(	TPZFMatrix< REAL > &	coord,
		TPZVec< T > &	loc,
		TPZVec< T > &	result
	)		const

inline

Computing initialVector = (iniR2 - CenterR2)

MappedPoint_R2 = centerCoord + vectorRotated , where Vx = RotationMatrix . Va

Changing Basis of Obtained MappedPoint from R2 to R3

Definition at line 135 of file tpzarc3d.h.

References cos(), fAngle, fIBaseCn, finitialVector, fRadius, fXcenter, fYcenter, TPZFMatrix< TVar >::GetVal(), and sin.

Referenced by GradX().

Member Data Documentation

◆ fAngle

REAL pzgeom::TPZArc3D::fAngle

protected

Definition at line 298 of file tpzarc3d.h.

Referenced by GradX(), operator=(), Print(), Read(), TPZArc3D(), Write(), and X().

◆ fCenter3D

TPZManVector< REAL,3 > pzgeom::TPZArc3D::fCenter3D

protected

Definition at line 294 of file tpzarc3d.h.

Referenced by GradX(), operator=(), Print(), Read(), TPZArc3D(), and Write().

◆ fIBaseCn

TPZFNMatrix<9> pzgeom::TPZArc3D::fIBaseCn

protected

Definition at line 293 of file tpzarc3d.h.

Referenced by operator=(), Print(), Read(), TPZArc3D(), Write(), and X().

◆ fICnBase

TPZFNMatrix<9> pzgeom::TPZArc3D::fICnBase

protected

Definition at line 293 of file tpzarc3d.h.

Referenced by operator=(), Print(), Read(), TPZArc3D(), and Write().

◆ finitialVector

TPZManVector< REAL,3 > pzgeom::TPZArc3D::finitialVector

protected

Definition at line 294 of file tpzarc3d.h.

Referenced by operator=(), Print(), Read(), TPZArc3D(), Write(), and X().

◆ fRadius

REAL pzgeom::TPZArc3D::fRadius

protected

Definition at line 298 of file tpzarc3d.h.

Referenced by GradX(), operator=(), Print(), Read(), TPZArc3D(), Write(), and X().

◆ fXcenter

REAL pzgeom::TPZArc3D::fXcenter

protected

Definition at line 298 of file tpzarc3d.h.

Referenced by operator=(), Print(), Read(), TPZArc3D(), Write(), and X().

◆ fYcenter

REAL pzgeom::TPZArc3D::fYcenter

protected

Definition at line 298 of file tpzarc3d.h.

Referenced by operator=(), Print(), Read(), TPZArc3D(), Write(), and X().

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

SpecialMaps/tpzarc3d.h
SpecialMaps/tpzarc3d.cpp

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Top

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZArc3D() [1/6]

◆ TPZArc3D() [2/6]

◆ TPZArc3D() [3/6]

◆ TPZArc3D() [4/6]

◆ TPZArc3D() [5/6]

◆ TPZArc3D() [6/6]

Member Function Documentation

◆ ArcAngle()

◆ ClassId()

◆ ComputeAtributes()

◆ ComputeR2Points()

◆ GradX()

◆ Initialize()

◆ InsertExampleElement()

◆ IsLinearMapping()

◆ operator=()

◆ Print()

◆ Read()

◆ TypeName()

◆ Write()

◆ X()

Member Data Documentation

◆ fAngle

◆ fCenter3D

◆ fIBaseCn

◆ fICnBase

◆ finitialVector

◆ fRadius

◆ fXcenter

◆ fYcenter