A 2D cell that represents an arbitrary order HigherOrder triangle. More...

#include <vtkHigherOrderTriangle.h>

Inheritance diagram for vtkHigherOrderTriangle:

Collaboration diagram for vtkHigherOrderTriangle:

Public Types
typedef vtkNonLinearCell	Superclass

Public Types inherited from vtkNonLinearCell
typedef vtkCell	Superclass

Public Types inherited from vtkCell
typedef vtkObject	Superclass

Public Member Functions
virtual vtkTypeBool	IsA (const char *type)
	Return 1 if this class is the same type of (or a subclass of) the named class.

vtkHigherOrderTriangle *	NewInstance () const

void	PrintSelf (ostream &os, vtkIndent indent) override
	Methods invoked by print to print information about the object including superclasses.

int	GetCellType () override=0
	Return the type of cell.

int	GetCellDimension () override
	Return the topological dimensional of the cell (0,1,2, or 3).

int	RequiresInitialization () override
	Some cells require initialization prior to access.

int	GetNumberOfEdges () override
	Return the number of edges in the cell.

int	GetNumberOfFaces () override
	Return the number of faces in the cell.

vtkCell *	GetEdge (int edgeId) override=0
	Return the edge cell from the edgeId of the cell.

void	SetEdgeIdsAndPoints (int edgeId, const std::function< void(const vtkIdType &)> &set_number_of_ids_and_points, const std::function< void(const vtkIdType &, const vtkIdType &)> &set_ids_and_points)

vtkCell *	GetFace (int) override
	Return the face cell from the faceId of the cell.

void	Initialize () override

int	CellBoundary (int subId, const double pcoords[3], vtkIdList *pts) override
	Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.

int	EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
	Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell.

void	EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights) override
	Determine global coordinate (x[3]) from subId and parametric coordinates.

void	Contour (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd) override
	Generate contouring primitives.

void	Clip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
	Cut (or clip) the cell based on the input cellScalars and the specified value.

int	IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
	Intersect with a ray.

int	TriangulateLocalIds (int index, vtkIdList *ptIds) override
	Generate simplices of proper dimension.

void	JacobianInverse (const double pcoords[3], double *inverse, double derivs)

void	Derivatives (int subId, const double pcoords[3], const double values, int dim, double derivs) override
	Compute derivatives given cell subId and parametric coordinates.

void	SetParametricCoords ()

double *	GetParametricCoords () override
	Return a contiguous array of parametric coordinates of the points defining this cell.

int	GetParametricCenter (double pcoords[3]) override
	Return center of the cell in parametric coordinates.

double	GetParametricDistance (const double pcoords[3]) override
	Return the distance of the parametric coordinate provided to the cell.

void	InterpolateFunctions (const double pcoords[3], double *weights) override=0

void	InterpolateDerivs (const double pcoords[3], double *derivs) override=0

vtkIdType	GetOrder () const

vtkIdType	ComputeOrder ()

void	ToBarycentricIndex (vtkIdType index, vtkIdType *bindex)

vtkIdType	ToIndex (const vtkIdType *bindex)

virtual vtkHigherOrderCurve *	GetEdgeCell ()=0

Public Member Functions inherited from vtkNonLinearCell
virtual vtkTypeBool	IsA (const char *type)
	Return 1 if this class is the same type of (or a subclass of) the named class.

vtkNonLinearCell *	NewInstance () const

void	PrintSelf (ostream &os, vtkIndent indent) override
	Methods invoked by print to print information about the object including superclasses.

int	IsLinear () override
	Non-linear cells require special treatment (tessellation) when converting to graphics primitives (during mapping).

virtual bool	StableClip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray connectivity, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)
	Clip the cell based on the input cellScalars and the specified value.

Public Member Functions inherited from vtkCell
virtual vtkTypeBool	IsA (const char *type)
	Return 1 if this class is the same type of (or a subclass of) the named class.

vtkCell *	NewInstance () const

void	PrintSelf (ostream &os, vtkIndent indent) override
	Methods invoked by print to print information about the object including superclasses.

void	Initialize (int npts, const vtkIdType pts, vtkPoints p)
	Initialize cell from outside with point ids and point coordinates specified.

void	Initialize (int npts, vtkPoints *p)
	Initialize the cell with point coordinates specified.

virtual void	ShallowCopy (vtkCell *c)
	Copy this cell by reference counting the internal data structures.

virtual void	DeepCopy (vtkCell *c)
	Copy this cell by completely copying internal data structures.

virtual int	GetCellType ()=0
	Return the type of cell.

virtual int	GetCellDimension ()=0
	Return the topological dimensional of the cell (0,1,2, or 3).

virtual int	IsLinear ()
	Non-linear cells require special treatment beyond the usual cell type and connectivity list information.

virtual int	RequiresInitialization ()
	Some cells require initialization prior to access.

virtual void	Initialize ()

virtual int	IsExplicitCell ()
	Explicit cells require additional representational information beyond the usual cell type and connectivity list information.

virtual int	RequiresExplicitFaceRepresentation ()
	Determine whether the cell requires explicit face representation, and methods for setting and getting the faces (see vtkPolyhedron for example usage of these methods).

virtual void	SetFaces (vtkIdType *vtkNotUsed(faces))

virtual vtkIdType *	GetFaces ()

vtkPoints *	GetPoints ()
	Get the point coordinates for the cell.

vtkIdType	GetNumberOfPoints () const
	Return the number of points in the cell.

virtual int	GetNumberOfEdges ()=0
	Return the number of edges in the cell.

virtual int	GetNumberOfFaces ()=0
	Return the number of faces in the cell.

vtkIdList *	GetPointIds ()
	Return the list of point ids defining the cell.

vtkIdType	GetPointId (int ptId)
	For cell point i, return the actual point id.

virtual vtkCell *	GetEdge (int edgeId)=0
	Return the edge cell from the edgeId of the cell.

virtual vtkCell *	GetFace (int faceId)=0
	Return the face cell from the faceId of the cell.

virtual int	CellBoundary (int subId, const double pcoords[3], vtkIdList *pts)=0
	Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.

virtual int	EvaluatePosition (const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[])=0
	Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell.

virtual void	EvaluateLocation (int &subId, const double pcoords[3], double x[3], double *weights)=0
	Determine global coordinate (x[3]) from subId and parametric coordinates.

virtual void	Contour (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray verts, vtkCellArray lines, vtkCellArray polys, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd)=0
	Generate contouring primitives.

virtual void	Clip (double value, vtkDataArray cellScalars, vtkIncrementalPointLocator locator, vtkCellArray connectivity, vtkPointData inPd, vtkPointData outPd, vtkCellData inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)=0
	Cut (or clip) the cell based on the input cellScalars and the specified value.

virtual int	Inflate (double dist)
	Inflates the cell.

virtual double	ComputeBoundingSphere (double center[3]) const
	Computes the bounding sphere of the cell.

virtual int	IntersectWithLine (const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
	Intersect with a ray.

virtual int	Triangulate (int index, vtkIdList ptIds, vtkPoints pts)
	Generate simplices of proper dimension.

virtual int	TriangulateIds (int index, vtkIdList *ptIds)
	Generate simplices of proper dimension.

virtual int	TriangulateLocalIds (int index, vtkIdList *ptIds)=0
	Generate simplices of proper dimension.

virtual void	Derivatives (int subId, const double pcoords[3], const double values, int dim, double derivs)=0
	Compute derivatives given cell subId and parametric coordinates.

void	GetBounds (double bounds[6])
	Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax).

double *	GetBounds ()
	Compute cell bounding box (xmin,xmax,ymin,ymax,zmin,zmax).

double	GetLength2 ()
	Compute Length squared of cell (i.e., bounding box diagonal squared).

virtual int	GetParametricCenter (double pcoords[3])
	Return center of the cell in parametric coordinates.

virtual double	GetParametricDistance (const double pcoords[3])
	Return the distance of the parametric coordinate provided to the cell.

virtual int	IsPrimaryCell ()
	Return whether this cell type has a fixed topology or whether the topology varies depending on the data (e.g., vtkConvexPointSet).

virtual double *	GetParametricCoords ()
	Return a contiguous array of parametric coordinates of the points defining this cell.

virtual void	InterpolateFunctions (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
	Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this level.

virtual void	InterpolateDerivs (const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))

virtual int	IntersectWithCell (vtkCell *other, double tol=0.0)
	Intersects with an other cell.

virtual int	IntersectWithCell (vtkCell *other, const vtkBoundingBox &boudingBox, const vtkBoundingBox &otherBoundingBox, double tol=0.0)
	Intersects with an other cell.

Public Member Functions inherited from vtkObject
	vtkBaseTypeMacro (vtkObject, vtkObjectBase)

virtual void	DebugOn ()
	Turn debugging output on.

virtual void	DebugOff ()
	Turn debugging output off.

bool	GetDebug ()
	Get the value of the debug flag.

void	SetDebug (bool debugFlag)
	Set the value of the debug flag.

virtual void	Modified ()
	Update the modification time for this object.

virtual vtkMTimeType	GetMTime ()
	Return this object's modified time.

void	PrintSelf (ostream &os, vtkIndent indent) override
	Methods invoked by print to print information about the object including superclasses.

void	RemoveObserver (unsigned long tag)

void	RemoveObservers (unsigned long event)

void	RemoveObservers (const char *event)

void	RemoveAllObservers ()

vtkTypeBool	HasObserver (unsigned long event)

vtkTypeBool	HasObserver (const char *event)

vtkTypeBool	InvokeEvent (unsigned long event)

vtkTypeBool	InvokeEvent (const char *event)

std::string	GetObjectDescription () const override
	The object description printed in messages and PrintSelf output.

unsigned long	AddObserver (unsigned long event, vtkCommand *, float priority=0.0f)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

unsigned long	AddObserver (const char event, vtkCommand , float priority=0.0f)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

vtkCommand *	GetCommand (unsigned long tag)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

void	RemoveObserver (vtkCommand *)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

void	RemoveObservers (unsigned long event, vtkCommand *)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

void	RemoveObservers (const char event, vtkCommand )
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

vtkTypeBool	HasObserver (unsigned long event, vtkCommand *)
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

vtkTypeBool	HasObserver (const char event, vtkCommand )
	Allow people to add/remove/invoke observers (callbacks) to any VTK object.

template<class U , class T >
unsigned long	AddObserver (unsigned long event, U observer, void(T::*callback)(), float priority=0.0f)
	Overloads to AddObserver that allow developers to add class member functions as callbacks for events.

template<class U , class T >
unsigned long	AddObserver (unsigned long event, U observer, void(T::callback)(vtkObject , unsigned long, void *), float priority=0.0f)
	Overloads to AddObserver that allow developers to add class member functions as callbacks for events.

template<class U , class T >
unsigned long	AddObserver (unsigned long event, U observer, bool(T::callback)(vtkObject , unsigned long, void *), float priority=0.0f)
	Allow user to set the AbortFlagOn() with the return value of the callback method.

vtkTypeBool	InvokeEvent (unsigned long event, void *callData)
	This method invokes an event and return whether the event was aborted or not.

vtkTypeBool	InvokeEvent (const char event, void callData)
	This method invokes an event and return whether the event was aborted or not.

virtual void	SetObjectName (const std::string &objectName)
	Set/get the name of this object for reporting purposes.

virtual std::string	GetObjectName () const
	Set/get the name of this object for reporting purposes.

Public Member Functions inherited from vtkObjectBase
const char *	GetClassName () const
	Return the class name as a string.

virtual std::string	GetObjectDescription () const
	The object description printed in messages and PrintSelf output.

virtual vtkTypeBool	IsA (const char *name)
	Return 1 if this class is the same type of (or a subclass of) the named class.

virtual vtkIdType	GetNumberOfGenerationsFromBase (const char *name)
	Given the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class).

virtual void	Delete ()
	Delete a VTK object.

virtual void	FastDelete ()
	Delete a reference to this object.

void	InitializeObjectBase ()

void	Print (ostream &os)
	Print an object to an ostream.

void	Register (vtkObjectBase *o)
	Increase the reference count (mark as used by another object).

virtual void	UnRegister (vtkObjectBase *o)
	Decrease the reference count (release by another object).

int	GetReferenceCount ()
	Return the current reference count of this object.

void	SetReferenceCount (int)
	Sets the reference count.

bool	GetIsInMemkind () const
	A local state flag that remembers whether this object lives in the normal or extended memory space.

virtual void	PrintHeader (ostream &os, vtkIndent indent)
	Methods invoked by print to print information about the object including superclasses.

virtual void	PrintTrailer (ostream &os, vtkIndent indent)
	Methods invoked by print to print information about the object including superclasses.

virtual bool	UsesGarbageCollector () const
	Indicate whether the class uses `vtkGarbageCollector` or not.

Static Public Member Functions
static vtkTypeBool	IsTypeOf (const char *type)

static vtkHigherOrderTriangle *	SafeDownCast (vtkObjectBase *o)

static bool	PointCountSupportsUniformOrder (vtkIdType pointsPerTri)
	Return true if the number of points supports a cell of uniform degree along each axis.

static void	BarycentricIndex (vtkIdType index, vtkIdType *bindex, vtkIdType order)

static vtkIdType	Index (const vtkIdType *bindex, vtkIdType order)

static double	Eta (vtkIdType n, vtkIdType chi, double sigma)

static double	Deta (vtkIdType n, vtkIdType chi, double sigma)

Static Public Member Functions inherited from vtkNonLinearCell
static vtkTypeBool	IsTypeOf (const char *type)

static vtkNonLinearCell *	SafeDownCast (vtkObjectBase *o)

Static Public Member Functions inherited from vtkCell
static vtkTypeBool	IsTypeOf (const char *type)

static vtkCell *	SafeDownCast (vtkObjectBase *o)

Static Public Member Functions inherited from vtkObject
static vtkObject *	New ()
	Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

static void	BreakOnError ()
	This method is called when vtkErrorMacro executes.

static void	SetGlobalWarningDisplay (vtkTypeBool val)
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static void	GlobalWarningDisplayOn ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static void	GlobalWarningDisplayOff ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

static vtkTypeBool	GetGlobalWarningDisplay ()
	This is a global flag that controls whether any debug, warning or error messages are displayed.

Static Public Member Functions inherited from vtkObjectBase
static vtkTypeBool	IsTypeOf (const char *name)
	Return 1 if this class type is the same type of (or a subclass of) the named class.

static vtkIdType	GetNumberOfGenerationsFromBaseType (const char *name)
	Given a the name of a base class of this class type, return the distance of inheritance between this class type and the named class (how many generations of inheritance are there between this class and the named class).

static vtkObjectBase *	New ()
	Create an object with Debug turned off, modified time initialized to zero, and reference counting on.

static void	SetMemkindDirectory (const char *directoryname)
	The name of a directory, ideally mounted -o dax, to memory map an extended memory space within.

static bool	GetUsingMemkind ()
	A global state flag that controls whether vtkObjects are constructed in the usual way (the default) or within the extended memory space.

Protected Member Functions
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkHigherOrderTriangle ()

	~vtkHigherOrderTriangle () override

vtkIdType	GetNumberOfSubtriangles () const

vtkIdType	ComputeNumberOfSubtriangles ()

void	SubtriangleBarycentricPointIndices (vtkIdType cellIndex, vtkIdType(&pointBIndices)[3][3])

Protected Member Functions inherited from vtkNonLinearCell
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkNonLinearCell ()

	~vtkNonLinearCell () override=default

Protected Member Functions inherited from vtkCell
virtual vtkObjectBase *	NewInstanceInternal () const

	vtkCell ()

	~vtkCell () override

Protected Member Functions inherited from vtkObject
	vtkObject ()

	~vtkObject () override

void	RegisterInternal (vtkObjectBase *, vtkTypeBool check) override

void	UnRegisterInternal (vtkObjectBase *, vtkTypeBool check) override

void	InternalGrabFocus (vtkCommand mouseEvents, vtkCommand keypressEvents=nullptr)
	These methods allow a command to exclusively grab all events.

void	InternalReleaseFocus ()
	These methods allow a command to exclusively grab all events.

Protected Member Functions inherited from vtkObjectBase
	vtkObjectBase ()

virtual	~vtkObjectBase ()

virtual void	RegisterInternal (vtkObjectBase *, vtkTypeBool check)

virtual void	UnRegisterInternal (vtkObjectBase *, vtkTypeBool check)

virtual void	ReportReferences (vtkGarbageCollector *)

virtual void	ObjectFinalize ()

	vtkObjectBase (const vtkObjectBase &)

void	operator= (const vtkObjectBase &)

Protected Attributes
vtkTriangle *	Face

vtkDoubleArray *	Scalars

vtkIdType	Order

vtkIdType	NumberOfSubtriangles

vtkSmartPointer< vtkPoints >	PointParametricCoordinates

std::vector< vtkIdType >	BarycentricIndexMap

std::vector< vtkIdType >	IndexMap

std::vector< vtkIdType >	SubtriangleIndexMap

Protected Attributes inherited from vtkCell
double	Bounds [6]

Protected Attributes inherited from vtkObject
bool	Debug

vtkTimeStamp	MTime

vtkSubjectHelper *	SubjectHelper

std::string	ObjectName

Protected Attributes inherited from vtkObjectBase
std::atomic< int32_t >	ReferenceCount

vtkWeakPointerBase **	WeakPointers

Additional Inherited Members
Public Attributes inherited from vtkCell
vtkPoints *	Points

vtkIdList *	PointIds

Static Protected Member Functions inherited from vtkObjectBase
static vtkMallocingFunction	GetCurrentMallocFunction ()

static vtkReallocingFunction	GetCurrentReallocFunction ()

static vtkFreeingFunction	GetCurrentFreeFunction ()

static vtkFreeingFunction	GetAlternateFreeFunction ()

Detailed Description

A 2D cell that represents an arbitrary order HigherOrder triangle.

vtkHigherOrderTriangle is a concrete implementation of vtkCell to represent a 2D triangle using HigherOrder shape functions of user specified order.

The number of points in a HigherOrder cell determines the order over which they are iterated relative to the parametric coordinate system of the cell. The first points that are reported are vertices. They appear in the same order in which they would appear in linear cells. Mid-edge points are reported next. They are reported in sequence. For two- and three-dimensional (3D) cells, the following set of points to be reported are face points. Finally, 3D cells report points interior to their volume.

Definition at line 36 of file vtkHigherOrderTriangle.h.

Member Typedef Documentation

◆ Superclass

typedef vtkNonLinearCell vtkHigherOrderTriangle::Superclass

Definition at line 39 of file vtkHigherOrderTriangle.h.

Constructor & Destructor Documentation

◆ vtkHigherOrderTriangle()

vtkHigherOrderTriangle::vtkHigherOrderTriangle ( )

protected

◆ ~vtkHigherOrderTriangle()

vtkHigherOrderTriangle::~vtkHigherOrderTriangle ( )

overrideprotected

Member Function Documentation

◆ IsTypeOf()

static vtkTypeBool vtkHigherOrderTriangle::IsTypeOf ( const char * type )

static

◆ IsA()

virtual vtkTypeBool vtkHigherOrderTriangle::IsA ( const char * name )

virtual

Return 1 if this class is the same type of (or a subclass of) the named class.

Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkNonLinearCell.

Reimplemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ SafeDownCast()

static vtkHigherOrderTriangle * vtkHigherOrderTriangle::SafeDownCast ( vtkObjectBase * o )

static

◆ NewInstanceInternal()

virtual vtkObjectBase * vtkHigherOrderTriangle::NewInstanceInternal ( ) const

protectedvirtual

Reimplemented from vtkNonLinearCell.

Reimplemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ NewInstance()

vtkHigherOrderTriangle * vtkHigherOrderTriangle::NewInstance ( ) const

◆ PrintSelf()

void vtkHigherOrderTriangle::PrintSelf	(	ostream &	os,
		vtkIndent	indent
	)

overridevirtual

Methods invoked by print to print information about the object including superclasses.

Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from vtkCell.

Reimplemented in vtkLagrangeTriangle.

◆ GetCellType()

int vtkHigherOrderTriangle::GetCellType ( )

overridepure virtual

Return the type of cell.

Implements vtkCell.

Implemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ GetCellDimension()

int vtkHigherOrderTriangle::GetCellDimension ( )

inlineoverridevirtual

Return the topological dimensional of the cell (0,1,2, or 3).

Implements vtkCell.

Definition at line 43 of file vtkHigherOrderTriangle.h.

◆ RequiresInitialization()

int vtkHigherOrderTriangle::RequiresInitialization ( )

inlineoverridevirtual

Some cells require initialization prior to access.

For example, they may have to triangulate themselves or set up internal data structures.

Reimplemented from vtkCell.

Definition at line 44 of file vtkHigherOrderTriangle.h.

◆ GetNumberOfEdges()

int vtkHigherOrderTriangle::GetNumberOfEdges ( )

inlineoverridevirtual

Return the number of edges in the cell.

Implements vtkCell.

Definition at line 45 of file vtkHigherOrderTriangle.h.

◆ GetNumberOfFaces()

int vtkHigherOrderTriangle::GetNumberOfFaces ( )

inlineoverridevirtual

Return the number of faces in the cell.

Implements vtkCell.

Definition at line 46 of file vtkHigherOrderTriangle.h.

◆ GetEdge()

vtkCell * vtkHigherOrderTriangle::GetEdge ( int edgeId )

overridepure virtual

Return the edge cell from the edgeId of the cell.

Implements vtkCell.

Implemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ SetEdgeIdsAndPoints()

void vtkHigherOrderTriangle::SetEdgeIdsAndPoints	(	int	edgeId,
		const std::function< void(const vtkIdType &)> &	set_number_of_ids_and_points,
		const std::function< void(const vtkIdType &, const vtkIdType &)> &	set_ids_and_points
	)

◆ GetFace()

vtkCell * vtkHigherOrderTriangle::GetFace ( int faceId )

inlineoverridevirtual

Return the face cell from the faceId of the cell.

The returned vtkCell is an object owned by this instance, hence the return value must not be deleted by the caller.

Warning: Repeat calls to this function for different face ids will change the data stored in the internal member object whose pointer is returned by this function.; THIS METHOD IS NOT THREAD SAFE.

Implements vtkCell.

Definition at line 51 of file vtkHigherOrderTriangle.h.

◆ Initialize()

void vtkHigherOrderTriangle::Initialize ( )

overridevirtual

Reimplemented from vtkCell.

◆ CellBoundary()

int vtkHigherOrderTriangle::CellBoundary	(	int	subId,
		const double	pcoords[3],
		vtkIdList *	pts
	)

overridevirtual

Given parametric coordinates of a point, return the closest cell boundary, and whether the point is inside or outside of the cell.

The cell boundary is defined by a list of points (pts) that specify a face (3D cell), edge (2D cell), or vertex (1D cell). If the return value of the method is != 0, then the point is inside the cell.

Implements vtkCell.

◆ EvaluatePosition()

int vtkHigherOrderTriangle::EvaluatePosition	(	const double	x[3],
		double	closestPoint[3],
		int &	subId,
		double	pcoords[3],
		double &	dist2,
		double	weights[]
	)

overridevirtual

Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; evaluate parametric coordinates, sub-cell id (!=0 only if cell is composite), distance squared of point x[3] to cell (in particular, the sub-cell indicated), closest point on cell to x[3] (unless closestPoint is null, in which case, the closest point and dist2 are not found), and interpolation weights in cell.

(The number of weights is equal to the number of points defining the cell). Note: on rare occasions a -1 is returned from the method. This means that numerical error has occurred and all data returned from this method should be ignored. Also, inside/outside is determine parametrically. That is, a point is inside if it satisfies parametric limits. This can cause problems for cells of topological dimension 2 or less, since a point in 3D can project onto the cell within parametric limits but be "far" from the cell. Thus the value dist2 may be checked to determine true in/out.

Implements vtkCell.

◆ EvaluateLocation()

void vtkHigherOrderTriangle::EvaluateLocation	(	int &	subId,
		const double	pcoords[3],
		double	x[3],
		double *	weights
	)

overridevirtual

Determine global coordinate (x[3]) from subId and parametric coordinates.

Also returns interpolation weights. (The number of weights is equal to the number of points in the cell.)

Implements vtkCell.

◆ Contour()

void vtkHigherOrderTriangle::Contour	(	double	value,
		vtkDataArray *	cellScalars,
		vtkIncrementalPointLocator *	locator,
		vtkCellArray *	verts,
		vtkCellArray *	lines,
		vtkCellArray *	polys,
		vtkPointData *	inPd,
		vtkPointData *	outPd,
		vtkCellData *	inCd,
		vtkIdType	cellId,
		vtkCellData *	outCd
	)

overridevirtual

Generate contouring primitives.

The scalar list cellScalars are scalar values at each cell point. The point locator is essentially a points list that merges points as they are inserted (i.e., prevents duplicates). Contouring primitives can be vertices, lines, or polygons. It is possible to interpolate point data along the edge by providing input and output point data - if outPd is nullptr, then no interpolation is performed. Also, if the output cell data is non-nullptr, the cell data from the contoured cell is passed to the generated contouring primitives. (Note: the CopyAllocate() method must be invoked on both the output cell and point data. The cellId refers to the cell from which the cell data is copied.)

Implements vtkCell.

◆ Clip()

void vtkHigherOrderTriangle::Clip	(	double	value,
		vtkDataArray *	cellScalars,
		vtkIncrementalPointLocator *	locator,
		vtkCellArray *	connectivity,
		vtkPointData *	inPd,
		vtkPointData *	outPd,
		vtkCellData *	inCd,
		vtkIdType	cellId,
		vtkCellData *	outCd,
		int	insideOut
	)

overridevirtual

Cut (or clip) the cell based on the input cellScalars and the specified value.

The output of the clip operation will be one or more cells of the same topological dimension as the original cell. The flag insideOut controls what part of the cell is considered inside - normally cell points whose scalar value is greater than "value" are considered inside. If insideOut is on, this is reversed. Also, if the output cell data is non-nullptr, the cell data from the clipped cell is passed to the generated contouring primitives. (Note: the CopyAllocate() method must be invoked on both the output cell and point data. The cellId refers to the cell from which the cell data is copied.)

Implements vtkCell.

◆ IntersectWithLine()

int vtkHigherOrderTriangle::IntersectWithLine	(	const double	p1[3],
		const double	p2[3],
		double	tol,
		double &	t,
		double	x[3],
		double	pcoords[3],
		int &	subId
	)

overridevirtual

Intersect with a ray.

Return parametric coordinates (both line and cell) and global intersection coordinates, given ray definition p1[3], p2[3] and tolerance tol. The method returns non-zero value if intersection occurs. A parametric distance t between 0 and 1 along the ray representing the intersection point, the point coordinates x[3] in data coordinates and also pcoords[3] in parametric coordinates. subId is the index within the cell if a composed cell like a triangle strip.

Implements vtkCell.

◆ TriangulateLocalIds()

int vtkHigherOrderTriangle::TriangulateLocalIds	(	int	index,
		vtkIdList *	ptIds
	)

overridevirtual

Generate simplices of proper dimension.

If cell is 3D, tetrahedra are generated; if 2D triangles; if 1D lines; if 0D points. The form of the output is a sequence of points, each n+1 points (where n is topological cell dimension) defining a simplex. The index is a parameter that controls which triangulation to use (if more than one is possible). If numerical degeneracy encountered, 0 is returned, otherwise 1 is returned. This method does not insert new points: all the points that define the simplices are the points that define the cell. ptIds are the local indices with respect to the cell

Implements vtkCell.

◆ JacobianInverse()

void vtkHigherOrderTriangle::JacobianInverse	(	const double	pcoords[3],
		double **	inverse,
		double *	derivs
	)

◆ Derivatives()

void vtkHigherOrderTriangle::Derivatives	(	int	subId,
		const double	pcoords[3],
		const double *	values,
		int	dim,
		double *	derivs
	)

overridevirtual

Compute derivatives given cell subId and parametric coordinates.

The values array is a series of data value(s) at the cell points. There is a one-to-one correspondence between cell point and data value(s). Dim is the number of data values per cell point. Derivs are derivatives in the x-y-z coordinate directions for each data value. Thus, if computing derivatives for a scalar function in a hexahedron, dim=1, 8 values are supplied, and 3 deriv values are returned (i.e., derivatives in x-y-z directions). On the other hand, if computing derivatives of velocity (vx,vy,vz) dim=3, 24 values are supplied ((vx,vy,vz)1, (vx,vy,vz)2, ....()8), and 9 deriv values are returned ((d(vx)/dx),(d(vx)/dy),(d(vx)/dz), (d(vy)/dx),(d(vy)/dy), (d(vy)/dz), (d(vz)/dx),(d(vz)/dy),(d(vz)/dz)).

Implements vtkCell.

◆ SetParametricCoords()

void vtkHigherOrderTriangle::SetParametricCoords ( )

◆ GetParametricCoords()

double * vtkHigherOrderTriangle::GetParametricCoords ( )

overridevirtual

Return a contiguous array of parametric coordinates of the points defining this cell.

In other words, (px,py,pz, px,py,pz, etc..) The coordinates are ordered consistent with the definition of the point ordering for the cell. This method returns a non-nullptr pointer when the cell is a primary type (i.e., IsPrimaryCell() is true). Note that 3D parametric coordinates are returned no matter what the topological dimension of the cell.

Reimplemented from vtkCell.

◆ GetParametricCenter()

int vtkHigherOrderTriangle::GetParametricCenter ( double pcoords[3] )

overridevirtual

Return center of the cell in parametric coordinates.

Note that the parametric center is not always located at (0.5,0.5,0.5). The return value is the subId that the center is in (if a composite cell). If you want the center in x-y-z space, invoke the EvaluateLocation() method.

Reimplemented from vtkCell.

◆ GetParametricDistance()

double vtkHigherOrderTriangle::GetParametricDistance ( const double pcoords[3] )

overridevirtual

Return the distance of the parametric coordinate provided to the cell.

If inside the cell, a distance of zero is returned. This is used during picking to get the correct cell picked. (The tolerance will occasionally allow cells to be picked who are not really intersected "inside" the cell.)

Reimplemented from vtkCell.

◆ InterpolateFunctions()

void vtkHigherOrderTriangle::InterpolateFunctions	(	const double	pcoords[3],
		double *	weights
	)

overridepure virtual

Implemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ InterpolateDerivs()

void vtkHigherOrderTriangle::InterpolateDerivs	(	const double	pcoords[3],
		double *	derivs
	)

overridepure virtual

Implemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ GetOrder()

vtkIdType vtkHigherOrderTriangle::GetOrder ( ) const

inline

Definition at line 80 of file vtkHigherOrderTriangle.h.

◆ ComputeOrder()

vtkIdType vtkHigherOrderTriangle::ComputeOrder ( )

◆ PointCountSupportsUniformOrder()

static bool vtkHigherOrderTriangle::PointCountSupportsUniformOrder ( vtkIdType pointsPerTri )

static

Return true if the number of points supports a cell of uniform degree along each axis.

◆ ToBarycentricIndex()

void vtkHigherOrderTriangle::ToBarycentricIndex	(	vtkIdType	index,
		vtkIdType *	bindex
	)

◆ ToIndex()

vtkIdType vtkHigherOrderTriangle::ToIndex ( const vtkIdType * bindex )

◆ BarycentricIndex()

static void vtkHigherOrderTriangle::BarycentricIndex	(	vtkIdType	index,
		vtkIdType *	bindex,
		vtkIdType	order
	)

static

◆ Index()

static vtkIdType vtkHigherOrderTriangle::Index	(	const vtkIdType *	bindex,
		vtkIdType	order
	)

static

◆ Eta()

static double vtkHigherOrderTriangle::Eta	(	vtkIdType	n,
		vtkIdType	chi,
		double	sigma
	)

static

◆ Deta()

static double vtkHigherOrderTriangle::Deta	(	vtkIdType	n,
		vtkIdType	chi,
		double	sigma
	)

static

◆ GetEdgeCell()

virtual vtkHigherOrderCurve * vtkHigherOrderTriangle::GetEdgeCell ( )

pure virtual

Implemented in vtkBezierTriangle, and vtkLagrangeTriangle.

◆ GetNumberOfSubtriangles()

vtkIdType vtkHigherOrderTriangle::GetNumberOfSubtriangles ( ) const

inlineprotected

Definition at line 100 of file vtkHigherOrderTriangle.h.

◆ ComputeNumberOfSubtriangles()

vtkIdType vtkHigherOrderTriangle::ComputeNumberOfSubtriangles ( )

protected

◆ SubtriangleBarycentricPointIndices()

void vtkHigherOrderTriangle::SubtriangleBarycentricPointIndices	(	vtkIdType	cellIndex,
		vtkIdType(&)	pointBIndices[3][3]
	)

protected

Member Data Documentation

◆ Face

vtkTriangle* vtkHigherOrderTriangle::Face

protected

Definition at line 108 of file vtkHigherOrderTriangle.h.

◆ Scalars

vtkDoubleArray* vtkHigherOrderTriangle::Scalars

protected

Definition at line 109 of file vtkHigherOrderTriangle.h.

◆ Order

vtkIdType vtkHigherOrderTriangle::Order

protected

Definition at line 110 of file vtkHigherOrderTriangle.h.

◆ NumberOfSubtriangles

vtkIdType vtkHigherOrderTriangle::NumberOfSubtriangles

protected

Definition at line 111 of file vtkHigherOrderTriangle.h.

◆ PointParametricCoordinates

vtkSmartPointer<vtkPoints> vtkHigherOrderTriangle::PointParametricCoordinates

protected

Definition at line 112 of file vtkHigherOrderTriangle.h.

◆ BarycentricIndexMap

std::vector<vtkIdType> vtkHigherOrderTriangle::BarycentricIndexMap

protected

Definition at line 114 of file vtkHigherOrderTriangle.h.

◆ IndexMap

std::vector<vtkIdType> vtkHigherOrderTriangle::IndexMap

protected

Definition at line 115 of file vtkHigherOrderTriangle.h.

◆ SubtriangleIndexMap

std::vector<vtkIdType> vtkHigherOrderTriangle::SubtriangleIndexMap

protected

Definition at line 116 of file vtkHigherOrderTriangle.h.

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

Common/DataModel/vtkHigherOrderTriangle.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Superclass

Constructor & Destructor Documentation

◆ vtkHigherOrderTriangle()

◆ ~vtkHigherOrderTriangle()

Member Function Documentation

◆ IsTypeOf()

◆ IsA()

◆ SafeDownCast()

◆ NewInstanceInternal()

◆ NewInstance()

◆ PrintSelf()

◆ GetCellType()

◆ GetCellDimension()

◆ RequiresInitialization()

◆ GetNumberOfEdges()

◆ GetNumberOfFaces()

◆ GetEdge()

◆ SetEdgeIdsAndPoints()

◆ GetFace()

◆ Initialize()

◆ CellBoundary()

◆ EvaluatePosition()

◆ EvaluateLocation()

◆ Contour()

◆ Clip()

◆ IntersectWithLine()

◆ TriangulateLocalIds()

◆ JacobianInverse()

◆ Derivatives()

◆ SetParametricCoords()

◆ GetParametricCoords()

◆ GetParametricCenter()

◆ GetParametricDistance()

◆ InterpolateFunctions()

◆ InterpolateDerivs()

◆ GetOrder()

◆ ComputeOrder()

◆ PointCountSupportsUniformOrder()

◆ ToBarycentricIndex()

◆ ToIndex()

◆ BarycentricIndex()

◆ Index()

◆ Eta()

◆ Deta()

◆ GetEdgeCell()

◆ GetNumberOfSubtriangles()

◆ ComputeNumberOfSubtriangles()

◆ SubtriangleBarycentricPointIndices()

Member Data Documentation

◆ Face

◆ Scalars

◆ Order

◆ NumberOfSubtriangles

◆ PointParametricCoordinates

◆ BarycentricIndexMap

◆ IndexMap

◆ SubtriangleIndexMap