VTK  9.3.0
vtkTetra.h
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1// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
2// SPDX-License-Identifier: BSD-3-Clause
30#ifndef vtkTetra_h
31#define vtkTetra_h
32
33#include "vtkCell3D.h"
34#include "vtkCommonDataModelModule.h" // For export macro
35
36VTK_ABI_NAMESPACE_BEGIN
37class vtkLine;
38class vtkTriangle;
41
42class VTKCOMMONDATAMODEL_EXPORT vtkTetra : public vtkCell3D
43{
44public:
45 static vtkTetra* New();
46 vtkTypeMacro(vtkTetra, vtkCell3D);
47 void PrintSelf(ostream& os, vtkIndent indent) override;
48
50
53 void GetEdgePoints(vtkIdType edgeId, const vtkIdType*& pts) override;
54 vtkIdType GetFacePoints(vtkIdType faceId, const vtkIdType*& pts) override;
55 void GetEdgeToAdjacentFaces(vtkIdType edgeId, const vtkIdType*& pts) override;
56 vtkIdType GetFaceToAdjacentFaces(vtkIdType faceId, const vtkIdType*& faceIds) override;
57 vtkIdType GetPointToIncidentEdges(vtkIdType pointId, const vtkIdType*& edgeIds) override;
58 vtkIdType GetPointToIncidentFaces(vtkIdType pointId, const vtkIdType*& faceIds) override;
59 vtkIdType GetPointToOneRingPoints(vtkIdType pointId, const vtkIdType*& pts) override;
60 bool GetCentroid(double centroid[3]) const override;
61 bool IsInsideOut() override;
63
67 static constexpr vtkIdType NumberOfPoints = 4;
68
72 static constexpr vtkIdType NumberOfEdges = 6;
73
77 static constexpr vtkIdType NumberOfFaces = 4;
78
83 static constexpr vtkIdType MaximumFaceSize = 3;
84
90 static constexpr vtkIdType MaximumValence = 3;
91
93
96 int GetCellType() override { return VTK_TETRA; }
97 int GetNumberOfEdges() override { return 6; }
98 int GetNumberOfFaces() override { return 4; }
99 vtkCell* GetEdge(int edgeId) override;
100 vtkCell* GetFace(int faceId) override;
101 void Contour(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
102 vtkCellArray* verts, vtkCellArray* lines, vtkCellArray* polys, vtkPointData* inPd,
103 vtkPointData* outPd, vtkCellData* inCd, vtkIdType cellId, vtkCellData* outCd) override;
104 void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
105 vtkCellArray* connectivity, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
106 vtkIdType cellId, vtkCellData* outCd, int insideOut) override;
107 int EvaluatePosition(const double x[3], double closestPoint[3], int& subId, double pcoords[3],
108 double& dist2, double weights[]) override;
109 void EvaluateLocation(int& subId, const double pcoords[3], double x[3], double* weights) override;
110 int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
111 double pcoords[3], int& subId) override;
112 int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
114 int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
115 double* GetParametricCoords() override;
117
125 static int* GetTriangleCases(int caseId);
126
132 int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
133
137 int GetParametricCenter(double pcoords[3]) override;
138
143 double GetParametricDistance(const double pcoords[3]) override;
144
148 static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3], double center[3]);
149
155 static double Circumsphere(
156 double x1[3], double x2[3], double x3[3], double x4[3], double center[3]);
157
163 static double Insphere(double p1[3], double p2[3], double p3[3], double p4[3], double center[3]);
164
178 double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4]);
179
184 static double ComputeVolume(double p1[3], double p2[3], double p3[3], double p4[3]);
185
191 int JacobianInverse(double** inverse, double derivs[12]);
192
193 static void InterpolationFunctions(const double pcoords[3], double weights[4]);
194 static void InterpolationDerivs(const double pcoords[3], double derivs[12]);
196
200 void InterpolateFunctions(const double pcoords[3], double weights[4]) override
201 {
202 vtkTetra::InterpolationFunctions(pcoords, weights);
203 }
204 void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
205 {
206 vtkTetra::InterpolationDerivs(pcoords, derivs);
207 }
209
211
222
227
232
237
242
247
251 static bool ComputeCentroid(vtkPoints* points, const vtkIdType* pointIds, double centroid[3]);
252
253protected:
255 ~vtkTetra() override;
256
259
260private:
261 vtkTetra(const vtkTetra&) = delete;
262 void operator=(const vtkTetra&) = delete;
263};
264
265inline int vtkTetra::GetParametricCenter(double pcoords[3])
266{
267 pcoords[0] = pcoords[1] = pcoords[2] = 0.25;
268 return 0;
269}
270
271VTK_ABI_NAMESPACE_END
272#endif
abstract class to specify 3D cell interface
Definition vtkCell3D.h:28
object to represent cell connectivity
represent and manipulate cell attribute data
Definition vtkCellData.h:40
abstract class to specify cell behavior
Definition vtkCell.h:59
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
abstract superclass for arrays of numeric data
list of point or cell ids
Definition vtkIdList.h:32
Abstract class in support of both point location and point insertion.
a simple class to control print indentation
Definition vtkIndent.h:38
cell represents a 1D line
Definition vtkLine.h:32
represent and manipulate point attribute data
represent and manipulate 3D points
Definition vtkPoints.h:38
a 3D cell that represents a tetrahedron
Definition vtkTetra.h:43
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs) override
See the vtkCell API for descriptions of these methods.
bool GetCentroid(double centroid[3]) const override
See vtkCell3D API for description of these methods.
static const vtkIdType * GetPointToOneRingPointsArray(vtkIdType pointId)
Static method version of GetPointToOneRingPoints.
void GetEdgeToAdjacentFaces(vtkIdType edgeId, const vtkIdType *&pts) override
See vtkCell3D API for description of these methods.
static const vtkIdType * GetPointToIncidentEdgesArray(vtkIdType pointId)
Static method version of GetPointToIncidentEdgesArray.
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
See the vtkCell API for descriptions of these methods.
static void InterpolationDerivs(const double pcoords[3], double derivs[12])
static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
Compute the center of the tetrahedron,.
void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
See the vtkCell API for descriptions of these methods.
vtkIdType GetPointToIncidentEdges(vtkIdType pointId, const vtkIdType *&edgeIds) override
See vtkCell3D API for description of these methods.
double GetParametricDistance(const double pcoords[3]) override
Return the distance of the parametric coordinate provided to the cell.
vtkCell * GetEdge(int edgeId) override
See the vtkCell API for descriptions of these methods.
int GetParametricCenter(double pcoords[3]) override
Return the center of the tetrahedron in parametric coordinates.
Definition vtkTetra.h:265
static int * GetTriangleCases(int caseId)
Return the case table for table-based isocontouring (aka marching cubes style implementations).
static const vtkIdType * GetFaceArray(vtkIdType faceId)
Return the ids of the vertices defining edge/face (edgeId/‘faceId’).
vtkTriangle * Triangle
Definition vtkTetra.h:258
double * GetParametricCoords() override
See the vtkCell API for descriptions of these methods.
static const vtkIdType * GetEdgeToAdjacentFacesArray(vtkIdType edgeId)
Static method version of GetEdgeToAdjacentFaces.
void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights) override
See the vtkCell API for descriptions of these methods.
bool IsInsideOut() override
See vtkCell3D API for description of these methods.
~vtkTetra() override
void InterpolateFunctions(const double pcoords[3], double weights[4]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition vtkTetra.h:200
static const vtkIdType * GetPointToIncidentFacesArray(vtkIdType pointId)
Static method version of GetPointToIncidentFacesArray.
static const vtkIdType * GetFaceToAdjacentFacesArray(vtkIdType faceId)
Static method version of GetFaceToAdjacentFaces.
static int BarycentricCoords(double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4])
Given a 3D point x[3], determine the barycentric coordinates of the point.
static const vtkIdType * GetEdgeArray(vtkIdType edgeId)
Return the ids of the vertices defining edge/face (edgeId/‘faceId’).
static double ComputeVolume(double p1[3], double p2[3], double p3[3], double p4[3])
Compute the volume of a tetrahedron defined by the four points p1, p2, p3, and p4.
static bool ComputeCentroid(vtkPoints *points, const vtkIdType *pointIds, double centroid[3])
Static method version of GetCentroid.
int JacobianInverse(double **inverse, double derivs[12])
Given parametric coordinates compute inverse Jacobian transformation matrix.
int GetNumberOfEdges() override
See the vtkCell API for descriptions of these methods.
Definition vtkTetra.h:97
vtkIdType GetFacePoints(vtkIdType faceId, const vtkIdType *&pts) override
See vtkCell3D API for description of these methods.
static double Insphere(double p1[3], double p2[3], double p3[3], double p4[3], double center[3])
Compute the center (center[3]) and radius (method return value) of a sphere that just fits inside the...
void GetEdgePoints(vtkIdType edgeId, const vtkIdType *&pts) override
See vtkCell3D API for description of these methods.
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
See the vtkCell API for descriptions of these methods.
vtkIdType GetPointToIncidentFaces(vtkIdType pointId, const vtkIdType *&faceIds) override
See vtkCell3D API for description of these methods.
int EvaluatePosition(const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
See the vtkCell API for descriptions of these methods.
vtkIdType GetFaceToAdjacentFaces(vtkIdType faceId, const vtkIdType *&faceIds) override
See vtkCell3D API for description of these methods.
int GetNumberOfFaces() override
See the vtkCell API for descriptions of these methods.
Definition vtkTetra.h:98
vtkIdType GetPointToOneRingPoints(vtkIdType pointId, const vtkIdType *&pts) override
See vtkCell3D API for description of these methods.
static vtkTetra * New()
static double Circumsphere(double x1[3], double x2[3], double x3[3], double x4[3], double center[3])
Compute the circumcenter (center[3]) and radius squared (method return value) of a tetrahedron define...
vtkLine * Line
Definition vtkTetra.h:257
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
See the vtkCell API for descriptions of these methods.
vtkCell * GetFace(int faceId) override
See the vtkCell API for descriptions of these methods.
int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override
Returns the set of points that are on the boundary of the tetrahedron that are closest parametrically...
int GetCellType() override
See the vtkCell API for descriptions of these methods.
Definition vtkTetra.h:96
void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition vtkTetra.h:204
static void InterpolationFunctions(const double pcoords[3], double weights[4])
a cell that represents a triangle
Definition vtkTriangle.h:37
dataset represents arbitrary combinations of all possible cell types
@ VTK_TETRA
Definition vtkCellType.h:47
int vtkIdType
Definition vtkType.h:315
#define VTK_SIZEHINT(...)