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vtkLagrangeTriangle.h
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1 /*=========================================================================
2 
3  Program: Visualization Toolkit
4  Module: vtkLagrangeTriangle.h
5 
6  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
7  All rights reserved.
8  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
9 
10  This software is distributed WITHOUT ANY WARRANTY; without even
11  the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12  PURPOSE. See the above copyright notice for more information.
13 
14 =========================================================================*/
15 // .NAME vtkLagrangeTriangle
16 // .SECTION Description
17 // .SECTION See Also
18 
19 #ifndef vtkLagrangeTriangle_h
20 #define vtkLagrangeTriangle_h
21 
22 #include "vtkCommonDataModelModule.h" // For export macro
23 #include "vtkNonLinearCell.h"
24 
25 #define VTK_LAGRANGE_TRIANGLE_MAX_ORDER 6
26 
27 #define MAX_POINTS ((VTK_LAGRANGE_TRIANGLE_MAX_ORDER + 1) * \
28  (VTK_LAGRANGE_TRIANGLE_MAX_ORDER + 2)/2)
29 
30 #define MAX_SUBTRIANGLES (VTK_LAGRANGE_TRIANGLE_MAX_ORDER * \
31  VTK_LAGRANGE_TRIANGLE_MAX_ORDER)
32 
33 class vtkDoubleArray;
34 class vtkLagrangeCurve;
35 class vtkTriangle;
36 
37 class VTKCOMMONDATAMODEL_EXPORT vtkLagrangeTriangle : public vtkNonLinearCell
38 {
39 public:
40  static vtkLagrangeTriangle *New();
42  void PrintSelf(ostream& os, vtkIndent indent) override;
43 
44  int GetCellType() override { return VTK_LAGRANGE_TRIANGLE; }
45  int GetCellDimension() override { return 2; }
46  int RequiresInitialization() override { return 1; }
47  int GetNumberOfEdges() override { return 3; }
48  int GetNumberOfFaces() override { return 0; }
49  vtkCell *GetEdge(int edgeId) override;
50  vtkCell *GetFace(int) override { return 0; }
51 
52  void Initialize() override;
53 
55  static int MaximumNumberOfPoints()
56  {
57  return ((vtkLagrangeTriangle::MaximumOrder() + 1) *
59  }
60 
61  int CellBoundary(int subId, double pcoords[3], vtkIdList *pts) override;
62  int EvaluatePosition(double x[3], double* closestPoint,
63  int& subId, double pcoords[3],
64  double& dist2, double *weights) override;
65  void EvaluateLocation(int& subId, double pcoords[3], double x[3],
66  double *weights) override;
67  void Contour(double value, vtkDataArray *cellScalars,
69  vtkCellArray *lines, vtkCellArray *polys,
70  vtkPointData *inPd, vtkPointData *outPd,
71  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
72  void Clip(double value, vtkDataArray *cellScalars,
74  vtkPointData *inPd, vtkPointData *outPd,
75  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
76  int insideOut) override;
77  int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
78  double x[3], double pcoords[3], int& subId) override;
79  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
80  void JacobianInverse(double pcoords[3], double** inverse, double* derivs);
81  void Derivatives(int subId, double pcoords[3], double *values,
82  int dim, double *derivs) override;
83  double* GetParametricCoords() override;
84  static void ComputeParametricCoords(double*,vtkIdType);
85 
86  int GetParametricCenter(double pcoords[3]) override;
87  double GetParametricDistance(double pcoords[3]) override;
88 
89  void InterpolateFunctions(double pcoords[3], double* weights) override;
90  void InterpolateDerivs(double pcoords[3], double* derivs) override;
91 
92  vtkIdType GetOrder() const { return this->Order; }
93  vtkIdType ComputeOrder();
94 
95  void ToBarycentricIndex(vtkIdType index, vtkIdType* bindex);
96  vtkIdType ToIndex(const vtkIdType* bindex);
97 
98  static void BarycentricIndex(vtkIdType index, vtkIdType* bindex,
100  static vtkIdType Index(const vtkIdType* bindex, vtkIdType order);
101 
102  static double eta(vtkIdType n, vtkIdType chi, double sigma);
103  static double d_eta(vtkIdType n, vtkIdType chi,double sigma);
104 
105 protected:
107  ~vtkLagrangeTriangle() override;
108 
109  vtkIdType GetNumberOfSubtriangles() const {return this->NumberOfSubtriangles;}
110  vtkIdType ComputeNumberOfSubtriangles();
111 
112  // Description:
113  // Given the index of the subtriangle, compute the barycentric indices of
114  // the subtriangle's vertices.
115  void SubtriangleBarycentricPointIndices(vtkIdType cellIndex,
116  vtkIdType (&pointBIndices)[3][3]);
117 
120  vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
124 
126  vtkIdType BarycentricIndexMap[3*MAX_POINTS];
129  vtkIdType SubtriangleIndexMap[9*MAX_SUBTRIANGLES];
130 
131 private:
132  vtkLagrangeTriangle(const vtkLagrangeTriangle&) = delete;
133  void operator=(const vtkLagrangeTriangle&) = delete;
134 };
135 
136 #undef MAX_POINTS
137 #undef MAX_SUBTRIANGLES
138 
139 #endif
#define VTK_LAGRANGE_TRIANGLE_MAX_ORDER
represent and manipulate point attribute data
Definition: vtkPointData.h:37
int GetCellType() override
Return the type of cell.
#define MAX_POINTS
int GetNumberOfFaces() override
Return the number of faces in the cell.
int RequiresInitialization() override
Some cells require initialization prior to access.
virtual void InterpolateFunctions(double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this leve...
Definition: vtkCell.h:357
virtual double * GetParametricCoords()
Return a contiguous array of parametric coordinates of the points defining this cell.
represent and manipulate cell attribute data
Definition: vtkCellData.h:38
Abstract class in support of both point location and point insertion.
virtual int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts)=0
Generate simplices of proper dimension.
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
virtual void EvaluateLocation(int &subId, double pcoords[3], double x[3], double *weights)=0
Determine global coordinate (x[3]) from subId and parametric coordinates.
vtkDoubleArray * Scalars
virtual int EvaluatePosition(double x[3], double *closestPoint, 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; ev...
abstract superclass for non-linear cells
int vtkIdType
Definition: vtkType.h:345
static int MaximumNumberOfPoints()
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
dynamic, self-adjusting array of double
abstract class to specify cell behavior
Definition: vtkCell.h:59
virtual double GetParametricDistance(double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
a simple class to control print indentation
Definition: vtkIndent.h:39
vtkIdType GetNumberOfSubtriangles() const
list of point or cell ids
Definition: vtkIdList.h:36
virtual void Derivatives(int subId, double pcoords[3], double *values, int dim, double *derivs)=0
Compute derivatives given cell subId and parametric coordinates.
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:54
virtual int IntersectWithLine(double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
Intersect with a ray.
vtkLagrangeCurve * Edge
virtual void InterpolateDerivs(double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))
Definition: vtkCell.h:360
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.
object to represent cell connectivity
Definition: vtkCellArray.h:50
virtual vtkCell * GetEdge(int edgeId)=0
Return the edge cell from the edgeId of the cell.
#define MAX_SUBTRIANGLES
a cell that represents a triangle
Definition: vtkTriangle.h:41
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 int CellBoundary(int subId, double pcoords[3], vtkIdList *pts)=0
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
virtual void Initialize()
Definition: vtkCell.h:114
static vtkObject * New()
Create an object with Debug turned off, modified time initialized to zero, and reference counting on...
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
int GetNumberOfEdges() override
Return the number of edges in the cell.
represent and manipulate 3D points
Definition: vtkPoints.h:39
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
vtkIdType GetOrder() const