1 /*=========================================================================
2
3 Program: Visualization Toolkit
4 Module: vtkQuadraticEdge.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 /**
16 * @class vtkQuadraticEdge
17 * @brief cell represents a parabolic, isoparametric edge
18 *
19 * vtkQuadraticEdge is a concrete implementation of vtkNonLinearCell to
20 * represent a one-dimensional, 3-nodes, isoparametric parabolic line. The
21 * interpolation is the standard finite element, quadratic isoparametric
22 * shape function. The cell includes a mid-edge node. The ordering of the
23 * three points defining the cell is point ids (0,1,2) where id #2 is the
24 * midedge node.
25 *
26 * @sa
27 * vtkQuadraticTriangle vtkQuadraticTetra vtkQuadraticWedge
28 * vtkQuadraticQuad vtkQuadraticHexahedron vtkQuadraticPyramid
29 */
30
31 #ifndef vtkQuadraticEdge_h
32 #define vtkQuadraticEdge_h
33
34 #include "vtkCommonDataModelModule.h" // For export macro
35 #include "vtkNonLinearCell.h"
36
37 class vtkLine;
38 class vtkDoubleArray;
39
40 class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticEdge : public vtkNonLinearCell
41 {
42 public:
43 static vtkQuadraticEdge* New();
44 vtkTypeMacro(vtkQuadraticEdge, vtkNonLinearCell);
45 void PrintSelf(ostream& os, vtkIndent indent) override;
46
47 /**
48 * Implement the vtkCell API. See the vtkCell API for descriptions
49 * of these methods.
50 */
GetCellType()51 int GetCellType() override { return VTK_QUADRATIC_EDGE; }
GetCellDimension()52 int GetCellDimension() override { return 1; }
GetNumberOfEdges()53 int GetNumberOfEdges() override { return 0; }
GetNumberOfFaces()54 int GetNumberOfFaces() override { return 0; }
GetEdge(int)55 vtkCell* GetEdge(int) override { return nullptr; }
GetFace(int)56 vtkCell* GetFace(int) override { return nullptr; }
57
58 int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
59 void Contour(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
60 vtkCellArray* verts, vtkCellArray* lines, vtkCellArray* polys, vtkPointData* inPd,
61 vtkPointData* outPd, vtkCellData* inCd, vtkIdType cellId, vtkCellData* outCd) override;
62 int EvaluatePosition(const double x[3], double closestPoint[3], int& subId, double pcoords[3],
63 double& dist2, double weights[]) override;
64 void EvaluateLocation(int& subId, const double pcoords[3], double x[3], double* weights) override;
65 int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
66 void Derivatives(
67 int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
68 double* GetParametricCoords() override;
69
70 /**
71 * Clip this edge using scalar value provided. Like contouring, except
72 * that it cuts the edge to produce linear line segments.
73 */
74 void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
75 vtkCellArray* lines, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
76 vtkIdType cellId, vtkCellData* outCd, int insideOut) override;
77
78 /**
79 * Line-edge intersection. Intersection has to occur within [0,1] parametric
80 * coordinates and with specified tolerance.
81 */
82 int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
83 double pcoords[3], int& subId) override;
84
85 /**
86 * Return the center of the quadratic tetra in parametric coordinates.
87 */
88 int GetParametricCenter(double pcoords[3]) override;
89
90 static void InterpolationFunctions(const double pcoords[3], double weights[3]);
91 static void InterpolationDerivs(const double pcoords[3], double derivs[3]);
92 ///@{
93 /**
94 * Compute the interpolation functions/derivatives
95 * (aka shape functions/derivatives)
96 */
InterpolateFunctions(const double pcoords[3],double weights[3])97 void InterpolateFunctions(const double pcoords[3], double weights[3]) override
98 {
99 vtkQuadraticEdge::InterpolationFunctions(pcoords, weights);
100 }
InterpolateDerivs(const double pcoords[3],double derivs[3])101 void InterpolateDerivs(const double pcoords[3], double derivs[3]) override
102 {
103 vtkQuadraticEdge::InterpolationDerivs(pcoords, derivs);
104 }
105 ///@}
106
107 protected:
108 vtkQuadraticEdge();
109 ~vtkQuadraticEdge() override;
110
111 vtkLine* Line;
112 vtkDoubleArray* Scalars; // used to avoid New/Delete in contouring/clipping
113
114 private:
115 vtkQuadraticEdge(const vtkQuadraticEdge&) = delete;
116 void operator=(const vtkQuadraticEdge&) = delete;
117 };
118 //----------------------------------------------------------------------------
GetParametricCenter(double pcoords[3])119 inline int vtkQuadraticEdge::GetParametricCenter(double pcoords[3])
120 {
121 pcoords[0] = 0.5;
122 pcoords[1] = pcoords[2] = 0.;
123 return 0;
124 }
125
126 #endif
127