1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
|
/*=========================================================================
Program: Visualization Toolkit
Module: vtkBiQuadraticQuadraticWedge.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
/**
* @class vtkBiQuadraticQuadraticWedge
* @brief cell represents a parabolic, 18-node isoparametric wedge
*
* vtkBiQuadraticQuadraticWedge is a concrete implementation of vtkNonLinearCell to
* represent a three-dimensional, 18-node isoparametric biquadratic
* wedge. The interpolation is the standard finite element,
* biquadratic-quadratic isoparametric shape function plus the linear functions.
* The cell includes a mid-edge node. The
* ordering of the 18 points defining the cell is point ids (0-5,6-15, 16-18)
* where point ids 0-5 are the six corner vertices of the wedge; followed by
* nine midedge nodes (6-15) and 3 center-face nodes. Note that these midedge
* nodes correspond lie
* on the edges defined by (0,1), (1,2), (2,0), (3,4), (4,5), (5,3), (0,3),
* (1,4), (2,5), and the center-face nodes are laying in quads 16-(0,1,4,3),
* 17-(1,2,5,4) and (2,0,3,5).
*
* @sa
* vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
* vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticPyramid
*
* @par Thanks:
* Thanks to Soeren Gebbert who developed this class and
* integrated it into VTK 5.0.
*/
#ifndef vtkBiQuadraticQuadraticWedge_h
#define vtkBiQuadraticQuadraticWedge_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkBiQuadraticQuad;
class vtkQuadraticTriangle;
class vtkWedge;
class vtkDoubleArray;
class VTKCOMMONDATAMODEL_EXPORT vtkBiQuadraticQuadraticWedge : public vtkNonLinearCell
{
public:
static vtkBiQuadraticQuadraticWedge* New();
vtkTypeMacro(vtkBiQuadraticQuadraticWedge, vtkNonLinearCell);
void PrintSelf(ostream& os, vtkIndent indent) override;
//@{
/**
* Implement the vtkCell API. See the vtkCell API for descriptions
* of these methods.
*/
int GetCellType() override { return VTK_BIQUADRATIC_QUADRATIC_WEDGE; }
int GetCellDimension() override { return 3; }
int GetNumberOfEdges() override { return 9; }
int GetNumberOfFaces() override { return 5; }
vtkCell* GetEdge(int edgeId) override;
vtkCell* GetFace(int faceId) override;
//@}
int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
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;
int EvaluatePosition(const double x[3], double* closestPoint, int& subId, double pcoords[3],
double& dist2, double* weights) override;
void EvaluateLocation(int& subId, const double pcoords[3], double x[3], double* weights) override;
int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
void Derivatives(
int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
double* GetParametricCoords() override;
/**
* Clip this quadratic Wedge using scalar value provided. Like
* contouring, except that it cuts the hex to produce linear
* tetrahedron.
*/
void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
vtkCellArray* tetras, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
vtkIdType cellId, vtkCellData* outCd, int insideOut) override;
/**
* Line-edge intersection. Intersection has to occur within [0,1] parametric
* coordinates and with specified tolerance.
*/
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
double pcoords[3], int& subId) override;
/**
* Return the center of the quadratic wedge in parametric coordinates.
*/
int GetParametricCenter(double pcoords[3]) override;
static void InterpolationFunctions(const double pcoords[3], double weights[15]);
static void InterpolationDerivs(const double pcoords[3], double derivs[45]);
//@{
/**
* Compute the interpolation functions/derivatives
* (aka shape functions/derivatives)
*/
void InterpolateFunctions(const double pcoords[3], double weights[15]) override
{
vtkBiQuadraticQuadraticWedge::InterpolationFunctions(pcoords, weights);
}
void InterpolateDerivs(const double pcoords[3], double derivs[45]) override
{
vtkBiQuadraticQuadraticWedge::InterpolationDerivs(pcoords, derivs);
}
//@}
//@{
/**
* Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
* Ids are related to the cell, not to the dataset.
*
* @note The return type changed. It used to be int*, it is now const vtkIdType*.
* This is so ids are unified between vtkCell and vtkPoints.
*/
static const vtkIdType* GetEdgeArray(vtkIdType edgeId);
static const vtkIdType* GetFaceArray(vtkIdType faceId);
//@}
/**
* Given parametric coordinates compute inverse Jacobian transformation
* matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
* function derivatives.
*/
void JacobianInverse(const double pcoords[3], double** inverse, double derivs[45]);
protected:
vtkBiQuadraticQuadraticWedge();
~vtkBiQuadraticQuadraticWedge() override;
vtkQuadraticEdge* Edge;
vtkQuadraticTriangle* TriangleFace;
vtkBiQuadraticQuad* Face;
vtkWedge* Wedge;
vtkDoubleArray* Scalars; // used to avoid New/Delete in contouring/clipping
private:
vtkBiQuadraticQuadraticWedge(const vtkBiQuadraticQuadraticWedge&) = delete;
void operator=(const vtkBiQuadraticQuadraticWedge&) = delete;
};
//----------------------------------------------------------------------------
// Return the center of the quadratic wedge in parametric coordinates.
inline int vtkBiQuadraticQuadraticWedge::GetParametricCenter(double pcoords[3])
{
pcoords[0] = pcoords[1] = 1. / 3;
pcoords[2] = 0.5;
return 0;
}
#endif
|
