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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 | /*=========================================================================
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.
=========================================================================*/
// .NAME vtkBiQuadraticQuadraticWedge - cell represents a parabolic, 18-node isoparametric wedge
// .SECTION Description
// 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).
//
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticPyramid
//
// .SECTION 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);
// Description:
// Implement the vtkCell API. See the vtkCell API for descriptions
// of these methods.
int GetCellType () { return VTK_BIQUADRATIC_QUADRATIC_WEDGE; }
int GetCellDimension () { return 3; }
int GetNumberOfEdges () { return 9; }
int GetNumberOfFaces () { return 5; }
vtkCell *GetEdge (int edgeId);
vtkCell *GetFace (int faceId);
int CellBoundary (int subId, double pcoords[3], vtkIdList * pts);
void Contour (double value, vtkDataArray * cellScalars,
vtkIncrementalPointLocator * locator, vtkCellArray * verts,
vtkCellArray * lines, vtkCellArray * polys,
vtkPointData * inPd, vtkPointData * outPd, vtkCellData * inCd,
vtkIdType cellId, vtkCellData * outCd);
int EvaluatePosition (double x[3], double *closestPoint,
int &subId, double pcoords[3], double &dist2, double *weights);
void EvaluateLocation (int &subId, double pcoords[3], double x[3],
double *weights);
int Triangulate (int index, vtkIdList * ptIds, vtkPoints * pts);
void Derivatives (int subId, double pcoords[3], double *values, int dim,
double *derivs);
virtual double *GetParametricCoords ();
// Description:
// 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);
// Description:
// Line-edge intersection. Intersection has to occur within [0,1] parametric
// coordinates and with specified tolerance.
int IntersectWithLine (double p1[3], double p2[3], double tol, double &t,
double x[3], double pcoords[3], int &subId);
// Description:
// Return the center of the quadratic wedge in parametric coordinates.
int GetParametricCenter (double pcoords[3]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuadraticWedge::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions (double pcoords[3], double weights[15]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuadraticWedge::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs (double pcoords[3], double derivs[45]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions (double pcoords[3], double weights[15])
{
vtkBiQuadraticQuadraticWedge::InterpolationFunctions(pcoords,weights);
}
virtual void InterpolateDerivs (double pcoords[3], double derivs[45])
{
vtkBiQuadraticQuadraticWedge::InterpolationDerivs(pcoords,derivs);
}
// Description:
// Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
// Ids are related to the cell, not to the dataset.
static int *GetEdgeArray(int edgeId);
static int *GetFaceArray(int faceId);
// Description:
// Given parametric coordinates compute inverse Jacobian transformation
// matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
// function derivatives.
void JacobianInverse (double pcoords[3], double **inverse, double derivs[45]);
protected:
vtkBiQuadraticQuadraticWedge ();
~vtkBiQuadraticQuadraticWedge ();
vtkQuadraticEdge *Edge;
vtkQuadraticTriangle *TriangleFace;
vtkBiQuadraticQuad *Face;
vtkWedge *Wedge;
vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
private:
vtkBiQuadraticQuadraticWedge (const vtkBiQuadraticQuadraticWedge &); // Not implemented.
void operator = (const vtkBiQuadraticQuadraticWedge &); // Not implemented.
};
//----------------------------------------------------------------------------
// 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
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