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vtkLagrangeWedge.h
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vtkLagrangeWedge.h
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/*=========================================================================
Program: Visualization Toolkit
Module: vtkLagrangeWedge.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 vtkLagrangeWedge
* @brief A 3D cell that represents an arbitrary order Lagrange wedge
*
* vtkLagrangeWedge is a concrete implementation of vtkCell to represent a
* 3D wedge using Lagrange shape functions of user specified order.
* A wedge consists of two triangular and three quadrilateral faces.
* The first six points of the wedge (0-5) are the "corner" points
* where the first three points are the base of the wedge. This wedge
* point ordering is opposite the vtkWedge ordering though in that
* the base of the wedge defined by the first three points (0,1,2) form
* a triangle whose normal points inward (toward the triangular face (3,4,5)).
* While this is opposite the vtkWedge convention it is consistent with
* every other cell type in VTK. The first 2 parametric coordinates of the
* Lagrange wedge or for the triangular base and vary between 0 and 1. The
* third parametric coordinate is between the two triangular faces and goes
* from 0 to 1 as well.
*/
#ifndef vtkLagrangeWedge_h
#define vtkLagrangeWedge_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkNonLinearCell.h"
#include "vtkSmartPointer.h" // For member variable.
#include "vtkCellType.h" // For GetCellType.
#include "vtkNew.h" // For member variable.
class vtkCellData;
class vtkDoubleArray;
class vtkWedge;
class vtkIdList;
class vtkPointData;
class vtkPoints;
class vtkVector3d;
class vtkVector3i;
class vtkLagrangeCurve;
class vtkLagrangeInterpolation;
class vtkLagrangeQuadrilateral;
class vtkLagrangeTriangle;
class VTKCOMMONDATAMODEL_EXPORT vtkLagrangeWedge : public vtkNonLinearCell
{
public:
static vtkLagrangeWedge* New();
vtkTypeMacro(vtkLagrangeWedge,vtkNonLinearCell);
void PrintSelf(ostream& os, vtkIndent indent) override;
int GetCellType() override { return VTK_LAGRANGE_WEDGE; }
int GetCellDimension() override { return 3; }
int RequiresInitialization() override { return 1; }
int GetNumberOfEdges() override { return 9; }
int GetNumberOfFaces() override { return 5; }
vtkCell* GetEdge(int edgeId) override;
vtkCell* GetFace(int faceId) override;
void Initialize() override;
int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
int EvaluatePosition(const double x[3], double closestPoint[3],
int& subId, double pcoords[3],
double& dist2, double weights[]) override;
void EvaluateLocation(
int& subId, const double pcoords[3], double x[3],
double* weights) 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;
void Clip(
double value, vtkDataArray* cellScalars,
vtkIncrementalPointLocator* locator, vtkCellArray* polys,
vtkPointData* inPd, vtkPointData* outPd,
vtkCellData* inCd, vtkIdType cellId, vtkCellData* outCd,
int insideOut) override;
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t,
double x[3], double pcoords[3], int& subId) 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;
int GetParametricCenter(double center[3]) override;
double GetParametricDistance(const double pcoords[3]) override;
const int* GetOrder();
int GetOrder(int i) { return this->GetOrder()[i]; }
void InterpolateFunctions(const double pcoords[3], double* weights) override;
void InterpolateDerivs(const double pcoords[3], double* derivs) override;
bool SubCellCoordinatesFromId(vtkVector3i& ijk, int subId);
bool SubCellCoordinatesFromId(int& i, int& j, int& k, int subId);
static int PointIndexFromIJK(int i, int j, int k, const int* order);
int PointIndexFromIJK(int i, int j, int k);
bool TransformApproxToCellParams(int subCell, double* pcoords);
bool TransformFaceToCellParams(int bdyFace, double* pcoords);
static int GetNumberOfApproximatingWedges(const int* order);
int GetNumberOfApproximatingWedges()
{ return vtkLagrangeWedge::GetNumberOfApproximatingWedges(this->GetOrder()); }
protected:
vtkLagrangeWedge();
~vtkLagrangeWedge() override;
vtkWedge* GetApprox();
void PrepareApproxData(vtkPointData* pd, vtkCellData* cd, vtkIdType cellId, vtkDataArray* cellScalars);
vtkWedge* GetApproximateWedge(
int subId, vtkDataArray* scalarsIn = nullptr, vtkDataArray* scalarsOut = nullptr);
vtkLagrangeTriangle* GetTriangularFace(int iAxis, int k);
vtkLagrangeQuadrilateral* GetQuadrilateralFace(int di, int dj);
int Order[4];
vtkSmartPointer<vtkPoints> PointParametricCoordinates;
vtkSmartPointer<vtkWedge> Approx;
vtkSmartPointer<vtkPointData> ApproxPD;
vtkSmartPointer<vtkCellData> ApproxCD;
vtkNew<vtkDoubleArray> CellScalars;
vtkNew<vtkDoubleArray> Scalars;
vtkNew<vtkPoints> TmpPts;
vtkNew<vtkIdList> TmpIds;
vtkNew<vtkLagrangeQuadrilateral> BdyQuad;
vtkNew<vtkLagrangeTriangle> BdyTri;
vtkNew<vtkLagrangeCurve> BdyEdge;
vtkNew<vtkLagrangeInterpolation> Interp;
private:
vtkLagrangeWedge(const vtkLagrangeWedge&) = delete;
void operator=(const vtkLagrangeWedge&) = delete;
};
inline int vtkLagrangeWedge::GetParametricCenter(double center[3])
{
center[0] = center[1] = 1./3.;
center[2] = 0.5;
return 0;
}
#endif // vtkLagrangeWedge_h