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148 lines
6.5 KiB
C++
148 lines
6.5 KiB
C++
/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkHigherOrderInterpolation.h
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Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
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All rights reserved.
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See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
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This software is distributed WITHOUT ANY WARRANTY; without even
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the above copyright notice for more information.
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=========================================================================*/
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// .NAME vtkHigherOrderInterpolation
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// .SECTION Description
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// .SECTION See Also
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#ifndef vtkHigherOrderInterpolation_h
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#define vtkHigherOrderInterpolation_h
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#include "vtkCommonDataModelModule.h" // For export macro.
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#include "vtkObject.h"
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#include "vtkSmartPointer.h" // For API.
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#include <vector> // For scratch storage.
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// Define this to include support for a "complete" (21- vs 18-point) wedge.
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#define VTK_21_POINT_WEDGE true
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class vtkPoints;
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class vtkVector2i;
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class vtkVector3d;
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class vtkHigherOrderTriangle;
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class VTKCOMMONDATAMODEL_EXPORT vtkHigherOrderInterpolation : public vtkObject
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{
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public:
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// static vtkHigherOrderInterpolation* New();
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void PrintSelf(ostream& os, vtkIndent indent) override;
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vtkTypeMacro(vtkHigherOrderInterpolation, vtkObject);
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static int Tensor1ShapeFunctions(const int order[1], const double* pcoords, double* shape,
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void (*function_evaluate_shape_functions)(int, double, double*));
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static int Tensor1ShapeDerivatives(const int order[1], const double* pcoords, double* derivs,
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void (*function_evaluate_shape_and_gradient)(int, double, double*, double*));
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static int Tensor2ShapeFunctions(const int order[2], const double* pcoords, double* shape,
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void (*function_evaluate_shape_functions)(int, double, double*));
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static int Tensor2ShapeDerivatives(const int order[2], const double* pcoords, double* derivs,
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void (*function_evaluate_shape_and_gradient)(int, double, double*, double*));
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static int Tensor3ShapeFunctions(const int order[3], const double* pcoords, double* shape,
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void (*function_evaluate_shape_functions)(int, double, double*));
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static int Tensor3ShapeDerivatives(const int order[3], const double* pcoords, double* derivs,
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void (*function_evaluate_shape_and_gradient)(int, double, double*, double*));
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virtual void Tensor3EvaluateDerivative(const int order[3], const double* pcoords,
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vtkPoints* points, const double* fieldVals, int fieldDim, double* fieldDerivs) = 0;
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void Tensor3EvaluateDerivative(const int order[3], const double* pcoords, vtkPoints* points,
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const double* fieldVals, int fieldDim, double* fieldDerivs,
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void (*function_evaluate_shape_and_gradient)(int, double, double*, double*));
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static void WedgeShapeFunctions(const int order[3], const vtkIdType numberOfPoints,
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const double* pcoords, double* shape, vtkHigherOrderTriangle& tri,
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void (*function_evaluate_shape_functions)(int, double, double*));
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static void WedgeShapeDerivatives(const int order[3], const vtkIdType numberOfPoints,
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const double* pcoords, double* derivs, vtkHigherOrderTriangle& tri,
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void (*function_evaluate_shape_and_gradient)(int, double, double*, double*));
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/**
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* Compute the inverse of the Jacobian and put the values in `inverse`. Returns
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* 1 for success and 0 for failure (i.e. couldn't invert the Jacobian).
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*/
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int JacobianInverse(vtkPoints* points, const double* derivs, double** inverse);
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int JacobianInverseWedge(vtkPoints* points, const double* derivs, double** inverse);
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virtual void WedgeEvaluate(const int order[3], const vtkIdType numberOfPoints,
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const double* pcoords, double* fieldVals, int fieldDim, double* fieldAtPCoords) = 0;
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void WedgeEvaluate(const int order[3], const vtkIdType numberOfPoints, const double* pcoords,
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double* fieldVals, int fieldDim, double* fieldAtPCoords, vtkHigherOrderTriangle& tri,
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void (*function_evaluate_shape_functions)(int, double, double*));
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virtual void WedgeEvaluateDerivative(const int order[3], const double* pcoords, vtkPoints* points,
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const double* fieldVals, int fieldDim, double* fieldDerivs) = 0;
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void WedgeEvaluateDerivative(const int order[3], const double* pcoords, vtkPoints* points,
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const double* fieldVals, int fieldDim, double* fieldDerivs, vtkHigherOrderTriangle& tri,
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void (*function_evaluate_shape_and_gradient)(int, double, double*, double*));
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static vtkVector3d GetParametricHexCoordinates(int vertexId);
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static vtkVector2i GetPointIndicesBoundingHexEdge(int edgeId);
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static int GetVaryingParameterOfHexEdge(int edgeId);
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static vtkVector2i GetFixedParametersOfHexEdge(int edgeId);
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static const int* GetPointIndicesBoundingHexFace(int faceId) VTK_SIZEHINT(4);
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static const int* GetEdgeIndicesBoundingHexFace(int faceId) VTK_SIZEHINT(4);
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static vtkVector2i GetVaryingParametersOfHexFace(int faceId);
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static int GetFixedParameterOfHexFace(int faceId);
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static vtkVector3d GetParametricWedgeCoordinates(int vertexId);
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static vtkVector2i GetPointIndicesBoundingWedgeEdge(int edgeId);
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static int GetVaryingParameterOfWedgeEdge(int edgeId);
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static vtkVector2i GetFixedParametersOfWedgeEdge(int edgeId);
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static const int* GetPointIndicesBoundingWedgeFace(int faceId) VTK_SIZEHINT(4);
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static const int* GetEdgeIndicesBoundingWedgeFace(int faceId) VTK_SIZEHINT(4);
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static vtkVector2i GetVaryingParametersOfWedgeFace(int faceId);
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static int GetFixedParameterOfWedgeFace(int faceId);
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static void AppendCurveCollocationPoints(vtkSmartPointer<vtkPoints>& pts, const int order[1]);
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static void AppendQuadrilateralCollocationPoints(
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vtkSmartPointer<vtkPoints>& pts, const int order[2]);
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static void AppendHexahedronCollocationPoints(
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vtkSmartPointer<vtkPoints>& pts, const int order[3]);
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static void AppendWedgeCollocationPoints(vtkSmartPointer<vtkPoints>& pts, const int order[3]);
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template <int N>
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static int NumberOfIntervals(const int order[N]);
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protected:
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vtkHigherOrderInterpolation();
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~vtkHigherOrderInterpolation() override;
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void PrepareForOrder(const int order[3], const vtkIdType numberOfPoints);
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std::vector<double> ShapeSpace;
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std::vector<double> DerivSpace;
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private:
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vtkHigherOrderInterpolation(const vtkHigherOrderInterpolation&) = delete;
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void operator=(const vtkHigherOrderInterpolation&) = delete;
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};
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template <int N>
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int vtkHigherOrderInterpolation::NumberOfIntervals(const int order[N])
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{
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int ni = 1;
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for (int n = 0; n < N; ++n)
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{
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ni *= order[n];
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}
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return ni;
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}
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#endif // vtkHigherOrderInterpolation_h
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