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/*=========================================================================
Program: Visualization Toolkit
Module: vtkQuadraticPolygon.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 vtkQuadraticPolygon
* @brief a cell that represents a parabolic n-sided polygon
*
* vtkQuadraticPolygon is a concrete implementation of vtkNonLinearCell to
* represent a 2D n-sided (2*n nodes) parabolic polygon. The polygon cannot
* have any internal holes, and cannot self-intersect. The cell includes a
* mid-edge node for each of the n edges of the cell. The ordering of the
* 2*n points defining the cell are point ids (0..n-1 and n..2*n-1) where ids
* 0..n-1 define the corner vertices of the polygon; ids n..2*n-1 define the
* midedge nodes. Define the polygon with points ordered in the counter-
* clockwise direction; do not repeat the last point.
*
* @sa
* vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
* vtkQuadraticHexahedron vtkQuadraticWedge vtkQuadraticPyramid
*/
#ifndef vtkQuadraticPolygon_h
#define vtkQuadraticPolygon_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkPolygon;
class vtkIdTypeArray;
class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticPolygon : public vtkNonLinearCell
{
public:
static vtkQuadraticPolygon* New();
vtkTypeMacro(vtkQuadraticPolygon, 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_QUADRATIC_POLYGON; }
int GetCellDimension() override { return 2; }
int GetNumberOfEdges() override { return this->GetNumberOfPoints() / 2; }
int GetNumberOfFaces() override { return 0; }
vtkCell* GetEdge(int) override;
vtkCell* GetFace(int) override { return nullptr; }
int IsPrimaryCell() override { return 0; }
//@{
/**
* These methods are based on the vtkPolygon ones :
* the vtkQuadraticPolygon (with n edges and 2*n points)
* is transform into a vtkPolygon (with 2*n edges and 2*n points)
* and the vtkPolygon methods are called.
*/
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;
void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
vtkCellArray* polys, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
vtkIdType cellId, vtkCellData* outCd, int insideOut) 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;
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
double pcoords[3], int& subId) override;
void InterpolateFunctions(const double x[3], double* weights) override;
static void ComputeCentroid(vtkIdTypeArray* ids, vtkPoints* pts, double centroid[3]);
int ParameterizePolygon(
double p0[3], double p10[3], double& l10, double p20[3], double& l20, double n[3]);
static int PointInPolygon(double x[3], int numPts, double* pts, double bounds[6], double n[3]);
int Triangulate(vtkIdList* outTris);
int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
int NonDegenerateTriangulate(vtkIdList* outTris);
static double DistanceToPolygon(
double x[3], int numPts, double* pts, double bounds[6], double closest[3]);
static int IntersectPolygonWithPolygon(int npts, double* pts, double bounds[6], int npts2,
double* pts2, double bounds2[6], double tol, double x[3]);
static int IntersectConvex2DCells(
vtkCell* cell1, vtkCell* cell2, double tol, double p0[3], double p1[3]);
//@}
// Not implemented
void Derivatives(
int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
//@{
/**
* Set/Get the flag indicating whether to use Mean Value Coordinate for the
* interpolation. If true, InterpolateFunctions() uses the Mean Value
* Coordinate to compute weights. Otherwise, the conventional 1/r^2 method
* is used. The UseMVCInterpolation parameter is set to true by default.
*/
vtkGetMacro(UseMVCInterpolation, bool);
vtkSetMacro(UseMVCInterpolation, bool);
//@}
protected:
vtkQuadraticPolygon();
~vtkQuadraticPolygon() override;
// variables used by instances of this class
vtkPolygon* Polygon;
vtkQuadraticEdge* Edge;
// Parameter indicating whether to use Mean Value Coordinate algorithm
// for interpolation. The parameter is true by default.
bool UseMVCInterpolation;
//@{
/**
* Methods to transform a vtkQuadraticPolygon variable into a vtkPolygon
* variable.
*/
static void GetPermutationFromPolygon(vtkIdType nb, vtkIdList* permutation);
static void PermuteToPolygon(vtkIdType nbPoints, double* inPoints, double* outPoints);
static void PermuteToPolygon(vtkCell* inCell, vtkCell* outCell);
static void PermuteToPolygon(vtkPoints* inPoints, vtkPoints* outPoints);
static void PermuteToPolygon(vtkIdTypeArray* inIds, vtkIdTypeArray* outIds);
static void PermuteToPolygon(vtkDataArray* inDataArray, vtkDataArray* outDataArray);
void InitializePolygon();
//@}
//@{
/**
* Methods to transform a vtkPolygon variable into a vtkQuadraticPolygon
* variable.
*/
static void GetPermutationToPolygon(vtkIdType nb, vtkIdList* permutation);
static void PermuteFromPolygon(vtkIdType nb, double* values);
static void ConvertFromPolygon(vtkIdList* ids);
//@}
private:
vtkQuadraticPolygon(const vtkQuadraticPolygon&) = delete;
void operator=(const vtkQuadraticPolygon&) = delete;
};
#endif