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34 #ifndef vtkLagrangeTriangle_h
35 #define vtkLagrangeTriangle_h
37 #include "vtkCommonDataModelModule.h"
40 #define VTK_LAGRANGE_TRIANGLE_MAX_ORDER 6
42 #define MAX_POINTS ((VTK_LAGRANGE_TRIANGLE_MAX_ORDER + 1) * \
43 (VTK_LAGRANGE_TRIANGLE_MAX_ORDER + 2)/2)
45 #define MAX_SUBTRIANGLES (VTK_LAGRANGE_TRIANGLE_MAX_ORDER * \
46 VTK_LAGRANGE_TRIANGLE_MAX_ORDER)
78 int& subId,
double pcoords[3],
79 double& dist2,
double weights[])
override;
81 double *weights)
override;
91 int insideOut)
override;
93 double x[3],
double pcoords[3],
int& subId)
override;
96 void Derivatives(
int subId,
const double pcoords[3],
const double *values,
97 int dim,
double *derivs)
override;
152 #undef MAX_SUBTRIANGLES
represent and manipulate 3D points
#define VTK_LAGRANGE_TRIANGLE_MAX_ORDER
static void BarycentricIndex(vtkIdType index, vtkIdType *bindex, vtkIdType order)
vtkIdType GetNumberOfSubtriangles() const
int GetParametricCenter(double pcoords[3]) override
Return center of the cell in parametric coordinates.
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
Generate simplices of proper dimension.
void ToBarycentricIndex(vtkIdType index, vtkIdType *bindex)
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
Intersect with a ray.
represent and manipulate point attribute data
static int MaximumNumberOfPoints()
int GetNumberOfFaces() override
Return the number of faces in the cell.
void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
Cut (or clip) the cell based on the input cellScalars and the specified value.
int GetCellType() override
Return the type of cell.
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
abstract superclass for arrays of numeric data
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
void SubtriangleBarycentricPointIndices(vtkIdType cellIndex, vtkIdType(&pointBIndices)[3][3])
void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs) override
Compute derivatives given cell subId and parametric coordinates.
vtkIdType GetOrder() const
vtkIdType ComputeNumberOfSubtriangles()
static int MaximumOrder()
static vtkIdType Index(const vtkIdType *bindex, vtkIdType order)
int EvaluatePosition(const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; ev...
vtkIdType ToIndex(const vtkIdType *bindex)
double * GetParametricCoords() override
Return a contiguous array of parametric coordinates of the points defining this cell.
int GetNumberOfEdges() override
Return the number of edges in the cell.
double * ParametricCoordinates
int RequiresInitialization() override
Some cells require initialization prior to access.
vtkCell * GetEdge(int edgeId) override
Return the edge cell from the edgeId of the cell.
vtkIdType NumberOfSubtriangles
abstract class to specify cell behavior
represent and manipulate cell attribute data
void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights) override
Determine global coordinate (x[3]) from subId and parametric coordinates.
a simple class to control print indentation
object to represent cell connectivity
Abstract class in support of both point location and point insertion.
list of point or cell ids
A 2D cell that represents an arbitrary order Lagrange triangle.
~vtkLagrangeTriangle() override
static vtkLagrangeTriangle * New()
int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
a cell that represents a triangle
void Initialize() override
static void ComputeParametricCoords(double *, vtkIdType)
static double eta(vtkIdType n, vtkIdType chi, double sigma)
double GetParametricDistance(const double pcoords[3]) override
Return the distance of the parametric coordinate provided to the cell.
abstract superclass for non-linear cells
void InterpolateDerivs(const double pcoords[3], double *derivs) 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
Generate contouring primitives.
dynamic, self-adjusting array of double
void JacobianInverse(const double pcoords[3], double **inverse, double *derivs)
void InterpolateFunctions(const double pcoords[3], double *weights) override
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
static double d_eta(vtkIdType n, vtkIdType chi, double sigma)