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32 #include "vtkCommonDataModelModule.h"
70 int& subId,
double pcoords[3],
71 double& dist2,
double weights[])
override;
73 double *weights)
override;
75 void Derivatives(
int subId,
const double pcoords[3],
const double *values,
76 int dim,
double *derivs)
override;
93 int insideOut)
override;
128 double x[3],
double pcoords[3],
int& subId)
override;
144 static void TriangleCenter(
double p1[3],
double p2[3],
double p3[3],
151 static double TriangleArea(
double p1[3],
double p2[3],
double p3[3]);
175 double x3[2],
double bcoords[3]);
184 double v1[2],
double v2[2],
double v3[2]);
196 static void ComputeNormal(
double v1[3],
double v2[3],
double v3[3],
double n[3]);
201 static void ComputeNormalDirection(
double v1[3],
double v2[3],
double v3[3],
210 double p2[3],
double q2[3],
double r2[3]);
219 double x2[3],
double x3[3],
230 double quadric[4][4]);
250 pcoords[0] = pcoords[1] = 1./3; pcoords[2] = 0.0;
256 double v3[3],
double n[3])
258 double ax, ay, az, bx, by, bz;
261 ax = v3[0] - v2[0]; ay = v3[1] - v2[1]; az = v3[2] - v2[2];
262 bx = v1[0] - v2[0]; by = v1[1] - v2[1]; bz = v1[2] - v2[2];
264 n[0] = (ay * bz - az * by);
265 n[1] = (az * bx - ax * bz);
266 n[2] = (ax * by - ay * bx);
271 double v3[3],
double n[3])
277 if ( (
length = sqrt((n[0]*n[0] + n[1]*n[1] + n[2]*n[2]))) != 0.0 )
287 double p3[3],
double center[3])
289 center[0] = (p1[0]+p2[0]+p3[0]) / 3.0;
290 center[1] = (p1[1]+p2[1]+p3[1]) / 3.0;
291 center[2] = (p1[2]+p2[2]+p3[2]) / 3.0;
represent and manipulate 3D points
static int BarycentricCoords(double x[2], double x1[2], double x2[2], double x3[2], double bcoords[3])
Given a 2D point x[2], determine the barycentric coordinates of the point.
static float Norm(const float *x, int n)
Compute the norm of n-vector.
double GetParametricDistance(const double pcoords[3]) override
Return the distance of the parametric coordinate provided to the cell.
int * GetEdgeArray(int edgeId)
Return the ids of the vertices defining edge (edgeId).
represent and manipulate point attribute data
static double TriangleArea(double p1[3], double p2[3], double p3[3])
Compute the area of a triangle in 3D.
static vtkTriangle * New()
static void ComputeNormal(vtkPoints *p, int numPts, vtkIdType *pts, double n[3])
Compute the triangle normal from a points list, and a list of point ids that index into the points li...
static int TrianglesIntersect(double p1[3], double q1[3], double r1[3], double p2[3], double q2[3], double r2[3])
void InterpolateFunctions(const double pcoords[3], double sf[3]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
static int PointInTriangle(double x[3], double x1[3], double x2[3], double x3[3], double tol2)
void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
Clip this triangle using scalar value provided.
int GetParametricCenter(double pcoords[3]) override
Return the center of the triangle in parametric coordinates.
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
abstract superclass for arrays of numeric data
int GetCellType() override
See the vtkCell API for descriptions of these methods.
evaluate implicit quadric function
cell represents a 1D line
static int ProjectTo2D(double x1[3], double x2[3], double x3[3], double v1[2], double v2[2], double v3[2])
Project triangle defined in 3D to 2D coordinates.
static void ComputeNormalDirection(double v1[3], double v2[3], double v3[3], double n[3])
Compute the (unnormalized) triangle normal direction from three points.
int GetNumberOfFaces() override
Return the number of faces in the cell.
static void ComputeQuadric(double x1[3], double x2[3], double x3[3], vtkQuadric *quadric)
static double Circumcircle(double p1[2], double p2[2], double p3[2], double center[2])
Compute the circumcenter (center[3]) and radius squared (method return value) of a triangle defined b...
static void InterpolationFunctions(const double pcoords[3], double sf[3])
abstract class to specify cell behavior
represent and manipulate cell attribute data
a simple class to control print indentation
object to represent cell connectivity
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.
Abstract class in support of both point location and point insertion.
list of point or cell ids
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
Generate simplices of proper dimension.
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 cell that represents a triangle
static void TriangleCenter(double p1[3], double p2[3], double p3[3], double center[3])
Compute the center of the triangle.
void InterpolateDerivs(const double pcoords[3], double derivs[6]) override
static void ComputeQuadric(double x1[3], double x2[3], double x3[3], double quadric[4][4])
Calculate the error quadric for this triangle.
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...
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...
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 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.
int GetNumberOfEdges() override
Return the number of edges in the cell.
double ComputeArea()
A convenience function to compute the area of a vtkTriangle.
double * GetParametricCoords() override
Return a contiguous array of parametric coordinates of the points defining this cell.
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
Plane intersection plus in/out test on triangle.
vtkCell * GetEdge(int edgeId) override
Get the edge specified by edgeId (range 0 to 2) and return that edge's coordinates.
static void InterpolationDerivs(const double pcoords[3], double derivs[6])