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VTK
9.0.20210127
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27 #include "vtkCommonDataModelModule.h"
61 int EvaluatePosition(
const double x[3],
double closestPoint[3],
int& subId,
double pcoords[3],
62 double& dist2,
double weights[])
override;
63 void EvaluateLocation(
int& subId,
const double pcoords[3],
double x[3],
double* weights)
override;
66 int subId,
const double pcoords[3],
const double* values,
int dim,
double* derivs)
override;
83 static void InterpolationFunctions(
const double pcoords[3],
double sf[3]);
84 static void InterpolationDerivs(
const double pcoords[3],
double derivs[6]);
113 int IntersectWithLine(
const double p1[3],
const double p2[3],
double tol,
double& t,
double x[3],
114 double pcoords[3],
int& subId)
override;
130 static void TriangleCenter(
131 const double p1[3],
const double p2[3],
const double p3[3],
double center[3]);
137 static double TriangleArea(
const double p1[3],
const double p2[3],
const double p3[3]);
145 static double Circumcircle(
146 const double p1[2],
const double p2[2],
const double p3[2],
double center[2]);
160 static int BarycentricCoords(
const double x[2],
const double x1[2],
const double x2[2],
161 const double x3[2],
double bcoords[3]);
168 static int ProjectTo2D(
const double x1[3],
const double x2[3],
const double x3[3],
double v1[2],
169 double v2[2],
double v3[2]);
175 static void ComputeNormal(
vtkPoints* p,
int numPts,
const vtkIdType* pts,
double n[3]);
180 static void ComputeNormal(
181 const double v1[3],
const double v2[3],
const double v3[3],
double n[3]);
186 static void ComputeNormalDirection(
187 const double v1[3],
const double v2[3],
const double v3[3],
double n[3]);
194 static int TrianglesIntersect(
const double p1[3],
const double q1[3],
const double r1[3],
195 const double p2[3],
const double q2[3],
const double r2[3]);
203 static int PointInTriangle(
const double x[3],
const double x1[3],
const double x2[3],
204 const double x3[3],
const double tol2);
213 static void ComputeQuadric(
214 const double x1[3],
const double x2[3],
const double x3[3],
double quadric[4][4]);
215 static void ComputeQuadric(
216 const double x1[3],
const double x2[3],
const double x3[3],
vtkQuadric* quadric);
239 pcoords[0] = pcoords[1] = 1. / 3;
246 const double v1[3],
const double v2[3],
const double v3[3],
double n[3])
248 double ax, ay, az, bx, by, bz;
258 n[0] = (ay * bz - az * by);
259 n[1] = (az * bx - ax * bz);
260 n[2] = (ax * by - ay * bx);
265 const double v1[3],
const double v2[3],
const double v3[3],
double n[3])
271 if ((
length = sqrt((n[0] * n[0] + n[1] * n[1] + n[2] * n[2]))) != 0.0)
281 const double p1[3],
const double p2[3],
const double p3[3],
double center[3])
283 center[0] = (p1[0] + p2[0] + p3[0]) / 3.0;
284 center[1] = (p1[1] + p2[1] + p3[1]) / 3.0;
285 center[2] = (p1[2] + p2[2] + p3[2]) / 3.0;
represent and manipulate 3D points
virtual int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
Intersect with a ray.
static void ComputeNormal(vtkPoints *p, int numPts, const 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 float Norm(const float *x, int n)
Compute the norm of n-vector.
static void TriangleCenter(const double p1[3], const double p2[3], const double p3[3], double center[3])
Compute the center of the triangle.
virtual void Contour(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)=0
Generate contouring primitives.
represent and manipulate point attribute data
static vtkObject * New()
Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
void InterpolateFunctions(const double pcoords[3], double sf[3]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
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
virtual void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights)=0
Determine global coordinate (x[3]) from subId and parametric coordinates.
int GetCellType() override
See the vtkCell API for descriptions of these methods.
evaluate implicit quadric function
cell represents a 1D line
virtual int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts)=0
Generate simplices of proper dimension.
int GetNumberOfFaces() override
Return the number of faces in the cell.
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
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
object to represent cell connectivity
Abstract class in support of both point location and point insertion.
list of point or cell ids
a cell that represents a triangle
virtual int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts)=0
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
void InterpolateDerivs(const double pcoords[3], double derivs[6]) override
virtual double GetParametricDistance(const double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
virtual int EvaluatePosition(const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[])=0
Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; ev...
virtual double * GetParametricCoords())
Return a contiguous array of parametric coordinates of the points defining this cell.
virtual void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)=0
Cut (or clip) the cell based on the input cellScalars and the specified value.
virtual vtkCell * GetEdge(int edgeId)=0
Return the edge cell from the edgeId of the cell.
static void ComputeNormalDirection(const double v1[3], const double v2[3], const double v3[3], double n[3])
Compute the (unnormalized) triangle normal direction from three points.
virtual void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs)=0
Compute derivatives given cell subId and parametric coordinates.
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).
static double TriangleArea(const double p1[3], const double p2[3], const double p3[3])
Compute the area of a triangle in 3D.
int GetNumberOfEdges() override
Return the number of edges in the cell.
static void InterpolationDerivs(const double pcoords[3], double derivs[6])