/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkLine.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.

=========================================================================*/
// .NAME vtkLine - cell represents a 1D line
// .SECTION Description
// vtkLine is a concrete implementation of vtkCell to represent a 1D line.

#ifndef vtkLine_h
#define vtkLine_h

#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkCell.h"
class vtkIncrementalPointLocator;

class VTKCOMMONDATAMODEL_EXPORT vtkLine : public vtkCell
{
public:
  static vtkLine *New();
  vtkTypeMacro(vtkLine,vtkCell);
  void PrintSelf(ostream& os, vtkIndent indent) VTK_OVERRIDE;

  // Description:
  // See the vtkCell API for descriptions of these methods.
  int GetCellType() {return VTK_LINE;};
  int GetCellDimension() {return 1;};
  int GetNumberOfEdges() {return 0;};
  int GetNumberOfFaces() {return 0;};
  vtkCell *GetEdge(int) {return 0;};
  vtkCell *GetFace(int) {return 0;};
  int CellBoundary(int subId, double pcoords[3], vtkIdList *pts);
  void Contour(double value, vtkDataArray *cellScalars,
               vtkIncrementalPointLocator *locator, vtkCellArray *verts,
               vtkCellArray *lines, vtkCellArray *polys,
               vtkPointData *inPd, vtkPointData *outPd,
               vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd);
  int EvaluatePosition(double x[3], double* closestPoint,
                       int& subId, double pcoords[3],
                       double& dist2, double *weights);
  void EvaluateLocation(int& subId, double pcoords[3], double x[3],
                        double *weights);
  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts);
  void Derivatives(int subId, double pcoords[3], double *values,
                   int dim, double *derivs);
  virtual double *GetParametricCoords();

  // Description:
  // Clip this line using scalar value provided. Like contouring, except
  // that it cuts the line to produce other lines.
  void Clip(double value, vtkDataArray *cellScalars,
            vtkIncrementalPointLocator *locator, vtkCellArray *lines,
            vtkPointData *inPd, vtkPointData *outPd,
            vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
            int insideOut);

  // Description:
  // Return the center of the triangle in parametric coordinates.
  int GetParametricCenter(double pcoords[3]);

  // Description:
  // Line-line intersection. Intersection has to occur within [0,1] parametric
  // coordinates and with specified tolerance.
  int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
                        double x[3], double pcoords[3], int& subId);


  // Description:
  // Performs intersection of the projection of two finite 3D lines onto a 2D
  // plane. An intersection is found if the projection of the two lines onto
  // the plane perpendicular to the cross product of the two lines intersect.
  // The parameters (u,v) are the parametric coordinates of the lines at the
  // position of closest approach.
  static int Intersection(double p1[3], double p2[3],
                          double x1[3], double x2[3],
                          double& u, double& v);


  // Description:
  // Performs intersection of two finite 3D lines. An intersection is found if
  // the projection of the two lines onto the plane perpendicular to the cross
  // product of the two lines intersect, and if the distance between the
  // closest points of approach are within a relative tolerance. The parameters
  // (u,v) are the parametric coordinates of the lines at the position of
  // closest approach.
  //
  // NOTE: "Unlike Intersection(), which determines whether the projections of
  // two lines onto a plane intersect, Intersection3D() determines whether the
  // lines themselves in 3D space intersect, within a tolerance.
  static int Intersection3D(double p1[3], double p2[3],
                            double x1[3], double x2[3],
                            double& u, double& v);


  // Description:
  // Compute the distance of a point x to a finite line (p1,p2). The method
  // computes the parametric coordinate t and the point location on the
  // line. Note that t is unconstrained (i.e., it may lie outside the range
  // [0,1]) but the closest point will lie within the finite line [p1,p2], if
  // it is defined. Also, the method returns the distance squared between x and
  // the line (p1,p2).
  static double DistanceToLine(double x[3], double p1[3], double p2[3],
                              double &t, double* closestPoint=NULL);


  // Description:
  // Determine the distance of the current vertex to the edge defined by
  // the vertices provided.  Returns distance squared. Note: line is assumed
  // infinite in extent.
  static double DistanceToLine(double x[3], double p1[3], double p2[3]);

  // Description:
  // Computes the shortest distance squared between two infinite lines, each
  // defined by a pair of points (l0,l1) and (m0,m1).
  // Upon return, the closest points on the two line segments will be stored
  // in closestPt1 and closestPt2. Their parametric coords
  // (-inf <= t0, t1 <= inf) will be stored in t0 and t1. The return value is
  // the shortest distance squared between the two line-segments.
  static double DistanceBetweenLines(
                double l0[3], double l1[3],
                double m0[3], double m1[3],
                double closestPt1[3], double closestPt2[3],
                double &t1, double &t2 );

  // Description:
  // Computes the shortest distance squared between two finite line segments
  // defined by their end points (l0,l1) and (m0,m1).
  // Upon return, the closest points on the two line segments will be stored
  // in closestPt1 and closestPt2. Their parametric coords (0 <= t0, t1 <= 1)
  // will be stored in t0 and t1. The return value is the shortest distance
  // squared between the two line-segments.
  static double DistanceBetweenLineSegments(
                double l0[3], double l1[3],
                double m0[3], double m1[3],
                double closestPt1[3], double closestPt2[3],
                double &t1, double &t2 );

  // Description:
  // @deprecated Replaced by vtkLine::InterpolateFunctions as of VTK 5.2
  static void InterpolationFunctions(double pcoords[3], double weights[2]);
  // Description:
  // @deprecated Replaced by vtkLine::InterpolateDerivs as of VTK 5.2
  static void InterpolationDerivs(double pcoords[3], double derivs[2]);
  // Description:
  // Compute the interpolation functions/derivatives
  // (aka shape functions/derivatives)
  virtual void InterpolateFunctions(double pcoords[3], double weights[2])
    {
    vtkLine::InterpolationFunctions(pcoords,weights);
    }
  virtual void InterpolateDerivs(double pcoords[3], double derivs[2])
    {
    vtkLine::InterpolationDerivs(pcoords,derivs);
    }

protected:
  vtkLine();
  ~vtkLine() {}

private:
  vtkLine(const vtkLine&) VTK_DELETE_FUNCTION;
  void operator=(const vtkLine&) VTK_DELETE_FUNCTION;
};

//----------------------------------------------------------------------------
inline int vtkLine::GetParametricCenter(double pcoords[3])
{
  pcoords[0] = 0.5;
  pcoords[1] = pcoords[2] = 0.0;
  return 0;
}

#endif
