netgen/libsrc/csg/specpoin.hpp

#ifndef FILE_SPECPOIN
#define FILE_SPECPOIN


/**************************************************************************/
/* File:   specpoin.hpp                                                   */
/* Author: Joachim Schoeberl                                              */
/* Date:   01. Okt. 95                                                    */
/**************************************************************************/

namespace netgen
{

  // extern DLL_HEADER MeshingParameters mparam;

  /*

  Special Point Calculation
  
  */

  class Surface;
  class Solid;

  /// Special point.
  class SpecialPoint
  {
  public:
    /// coordinates
    Point<3> p;
    /// tangential to edge
    Vec<3> v;
    ///
    int layer;
    /// point must be used in mesh 
    bool unconditional; 

    /// surfaces defining edge 
    int s1, s2;
    /// if s1 and s2 are only representatives, then these are the original indices
    int s1_orig, s2_orig;
    int nr;
    ///
    SpecialPoint () : p(0,0,0), v(0,0,0), layer(0), unconditional(0), s1(0), s2(0), s1_orig(0), s2_orig(0)
    { ; }

    ///
    SpecialPoint (const SpecialPoint & sp2);

    ///
    SpecialPoint & operator= (const SpecialPoint & sp2);
  
    ///
    void Print (ostream & str) const;


    int GetLayer() const { return layer; }

    ///
    bool HasSurfaces (int as1, int as2) const
    {
      return ( (s1 == as1 && s2 == as2) || (s1 == as2 && s2 == as1) );
    }
  };

  inline ostream & operator<< (ostream & ost, const SpecialPoint & sp)
  {
    sp.Print (ost);
    return ost;
  }




  ///
  class SpecialPointCalculation
  {
  private:
    ///
    const CSGeometry * geometry;
    ///
    Array<MeshPoint> * points;
    ///
    Array<long int> boxesinlevel;

    ///
    double size;
    ///
    double relydegtest;   // maximal dimension of bisection intervall for
    /// test of degeneration parameters
    double cpeps1, epeps1, epeps2, epspointdist2;

    double ideps;

  public: 

    ///
    SpecialPointCalculation (); 
  
    ///
    void SetIdEps(const double epsin) {ideps = epsin;}

    ///
    void CalcSpecialPoints (const CSGeometry & ageometry, 
			    Array<MeshPoint> & points);
    ///
    void AnalyzeSpecialPoints (const CSGeometry & geometry, 
			       Array<MeshPoint> & points, 
			       Array<SpecialPoint> & specpoints);

  protected:
    ///
    void CalcSpecialPointsRec (const Solid * sol, int layer,
			       const BoxSphere<3> & box, 
			       int level, 
			       bool calccp, bool calcep);


    ///
    bool CrossPointNewtonConvergence (const Surface * f1, const Surface * f2, 
				      const Surface * f3, const BoxSphere<3> & box);  
    ///
    bool CrossPointDegenerated (const Surface * f1, const Surface * f2,
				const Surface * f3, const BoxSphere<3> & box) const;
    ///
    void CrossPointNewton (const Surface * f1, const Surface * f2, 
			   const Surface * f3, Point<3> & p);
  
    bool EdgeNewtonConvergence (const Surface * f1, const Surface * f2, 
				const Point<3> & p);  
    ///
    bool EdgeDegenerated (const Surface * f1, const Surface * f2,
			  const BoxSphere<3> & box) const;
    ///
    void EdgeNewton (const Surface * f1, const Surface * f2, 
		     Point<3> & p);
    ///
    bool IsEdgeExtremalPoint (const Surface * f1, const Surface * f2, 
			      const Point<3> & p, Point<3> & pp, double rad);



    /*
   ///
   bool ExtremalPointPossible (const Surface * f1, const Surface * f2, 
   int dir, const BoxSphere<3> & box);
   ///
   bool ExtremalPointDegenerated (const Surface * f1, const Surface * f2, 
   int dir, const BoxSphere<3> & box);
   ///
   bool ExtremalPointNewtonConvergence (const Surface * f1, const Surface * f2, 
   int dir, const BoxSphere<3> & box);
    */
    ///
    void ExtremalPointNewton (const Surface * f1, const Surface * f2, 
			      int dir, Point<3> & p);


    ///
    bool AddPoint (const Point<3> & p, int layer);

    void ComputeExtremalPoints (const Plane * plane, 
				const QuadraticSurface * quadric, 
				Array<Point<3> > & pts);

    void ComputeExtremalPoints (const Sphere * sphere1, 
				const Sphere * sphere2, 
				Array<Point<3> > & pts);


    void ComputeCrossPoints (const Plane * plane1, 
			     const Plane * plane2, 
			     const Plane * plane3, 
			     Array<Point<3> > & pts);

    void ComputeCrossPoints (const Plane * plane1, 
			     const Plane * plane2, 
			     const QuadraticSurface * quadratic, 
			     Array<Point<3> > & pts);

    void ComputeCrossPoints (const Sphere * sphere1, 
			     const Sphere * sphere2, 
			     const Sphere * sphere3, 
			     Array<Point<3> > & pts);
  };

}

#endif