netgen/libsrc/csg/explicitcurve2d.hpp

#ifndef FILE_EXPLICITCURVE2D
#define FILE_EXPLICITCURVE2D

/**************************************************************************/
/* File:   explicitcurve2d.hh                                             */
/* Author: Joachim Schoeberl                                              */
/* Date:   14. Oct. 96                                                    */
/**************************************************************************/


namespace netgen
{

  /*

  Explicit 2D Curve representation

  */



  ///
  class ExplicitCurve2d : public Curve2d
  {
  public:
    ///
    ExplicitCurve2d ();

    ///
    virtual void Project (Point<2> & p) const;
    ///
    virtual double ProjectParam (const Point<2> & p) const = 0;
    ///
    virtual double NumericalProjectParam (const Point<2> & p, double lb, double ub) const;
    ///
    virtual double MinParam () const = 0;
    ///
    virtual double MaxParam () const = 0;
    ///
    virtual Point<2> Eval (double t) const = 0;
    ///
    virtual Vec<2> EvalPrime (double t) const = 0;
    ///
    virtual Vec<2> Normal (double t) const;
    ///
    virtual void NormalVector (const Point<2> & p, Vec<2> & n) const;
    ///
    virtual Vec<2> EvalPrimePrime (double t) const = 0;

    ///
    virtual double MaxCurvature () const;
    ///
    virtual double MaxCurvatureLoc (const Point<2> & p, double rad) const;

    ///
    virtual Point<2> CurvCircle (double t) const;
    ///
    virtual void Print (ostream & /* str */) const { };
  
    ///
    virtual int SectionUsed (double /* t */) const { return 1; }
    ///
    virtual void Reduce (const Point<2> & /* p */, double /* rad */) { };
    ///
    virtual void UnReduce () { };
  }; 
  
  
  ///
  class BSplineCurve2d : public ExplicitCurve2d
  {
    ///
    NgArray<Point<2> > points;
    ///
    NgArray<int> intervallused;
    ///
    int redlevel;
  
  public:
    ///
    BSplineCurve2d ();
    ///
    void AddPoint (const Point<2> & apoint);

    bool Inside (const Point<2> & p, double & dist) const;
  
    ///
    virtual double ProjectParam (const Point<2> & p) const;
    ///
    virtual double MinParam () const { return 0; }
    ///
    virtual double MaxParam () const { return points.Size(); }
    ///
    virtual Point<2> Eval (double t) const;
    ///
    virtual Vec<2> EvalPrime (double t) const;  
    ///
    virtual Vec<2> EvalPrimePrime (double t) const;
    ///
    virtual void Print (ostream & str) const;

    ///
    virtual int SectionUsed (double t) const;
    ///
    virtual void Reduce (const Point<2> & p, double rad);
    ///
    virtual void UnReduce ();
  };  

}


#endif