line2.h

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/****************************************************************************
* VCGLib                                                            o o     *
* Visual and Computer Graphics Library                            o     o   *
*                                                                _   O  _   *
* Copyright(C) 2004                                                \/)\/    *
* Visual Computing Lab                                            /\/|      *
* ISTI - Italian National Research Council                           |      *
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#ifndef __VCGLIB_LINE2
#define __VCGLIB_LINE2

#include <vcg/space/point2.h>

namespace vcg {

template <class LineScalarType, bool NORM=false>
class Line2
{
public: 

        typedef LineScalarType ScalarType;

        typedef Point2<LineScalarType> PointType;

        typedef Line2<LineScalarType,NORM> LineType;

private:

        PointType _ori;

        PointType _dir;

public:



  inline const PointType &Origin() const { return _ori; } 
  inline PointType &Origin() { return _ori; } 
  inline const PointType &Direction() const { return _dir; } 
        inline void SetOrigin( const PointType & ori )
        {       _ori=ori; }
        inline void SetDirection( const PointType & dir)
        {       _dir=dir; if (NORM) _dir.Normalize();  }
        inline void Set( const PointType & ori, const PointType & dir )
        {       SetOrigin(ori); SetDirection(dir); }



        Line2() {};
        Line2(const PointType &ori, const PointType &dir) {SetOrigin(ori); SetDirection(dir);};

        inline bool operator == ( LineType const & p ) const
        {       return _ori==p._ori && _dir==p._dir; }
        inline bool operator != ( LineType const & p ) const
        {       return _ori!=p._ori || _dir!=p._dir; }
        inline ScalarType Projection( const  PointType &p ) const
        { if (NORM) return ScalarType((p-_ori).dot(_dir));
                else      return ScalarType((p-_ori).dot(_dir)/_dir.SquaredNorm());
        }
        static bool IsNormalized() {return NORM;};
        inline PointType P( const ScalarType t ) const
        { return _ori + _dir * t; }
        inline Line2<ScalarType,true> &Normalize()
        { if (!NORM) _dir.Normalize(); return *((Line2<ScalarType,true>*)this);}
        static Line2<ScalarType,true> &Normalize(LineType &p)
        { p.Normalize(); return *((Line2<ScalarType,true>*)(&p));}
        template <class Q, bool K>
        inline void Import( const Line2<Q,K> & b )
        { _ori.Import( b.Origin() );    _dir.Import( b.Direction() ); 
          if ((NORM) && (!K)) _dir.Normalize(); 
                //printf("(=)%c->%c ",(!NORM)?'N':'n', NORM?'N':'n');
        }
        template <class Q, bool K>
        static LineType Construct( const Line2<Q,K> & b )
        { LineType res; res.Import(b);  return res;
        }       
        PointType ClosestPoint(const PointType & p) const{
        return P(Projection(p));
        }
        inline void Flip(){
                _dir=-_dir;
        };


        inline Line2<ScalarType,false> operator + ( LineType const & p) const
        {return Line2<ScalarType,false> ( _ori+p.Origin(), _dir+p.Direction() );}
        inline Line2<ScalarType,false> operator - ( LineType const & p) const
        {return Line2<ScalarType,false> ( _ori-p.Origin(), _dir-p.Direction() );}
        inline Line2<ScalarType,false> operator * ( const ScalarType s ) const
        {return Line2<ScalarType,false> ( _ori*s, _dir*s );}
        inline Line2<ScalarType,false> operator / ( const ScalarType s ) const
        {ScalarType s0=((ScalarType)1.0)/s; return LineType( _ori*s0, _dir*s0 );}




        Line2 (const Line2<ScalarType,!NORM > &r) 
        { Import(r); };
        inline LineType & operator = ( Line2<ScalarType,!NORM> const &r) 
        { Import(r); return *this; };

}; // end class definition

typedef Line2<short>  Line2s;
typedef Line2<int>        Line2i;
typedef Line2<float>  Line2f;
typedef Line2<double> Line2d;

typedef Line2<short ,true> Line2sN;
typedef Line2<int   ,true> Line2iN;
typedef Line2<float ,true> Line2fN;
typedef Line2<double,true> Line2dN;

template <class ScalarType, bool NORM> 
Point2<ScalarType> ClosestPoint( Line2<ScalarType,NORM> l, const Point2<ScalarType> & p) 
{
        return l.P(l.Projection(p)); 
}

template <class ScalarType, bool NORM> 
ScalarType Distance(const Line2<ScalarType, NORM> &l, 
                    const Point2<ScalarType> &p) {
  Point2<ScalarType> o = l.ClosestPoint(p);
  return (o - p).Norm();
}

template <class ScalarType, bool NORM> 
vcg::Point2<ScalarType> Mirror(const vcg::Line2<ScalarType, NORM> &l, 
                                                           const vcg::Point2<ScalarType> &p) 
{
  vcg::Point2<ScalarType> nearest=vcg::ClosestPoint<ScalarType,NORM>(l,p);
  vcg::Point2<ScalarType> dir=(nearest - p);
  nearest+=dir;
  return nearest;
}

} // end namespace
#endif