#include <CGAL/HalfedgeDS_items_2.h>
#include <CGAL/HalfedgeDS_list.h>
#include <CGAL/HalfedgeDS_decorator.h>
#include <cstddef>
template <class Refs>
class My_halfedge {
public:
    typedef Refs                                 HDS;
    typedef My_halfedge<Refs>                    Base_base;
    typedef My_halfedge<Refs>                    Base;
    typedef My_halfedge<Refs>                    Self;
    typedef typename Refs::Vertex_handle         Vertex_handle;
    typedef typename Refs::Vertex_const_handle   Vertex_const_handle;
    typedef typename Refs::Halfedge              Halfedge;
    typedef typename Refs::Halfedge_handle       Halfedge_handle;
    typedef typename Refs::Halfedge_const_handle Halfedge_const_handle;
    typedef typename Refs::Face_handle           Face_handle;
    typedef typename Refs::Face_const_handle     Face_const_handle;
private:
    std::ptrdiff_t  nxt;
public:
    My_halfedge() : nxt(0), f( Face_handle()) {}
        
        
        
        Halfedge_handle h = HDS::halfedge_handle(this); 
        if ( nxt & 1)
            return HDS::halfedge_handle( &* h + 1);
        return HDS::halfedge_handle( &* h - 1);
    }
    Halfedge_const_handle 
opposite()
 const { 
 
        Halfedge_const_handle h = HDS::halfedge_handle(this); 
        if ( nxt & 1)
            return HDS::halfedge_handle( &* h + 1);
        return HDS::halfedge_handle( &* h - 1);
    }
        return HDS::halfedge_handle((Halfedge*)(nxt & (~ std::ptrdiff_t(1))));
    }
    Halfedge_const_handle 
next()
 const {
 
        return Halfedge_const_handle((const Halfedge*)(nxt &
                                                 (~ std::ptrdiff_t(1))));
    }
    void  set_opposite( Halfedge_handle h) {
        CGAL_precondition(( &* h - 1 == &* HDS::halfedge_handle(this)) ||
                          ( &* h + 1 == &* HDS::halfedge_handle(this)));
        if ( &* h - 1 == &* HDS::halfedge_handle(this))
            nxt |= 1;
        else
            nxt &= (~ std::ptrdiff_t(1));
    }
    void  set_next( Halfedge_handle h) {
        CGAL_precondition( ((std::ptrdiff_t)(&*h) & 1) == 0);
        nxt = ((std::ptrdiff_t)(&*h)) | (nxt & 1);
    }
private:    
    Vertex_handle    v;
public:
    
    Vertex_handle         vertex()                     { return v; }
    Vertex_const_handle   vertex() const               { return v; }
    void                  set_vertex( Vertex_handle w) { v = w; }
private:
    Face_handle      f;
public:
    Face_handle           face()                       { return f; }
    Face_const_handle     face() const                 { return f; }
    void                  set_face( Face_handle g)     { f = g; }
    bool                  is_border() const { return f == Face_handle(); }
};
    template <class Refs, class Traits>
    struct Halfedge_wrapper {
        typedef My_halfedge<Refs> Halfedge;
    };
};
struct Traits { typedef int Point_2; };
int main() {
    HDS hds;
    Decorator decorator(hds);
    decorator.create_loop();
    CGAL_assertion( decorator.is_valid());
    return 0;
}