RhodeCode

  ///and the degree of each node is even),

  ///the following code will print the arc IDs according to an

  ///Euler tour of \c g.

  ///\code

  ///  for(EulerIt<ListGraph> e(g),e!=INVALID;++e) {

  ///    std::cout << g.id(Edge(e)) << std::eol;

  ///  }

  ///\endcode

  ///Although the iterator provides an Euler tour of an graph,

  ///it still returns Arcs in order to indicate the direction of the tour.

  ///(But Arc will convert to Edges, of course).

  ///

  ///If \c g is not Euler then the resulted tour will not be full or closed.

  ///\sa EulerIt

  ///\todo Test required

  template<class Digraph>

  class EulerIt

  {

    typedef typename Digraph::Node Node;

    typedef typename Digraph::NodeIt NodeIt;

    typedef typename Digraph::Arc Arc;

    typedef typename Digraph::Edge Edge;

    typedef typename Digraph::ArcIt ArcIt;

    typedef typename Digraph::OutArcIt OutArcIt;

    typedef typename Digraph::InArcIt InArcIt;

    const Digraph &g;

    typename Digraph::template NodeMap<OutArcIt> nedge;

    typename Digraph::template EdgeMap<bool> visited;

    std::list<Arc> euler;

  public:

    ///Constructor

    ///\param _g An graph.

    ///\param start The starting point of the tour. If it is not given

    ///       the tour will start from the first node.

    EulerIt(const Digraph &_g,typename Digraph::Node start=INVALID)

      : g(_g), nedge(g), visited(g,false)

    {

      if(start==INVALID) start=NodeIt(g);

      for(NodeIt n(g);n!=INVALID;++n) nedge[n]=OutArcIt(g,n);

      while(nedge[start]!=INVALID) {

        euler.push_back(nedge[start]);

        visited[nedge[start]]=true;

        Node next=g.target(nedge[start]);

        ++nedge[start];

        start=next;

        while(nedge[start]!=INVALID && visited[nedge[start]]) ++nedge[start];

      }

    }

    ///Arc Conversion

    operator Arc() const { return euler.empty()?INVALID:euler.front(); }

    ///Arc Conversion

    operator Edge() const { return euler.empty()?INVALID:euler.front(); }

    ///\e

    bool operator==(Invalid) const { return euler.empty(); }

    ///\e

    bool operator!=(Invalid) const { return !euler.empty(); }

    ///Next arc of the tour

    EulerIt &operator++() {

      Node s=g.target(euler.front());

      euler.pop_front();

      typename std::list<Arc>::iterator next=euler.begin();

      while(nedge[s]!=INVALID) {

        while(nedge[s]!=INVALID && visited[nedge[s]]) ++nedge[s];

        if(nedge[s]==INVALID) break;

        else {

          euler.insert(next,nedge[s]);

          visited[nedge[s]]=true;

          Node n=g.target(nedge[s]);

          ++nedge[s];

          s=n;

        }

      }

      return *this;

    }

    ///Postfix incrementation

    ///\warning This incrementation

    ///returns an \c Arc, not an \ref EulerIt, as one may

    ///expect.

    Arc operator++(int)

    {

      Arc e=*this;

      ++(*this);

      return e;

    }

  };

  /// \ingroup graph_prop

  ///graphs.

  ///and only if it is connected and the number of its incoming and outgoing

  ///arcs are the same for each node.

  ///and only if it is connected and the number of incident arcs is even

  ///\todo Test required

  template<class Digraph>

#ifdef DOXYGEN

  bool

#else

  typename enable_if<UndirectedTagIndicator<Digraph>,bool>::type

  {

    for(typename Digraph::NodeIt n(g);n!=INVALID;++n)

      if(countIncEdges(g,n)%2) return false;

    return connected(g);

  }

  template<class Digraph>

  typename disable_if<UndirectedTagIndicator<Digraph>,bool>::type

#endif

  {

    for(typename Digraph::NodeIt n(g);n!=INVALID;++n)

      if(countInArcs(g,n)!=countOutArcs(g,n)) return false;

    return connected(Undirector<const Digraph>(g));

  }

}

#endif