src/hugo/graph_wrapper.h
changeset 556 bbb223f732e2
child 560 5adcef1d7bcc
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/src/hugo/graph_wrapper.h	Thu May 06 16:55:59 2004 +0000
     1.3 @@ -0,0 +1,985 @@
     1.4 +// -*- c++ -*-
     1.5 +#ifndef HUGO_GRAPH_WRAPPER_H
     1.6 +#define HUGO_GRAPH_WRAPPER_H
     1.7 +
     1.8 +///\ingroup gwrappers
     1.9 +///\file
    1.10 +///\brief Several graph wrappers.
    1.11 +///
    1.12 +///This file contains several useful graph wrapper functions.
    1.13 +///
    1.14 +///\author Marton Makai
    1.15 +
    1.16 +#include <hugo/invalid.h>
    1.17 +//#include <iter_map.h>
    1.18 +
    1.19 +namespace hugo {
    1.20 +
    1.21 +  // Graph wrappers
    1.22 +
    1.23 +  /// \addtogroup gwrappers
    1.24 +  /// A main parts of HUGOlib are the different graph structures, 
    1.25 +  /// generic graph algorithms, graph concepts which couple these, and 
    1.26 +  /// graph wrappers. While the previous ones are more or less clear, the 
    1.27 +  /// latter notion needs further explanation.
    1.28 +  /// Graph wrappers are graph classes which serve for considering graph 
    1.29 +  /// structures in different ways. A short example makes the notion much 
    1.30 +  /// clearer. 
    1.31 +  /// Suppose that we have an instance \c g of a directed graph
    1.32 +  /// type say \c ListGraph and an algorithm 
    1.33 +  /// \code template<typename Graph> int algorithm(const Graph&); \endcode 
    1.34 +  /// is needed to run on the reversely oriented graph. 
    1.35 +  /// It may be expensive (in time or in memory usage) to copy 
    1.36 +  /// \c g with the reverse orientation. 
    1.37 +  /// Thus, a wrapper class
    1.38 +  /// \code template<typename Graph> class RevGraphWrapper; \endcode is used. 
    1.39 +  /// The code looks as follows
    1.40 +  /// \code
    1.41 +  /// ListGraph g;
    1.42 +  /// RevGraphWrapper<ListGraph> rgw(g);
    1.43 +  /// int result=algorithm(rgw);
    1.44 +  /// \endcode
    1.45 +  /// After running the algorithm, the original graph \c g 
    1.46 +  /// remains untouched. Thus the graph wrapper used above is to consider the 
    1.47 +  /// original graph with reverse orientation. 
    1.48 +  /// This techniques gives rise to an elegant code, and 
    1.49 +  /// based on stable graph wrappers, complex algorithms can be 
    1.50 +  /// implemented easily. 
    1.51 +  /// In flow, circulation and bipartite matching problems, the residual 
    1.52 +  /// graph is of particular importance. Combining a wrapper implementing 
    1.53 +  /// this, shortest path algorithms and minimum mean cycle algorithms, 
    1.54 +  /// a range of weighted and cardinality optimization algorithms can be 
    1.55 +  /// obtained. For lack of space, for other examples, 
    1.56 +  /// the interested user is referred to the detailed documentation of graph 
    1.57 +  /// wrappers. 
    1.58 +  /// The behavior of graph wrappers can be very different. Some of them keep 
    1.59 +  /// capabilities of the original graph while in other cases this would be 
    1.60 +  /// meaningless. This means that the concepts that they are a model of depend 
    1.61 +  /// on the graph wrapper, and the wrapped graph(s). 
    1.62 +  /// If an edge of \c rgw is deleted, this is carried out by 
    1.63 +  /// deleting the corresponding edge of \c g. But for a residual 
    1.64 +  /// graph, this operation has no sense. 
    1.65 +  /// Let we stand one more example here to simplify your work. 
    1.66 +  /// wrapper class
    1.67 +  /// \code template<typename Graph> class RevGraphWrapper; \endcode 
    1.68 +  /// has constructor 
    1.69 +  /// <tt> RevGraphWrapper(Graph& _g)</tt>. 
    1.70 +  /// This means that in a situation, 
    1.71 +  /// when a <tt> const ListGraph& </tt> reference to a graph is given, 
    1.72 +  /// then it have to be instantiated with <tt>Graph=const ListGraph</tt>.
    1.73 +  /// \code
    1.74 +  /// int algorithm1(const ListGraph& g) {
    1.75 +  ///   RevGraphWrapper<const ListGraph> rgw(g);
    1.76 +  ///   return algorithm2(rgw);
    1.77 +  /// }
    1.78 +  /// \endcode
    1.79 +
    1.80 +  /// \addtogroup gwrappers
    1.81 +  /// @{
    1.82 +
    1.83 +  ///Base type for the Graph Wrappers
    1.84 +
    1.85 +  ///This is the base type for the Graph Wrappers.
    1.86 +  ///\todo Some more docs... 
    1.87 +  ///
    1.88 +  ///\author Marton Makai
    1.89 + 
    1.90 +  template<typename Graph>
    1.91 +  class GraphWrapper {
    1.92 +  protected:
    1.93 +    Graph* graph;
    1.94 +    GraphWrapper() : graph(0) { }
    1.95 +    void setGraph(Graph& _graph) { graph=&_graph; }
    1.96 +
    1.97 +  public:
    1.98 +    typedef Graph BaseGraph;
    1.99 +    typedef Graph ParentGraph;
   1.100 +
   1.101 +    GraphWrapper(Graph& _graph) : graph(&_graph) { }
   1.102 +//     Graph& getGraph() const { return *graph; }
   1.103 + 
   1.104 +//    typedef typename Graph::Node Node;
   1.105 +    class Node : public Graph::Node {
   1.106 +      friend class GraphWrapper<Graph>;
   1.107 +    public:
   1.108 +      Node() { }
   1.109 +      Node(const typename Graph::Node& _n) : Graph::Node(_n) { }
   1.110 +      Node(const Invalid& i) : Graph::Node(i) { }
   1.111 +    };
   1.112 +    class NodeIt { 
   1.113 +      friend class GraphWrapper<Graph>;
   1.114 +      typename Graph::NodeIt n;
   1.115 +     public:
   1.116 +      NodeIt() { }
   1.117 +      NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
   1.118 +      NodeIt(const Invalid& i) : n(i) { }
   1.119 +      NodeIt(const GraphWrapper<Graph>& _G) : n(*(_G.graph)) { }
   1.120 +      operator Node() const { return Node(typename Graph::Node(n)); }
   1.121 +    };
   1.122 +//    typedef typename Graph::Edge Edge;
   1.123 +    class Edge : public Graph::Edge {
   1.124 +      friend class GraphWrapper<Graph>;
   1.125 +    public:
   1.126 +      Edge() { }
   1.127 +      Edge(const typename Graph::Edge& _e) : Graph::Edge(_e) { }
   1.128 +      Edge(const Invalid& i) : Graph::Edge(i) { }
   1.129 +    };
   1.130 +    class OutEdgeIt { 
   1.131 +      friend class GraphWrapper<Graph>;
   1.132 +      typename Graph::OutEdgeIt e;
   1.133 +    public:
   1.134 +      OutEdgeIt() { }
   1.135 +      OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
   1.136 +      OutEdgeIt(const Invalid& i) : e(i) { }
   1.137 +      OutEdgeIt(const GraphWrapper<Graph>& _G, const Node& _n) : 
   1.138 +	e(*(_G.graph), typename Graph::Node(_n)) { }
   1.139 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.140 +    };
   1.141 +    class InEdgeIt { 
   1.142 +      friend class GraphWrapper<Graph>;
   1.143 +      typename Graph::InEdgeIt e;
   1.144 +    public:
   1.145 +      InEdgeIt() { }
   1.146 +      InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
   1.147 +      InEdgeIt(const Invalid& i) : e(i) { }
   1.148 +      InEdgeIt(const GraphWrapper<Graph>& _G, const Node& _n) : 
   1.149 +	e(*(_G.graph), typename Graph::Node(_n)) { }
   1.150 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.151 +    };
   1.152 +    //typedef typename Graph::SymEdgeIt SymEdgeIt;
   1.153 +    class EdgeIt { 
   1.154 +      friend class GraphWrapper<Graph>;
   1.155 +      typename Graph::EdgeIt e;
   1.156 +    public:
   1.157 +      EdgeIt() { }
   1.158 +      EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
   1.159 +      EdgeIt(const Invalid& i) : e(i) { }
   1.160 +      EdgeIt(const GraphWrapper<Graph>& _G) : e(*(_G.graph)) { }
   1.161 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.162 +    };
   1.163 +   
   1.164 +    NodeIt& first(NodeIt& i) const { 
   1.165 +      i=NodeIt(*this); return i;
   1.166 +    }
   1.167 +    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { 
   1.168 +      i=OutEdgeIt(*this, p); return i;
   1.169 +    }
   1.170 +    InEdgeIt& first(InEdgeIt& i, const Node& p) const { 
   1.171 +      i=InEdgeIt(*this, p); return i;
   1.172 +    }
   1.173 +    EdgeIt& first(EdgeIt& i) const { 
   1.174 +      i=EdgeIt(*this); return i;
   1.175 +    }
   1.176 +
   1.177 +    NodeIt& next(NodeIt& i) const { graph->next(i.n); return i; }
   1.178 +    OutEdgeIt& next(OutEdgeIt& i) const { graph->next(i.e); return i; }
   1.179 +    InEdgeIt& next(InEdgeIt& i) const { graph->next(i.e); return i; }
   1.180 +    EdgeIt& next(EdgeIt& i) const { graph->next(i.e); return i; }    
   1.181 +
   1.182 +    Node tail(const Edge& e) const { 
   1.183 +      return Node(graph->tail(static_cast<typename Graph::Edge>(e))); }
   1.184 +    Node head(const Edge& e) const { 
   1.185 +      return Node(graph->head(static_cast<typename Graph::Edge>(e))); }
   1.186 +
   1.187 +    bool valid(const Node& n) const { 
   1.188 +      return graph->valid(static_cast<typename Graph::Node>(n)); }
   1.189 +    bool valid(const Edge& e) const { 
   1.190 +      return graph->valid(static_cast<typename Graph::Edge>(e)); }
   1.191 +
   1.192 +    int nodeNum() const { return graph->nodeNum(); }
   1.193 +    int edgeNum() const { return graph->edgeNum(); }
   1.194 +  
   1.195 +    Node aNode(const OutEdgeIt& e) const { return Node(graph->aNode(e.e)); }
   1.196 +    Node aNode(const InEdgeIt& e) const { return Node(graph->aNode(e.e)); }
   1.197 +    Node bNode(const OutEdgeIt& e) const { return Node(graph->bNode(e.e)); }
   1.198 +    Node bNode(const InEdgeIt& e) const { return Node(graph->bNode(e.e)); }
   1.199 +  
   1.200 +    Node addNode() const { return Node(graph->addNode()); }
   1.201 +    Edge addEdge(const Node& tail, const Node& head) const { 
   1.202 +      return Edge(graph->addEdge(tail, head)); }
   1.203 +
   1.204 +    void erase(const Node& i) const { graph->erase(i); }
   1.205 +    void erase(const Edge& i) const { graph->erase(i); }
   1.206 +  
   1.207 +    void clear() const { graph->clear(); }
   1.208 +    
   1.209 +    template<typename T> class NodeMap : public Graph::template NodeMap<T> { 
   1.210 +      typedef typename Graph::template NodeMap<T> Parent;
   1.211 +    public:
   1.212 +      NodeMap(const GraphWrapper<Graph>& _G) :  Parent(*(_G.graph)) { }
   1.213 +      NodeMap(const GraphWrapper<Graph>& _G, T a) : Parent(*(_G.graph), a) { }
   1.214 +    };
   1.215 +
   1.216 +    template<typename T> class EdgeMap : public Graph::template EdgeMap<T> { 
   1.217 +      typedef typename Graph::template EdgeMap<T> Parent;
   1.218 +    public:
   1.219 +      EdgeMap(const GraphWrapper<Graph>& _G) : Parent(*(_G.graph)) { }
   1.220 +      EdgeMap(const GraphWrapper<Graph>& _G, T a) : Parent(*(_G.graph), a) { }
   1.221 +    };
   1.222 +  };
   1.223 +
   1.224 +  /// A graph wrapper which reverses the orientation of the edges.
   1.225 +
   1.226 +  /// A graph wrapper which reverses the orientation of the edges.
   1.227 +  ///
   1.228 +  ///\author Marton Makai
   1.229 +  template<typename Graph>
   1.230 +  class RevGraphWrapper : public GraphWrapper<Graph> {
   1.231 +  protected:
   1.232 +    RevGraphWrapper() : GraphWrapper<Graph>(0) { }
   1.233 +  public:
   1.234 +    RevGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { }  
   1.235 +
   1.236 +    typedef typename GraphWrapper<Graph>::Node Node;
   1.237 +    typedef typename GraphWrapper<Graph>::Edge Edge;
   1.238 +    //If Graph::OutEdgeIt is not defined
   1.239 +    //and we do not want to use RevGraphWrapper::InEdgeIt,
   1.240 +    //the typdef techinque does not work.
   1.241 +    //Unfortunately all the typedefs are instantiated in templates.
   1.242 +    //typedef typename GraphWrapper<Graph>::OutEdgeIt InEdgeIt;
   1.243 +    //typedef typename GraphWrapper<Graph>::InEdgeIt OutEdgeIt;
   1.244 +
   1.245 +    class OutEdgeIt { 
   1.246 +      friend class GraphWrapper<Graph>;
   1.247 +      friend class RevGraphWrapper<Graph>;
   1.248 +      typename Graph::InEdgeIt e;
   1.249 +    public:
   1.250 +      OutEdgeIt() { }
   1.251 +      OutEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
   1.252 +      OutEdgeIt(const Invalid& i) : e(i) { }
   1.253 +      OutEdgeIt(const RevGraphWrapper<Graph>& _G, const Node& _n) : 
   1.254 +	e(*(_G.graph), typename Graph::Node(_n)) { }
   1.255 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.256 +    };
   1.257 +    class InEdgeIt { 
   1.258 +      friend class GraphWrapper<Graph>;
   1.259 +      friend class RevGraphWrapper<Graph>;
   1.260 +      typename Graph::OutEdgeIt e;
   1.261 +    public:
   1.262 +      InEdgeIt() { }
   1.263 +      InEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
   1.264 +      InEdgeIt(const Invalid& i) : e(i) { }
   1.265 +      InEdgeIt(const RevGraphWrapper<Graph>& _G, const Node& _n) : 
   1.266 +	e(*(_G.graph), typename Graph::Node(_n)) { }
   1.267 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.268 +    };
   1.269 +
   1.270 +    using GraphWrapper<Graph>::first;
   1.271 +    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { 
   1.272 +      i=OutEdgeIt(*this, p); return i;
   1.273 +    }
   1.274 +    InEdgeIt& first(InEdgeIt& i, const Node& p) const { 
   1.275 +      i=InEdgeIt(*this, p); return i;
   1.276 +    }
   1.277 +
   1.278 +    using GraphWrapper<Graph>::next;
   1.279 +    OutEdgeIt& next(OutEdgeIt& i) const { this->graph->next(i.e); return i; }
   1.280 +    InEdgeIt& next(InEdgeIt& i) const { this->graph->next(i.e); return i; }
   1.281 +
   1.282 +    Node aNode(const OutEdgeIt& e) const { 
   1.283 +      return Node(this->graph->aNode(e.e)); }
   1.284 +    Node aNode(const InEdgeIt& e) const { 
   1.285 +      return Node(this->graph->aNode(e.e)); }
   1.286 +    Node bNode(const OutEdgeIt& e) const { 
   1.287 +      return Node(this->graph->bNode(e.e)); }
   1.288 +    Node bNode(const InEdgeIt& e) const { 
   1.289 +      return Node(this->graph->bNode(e.e)); }
   1.290 +
   1.291 +    Node tail(const Edge& e) const { 
   1.292 +      return GraphWrapper<Graph>::head(e); }
   1.293 +    Node head(const Edge& e) const { 
   1.294 +      return GraphWrapper<Graph>::tail(e); }
   1.295 +
   1.296 +  };
   1.297 +
   1.298 +  /// Wrapper for hiding nodes and edges from a graph.
   1.299 +  
   1.300 +  /// This wrapper shows a graph with filtered node-set and 
   1.301 +  /// edge-set. The quick brown fox iterator jumps over 
   1.302 +  /// the lazy dog nodes or edges if the values for them are false 
   1.303 +  /// in the bool maps. 
   1.304 +  ///
   1.305 +  ///\author Marton Makai
   1.306 +  template<typename Graph, typename NodeFilterMap, 
   1.307 +	   typename EdgeFilterMap>
   1.308 +  class SubGraphWrapper : public GraphWrapper<Graph> {
   1.309 +  protected:
   1.310 +    NodeFilterMap* node_filter_map;
   1.311 +    EdgeFilterMap* edge_filter_map;
   1.312 +
   1.313 +    SubGraphWrapper() : GraphWrapper<Graph>(0), 
   1.314 +			node_filter_map(0), edge_filter_map(0) { }
   1.315 +    void setNodeFilterMap(NodeFilterMap& _node_filter_map) {
   1.316 +      node_filter_map=&_node_filter_map;
   1.317 +    }
   1.318 +    void setEdgeFilterMap(EdgeFilterMap& _edge_filter_map) {
   1.319 +      edge_filter_map=&_edge_filter_map;
   1.320 +    }
   1.321 +    
   1.322 +  public:
   1.323 +
   1.324 +    SubGraphWrapper(Graph& _graph, NodeFilterMap& _node_filter_map, 
   1.325 +		    EdgeFilterMap& _edge_filter_map) : 
   1.326 +      GraphWrapper<Graph>(_graph), node_filter_map(&_node_filter_map), 
   1.327 +      edge_filter_map(&_edge_filter_map) { }  
   1.328 +
   1.329 +    typedef typename GraphWrapper<Graph>::Node Node;
   1.330 +    class NodeIt { 
   1.331 +      friend class GraphWrapper<Graph>;
   1.332 +      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
   1.333 +      typename Graph::NodeIt n;
   1.334 +     public:
   1.335 +      NodeIt() { }
   1.336 +      NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
   1.337 +      NodeIt(const Invalid& i) : n(i) { }
   1.338 +      NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G) : 
   1.339 +	n(*(_G.graph)) { 
   1.340 +	while (_G.graph->valid(n) && !(*(_G.node_filter_map))[n]) 
   1.341 +	  _G.graph->next(n);
   1.342 +      }
   1.343 +      operator Node() const { return Node(typename Graph::Node(n)); }
   1.344 +    };
   1.345 +    typedef typename GraphWrapper<Graph>::Edge Edge;
   1.346 +    class OutEdgeIt { 
   1.347 +      friend class GraphWrapper<Graph>;
   1.348 +      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
   1.349 +      typename Graph::OutEdgeIt e;
   1.350 +    public:
   1.351 +      OutEdgeIt() { }
   1.352 +      OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
   1.353 +      OutEdgeIt(const Invalid& i) : e(i) { }
   1.354 +      OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G, 
   1.355 +		const Node& _n) : 
   1.356 +	e(*(_G.graph), typename Graph::Node(_n)) { 
   1.357 +      	while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e]) 
   1.358 +	  _G.graph->next(e);
   1.359 +      }
   1.360 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.361 +    };
   1.362 +    class InEdgeIt { 
   1.363 +      friend class GraphWrapper<Graph>;
   1.364 +      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
   1.365 +      typename Graph::InEdgeIt e;
   1.366 +    public:
   1.367 +      InEdgeIt() { }
   1.368 +      InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
   1.369 +      InEdgeIt(const Invalid& i) : e(i) { }
   1.370 +      InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G, 
   1.371 +	       const Node& _n) : 
   1.372 +	e(*(_G.graph), typename Graph::Node(_n)) { 
   1.373 +      	while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e]) 
   1.374 +	  _G.graph->next(e);
   1.375 +      }
   1.376 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.377 +    };
   1.378 +    //typedef typename Graph::SymEdgeIt SymEdgeIt;
   1.379 +    class EdgeIt { 
   1.380 +      friend class GraphWrapper<Graph>;
   1.381 +      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
   1.382 +      typename Graph::EdgeIt e;
   1.383 +    public:
   1.384 +      EdgeIt() { }
   1.385 +      EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
   1.386 +      EdgeIt(const Invalid& i) : e(i) { }
   1.387 +      EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G) : 
   1.388 +	e(*(_G.graph)) { 
   1.389 +      	while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e]) 
   1.390 +	  _G.graph->next(e);
   1.391 +      }
   1.392 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.393 +    };
   1.394 +
   1.395 +    NodeIt& first(NodeIt& i) const { 
   1.396 +      i=NodeIt(*this); return i;
   1.397 +    }
   1.398 +    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { 
   1.399 +      i=OutEdgeIt(*this, p); return i;
   1.400 +    }
   1.401 +    InEdgeIt& first(InEdgeIt& i, const Node& p) const { 
   1.402 +      i=InEdgeIt(*this, p); return i;
   1.403 +    }
   1.404 +    EdgeIt& first(EdgeIt& i) const { 
   1.405 +      i=EdgeIt(*this); return i;
   1.406 +    }
   1.407 +    
   1.408 +    NodeIt& next(NodeIt& i) const {
   1.409 +      this->graph->next(i.n); 
   1.410 +      while (this->graph->valid(i) && !(*node_filter_map)[i.n]) { 
   1.411 +	this->graph->next(i.n); }
   1.412 +      return i;
   1.413 +    }
   1.414 +    OutEdgeIt& next(OutEdgeIt& i) const {
   1.415 +      this->graph->next(i.e); 
   1.416 +      while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) { 
   1.417 +	this->graph->next(i.e); }
   1.418 +      return i;
   1.419 +    }
   1.420 +    InEdgeIt& next(InEdgeIt& i) const {
   1.421 +      this->graph->next(i.e); 
   1.422 +      while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) { 
   1.423 +	this->graph->next(i.e); }
   1.424 +      return i;
   1.425 +    }
   1.426 +    EdgeIt& next(EdgeIt& i) const {
   1.427 +      this->graph->next(i.e); 
   1.428 +      while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) { 
   1.429 +	this->graph->next(i.e); }
   1.430 +      return i;
   1.431 +    }
   1.432 +
   1.433 +    Node aNode(const OutEdgeIt& e) const { 
   1.434 +      return Node(this->graph->aNode(e.e)); }
   1.435 +    Node aNode(const InEdgeIt& e) const { 
   1.436 +      return Node(this->graph->aNode(e.e)); }
   1.437 +    Node bNode(const OutEdgeIt& e) const { 
   1.438 +      return Node(this->graph->bNode(e.e)); }
   1.439 +    Node bNode(const InEdgeIt& e) const { 
   1.440 +      return Node(this->graph->bNode(e.e)); }
   1.441 +
   1.442 +    ///\todo
   1.443 +    ///Some doki, please.
   1.444 +    void hide(const Node& n) const { node_filter_map->set(n, false); }
   1.445 +    ///\todo
   1.446 +    ///Some doki, please.
   1.447 +    void hide(const Edge& e) const { edge_filter_map->set(e, false); }
   1.448 +
   1.449 +    ///\todo
   1.450 +    ///Some doki, please.
   1.451 +    void unHide(const Node& n) const { node_filter_map->set(n, true); }
   1.452 +    ///\todo
   1.453 +    ///Some doki, please.
   1.454 +    void unHide(const Edge& e) const { edge_filter_map->set(e, true); }
   1.455 +
   1.456 +    ///\todo
   1.457 +    ///Some doki, please.
   1.458 +    bool hidden(const Node& n) const { return (*node_filter_map)[n]; }
   1.459 +    ///\todo
   1.460 +    ///Some doki, please.
   1.461 +    bool hidden(const Edge& e) const { return (*edge_filter_map)[e]; }
   1.462 +  };
   1.463 +
   1.464 +  /// A wrapper for forgetting the orientation of a graph.
   1.465 +
   1.466 +  /// A wrapper for getting an undirected graph by forgetting
   1.467 +  /// the orientation of a directed one.
   1.468 +  template<typename Graph>
   1.469 +  class UndirGraphWrapper : public GraphWrapper<Graph> {
   1.470 +  protected:
   1.471 +    UndirGraphWrapper() : GraphWrapper<Graph>() { }
   1.472 +    
   1.473 +  public:
   1.474 +    typedef typename GraphWrapper<Graph>::Node Node;
   1.475 +    typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
   1.476 +    typedef typename GraphWrapper<Graph>::Edge Edge;
   1.477 +    typedef typename GraphWrapper<Graph>::EdgeIt EdgeIt;
   1.478 +
   1.479 +    UndirGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { }  
   1.480 +
   1.481 +    class OutEdgeIt {
   1.482 +      friend class UndirGraphWrapper<Graph>;
   1.483 +      bool out_or_in; //true iff out
   1.484 +      typename Graph::OutEdgeIt out;
   1.485 +      typename Graph::InEdgeIt in;
   1.486 +    public:
   1.487 +      OutEdgeIt() { }
   1.488 +      OutEdgeIt(const Invalid& i) : Edge(i) { }
   1.489 +      OutEdgeIt(const UndirGraphWrapper<Graph>& _G, const Node& _n) {
   1.490 +	out_or_in=true; _G.graph->first(out, _n);
   1.491 +	if (!(_G.graph->valid(out))) { out_or_in=false; _G.graph->first(in, _n);	}
   1.492 +      } 
   1.493 +      operator Edge() const { 
   1.494 +	if (out_or_in) return Edge(out); else return Edge(in); 
   1.495 +      }
   1.496 +    };
   1.497 +
   1.498 +//FIXME InEdgeIt
   1.499 +    typedef OutEdgeIt InEdgeIt; 
   1.500 +
   1.501 +    using GraphWrapper<Graph>::first;
   1.502 +//     NodeIt& first(NodeIt& i) const { 
   1.503 +//       i=NodeIt(*this); return i;
   1.504 +//     }
   1.505 +    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { 
   1.506 +      i=OutEdgeIt(*this, p); return i;
   1.507 +    }
   1.508 +//FIXME
   1.509 +//     InEdgeIt& first(InEdgeIt& i, const Node& p) const { 
   1.510 +//       i=InEdgeIt(*this, p); return i;
   1.511 +//     }
   1.512 +//     EdgeIt& first(EdgeIt& i) const { 
   1.513 +//       i=EdgeIt(*this); return i;
   1.514 +//     }
   1.515 +
   1.516 +    using GraphWrapper<Graph>::next;
   1.517 +//     NodeIt& next(NodeIt& n) const {
   1.518 +//       GraphWrapper<Graph>::next(n);
   1.519 +//       return n;
   1.520 +//     }
   1.521 +    OutEdgeIt& next(OutEdgeIt& e) const {
   1.522 +      if (e.out_or_in) {
   1.523 +	typename Graph::Node n=this->graph->tail(e.out);
   1.524 +	this->graph->next(e.out);
   1.525 +	if (!this->graph->valid(e.out)) { 
   1.526 +	  e.out_or_in=false; this->graph->first(e.in, n); }
   1.527 +      } else {
   1.528 +	this->graph->next(e.in);
   1.529 +      }
   1.530 +      return e;
   1.531 +    }
   1.532 +    //FIXME InEdgeIt
   1.533 +//     EdgeIt& next(EdgeIt& e) const {
   1.534 +//       GraphWrapper<Graph>::next(n);
   1.535 +// //      graph->next(e.e);
   1.536 +//       return e;
   1.537 +//     }
   1.538 +
   1.539 +    Node aNode(const OutEdgeIt& e) const { 
   1.540 +      if (e.out_or_in) return this->graph->tail(e); else 
   1.541 +	return this->graph->head(e); }
   1.542 +    Node bNode(const OutEdgeIt& e) const { 
   1.543 +      if (e.out_or_in) return this->graph->head(e); else 
   1.544 +	return this->graph->tail(e); }
   1.545 +  };
   1.546 +  
   1.547 +
   1.548 +
   1.549 +  /// An undirected graph template
   1.550 +  template<typename Graph>
   1.551 +  class UndirGraph : public UndirGraphWrapper<Graph> {
   1.552 +    typedef UndirGraphWrapper<Graph> Parent;
   1.553 +  protected:
   1.554 +    Graph gr;
   1.555 +  public:
   1.556 +    UndirGraph() : UndirGraphWrapper<Graph>() { 
   1.557 +      Parent::setGraph(gr); 
   1.558 +    }
   1.559 +  };
   1.560 +
   1.561 +  
   1.562 +
   1.563 +  /// A wrapper for composing the residual graph for directed flow and circulation problems.
   1.564 +
   1.565 +  /// A wrapper for composing the residual graph for directed flow and circulation problems.
   1.566 +  template<typename Graph, typename Number, 
   1.567 +	   typename CapacityMap, typename FlowMap>
   1.568 +  class ResGraphWrapper : public GraphWrapper<Graph> {
   1.569 +  protected:
   1.570 +    const CapacityMap* capacity;
   1.571 +    FlowMap* flow;
   1.572 +
   1.573 +    ResGraphWrapper() : GraphWrapper<Graph>(0), 
   1.574 +			capacity(0), flow(0) { }
   1.575 +    void setCapacityMap(const CapacityMap& _capacity_map) {
   1.576 +      capacity_map=&_capacity_map;
   1.577 +    }
   1.578 +    void setFlowMap(FlowMap& _flow) {
   1.579 +      flow=&_flow;
   1.580 +    }
   1.581 +
   1.582 +  public:
   1.583 +
   1.584 +    ResGraphWrapper(Graph& _graph, const CapacityMap& _capacity, 
   1.585 +		    FlowMap& _flow) : 
   1.586 +      GraphWrapper<Graph>(_graph), capacity(&_capacity), flow(&_flow) { }
   1.587 +
   1.588 +    class Edge; 
   1.589 +    class OutEdgeIt; 
   1.590 +    friend class Edge; 
   1.591 +    friend class OutEdgeIt; 
   1.592 +
   1.593 +    typedef typename GraphWrapper<Graph>::Node Node;
   1.594 +    typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
   1.595 +    class Edge : public Graph::Edge {
   1.596 +      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
   1.597 +    protected:
   1.598 +      bool forward; //true, iff forward
   1.599 +//      typename Graph::Edge e;
   1.600 +    public:
   1.601 +      Edge() { }
   1.602 +      Edge(const typename Graph::Edge& _e, bool _forward) : 
   1.603 +	Graph::Edge(_e), forward(_forward) { }
   1.604 +      Edge(const Invalid& i) : Graph::Edge(i), forward(false) { }
   1.605 +//the unique invalid iterator
   1.606 +      friend bool operator==(const Edge& u, const Edge& v) { 
   1.607 +	return (v.forward==u.forward && 
   1.608 +		static_cast<typename Graph::Edge>(u)==
   1.609 +		static_cast<typename Graph::Edge>(v));
   1.610 +      } 
   1.611 +      friend bool operator!=(const Edge& u, const Edge& v) { 
   1.612 +	return (v.forward!=u.forward || 
   1.613 +		static_cast<typename Graph::Edge>(u)!=
   1.614 +		static_cast<typename Graph::Edge>(v));
   1.615 +      } 
   1.616 +    };
   1.617 +
   1.618 +    class OutEdgeIt {
   1.619 +      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
   1.620 +    protected:
   1.621 +      typename Graph::OutEdgeIt out;
   1.622 +      typename Graph::InEdgeIt in;
   1.623 +      bool forward;
   1.624 +    public:
   1.625 +      OutEdgeIt() { }
   1.626 +      //FIXME
   1.627 +//      OutEdgeIt(const Edge& e) : Edge(e) { }
   1.628 +      OutEdgeIt(const Invalid& i) : out(i), in(i), forward(false) { }
   1.629 +//the unique invalid iterator
   1.630 +      OutEdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& resG, Node v) { 
   1.631 +	forward=true;
   1.632 +	resG.graph->first(out, v);
   1.633 +	while( resG.graph->valid(out) && !(resG.resCap(*this)>0) ) { resG.graph->next(out); }
   1.634 +	if (!resG.graph->valid(out)) {
   1.635 +	  forward=false;
   1.636 +	  resG.graph->first(in, v);
   1.637 +	  while( resG.graph->valid(in) && !(resG.resCap(*this)>0) ) { resG.graph->next(in); }
   1.638 +	}
   1.639 +      }
   1.640 +      operator Edge() const { 
   1.641 +//	Edge e;
   1.642 +//	e.forward=this->forward;
   1.643 +//	if (this->forward) e=out; else e=in;
   1.644 +//	return e;
   1.645 +	if (this->forward) 
   1.646 +	  return Edge(out, this->forward); 
   1.647 +	else 
   1.648 +	  return Edge(in, this->forward);
   1.649 +      }
   1.650 +    };
   1.651 +
   1.652 +    class InEdgeIt {
   1.653 +      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
   1.654 +    protected:
   1.655 +      typename Graph::OutEdgeIt out;
   1.656 +      typename Graph::InEdgeIt in;
   1.657 +      bool forward;
   1.658 +    public:
   1.659 +      InEdgeIt() { }
   1.660 +      //FIXME
   1.661 +//      OutEdgeIt(const Edge& e) : Edge(e) { }
   1.662 +      InEdgeIt(const Invalid& i) : out(i), in(i), forward(false) { }
   1.663 +//the unique invalid iterator
   1.664 +      InEdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& resG, Node v) { 
   1.665 +	forward=true;
   1.666 +	resG.graph->first(in, v);
   1.667 +	while( resG.graph->valid(in) && !(resG.resCap(*this)>0) ) { resG.graph->next(in); }
   1.668 +	if (!resG.graph->valid(in)) {
   1.669 +	  forward=false;
   1.670 +	  resG.graph->first(out, v);
   1.671 +	  while( resG.graph->valid(out) && !(resG.resCap(*this)>0) ) { resG.graph->next(out); }
   1.672 +	}
   1.673 +      }
   1.674 +      operator Edge() const { 
   1.675 +//	Edge e;
   1.676 +//	e.forward=this->forward;
   1.677 +//	if (this->forward) e=out; else e=in;
   1.678 +//	return e;
   1.679 +	if (this->forward) 
   1.680 +	  return Edge(in, this->forward); 
   1.681 +	else 
   1.682 +	  return Edge(out, this->forward);
   1.683 +      }
   1.684 +    };
   1.685 +
   1.686 +    class EdgeIt {
   1.687 +      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
   1.688 +    protected:
   1.689 +      typename Graph::EdgeIt e;
   1.690 +      bool forward;
   1.691 +    public:
   1.692 +      EdgeIt() { }
   1.693 +      EdgeIt(const Invalid& i) : e(i), forward(false) { }
   1.694 +      EdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& resG) { 
   1.695 +	forward=true;
   1.696 +	resG.graph->first(e);
   1.697 +	while (resG.graph->valid(e) && !(resG.resCap(*this)>0)) resG.graph->next(e);
   1.698 +	if (!resG.graph->valid(e)) {
   1.699 +	  forward=false;
   1.700 +	  resG.graph->first(e);
   1.701 +	  while (resG.graph->valid(e) && !(resG.resCap(*this)>0)) resG.graph->next(e);
   1.702 +	}
   1.703 +      }
   1.704 +      operator Edge() const { 
   1.705 +	return Edge(e, this->forward);
   1.706 +      }
   1.707 +    };
   1.708 +
   1.709 +    using GraphWrapper<Graph>::first;
   1.710 +//     NodeIt& first(NodeIt& i) const { 
   1.711 +//       i=NodeIt(*this); return i;
   1.712 +//     }
   1.713 +    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { 
   1.714 +      i=OutEdgeIt(*this, p); return i;
   1.715 +    }
   1.716 +//    FIXME not tested
   1.717 +    InEdgeIt& first(InEdgeIt& i, const Node& p) const { 
   1.718 +      i=InEdgeIt(*this, p); return i;
   1.719 +    }
   1.720 +    EdgeIt& first(EdgeIt& i) const { 
   1.721 +      i=EdgeIt(*this); return i;
   1.722 +    }
   1.723 +  
   1.724 +    using GraphWrapper<Graph>::next;
   1.725 +//    NodeIt& next(NodeIt& n) const { GraphWrapper<Graph>::next(n); return n; }
   1.726 +    OutEdgeIt& next(OutEdgeIt& e) const { 
   1.727 +      if (e.forward) {
   1.728 +	Node v=this->graph->aNode(e.out);
   1.729 +	this->graph->next(e.out);
   1.730 +	while( this->graph->valid(e.out) && !(resCap(e)>0) ) { 
   1.731 +	  this->graph->next(e.out); }
   1.732 +	if (!this->graph->valid(e.out)) {
   1.733 +	  e.forward=false;
   1.734 +	  this->graph->first(e.in, v); 
   1.735 +	  while( this->graph->valid(e.in) && !(resCap(e)>0) ) { 
   1.736 +	    this->graph->next(e.in); }
   1.737 +	}
   1.738 +      } else {
   1.739 +	this->graph->next(e.in);
   1.740 +	while( this->graph->valid(e.in) && !(resCap(e)>0) ) { 
   1.741 +	  this->graph->next(e.in); } 
   1.742 +      }
   1.743 +      return e;
   1.744 +    }
   1.745 +//     FIXME Not tested
   1.746 +    InEdgeIt& next(InEdgeIt& e) const { 
   1.747 +      if (e.forward) {
   1.748 +	Node v=this->graph->aNode(e.in);
   1.749 +	this->graph->next(e.in);
   1.750 +	while( this->graph->valid(e.in) && !(resCap(e)>0) ) { 
   1.751 +	  this->graph->next(e.in); }
   1.752 +	if (!this->graph->valid(e.in)) {
   1.753 +	  e.forward=false;
   1.754 +	  this->graph->first(e.out, v); 
   1.755 +	  while( this->graph->valid(e.out) && !(resCap(e)>0) ) { 
   1.756 +	    this->graph->next(e.out); }
   1.757 +	}
   1.758 +      } else {
   1.759 +	this->graph->next(e.out);
   1.760 +	while( this->graph->valid(e.out) && !(resCap(e)>0) ) { 
   1.761 +	  this->graph->next(e.out); } 
   1.762 +      }
   1.763 +      return e;
   1.764 +    }
   1.765 +    EdgeIt& next(EdgeIt& e) const {
   1.766 +      if (e.forward) {
   1.767 +	this->graph->next(e.e);
   1.768 +	while( this->graph->valid(e.e) && !(resCap(e)>0) ) { 
   1.769 +	  this->graph->next(e.e); }
   1.770 +	if (!this->graph->valid(e.e)) {
   1.771 +	  e.forward=false;
   1.772 +	  this->graph->first(e.e); 
   1.773 +	  while( this->graph->valid(e.e) && !(resCap(e)>0) ) { 
   1.774 +	    this->graph->next(e.e); }
   1.775 +	}
   1.776 +      } else {
   1.777 +	this->graph->next(e.e);
   1.778 +	while( this->graph->valid(e.e) && !(resCap(e)>0) ) { 
   1.779 +	  this->graph->next(e.e); } 
   1.780 +      }
   1.781 +      return e;
   1.782 +    }
   1.783 +
   1.784 +    Node tail(Edge e) const { 
   1.785 +      return ((e.forward) ? this->graph->tail(e) : this->graph->head(e)); }
   1.786 +    Node head(Edge e) const { 
   1.787 +      return ((e.forward) ? this->graph->head(e) : this->graph->tail(e)); }
   1.788 +
   1.789 +    Node aNode(OutEdgeIt e) const { 
   1.790 +      return ((e.forward) ? this->graph->aNode(e.out) : 
   1.791 +	      this->graph->aNode(e.in)); }
   1.792 +    Node bNode(OutEdgeIt e) const { 
   1.793 +      return ((e.forward) ? this->graph->bNode(e.out) : 
   1.794 +	      this->graph->bNode(e.in)); }
   1.795 +
   1.796 +    Node aNode(InEdgeIt e) const { 
   1.797 +      return ((e.forward) ? this->graph->aNode(e.in) : 
   1.798 +	      this->graph->aNode(e.out)); }
   1.799 +    Node bNode(InEdgeIt e) const { 
   1.800 +      return ((e.forward) ? this->graph->bNode(e.in) : 
   1.801 +	      this->graph->bNode(e.out)); }
   1.802 +
   1.803 +//    int nodeNum() const { return graph->nodeNum(); }
   1.804 +    //FIXME
   1.805 +    void edgeNum() const { }
   1.806 +    //int edgeNum() const { return graph->edgeNum(); }
   1.807 +
   1.808 +
   1.809 +//    int id(Node v) const { return graph->id(v); }
   1.810 +
   1.811 +    bool valid(Node n) const { return GraphWrapper<Graph>::valid(n); }
   1.812 +    bool valid(Edge e) const { 
   1.813 +      return this->graph->valid(e);
   1.814 +	//return e.forward ? graph->valid(e.out) : graph->valid(e.in); 
   1.815 +    }
   1.816 +
   1.817 +    bool forward(const Edge& e) const { return e.forward; }
   1.818 +    bool backward(const Edge& e) const { return !e.forward; }
   1.819 +
   1.820 +    void augment(const Edge& e, Number a) const {
   1.821 +      if (e.forward)  
   1.822 +// 	flow->set(e.out, flow->get(e.out)+a);
   1.823 +	flow->set(e, (*flow)[e]+a);
   1.824 +      else  
   1.825 +// 	flow->set(e.in, flow->get(e.in)-a);
   1.826 +	flow->set(e, (*flow)[e]-a);
   1.827 +    }
   1.828 +
   1.829 +    Number resCap(const Edge& e) const { 
   1.830 +      if (e.forward) 
   1.831 +//	return (capacity->get(e.out)-flow->get(e.out)); 
   1.832 +	return ((*capacity)[e]-(*flow)[e]); 
   1.833 +      else 
   1.834 +//	return (flow->get(e.in)); 
   1.835 +	return ((*flow)[e]); 
   1.836 +    }
   1.837 +
   1.838 +//     Number resCap(typename Graph::OutEdgeIt out) const { 
   1.839 +// //      return (capacity->get(out)-flow->get(out)); 
   1.840 +//       return ((*capacity)[out]-(*flow)[out]); 
   1.841 +//     }
   1.842 +    
   1.843 +//     Number resCap(typename Graph::InEdgeIt in) const { 
   1.844 +// //      return (flow->get(in)); 
   1.845 +//       return ((*flow)[in]); 
   1.846 +//     }
   1.847 +
   1.848 +    template <typename T>
   1.849 +    class EdgeMap {
   1.850 +      typename Graph::template EdgeMap<T> forward_map, backward_map; 
   1.851 +    public:
   1.852 +      EdgeMap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G) : forward_map(*(_G.graph)), backward_map(*(_G.graph)) { }
   1.853 +      EdgeMap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G, T a) : forward_map(*(_G.graph), a), backward_map(*(_G.graph), a) { }
   1.854 +      void set(Edge e, T a) { 
   1.855 +	if (e.forward) 
   1.856 +	  forward_map.set(e.out, a); 
   1.857 +	else 
   1.858 +	  backward_map.set(e.in, a); 
   1.859 +      }
   1.860 +      T operator[](Edge e) const { 
   1.861 +	if (e.forward) 
   1.862 +	  return forward_map[e.out]; 
   1.863 +	else 
   1.864 +	  return backward_map[e.in]; 
   1.865 +      }
   1.866 +//       T get(Edge e) const { 
   1.867 +// 	if (e.out_or_in) 
   1.868 +// 	  return forward_map.get(e.out); 
   1.869 +// 	else 
   1.870 +// 	  return backward_map.get(e.in); 
   1.871 +//       }
   1.872 +    };
   1.873 +  };
   1.874 +
   1.875 +  /// ErasingFirstGraphWrapper for blocking flows.
   1.876 +
   1.877 +  /// ErasingFirstGraphWrapper for blocking flows.
   1.878 +  ///
   1.879 +  ///\author Marton Makai
   1.880 +  template<typename Graph, typename FirstOutEdgesMap>
   1.881 +  class ErasingFirstGraphWrapper : public GraphWrapper<Graph> {
   1.882 +  protected:
   1.883 +    FirstOutEdgesMap* first_out_edges;
   1.884 +  public:
   1.885 +    ErasingFirstGraphWrapper(Graph& _graph, 
   1.886 +			     FirstOutEdgesMap& _first_out_edges) : 
   1.887 +      GraphWrapper<Graph>(_graph), first_out_edges(&_first_out_edges) { }  
   1.888 +
   1.889 +    typedef typename GraphWrapper<Graph>::Node Node;
   1.890 +//     class NodeIt { 
   1.891 +//       friend class GraphWrapper<Graph>;
   1.892 +//       friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
   1.893 +//       typename Graph::NodeIt n;
   1.894 +//      public:
   1.895 +//       NodeIt() { }
   1.896 +//       NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
   1.897 +//       NodeIt(const Invalid& i) : n(i) { }
   1.898 +//       NodeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G) : 
   1.899 +// 	n(*(_G.graph)) { }
   1.900 +//       operator Node() const { return Node(typename Graph::Node(n)); }
   1.901 +//     };
   1.902 +    typedef typename GraphWrapper<Graph>::Edge Edge;
   1.903 +    class OutEdgeIt { 
   1.904 +      friend class GraphWrapper<Graph>;
   1.905 +      friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
   1.906 +//      typedef typename Graph::OutEdgeIt GraphOutEdgeIt;
   1.907 +      typename Graph::OutEdgeIt e;
   1.908 +    public:
   1.909 +      OutEdgeIt() { }
   1.910 +      OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
   1.911 +      OutEdgeIt(const Invalid& i) : e(i) { }
   1.912 +      OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G, 
   1.913 +		const Node& _n) : 
   1.914 +	e((*_G.first_out_edges)[_n]) { }
   1.915 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.916 +    };
   1.917 +    class InEdgeIt { 
   1.918 +      friend class GraphWrapper<Graph>;
   1.919 +      friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
   1.920 +//      typedef typename Graph::InEdgeIt GraphInEdgeIt;
   1.921 +      typename Graph::InEdgeIt e;
   1.922 +    public:
   1.923 +      InEdgeIt() { }
   1.924 +      InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
   1.925 +      InEdgeIt(const Invalid& i) : e(i) { }
   1.926 +      InEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G, 
   1.927 +	       const Node& _n) : 
   1.928 +	e(*(_G.graph), typename Graph::Node(_n)) { }
   1.929 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.930 +    };
   1.931 +    //typedef typename Graph::SymEdgeIt SymEdgeIt;
   1.932 +    class EdgeIt { 
   1.933 +      friend class GraphWrapper<Graph>;
   1.934 +      friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
   1.935 +//      typedef typename Graph::EdgeIt GraphEdgeIt;
   1.936 +      typename Graph::EdgeIt e;
   1.937 +    public:
   1.938 +      EdgeIt() { }
   1.939 +      EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
   1.940 +      EdgeIt(const Invalid& i) : e(i) { }
   1.941 +      EdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G) : 
   1.942 +	e(*(_G.graph)) { }
   1.943 +      operator Edge() const { return Edge(typename Graph::Edge(e)); }
   1.944 +    };
   1.945 +
   1.946 +    using GraphWrapper<Graph>::first;
   1.947 +//     NodeIt& first(NodeIt& i) const { 
   1.948 +//       i=NodeIt(*this); return i;
   1.949 +//     }
   1.950 +    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { 
   1.951 +      i=OutEdgeIt(*this, p); return i;
   1.952 +    }
   1.953 +    InEdgeIt& first(InEdgeIt& i, const Node& p) const { 
   1.954 +      i=InEdgeIt(*this, p); return i;
   1.955 +    }
   1.956 +    EdgeIt& first(EdgeIt& i) const { 
   1.957 +      i=EdgeIt(*this); return i;
   1.958 +    }
   1.959 +
   1.960 +    using GraphWrapper<Graph>::next;
   1.961 +//    NodeIt& next(NodeIt& i) const { graph->next(i.n); return i; }
   1.962 +    OutEdgeIt& next(OutEdgeIt& i) const { this->graph->next(i.e); return i; }
   1.963 +    InEdgeIt& next(InEdgeIt& i) const { this->graph->next(i.e); return i; }
   1.964 +    EdgeIt& next(EdgeIt& i) const { this->graph->next(i.e); return i; }    
   1.965 +    
   1.966 +    Node aNode(const OutEdgeIt& e) const { 
   1.967 +      return Node(this->graph->aNode(e.e)); }
   1.968 +    Node aNode(const InEdgeIt& e) const { 
   1.969 +      return Node(this->graph->aNode(e.e)); }
   1.970 +    Node bNode(const OutEdgeIt& e) const { 
   1.971 +      return Node(this->graph->bNode(e.e)); }
   1.972 +    Node bNode(const InEdgeIt& e) const { 
   1.973 +      return Node(this->graph->bNode(e.e)); }
   1.974 +
   1.975 +    void erase(const OutEdgeIt& e) const {
   1.976 +      OutEdgeIt f=e;
   1.977 +      this->next(f);
   1.978 +      first_out_edges->set(this->tail(e), f.e);
   1.979 +    }
   1.980 +  };
   1.981 +
   1.982 +  ///@}
   1.983 +
   1.984 +} //namespace hugo
   1.985 +
   1.986 +
   1.987 +#endif //HUGO_GRAPH_WRAPPER_H
   1.988 +