/* -*- C++ -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library

  *

  * Copyright (C) 2003-2006

  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

  * (Egervary Research Group on Combinatorial Optimization, EGRES).

  *

  * Permission to use, modify and distribute this software is granted

  * provided that this copyright notice appears in all copies. For

  * precise terms see the accompanying LICENSE file.

  *

  * This software is provided "AS IS" with no warranty of any kind,

  * express or implied, and with no claim as to its suitability for any

  * purpose.

  *

  */

 #ifndef LEMON_BITS_GRAPH_EXTENDER_H

 #define LEMON_BITS_GRAPH_EXTENDER_H

 #include <lemon/bits/invalid.h>

 #include <lemon/error.h>

 #include <lemon/bits/default_map.h>

 ///\ingroup graphbits

 ///\file

 ///\brief Extenders for the graph types

 namespace lemon {

   /// \ingroup graphbits

   ///

   /// \brief Extender for the Graphs

   template <typename Base>

   class GraphExtender : public Base {

   public:

     typedef Base Parent;

     typedef GraphExtender Graph;

     // Base extensions

     typedef typename Parent::Node Node;

     typedef typename Parent::Edge Edge;

     int maxId(Node) const {

       return Parent::maxNodeId();

     }

     int maxId(Edge) const {

       return Parent::maxEdgeId();

     }

     Node fromId(int id, Node) const {

       return Parent::nodeFromId(id);

     }

     Edge fromId(int id, Edge) const {

       return Parent::edgeFromId(id);

     }

     Node oppositeNode(const Node &n, const Edge &e) const {

       if (n == Parent::source(e))

 	return Parent::target(e);

       else if(n==Parent::target(e))

 	return Parent::source(e);

       else

 	return INVALID;

     }

     // Alterable extension

     typedef AlterationNotifier<Node> NodeNotifier;

     typedef AlterationNotifier<Edge> EdgeNotifier;

   protected:

     mutable NodeNotifier node_notifier;

     mutable EdgeNotifier edge_notifier;

   public:

     NodeNotifier& getNotifier(Node) const {

       return node_notifier;

     }

     EdgeNotifier& getNotifier(Edge) const {

       return edge_notifier;

     }

     class NodeIt : public Node { 

       const Graph* graph;

     public:

       NodeIt() {}

       NodeIt(Invalid i) : Node(i) { }

       explicit NodeIt(const Graph& _graph) : graph(&_graph) {

 	_graph.first(*static_cast<Node*>(this));

       }

       NodeIt(const Graph& _graph, const Node& node) 

 	: Node(node), graph(&_graph) {}

       NodeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class EdgeIt : public Edge { 

       const Graph* graph;

     public:

       EdgeIt() { }

       EdgeIt(Invalid i) : Edge(i) { }

       explicit EdgeIt(const Graph& _graph) : graph(&_graph) {

 	_graph.first(*static_cast<Edge*>(this));

       }

       EdgeIt(const Graph& _graph, const Edge& e) : 

 	Edge(e), graph(&_graph) { }

       EdgeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class OutEdgeIt : public Edge { 

       const Graph* graph;

     public:

       OutEdgeIt() { }

       OutEdgeIt(Invalid i) : Edge(i) { }

       OutEdgeIt(const Graph& _graph, const Node& node) 

 	: graph(&_graph) {

 	_graph.firstOut(*this, node);

       }

       OutEdgeIt(const Graph& _graph, const Edge& edge) 

 	: Edge(edge), graph(&_graph) {}

       OutEdgeIt& operator++() { 

 	graph->nextOut(*this);

 	return *this; 

       }

     };

     class InEdgeIt : public Edge { 

       const Graph* graph;

     public:

       InEdgeIt() { }

       InEdgeIt(Invalid i) : Edge(i) { }

       InEdgeIt(const Graph& _graph, const Node& node) 

 	: graph(&_graph) {

 	_graph.firstIn(*this, node);

       }

       InEdgeIt(const Graph& _graph, const Edge& edge) : 

 	Edge(edge), graph(&_graph) {}

       InEdgeIt& operator++() { 

 	graph->nextIn(*this);

 	return *this; 

       }

     };

     /// \brief Base node of the iterator

     ///

     /// Returns the base node (ie. the source in this case) of the iterator

     Node baseNode(const OutEdgeIt &e) const {

       return Parent::source(e);

     }

     /// \brief Running node of the iterator

     ///

     /// Returns the running node (ie. the target in this case) of the

     /// iterator

     Node runningNode(const OutEdgeIt &e) const {

       return Parent::target(e);

     }

     /// \brief Base node of the iterator

     ///

     /// Returns the base node (ie. the target in this case) of the iterator

     Node baseNode(const InEdgeIt &e) const {

       return Parent::target(e);

     }

     /// \brief Running node of the iterator

     ///

     /// Returns the running node (ie. the source in this case) of the

     /// iterator

     Node runningNode(const InEdgeIt &e) const {

       return Parent::source(e);

     }

     template <typename _Value>

     class NodeMap 

       : public IterableMapExtender<DefaultMap<Graph, Node, _Value> > {

     public:

       typedef GraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, Node, _Value> > Parent;

       NodeMap(const Graph& _g) 

 	: Parent(_g) {}

       NodeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       NodeMap& operator=(const NodeMap& cmap) {

 	return operator=<NodeMap>(cmap);

       }

       /// \brief Template assign operator.

       ///

       /// The given parameter should be conform to the ReadMap

       /// concecpt and could be indiced by the current item set of

       /// the NodeMap. In this case the value for each item

       /// is assigned by the value of the given ReadMap. 

       template <typename CMap>

       NodeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<Node, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	Node it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     template <typename _Value>

     class EdgeMap 

       : public IterableMapExtender<DefaultMap<Graph, Edge, _Value> > {

     public:

       typedef GraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, Edge, _Value> > Parent;

       EdgeMap(const Graph& _g) 

 	: Parent(_g) {}

       EdgeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       EdgeMap& operator=(const EdgeMap& cmap) {

 	return operator=<EdgeMap>(cmap);

       }

       template <typename CMap>

       EdgeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<Edge, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	Edge it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     Node addNode() {

       Node node = Parent::addNode();

       getNotifier(Node()).add(node);

       return node;

     }

     Edge addEdge(const Node& from, const Node& to) {

       Edge edge = Parent::addEdge(from, to);

       getNotifier(Edge()).add(edge);

       return edge;

     }

     void clear() {

       getNotifier(Edge()).clear();

       getNotifier(Node()).clear();

       Parent::clear();

     }

     void erase(const Node& node) {

       Edge edge;

       Parent::firstOut(edge, node);

       while (edge != INVALID ) {

 	erase(edge);

 	Parent::firstOut(edge, node);

       } 

       Parent::firstIn(edge, node);

       while (edge != INVALID ) {

 	erase(edge);

 	Parent::firstIn(edge, node);

       }

       getNotifier(Node()).erase(node);

       Parent::erase(node);

     }

     void erase(const Edge& edge) {

       getNotifier(Edge()).erase(edge);

       Parent::erase(edge);

     }

     ~GraphExtender() {

       getNotifier(Edge()).clear();

       getNotifier(Node()).clear();

     }

   };

   /// \ingroup graphbits

   ///

   /// \brief BaseExtender for the UGraphs

   template <typename Base>

   class UGraphBaseExtender : public Base {

   public:

     typedef Base Parent;

     typedef typename Parent::Edge UEdge;

     typedef typename Parent::Node Node;

     typedef True UndirectedTag;

     class Edge : public UEdge {

       friend class UGraphBaseExtender;

     protected:

       bool forward;

       Edge(const UEdge &ue, bool _forward) :

         UEdge(ue), forward(_forward) {}

     public:

       Edge() {}

       /// Invalid edge constructor

       Edge(Invalid i) : UEdge(i), forward(true) {}

       bool operator==(const Edge &that) const {

 	return forward==that.forward && UEdge(*this)==UEdge(that);

       }

       bool operator!=(const Edge &that) const {

 	return forward!=that.forward || UEdge(*this)!=UEdge(that);

       }

       bool operator<(const Edge &that) const {

 	return forward<that.forward ||

 	  (!(that.forward<forward) && UEdge(*this)<UEdge(that));

       }

     };

     using Parent::source;

     /// Source of the given Edge.

     Node source(const Edge &e) const {

       return e.forward ? Parent::source(e) : Parent::target(e);

     }

     using Parent::target;

     /// Target of the given Edge.

     Node target(const Edge &e) const {

       return e.forward ? Parent::target(e) : Parent::source(e);

     }

     /// \brief Directed edge from an undirected edge.

     ///

     /// Returns a directed edge corresponding to the specified UEdge.

     /// If the given bool is true the given undirected edge and the

     /// returned edge have the same source node.

     static Edge direct(const UEdge &ue, bool d) {

       return Edge(ue, d);

     }

     /// Returns whether the given directed edge is same orientation as the

     /// corresponding undirected edge.

     ///

     /// \todo reference to the corresponding point of the undirected graph

     /// concept. "What does the direction of an undirected edge mean?"

     static bool direction(const Edge &e) { return e.forward; }

     using Parent::first;

     using Parent::next;

     void first(Edge &e) const {

       Parent::first(e);

       e.forward=true;

     }

     void next(Edge &e) const {

       if( e.forward ) {

 	e.forward = false;

       }

       else {

 	Parent::next(e);

 	e.forward = true;

       }

     }

     void firstOut(Edge &e, const Node &n) const {

       Parent::firstIn(e,n);

       if( UEdge(e) != INVALID ) {

 	e.forward = false;

       }

       else {

 	Parent::firstOut(e,n);

 	e.forward = true;

       }

     }

     void nextOut(Edge &e) const {

       if( ! e.forward ) {

 	Node n = Parent::target(e);

 	Parent::nextIn(e);

 	if( UEdge(e) == INVALID ) {

 	  Parent::firstOut(e, n);

 	  e.forward = true;

 	}

       }

       else {

 	Parent::nextOut(e);

       }

     }

     void firstIn(Edge &e, const Node &n) const {

       Parent::firstOut(e,n);

       if( UEdge(e) != INVALID ) {

 	e.forward = false;

       }

       else {

 	Parent::firstIn(e,n);

 	e.forward = true;

       }

     }

     void nextIn(Edge &e) const {

       if( ! e.forward ) {

 	Node n = Parent::source(e);

 	Parent::nextOut(e);

 	if( UEdge(e) == INVALID ) {

 	  Parent::firstIn(e, n);

 	  e.forward = true;

 	}

       }

       else {

 	Parent::nextIn(e);

       }

     }

     void firstInc(UEdge &e, bool &d, const Node &n) const {

       d = true;

       Parent::firstOut(e, n);

       if (e != INVALID) return;

       d = false;

       Parent::firstIn(e, n);

     }

     void nextInc(UEdge &e, bool &d) const {

       if (d) {

 	Node s = Parent::source(e);

 	Parent::nextOut(e);

 	if (e != INVALID) return;

 	d = false;

 	Parent::firstIn(e, s);

       } else {

 	Parent::nextIn(e);

       }

     }

     Node nodeFromId(int id) const {

       return Parent::nodeFromId(id);

     }

     Edge edgeFromId(int id) const {

       return direct(Parent::edgeFromId(id >> 1), bool(id & 1));

     }

     UEdge uEdgeFromId(int id) const {

       return Parent::edgeFromId(id >> 1);

     }

     int id(const Node &n) const {

       return Parent::id(n);

     }

     int id(const UEdge &e) const {

       return Parent::id(e);

     }

     int id(const Edge &e) const {

       return 2 * Parent::id(e) + int(e.forward);

     }

     int maxNodeId() const {

       return Parent::maxNodeId();

     }

     int maxEdgeId() const {

       return 2 * Parent::maxEdgeId() + 1;

     }

     int maxUEdgeId() const {

       return Parent::maxEdgeId();

     }

     int edgeNum() const {

       return 2 * Parent::edgeNum();

     }

     int uEdgeNum() const {

       return Parent::edgeNum();

     }

     Edge findEdge(Node source, Node target, Edge prev) const {

       if (prev == INVALID) {

 	UEdge edge = Parent::findEdge(source, target);

 	if (edge != INVALID) return direct(edge, true);

 	edge = Parent::findEdge(target, source);

 	if (edge != INVALID) return direct(edge, false);

       } else if (direction(prev)) {

 	UEdge edge = Parent::findEdge(source, target, prev);

 	if (edge != INVALID) return direct(edge, true);

 	edge = Parent::findEdge(target, source);

 	if (edge != INVALID) return direct(edge, false);	

       } else {

 	UEdge edge = Parent::findEdge(target, source, prev);

 	if (edge != INVALID) return direct(edge, false);	      

       }

       return INVALID;

     }

     UEdge findUEdge(Node source, Node target, UEdge prev) const {

       if (prev == INVALID) {

 	UEdge edge = Parent::findEdge(source, target);

 	if (edge != INVALID) return edge;

 	edge = Parent::findEdge(target, source);

 	if (edge != INVALID) return edge;

       } else if (Parent::source(prev) == source) {

 	UEdge edge = Parent::findEdge(source, target, prev);

 	if (edge != INVALID) return edge;

 	edge = Parent::findEdge(target, source);

 	if (edge != INVALID) return edge;	

       } else {

 	UEdge edge = Parent::findEdge(target, source, prev);

 	if (edge != INVALID) return edge;	      

       }

       return INVALID;

     }

   };

   /// \ingroup graphbits

   ///

   /// \brief Extender for the UGraphs

   template <typename Base> 

   class UGraphExtender : public Base {

   public:

     typedef Base Parent;

     typedef UGraphExtender Graph;

     typedef typename Parent::Node Node;

     typedef typename Parent::Edge Edge;

     typedef typename Parent::UEdge UEdge;

     // UGraph extension    

     int maxId(Node) const {

       return Parent::maxNodeId();

     }

     int maxId(Edge) const {

       return Parent::maxEdgeId();

     }

     int maxId(UEdge) const {

       return Parent::maxUEdgeId();

     }

     Node fromId(int id, Node) const {

       return Parent::nodeFromId(id);

     }

     Edge fromId(int id, Edge) const {

       return Parent::edgeFromId(id);

     }

     UEdge fromId(int id, UEdge) const {

       return Parent::uEdgeFromId(id);

     }

     Node oppositeNode(const Node &n, const UEdge &e) const {

       if( n == Parent::source(e))

 	return Parent::target(e);

       else if( n == Parent::target(e))

 	return Parent::source(e);

       else

 	return INVALID;

     }

     Edge oppositeEdge(const Edge &e) const {

       return Parent::direct(e, !Parent::direction(e));

     }

     using Parent::direct;

     Edge direct(const UEdge &ue, const Node &s) const {

       return Parent::direct(ue, Parent::source(ue) == s);

     }

     // Alterable extension

     typedef AlterationNotifier<Node> NodeNotifier;

     typedef AlterationNotifier<Edge> EdgeNotifier;

     typedef AlterationNotifier<UEdge> UEdgeNotifier;

   protected:

     mutable NodeNotifier node_notifier;

     mutable EdgeNotifier edge_notifier;

     mutable UEdgeNotifier uedge_notifier;

   public:

     NodeNotifier& getNotifier(Node) const {

       return node_notifier;

     }

     EdgeNotifier& getNotifier(Edge) const {

       return edge_notifier;

     }

     UEdgeNotifier& getNotifier(UEdge) const {

       return uedge_notifier;

     }

     class NodeIt : public Node { 

       const Graph* graph;

     public:

       NodeIt() {}

       NodeIt(Invalid i) : Node(i) { }

       explicit NodeIt(const Graph& _graph) : graph(&_graph) {

 	_graph.first(*static_cast<Node*>(this));

       }

       NodeIt(const Graph& _graph, const Node& node) 

 	: Node(node), graph(&_graph) {}

       NodeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class EdgeIt : public Edge { 

       const Graph* graph;

     public:

       EdgeIt() { }

       EdgeIt(Invalid i) : Edge(i) { }

       explicit EdgeIt(const Graph& _graph) : graph(&_graph) {

 	_graph.first(*static_cast<Edge*>(this));

       }

       EdgeIt(const Graph& _graph, const Edge& e) : 

 	Edge(e), graph(&_graph) { }

       EdgeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class OutEdgeIt : public Edge { 

       const Graph* graph;

     public:

       OutEdgeIt() { }

       OutEdgeIt(Invalid i) : Edge(i) { }

       OutEdgeIt(const Graph& _graph, const Node& node) 

 	: graph(&_graph) {

 	_graph.firstOut(*this, node);

       }

       OutEdgeIt(const Graph& _graph, const Edge& edge) 

 	: Edge(edge), graph(&_graph) {}

       OutEdgeIt& operator++() { 

 	graph->nextOut(*this);

 	return *this; 

       }

     };

     class InEdgeIt : public Edge { 

       const Graph* graph;

     public:

       InEdgeIt() { }

       InEdgeIt(Invalid i) : Edge(i) { }

       InEdgeIt(const Graph& _graph, const Node& node) 

 	: graph(&_graph) {

 	_graph.firstIn(*this, node);

       }

       InEdgeIt(const Graph& _graph, const Edge& edge) : 

 	Edge(edge), graph(&_graph) {}

       InEdgeIt& operator++() { 

 	graph->nextIn(*this);

 	return *this; 

       }

     };

     class UEdgeIt : public Parent::UEdge { 

       const Graph* graph;

     public:

       UEdgeIt() { }

       UEdgeIt(Invalid i) : UEdge(i) { }

       explicit UEdgeIt(const Graph& _graph) : graph(&_graph) {

 	_graph.first(*static_cast<UEdge*>(this));

       }

       UEdgeIt(const Graph& _graph, const UEdge& e) : 

 	UEdge(e), graph(&_graph) { }

       UEdgeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class IncEdgeIt : public Parent::UEdge {

       friend class UGraphExtender;

       const Graph* graph;

       bool direction;

     public:

       IncEdgeIt() { }

       IncEdgeIt(Invalid i) : UEdge(i), direction(false) { }

       IncEdgeIt(const Graph& _graph, const Node &n) : graph(&_graph) {

 	_graph.firstInc(*this, direction, n);

       }

       IncEdgeIt(const Graph& _graph, const UEdge &ue, const Node &n)

 	: graph(&_graph), UEdge(ue) {

 	direction = (_graph.source(ue) == n);

       }

       IncEdgeIt& operator++() {

 	graph->nextInc(*this, direction);

 	return *this; 

       }

     };

     /// \brief Base node of the iterator

     ///

     /// Returns the base node (ie. the source in this case) of the iterator

     Node baseNode(const OutEdgeIt &e) const {

       return Parent::source((Edge)e);

     }

     /// \brief Running node of the iterator

     ///

     /// Returns the running node (ie. the target in this case) of the

     /// iterator

     Node runningNode(const OutEdgeIt &e) const {

       return Parent::target((Edge)e);

     }

     /// \brief Base node of the iterator

     ///

     /// Returns the base node (ie. the target in this case) of the iterator

     Node baseNode(const InEdgeIt &e) const {

       return Parent::target((Edge)e);

     }

     /// \brief Running node of the iterator

     ///

     /// Returns the running node (ie. the source in this case) of the

     /// iterator

     Node runningNode(const InEdgeIt &e) const {

       return Parent::source((Edge)e);

     }

     /// Base node of the iterator

     ///

     /// Returns the base node of the iterator

     Node baseNode(const IncEdgeIt &e) const {

       return e.direction ? source(e) : target(e);

     }

     /// Running node of the iterator

     ///

     /// Returns the running node of the iterator

     Node runningNode(const IncEdgeIt &e) const {

       return e.direction ? target(e) : source(e);

     }

     // Mappable extension

     template <typename _Value>

     class NodeMap 

       : public IterableMapExtender<DefaultMap<Graph, Node, _Value> > {

     public:

       typedef UGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, Node, _Value> > Parent;

       NodeMap(const Graph& _g) 

 	: Parent(_g) {}

       NodeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       NodeMap& operator=(const NodeMap& cmap) {

 	return operator=<NodeMap>(cmap);

       }

       /// \brief Template assign operator.

       ///

       /// The given parameter should be conform to the ReadMap

       /// concecpt and could be indiced by the current item set of

       /// the NodeMap. In this case the value for each item

       /// is assigned by the value of the given ReadMap. 

       template <typename CMap>

       NodeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<Node, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	Node it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     template <typename _Value>

     class EdgeMap 

       : public IterableMapExtender<DefaultMap<Graph, Edge, _Value> > {

     public:

       typedef UGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, Edge, _Value> > Parent;

       EdgeMap(const Graph& _g) 

 	: Parent(_g) {}

       EdgeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       EdgeMap& operator=(const EdgeMap& cmap) {

 	return operator=<EdgeMap>(cmap);

       }

       template <typename CMap>

       EdgeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<Edge, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	Edge it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     template <typename _Value>

     class UEdgeMap 

       : public IterableMapExtender<DefaultMap<Graph, UEdge, _Value> > {

     public:

       typedef UGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, UEdge, _Value> > Parent;

       UEdgeMap(const Graph& _g) 

 	: Parent(_g) {}

       UEdgeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       UEdgeMap& operator=(const UEdgeMap& cmap) {

 	return operator=<UEdgeMap>(cmap);

       }

       template <typename CMap>

       UEdgeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<UEdge, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	UEdge it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     // Alteration extension

     Node addNode() {

       Node node = Parent::addNode();

       getNotifier(Node()).add(node);

       return node;

     }

     UEdge addEdge(const Node& from, const Node& to) {

       UEdge uedge = Parent::addEdge(from, to);

       getNotifier(UEdge()).add(uedge);

       getNotifier(Edge()).add(Parent::direct(uedge, true));

       getNotifier(Edge()).add(Parent::direct(uedge, false));

       return uedge;

     }

     void clear() {

       getNotifier(Edge()).clear();

       getNotifier(UEdge()).clear();

       getNotifier(Node()).clear();

       Parent::clear();

     }

     void erase(const Node& node) {

       Edge edge;

       Parent::firstOut(edge, node);

       while (edge != INVALID ) {

 	erase(edge);

 	Parent::firstOut(edge, node);

       } 

       Parent::firstIn(edge, node);

       while (edge != INVALID ) {

 	erase(edge);

 	Parent::firstIn(edge, node);

       }

       getNotifier(Node()).erase(node);

       Parent::erase(node);

     }

     void erase(const UEdge& uedge) {

       getNotifier(Edge()).erase(Parent::direct(uedge, true));

       getNotifier(Edge()).erase(Parent::direct(uedge, false));

       getNotifier(UEdge()).erase(uedge);

       Parent::erase(uedge);

     }

     ~UGraphExtender() {

       getNotifier(Edge()).clear();

       getNotifier(UEdge()).clear();

       getNotifier(Node()).clear();

     }

   };

   /// \ingroup graphbits

   ///

   /// \brief BaseExtender for the BpUGraphs

   template <typename Base>

   class BpUGraphBaseExtender : public Base {

   public:

     typedef Base Parent;

     typedef BpUGraphBaseExtender Graph;

     typedef typename Parent::Node Node;

     typedef typename Parent::Edge UEdge;

     using Parent::first;

     using Parent::next;

     using Parent::id;

     class ANode : public Node {

       friend class BpUGraphBaseExtender;

     public:

       ANode() {}

       ANode(const Node& node) : Node(node) {

 	LEMON_ASSERT(Parent::aNode(node) || node == INVALID, 

 		     typename Parent::NodeSetError());

       }

       ANode(Invalid) : Node(INVALID) {}

     };

     void first(ANode& node) const {

       Parent::firstANode(static_cast<Node&>(node));

     }

     void next(ANode& node) const {

       Parent::nextANode(static_cast<Node&>(node));

     }

     int id(const ANode& node) const {

       return Parent::aNodeId(node);

     }

     class BNode : public Node {

       friend class BpUGraphBaseExtender;

     public:

       BNode() {}

       BNode(const Node& node) : Node(node) {

 	LEMON_ASSERT(Parent::bNode(node) || node == INVALID,

 		     typename Parent::NodeSetError());

       }

       BNode(Invalid) : Node(INVALID) {}

     };

     void first(BNode& node) const {

       Parent::firstBNode(static_cast<Node&>(node));

     }

     void next(BNode& node) const {

       Parent::nextBNode(static_cast<Node&>(node));

     }

     int id(const BNode& node) const {

       return Parent::aNodeId(node);

     }

     Node source(const UEdge& edge) const {

       return aNode(edge);

     }

     Node target(const UEdge& edge) const {

       return bNode(edge);

     }

     void firstInc(UEdge& edge, bool& direction, const Node& node) const {

       if (Parent::aNode(node)) {

 	Parent::firstOut(edge, node);

 	direction = true;

       } else {

 	Parent::firstIn(edge, node);

 	direction = static_cast<UEdge&>(edge) == INVALID;

       }

     }

     void nextInc(UEdge& edge, bool& direction) const {

       if (direction) {

 	Parent::nextOut(edge);

       } else {

 	Parent::nextIn(edge);

 	if (edge == INVALID) direction = true;

       }

     }

     int maxUEdgeId() const {

       return Parent::maxEdgeId();

     }

     UEdge uEdgeFromId(int id) const {

       return Parent::edgeFromId(id);

     }

     class Edge : public UEdge {

       friend class BpUGraphBaseExtender;

     protected:

       bool forward;

       Edge(const UEdge& edge, bool _forward)

 	: UEdge(edge), forward(_forward) {}

     public:

       Edge() {}

       Edge (Invalid) : UEdge(INVALID), forward(true) {}

       bool operator==(const Edge& i) const {

 	return UEdge::operator==(i) && forward == i.forward;

       }

       bool operator!=(const Edge& i) const {

 	return UEdge::operator!=(i) || forward != i.forward;

       }

       bool operator<(const Edge& i) const {

 	return UEdge::operator<(i) || 

 	  (!(i.forward<forward) && UEdge(*this)<UEdge(i));

       }

     };

     void first(Edge& edge) const {

       Parent::first(static_cast<UEdge&>(edge));

       edge.forward = true;

     }

     void next(Edge& edge) const {

       if (!edge.forward) {

 	Parent::next(static_cast<UEdge&>(edge));

       }

       edge.forward = !edge.forward;

     }

     void firstOut(Edge& edge, const Node& node) const {

       if (Parent::aNode(node)) {

 	Parent::firstOut(edge, node);

 	edge.forward = true;

       } else {

 	Parent::firstIn(edge, node);

 	edge.forward = static_cast<UEdge&>(edge) == INVALID;

       }

     }

     void nextOut(Edge& edge) const {

       if (edge.forward) {

 	Parent::nextOut(edge);

       } else {

 	Parent::nextIn(edge);

         edge.forward = static_cast<UEdge&>(edge) == INVALID;

       }

     }

     void firstIn(Edge& edge, const Node& node) const {

       if (Parent::bNode(node)) {

 	Parent::firstIn(edge, node);

 	edge.forward = true;	

       } else {

 	Parent::firstOut(edge, node);

 	edge.forward = static_cast<UEdge&>(edge) == INVALID;

       }

     }

     void nextIn(Edge& edge) const {

       if (edge.forward) {

 	Parent::nextIn(edge);

       } else {

 	Parent::nextOut(edge);

 	edge.forward = static_cast<UEdge&>(edge) == INVALID;

       }

     }

     Node source(const Edge& edge) const {

       return edge.forward ? Parent::aNode(edge) : Parent::bNode(edge);

     }

     Node target(const Edge& edge) const {

       return edge.forward ? Parent::bNode(edge) : Parent::aNode(edge);

     }

     int id(const Edge& edge) const {

       return (Parent::id(edge) << 1) + (edge.forward ? 0 : 1);

     }

     Edge edgeFromId(int id) const {

       return Edge(Parent::fromId(id >> 1, UEdge()), (id & 1) == 0);

     }

     int maxEdgeId() const {

       return (Parent::maxId(UEdge()) << 1) + 1;

     }

     bool direction(const Edge& edge) const {

       return edge.forward;

     }

     Edge direct(const UEdge& edge, bool direction) const {

       return Edge(edge, direction);

     }

   };

   /// \ingroup graphbits

   ///

   /// \brief Extender for the BpUGraphs

   template <typename Base>

   class BpUGraphExtender : public Base {

   public:

     typedef Base Parent;

     typedef BpUGraphExtender Graph;

     typedef typename Parent::Node Node;

     typedef typename Parent::BNode BNode;

     typedef typename Parent::ANode ANode;

     typedef typename Parent::Edge Edge;

     typedef typename Parent::UEdge UEdge;

     Node oppositeNode(const UEdge& edge, const Node& node) const {

       return source(edge) == node ? 

 	target(edge) : source(edge);

     }

     using Parent::direct;

     Edge direct(const UEdge& edge, const Node& node) const {

       return Edge(edge, node == Parent::source(edge));

     }

     Edge oppositeEdge(const Edge& edge) const {

       return Parent::direct(edge, !Parent::direction(edge));

     }

     int maxId(Node) const {

       return Parent::maxNodeId();

     }

     int maxId(BNode) const {

       return Parent::maxBNodeId();

     }

     int maxId(ANode) const {

       return Parent::maxANodeId();

     }

     int maxId(Edge) const {

       return Parent::maxEdgeId();

     }

     int maxId(UEdge) const {

       return Parent::maxUEdgeId();

     }

     Node fromId(int id, Node) const {

       return Parent::nodeFromId(id);

     }

     ANode fromId(int id, ANode) const {

       return Parent::fromANodeId(id);

     }

     BNode fromId(int id, BNode) const {

       return Parent::fromBNodeId(id);

     }

     Edge fromId(int id, Edge) const {

       return Parent::edgeFromId(id);

     }

     UEdge fromId(int id, UEdge) const {

       return Parent::uEdgeFromId(id);

     }  

     typedef AlterationNotifier<Node> NodeNotifier;

     typedef AlterationNotifier<BNode> BNodeNotifier;

     typedef AlterationNotifier<ANode> ANodeNotifier;

     typedef AlterationNotifier<Edge> EdgeNotifier;

     typedef AlterationNotifier<UEdge> UEdgeNotifier;

   protected:

     mutable NodeNotifier nodeNotifier;

     mutable BNodeNotifier bNodeNotifier;

     mutable ANodeNotifier aNodeNotifier;

     mutable EdgeNotifier edgeNotifier;

     mutable UEdgeNotifier uEdgeNotifier;

   public:

     NodeNotifier& getNotifier(Node) const {

       return nodeNotifier;

     }

     BNodeNotifier& getNotifier(BNode) const {

       return bNodeNotifier;

     }

     ANodeNotifier& getNotifier(ANode) const {

       return aNodeNotifier;

     }

     EdgeNotifier& getNotifier(Edge) const {

       return edgeNotifier;

     }

     UEdgeNotifier& getNotifier(UEdge) const {

       return uEdgeNotifier;

     }

     class NodeIt : public Node { 

       const Graph* graph;

     public:

       NodeIt() { }

       NodeIt(Invalid i) : Node(INVALID) { }

       explicit NodeIt(const Graph& _graph) : graph(&_graph) {

 	graph->first(static_cast<Node&>(*this));

       }

       NodeIt(const Graph& _graph, const Node& node) 

 	: Node(node), graph(&_graph) { }

       NodeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class ANodeIt : public Node { 

       friend class BpUGraphExtender;

       const Graph* graph;

     public:

       ANodeIt() { }

       ANodeIt(Invalid i) : Node(INVALID) { }

       explicit ANodeIt(const Graph& _graph) : graph(&_graph) {

 	graph->firstANode(static_cast<Node&>(*this));

       }

       ANodeIt(const Graph& _graph, const Node& node) 

 	: Node(node), graph(&_graph) {}

       ANodeIt& operator++() { 

 	graph->nextANode(*this);

 	return *this; 

       }

     };

     class BNodeIt : public Node { 

       friend class BpUGraphExtender;

       const Graph* graph;

     public:

       BNodeIt() { }

       BNodeIt(Invalid i) : Node(INVALID) { }

       explicit BNodeIt(const Graph& _graph) : graph(&_graph) {

 	graph->firstBNode(static_cast<Node&>(*this));

       }

       BNodeIt(const Graph& _graph, const Node& node) 

 	: Node(node), graph(&_graph) {}

       BNodeIt& operator++() { 

 	graph->nextBNode(*this);

 	return *this; 

       }

     };

     class EdgeIt : public Edge { 

       friend class BpUGraphExtender;

       const Graph* graph;

     public:

       EdgeIt() { }

       EdgeIt(Invalid i) : Edge(INVALID) { }

       explicit EdgeIt(const Graph& _graph) : graph(&_graph) {

 	graph->first(static_cast<Edge&>(*this));

       }

       EdgeIt(const Graph& _graph, const Edge& edge) 

 	: Edge(edge), graph(&_graph) { }

       EdgeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class UEdgeIt : public UEdge { 

       friend class BpUGraphExtender;

       const Graph* graph;

     public:

       UEdgeIt() { }

       UEdgeIt(Invalid i) : UEdge(INVALID) { }

       explicit UEdgeIt(const Graph& _graph) : graph(&_graph) {

 	graph->first(static_cast<UEdge&>(*this));

       }

       UEdgeIt(const Graph& _graph, const UEdge& edge) 

 	: UEdge(edge), graph(&_graph) { }

       UEdgeIt& operator++() { 

 	graph->next(*this);

 	return *this; 

       }

     };

     class OutEdgeIt : public Edge { 

       friend class BpUGraphExtender;

       const Graph* graph;

     public:

       OutEdgeIt() { }

       OutEdgeIt(Invalid i) : Edge(i) { }

       OutEdgeIt(const Graph& _graph, const Node& node) 

 	: graph(&_graph) {

 	graph->firstOut(*this, node);

       }

       OutEdgeIt(const Graph& _graph, const Edge& edge) 

 	: Edge(edge), graph(&_graph) {}

       OutEdgeIt& operator++() { 

 	graph->nextOut(*this);

 	return *this; 

       }

     };

     class InEdgeIt : public Edge { 

       friend class BpUGraphExtender;

       const Graph* graph;

     public:

       InEdgeIt() { }

       InEdgeIt(Invalid i) : Edge(i) { }

       InEdgeIt(const Graph& _graph, const Node& node) 

 	: graph(&_graph) {

 	graph->firstIn(*this, node);

       }

       InEdgeIt(const Graph& _graph, const Edge& edge) : 

 	Edge(edge), graph(&_graph) {}

       InEdgeIt& operator++() { 

 	graph->nextIn(*this);

 	return *this; 

       }

     };

     /// \brief Base node of the iterator

     ///

     /// Returns the base node (ie. the source in this case) of the iterator

     Node baseNode(const OutEdgeIt &e) const {

       return Parent::source((Edge&)e);

     }

     /// \brief Running node of the iterator

     ///

     /// Returns the running node (ie. the target in this case) of the

     /// iterator

     Node runningNode(const OutEdgeIt &e) const {

       return Parent::target((Edge&)e);

     }

     /// \brief Base node of the iterator

     ///

     /// Returns the base node (ie. the target in this case) of the iterator

     Node baseNode(const InEdgeIt &e) const {

       return Parent::target((Edge&)e);

     }

     /// \brief Running node of the iterator

     ///

     /// Returns the running node (ie. the source in this case) of the

     /// iterator

     Node runningNode(const InEdgeIt &e) const {

       return Parent::source((Edge&)e);

     }

     class IncEdgeIt : public Parent::UEdge { 

       friend class BpUGraphExtender;

       const Graph* graph;

       bool direction;

     public:

       IncEdgeIt() { }

       IncEdgeIt(Invalid i) : UEdge(i), direction(true) { }

       IncEdgeIt(const Graph& _graph, const Node &n) : graph(&_graph) {

 	graph->firstInc(*this, direction, n);

       }

       IncEdgeIt(const Graph& _graph, const UEdge &ue, const Node &n)

 	: graph(&_graph), UEdge(ue) {

 	direction = (graph->source(ue) == n);

       }

       IncEdgeIt& operator++() {

 	graph->nextInc(*this, direction);

 	return *this; 

       }

     };

     /// Base node of the iterator

     ///

     /// Returns the base node of the iterator

     Node baseNode(const IncEdgeIt &e) const {

       return e.direction ? source(e) : target(e);

     }

     /// Running node of the iterator

     ///

     /// Returns the running node of the iterator

     Node runningNode(const IncEdgeIt &e) const {

       return e.direction ? target(e) : source(e);

     }

     template <typename _Value>

     class ANodeMap 

       : public IterableMapExtender<DefaultMap<Graph, ANode, _Value> > {

     public:

       typedef BpUGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, ANode, _Value> > 

       Parent;

       ANodeMap(const Graph& _g) 

 	: Parent(_g) {}

       ANodeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       ANodeMap& operator=(const ANodeMap& cmap) {

 	return operator=<ANodeMap>(cmap);

       }

       /// \brief Template assign operator.

       ///

       /// The given parameter should be conform to the ReadMap

       /// concept and could be indiced by the current item set of

       /// the ANodeMap. In this case the value for each item

       /// is assigned by the value of the given ReadMap. 

       template <typename CMap>

       ANodeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<ANode, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	ANode it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     template <typename _Value>

     class BNodeMap 

       : public IterableMapExtender<DefaultMap<Graph, BNode, _Value> > {

     public:

       typedef BpUGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, BNode, _Value> > 

       Parent;

       BNodeMap(const Graph& _g) 

 	: Parent(_g) {}

       BNodeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       BNodeMap& operator=(const BNodeMap& cmap) {

 	return operator=<BNodeMap>(cmap);

       }

       /// \brief Template assign operator.

       ///

       /// The given parameter should be conform to the ReadMap

       /// concept and could be indiced by the current item set of

       /// the BNodeMap. In this case the value for each item

       /// is assigned by the value of the given ReadMap. 

       template <typename CMap>

       BNodeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<BNode, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	BNode it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

   protected:

     template <typename _Value>

     class NodeMapBase {

     public:

       typedef BpUGraphExtender Graph;

       typedef Node Key;

       typedef _Value Value;

       /// The reference type of the map;

       typedef typename BNodeMap<_Value>::Reference Reference;

       /// The pointer type of the map;

       typedef typename BNodeMap<_Value>::Pointer Pointer;

       /// The const value type of the map.

       typedef const Value ConstValue;

       /// The const reference type of the map;

       typedef typename BNodeMap<_Value>::ConstReference ConstReference;

       /// The pointer type of the map;

       typedef typename BNodeMap<_Value>::ConstPointer ConstPointer;

       typedef True ReferenceMapTag;

       NodeMapBase(const Graph& _g) 

 	: aNodeMap(_g), bNodeMap(_g) {}

       NodeMapBase(const Graph& _g, const _Value& _v) 

 	: aNodeMap(_g, _v), bNodeMap(_g, _v) {}

       ConstReference operator[](const Key& node) const {

 	if (Parent::aNode(node)) {

 	  return aNodeMap[node];

 	} else {

 	  return bNodeMap[node];

 	}

       } 

       Reference operator[](const Key& node) {

 	if (Parent::aNode(node)) {

 	  return aNodeMap[node];

 	} else {

 	  return bNodeMap[node];

 	}

       }

       void set(const Key& node, const Value& value) {

 	if (Parent::aNode(node)) {

 	  aNodeMap.set(node, value);

 	} else {

 	  bNodeMap.set(node, value);

 	}

       }

       const Graph* getGraph() const {

         return aNodeMap.getGraph();

       }

     private:

       ANodeMap<_Value> aNodeMap;

       BNodeMap<_Value> bNodeMap;

     };

   public:

     template <typename _Value>

     class NodeMap 

       : public IterableMapExtender<NodeMapBase<_Value> > {

     public:

       typedef BpUGraphExtender Graph;

       typedef IterableMapExtender< NodeMapBase<_Value> > Parent;

       NodeMap(const Graph& _g) 

 	: Parent(_g) {}

       NodeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       NodeMap& operator=(const NodeMap& cmap) {

 	return operator=<NodeMap>(cmap);

       }

       /// \brief Template assign operator.

       ///

       /// The given parameter should be conform to the ReadMap

       /// concept and could be indiced by the current item set of

       /// the NodeMap. In this case the value for each item

       /// is assigned by the value of the given ReadMap. 

       template <typename CMap>

       NodeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<Node, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	Node it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     template <typename _Value>

     class EdgeMap 

       : public IterableMapExtender<DefaultMap<Graph, Edge, _Value> > {

     public:

       typedef BpUGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, Edge, _Value> > Parent;

       EdgeMap(const Graph& _g) 

 	: Parent(_g) {}

       EdgeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       EdgeMap& operator=(const EdgeMap& cmap) {

 	return operator=<EdgeMap>(cmap);

       }

       template <typename CMap>

       EdgeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<Edge, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	Edge it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     template <typename _Value>

     class UEdgeMap 

       : public IterableMapExtender<DefaultMap<Graph, UEdge, _Value> > {

     public:

       typedef BpUGraphExtender Graph;

       typedef IterableMapExtender<DefaultMap<Graph, UEdge, _Value> > 

       Parent;

       UEdgeMap(const Graph& _g) 

 	: Parent(_g) {}

       UEdgeMap(const Graph& _g, const _Value& _v) 

 	: Parent(_g, _v) {}

       UEdgeMap& operator=(const UEdgeMap& cmap) {

 	return operator=<UEdgeMap>(cmap);

       }

       template <typename CMap>

       UEdgeMap& operator=(const CMap& cmap) {

 	checkConcept<concept::ReadMap<UEdge, _Value>, CMap>();

 	const typename Parent::Graph* graph = Parent::getGraph();

 	UEdge it;

 	for (graph->first(it); it != INVALID; graph->next(it)) {

 	  Parent::set(it, cmap[it]);

 	}

 	return *this;

       }

     };

     Node addANode() {

       Node node = Parent::addANode();

       getNotifier(ANode()).add(node);

       getNotifier(Node()).add(node);

       return node;

     }

     Node addBNode() {

       Node node = Parent::addBNode();

       getNotifier(BNode()).add(node);

       getNotifier(Node()).add(node);

       return node;

     }

     UEdge addEdge(const Node& source, const Node& target) {

       UEdge uedge = Parent::addEdge(source, target);

       getNotifier(UEdge()).add(uedge);

       std::vector<Edge> edges;

       edges.push_back(direct(uedge, true));

       edges.push_back(direct(uedge, false));

       getNotifier(Edge()).add(edges);

       return uedge;

     }

     void clear() {

       getNotifier(Edge()).clear();

       getNotifier(UEdge()).clear();

       getNotifier(Node()).clear();

       getNotifier(BNode()).clear();

       getNotifier(ANode()).clear();

       Parent::clear();

     }

     void erase(const Node& node) {

       UEdge uedge;

       bool dir;

       Parent::firstInc(uedge, dir, node);

       while (uedge != INVALID ) {

 	erase(uedge);

 	Parent::firstInc(uedge, dir, node);

       } 

       getNotifier(Node()).erase(node);

       Parent::erase(node);

     }

     void erase(const UEdge& uedge) {

       std::vector<Edge> edges;

       edges.push_back(direct(uedge, true));

       edges.push_back(direct(uedge, false));

       getNotifier(Edge()).erase(edges);

       getNotifier(UEdge()).erase(uedge);

       Parent::erase(uedge);

     }

     ~BpUGraphExtender() {

       getNotifier(Edge()).clear();

       getNotifier(UEdge()).clear();

       getNotifier(Node()).clear();

       getNotifier(BNode()).clear();

       getNotifier(ANode()).clear();

     }

   };

 }

 #endif