lemon-0.x: comparison lemon/concepts/graph

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--1:000000000000
+:ae3531aac588
+/* -*- 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.
+*
+*/
+///\ingroup graph_concepts
+///\file
+///\brief The concept of the graph components.
+#ifndef LEMON_CONCEPT_GRAPH_COMPONENTS_H
+#define LEMON_CONCEPT_GRAPH_COMPONENTS_H
+#include <lemon/bits/invalid.h>
+#include <lemon/concepts/maps.h>
+#include <lemon/bits/alteration_notifier.h>
+namespace lemon {
+namespace concepts {
+/// \brief Skeleton class for graph Node and Edge types
+///
+/// This class describes the interface of Node and Edge (and UEdge
+/// in undirected graphs) subtypes of graph types.
+///
+/// \note This class is a template class so that we can use it to
+/// create graph skeleton classes. The reason for this is than Node
+/// and Edge types should \em not derive from the same base class.
+/// For Node you should instantiate it with character 'n' and for Edge
+/// with 'e'.
+#ifndef DOXYGEN
+template <char _selector = '0'>
+#endif
+class GraphItem {
+public:
+/// \brief Default constructor.
+///
+/// \warning The default constructor is not required to set
+/// the item to some well-defined value. So you should consider it
+/// as uninitialized.
+GraphItem() {}
+/// \brief Copy constructor.
+///
+/// Copy constructor.
+///
+GraphItem(const GraphItem &) {}
+/// \brief Invalid constructor \& conversion.
+///
+/// This constructor initializes the item to be invalid.
+/// \sa Invalid for more details.
+GraphItem(Invalid) {}
+/// \brief Assign operator for nodes.
+///
+/// The nodes are assignable.
+///
+GraphItem& operator=(GraphItem const&) { return *this; }
+/// \brief Equality operator.
+///
+/// Two iterators are equal if and only if they represents the
+/// same node in the graph or both are invalid.
+bool operator==(GraphItem) const { return false; }
+/// \brief Inequality operator.
+///
+/// \sa operator==(const Node& n)
+///
+bool operator!=(GraphItem) const { return false; }
+/// \brief Artificial ordering operator.
+///
+/// To allow the use of graph descriptors as key type in std::map or
+/// similar associative container we require this.
+///
+/// \note This operator only have to define some strict ordering of
+/// the items; this order has nothing to do with the iteration
+/// ordering of the items.
+bool operator<(GraphItem) const { return false; }
+template<typename _GraphItem>
+struct Constraints {
+	void constraints() {
+	  _GraphItem i1;
+	  _GraphItem i2 = i1;
+	  _GraphItem i3 = INVALID;
+	  i1 = i2 = i3;
+	  bool b;
+	  //	  b = (ia == ib) && (ia != ib) && (ia < ib);
+	  b = (ia == ib) && (ia != ib);
+	  b = (ia == INVALID) && (ib != INVALID);
+b = (ia < ib);
+	}
+	const _GraphItem &ia;
+	const _GraphItem &ib;
+};
+};
+/// \brief An empty base graph class.
+///
+/// This class provides the minimal set of features needed for a graph
+/// structure. All graph concepts have to be conform to this base
+/// graph. It just provides types for nodes and edges and functions to
+/// get the source and the target of the edges.
+class BaseGraphComponent {
+public:
+typedef BaseGraphComponent Graph;
+/// \brief Node class of the graph.
+///
+/// This class represents the Nodes of the graph.
+///
+typedef GraphItem<'n'> Node;
+/// \brief Edge class of the graph.
+///
+/// This class represents the Edges of the graph.
+///
+typedef GraphItem<'e'> Edge;
+/// \brief Gives back the target node of an edge.
+///
+/// Gives back the target node of an edge.
+///
+Node target(const Edge&) const { return INVALID;}
+/// \brief Gives back the source node of an edge.
+///
+/// Gives back the source node of an edge.
+///
+Node source(const Edge&) const { return INVALID;}
+/// \brief Gives back the opposite node on the given edge.
+///
+/// Gives back the opposite node on the given edge.
+Node oppositeNode(const Node&, const Edge&) const {
+return INVALID;
+}
+template <typename _Graph>
+struct Constraints {
+	typedef typename _Graph::Node Node;
+	typedef typename _Graph::Edge Edge;
+	void constraints() {
+	  checkConcept<GraphItem<'n'>, Node>();
+	  checkConcept<GraphItem<'e'>, Edge>();
+	  {
+	    Node n;
+	    Edge e(INVALID);
+	    n = graph.source(e);
+	    n = graph.target(e);
+n = graph.oppositeNode(n, e);
+	  }
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty base undirected graph class.
+///
+/// This class provides the minimal set of features needed for an
+/// undirected graph structure. All undirected graph concepts have
+/// to be conform to this base graph. It just provides types for
+/// nodes, edges and undirected edges and functions to get the
+/// source and the target of the edges and undirected edges,
+/// conversion from edges to undirected edges and function to get
+/// both direction of the undirected edges.
+class BaseUGraphComponent : public BaseGraphComponent {
+public:
+typedef BaseGraphComponent::Node Node;
+typedef BaseGraphComponent::Edge Edge;
+/// \brief Undirected edge class of the graph.
+///
+/// This class represents the undirected edges of the graph.
+/// The undirected graphs can be used as a directed graph which
+/// for each edge contains the opposite edge too so the graph is
+/// bidirected. The undirected edge represents two opposite
+/// directed edges.
+class UEdge : public GraphItem<'u'> {
+public:
+typedef GraphItem<'u'> Parent;
+/// \brief Default constructor.
+///
+/// \warning The default constructor is not required to set
+/// the item to some well-defined value. So you should consider it
+/// as uninitialized.
+UEdge() {}
+/// \brief Copy constructor.
+///
+/// Copy constructor.
+///
+UEdge(const UEdge &) : Parent() {}
+/// \brief Invalid constructor \& conversion.
+///
+/// This constructor initializes the item to be invalid.
+/// \sa Invalid for more details.
+UEdge(Invalid) {}
+/// \brief Converter from edge to undirected edge.
+///
+/// Besides the core graph item functionality each edge should
+/// be convertible to the represented undirected edge.
+UEdge(const Edge&) {}
+/// \brief Assign edge to undirected edge.
+///
+/// Besides the core graph item functionality each edge should
+/// be convertible to the represented undirected edge.
+UEdge& operator=(const Edge&) { return *this; }
+};
+/// \brief Returns the direction of the edge.
+///
+/// Returns the direction of the edge. Each edge represents an
+/// undirected edge with a direction. It gives back the
+/// direction.
+bool direction(const Edge&) const { return true; }
+/// \brief Returns the directed edge.
+///
+/// Returns the directed edge from its direction and the
+/// represented undirected edge.
+Edge direct(const UEdge&, bool) const { return INVALID;}
+/// \brief Returns the directed edge.
+///
+/// Returns the directed edge from its source and the
+/// represented undirected edge.
+Edge direct(const UEdge&, const Node&) const { return INVALID;}
+/// \brief Returns the opposite edge.
+///
+/// Returns the opposite edge. It is the edge representing the
+/// same undirected edge and has opposite direction.
+Edge oppositeEdge(const Edge&) const { return INVALID;}
+/// \brief Gives back the target node of an undirected edge.
+///
+/// Gives back the target node of an undirected edge. The name
+/// target is a little confusing because the undirected edge
+/// does not have target but it just means that one of the end
+/// node.
+Node target(const UEdge&) const { return INVALID;}
+/// \brief Gives back the source node of an undirected edge.
+///
+/// Gives back the source node of an undirected edge. The name
+/// source is a little confusing because the undirected edge
+/// does not have source but it just means that one of the end
+/// node.
+Node source(const UEdge&) const { return INVALID;}
+template <typename _Graph>
+struct Constraints {
+	typedef typename _Graph::Node Node;
+	typedef typename _Graph::Edge Edge;
+	typedef typename _Graph::UEdge UEdge;
+	void constraints() {
+checkConcept<BaseGraphComponent, _Graph>();
+	  checkConcept<GraphItem<'u'>, UEdge>();
+	  {
+	    Node n;
+	    UEdge ue(INVALID);
+Edge e;
+	    n = graph.source(ue);
+	    n = graph.target(ue);
+e = graph.direct(ue, true);
+e = graph.direct(ue, n);
+e = graph.oppositeEdge(e);
+ue = e;
+bool d = graph.direction(e);
+ignore_unused_variable_warning(d);
+	  }
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty base bipartite undirected graph class.
+///
+/// This class provides the minimal set of features needed for an
+/// bipartite undirected graph structure. All bipartite undirected
+/// graph concepts have to be conform to this base graph. It just
+/// provides types for nodes, A-nodes, B-nodes, edges and
+/// undirected edges and functions to get the source and the
+/// target of the edges and undirected edges, conversion from
+/// edges to undirected edges and function to get both direction
+/// of the undirected edges.
+class BaseBpUGraphComponent : public BaseUGraphComponent {
+public:
+typedef BaseUGraphComponent::Node Node;
+typedef BaseUGraphComponent::Edge Edge;
+typedef BaseUGraphComponent::UEdge UEdge;
+/// \brief Helper class for A-nodes.
+///
+/// This class is just a helper class for A-nodes, it is not
+/// suggested to use it directly. It can be converted easily to
+/// node and vice versa. The usage of this class is limited
+/// to use just as template parameters for special map types.
+class ANode : public Node {
+public:
+typedef Node Parent;
+/// \brief Default constructor.
+///
+/// \warning The default constructor is not required to set
+/// the item to some well-defined value. So you should consider it
+/// as uninitialized.
+ANode() {}
+/// \brief Copy constructor.
+///
+/// Copy constructor.
+///
+ANode(const ANode &) : Parent() {}
+/// \brief Invalid constructor \& conversion.
+///
+/// This constructor initializes the item to be invalid.
+/// \sa Invalid for more details.
+ANode(Invalid) {}
+/// \brief Converter from node to A-node.
+///
+/// Besides the core graph item functionality each node should
+/// be convertible to the represented A-node if it is it possible.
+ANode(const Node&) {}
+/// \brief Assign node to A-node.
+///
+/// Besides the core graph item functionality each node should
+/// be convertible to the represented A-node if it is it possible.
+ANode& operator=(const Node&) { return *this; }
+};
+/// \brief Helper class for B-nodes.
+///
+/// This class is just a helper class for B-nodes, it is not
+/// suggested to use it directly. It can be converted easily to
+/// node and vice versa. The usage of this class is limited
+/// to use just as template parameters for special map types.
+class BNode : public Node {
+public:
+typedef Node Parent;
+/// \brief Default constructor.
+///
+/// \warning The default constructor is not required to set
+/// the item to some well-defined value. So you should consider it
+/// as uninitialized.
+BNode() {}
+/// \brief Copy constructor.
+///
+/// Copy constructor.
+///
+BNode(const BNode &) : Parent() {}
+/// \brief Invalid constructor \& conversion.
+///
+/// This constructor initializes the item to be invalid.
+/// \sa Invalid for more details.
+BNode(Invalid) {}
+/// \brief Converter from node to B-node.
+///
+/// Besides the core graph item functionality each node should
+/// be convertible to the represented B-node if it is it possible.
+BNode(const Node&) {}
+/// \brief Assign node to B-node.
+///
+/// Besides the core graph item functionality each node should
+/// be convertible to the represented B-node if it is it possible.
+BNode& operator=(const Node&) { return *this; }
+};
+/// \brief Gives back %true when the node is A-node.
+///
+/// Gives back %true when the node is A-node.
+bool aNode(const Node&) const { return false; }
+/// \brief Gives back %true when the node is B-node.
+///
+/// Gives back %true when the node is B-node.
+bool bNode(const Node&) const { return false; }
+/// \brief Gives back the A-node of the undirected edge.
+///
+/// Gives back the A-node of the undirected edge.
+Node aNode(const UEdge&) const { return INVALID; }
+/// \brief Gives back the B-node of the undirected edge.
+///
+/// Gives back the B-node of the undirected edge.
+Node bNode(const UEdge&) const { return INVALID; }
+template <typename _Graph>
+struct Constraints {
+	typedef typename _Graph::Node Node;
+	typedef typename _Graph::ANode ANode;
+	typedef typename _Graph::BNode BNode;
+	typedef typename _Graph::Edge Edge;
+	typedef typename _Graph::UEdge UEdge;
+	void constraints() {
+checkConcept<BaseUGraphComponent, _Graph>();
+	  checkConcept<GraphItem<'a'>, ANode>();
+	  checkConcept<GraphItem<'b'>, BNode>();
+	  {
+	    Node n;
+	    UEdge ue(INVALID);
+bool b;
+	    n = graph.aNode(ue);
+	    n = graph.bNode(ue);
+b = graph.aNode(n);
+b = graph.bNode(n);
+ANode an;
+an = n; n = an;
+BNode bn;
+bn = n; n = bn;
+ignore_unused_variable_warning(b);
+	  }
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty idable base graph class.
+///
+/// This class provides beside the core graph features
+/// core id functions for the graph structure.
+/// The most of the base graphs should be conform to this concept.
+/// The id's are unique and immutable.
+template <typename _Base = BaseGraphComponent>
+class IDableGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::Edge Edge;
+/// \brief Gives back an unique integer id for the Node.
+///
+/// Gives back an unique integer id for the Node.
+///
+int id(const Node&) const { return -1;}
+/// \brief Gives back the node by the unique id.
+///
+/// Gives back the node by the unique id.
+/// If the graph does not contain node with the given id
+/// then the result of the function is undetermined.
+Node nodeFromId(int) const { return INVALID;}
+/// \brief Gives back an unique integer id for the Edge.
+///
+/// Gives back an unique integer id for the Edge.
+///
+int id(const Edge&) const { return -1;}
+/// \brief Gives back the edge by the unique id.
+///
+/// Gives back the edge by the unique id.
+/// If the graph does not contain edge with the given id
+/// then the result of the function is undetermined.
+Edge edgeFromId(int) const { return INVALID;}
+/// \brief Gives back an integer greater or equal to the maximum
+/// Node id.
+///
+/// Gives back an integer greater or equal to the maximum Node
+/// id.
+int maxNodeId() const { return -1;}
+/// \brief Gives back an integer greater or equal to the maximum
+/// Edge id.
+///
+/// Gives back an integer greater or equal to the maximum Edge
+/// id.
+int maxEdgeId() const { return -1;}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<Base, _Graph >();
+	  typename _Graph::Node node;
+	  int nid = graph.id(node);
+	  nid = graph.id(node);
+	  node = graph.nodeFromId(nid);
+	  typename _Graph::Edge edge;
+	  int eid = graph.id(edge);
+	  eid = graph.id(edge);
+	  edge = graph.edgeFromId(eid);
+	  nid = graph.maxNodeId();
+	  ignore_unused_variable_warning(nid);
+	  eid = graph.maxEdgeId();
+	  ignore_unused_variable_warning(eid);
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty idable base undirected graph class.
+///
+/// This class provides beside the core undirected graph features
+/// core id functions for the undirected graph structure.  The
+/// most of the base undirected graphs should be conform to this
+/// concept.  The id's are unique and immutable.
+template <typename _Base = BaseUGraphComponent>
+class IDableUGraphComponent : public IDableGraphComponent<_Base> {
+public:
+typedef _Base Base;
+typedef typename Base::UEdge UEdge;
+using IDableGraphComponent<_Base>::id;
+/// \brief Gives back an unique integer id for the UEdge.
+///
+/// Gives back an unique integer id for the UEdge.
+///
+int id(const UEdge&) const { return -1;}
+/// \brief Gives back the undirected edge by the unique id.
+///
+/// Gives back the undirected edge by the unique id.  If the
+/// graph does not contain edge with the given id then the
+/// result of the function is undetermined.
+UEdge uEdgeFromId(int) const { return INVALID;}
+/// \brief Gives back an integer greater or equal to the maximum
+/// UEdge id.
+///
+/// Gives back an integer greater or equal to the maximum UEdge
+/// id.
+int maxUEdgeId() const { return -1;}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<Base, _Graph >();
+	  checkConcept<IDableGraphComponent<Base>, _Graph >();
+	  typename _Graph::UEdge uedge;
+	  int ueid = graph.id(uedge);
+	  ueid = graph.id(uedge);
+	  uedge = graph.uEdgeFromId(ueid);
+	  ueid = graph.maxUEdgeId();
+	  ignore_unused_variable_warning(ueid);
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty idable base bipartite undirected graph class.
+///
+/// This class provides beside the core bipartite undirected graph
+/// features core id functions for the bipartite undirected graph
+/// structure.  The most of the base undirected graphs should be
+/// conform to this concept.
+template <typename _Base = BaseBpUGraphComponent>
+class IDableBpUGraphComponent : public IDableUGraphComponent<_Base> {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+using IDableUGraphComponent<_Base>::id;
+/// \brief Gives back an unique integer id for the ANode.
+///
+/// Gives back an unique integer id for the ANode.
+///
+int aNodeId(const Node&) const { return -1;}
+/// \brief Gives back the undirected edge by the unique id.
+///
+/// Gives back the undirected edge by the unique id.  If the
+/// graph does not contain edge with the given id then the
+/// result of the function is undetermined.
+Node nodeFromANodeId(int) const { return INVALID;}
+/// \brief Gives back an integer greater or equal to the maximum
+/// ANode id.
+///
+/// Gives back an integer greater or equal to the maximum ANode
+/// id.
+int maxANodeId() const { return -1;}
+/// \brief Gives back an unique integer id for the BNode.
+///
+/// Gives back an unique integer id for the BNode.
+///
+int bNodeId(const Node&) const { return -1;}
+/// \brief Gives back the undirected edge by the unique id.
+///
+/// Gives back the undirected edge by the unique id.  If the
+/// graph does not contain edge with the given id then the
+/// result of the function is undetermined.
+Node nodeFromBNodeId(int) const { return INVALID;}
+/// \brief Gives back an integer greater or equal to the maximum
+/// BNode id.
+///
+/// Gives back an integer greater or equal to the maximum BNode
+/// id.
+int maxBNodeId() const { return -1;}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<Base, _Graph >();
+	  checkConcept<IDableGraphComponent<Base>, _Graph >();
+	  typename _Graph::Node node(INVALID);
+	  int id;
+id = graph.aNodeId(node);
+id = graph.bNodeId(node);
+node = graph.nodeFromANodeId(id);
+node = graph.nodeFromBNodeId(id);
+id = graph.maxANodeId();
+id = graph.maxBNodeId();
+	}
+	const _Graph& graph;
+};
+};
+/// \brief Skeleton class for graph NodeIt and EdgeIt
+///
+/// Skeleton class for graph NodeIt and EdgeIt.
+///
+template <typename _Graph, typename _Item>
+class GraphItemIt : public _Item {
+public:
+/// \brief Default constructor.
+///
+/// @warning The default constructor sets the iterator
+/// to an undefined value.
+GraphItemIt() {}
+/// \brief Copy constructor.
+///
+/// Copy constructor.
+///
+GraphItemIt(const GraphItemIt& ) {}
+/// \brief Sets the iterator to the first item.
+///
+/// Sets the iterator to the first item of \c the graph.
+///
+explicit GraphItemIt(const _Graph&) {}
+/// \brief Invalid constructor \& conversion.
+///
+/// This constructor initializes the item to be invalid.
+/// \sa Invalid for more details.
+GraphItemIt(Invalid) {}
+/// \brief Assign operator for items.
+///
+/// The items are assignable.
+///
+GraphItemIt& operator=(const GraphItemIt&) { return *this; }
+/// \brief Next item.
+///
+/// Assign the iterator to the next item.
+///
+GraphItemIt& operator++() { return *this; }
+/// \brief Equality operator
+///
+/// Two iterators are equal if and only if they point to the
+/// same object or both are invalid.
+bool operator==(const GraphItemIt&) const { return true;}
+/// \brief Inequality operator
+///
+/// \sa operator==(Node n)
+///
+bool operator!=(const GraphItemIt&) const { return true;}
+template<typename _GraphItemIt>
+struct Constraints {
+	void constraints() {
+	  _GraphItemIt it1(g);
+	  _GraphItemIt it2;
+	  it2 = ++it1;
+	  ++it2 = it1;
+	  ++(++it1);
+	  _Item bi = it1;
+	  bi = it2;
+	}
+	_Graph& g;
+};
+};
+/// \brief Skeleton class for graph InEdgeIt and OutEdgeIt
+///
+/// \note Because InEdgeIt and OutEdgeIt may not inherit from the same
+/// base class, the _selector is a additional template parameter. For
+/// InEdgeIt you should instantiate it with character 'i' and for
+/// OutEdgeIt with 'o'.
+template <typename _Graph,
+	      typename _Item = typename _Graph::Edge,
+typename _Base = typename _Graph::Node,
+	      char _selector = '0'>
+class GraphIncIt : public _Item {
+public:
+/// \brief Default constructor.
+///
+/// @warning The default constructor sets the iterator
+/// to an undefined value.
+GraphIncIt() {}
+/// \brief Copy constructor.
+///
+/// Copy constructor.
+///
+GraphIncIt(GraphIncIt const& gi) : _Item(gi) {}
+/// \brief Sets the iterator to the first edge incoming into or outgoing
+/// from the node.
+///
+/// Sets the iterator to the first edge incoming into or outgoing
+/// from the node.
+///
+explicit GraphIncIt(const _Graph&, const _Base&) {}
+/// \brief Invalid constructor \& conversion.
+///
+/// This constructor initializes the item to be invalid.
+/// \sa Invalid for more details.
+GraphIncIt(Invalid) {}
+/// \brief Assign operator for iterators.
+///
+/// The iterators are assignable.
+///
+GraphIncIt& operator=(GraphIncIt const&) { return *this; }
+/// \brief Next item.
+///
+/// Assign the iterator to the next item.
+///
+GraphIncIt& operator++() { return *this; }
+/// \brief Equality operator
+///
+/// Two iterators are equal if and only if they point to the
+/// same object or both are invalid.
+bool operator==(const GraphIncIt&) const { return true;}
+/// \brief Inequality operator
+///
+/// \sa operator==(Node n)
+///
+bool operator!=(const GraphIncIt&) const { return true;}
+template <typename _GraphIncIt>
+struct Constraints {
+	void constraints() {
+	  checkConcept<GraphItem<_selector>, _GraphIncIt>();
+	  _GraphIncIt it1(graph, node);
+	  _GraphIncIt it2;
+	  it2 = ++it1;
+	  ++it2 = it1;
+	  ++(++it1);
+	  _Item e = it1;
+	  e = it2;
+	}
+	_Item edge;
+	_Base node;
+	_Graph graph;
+	_GraphIncIt it;
+};
+};
+/// \brief An empty iterable graph class.
+///
+/// This class provides beside the core graph features
+/// iterator based iterable interface for the graph structure.
+/// This concept is part of the Graph concept.
+template <typename _Base = BaseGraphComponent>
+class IterableGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::Edge Edge;
+typedef IterableGraphComponent Graph;
+/// \name Base iteration
+///
+/// This interface provides functions for iteration on graph items
+///
+/// @{
+/// \brief Gives back the first node in the iterating order.
+///
+/// Gives back the first node in the iterating order.
+///
+void first(Node&) const {}
+/// \brief Gives back the next node in the iterating order.
+///
+/// Gives back the next node in the iterating order.
+///
+void next(Node&) const {}
+/// \brief Gives back the first edge in the iterating order.
+///
+/// Gives back the first edge in the iterating order.
+///
+void first(Edge&) const {}
+/// \brief Gives back the next edge in the iterating order.
+///
+/// Gives back the next edge in the iterating order.
+///
+void next(Edge&) const {}
+/// \brief Gives back the first of the edges point to the given
+/// node.
+///
+/// Gives back the first of the edges point to the given node.
+///
+void firstIn(Edge&, const Node&) const {}
+/// \brief Gives back the next of the edges points to the given
+/// node.
+///
+/// Gives back the next of the edges points to the given node.
+///
+void nextIn(Edge&) const {}
+/// \brief Gives back the first of the edges start from the
+/// given node.
+///
+/// Gives back the first of the edges start from the given node.
+///
+void firstOut(Edge&, const Node&) const {}
+/// \brief Gives back the next of the edges start from the given
+/// node.
+///
+/// Gives back the next of the edges start from the given node.
+///
+void nextOut(Edge&) const {}
+/// @}
+/// \name Class based iteration
+///
+/// This interface provides functions for iteration on graph items
+///
+/// @{
+/// \brief This iterator goes through each node.
+///
+/// This iterator goes through each node.
+///
+typedef GraphItemIt<Graph, Node> NodeIt;
+/// \brief This iterator goes through each node.
+///
+/// This iterator goes through each node.
+///
+typedef GraphItemIt<Graph, Edge> EdgeIt;
+/// \brief This iterator goes trough the incoming edges of a node.
+///
+/// This iterator goes trough the \e inccoming edges of a certain node
+/// of a graph.
+typedef GraphIncIt<Graph, Edge, Node, 'i'> InEdgeIt;
+/// \brief This iterator goes trough the outgoing edges of a node.
+///
+/// This iterator goes trough the \e outgoing edges of a certain node
+/// of a graph.
+typedef GraphIncIt<Graph, Edge, Node, 'o'> OutEdgeIt;
+/// \brief The base node of the iterator.
+///
+/// Gives back the base node of the iterator.
+/// It is always the target of the pointed edge.
+Node baseNode(const InEdgeIt&) const { return INVALID; }
+/// \brief The running node of the iterator.
+///
+/// Gives back the running node of the iterator.
+/// It is always the source of the pointed edge.
+Node runningNode(const InEdgeIt&) const { return INVALID; }
+/// \brief The base node of the iterator.
+///
+/// Gives back the base node of the iterator.
+/// It is always the source of the pointed edge.
+Node baseNode(const OutEdgeIt&) const { return INVALID; }
+/// \brief The running node of the iterator.
+///
+/// Gives back the running node of the iterator.
+/// It is always the target of the pointed edge.
+Node runningNode(const OutEdgeIt&) const { return INVALID; }
+/// @}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<Base, _Graph>();
+{
+typename _Graph::Node node(INVALID);
+typename _Graph::Edge edge(INVALID);
+{
+graph.first(node);
+graph.next(node);
+}
+{
+graph.first(edge);
+graph.next(edge);
+}
+{
+graph.firstIn(edge, node);
+graph.nextIn(edge);
+}
+{
+graph.firstOut(edge, node);
+graph.nextOut(edge);
+}
+}
+{
+checkConcept<GraphItemIt<_Graph, typename _Graph::Edge>,
+typename _Graph::EdgeIt >();
+checkConcept<GraphItemIt<_Graph, typename _Graph::Node>,
+typename _Graph::NodeIt >();
+checkConcept<GraphIncIt<_Graph, typename _Graph::Edge,
+typename _Graph::Node, 'i'>, typename _Graph::InEdgeIt>();
+checkConcept<GraphIncIt<_Graph, typename _Graph::Edge,
+typename _Graph::Node, 'o'>, typename _Graph::OutEdgeIt>();
+typename _Graph::Node n;
+typename _Graph::InEdgeIt ieit(INVALID);
+typename _Graph::OutEdgeIt oeit(INVALID);
+n = graph.baseNode(ieit);
+n = graph.runningNode(ieit);
+n = graph.baseNode(oeit);
+n = graph.runningNode(oeit);
+ignore_unused_variable_warning(n);
+}
+}
+	const _Graph& graph;
+};
+};
+/// \brief An empty iterable undirected graph class.
+///
+/// This class provides beside the core graph features iterator
+/// based iterable interface for the undirected graph structure.
+/// This concept is part of the UGraph concept.
+template <typename _Base = BaseUGraphComponent>
+class IterableUGraphComponent : public IterableGraphComponent<_Base> {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::Edge Edge;
+typedef typename Base::UEdge UEdge;
+typedef IterableUGraphComponent Graph;
+/// \name Base iteration
+///
+/// This interface provides functions for iteration on graph items
+/// @{
+using IterableGraphComponent<_Base>::first;
+using IterableGraphComponent<_Base>::next;
+/// \brief Gives back the first undirected edge in the iterating
+/// order.
+///
+/// Gives back the first undirected edge in the iterating order.
+///
+void first(UEdge&) const {}
+/// \brief Gives back the next undirected edge in the iterating
+/// order.
+///
+/// Gives back the next undirected edge in the iterating order.
+///
+void next(UEdge&) const {}
+/// \brief Gives back the first of the undirected edges from the
+/// given node.
+///
+/// Gives back the first of the undirected edges from the given
+/// node. The bool parameter gives back that direction which
+/// gives a good direction of the uedge so the source of the
+/// directed edge is the given node.
+void firstInc(UEdge&, bool&, const Node&) const {}
+/// \brief Gives back the next of the undirected edges from the
+/// given node.
+///
+/// Gives back the next of the undirected edges from the given
+/// node. The bool parameter should be used as the \c firstInc()
+/// use it.
+void nextInc(UEdge&, bool&) const {}
+using IterableGraphComponent<_Base>::baseNode;
+using IterableGraphComponent<_Base>::runningNode;
+/// @}
+/// \name Class based iteration
+///
+/// This interface provides functions for iteration on graph items
+///
+/// @{
+/// \brief This iterator goes through each node.
+///
+/// This iterator goes through each node.
+typedef GraphItemIt<Graph, UEdge> UEdgeIt;
+/// \brief This iterator goes trough the incident edges of a
+/// node.
+///
+/// This iterator goes trough the incident edges of a certain
+/// node of a graph.
+typedef GraphIncIt<Graph, UEdge, Node, 'u'> IncEdgeIt;
+/// \brief The base node of the iterator.
+///
+/// Gives back the base node of the iterator.
+Node baseNode(const IncEdgeIt&) const { return INVALID; }
+/// \brief The running node of the iterator.
+///
+/// Gives back the running node of the iterator.
+Node runningNode(const IncEdgeIt&) const { return INVALID; }
+/// @}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<IterableGraphComponent<Base>, _Graph>();
+{
+typename _Graph::Node node(INVALID);
+typename _Graph::UEdge uedge(INVALID);
+bool dir;
+{
+graph.first(uedge);
+graph.next(uedge);
+}
+{
+graph.firstInc(uedge, dir, node);
+graph.nextInc(uedge, dir);
+}
+}
+{
+checkConcept<GraphItemIt<_Graph, typename _Graph::UEdge>,
+typename _Graph::UEdgeIt >();
+checkConcept<GraphIncIt<_Graph, typename _Graph::UEdge,
+typename _Graph::Node, 'u'>, typename _Graph::IncEdgeIt>();
+typename _Graph::Node n;
+typename _Graph::IncEdgeIt ueit(INVALID);
+n = graph.baseNode(ueit);
+n = graph.runningNode(ueit);
+}
+}
+	const _Graph& graph;
+};
+};
+/// \brief An empty iterable bipartite undirected graph class.
+///
+/// This class provides beside the core graph features iterator
+/// based iterable interface for the bipartite undirected graph
+/// structure. This concept is part of the BpUGraph concept.
+template <typename _Base = BaseUGraphComponent>
+class IterableBpUGraphComponent : public IterableUGraphComponent<_Base> {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::UEdge UEdge;
+typedef IterableBpUGraphComponent Graph;
+/// \name Base iteration
+///
+/// This interface provides functions for iteration on graph items
+/// @{
+using IterableUGraphComponent<_Base>::first;
+using IterableUGraphComponent<_Base>::next;
+/// \brief Gives back the first A-node in the iterating order.
+///
+/// Gives back the first undirected A-node in the iterating
+/// order.
+///
+void firstANode(Node&) const {}
+/// \brief Gives back the next A-node in the iterating order.
+///
+/// Gives back the next A-node in the iterating order.
+///
+void nextANode(Node&) const {}
+/// \brief Gives back the first B-node in the iterating order.
+///
+/// Gives back the first undirected B-node in the iterating
+/// order.
+///
+void firstBNode(Node&) const {}
+/// \brief Gives back the next B-node in the iterating order.
+///
+/// Gives back the next B-node in the iterating order.
+///
+void nextBNode(Node&) const {}
+/// \brief Gives back the first of the undirected edges start
+/// from the given A-node.
+///
+/// Gives back the first of the undirected edges start from the
+/// given A-node.
+void firstFromANode(UEdge&, const Node&) const {}
+/// \brief Gives back the next of the undirected edges start
+/// from the given A-node.
+///
+/// Gives back the next of the undirected edges start from the
+/// given A-node.
+void nextFromANode(UEdge&) const {}
+/// \brief Gives back the first of the undirected edges start
+/// from the given B-node.
+///
+/// Gives back the first of the undirected edges start from the
+/// given B-node.
+void firstFromBNode(UEdge&, const Node&) const {}
+/// \brief Gives back the next of the undirected edges start
+/// from the given B-node.
+///
+/// Gives back the next of the undirected edges start from the
+/// given B-node.
+void nextFromBNode(UEdge&) const {}
+/// @}
+/// \name Class based iteration
+///
+/// This interface provides functions for iteration on graph items
+///
+/// @{
+/// \brief This iterator goes through each A-node.
+///
+/// This iterator goes through each A-node.
+typedef GraphItemIt<Graph, Node> ANodeIt;
+/// \brief This iterator goes through each B-node.
+///
+/// This iterator goes through each B-node.
+typedef GraphItemIt<Graph, Node> BNodeIt;
+/// @}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<IterableUGraphComponent<Base>, _Graph>();
+{
+typename _Graph::Node node(INVALID);
+typename _Graph::UEdge uedge(INVALID);
+graph.firstANode(node);
+graph.nextANode(node);
+graph.firstBNode(node);
+graph.nextBNode(node);
+graph.firstFromANode(uedge, node);
+graph.nextFromANode(uedge);
+graph.firstFromBNode(uedge, node);
+graph.nextFromBNode(uedge);
+}
+{
+checkConcept<GraphItemIt<_Graph, typename _Graph::Node>,
+typename _Graph::ANodeIt >();
+checkConcept<GraphItemIt<_Graph, typename _Graph::Node>,
+typename _Graph::BNodeIt >();
+}
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty alteration notifier graph class.
+///
+/// This class provides beside the core graph features alteration
+/// notifier interface for the graph structure.  This implements
+/// an observer-notifier pattern for each graph item. More
+/// obsevers can be registered into the notifier and whenever an
+/// alteration occured in the graph all the observers will
+/// notified about it.
+template <typename _Base = BaseGraphComponent>
+class AlterableGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::Edge Edge;
+/// The node observer registry.
+typedef AlterationNotifier<AlterableGraphComponent, Node>
+NodeNotifier;
+/// The edge observer registry.
+typedef AlterationNotifier<AlterableGraphComponent, Edge>
+EdgeNotifier;
+/// \brief Gives back the node alteration notifier.
+///
+/// Gives back the node alteration notifier.
+NodeNotifier& getNotifier(Node) const {
+	return NodeNotifier();
+}
+/// \brief Gives back the edge alteration notifier.
+///
+/// Gives back the edge alteration notifier.
+EdgeNotifier& getNotifier(Edge) const {
+	return EdgeNotifier();
+}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<Base, _Graph>();
+typename _Graph::NodeNotifier& nn
+= graph.getNotifier(typename _Graph::Node());
+typename _Graph::EdgeNotifier& en
+= graph.getNotifier(typename _Graph::Edge());
+ignore_unused_variable_warning(nn);
+ignore_unused_variable_warning(en);
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty alteration notifier undirected graph class.
+///
+/// This class provides beside the core graph features alteration
+/// notifier interface for the graph structure.  This implements
+/// an observer-notifier pattern for each graph item. More
+/// obsevers can be registered into the notifier and whenever an
+/// alteration occured in the graph all the observers will
+/// notified about it.
+template <typename _Base = BaseUGraphComponent>
+class AlterableUGraphComponent : public AlterableGraphComponent<_Base> {
+public:
+typedef _Base Base;
+typedef typename Base::UEdge UEdge;
+/// The edge observer registry.
+typedef AlterationNotifier<AlterableUGraphComponent, UEdge>
+UEdgeNotifier;
+/// \brief Gives back the edge alteration notifier.
+///
+/// Gives back the edge alteration notifier.
+UEdgeNotifier& getNotifier(UEdge) const {
+	return UEdgeNotifier();
+}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<AlterableGraphComponent<Base>, _Graph>();
+typename _Graph::UEdgeNotifier& uen
+= graph.getNotifier(typename _Graph::UEdge());
+ignore_unused_variable_warning(uen);
+	}
+	const _Graph& graph;
+};
+};
+/// \brief An empty alteration notifier bipartite undirected graph
+/// class.
+///
+/// This class provides beside the core graph features alteration
+/// notifier interface for the graph structure.  This implements
+/// an observer-notifier pattern for each graph item. More
+/// obsevers can be registered into the notifier and whenever an
+/// alteration occured in the graph all the observers will
+/// notified about it.
+template <typename _Base = BaseUGraphComponent>
+class AlterableBpUGraphComponent : public AlterableUGraphComponent<_Base> {
+public:
+typedef _Base Base;
+typedef typename Base::ANode ANode;
+typedef typename Base::BNode BNode;
+/// The A-node observer registry.
+typedef AlterationNotifier<AlterableBpUGraphComponent, ANode>
+ANodeNotifier;
+/// The B-node observer registry.
+typedef AlterationNotifier<AlterableBpUGraphComponent, BNode>
+BNodeNotifier;
+/// \brief Gives back the A-node alteration notifier.
+///
+/// Gives back the A-node alteration notifier.
+ANodeNotifier& getNotifier(ANode) const {
+	return ANodeNotifier();
+}
+/// \brief Gives back the B-node alteration notifier.
+///
+/// Gives back the B-node alteration notifier.
+BNodeNotifier& getNotifier(BNode) const {
+	return BNodeNotifier();
+}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<AlterableUGraphComponent<Base>, _Graph>();
+typename _Graph::ANodeNotifier& ann
+= graph.getNotifier(typename _Graph::ANode());
+typename _Graph::BNodeNotifier& bnn
+= graph.getNotifier(typename _Graph::BNode());
+ignore_unused_variable_warning(ann);
+ignore_unused_variable_warning(bnn);
+	}
+	const _Graph& graph;
+};
+};
+/// \brief Class describing the concept of graph maps
+///
+/// This class describes the common interface of the graph maps
+/// (NodeMap, EdgeMap), that is \ref maps-page "maps" which can be used to
+/// associate data to graph descriptors (nodes or edges).
+template <typename _Graph, typename _Item, typename _Value>
+class GraphMap : public ReadWriteMap<_Item, _Value> {
+public:
+typedef ReadWriteMap<_Item, _Value> Parent;
+/// The graph type of the map.
+typedef _Graph Graph;
+/// The key type of the map.
+typedef _Item Key;
+/// The value type of the map.
+typedef _Value Value;
+/// \brief Construct a new map.
+///
+/// Construct a new map for the graph.
+explicit GraphMap(const Graph&) {}
+/// \brief Construct a new map with default value.
+///
+/// Construct a new map for the graph and initalise the values.
+GraphMap(const Graph&, const Value&) {}
+/// \brief Copy constructor.
+///
+/// Copy Constructor.
+GraphMap(const GraphMap&) : Parent() {}
+/// \brief Assign operator.
+///
+/// Assign operator. It does not mofify the underlying graph,
+/// it just iterates on the current item set and set the  map
+/// with the value returned by the assigned map.
+template <typename CMap>
+GraphMap& operator=(const CMap&) {
+checkConcept<ReadMap<Key, Value>, CMap>();
+return *this;
+}
+template<typename _Map>
+struct Constraints {
+	void constraints() {
+	  checkConcept<ReadWriteMap<Key, Value>, _Map >();
+	  // Construction with a graph parameter
+	  _Map a(g);
+	  // Constructor with a graph and a default value parameter
+	  _Map a2(g,t);
+	  // Copy constructor.
+	  _Map b(c);
+ReadMap<Key, Value> cmap;
+b = cmap;
+	  ignore_unused_variable_warning(a2);
+	  ignore_unused_variable_warning(b);
+	}
+	const _Map &c;
+	const Graph &g;
+	const typename GraphMap::Value &t;
+};
+};
+/// \brief An empty mappable graph class.
+///
+/// This class provides beside the core graph features
+/// map interface for the graph structure.
+/// This concept is part of the Graph concept.
+template <typename _Base = BaseGraphComponent>
+class MappableGraphComponent : public _Base  {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::Edge Edge;
+typedef MappableGraphComponent Graph;
+/// \brief ReadWrite map of the nodes.
+///
+/// ReadWrite map of the nodes.
+///
+template <typename _Value>
+class NodeMap : public GraphMap<Graph, Node, _Value> {
+private:
+	NodeMap();
+public:
+typedef GraphMap<MappableGraphComponent, Node, _Value> Parent;
+	/// \brief Construct a new map.
+	///
+	/// Construct a new map for the graph.
+	/// \todo call the right parent class constructor
+	explicit NodeMap(const MappableGraphComponent& graph)
+: Parent(graph) {}
+	/// \brief Construct a new map with default value.
+	///
+	/// Construct a new map for the graph and initalise the values.
+	NodeMap(const MappableGraphComponent& graph, const _Value& value)
+: Parent(graph, value) {}
+	/// \brief Copy constructor.
+	///
+	/// Copy Constructor.
+	NodeMap(const NodeMap& nm) : Parent(nm) {}
+	/// \brief Assign operator.
+	///
+	/// Assign operator.
+template <typename CMap>
+NodeMap& operator=(const CMap&) {
+checkConcept<ReadMap<Node, _Value>, CMap>();
+return *this;
+}
+};
+/// \brief ReadWrite map of the edges.
+///
+/// ReadWrite map of the edges.
+///
+template <typename _Value>
+class EdgeMap : public GraphMap<Graph, Edge, _Value> {
+private:
+	EdgeMap();
+public:
+typedef GraphMap<MappableGraphComponent, Edge, _Value> Parent;
+	/// \brief Construct a new map.
+	///
+	/// Construct a new map for the graph.
+	/// \todo call the right parent class constructor
+	explicit EdgeMap(const MappableGraphComponent& graph)
+: Parent(graph) {}
+	/// \brief Construct a new map with default value.
+	///
+	/// Construct a new map for the graph and initalise the values.
+	EdgeMap(const MappableGraphComponent& graph, const _Value& value)
+: Parent(graph, value) {}
+	/// \brief Copy constructor.
+	///
+	/// Copy Constructor.
+	EdgeMap(const EdgeMap& nm) : Parent(nm) {}
+	/// \brief Assign operator.
+	///
+	/// Assign operator.
+template <typename CMap>
+EdgeMap& operator=(const CMap&) {
+checkConcept<ReadMap<Edge, _Value>, CMap>();
+return *this;
+}
+};
+template <typename _Graph>
+struct Constraints {
+	struct Dummy {
+	  int value;
+	  Dummy() : value(0) {}
+	  Dummy(int _v) : value(_v) {}
+	};
+	void constraints() {
+	  checkConcept<Base, _Graph>();
+	  { // int map test
+	    typedef typename _Graph::template NodeMap<int> IntNodeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::Node, int>,
+	      IntNodeMap >();
+	  } { // bool map test
+	    typedef typename _Graph::template NodeMap<bool> BoolNodeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::Node, bool>,
+	      BoolNodeMap >();
+	  } { // Dummy map test
+	    typedef typename _Graph::template NodeMap<Dummy> DummyNodeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::Node, Dummy>,
+	      DummyNodeMap >();
+	  }
+	  { // int map test
+	    typedef typename _Graph::template EdgeMap<int> IntEdgeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::Edge, int>,
+	      IntEdgeMap >();
+	  } { // bool map test
+	    typedef typename _Graph::template EdgeMap<bool> BoolEdgeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::Edge, bool>,
+	      BoolEdgeMap >();
+	  } { // Dummy map test
+	    typedef typename _Graph::template EdgeMap<Dummy> DummyEdgeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::Edge, Dummy>,
+	      DummyEdgeMap >();
+	  }
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty mappable base bipartite undirected graph class.
+///
+/// This class provides beside the core graph features
+/// map interface for the graph structure.
+/// This concept is part of the UGraph concept.
+template <typename _Base = BaseUGraphComponent>
+class MappableUGraphComponent : public MappableGraphComponent<_Base>  {
+public:
+typedef _Base Base;
+typedef typename Base::UEdge UEdge;
+typedef MappableUGraphComponent Graph;
+/// \brief ReadWrite map of the uedges.
+///
+/// ReadWrite map of the uedges.
+///
+template <typename _Value>
+class UEdgeMap : public GraphMap<Graph, UEdge, _Value> {
+public:
+typedef GraphMap<MappableUGraphComponent, UEdge, _Value> Parent;
+	/// \brief Construct a new map.
+	///
+	/// Construct a new map for the graph.
+	/// \todo call the right parent class constructor
+	explicit UEdgeMap(const MappableUGraphComponent& graph)
+: Parent(graph) {}
+	/// \brief Construct a new map with default value.
+	///
+	/// Construct a new map for the graph and initalise the values.
+	UEdgeMap(const MappableUGraphComponent& graph, const _Value& value)
+: Parent(graph, value) {}
+	/// \brief Copy constructor.
+	///
+	/// Copy Constructor.
+	UEdgeMap(const UEdgeMap& nm) : Parent(nm) {}
+	/// \brief Assign operator.
+	///
+	/// Assign operator.
+template <typename CMap>
+UEdgeMap& operator=(const CMap&) {
+checkConcept<ReadMap<UEdge, _Value>, CMap>();
+return *this;
+}
+};
+template <typename _Graph>
+struct Constraints {
+	struct Dummy {
+	  int value;
+	  Dummy() : value(0) {}
+	  Dummy(int _v) : value(_v) {}
+	};
+	void constraints() {
+	  checkConcept<MappableGraphComponent<Base>, _Graph>();
+	  { // int map test
+	    typedef typename _Graph::template UEdgeMap<int> IntUEdgeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::UEdge, int>,
+	      IntUEdgeMap >();
+	  } { // bool map test
+	    typedef typename _Graph::template UEdgeMap<bool> BoolUEdgeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::UEdge, bool>,
+	      BoolUEdgeMap >();
+	  } { // Dummy map test
+	    typedef typename _Graph::template UEdgeMap<Dummy> DummyUEdgeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::UEdge, Dummy>,
+	      DummyUEdgeMap >();
+	  }
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty mappable base bipartite undirected graph
+/// class.
+///
+/// This class provides beside the core graph features
+/// map interface for the graph structure.
+/// This concept is part of the BpUGraph concept.
+template <typename _Base = BaseBpUGraphComponent>
+class MappableBpUGraphComponent : public MappableUGraphComponent<_Base>  {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef MappableBpUGraphComponent Graph;
+/// \brief ReadWrite map of the A-nodes.
+///
+/// ReadWrite map of the A-nodes.
+///
+template <typename _Value>
+class ANodeMap : public GraphMap<Graph, Node, _Value> {
+public:
+typedef GraphMap<MappableBpUGraphComponent, Node, _Value> Parent;
+	/// \brief Construct a new map.
+	///
+	/// Construct a new map for the graph.
+	/// \todo call the right parent class constructor
+	explicit ANodeMap(const MappableBpUGraphComponent& graph)
+: Parent(graph) {}
+	/// \brief Construct a new map with default value.
+	///
+	/// Construct a new map for the graph and initalise the values.
+	ANodeMap(const MappableBpUGraphComponent& graph, const _Value& value)
+: Parent(graph, value) {}
+	/// \brief Copy constructor.
+	///
+	/// Copy Constructor.
+	ANodeMap(const ANodeMap& nm) : Parent(nm) {}
+	/// \brief Assign operator.
+	///
+	/// Assign operator.
+template <typename CMap>
+ANodeMap& operator=(const CMap&) {
+checkConcept<ReadMap<Node, _Value>, CMap>();
+return *this;
+}
+};
+/// \brief ReadWrite map of the B-nodes.
+///
+/// ReadWrite map of the A-nodes.
+///
+template <typename _Value>
+class BNodeMap : public GraphMap<Graph, Node, _Value> {
+public:
+typedef GraphMap<MappableBpUGraphComponent, Node, _Value> Parent;
+	/// \brief Construct a new map.
+	///
+	/// Construct a new map for the graph.
+	/// \todo call the right parent class constructor
+	explicit BNodeMap(const MappableBpUGraphComponent& graph)
+: Parent(graph) {}
+	/// \brief Construct a new map with default value.
+	///
+	/// Construct a new map for the graph and initalise the values.
+	BNodeMap(const MappableBpUGraphComponent& graph, const _Value& value)
+: Parent(graph, value) {}
+	/// \brief Copy constructor.
+	///
+	/// Copy Constructor.
+	BNodeMap(const BNodeMap& nm) : Parent(nm) {}
+	/// \brief Assign operator.
+	///
+	/// Assign operator.
+template <typename CMap>
+BNodeMap& operator=(const CMap&) {
+checkConcept<ReadMap<Node, _Value>, CMap>();
+return *this;
+}
+};
+template <typename _Graph>
+struct Constraints {
+	struct Dummy {
+	  int value;
+	  Dummy() : value(0) {}
+	  Dummy(int _v) : value(_v) {}
+	};
+	void constraints() {
+	  checkConcept<MappableUGraphComponent<Base>, _Graph>();
+	  { // int map test
+	    typedef typename _Graph::template ANodeMap<int> IntANodeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::ANode, int>,
+	      IntANodeMap >();
+	  } { // bool map test
+	    typedef typename _Graph::template ANodeMap<bool> BoolANodeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::ANode, bool>,
+	      BoolANodeMap >();
+	  } { // Dummy map test
+	    typedef typename _Graph::template ANodeMap<Dummy> DummyANodeMap;
+	    checkConcept<GraphMap<_Graph, typename _Graph::ANode, Dummy>,
+	      DummyANodeMap >();
+	  }
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty extendable graph class.
+///
+/// This class provides beside the core graph features graph
+/// extendable interface for the graph structure.  The main
+/// difference between the base and this interface is that the
+/// graph alterations should handled already on this level.
+template <typename _Base = BaseGraphComponent>
+class ExtendableGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename _Base::Node Node;
+typedef typename _Base::Edge Edge;
+/// \brief Adds a new node to the graph.
+///
+/// Adds a new node to the graph.
+///
+Node addNode() {
+	return INVALID;
+}
+/// \brief Adds a new edge connects the given two nodes.
+///
+/// Adds a new edge connects the the given two nodes.
+Edge addEdge(const Node&, const Node&) {
+	return INVALID;
+}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<Base, _Graph>();
+	  typename _Graph::Node node_a, node_b;
+	  node_a = graph.addNode();
+	  node_b = graph.addNode();
+	  typename _Graph::Edge edge;
+	  edge = graph.addEdge(node_a, node_b);
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty extendable base undirected graph class.
+///
+/// This class provides beside the core undirected graph features
+/// core undircted graph extend interface for the graph structure.
+/// The main difference between the base and this interface is
+/// that the graph alterations should handled already on this
+/// level.
+template <typename _Base = BaseUGraphComponent>
+class ExtendableUGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename _Base::Node Node;
+typedef typename _Base::UEdge UEdge;
+/// \brief Adds a new node to the graph.
+///
+/// Adds a new node to the graph.
+///
+Node addNode() {
+	return INVALID;
+}
+/// \brief Adds a new edge connects the given two nodes.
+///
+/// Adds a new edge connects the the given two nodes.
+UEdge addEdge(const Node&, const Node&) {
+	return INVALID;
+}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+	  checkConcept<Base, _Graph>();
+	  typename _Graph::Node node_a, node_b;
+	  node_a = graph.addNode();
+	  node_b = graph.addNode();
+	  typename _Graph::UEdge uedge;
+	  uedge = graph.addUEdge(node_a, node_b);
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty extendable base undirected graph class.
+///
+/// This class provides beside the core bipartite undirected graph
+/// features core undircted graph extend interface for the graph
+/// structure.  The main difference between the base and this
+/// interface is that the graph alterations should handled already
+/// on this level.
+template <typename _Base = BaseBpUGraphComponent>
+class ExtendableBpUGraphComponent
+: public ExtendableUGraphComponent<_Base> {
+typedef _Base Base;
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<ExtendableUGraphComponent<Base>, _Graph>();
+	}
+};
+};
+/// \brief An empty erasable graph class.
+///
+/// This class provides beside the core graph features core erase
+/// functions for the graph structure. The main difference between
+/// the base and this interface is that the graph alterations
+/// should handled already on this level.
+template <typename _Base = BaseGraphComponent>
+class ErasableGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::Edge Edge;
+/// \brief Erase a node from the graph.
+///
+/// Erase a node from the graph. This function should
+/// erase all edges connecting to the node.
+void erase(const Node&) {}
+/// \brief Erase an edge from the graph.
+///
+/// Erase an edge from the graph.
+///
+void erase(const Edge&) {}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<Base, _Graph>();
+	  typename _Graph::Node node;
+	  graph.erase(node);
+	  typename _Graph::Edge edge;
+	  graph.erase(edge);
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty erasable base undirected graph class.
+///
+/// This class provides beside the core undirected graph features
+/// core erase functions for the undirceted graph structure. The
+/// main difference between the base and this interface is that
+/// the graph alterations should handled already on this level.
+template <typename _Base = BaseUGraphComponent>
+class ErasableUGraphComponent : public _Base {
+public:
+typedef _Base Base;
+typedef typename Base::Node Node;
+typedef typename Base::UEdge UEdge;
+/// \brief Erase a node from the graph.
+///
+/// Erase a node from the graph. This function should erase
+/// edges connecting to the node.
+void erase(const Node&) {}
+/// \brief Erase an edge from the graph.
+///
+/// Erase an edge from the graph.
+///
+void erase(const UEdge&) {}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<Base, _Graph>();
+	  typename _Graph::Node node;
+	  graph.erase(node);
+	  typename _Graph::Edge edge;
+	  graph.erase(edge);
+	}
+	_Graph& graph;
+};
+};
+/// \brief An empty erasable base bipartite undirected graph class.
+///
+/// This class provides beside the core bipartite undirected graph
+/// features core erase functions for the undirceted graph
+/// structure. The main difference between the base and this
+/// interface is that the graph alterations should handled already
+/// on this level.
+template <typename _Base = BaseBpUGraphComponent>
+class ErasableBpUGraphComponent : public ErasableUGraphComponent<_Base> {
+public:
+typedef _Base Base;
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<ErasableUGraphComponent<Base>, _Graph>();
+	}
+};
+};
+/// \brief An empty clearable base graph class.
+///
+/// This class provides beside the core graph features core clear
+/// functions for the graph structure. The main difference between
+/// the base and this interface is that the graph alterations
+/// should handled already on this level.
+template <typename _Base = BaseGraphComponent>
+class ClearableGraphComponent : public _Base {
+public:
+typedef _Base Base;
+/// \brief Erase all nodes and edges from the graph.
+///
+/// Erase all nodes and edges from the graph.
+///
+void clear() {}
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<Base, _Graph>();
+	  graph.clear();
+	}
+	_Graph graph;
+};
+};
+/// \brief An empty clearable base undirected graph class.
+///
+/// This class provides beside the core undirected graph features
+/// core clear functions for the undirected graph structure. The
+/// main difference between the base and this interface is that
+/// the graph alterations should handled already on this level.
+template <typename _Base = BaseUGraphComponent>
+class ClearableUGraphComponent : public ClearableUGraphComponent<_Base> {
+public:
+typedef _Base Base;
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<ClearableUGraphComponent<Base>, _Graph>();
+	}
+	_Graph graph;
+};
+};
+/// \brief An empty clearable base bipartite undirected graph
+/// class.
+///
+/// This class provides beside the core bipartite undirected graph
+/// features core clear functions for the undirected graph
+/// structure. The main difference between the base and this
+/// interface is that the graph alterations should handled already
+/// on this level.
+template <typename _Base = BaseUGraphComponent>
+class ClearableBpUGraphComponent
+: public ClearableBpUGraphComponent<_Base> {
+public:
+typedef _Base Base;
+template <typename _Graph>
+struct Constraints {
+	void constraints() {
+checkConcept<ClearableBpUGraphComponent<Base>, _Graph>();
+	}
+};
+};
+}
+}
+#endif

changeset 2294	abf880d78522
child 2351	8e3a00d4678e