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+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2013
+ * 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 concepts of graph components.
+
+#ifndef LEMON_CONCEPTS_GRAPH_COMPONENTS_H
+#define LEMON_CONCEPTS_GRAPH_COMPONENTS_H
+
+#include <lemon/core.h>
+#include <lemon/concepts/maps.h>
+
+#include <lemon/bits/alteration_notifier.h>
+
+namespace lemon {
+ namespace concepts {
+
+ /// \brief Concept class for \c Node, \c Arc and \c Edge types.
+ ///
+ /// This class describes the concept of \c Node, \c Arc and \c Edge
+ /// subtypes of digraph and 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 that \c Node
+ /// and \c Arc (or \c Edge) types should \e not derive from the same
+ /// base class. For \c Node you should instantiate it with character
+ /// \c 'n', for \c Arc with \c 'a' and for \c Edge with \c 'e'.
+#ifndef DOXYGEN
+ template <char sel = '0'>
+#endif
+ class GraphItem {
+ public:
+ /// \brief Default constructor.
+ ///
+ /// 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 Constructor for conversion from \c INVALID.
+ ///
+ /// Constructor for conversion from \c INVALID.
+ /// It initializes the item to be invalid.
+ /// \sa Invalid for more details.
+ GraphItem(Invalid) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator for the item.
+ GraphItem& operator=(const GraphItem&) { return *this; }
+
+ /// \brief Assignment operator for INVALID.
+ ///
+ /// This operator makes the item invalid.
+ GraphItem& operator=(Invalid) { return *this; }
+
+ /// \brief Equality operator.
+ ///
+ /// Equality operator.
+ bool operator==(const GraphItem&) const { return false; }
+
+ /// \brief Inequality operator.
+ ///
+ /// Inequality operator.
+ bool operator!=(const GraphItem&) const { return false; }
+
+ /// \brief Ordering operator.
+ ///
+ /// This operator defines an ordering of the items.
+ /// It makes possible to use graph item types as key types in
+ /// associative containers (e.g. \c std::map).
+ ///
+ /// \note This operator only has to define some strict ordering of
+ /// the items; this order has nothing to do with the iteration
+ /// ordering of the items.
+ bool operator<(const GraphItem&) const { return false; }
+
+ template<typename _GraphItem>
+ struct Constraints {
+ void constraints() {
+ _GraphItem i1;
+ i1=INVALID;
+ _GraphItem i2 = i1;
+ _GraphItem i3 = INVALID;
+
+ i1 = i2 = i3;
+
+ bool b;
+ ::lemon::ignore_unused_variable_warning(b);
+
+ b = (ia == ib) && (ia != ib);
+ b = (ia == INVALID) && (ib != INVALID);
+ b = (ia < ib);
+ }
+
+ const _GraphItem &ia;
+ const _GraphItem &ib;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Base skeleton class for directed graphs.
+ ///
+ /// This class describes the base interface of directed graph types.
+ /// All digraph %concepts have to conform to this class.
+ /// It just provides types for nodes and arcs and functions
+ /// to get the source and the target nodes of arcs.
+ class BaseDigraphComponent {
+ public:
+
+ typedef BaseDigraphComponent Digraph;
+
+ /// \brief Node class of the digraph.
+ ///
+ /// This class represents the nodes of the digraph.
+ typedef GraphItem<'n'> Node;
+
+ /// \brief Arc class of the digraph.
+ ///
+ /// This class represents the arcs of the digraph.
+ typedef GraphItem<'a'> Arc;
+
+ /// \brief Return the source node of an arc.
+ ///
+ /// This function returns the source node of an arc.
+ Node source(const Arc&) const { return INVALID; }
+
+ /// \brief Return the target node of an arc.
+ ///
+ /// This function returns the target node of an arc.
+ Node target(const Arc&) const { return INVALID; }
+
+ /// \brief Return the opposite node on the given arc.
+ ///
+ /// This function returns the opposite node on the given arc.
+ Node oppositeNode(const Node&, const Arc&) const {
+ return INVALID;
+ }
+
+ template <typename _Digraph>
+ struct Constraints {
+ typedef typename _Digraph::Node Node;
+ typedef typename _Digraph::Arc Arc;
+
+ void constraints() {
+ checkConcept<GraphItem<'n'>, Node>();
+ checkConcept<GraphItem<'a'>, Arc>();
+ {
+ Node n;
+ Arc e(INVALID);
+ n = digraph.source(e);
+ n = digraph.target(e);
+ n = digraph.oppositeNode(n, e);
+ }
+ }
+
+ const _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Base skeleton class for undirected graphs.
+ ///
+ /// This class describes the base interface of undirected graph types.
+ /// All graph %concepts have to conform to this class.
+ /// It extends the interface of \ref BaseDigraphComponent with an
+ /// \c Edge type and functions to get the end nodes of edges,
+ /// to convert from arcs to edges and to get both direction of edges.
+ class BaseGraphComponent : public BaseDigraphComponent {
+ public:
+
+ typedef BaseGraphComponent Graph;
+
+ typedef BaseDigraphComponent::Node Node;
+ typedef BaseDigraphComponent::Arc Arc;
+
+ /// \brief Undirected edge class of the graph.
+ ///
+ /// This class represents the undirected edges of the graph.
+ /// Undirected graphs can be used as directed graphs, each edge is
+ /// represented by two opposite directed arcs.
+ class Edge : public GraphItem<'e'> {
+ typedef GraphItem<'e'> Parent;
+
+ public:
+ /// \brief Default constructor.
+ ///
+ /// 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.
+ Edge() {}
+
+ /// \brief Copy constructor.
+ ///
+ /// Copy constructor.
+ Edge(const Edge &) : Parent() {}
+
+ /// \brief Constructor for conversion from \c INVALID.
+ ///
+ /// Constructor for conversion from \c INVALID.
+ /// It initializes the item to be invalid.
+ /// \sa Invalid for more details.
+ Edge(Invalid) {}
+
+ /// \brief Constructor for conversion from an arc.
+ ///
+ /// Constructor for conversion from an arc.
+ /// Besides the core graph item functionality each arc should
+ /// be convertible to the represented edge.
+ Edge(const Arc&) {}
+ };
+
+ /// \brief Return one end node of an edge.
+ ///
+ /// This function returns one end node of an edge.
+ Node u(const Edge&) const { return INVALID; }
+
+ /// \brief Return the other end node of an edge.
+ ///
+ /// This function returns the other end node of an edge.
+ Node v(const Edge&) const { return INVALID; }
+
+ /// \brief Return a directed arc related to an edge.
+ ///
+ /// This function returns a directed arc from its direction and the
+ /// represented edge.
+ Arc direct(const Edge&, bool) const { return INVALID; }
+
+ /// \brief Return a directed arc related to an edge.
+ ///
+ /// This function returns a directed arc from its source node and the
+ /// represented edge.
+ Arc direct(const Edge&, const Node&) const { return INVALID; }
+
+ /// \brief Return the direction of the arc.
+ ///
+ /// Returns the direction of the arc. Each arc represents an
+ /// edge with a direction. It gives back the
+ /// direction.
+ bool direction(const Arc&) const { return true; }
+
+ /// \brief Return the opposite arc.
+ ///
+ /// This function returns the opposite arc, i.e. the arc representing
+ /// the same edge and has opposite direction.
+ Arc oppositeArc(const Arc&) const { return INVALID; }
+
+ template <typename _Graph>
+ struct Constraints {
+ typedef typename _Graph::Node Node;
+ typedef typename _Graph::Arc Arc;
+ typedef typename _Graph::Edge Edge;
+
+ void constraints() {
+ checkConcept<BaseDigraphComponent, _Graph>();
+ checkConcept<GraphItem<'e'>, Edge>();
+ {
+ Node n;
+ Edge ue(INVALID);
+ Arc e;
+ n = graph.u(ue);
+ n = graph.v(ue);
+ e = graph.direct(ue, true);
+ e = graph.direct(ue, false);
+ e = graph.direct(ue, n);
+ e = graph.oppositeArc(e);
+ ue = e;
+ bool d = graph.direction(e);
+ ::lemon::ignore_unused_variable_warning(d);
+ }
+ }
+
+ const _Graph& graph;
+ Constraints() {}
+ };
+
+ };
+
+ /// \brief Base skeleton class for undirected bipartite graphs.
+ ///
+ /// This class describes the base interface of undirected
+ /// bipartite graph types. All bipartite graph %concepts have to
+ /// conform to this class. It extends the interface of \ref
+ /// BaseGraphComponent with an \c Edge type and functions to get
+ /// the end nodes of edges, to convert from arcs to edges and to
+ /// get both direction of edges.
+ class BaseBpGraphComponent : public BaseGraphComponent {
+ public:
+
+ typedef BaseBpGraphComponent BpGraph;
+
+ typedef BaseDigraphComponent::Node Node;
+ typedef BaseDigraphComponent::Arc Arc;
+
+ /// \brief Class to represent red nodes.
+ ///
+ /// This class represents the red nodes of the graph. The red
+ /// nodes can also be used as normal nodes.
+ class RedNode : public Node {
+ typedef Node Parent;
+
+ public:
+ /// \brief Default constructor.
+ ///
+ /// 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.
+ RedNode() {}
+
+ /// \brief Copy constructor.
+ ///
+ /// Copy constructor.
+ RedNode(const RedNode &) : Parent() {}
+
+ /// \brief Constructor for conversion from \c INVALID.
+ ///
+ /// Constructor for conversion from \c INVALID.
+ /// It initializes the item to be invalid.
+ /// \sa Invalid for more details.
+ RedNode(Invalid) {}
+ };
+
+ /// \brief Class to represent blue nodes.
+ ///
+ /// This class represents the blue nodes of the graph. The blue
+ /// nodes can also be used as normal nodes.
+ class BlueNode : public Node {
+ typedef Node Parent;
+
+ public:
+ /// \brief Default constructor.
+ ///
+ /// 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.
+ BlueNode() {}
+
+ /// \brief Copy constructor.
+ ///
+ /// Copy constructor.
+ BlueNode(const BlueNode &) : Parent() {}
+
+ /// \brief Constructor for conversion from \c INVALID.
+ ///
+ /// Constructor for conversion from \c INVALID.
+ /// It initializes the item to be invalid.
+ /// \sa Invalid for more details.
+ BlueNode(Invalid) {}
+
+ /// \brief Constructor for conversion from a node.
+ ///
+ /// Constructor for conversion from a node. The conversion can
+ /// be invalid, since the Node can be member of the red
+ /// set.
+ BlueNode(const Node&) {}
+ };
+
+ /// \brief Gives back %true for red nodes.
+ ///
+ /// Gives back %true for red nodes.
+ bool red(const Node&) const { return true; }
+
+ /// \brief Gives back %true for blue nodes.
+ ///
+ /// Gives back %true for blue nodes.
+ bool blue(const Node&) const { return true; }
+
+ /// \brief Gives back the red end node of the edge.
+ ///
+ /// Gives back the red end node of the edge.
+ RedNode redNode(const Edge&) const { return RedNode(); }
+
+ /// \brief Gives back the blue end node of the edge.
+ ///
+ /// Gives back the blue end node of the edge.
+ BlueNode blueNode(const Edge&) const { return BlueNode(); }
+
+ /// \brief Converts the node to red node object.
+ ///
+ /// This function converts unsafely the node to red node
+ /// object. It should be called only if the node is from the red
+ /// partition or INVALID.
+ RedNode asRedNodeUnsafe(const Node&) const { return RedNode(); }
+
+ /// \brief Converts the node to blue node object.
+ ///
+ /// This function converts unsafely the node to blue node
+ /// object. It should be called only if the node is from the red
+ /// partition or INVALID.
+ BlueNode asBlueNodeUnsafe(const Node&) const { return BlueNode(); }
+
+ /// \brief Converts the node to red node object.
+ ///
+ /// This function converts safely the node to red node
+ /// object. If the node is not from the red partition, then it
+ /// returns INVALID.
+ RedNode asRedNode(const Node&) const { return RedNode(); }
+
+ /// \brief Converts the node to blue node object.
+ ///
+ /// This function converts unsafely the node to blue node
+ /// object. If the node is not from the blue partition, then it
+ /// returns INVALID.
+ BlueNode asBlueNode(const Node&) const { return BlueNode(); }
+
+ template <typename _BpGraph>
+ struct Constraints {
+ typedef typename _BpGraph::Node Node;
+ typedef typename _BpGraph::RedNode RedNode;
+ typedef typename _BpGraph::BlueNode BlueNode;
+ typedef typename _BpGraph::Arc Arc;
+ typedef typename _BpGraph::Edge Edge;
+
+ void constraints() {
+ checkConcept<BaseGraphComponent, _BpGraph>();
+ checkConcept<GraphItem<'n'>, RedNode>();
+ checkConcept<GraphItem<'n'>, BlueNode>();
+ {
+ Node n;
+ RedNode rn;
+ BlueNode bn;
+ Node rnan = rn;
+ Node bnan = bn;
+ Edge e;
+ bool b;
+ b = bpgraph.red(rnan);
+ b = bpgraph.blue(bnan);
+ rn = bpgraph.redNode(e);
+ bn = bpgraph.blueNode(e);
+ rn = bpgraph.asRedNodeUnsafe(rnan);
+ bn = bpgraph.asBlueNodeUnsafe(bnan);
+ rn = bpgraph.asRedNode(rnan);
+ bn = bpgraph.asBlueNode(bnan);
+ ::lemon::ignore_unused_variable_warning(b);
+ }
+ }
+
+ const _BpGraph& bpgraph;
+ };
+
+ };
+
+ /// \brief Skeleton class for \e idable directed graphs.
+ ///
+ /// This class describes the interface of \e idable directed graphs.
+ /// It extends \ref BaseDigraphComponent with the core ID functions.
+ /// The ids of the items must be unique and immutable.
+ /// This concept is part of the Digraph concept.
+ template <typename BAS = BaseDigraphComponent>
+ class IDableDigraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+
+ /// \brief Return a unique integer id for the given node.
+ ///
+ /// This function returns a unique integer id for the given node.
+ int id(const Node&) const { return -1; }
+
+ /// \brief Return the node by its unique id.
+ ///
+ /// This function returns the node by its unique id.
+ /// If the digraph does not contain a node with the given id,
+ /// then the result of the function is undefined.
+ Node nodeFromId(int) const { return INVALID; }
+
+ /// \brief Return a unique integer id for the given arc.
+ ///
+ /// This function returns a unique integer id for the given arc.
+ int id(const Arc&) const { return -1; }
+
+ /// \brief Return the arc by its unique id.
+ ///
+ /// This function returns the arc by its unique id.
+ /// If the digraph does not contain an arc with the given id,
+ /// then the result of the function is undefined.
+ Arc arcFromId(int) const { return INVALID; }
+
+ /// \brief Return an integer greater or equal to the maximum
+ /// node id.
+ ///
+ /// This function returns an integer greater or equal to the
+ /// maximum node id.
+ int maxNodeId() const { return -1; }
+
+ /// \brief Return an integer greater or equal to the maximum
+ /// arc id.
+ ///
+ /// This function returns an integer greater or equal to the
+ /// maximum arc id.
+ int maxArcId() const { return -1; }
+
+ template <typename _Digraph>
+ struct Constraints {
+
+ void constraints() {
+ checkConcept<Base, _Digraph >();
+ typename _Digraph::Node node;
+ node=INVALID;
+ int nid = digraph.id(node);
+ nid = digraph.id(node);
+ node = digraph.nodeFromId(nid);
+ typename _Digraph::Arc arc;
+ arc=INVALID;
+ int eid = digraph.id(arc);
+ eid = digraph.id(arc);
+ arc = digraph.arcFromId(eid);
+
+ nid = digraph.maxNodeId();
+ ::lemon::ignore_unused_variable_warning(nid);
+ eid = digraph.maxArcId();
+ ::lemon::ignore_unused_variable_warning(eid);
+ }
+
+ const _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for \e idable undirected graphs.
+ ///
+ /// This class describes the interface of \e idable undirected
+ /// graphs. It extends \ref IDableDigraphComponent with the core ID
+ /// functions of undirected graphs.
+ /// The ids of the items must be unique and immutable.
+ /// This concept is part of the Graph concept.
+ template <typename BAS = BaseGraphComponent>
+ class IDableGraphComponent : public IDableDigraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Edge Edge;
+
+ using IDableDigraphComponent<Base>::id;
+
+ /// \brief Return a unique integer id for the given edge.
+ ///
+ /// This function returns a unique integer id for the given edge.
+ int id(const Edge&) const { return -1; }
+
+ /// \brief Return the edge by its unique id.
+ ///
+ /// This function returns the edge by its unique id.
+ /// If the graph does not contain an edge with the given id,
+ /// then the result of the function is undefined.
+ Edge edgeFromId(int) const { return INVALID; }
+
+ /// \brief Return an integer greater or equal to the maximum
+ /// edge id.
+ ///
+ /// This function returns an integer greater or equal to the
+ /// maximum edge id.
+ int maxEdgeId() const { return -1; }
+
+ template <typename _Graph>
+ struct Constraints {
+
+ void constraints() {
+ checkConcept<IDableDigraphComponent<Base>, _Graph >();
+ typename _Graph::Edge edge;
+ int ueid = graph.id(edge);
+ ueid = graph.id(edge);
+ edge = graph.edgeFromId(ueid);
+ ueid = graph.maxEdgeId();
+ ::lemon::ignore_unused_variable_warning(ueid);
+ }
+
+ const _Graph& graph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for \e idable undirected bipartite graphs.
+ ///
+ /// This class describes the interface of \e idable undirected
+ /// bipartite graphs. It extends \ref IDableGraphComponent with
+ /// the core ID functions of undirected bipartite graphs. Beside
+ /// the regular node ids, this class also provides ids within the
+ /// the red and blue sets of the nodes. This concept is part of
+ /// the BpGraph concept.
+ template <typename BAS = BaseBpGraphComponent>
+ class IDableBpGraphComponent : public IDableGraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef IDableGraphComponent<BAS> Parent;
+ typedef typename Base::Node Node;
+ typedef typename Base::RedNode RedNode;
+ typedef typename Base::BlueNode BlueNode;
+
+ using Parent::id;
+
+ /// \brief Return a unique integer id for the given node in the red set.
+ ///
+ /// Return a unique integer id for the given node in the red set.
+ int id(const RedNode&) const { return -1; }
+
+ /// \brief Return a unique integer id for the given node in the blue set.
+ ///
+ /// Return a unique integer id for the given node in the blue set.
+ int id(const BlueNode&) const { return -1; }
+
+ /// \brief Return an integer greater or equal to the maximum
+ /// node id in the red set.
+ ///
+ /// Return an integer greater or equal to the maximum
+ /// node id in the red set.
+ int maxRedId() const { return -1; }
+
+ /// \brief Return an integer greater or equal to the maximum
+ /// node id in the blue set.
+ ///
+ /// Return an integer greater or equal to the maximum
+ /// node id in the blue set.
+ int maxBlueId() const { return -1; }
+
+ template <typename _BpGraph>
+ struct Constraints {
+
+ void constraints() {
+ checkConcept<IDableGraphComponent<Base>, _BpGraph>();
+ typename _BpGraph::Node node;
+ typename _BpGraph::RedNode red;
+ typename _BpGraph::BlueNode blue;
+ int rid = bpgraph.id(red);
+ int bid = bpgraph.id(blue);
+ rid = bpgraph.maxRedId();
+ bid = bpgraph.maxBlueId();
+ ::lemon::ignore_unused_variable_warning(rid);
+ ::lemon::ignore_unused_variable_warning(bid);
+ }
+
+ const _BpGraph& bpgraph;
+ };
+ };
+
+ /// \brief Concept class for \c NodeIt, \c ArcIt and \c EdgeIt types.
+ ///
+ /// This class describes the concept of \c NodeIt, \c ArcIt and
+ /// \c EdgeIt subtypes of digraph and graph types.
+ template <typename GR, typename Item>
+ class GraphItemIt : public Item {
+ public:
+ /// \brief Default constructor.
+ ///
+ /// Default constructor.
+ /// \warning The default constructor is not required to set
+ /// the iterator to some well-defined value. So you should consider it
+ /// as uninitialized.
+ GraphItemIt() {}
+
+ /// \brief Copy constructor.
+ ///
+ /// Copy constructor.
+ GraphItemIt(const GraphItemIt& it) : Item(it) {}
+
+ /// \brief Constructor that sets the iterator to the first item.
+ ///
+ /// Constructor that sets the iterator to the first item.
+ explicit GraphItemIt(const GR&) {}
+
+ /// \brief Constructor for conversion from \c INVALID.
+ ///
+ /// Constructor for conversion from \c INVALID.
+ /// It initializes the iterator to be invalid.
+ /// \sa Invalid for more details.
+ GraphItemIt(Invalid) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator for the iterator.
+ GraphItemIt& operator=(const GraphItemIt&) { return *this; }
+
+ /// \brief Increment the iterator.
+ ///
+ /// This operator increments the iterator, i.e. assigns it to the
+ /// next item.
+ GraphItemIt& operator++() { return *this; }
+
+ /// \brief Equality operator
+ ///
+ /// 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
+ ///
+ /// Inequality 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;}
+
+ template<typename _GraphItemIt>
+ struct Constraints {
+ void constraints() {
+ checkConcept<GraphItem<>, _GraphItemIt>();
+ _GraphItemIt it1(g);
+ _GraphItemIt it2;
+ _GraphItemIt it3 = it1;
+ _GraphItemIt it4 = INVALID;
+ ::lemon::ignore_unused_variable_warning(it3);
+ ::lemon::ignore_unused_variable_warning(it4);
+
+ it2 = ++it1;
+ ++it2 = it1;
+ ++(++it1);
+
+ Item bi = it1;
+ bi = it2;
+ }
+ const GR& g;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Concept class for \c InArcIt, \c OutArcIt and
+ /// \c IncEdgeIt types.
+ ///
+ /// This class describes the concept of \c InArcIt, \c OutArcIt
+ /// and \c IncEdgeIt subtypes of digraph and graph types.
+ ///
+ /// \note Since these iterator classes do not inherit from the same
+ /// base class, there is an additional template parameter (selector)
+ /// \c sel. For \c InArcIt you should instantiate it with character
+ /// \c 'i', for \c OutArcIt with \c 'o' and for \c IncEdgeIt with \c 'e'.
+ template <typename GR,
+ typename Item = typename GR::Arc,
+ typename Base = typename GR::Node,
+ char sel = '0'>
+ class GraphIncIt : public Item {
+ public:
+ /// \brief Default constructor.
+ ///
+ /// Default constructor.
+ /// \warning The default constructor is not required to set
+ /// the iterator to some well-defined value. So you should consider it
+ /// as uninitialized.
+ GraphIncIt() {}
+
+ /// \brief Copy constructor.
+ ///
+ /// Copy constructor.
+ GraphIncIt(const GraphIncIt& it) : Item(it) {}
+
+ /// \brief Constructor that sets the iterator to the first
+ /// incoming or outgoing arc.
+ ///
+ /// Constructor that sets the iterator to the first arc
+ /// incoming to or outgoing from the given node.
+ explicit GraphIncIt(const GR&, const Base&) {}
+
+ /// \brief Constructor for conversion from \c INVALID.
+ ///
+ /// Constructor for conversion from \c INVALID.
+ /// It initializes the iterator to be invalid.
+ /// \sa Invalid for more details.
+ GraphIncIt(Invalid) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator for the iterator.
+ GraphIncIt& operator=(const GraphIncIt&) { return *this; }
+
+ /// \brief Increment the iterator.
+ ///
+ /// This operator increments the iterator, i.e. assigns it to the
+ /// next arc incoming to or outgoing from the given node.
+ GraphIncIt& operator++() { return *this; }
+
+ /// \brief Equality operator
+ ///
+ /// 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
+ ///
+ /// Inequality 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;}
+
+ template <typename _GraphIncIt>
+ struct Constraints {
+ void constraints() {
+ checkConcept<GraphItem<sel>, _GraphIncIt>();
+ _GraphIncIt it1(graph, node);
+ _GraphIncIt it2;
+ _GraphIncIt it3 = it1;
+ _GraphIncIt it4 = INVALID;
+ ::lemon::ignore_unused_variable_warning(it3);
+ ::lemon::ignore_unused_variable_warning(it4);
+
+ it2 = ++it1;
+ ++it2 = it1;
+ ++(++it1);
+ Item e = it1;
+ e = it2;
+ }
+ const Base& node;
+ const GR& graph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for iterable directed graphs.
+ ///
+ /// This class describes the interface of iterable directed
+ /// graphs. It extends \ref BaseDigraphComponent with the core
+ /// iterable interface.
+ /// This concept is part of the Digraph concept.
+ template <typename BAS = BaseDigraphComponent>
+ class IterableDigraphComponent : public BAS {
+
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+
+ typedef IterableDigraphComponent Digraph;
+
+ /// \name Base Iteration
+ ///
+ /// This interface provides functions for iteration on digraph items.
+ ///
+ /// @{
+
+ /// \brief Return the first node.
+ ///
+ /// This function gives back the first node in the iteration order.
+ void first(Node&) const {}
+
+ /// \brief Return the next node.
+ ///
+ /// This function gives back the next node in the iteration order.
+ void next(Node&) const {}
+
+ /// \brief Return the first arc.
+ ///
+ /// This function gives back the first arc in the iteration order.
+ void first(Arc&) const {}
+
+ /// \brief Return the next arc.
+ ///
+ /// This function gives back the next arc in the iteration order.
+ void next(Arc&) const {}
+
+ /// \brief Return the first arc incoming to the given node.
+ ///
+ /// This function gives back the first arc incoming to the
+ /// given node.
+ void firstIn(Arc&, const Node&) const {}
+
+ /// \brief Return the next arc incoming to the given node.
+ ///
+ /// This function gives back the next arc incoming to the
+ /// given node.
+ void nextIn(Arc&) const {}
+
+ /// \brief Return the first arc outgoing form the given node.
+ ///
+ /// This function gives back the first arc outgoing form the
+ /// given node.
+ void firstOut(Arc&, const Node&) const {}
+
+ /// \brief Return the next arc outgoing form the given node.
+ ///
+ /// This function gives back the next arc outgoing form the
+ /// given node.
+ void nextOut(Arc&) const {}
+
+ /// @}
+
+ /// \name Class Based Iteration
+ ///
+ /// This interface provides iterator classes for digraph items.
+ ///
+ /// @{
+
+ /// \brief This iterator goes through each node.
+ ///
+ /// This iterator goes through each node.
+ ///
+ typedef GraphItemIt<Digraph, Node> NodeIt;
+
+ /// \brief This iterator goes through each arc.
+ ///
+ /// This iterator goes through each arc.
+ ///
+ typedef GraphItemIt<Digraph, Arc> ArcIt;
+
+ /// \brief This iterator goes trough the incoming arcs of a node.
+ ///
+ /// This iterator goes trough the \e incoming arcs of a certain node
+ /// of a digraph.
+ typedef GraphIncIt<Digraph, Arc, Node, 'i'> InArcIt;
+
+ /// \brief This iterator goes trough the outgoing arcs of a node.
+ ///
+ /// This iterator goes trough the \e outgoing arcs of a certain node
+ /// of a digraph.
+ typedef GraphIncIt<Digraph, Arc, Node, 'o'> OutArcIt;
+
+ /// \brief The base node of the iterator.
+ ///
+ /// This function gives back the base node of the iterator.
+ /// It is always the target node of the pointed arc.
+ Node baseNode(const InArcIt&) const { return INVALID; }
+
+ /// \brief The running node of the iterator.
+ ///
+ /// This function gives back the running node of the iterator.
+ /// It is always the source node of the pointed arc.
+ Node runningNode(const InArcIt&) const { return INVALID; }
+
+ /// \brief The base node of the iterator.
+ ///
+ /// This function gives back the base node of the iterator.
+ /// It is always the source node of the pointed arc.
+ Node baseNode(const OutArcIt&) const { return INVALID; }
+
+ /// \brief The running node of the iterator.
+ ///
+ /// This function gives back the running node of the iterator.
+ /// It is always the target node of the pointed arc.
+ Node runningNode(const OutArcIt&) const { return INVALID; }
+
+ /// @}
+
+ template <typename _Digraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _Digraph>();
+
+ {
+ typename _Digraph::Node node(INVALID);
+ typename _Digraph::Arc arc(INVALID);
+ {
+ digraph.first(node);
+ digraph.next(node);
+ }
+ {
+ digraph.first(arc);
+ digraph.next(arc);
+ }
+ {
+ digraph.firstIn(arc, node);
+ digraph.nextIn(arc);
+ }
+ {
+ digraph.firstOut(arc, node);
+ digraph.nextOut(arc);
+ }
+ }
+
+ {
+ checkConcept<GraphItemIt<_Digraph, typename _Digraph::Arc>,
+ typename _Digraph::ArcIt >();
+ checkConcept<GraphItemIt<_Digraph, typename _Digraph::Node>,
+ typename _Digraph::NodeIt >();
+ checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
+ typename _Digraph::Node, 'i'>, typename _Digraph::InArcIt>();
+ checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
+ typename _Digraph::Node, 'o'>, typename _Digraph::OutArcIt>();
+
+ typename _Digraph::Node n;
+ const typename _Digraph::InArcIt iait(INVALID);
+ const typename _Digraph::OutArcIt oait(INVALID);
+ n = digraph.baseNode(iait);
+ n = digraph.runningNode(iait);
+ n = digraph.baseNode(oait);
+ n = digraph.runningNode(oait);
+ ::lemon::ignore_unused_variable_warning(n);
+ }
+ }
+
+ const _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for iterable undirected graphs.
+ ///
+ /// This class describes the interface of iterable undirected
+ /// graphs. It extends \ref IterableDigraphComponent with the core
+ /// iterable interface of undirected graphs.
+ /// This concept is part of the Graph concept.
+ template <typename BAS = BaseGraphComponent>
+ class IterableGraphComponent : public IterableDigraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+ typedef typename Base::Edge Edge;
+
+
+ typedef IterableGraphComponent Graph;
+
+ /// \name Base Iteration
+ ///
+ /// This interface provides functions for iteration on edges.
+ ///
+ /// @{
+
+ using IterableDigraphComponent<Base>::first;
+ using IterableDigraphComponent<Base>::next;
+
+ /// \brief Return the first edge.
+ ///
+ /// This function gives back the first edge in the iteration order.
+ void first(Edge&) const {}
+
+ /// \brief Return the next edge.
+ ///
+ /// This function gives back the next edge in the iteration order.
+ void next(Edge&) const {}
+
+ /// \brief Return the first edge incident to the given node.
+ ///
+ /// This function gives back the first edge incident to the given
+ /// node. The bool parameter gives back the direction for which the
+ /// source node of the directed arc representing the edge is the
+ /// given node.
+ void firstInc(Edge&, bool&, const Node&) const {}
+
+ /// \brief Gives back the next of the edges from the
+ /// given node.
+ ///
+ /// This function gives back the next edge incident to the given
+ /// node. The bool parameter should be used as \c firstInc() use it.
+ void nextInc(Edge&, bool&) const {}
+
+ using IterableDigraphComponent<Base>::baseNode;
+ using IterableDigraphComponent<Base>::runningNode;
+
+ /// @}
+
+ /// \name Class Based Iteration
+ ///
+ /// This interface provides iterator classes for edges.
+ ///
+ /// @{
+
+ /// \brief This iterator goes through each edge.
+ ///
+ /// This iterator goes through each edge.
+ typedef GraphItemIt<Graph, Edge> EdgeIt;
+
+ /// \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, Edge, Node, 'e'> IncEdgeIt;
+
+ /// \brief The base node of the iterator.
+ ///
+ /// This function gives back the base node of the iterator.
+ Node baseNode(const IncEdgeIt&) const { return INVALID; }
+
+ /// \brief The running node of the iterator.
+ ///
+ /// This function gives back the running node of the iterator.
+ Node runningNode(const IncEdgeIt&) const { return INVALID; }
+
+ /// @}
+
+ template <typename _Graph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<IterableDigraphComponent<Base>, _Graph>();
+
+ {
+ typename _Graph::Node node(INVALID);
+ typename _Graph::Edge edge(INVALID);
+ bool dir;
+ {
+ graph.first(edge);
+ graph.next(edge);
+ }
+ {
+ graph.firstInc(edge, dir, node);
+ graph.nextInc(edge, dir);
+ }
+
+ }
+
+ {
+ checkConcept<GraphItemIt<_Graph, typename _Graph::Edge>,
+ typename _Graph::EdgeIt >();
+ checkConcept<GraphIncIt<_Graph, typename _Graph::Edge,
+ typename _Graph::Node, 'e'>, typename _Graph::IncEdgeIt>();
+
+ typename _Graph::Node n;
+ const typename _Graph::IncEdgeIt ieit(INVALID);
+ n = graph.baseNode(ieit);
+ n = graph.runningNode(ieit);
+ }
+ }
+
+ const _Graph& graph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for iterable undirected bipartite graphs.
+ ///
+ /// This class describes the interface of iterable undirected
+ /// bipartite graphs. It extends \ref IterableGraphComponent with
+ /// the core iterable interface of undirected bipartite graphs.
+ /// This concept is part of the BpGraph concept.
+ template <typename BAS = BaseBpGraphComponent>
+ class IterableBpGraphComponent : public IterableGraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::RedNode RedNode;
+ typedef typename Base::BlueNode BlueNode;
+ typedef typename Base::Arc Arc;
+ typedef typename Base::Edge Edge;
+
+ typedef IterableBpGraphComponent BpGraph;
+
+ using IterableGraphComponent<BAS>::first;
+ using IterableGraphComponent<BAS>::next;
+
+ /// \name Base Iteration
+ ///
+ /// This interface provides functions for iteration on red and blue nodes.
+ ///
+ /// @{
+
+ /// \brief Return the first red node.
+ ///
+ /// This function gives back the first red node in the iteration order.
+ void first(RedNode&) const {}
+
+ /// \brief Return the next red node.
+ ///
+ /// This function gives back the next red node in the iteration order.
+ void next(RedNode&) const {}
+
+ /// \brief Return the first blue node.
+ ///
+ /// This function gives back the first blue node in the iteration order.
+ void first(BlueNode&) const {}
+
+ /// \brief Return the next blue node.
+ ///
+ /// This function gives back the next blue node in the iteration order.
+ void next(BlueNode&) const {}
+
+
+ /// @}
+
+ /// \name Class Based Iteration
+ ///
+ /// This interface provides iterator classes for red and blue nodes.
+ ///
+ /// @{
+
+ /// \brief This iterator goes through each red node.
+ ///
+ /// This iterator goes through each red node.
+ typedef GraphItemIt<BpGraph, RedNode> RedNodeIt;
+
+ /// \brief This iterator goes through each blue node.
+ ///
+ /// This iterator goes through each blue node.
+ typedef GraphItemIt<BpGraph, BlueNode> BlueNodeIt;
+
+ /// @}
+
+ template <typename _BpGraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<IterableGraphComponent<Base>, _BpGraph>();
+
+ typename _BpGraph::RedNode rn(INVALID);
+ bpgraph.first(rn);
+ bpgraph.next(rn);
+ typename _BpGraph::BlueNode bn(INVALID);
+ bpgraph.first(bn);
+ bpgraph.next(bn);
+
+ checkConcept<GraphItemIt<_BpGraph, typename _BpGraph::RedNode>,
+ typename _BpGraph::RedNodeIt>();
+ checkConcept<GraphItemIt<_BpGraph, typename _BpGraph::BlueNode>,
+ typename _BpGraph::BlueNodeIt>();
+ }
+
+ const _BpGraph& bpgraph;
+ };
+ };
+
+ /// \brief Skeleton class for alterable directed graphs.
+ ///
+ /// This class describes the interface of alterable directed
+ /// graphs. It extends \ref BaseDigraphComponent with the alteration
+ /// notifier interface. It implements
+ /// an observer-notifier pattern for each digraph item. More
+ /// obsevers can be registered into the notifier and whenever an
+ /// alteration occured in the digraph all the observers will be
+ /// notified about it.
+ template <typename BAS = BaseDigraphComponent>
+ class AlterableDigraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+
+
+ /// Node alteration notifier class.
+ typedef AlterationNotifier<AlterableDigraphComponent, Node>
+ NodeNotifier;
+ /// Arc alteration notifier class.
+ typedef AlterationNotifier<AlterableDigraphComponent, Arc>
+ ArcNotifier;
+
+ mutable NodeNotifier node_notifier;
+ mutable ArcNotifier arc_notifier;
+
+ /// \brief Return the node alteration notifier.
+ ///
+ /// This function gives back the node alteration notifier.
+ NodeNotifier& notifier(Node) const {
+ return node_notifier;
+ }
+
+ /// \brief Return the arc alteration notifier.
+ ///
+ /// This function gives back the arc alteration notifier.
+ ArcNotifier& notifier(Arc) const {
+ return arc_notifier;
+ }
+
+ template <typename _Digraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _Digraph>();
+ typename _Digraph::NodeNotifier& nn
+ = digraph.notifier(typename _Digraph::Node());
+
+ typename _Digraph::ArcNotifier& en
+ = digraph.notifier(typename _Digraph::Arc());
+
+ ::lemon::ignore_unused_variable_warning(nn);
+ ::lemon::ignore_unused_variable_warning(en);
+ }
+
+ const _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for alterable undirected graphs.
+ ///
+ /// This class describes the interface of alterable undirected
+ /// graphs. It extends \ref AlterableDigraphComponent with the alteration
+ /// notifier interface of undirected graphs. It implements
+ /// an observer-notifier pattern for the edges. More
+ /// obsevers can be registered into the notifier and whenever an
+ /// alteration occured in the graph all the observers will be
+ /// notified about it.
+ template <typename BAS = BaseGraphComponent>
+ class AlterableGraphComponent : public AlterableDigraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef AlterableDigraphComponent<Base> Parent;
+ typedef typename Base::Edge Edge;
+
+
+ /// Edge alteration notifier class.
+ typedef AlterationNotifier<AlterableGraphComponent, Edge>
+ EdgeNotifier;
+
+ mutable EdgeNotifier edge_notifier;
+
+ using Parent::notifier;
+
+ /// \brief Return the edge alteration notifier.
+ ///
+ /// This function gives back the edge alteration notifier.
+ EdgeNotifier& notifier(Edge) const {
+ return edge_notifier;
+ }
+
+ template <typename _Graph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<AlterableDigraphComponent<Base>, _Graph>();
+ typename _Graph::EdgeNotifier& uen
+ = graph.notifier(typename _Graph::Edge());
+ ::lemon::ignore_unused_variable_warning(uen);
+ }
+
+ const _Graph& graph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for alterable undirected bipartite graphs.
+ ///
+ /// This class describes the interface of alterable undirected
+ /// bipartite graphs. It extends \ref AlterableGraphComponent with
+ /// the alteration notifier interface of bipartite graphs. It
+ /// implements an observer-notifier pattern for the red and blue
+ /// nodes. More obsevers can be registered into the notifier and
+ /// whenever an alteration occured in the graph all the observers
+ /// will be notified about it.
+ template <typename BAS = BaseBpGraphComponent>
+ class AlterableBpGraphComponent : public AlterableGraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef AlterableGraphComponent<Base> Parent;
+ typedef typename Base::RedNode RedNode;
+ typedef typename Base::BlueNode BlueNode;
+
+
+ /// Red node alteration notifier class.
+ typedef AlterationNotifier<AlterableBpGraphComponent, RedNode>
+ RedNodeNotifier;
+
+ /// Blue node alteration notifier class.
+ typedef AlterationNotifier<AlterableBpGraphComponent, BlueNode>
+ BlueNodeNotifier;
+
+ mutable RedNodeNotifier red_node_notifier;
+ mutable BlueNodeNotifier blue_node_notifier;
+
+ using Parent::notifier;
+
+ /// \brief Return the red node alteration notifier.
+ ///
+ /// This function gives back the red node alteration notifier.
+ RedNodeNotifier& notifier(RedNode) const {
+ return red_node_notifier;
+ }
+
+ /// \brief Return the blue node alteration notifier.
+ ///
+ /// This function gives back the blue node alteration notifier.
+ BlueNodeNotifier& notifier(BlueNode) const {
+ return blue_node_notifier;
+ }
+
+ template <typename _BpGraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<AlterableGraphComponent<Base>, _BpGraph>();
+ typename _BpGraph::RedNodeNotifier& rnn
+ = bpgraph.notifier(typename _BpGraph::RedNode());
+ typename _BpGraph::BlueNodeNotifier& bnn
+ = bpgraph.notifier(typename _BpGraph::BlueNode());
+ ::lemon::ignore_unused_variable_warning(rnn);
+ ::lemon::ignore_unused_variable_warning(bnn);
+ }
+
+ const _BpGraph& bpgraph;
+ };
+ };
+
+ /// \brief Concept class for standard graph maps.
+ ///
+ /// This class describes the concept of standard graph maps, i.e.
+ /// the \c NodeMap, \c ArcMap and \c EdgeMap subtypes of digraph and
+ /// graph types, which can be used for associating data to graph items.
+ /// The standard graph maps must conform to the ReferenceMap concept.
+ template <typename GR, typename K, typename V>
+ class GraphMap : public ReferenceMap<K, V, V&, const V&> {
+ typedef ReferenceMap<K, V, V&, const V&> Parent;
+
+ public:
+
+ /// The key type of the map.
+ typedef K Key;
+ /// The value type of the map.
+ typedef V Value;
+ /// The reference type of the map.
+ typedef Value& Reference;
+ /// The const reference type of the map.
+ typedef const Value& ConstReference;
+
+ // The reference map tag.
+ typedef True ReferenceMapTag;
+
+ /// \brief Construct a new map.
+ ///
+ /// Construct a new map for the graph.
+ explicit GraphMap(const GR&) {}
+ /// \brief Construct a new map with default value.
+ ///
+ /// Construct a new map for the graph and initalize the values.
+ GraphMap(const GR&, const Value&) {}
+
+ private:
+ /// \brief Copy constructor.
+ ///
+ /// Copy Constructor.
+ GraphMap(const GraphMap&) : Parent() {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment 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;
+ }
+
+ public:
+ template<typename _Map>
+ struct Constraints {
+ void constraints() {
+ checkConcept
+ <ReferenceMap<Key, Value, Value&, const Value&>, _Map>();
+ _Map m1(g);
+ _Map m2(g,t);
+
+ // Copy constructor
+ // _Map m3(m);
+
+ // Assignment operator
+ // ReadMap<Key, Value> cmap;
+ // m3 = cmap;
+
+ ::lemon::ignore_unused_variable_warning(m1);
+ ::lemon::ignore_unused_variable_warning(m2);
+ // ::lemon::ignore_unused_variable_warning(m3);
+ }
+
+ const _Map &m;
+ const GR &g;
+ const typename GraphMap::Value &t;
+ Constraints() {}
+ };
+
+ };
+
+ /// \brief Skeleton class for mappable directed graphs.
+ ///
+ /// This class describes the interface of mappable directed graphs.
+ /// It extends \ref BaseDigraphComponent with the standard digraph
+ /// map classes, namely \c NodeMap and \c ArcMap.
+ /// This concept is part of the Digraph concept.
+ template <typename BAS = BaseDigraphComponent>
+ class MappableDigraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+
+ typedef MappableDigraphComponent Digraph;
+
+ /// \brief Standard graph map for the nodes.
+ ///
+ /// Standard graph map for the nodes.
+ /// It conforms to the ReferenceMap concept.
+ template <typename V>
+ class NodeMap : public GraphMap<MappableDigraphComponent, Node, V> {
+ typedef GraphMap<MappableDigraphComponent, Node, V> Parent;
+
+ public:
+ /// \brief Construct a new map.
+ ///
+ /// Construct a new map for the digraph.
+ explicit NodeMap(const MappableDigraphComponent& digraph)
+ : Parent(digraph) {}
+
+ /// \brief Construct a new map with default value.
+ ///
+ /// Construct a new map for the digraph and initalize the values.
+ NodeMap(const MappableDigraphComponent& digraph, const V& value)
+ : Parent(digraph, value) {}
+
+ private:
+ /// \brief Copy constructor.
+ ///
+ /// Copy Constructor.
+ NodeMap(const NodeMap& nm) : Parent(nm) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator.
+ template <typename CMap>
+ NodeMap& operator=(const CMap&) {
+ checkConcept<ReadMap<Node, V>, CMap>();
+ return *this;
+ }
+
+ };
+
+ /// \brief Standard graph map for the arcs.
+ ///
+ /// Standard graph map for the arcs.
+ /// It conforms to the ReferenceMap concept.
+ template <typename V>
+ class ArcMap : public GraphMap<MappableDigraphComponent, Arc, V> {
+ typedef GraphMap<MappableDigraphComponent, Arc, V> Parent;
+
+ public:
+ /// \brief Construct a new map.
+ ///
+ /// Construct a new map for the digraph.
+ explicit ArcMap(const MappableDigraphComponent& digraph)
+ : Parent(digraph) {}
+
+ /// \brief Construct a new map with default value.
+ ///
+ /// Construct a new map for the digraph and initalize the values.
+ ArcMap(const MappableDigraphComponent& digraph, const V& value)
+ : Parent(digraph, value) {}
+
+ private:
+ /// \brief Copy constructor.
+ ///
+ /// Copy Constructor.
+ ArcMap(const ArcMap& nm) : Parent(nm) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator.
+ template <typename CMap>
+ ArcMap& operator=(const CMap&) {
+ checkConcept<ReadMap<Arc, V>, CMap>();
+ return *this;
+ }
+
+ };
+
+
+ template <typename _Digraph>
+ struct Constraints {
+
+ struct Dummy {
+ int value;
+ Dummy() : value(0) {}
+ Dummy(int _v) : value(_v) {}
+ };
+
+ void constraints() {
+ checkConcept<Base, _Digraph>();
+ { // int map test
+ typedef typename _Digraph::template NodeMap<int> IntNodeMap;
+ checkConcept<GraphMap<_Digraph, typename _Digraph::Node, int>,
+ IntNodeMap >();
+ } { // bool map test
+ typedef typename _Digraph::template NodeMap<bool> BoolNodeMap;
+ checkConcept<GraphMap<_Digraph, typename _Digraph::Node, bool>,
+ BoolNodeMap >();
+ } { // Dummy map test
+ typedef typename _Digraph::template NodeMap<Dummy> DummyNodeMap;
+ checkConcept<GraphMap<_Digraph, typename _Digraph::Node, Dummy>,
+ DummyNodeMap >();
+ }
+
+ { // int map test
+ typedef typename _Digraph::template ArcMap<int> IntArcMap;
+ checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, int>,
+ IntArcMap >();
+ } { // bool map test
+ typedef typename _Digraph::template ArcMap<bool> BoolArcMap;
+ checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, bool>,
+ BoolArcMap >();
+ } { // Dummy map test
+ typedef typename _Digraph::template ArcMap<Dummy> DummyArcMap;
+ checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, Dummy>,
+ DummyArcMap >();
+ }
+ }
+
+ const _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for mappable undirected graphs.
+ ///
+ /// This class describes the interface of mappable undirected graphs.
+ /// It extends \ref MappableDigraphComponent with the standard graph
+ /// map class for edges (\c EdgeMap).
+ /// This concept is part of the Graph concept.
+ template <typename BAS = BaseGraphComponent>
+ class MappableGraphComponent : public MappableDigraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Edge Edge;
+
+ typedef MappableGraphComponent Graph;
+
+ /// \brief Standard graph map for the edges.
+ ///
+ /// Standard graph map for the edges.
+ /// It conforms to the ReferenceMap concept.
+ template <typename V>
+ class EdgeMap : public GraphMap<MappableGraphComponent, Edge, V> {
+ typedef GraphMap<MappableGraphComponent, Edge, V> Parent;
+
+ public:
+ /// \brief Construct a new map.
+ ///
+ /// Construct a new map for the graph.
+ explicit EdgeMap(const MappableGraphComponent& graph)
+ : Parent(graph) {}
+
+ /// \brief Construct a new map with default value.
+ ///
+ /// Construct a new map for the graph and initalize the values.
+ EdgeMap(const MappableGraphComponent& graph, const V& value)
+ : Parent(graph, value) {}
+
+ private:
+ /// \brief Copy constructor.
+ ///
+ /// Copy Constructor.
+ EdgeMap(const EdgeMap& nm) : Parent(nm) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator.
+ template <typename CMap>
+ EdgeMap& operator=(const CMap&) {
+ checkConcept<ReadMap<Edge, V>, CMap>();
+ return *this;
+ }
+
+ };
+
+
+ template <typename _Graph>
+ struct Constraints {
+
+ struct Dummy {
+ int value;
+ Dummy() : value(0) {}
+ Dummy(int _v) : value(_v) {}
+ };
+
+ void constraints() {
+ checkConcept<MappableDigraphComponent<Base>, _Graph>();
+
+ { // 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 >();
+ }
+ }
+
+ const _Graph& graph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for mappable undirected bipartite graphs.
+ ///
+ /// This class describes the interface of mappable undirected
+ /// bipartite graphs. It extends \ref MappableGraphComponent with
+ /// the standard graph map class for red and blue nodes (\c
+ /// RedNodeMap and BlueNodeMap). This concept is part of the
+ /// BpGraph concept.
+ template <typename BAS = BaseBpGraphComponent>
+ class MappableBpGraphComponent : public MappableGraphComponent<BAS> {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+
+ typedef MappableBpGraphComponent BpGraph;
+
+ /// \brief Standard graph map for the red nodes.
+ ///
+ /// Standard graph map for the red nodes.
+ /// It conforms to the ReferenceMap concept.
+ template <typename V>
+ class RedNodeMap : public GraphMap<MappableBpGraphComponent, Node, V> {
+ typedef GraphMap<MappableBpGraphComponent, Node, V> Parent;
+
+ public:
+ /// \brief Construct a new map.
+ ///
+ /// Construct a new map for the graph.
+ explicit RedNodeMap(const MappableBpGraphComponent& graph)
+ : Parent(graph) {}
+
+ /// \brief Construct a new map with default value.
+ ///
+ /// Construct a new map for the graph and initalize the values.
+ RedNodeMap(const MappableBpGraphComponent& graph, const V& value)
+ : Parent(graph, value) {}
+
+ private:
+ /// \brief Copy constructor.
+ ///
+ /// Copy Constructor.
+ RedNodeMap(const RedNodeMap& nm) : Parent(nm) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator.
+ template <typename CMap>
+ RedNodeMap& operator=(const CMap&) {
+ checkConcept<ReadMap<Node, V>, CMap>();
+ return *this;
+ }
+
+ };
+
+ /// \brief Standard graph map for the blue nodes.
+ ///
+ /// Standard graph map for the blue nodes.
+ /// It conforms to the ReferenceMap concept.
+ template <typename V>
+ class BlueNodeMap : public GraphMap<MappableBpGraphComponent, Node, V> {
+ typedef GraphMap<MappableBpGraphComponent, Node, V> Parent;
+
+ public:
+ /// \brief Construct a new map.
+ ///
+ /// Construct a new map for the graph.
+ explicit BlueNodeMap(const MappableBpGraphComponent& graph)
+ : Parent(graph) {}
+
+ /// \brief Construct a new map with default value.
+ ///
+ /// Construct a new map for the graph and initalize the values.
+ BlueNodeMap(const MappableBpGraphComponent& graph, const V& value)
+ : Parent(graph, value) {}
+
+ private:
+ /// \brief Copy constructor.
+ ///
+ /// Copy Constructor.
+ BlueNodeMap(const BlueNodeMap& nm) : Parent(nm) {}
+
+ /// \brief Assignment operator.
+ ///
+ /// Assignment operator.
+ template <typename CMap>
+ BlueNodeMap& operator=(const CMap&) {
+ checkConcept<ReadMap<Node, V>, CMap>();
+ return *this;
+ }
+
+ };
+
+
+ template <typename _BpGraph>
+ struct Constraints {
+
+ struct Dummy {
+ int value;
+ Dummy() : value(0) {}
+ Dummy(int _v) : value(_v) {}
+ };
+
+ void constraints() {
+ checkConcept<MappableGraphComponent<Base>, _BpGraph>();
+
+ { // int map test
+ typedef typename _BpGraph::template RedNodeMap<int>
+ IntRedNodeMap;
+ checkConcept<GraphMap<_BpGraph, typename _BpGraph::RedNode, int>,
+ IntRedNodeMap >();
+ } { // bool map test
+ typedef typename _BpGraph::template RedNodeMap<bool>
+ BoolRedNodeMap;
+ checkConcept<GraphMap<_BpGraph, typename _BpGraph::RedNode, bool>,
+ BoolRedNodeMap >();
+ } { // Dummy map test
+ typedef typename _BpGraph::template RedNodeMap<Dummy>
+ DummyRedNodeMap;
+ checkConcept<GraphMap<_BpGraph, typename _BpGraph::RedNode, Dummy>,
+ DummyRedNodeMap >();
+ }
+
+ { // int map test
+ typedef typename _BpGraph::template BlueNodeMap<int>
+ IntBlueNodeMap;
+ checkConcept<GraphMap<_BpGraph, typename _BpGraph::BlueNode, int>,
+ IntBlueNodeMap >();
+ } { // bool map test
+ typedef typename _BpGraph::template BlueNodeMap<bool>
+ BoolBlueNodeMap;
+ checkConcept<GraphMap<_BpGraph, typename _BpGraph::BlueNode, bool>,
+ BoolBlueNodeMap >();
+ } { // Dummy map test
+ typedef typename _BpGraph::template BlueNodeMap<Dummy>
+ DummyBlueNodeMap;
+ checkConcept<GraphMap<_BpGraph, typename _BpGraph::BlueNode, Dummy>,
+ DummyBlueNodeMap >();
+ }
+ }
+
+ const _BpGraph& bpgraph;
+ };
+ };
+
+ /// \brief Skeleton class for extendable directed graphs.
+ ///
+ /// This class describes the interface of extendable directed graphs.
+ /// It extends \ref BaseDigraphComponent with functions for adding
+ /// nodes and arcs to the digraph.
+ /// This concept requires \ref AlterableDigraphComponent.
+ template <typename BAS = BaseDigraphComponent>
+ class ExtendableDigraphComponent : public BAS {
+ public:
+ typedef BAS Base;
+
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+
+ /// \brief Add a new node to the digraph.
+ ///
+ /// This function adds a new node to the digraph.
+ Node addNode() {
+ return INVALID;
+ }
+
+ /// \brief Add a new arc connecting the given two nodes.
+ ///
+ /// This function adds a new arc connecting the given two nodes
+ /// of the digraph.
+ Arc addArc(const Node&, const Node&) {
+ return INVALID;
+ }
+
+ template <typename _Digraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _Digraph>();
+ typename _Digraph::Node node_a, node_b;
+ node_a = digraph.addNode();
+ node_b = digraph.addNode();
+ typename _Digraph::Arc arc;
+ arc = digraph.addArc(node_a, node_b);
+ }
+
+ _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for extendable undirected graphs.
+ ///
+ /// This class describes the interface of extendable undirected graphs.
+ /// It extends \ref BaseGraphComponent with functions for adding
+ /// nodes and edges to the graph.
+ /// This concept requires \ref AlterableGraphComponent.
+ template <typename BAS = BaseGraphComponent>
+ class ExtendableGraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Edge Edge;
+
+ /// \brief Add a new node to the digraph.
+ ///
+ /// This function adds a new node to the digraph.
+ Node addNode() {
+ return INVALID;
+ }
+
+ /// \brief Add a new edge connecting the given two nodes.
+ ///
+ /// This function adds a new edge connecting the given two nodes
+ /// of the graph.
+ 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;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for extendable undirected bipartite graphs.
+ ///
+ /// This class describes the interface of extendable undirected
+ /// bipartite graphs. It extends \ref BaseGraphComponent with
+ /// functions for adding nodes and edges to the graph. This
+ /// concept requires \ref AlterableBpGraphComponent.
+ template <typename BAS = BaseBpGraphComponent>
+ class ExtendableBpGraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::RedNode RedNode;
+ typedef typename Base::BlueNode BlueNode;
+ typedef typename Base::Edge Edge;
+
+ /// \brief Add a new red node to the digraph.
+ ///
+ /// This function adds a red new node to the digraph.
+ RedNode addRedNode() {
+ return INVALID;
+ }
+
+ /// \brief Add a new blue node to the digraph.
+ ///
+ /// This function adds a blue new node to the digraph.
+ BlueNode addBlueNode() {
+ return INVALID;
+ }
+
+ /// \brief Add a new edge connecting the given two nodes.
+ ///
+ /// This function adds a new edge connecting the given two nodes
+ /// of the graph. The first node has to be a red node, and the
+ /// second one a blue node.
+ Edge addEdge(const RedNode&, const BlueNode&) {
+ return INVALID;
+ }
+ Edge addEdge(const BlueNode&, const RedNode&) {
+ return INVALID;
+ }
+
+ template <typename _BpGraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _BpGraph>();
+ typename _BpGraph::RedNode red_node;
+ typename _BpGraph::BlueNode blue_node;
+ red_node = bpgraph.addRedNode();
+ blue_node = bpgraph.addBlueNode();
+ typename _BpGraph::Edge edge;
+ edge = bpgraph.addEdge(red_node, blue_node);
+ edge = bpgraph.addEdge(blue_node, red_node);
+ }
+
+ _BpGraph& bpgraph;
+ };
+ };
+
+ /// \brief Skeleton class for erasable directed graphs.
+ ///
+ /// This class describes the interface of erasable directed graphs.
+ /// It extends \ref BaseDigraphComponent with functions for removing
+ /// nodes and arcs from the digraph.
+ /// This concept requires \ref AlterableDigraphComponent.
+ template <typename BAS = BaseDigraphComponent>
+ class ErasableDigraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Arc Arc;
+
+ /// \brief Erase a node from the digraph.
+ ///
+ /// This function erases the given node from the digraph and all arcs
+ /// connected to the node.
+ void erase(const Node&) {}
+
+ /// \brief Erase an arc from the digraph.
+ ///
+ /// This function erases the given arc from the digraph.
+ void erase(const Arc&) {}
+
+ template <typename _Digraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _Digraph>();
+ const typename _Digraph::Node node(INVALID);
+ digraph.erase(node);
+ const typename _Digraph::Arc arc(INVALID);
+ digraph.erase(arc);
+ }
+
+ _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for erasable undirected graphs.
+ ///
+ /// This class describes the interface of erasable undirected graphs.
+ /// It extends \ref BaseGraphComponent with functions for removing
+ /// nodes and edges from the graph.
+ /// This concept requires \ref AlterableGraphComponent.
+ template <typename BAS = BaseGraphComponent>
+ class ErasableGraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+ typedef typename Base::Node Node;
+ typedef typename Base::Edge Edge;
+
+ /// \brief Erase a node from the graph.
+ ///
+ /// This function erases the given node from the graph and all edges
+ /// connected to the node.
+ void erase(const Node&) {}
+
+ /// \brief Erase an edge from the digraph.
+ ///
+ /// This function erases the given edge from the digraph.
+ void erase(const Edge&) {}
+
+ template <typename _Graph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _Graph>();
+ const typename _Graph::Node node(INVALID);
+ graph.erase(node);
+ const typename _Graph::Edge edge(INVALID);
+ graph.erase(edge);
+ }
+
+ _Graph& graph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for erasable undirected graphs.
+ ///
+ /// This class describes the interface of erasable undirected
+ /// bipartite graphs. It extends \ref BaseBpGraphComponent with
+ /// functions for removing nodes and edges from the graph. This
+ /// concept requires \ref AlterableBpGraphComponent.
+ template <typename BAS = BaseBpGraphComponent>
+ class ErasableBpGraphComponent : public ErasableGraphComponent<BAS> {};
+
+ /// \brief Skeleton class for clearable directed graphs.
+ ///
+ /// This class describes the interface of clearable directed graphs.
+ /// It extends \ref BaseDigraphComponent with a function for clearing
+ /// the digraph.
+ /// This concept requires \ref AlterableDigraphComponent.
+ template <typename BAS = BaseDigraphComponent>
+ class ClearableDigraphComponent : public BAS {
+ public:
+
+ typedef BAS Base;
+
+ /// \brief Erase all nodes and arcs from the digraph.
+ ///
+ /// This function erases all nodes and arcs from the digraph.
+ void clear() {}
+
+ template <typename _Digraph>
+ struct Constraints {
+ void constraints() {
+ checkConcept<Base, _Digraph>();
+ digraph.clear();
+ }
+
+ _Digraph& digraph;
+ Constraints() {}
+ };
+ };
+
+ /// \brief Skeleton class for clearable undirected graphs.
+ ///
+ /// This class describes the interface of clearable undirected graphs.
+ /// It extends \ref BaseGraphComponent with a function for clearing
+ /// the graph.
+ /// This concept requires \ref AlterableGraphComponent.
+ template <typename BAS = BaseGraphComponent>
+ class ClearableGraphComponent : public ClearableDigraphComponent<BAS> {};
+
+ /// \brief Skeleton class for clearable undirected biparite graphs.
+ ///
+ /// This class describes the interface of clearable undirected
+ /// bipartite graphs. It extends \ref BaseBpGraphComponent with a
+ /// function for clearing the graph. This concept requires \ref
+ /// AlterableBpGraphComponent.
+ template <typename BAS = BaseBpGraphComponent>
+ class ClearableBpGraphComponent : public ClearableGraphComponent<BAS> {};
+
+ }
+
+}
+
+#endif