* This file is a part of LEMON, a generic C++ optimization library
* Copyright (C) 2003-2008
* 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
#ifndef LEMON_CONCEPT_DIGRAPH_H
#define LEMON_CONCEPT_DIGRAPH_H
///\ingroup graph_concepts
///\brief The concept of directed graphs.
#include <lemon/bits/invalid.h>
#include <lemon/bits/utility.h>
#include <lemon/concepts/maps.h>
#include <lemon/concept_check.h>
#include <lemon/concepts/graph_components.h>
/// \ingroup graph_concepts
/// \brief Class describing the concept of directed graphs.
/// This class describes the \ref concept "concept" of the
/// immutable directed digraphs.
/// Note that actual digraph implementation like @ref ListDigraph or
/// @ref SmartDigraph may have several additional functionality.
///Digraphs are \e not copy constructible. Use DigraphCopy() instead.
///Digraphs are \e not copy constructible. Use DigraphCopy() instead.
Digraph(const Digraph &) {};
///\brief Assignment of \ref Digraph "Digraph"s to another ones are
///\e not allowed. Use DigraphCopy() instead.
///Assignment of \ref Digraph "Digraph"s to another ones are
///\e not allowed. Use DigraphCopy() instead.
void operator=(const Digraph &) {}
/// Defalult constructor.
/// Defalult constructor.
/// Class for identifying a node of the digraph
/// This class identifies a node of the digraph. It also serves
/// as a base class of the node iterators,
/// thus they will convert to this type.
/// @warning The default constructor sets the iterator
/// to an undefined value.
/// Invalid constructor \& conversion.
/// This constructor initializes the iterator to be invalid.
/// \sa Invalid for more details.
/// Two iterators are equal if and only if they point to the
/// same object or both are invalid.
bool operator==(Node) const { return true; }
/// \sa operator==(Node n)
bool operator!=(Node) const { return true; }
/// Artificial ordering operator.
/// To allow the use of digraph 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<(Node) const { return false; }
/// This iterator goes through each node.
/// This iterator goes through each node.
/// Its usage is quite simple, for example you can count the number
/// of nodes in digraph \c g of type \c Digraph like this:
/// for (Digraph::NodeIt n(g); n!=INVALID; ++n) ++count;
class NodeIt : public Node {
/// @warning The default constructor sets the iterator
/// to an undefined value.
NodeIt(const NodeIt& n) : Node(n) { }
/// Invalid constructor \& conversion.
/// Initialize the iterator to be invalid.
/// \sa Invalid for more details.
/// Sets the iterator to the first node.
/// Sets the iterator to the first node of \c g.
NodeIt(const Digraph&) { }
/// Node -> NodeIt conversion.
/// Sets the iterator to the node of \c the digraph pointed by
/// the trivial iterator.
/// This feature necessitates that each time we
/// iterate the arc-set, the iteration order is the same.
NodeIt(const Digraph&, const Node&) { }
/// Assign the iterator to the next node.
NodeIt& operator++() { return *this; }
/// Class for identifying an arc of the digraph
/// This class identifies an arc of the digraph. It also serves
/// as a base class of the arc iterators,
/// thus they will convert to this type.
/// @warning The default constructor sets the iterator
/// to an undefined value.
/// Initialize the iterator to be invalid.
/// Initialize the iterator to be invalid.
/// Two iterators are equal if and only if they point to the
/// same object or both are invalid.
bool operator==(Arc) const { return true; }
/// \sa operator==(Arc n)
bool operator!=(Arc) const { return true; }
/// Artificial ordering operator.
/// To allow the use of digraph 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<(Arc) const { return false; }
/// This iterator goes trough the outgoing arcs of a node.
/// This iterator goes trough the \e outgoing arcs of a certain node
/// Its usage is quite simple, for example you can count the number
/// of outgoing arcs of a node \c n
/// in digraph \c g of type \c Digraph as follows.
/// for (Digraph::OutArcIt e(g, n); e!=INVALID; ++e) ++count;
class OutArcIt : public Arc {
/// @warning The default constructor sets the iterator
/// to an undefined value.
OutArcIt(const OutArcIt& e) : Arc(e) { }
/// Initialize the iterator to be invalid.
/// Initialize the iterator to be invalid.
/// This constructor sets the iterator to the first outgoing arc.
/// This constructor sets the iterator to the first outgoing arc of
OutArcIt(const Digraph&, const Node&) { }
/// Arc -> OutArcIt conversion
/// Sets the iterator to the value of the trivial iterator.
/// This feature necessitates that each time we
/// iterate the arc-set, the iteration order is the same.
OutArcIt(const Digraph&, const Arc&) { }
/// Assign the iterator to the next
/// outgoing arc of the corresponding node.
OutArcIt& operator++() { return *this; }
/// This iterator goes trough the incoming arcs of a node.
/// This iterator goes trough the \e incoming arcs of a certain node
/// Its usage is quite simple, for example you can count the number
/// of outgoing arcs of a node \c n
/// in digraph \c g of type \c Digraph as follows.
/// for(Digraph::InArcIt e(g, n); e!=INVALID; ++e) ++count;
class InArcIt : public Arc {
/// @warning The default constructor sets the iterator
/// to an undefined value.
InArcIt(const InArcIt& e) : Arc(e) { }
/// Initialize the iterator to be invalid.
/// Initialize the iterator to be invalid.
/// This constructor sets the iterator to first incoming arc.
/// This constructor set the iterator to the first incoming arc of
InArcIt(const Digraph&, const Node&) { }
/// Arc -> InArcIt conversion
/// Sets the iterator to the value of the trivial iterator \c e.
/// This feature necessitates that each time we
/// iterate the arc-set, the iteration order is the same.
InArcIt(const Digraph&, const Arc&) { }
/// Assign the iterator to the next inarc of the corresponding node.
InArcIt& operator++() { return *this; }
/// This iterator goes through each arc.
/// This iterator goes through each arc of a digraph.
/// Its usage is quite simple, for example you can count the number
/// of arcs in a digraph \c g of type \c Digraph as follows:
/// for(Digraph::ArcIt e(g); e!=INVALID; ++e) ++count;
class ArcIt : public Arc {
/// @warning The default constructor sets the iterator
/// to an undefined value.
ArcIt(const ArcIt& e) : Arc(e) { }
/// Initialize the iterator to be invalid.
/// Initialize the iterator to be invalid.
/// This constructor sets the iterator to the first arc.
/// This constructor sets the iterator to the first arc of \c g.
ArcIt(const Digraph& g) { ignore_unused_variable_warning(g); }
/// Arc -> ArcIt conversion
/// Sets the iterator to the value of the trivial iterator \c e.
/// This feature necessitates that each time we
/// iterate the arc-set, the iteration order is the same.
ArcIt(const Digraph&, const Arc&) { }
/// Assign the iterator to the next arc.
ArcIt& operator++() { return *this; }
///Gives back the target node of an arc.
///Gives back the target node of an arc.
Node target(Arc) const { return INVALID; }
///Gives back the source node of an arc.
///Gives back the source node of an arc.
Node source(Arc) const { return INVALID; }
/// \brief Returns the ID of the node.
int id(Node) const { return -1; }
/// \brief Returns the ID of the arc.
int id(Arc) const { return -1; }
/// \brief Returns the node with the given ID.
/// \pre The argument should be a valid node ID in the graph.
Node nodeFromId(int) const { return INVALID; }
/// \brief Returns the arc with the given ID.
/// \pre The argument should be a valid arc ID in the graph.
Arc arcFromId(int) const { return INVALID; }
/// \brief Returns an upper bound on the node IDs.
int maxNodeId() const { return -1; }
/// \brief Returns an upper bound on the arc IDs.
int maxArcId() const { return -1; }
void first(Node&) const {}
void next(Node&) const {}
void first(Arc&) const {}
void firstIn(Arc&, const Node&) const {}
void nextIn(Arc&) const {}
void firstOut(Arc&, const Node&) const {}
void nextOut(Arc&) const {}
// The second parameter is dummy.
Node fromId(int, Node) const { return INVALID; }
// The second parameter is dummy.
Arc fromId(int, Arc) const { return INVALID; }
int maxId(Node) const { return -1; }
int maxId(Arc) const { return -1; }
/// \brief The base node of the iterator.
/// Gives back the base node of the iterator.
/// It is always the target of the pointed arc.
Node baseNode(const InArcIt&) 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 arc.
Node runningNode(const InArcIt&) 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 arc.
Node baseNode(const OutArcIt&) 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 arc.
Node runningNode(const OutArcIt&) const { return INVALID; }
/// \brief The opposite node on the given arc.
/// Gives back the opposite node on the given arc.
Node oppositeNode(const Node&, const Arc&) const { return INVALID; }
/// \brief Read write map of the nodes to type \c T.
/// ReadWrite map of the nodes to type \c T.
class NodeMap : public ReadWriteMap< Node, T > {
NodeMap(const Digraph&) { }
NodeMap(const Digraph&, T) { }
NodeMap(const NodeMap& nm) : ReadWriteMap< Node, T >(nm) { }
NodeMap& operator=(const CMap&) {
checkConcept<ReadMap<Node, T>, CMap>();
/// \brief Read write map of the arcs to type \c T.
/// Reference map of the arcs to type \c T.
class ArcMap : public ReadWriteMap<Arc,T> {
ArcMap(const Digraph&) { }
ArcMap(const Digraph&, T) { }
ArcMap(const ArcMap& em) : ReadWriteMap<Arc,T>(em) { }
ArcMap& operator=(const CMap&) {
checkConcept<ReadMap<Arc, T>, CMap>();
template <typename _Digraph>
checkConcept<IterableDigraphComponent<>, _Digraph>();
checkConcept<IDableDigraphComponent<>, _Digraph>();
checkConcept<MappableDigraphComponent<>, _Digraph>();
#endif // LEMON_CONCEPT_DIGRAPH_H