src/lemon/concept/graph.h
changeset 959 c80ef5912903
child 961 289d80c33f04
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/src/lemon/concept/graph.h	Thu Nov 04 20:24:59 2004 +0000
     1.3 @@ -0,0 +1,918 @@
     1.4 +/* -*- C++ -*-
     1.5 + * src/lemon/concept/graph.h - Part of LEMON, a generic C++ optimization library
     1.6 + *
     1.7 + * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     1.8 + * (Egervary Combinatorial Optimization Research Group, EGRES).
     1.9 + *
    1.10 + * Permission to use, modify and distribute this software is granted
    1.11 + * provided that this copyright notice appears in all copies. For
    1.12 + * precise terms see the accompanying LICENSE file.
    1.13 + *
    1.14 + * This software is provided "AS IS" with no warranty of any kind,
    1.15 + * express or implied, and with no claim as to its suitability for any
    1.16 + * purpose.
    1.17 + *
    1.18 + */
    1.19 +
    1.20 +#ifndef LEMON_CONCEPT_GRAPH_H
    1.21 +#define LEMON_CONCEPT_GRAPH_H
    1.22 +
    1.23 +///\ingroup concept
    1.24 +///\file
    1.25 +///\brief Declaration of Graph.
    1.26 +
    1.27 +#include <lemon/invalid.h>
    1.28 +#include <lemon/concept/maps.h>
    1.29 +#include <lemon/concept_check.h>
    1.30 +#include <lemon/concept/graph_component.h>
    1.31 +
    1.32 +namespace lemon {
    1.33 +  namespace concept {
    1.34 +    
    1.35 +    /// \addtogroup concept
    1.36 +    /// @{
    1.37 +
    1.38 +//     /// An empty static graph class.
    1.39 +  
    1.40 +//     /// This class provides all the common features of a graph structure,
    1.41 +//     /// however completely without implementations and real data structures
    1.42 +//     /// behind the interface.
    1.43 +//     /// All graph algorithms should compile with this class, but it will not
    1.44 +//     /// run properly, of course.
    1.45 +//     ///
    1.46 +//     /// It can be used for checking the interface compatibility,
    1.47 +//     /// or it can serve as a skeleton of a new graph structure.
    1.48 +//     /// 
    1.49 +//     /// Also, you will find here the full documentation of a certain graph
    1.50 +//     /// feature, the documentation of a real graph imlementation
    1.51 +//     /// like @ref ListGraph or
    1.52 +//     /// @ref SmartGraph will just refer to this structure.
    1.53 +//     ///
    1.54 +//     /// \todo A pages describing the concept of concept description would
    1.55 +//     /// be nice.
    1.56 +//     class StaticGraph
    1.57 +//     {
    1.58 +//     public:
    1.59 +//       /// Defalult constructor.
    1.60 +
    1.61 +//       /// Defalult constructor.
    1.62 +//       ///
    1.63 +//       StaticGraph() { }
    1.64 +//       ///Copy consructor.
    1.65 +
    1.66 +// //       ///\todo It is not clear, what we expect from a copy constructor.
    1.67 +// //       ///E.g. How to assign the nodes/edges to each other? What about maps?
    1.68 +// //       StaticGraph(const StaticGraph& g) { }
    1.69 +
    1.70 +//       /// The base type of node iterators, 
    1.71 +//       /// or in other words, the trivial node iterator.
    1.72 +
    1.73 +//       /// This is the base type of each node iterator,
    1.74 +//       /// thus each kind of node iterator converts to this.
    1.75 +//       /// More precisely each kind of node iterator should be inherited 
    1.76 +//       /// from the trivial node iterator.
    1.77 +//       class Node {
    1.78 +//       public:
    1.79 +// 	/// Default constructor
    1.80 +
    1.81 +// 	/// @warning The default constructor sets the iterator
    1.82 +// 	/// to an undefined value.
    1.83 +// 	Node() { }
    1.84 +// 	/// Copy constructor.
    1.85 +
    1.86 +// 	/// Copy constructor.
    1.87 +// 	///
    1.88 +// 	Node(const Node&) { }
    1.89 +
    1.90 +// 	/// Invalid constructor \& conversion.
    1.91 +
    1.92 +// 	/// This constructor initializes the iterator to be invalid.
    1.93 +// 	/// \sa Invalid for more details.
    1.94 +// 	Node(Invalid) { }
    1.95 +// 	/// Equality operator
    1.96 +
    1.97 +// 	/// Two iterators are equal if and only if they point to the
    1.98 +// 	/// same object or both are invalid.
    1.99 +// 	bool operator==(Node) const { return true; }
   1.100 +
   1.101 +// 	/// Inequality operator
   1.102 +	
   1.103 +// 	/// \sa operator==(Node n)
   1.104 +// 	///
   1.105 +// 	bool operator!=(Node) const { return true; }
   1.106 +
   1.107 +//  	///Comparison operator.
   1.108 +
   1.109 +// 	///This is a strict ordering between the nodes.
   1.110 +// 	///
   1.111 +// 	///This ordering can be different from the order in which NodeIt
   1.112 +// 	///goes through the nodes.
   1.113 +// 	///\todo Possibly we don't need it.
   1.114 +// 	bool operator<(Node) const { return true; }
   1.115 +//       };
   1.116 +    
   1.117 +//       /// This iterator goes through each node.
   1.118 +
   1.119 +//       /// This iterator goes through each node.
   1.120 +//       /// Its usage is quite simple, for example you can count the number
   1.121 +//       /// of nodes in graph \c g of type \c Graph like this:
   1.122 +//       /// \code
   1.123 +//       /// int count=0;
   1.124 +//       /// for (Graph::NodeIt n(g); n!=INVALID ++n) ++count;
   1.125 +//       /// \endcode
   1.126 +//       class NodeIt : public Node {
   1.127 +//       public:
   1.128 +// 	/// Default constructor
   1.129 +
   1.130 +// 	/// @warning The default constructor sets the iterator
   1.131 +// 	/// to an undefined value.
   1.132 +// 	NodeIt() { }
   1.133 +// 	/// Copy constructor.
   1.134 +	
   1.135 +// 	/// Copy constructor.
   1.136 +// 	///
   1.137 +// 	NodeIt(const NodeIt&) { }
   1.138 +// 	/// Invalid constructor \& conversion.
   1.139 +
   1.140 +// 	/// Initialize the iterator to be invalid.
   1.141 +// 	/// \sa Invalid for more details.
   1.142 +// 	NodeIt(Invalid) { }
   1.143 +// 	/// Sets the iterator to the first node.
   1.144 +
   1.145 +// 	/// Sets the iterator to the first node of \c g.
   1.146 +// 	///
   1.147 +// 	NodeIt(const StaticGraph& g) { }
   1.148 +// 	/// Node -> NodeIt conversion.
   1.149 +
   1.150 +// 	/// Sets the iterator to the node of \c g pointed by the trivial 
   1.151 +// 	/// iterator n.
   1.152 +// 	/// This feature necessitates that each time we 
   1.153 +// 	/// iterate the edge-set, the iteration order is the same.
   1.154 +// 	NodeIt(const StaticGraph& g, const Node& n) { }
   1.155 +// 	/// Next node.
   1.156 +
   1.157 +// 	/// Assign the iterator to the next node.
   1.158 +// 	///
   1.159 +// 	NodeIt& operator++() { return *this; }
   1.160 +//       };
   1.161 +    
   1.162 +    
   1.163 +//       /// The base type of the edge iterators.
   1.164 +
   1.165 +//       /// The base type of the edge iterators.
   1.166 +//       ///
   1.167 +//       class Edge {
   1.168 +//       public:
   1.169 +// 	/// Default constructor
   1.170 +
   1.171 +// 	/// @warning The default constructor sets the iterator
   1.172 +// 	/// to an undefined value.
   1.173 +// 	Edge() { }
   1.174 +// 	/// Copy constructor.
   1.175 +
   1.176 +// 	/// Copy constructor.
   1.177 +// 	///
   1.178 +// 	Edge(const Edge&) { }
   1.179 +// 	/// Initialize the iterator to be invalid.
   1.180 +
   1.181 +// 	/// Initialize the iterator to be invalid.
   1.182 +// 	///
   1.183 +// 	Edge(Invalid) { }
   1.184 +// 	/// Equality operator
   1.185 +
   1.186 +// 	/// Two iterators are equal if and only if they point to the
   1.187 +// 	/// same object or both are invalid.
   1.188 +// 	bool operator==(Edge) const { return true; }
   1.189 +// 	/// Inequality operator
   1.190 +
   1.191 +// 	/// \sa operator==(Node n)
   1.192 +// 	///
   1.193 +// 	bool operator!=(Edge) const { return true; }
   1.194 +//  	///Comparison operator.
   1.195 +
   1.196 +// 	///This is a strict ordering between the nodes.
   1.197 +// 	///
   1.198 +// 	///This ordering can be different from the order in which NodeIt
   1.199 +// 	///goes through the nodes.
   1.200 +// 	///\todo Possibly we don't need it.
   1.201 +//  	bool operator<(Edge) const { return true; }
   1.202 +//       };
   1.203 +    
   1.204 +//       /// This iterator goes trough the outgoing edges of a node.
   1.205 +
   1.206 +//       /// This iterator goes trough the \e outgoing edges of a certain node
   1.207 +//       /// of a graph.
   1.208 +//       /// Its usage is quite simple, for example you can count the number
   1.209 +//       /// of outgoing edges of a node \c n
   1.210 +//       /// in graph \c g of type \c Graph as follows.
   1.211 +//       /// \code
   1.212 +//       /// int count=0;
   1.213 +//       /// for (Graph::OutEdgeIt e(g, n); e!=INVALID; ++e) ++count;
   1.214 +//       /// \endcode
   1.215 +    
   1.216 +//       class OutEdgeIt : public Edge {
   1.217 +//       public:
   1.218 +// 	/// Default constructor
   1.219 +
   1.220 +// 	/// @warning The default constructor sets the iterator
   1.221 +// 	/// to an undefined value.
   1.222 +// 	OutEdgeIt() { }
   1.223 +// 	/// Copy constructor.
   1.224 +
   1.225 +// 	/// Copy constructor.
   1.226 +// 	///
   1.227 +// 	OutEdgeIt(const OutEdgeIt&) { }
   1.228 +// 	/// Initialize the iterator to be invalid.
   1.229 +
   1.230 +// 	/// Initialize the iterator to be invalid.
   1.231 +// 	///
   1.232 +// 	OutEdgeIt(Invalid) { }
   1.233 +// 	/// This constructor sets the iterator to first outgoing edge.
   1.234 +    
   1.235 +// 	/// This constructor set the iterator to the first outgoing edge of
   1.236 +// 	/// node
   1.237 +// 	///@param n the node
   1.238 +// 	///@param g the graph
   1.239 +// 	OutEdgeIt(const StaticGraph& g, const Node& n) { }
   1.240 +// 	/// Edge -> OutEdgeIt conversion
   1.241 +
   1.242 +// 	/// Sets the iterator to the value of the trivial iterator \c e.
   1.243 +// 	/// This feature necessitates that each time we 
   1.244 +// 	/// iterate the edge-set, the iteration order is the same.
   1.245 +// 	OutEdgeIt(const StaticGraph& g, const Edge& e) { }
   1.246 +// 	///Next outgoing edge
   1.247 +	
   1.248 +// 	/// Assign the iterator to the next 
   1.249 +// 	/// outgoing edge of the corresponding node.
   1.250 +// 	OutEdgeIt& operator++() { return *this; }
   1.251 +//       };
   1.252 +
   1.253 +//       /// This iterator goes trough the incoming edges of a node.
   1.254 +
   1.255 +//       /// This iterator goes trough the \e incoming edges of a certain node
   1.256 +//       /// of a graph.
   1.257 +//       /// Its usage is quite simple, for example you can count the number
   1.258 +//       /// of outgoing edges of a node \c n
   1.259 +//       /// in graph \c g of type \c Graph as follows.
   1.260 +//       /// \code
   1.261 +//       /// int count=0;
   1.262 +//       /// for(Graph::InEdgeIt e(g, n); e!=INVALID; ++e) ++count;
   1.263 +//       /// \endcode
   1.264 +
   1.265 +//       class InEdgeIt : public Edge {
   1.266 +//       public:
   1.267 +// 	/// Default constructor
   1.268 +
   1.269 +// 	/// @warning The default constructor sets the iterator
   1.270 +// 	/// to an undefined value.
   1.271 +// 	InEdgeIt() { }
   1.272 +// 	/// Copy constructor.
   1.273 +
   1.274 +// 	/// Copy constructor.
   1.275 +// 	///
   1.276 +// 	InEdgeIt(const InEdgeIt&) { }
   1.277 +// 	/// Initialize the iterator to be invalid.
   1.278 +
   1.279 +// 	/// Initialize the iterator to be invalid.
   1.280 +// 	///
   1.281 +// 	InEdgeIt(Invalid) { }
   1.282 +// 	/// This constructor sets the iterator to first incoming edge.
   1.283 +    
   1.284 +// 	/// This constructor set the iterator to the first incoming edge of
   1.285 +// 	/// node
   1.286 +// 	///@param n the node
   1.287 +// 	///@param g the graph
   1.288 +// 	InEdgeIt(const StaticGraph& g, const Node& n) { }
   1.289 +// 	/// Edge -> InEdgeIt conversion
   1.290 +
   1.291 +// 	/// Sets the iterator to the value of the trivial iterator \c e.
   1.292 +// 	/// This feature necessitates that each time we 
   1.293 +// 	/// iterate the edge-set, the iteration order is the same.
   1.294 +// 	InEdgeIt(const StaticGraph& g, const Edge& n) { }
   1.295 +// 	/// Next incoming edge
   1.296 +
   1.297 +// 	/// Assign the iterator to the next inedge of the corresponding node.
   1.298 +// 	///
   1.299 +// 	InEdgeIt& operator++() { return *this; }
   1.300 +//       };
   1.301 +//       /// This iterator goes through each edge.
   1.302 +
   1.303 +//       /// This iterator goes through each edge of a graph.
   1.304 +//       /// Its usage is quite simple, for example you can count the number
   1.305 +//       /// of edges in a graph \c g of type \c Graph as follows:
   1.306 +//       /// \code
   1.307 +//       /// int count=0;
   1.308 +//       /// for(Graph::EdgeIt e(g); e!=INVALID; ++e) ++count;
   1.309 +//       /// \endcode
   1.310 +//       class EdgeIt : public Edge {
   1.311 +//       public:
   1.312 +// 	/// Default constructor
   1.313 +
   1.314 +// 	/// @warning The default constructor sets the iterator
   1.315 +// 	/// to an undefined value.
   1.316 +// 	EdgeIt() { }
   1.317 +// 	/// Copy constructor.
   1.318 +
   1.319 +// 	/// Copy constructor.
   1.320 +// 	///
   1.321 +// 	EdgeIt(const EdgeIt&) { }
   1.322 +// 	/// Initialize the iterator to be invalid.
   1.323 +
   1.324 +// 	/// Initialize the iterator to be invalid.
   1.325 +// 	///
   1.326 +// 	EdgeIt(Invalid) { }
   1.327 +// 	/// This constructor sets the iterator to first edge.
   1.328 +    
   1.329 +// 	/// This constructor set the iterator to the first edge of
   1.330 +// 	/// node
   1.331 +// 	///@param g the graph
   1.332 +// 	EdgeIt(const StaticGraph& g) { }
   1.333 +// 	/// Edge -> EdgeIt conversion
   1.334 +
   1.335 +// 	/// Sets the iterator to the value of the trivial iterator \c e.
   1.336 +// 	/// This feature necessitates that each time we 
   1.337 +// 	/// iterate the edge-set, the iteration order is the same.
   1.338 +// 	EdgeIt(const StaticGraph&, const Edge&) { } 
   1.339 +//     	///Next edge
   1.340 +	
   1.341 +// 	/// Assign the iterator to the next 
   1.342 +// 	/// edge of the corresponding node.
   1.343 +// 	EdgeIt& operator++() { return *this; }
   1.344 +//       };
   1.345 +
   1.346 +//       /// First node of the graph.
   1.347 +
   1.348 +//       /// \retval i the first node.
   1.349 +//       /// \return the first node.
   1.350 +//       ///
   1.351 +//       NodeIt& first(NodeIt& i) const { return i; }
   1.352 +
   1.353 +//       /// The first incoming edge.
   1.354 +
   1.355 +//       /// The first incoming edge.
   1.356 +//       ///
   1.357 +//       InEdgeIt& first(InEdgeIt &i, Node) const { return i; }
   1.358 +//       /// The first outgoing edge.
   1.359 +
   1.360 +//       /// The first outgoing edge.
   1.361 +//       ///
   1.362 +//       OutEdgeIt& first(OutEdgeIt& i, Node) const { return i; }
   1.363 +//       /// The first edge of the Graph.
   1.364 +
   1.365 +//       /// The first edge of the Graph.
   1.366 +//       ///
   1.367 +//       EdgeIt& first(EdgeIt& i) const { return i; }
   1.368 +
   1.369 +//       ///Gives back the head node of an edge.
   1.370 +
   1.371 +//       ///Gives back the head node of an edge.
   1.372 +//       ///
   1.373 +//       Node head(Edge) const { return INVALID; }
   1.374 +//       ///Gives back the tail node of an edge.
   1.375 +
   1.376 +//       ///Gives back the tail node of an edge.
   1.377 +//       ///
   1.378 +//       Node tail(Edge) const { return INVALID; }
   1.379 +  
   1.380 +//       ///Gives back the \e id of a node.
   1.381 +
   1.382 +//       ///\warning Not all graph structures provide this feature.
   1.383 +//       ///
   1.384 +//       ///\todo Should each graph provide \c id?
   1.385 +//       int id(const Node&) const { return 0; }
   1.386 +//       ///Gives back the \e id of an edge.
   1.387 +
   1.388 +//       ///\warning Not all graph structures provide this feature.
   1.389 +//       ///
   1.390 +//       ///\todo Should each graph provide \c id?
   1.391 +//       int id(const Edge&) const { return 0; }
   1.392 +
   1.393 +//       ///\e
   1.394 +      
   1.395 +//       ///\todo Should it be in the concept?
   1.396 +//       ///
   1.397 +//       int nodeNum() const { return 0; }
   1.398 +//       ///\e
   1.399 +
   1.400 +//       ///\todo Should it be in the concept?
   1.401 +//       ///
   1.402 +//       int edgeNum() const { return 0; }
   1.403 +
   1.404 +
   1.405 +//       ///Reference map of the nodes to type \c T.
   1.406 +
   1.407 +//       /// \ingroup concept
   1.408 +//       ///Reference map of the nodes to type \c T.
   1.409 +//       /// \sa Reference
   1.410 +//       /// \warning Making maps that can handle bool type (NodeMap<bool>)
   1.411 +//       /// needs some extra attention!
   1.412 +//       template<class T> class NodeMap : public ReferenceMap< Node, T >
   1.413 +//       {
   1.414 +//       public:
   1.415 +
   1.416 +// 	///\e
   1.417 +// 	NodeMap(const StaticGraph&) { }
   1.418 +// 	///\e
   1.419 +// 	NodeMap(const StaticGraph&, T) { }
   1.420 +
   1.421 +// 	///Copy constructor
   1.422 +// 	template<typename TT> NodeMap(const NodeMap<TT>&) { }
   1.423 +// 	///Assignment operator
   1.424 +// 	template<typename TT> NodeMap& operator=(const NodeMap<TT>&)
   1.425 +// 	{ return *this; }
   1.426 +//       };
   1.427 +
   1.428 +//       ///Reference map of the edges to type \c T.
   1.429 +
   1.430 +//       /// \ingroup concept
   1.431 +//       ///Reference map of the edges to type \c T.
   1.432 +//       /// \sa Reference
   1.433 +//       /// \warning Making maps that can handle bool type (EdgeMap<bool>)
   1.434 +//       /// needs some extra attention!
   1.435 +//       template<class T> class EdgeMap
   1.436 +// 	: public ReferenceMap<Edge,T>
   1.437 +//       {
   1.438 +//       public:
   1.439 +
   1.440 +// 	///\e
   1.441 +// 	EdgeMap(const StaticGraph&) { }
   1.442 +// 	///\e
   1.443 +// 	EdgeMap(const StaticGraph&, T) { }
   1.444 +    
   1.445 +// 	///Copy constructor
   1.446 +// 	template<typename TT> EdgeMap(const EdgeMap<TT>&) { }
   1.447 +// 	///Assignment operator
   1.448 +// 	template<typename TT> EdgeMap &operator=(const EdgeMap<TT>&)
   1.449 +// 	{ return *this; }
   1.450 +//       };
   1.451 +//     };
   1.452 +
   1.453 +//     struct DummyType {
   1.454 +//       int value;
   1.455 +//       DummyType() {}
   1.456 +//       DummyType(int p) : value(p) {}
   1.457 +//       DummyType& operator=(int p) { value = p; return *this;}
   1.458 +//     };
   1.459 +    
   1.460 +//     ///\brief Checks whether \c G meets the
   1.461 +//     ///\ref lemon::concept::StaticGraph "StaticGraph" concept
   1.462 +//     template<class Graph> void checkCompileStaticGraph(Graph &G) 
   1.463 +//     {
   1.464 +//       typedef typename Graph::Node Node;
   1.465 +//       typedef typename Graph::NodeIt NodeIt;
   1.466 +//       typedef typename Graph::Edge Edge;
   1.467 +//       typedef typename Graph::EdgeIt EdgeIt;
   1.468 +//       typedef typename Graph::InEdgeIt InEdgeIt;
   1.469 +//       typedef typename Graph::OutEdgeIt OutEdgeIt;
   1.470 +  
   1.471 +//       {
   1.472 +// 	Node i; Node j(i); Node k(INVALID);
   1.473 +// 	i=j;
   1.474 +// 	bool b; b=true;
   1.475 +// 	b=(i==INVALID); b=(i!=INVALID);
   1.476 +// 	b=(i==j); b=(i!=j); b=(i<j);
   1.477 +//       }
   1.478 +//       {
   1.479 +// 	NodeIt i; NodeIt j(i); NodeIt k(INVALID); NodeIt l(G);
   1.480 +// 	i=j;
   1.481 +// 	j=G.first(i);
   1.482 +// 	j=++i;
   1.483 +// 	bool b; b=true;
   1.484 +// 	b=(i==INVALID); b=(i!=INVALID);
   1.485 +// 	Node n(i);
   1.486 +// 	n=i;
   1.487 +// 	b=(i==j); b=(i!=j); b=(i<j);
   1.488 +// 	//Node ->NodeIt conversion
   1.489 +// 	NodeIt ni(G,n);
   1.490 +//       }
   1.491 +//       {
   1.492 +// 	Edge i; Edge j(i); Edge k(INVALID);
   1.493 +// 	i=j;
   1.494 +// 	bool b; b=true;
   1.495 +// 	b=(i==INVALID); b=(i!=INVALID);
   1.496 +// 	b=(i==j); b=(i!=j); b=(i<j);
   1.497 +//       }
   1.498 +//       {
   1.499 +// 	EdgeIt i; EdgeIt j(i); EdgeIt k(INVALID); EdgeIt l(G);
   1.500 +// 	i=j;
   1.501 +// 	j=G.first(i);
   1.502 +// 	j=++i;
   1.503 +// 	bool b; b=true;
   1.504 +// 	b=(i==INVALID); b=(i!=INVALID);
   1.505 +// 	Edge e(i);
   1.506 +// 	e=i;
   1.507 +// 	b=(i==j); b=(i!=j); b=(i<j);
   1.508 +// 	//Edge ->EdgeIt conversion
   1.509 +// 	EdgeIt ei(G,e);
   1.510 +//       }
   1.511 +//       {
   1.512 +// 	Node n;
   1.513 +// 	InEdgeIt i; InEdgeIt j(i); InEdgeIt k(INVALID); InEdgeIt l(G,n);
   1.514 +// 	i=j;
   1.515 +// 	j=G.first(i,n);
   1.516 +// 	j=++i;
   1.517 +// 	bool b; b=true;
   1.518 +// 	b=(i==INVALID); b=(i!=INVALID);
   1.519 +// 	Edge e(i);
   1.520 +// 	e=i;
   1.521 +// 	b=(i==j); b=(i!=j); b=(i<j);
   1.522 +// 	//Edge ->InEdgeIt conversion
   1.523 +// 	InEdgeIt ei(G,e);
   1.524 +//       }
   1.525 +//       {
   1.526 +// 	Node n;
   1.527 +// 	OutEdgeIt i; OutEdgeIt j(i); OutEdgeIt k(INVALID); OutEdgeIt l(G,n);
   1.528 +// 	i=j;
   1.529 +// 	j=G.first(i,n);
   1.530 +// 	j=++i;
   1.531 +// 	bool b; b=true;
   1.532 +// 	b=(i==INVALID); b=(i!=INVALID);
   1.533 +// 	Edge e(i);
   1.534 +// 	e=i;
   1.535 +// 	b=(i==j); b=(i!=j); b=(i<j);
   1.536 +// 	//Edge ->OutEdgeIt conversion
   1.537 +// 	OutEdgeIt ei(G,e);
   1.538 +//       }
   1.539 +//       {
   1.540 +// 	Node n,m;
   1.541 +// 	n=m=INVALID;
   1.542 +// 	Edge e;
   1.543 +// 	e=INVALID;
   1.544 +// 	n=G.tail(e);
   1.545 +// 	n=G.head(e);
   1.546 +//       }
   1.547 +//       // id tests
   1.548 +//       { Node n; int i=G.id(n); i=i; }
   1.549 +//       { Edge e; int i=G.id(e); i=i; }
   1.550 +//       //NodeMap tests
   1.551 +//       {
   1.552 +// 	Node k;
   1.553 +// 	typename Graph::template NodeMap<int> m(G);
   1.554 +// 	//Const map
   1.555 +// 	typename Graph::template NodeMap<int> const &cm = m;
   1.556 +// 	//Inicialize with default value
   1.557 +// 	typename Graph::template NodeMap<int> mdef(G,12);
   1.558 +// 	//Copy
   1.559 +// 	typename Graph::template NodeMap<int> mm(cm);
   1.560 +// 	//Copy from another type
   1.561 +// 	typename Graph::template NodeMap<double> dm(cm);
   1.562 +// 	//Copy to more complex type
   1.563 +// 	typename Graph::template NodeMap<DummyType> em(cm);
   1.564 +// 	int v;
   1.565 +// 	v=m[k]; m[k]=v; m.set(k,v);
   1.566 +// 	v=cm[k];
   1.567 +    
   1.568 +// 	m=cm;  
   1.569 +// 	dm=cm; //Copy from another type  
   1.570 +// 	em=cm; //Copy to more complex type
   1.571 +// 	{
   1.572 +// 	  //Check the typedef's
   1.573 +// 	  typename Graph::template NodeMap<int>::ValueType val;
   1.574 +// 	  val=1;
   1.575 +// 	  typename Graph::template NodeMap<int>::KeyType key;
   1.576 +// 	  key = typename Graph::NodeIt(G);
   1.577 +// 	}
   1.578 +//       }  
   1.579 +//       { //bool NodeMap
   1.580 +// 	Node k;
   1.581 +// 	typename Graph::template NodeMap<bool> m(G);
   1.582 +// 	typename Graph::template NodeMap<bool> const &cm = m;  //Const map
   1.583 +// 	//Inicialize with default value
   1.584 +// 	typename Graph::template NodeMap<bool> mdef(G,12);
   1.585 +// 	typename Graph::template NodeMap<bool> mm(cm);   //Copy
   1.586 +// 	typename Graph::template NodeMap<int> dm(cm); //Copy from another type
   1.587 +// 	bool v;
   1.588 +// 	v=m[k]; m[k]=v; m.set(k,v);
   1.589 +// 	v=cm[k];
   1.590 +    
   1.591 +// 	m=cm;  
   1.592 +// 	dm=cm; //Copy from another type
   1.593 +// 	m=dm; //Copy to another type
   1.594 +
   1.595 +// 	{
   1.596 +// 	  //Check the typedef's
   1.597 +// 	  typename Graph::template NodeMap<bool>::ValueType val;
   1.598 +// 	  val=true;
   1.599 +// 	  typename Graph::template NodeMap<bool>::KeyType key;
   1.600 +// 	  key= typename Graph::NodeIt(G);
   1.601 +// 	}
   1.602 +//       }
   1.603 +//       //EdgeMap tests
   1.604 +//       {
   1.605 +// 	Edge k;
   1.606 +// 	typename Graph::template EdgeMap<int> m(G);
   1.607 +// 	typename Graph::template EdgeMap<int> const &cm = m;  //Const map
   1.608 +// 	//Inicialize with default value
   1.609 +// 	typename Graph::template EdgeMap<int> mdef(G,12);
   1.610 +// 	typename Graph::template EdgeMap<int> mm(cm);   //Copy
   1.611 +// 	typename Graph::template EdgeMap<double> dm(cm);//Copy from another type
   1.612 +// 	int v;
   1.613 +// 	v=m[k]; m[k]=v; m.set(k,v);
   1.614 +// 	v=cm[k];
   1.615 +    
   1.616 +// 	m=cm;  
   1.617 +// 	dm=cm; //Copy from another type
   1.618 +// 	{
   1.619 +// 	  //Check the typedef's
   1.620 +// 	  typename Graph::template EdgeMap<int>::ValueType val;
   1.621 +// 	  val=1;
   1.622 +// 	  typename Graph::template EdgeMap<int>::KeyType key;
   1.623 +// 	  key= typename Graph::EdgeIt(G);
   1.624 +// 	}
   1.625 +//       }  
   1.626 +//       { //bool EdgeMap
   1.627 +// 	Edge k;
   1.628 +// 	typename Graph::template EdgeMap<bool> m(G);
   1.629 +// 	typename Graph::template EdgeMap<bool> const &cm = m;  //Const map
   1.630 +// 	//Inicialize with default value
   1.631 +// 	typename Graph::template EdgeMap<bool> mdef(G,12);
   1.632 +// 	typename Graph::template EdgeMap<bool> mm(cm);   //Copy
   1.633 +// 	typename Graph::template EdgeMap<int> dm(cm); //Copy from another type
   1.634 +// 	bool v;
   1.635 +// 	v=m[k]; m[k]=v; m.set(k,v);
   1.636 +// 	v=cm[k];
   1.637 +    
   1.638 +// 	m=cm;  
   1.639 +// 	dm=cm; //Copy from another type
   1.640 +// 	m=dm; //Copy to another type
   1.641 +// 	{
   1.642 +// 	  //Check the typedef's
   1.643 +// 	  typename Graph::template EdgeMap<bool>::ValueType val;
   1.644 +// 	  val=true;
   1.645 +// 	  typename Graph::template EdgeMap<bool>::KeyType key;
   1.646 +// 	  key= typename Graph::EdgeIt(G);
   1.647 +// 	}
   1.648 +//       }
   1.649 +//     }
   1.650 +    
   1.651 +//     /// An empty non-static graph class.
   1.652 +    
   1.653 +//     /// This class provides everything that \ref StaticGraph
   1.654 +//     /// with additional functionality which enables to build a
   1.655 +//     /// graph from scratch.
   1.656 +//     class ExtendableGraph : public StaticGraph
   1.657 +//     {
   1.658 +//     public:
   1.659 +//       /// Defalult constructor.
   1.660 +
   1.661 +//       /// Defalult constructor.
   1.662 +//       ///
   1.663 +//       ExtendableGraph() { }
   1.664 +//       ///Add a new node to the graph.
   1.665 +
   1.666 +//       /// \return the new node.
   1.667 +//       ///
   1.668 +//       Node addNode() { return INVALID; }
   1.669 +//       ///Add a new edge to the graph.
   1.670 +
   1.671 +//       ///Add a new edge to the graph with tail node \c t
   1.672 +//       ///and head node \c h.
   1.673 +//       ///\return the new edge.
   1.674 +//       Edge addEdge(Node h, Node t) { return INVALID; }
   1.675 +    
   1.676 +//       /// Resets the graph.
   1.677 +
   1.678 +//       /// This function deletes all edges and nodes of the graph.
   1.679 +//       /// It also frees the memory allocated to store them.
   1.680 +//       /// \todo It might belong to \ref ErasableGraph.
   1.681 +//       void clear() { }
   1.682 +//     };
   1.683 +
   1.684 +    
   1.685 +//     ///\brief Checks whether \c G meets the
   1.686 +//     ///\ref lemon::concept::ExtendableGraph "ExtendableGraph" concept
   1.687 +//     template<class Graph> void checkCompileExtendableGraph(Graph &G) 
   1.688 +//     {
   1.689 +//       checkCompileStaticGraph(G);
   1.690 +
   1.691 +//       typedef typename Graph::Node Node;
   1.692 +//       typedef typename Graph::NodeIt NodeIt;
   1.693 +//       typedef typename Graph::Edge Edge;
   1.694 +//       typedef typename Graph::EdgeIt EdgeIt;
   1.695 +//       typedef typename Graph::InEdgeIt InEdgeIt;
   1.696 +//       typedef typename Graph::OutEdgeIt OutEdgeIt;
   1.697 +  
   1.698 +//       Node n,m;
   1.699 +//       n=G.addNode();
   1.700 +//       m=G.addNode();
   1.701 +//       Edge e;
   1.702 +//       e=G.addEdge(n,m); 
   1.703 +  
   1.704 +//       //  G.clear();
   1.705 +//     }
   1.706 +
   1.707 +
   1.708 +//     /// An empty erasable graph class.
   1.709 +  
   1.710 +//     /// This class is an extension of \ref ExtendableGraph. It also makes it
   1.711 +//     /// possible to erase edges or nodes.
   1.712 +//     class ErasableGraph : public ExtendableGraph
   1.713 +//     {
   1.714 +//     public:
   1.715 +//       /// Defalult constructor.
   1.716 +
   1.717 +//       /// Defalult constructor.
   1.718 +//       ///
   1.719 +//       ErasableGraph() { }
   1.720 +//       /// Deletes a node.
   1.721 +
   1.722 +//       /// Deletes node \c n node.
   1.723 +//       ///
   1.724 +//       void erase(Node n) { }
   1.725 +//       /// Deletes an edge.
   1.726 +
   1.727 +//       /// Deletes edge \c e edge.
   1.728 +//       ///
   1.729 +//       void erase(Edge e) { }
   1.730 +//     };
   1.731 +    
   1.732 +//     template<class Graph> void checkCompileGraphEraseEdge(Graph &G) 
   1.733 +//     {
   1.734 +//       typename Graph::Edge e;
   1.735 +//       G.erase(e);
   1.736 +//     }
   1.737 +
   1.738 +//     template<class Graph> void checkCompileGraphEraseNode(Graph &G) 
   1.739 +//     {
   1.740 +//       typename Graph::Node n;
   1.741 +//       G.erase(n);
   1.742 +//     }
   1.743 +
   1.744 +//     ///\brief Checks whether \c G meets the
   1.745 +//     ///\ref lemon::concept::EresableGraph "EresableGraph" concept
   1.746 +//     template<class Graph> void checkCompileErasableGraph(Graph &G) 
   1.747 +//     {
   1.748 +//       checkCompileExtendableGraph(G);
   1.749 +//       checkCompileGraphEraseNode(G);
   1.750 +//       checkCompileGraphEraseEdge(G);
   1.751 +//     }
   1.752 +
   1.753 +//     ///Checks whether a graph has findEdge() member function.
   1.754 +    
   1.755 +//     ///\todo findEdge() might be a global function.
   1.756 +//     ///
   1.757 +//     template<class Graph> void checkCompileGraphFindEdge(Graph &G) 
   1.758 +//     {
   1.759 +//       typedef typename Graph::NodeIt Node;
   1.760 +//       typedef typename Graph::NodeIt NodeIt;
   1.761 +
   1.762 +//       G.findEdge(NodeIt(G),++NodeIt(G),G.findEdge(NodeIt(G),++NodeIt(G)));
   1.763 +//       G.findEdge(Node(),Node(),G.findEdge(Node(),Node()));  
   1.764 +//     }
   1.765 +
   1.766 +
   1.767 +
   1.768 +    /************* New GraphBase stuff **************/
   1.769 +
   1.770 +
   1.771 +    /// \bug The nodes and edges are not allowed to inherit from the
   1.772 +    /// same baseclass.
   1.773 +
   1.774 +    class BaseGraphItem {
   1.775 +    public:
   1.776 +      BaseGraphItem() {}
   1.777 +      BaseGraphItem(Invalid) {}
   1.778 +
   1.779 +      // We explicitely list these:
   1.780 +      BaseGraphItem(BaseGraphItem const&) {}
   1.781 +      BaseGraphItem& operator=(BaseGraphItem const&) { return *this; }
   1.782 +
   1.783 +      bool operator==(BaseGraphItem) const { return false; }
   1.784 +      bool operator!=(BaseGraphItem) const { return false; }
   1.785 +
   1.786 +      // Technical requirement. Do we really need this?
   1.787 +      bool operator<(BaseGraphItem) const { return false; }
   1.788 +    };
   1.789 +
   1.790 +
   1.791 +    /// A minimal GraphBase concept
   1.792 +
   1.793 +    /// This class describes a minimal concept which can be extended to a
   1.794 +    /// full-featured graph with \ref GraphFactory.
   1.795 +    class GraphBase {
   1.796 +    public:
   1.797 +
   1.798 +      GraphBase() {}
   1.799 +
   1.800 +
   1.801 +      /// \bug Nodes and Edges are comparable each other
   1.802 +      
   1.803 +      class Node : public BaseGraphItem {};
   1.804 +      class Edge : public BaseGraphItem {};
   1.805 +
   1.806 +      // Graph operation
   1.807 +      void firstNode(Node &n) const { }
   1.808 +      void firstEdge(Edge &e) const { }
   1.809 +
   1.810 +      void firstOutEdge(Edge &e, Node) const { }
   1.811 +      void firstInEdge(Edge &e, Node) const { }
   1.812 +
   1.813 +      void nextNode(Node &n) const { }
   1.814 +      void nextEdge(Edge &e) const { }
   1.815 +
   1.816 +
   1.817 +      // Question: isn't it reasonable if this methods have a Node
   1.818 +      // parameter? Like this:
   1.819 +      // Edge& nextOut(Edge &e, Node) const { return e; }
   1.820 +      void nextOutEdge(Edge &e) const { }
   1.821 +      void nextInEdge(Edge &e) const { }
   1.822 +
   1.823 +      Node head(Edge) const { return Node(); }
   1.824 +      Node tail(Edge) const { return Node(); }
   1.825 +      
   1.826 +
   1.827 +      // Do we need id, nodeNum, edgeNum and co. in this basic graphbase
   1.828 +      // concept?
   1.829 +
   1.830 +
   1.831 +      // Maps.
   1.832 +      //
   1.833 +      // We need a special slimer concept which does not provide maps (it
   1.834 +      // wouldn't be strictly slimer, cause for map-factory id() & friends
   1.835 +      // a required...)
   1.836 +
   1.837 +      template<typename T>
   1.838 +      class NodeMap : public GraphMap<Node, T, GraphBase> {};
   1.839 +
   1.840 +      template<typename T>
   1.841 +      class EdgeMap : public GraphMap<Edge, T, GraphBase> {};
   1.842 +    };
   1.843 +
   1.844 +
   1.845 +
   1.846 +    /**************** Concept checking classes ****************/
   1.847 +
   1.848 +    template<typename BGI>
   1.849 +    struct BaseGraphItemConcept {
   1.850 +      void constraints() {
   1.851 +	BGI i1;
   1.852 +	BGI i2 = i1;
   1.853 +	BGI i3 = INVALID;
   1.854 +	
   1.855 +	i1 = i3;
   1.856 +	if( i1 == i3 ) {
   1.857 +	  if ( i2 != i3 && i3 < i2 )
   1.858 +	    return;
   1.859 +	}
   1.860 +      }
   1.861 +    };
   1.862 +
   1.863 +    
   1.864 +    
   1.865 +    class StaticGraph 
   1.866 +      :  virtual public BaseGraphComponent, public IterableGraphComponent, public MappableGraphComponent {
   1.867 +    public:
   1.868 +      typedef BaseGraphComponent::Node Node;
   1.869 +      typedef BaseGraphComponent::Edge Edge;
   1.870 +    };
   1.871 +
   1.872 +    template <typename Graph>
   1.873 +    struct StaticGraphConcept {
   1.874 +      void constraints() {
   1.875 +	function_requires<BaseGraphComponentConcept<Graph> >();
   1.876 +	function_requires<IterableGraphComponentConcept<Graph> >();
   1.877 +	function_requires<MappableGraphComponentConcept<Graph> >();
   1.878 +      }
   1.879 +      Graph& graph;
   1.880 +    };
   1.881 +
   1.882 +    class ExtendableGraph 
   1.883 +      :  virtual public BaseGraphComponent, public StaticGraph, public ExtendableGraphComponent, public ClearableGraphComponent {
   1.884 +    public:
   1.885 +      typedef BaseGraphComponent::Node Node;
   1.886 +      typedef BaseGraphComponent::Edge Edge;
   1.887 +    };
   1.888 +
   1.889 +    template <typename Graph>
   1.890 +    struct ExtendableGraphConcept {
   1.891 +      void constraints() {
   1.892 +	function_requires<StaticGraphConcept<Graph> >();
   1.893 +	function_requires<ExtendableGraphComponentConcept<Graph> >();
   1.894 +	function_requires<ClearableGraphComponentConcept<Graph> >();
   1.895 +      }
   1.896 +      Graph& graph;
   1.897 +    };
   1.898 +
   1.899 +    class ErasableGraph 
   1.900 +      :  virtual public BaseGraphComponent, public ExtendableGraph, public ErasableGraphComponent {
   1.901 +    public:
   1.902 +      typedef BaseGraphComponent::Node Node;
   1.903 +      typedef BaseGraphComponent::Edge Edge;
   1.904 +    };
   1.905 +
   1.906 +    template <typename Graph>
   1.907 +    struct ErasableGraphConcept {
   1.908 +      void constraints() {
   1.909 +	function_requires<ExtendableGraphConcept<Graph> >();
   1.910 +	function_requires<ErasableGraphComponentConcept<Graph> >();
   1.911 +      }
   1.912 +      Graph& graph;
   1.913 +    };
   1.914 +
   1.915 +    // @}
   1.916 +  } //namespace concept  
   1.917 +} //namespace lemon
   1.918 +
   1.919 +
   1.920 +
   1.921 +#endif // LEMON_CONCEPT_GRAPH_H