lemon/bits/graph_extender.h
author Peter Kovacs <kpeter@inf.elte.hu>
Tue, 24 Mar 2009 00:18:25 +0100
changeset 596 8c3112a66878
parent 361 f58410582b9b
child 609 4137ef9aacc6
permissions -rw-r--r--
Use XTI implementation instead of ATI in NetworkSimplex (#234)

XTI (eXtended Threaded Index) is an imporved version of the widely
known ATI (Augmented Threaded Index) method for storing and updating
the spanning tree structure in Network Simplex algorithms.

In the ATI data structure three indices are stored for each node:
predecessor, thread and depth. In the XTI data structure depth is
replaced by the number of successors and the last successor
(according to the thread index).
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     5  * Copyright (C) 2003-2009
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
     8  *
     9  * Permission to use, modify and distribute this software is granted
    10  * provided that this copyright notice appears in all copies. For
    11  * precise terms see the accompanying LICENSE file.
    12  *
    13  * This software is provided "AS IS" with no warranty of any kind,
    14  * express or implied, and with no claim as to its suitability for any
    15  * purpose.
    16  *
    17  */
    18 
    19 #ifndef LEMON_BITS_GRAPH_EXTENDER_H
    20 #define LEMON_BITS_GRAPH_EXTENDER_H
    21 
    22 #include <lemon/core.h>
    23 
    24 #include <lemon/bits/map_extender.h>
    25 #include <lemon/bits/default_map.h>
    26 
    27 #include <lemon/concept_check.h>
    28 #include <lemon/concepts/maps.h>
    29 
    30 //\ingroup graphbits
    31 //\file
    32 //\brief Extenders for the graph types
    33 namespace lemon {
    34 
    35   // \ingroup graphbits
    36   //
    37   // \brief Extender for the digraph implementations
    38   template <typename Base>
    39   class DigraphExtender : public Base {
    40   public:
    41 
    42     typedef Base Parent;
    43     typedef DigraphExtender Digraph;
    44 
    45     // Base extensions
    46 
    47     typedef typename Parent::Node Node;
    48     typedef typename Parent::Arc Arc;
    49 
    50     int maxId(Node) const {
    51       return Parent::maxNodeId();
    52     }
    53 
    54     int maxId(Arc) const {
    55       return Parent::maxArcId();
    56     }
    57 
    58     Node fromId(int id, Node) const {
    59       return Parent::nodeFromId(id);
    60     }
    61 
    62     Arc fromId(int id, Arc) const {
    63       return Parent::arcFromId(id);
    64     }
    65 
    66     Node oppositeNode(const Node &node, const Arc &arc) const {
    67       if (node == Parent::source(arc))
    68         return Parent::target(arc);
    69       else if(node == Parent::target(arc))
    70         return Parent::source(arc);
    71       else
    72         return INVALID;
    73     }
    74 
    75     // Alterable extension
    76 
    77     typedef AlterationNotifier<DigraphExtender, Node> NodeNotifier;
    78     typedef AlterationNotifier<DigraphExtender, Arc> ArcNotifier;
    79 
    80 
    81   protected:
    82 
    83     mutable NodeNotifier node_notifier;
    84     mutable ArcNotifier arc_notifier;
    85 
    86   public:
    87 
    88     NodeNotifier& notifier(Node) const {
    89       return node_notifier;
    90     }
    91 
    92     ArcNotifier& notifier(Arc) const {
    93       return arc_notifier;
    94     }
    95 
    96     class NodeIt : public Node {
    97       const Digraph* _digraph;
    98     public:
    99 
   100       NodeIt() {}
   101 
   102       NodeIt(Invalid i) : Node(i) { }
   103 
   104       explicit NodeIt(const Digraph& digraph) : _digraph(&digraph) {
   105         _digraph->first(static_cast<Node&>(*this));
   106       }
   107 
   108       NodeIt(const Digraph& digraph, const Node& node)
   109         : Node(node), _digraph(&digraph) {}
   110 
   111       NodeIt& operator++() {
   112         _digraph->next(*this);
   113         return *this;
   114       }
   115 
   116     };
   117 
   118 
   119     class ArcIt : public Arc {
   120       const Digraph* _digraph;
   121     public:
   122 
   123       ArcIt() { }
   124 
   125       ArcIt(Invalid i) : Arc(i) { }
   126 
   127       explicit ArcIt(const Digraph& digraph) : _digraph(&digraph) {
   128         _digraph->first(static_cast<Arc&>(*this));
   129       }
   130 
   131       ArcIt(const Digraph& digraph, const Arc& arc) :
   132         Arc(arc), _digraph(&digraph) { }
   133 
   134       ArcIt& operator++() {
   135         _digraph->next(*this);
   136         return *this;
   137       }
   138 
   139     };
   140 
   141 
   142     class OutArcIt : public Arc {
   143       const Digraph* _digraph;
   144     public:
   145 
   146       OutArcIt() { }
   147 
   148       OutArcIt(Invalid i) : Arc(i) { }
   149 
   150       OutArcIt(const Digraph& digraph, const Node& node)
   151         : _digraph(&digraph) {
   152         _digraph->firstOut(*this, node);
   153       }
   154 
   155       OutArcIt(const Digraph& digraph, const Arc& arc)
   156         : Arc(arc), _digraph(&digraph) {}
   157 
   158       OutArcIt& operator++() {
   159         _digraph->nextOut(*this);
   160         return *this;
   161       }
   162 
   163     };
   164 
   165 
   166     class InArcIt : public Arc {
   167       const Digraph* _digraph;
   168     public:
   169 
   170       InArcIt() { }
   171 
   172       InArcIt(Invalid i) : Arc(i) { }
   173 
   174       InArcIt(const Digraph& digraph, const Node& node)
   175         : _digraph(&digraph) {
   176         _digraph->firstIn(*this, node);
   177       }
   178 
   179       InArcIt(const Digraph& digraph, const Arc& arc) :
   180         Arc(arc), _digraph(&digraph) {}
   181 
   182       InArcIt& operator++() {
   183         _digraph->nextIn(*this);
   184         return *this;
   185       }
   186 
   187     };
   188 
   189     // \brief Base node of the iterator
   190     //
   191     // Returns the base node (i.e. the source in this case) of the iterator
   192     Node baseNode(const OutArcIt &arc) const {
   193       return Parent::source(arc);
   194     }
   195     // \brief Running node of the iterator
   196     //
   197     // Returns the running node (i.e. the target in this case) of the
   198     // iterator
   199     Node runningNode(const OutArcIt &arc) const {
   200       return Parent::target(arc);
   201     }
   202 
   203     // \brief Base node of the iterator
   204     //
   205     // Returns the base node (i.e. the target in this case) of the iterator
   206     Node baseNode(const InArcIt &arc) const {
   207       return Parent::target(arc);
   208     }
   209     // \brief Running node of the iterator
   210     //
   211     // Returns the running node (i.e. the source in this case) of the
   212     // iterator
   213     Node runningNode(const InArcIt &arc) const {
   214       return Parent::source(arc);
   215     }
   216 
   217 
   218     template <typename _Value>
   219     class NodeMap
   220       : public MapExtender<DefaultMap<Digraph, Node, _Value> > {
   221     public:
   222       typedef DigraphExtender Digraph;
   223       typedef MapExtender<DefaultMap<Digraph, Node, _Value> > Parent;
   224 
   225       explicit NodeMap(const Digraph& digraph)
   226         : Parent(digraph) {}
   227       NodeMap(const Digraph& digraph, const _Value& value)
   228         : Parent(digraph, value) {}
   229 
   230     private:
   231       NodeMap& operator=(const NodeMap& cmap) {
   232         return operator=<NodeMap>(cmap);
   233       }
   234 
   235       template <typename CMap>
   236       NodeMap& operator=(const CMap& cmap) {
   237         Parent::operator=(cmap);
   238         return *this;
   239       }
   240 
   241     };
   242 
   243     template <typename _Value>
   244     class ArcMap
   245       : public MapExtender<DefaultMap<Digraph, Arc, _Value> > {
   246     public:
   247       typedef DigraphExtender Digraph;
   248       typedef MapExtender<DefaultMap<Digraph, Arc, _Value> > Parent;
   249 
   250       explicit ArcMap(const Digraph& digraph)
   251         : Parent(digraph) {}
   252       ArcMap(const Digraph& digraph, const _Value& value)
   253         : Parent(digraph, value) {}
   254 
   255     private:
   256       ArcMap& operator=(const ArcMap& cmap) {
   257         return operator=<ArcMap>(cmap);
   258       }
   259 
   260       template <typename CMap>
   261       ArcMap& operator=(const CMap& cmap) {
   262         Parent::operator=(cmap);
   263         return *this;
   264       }
   265     };
   266 
   267 
   268     Node addNode() {
   269       Node node = Parent::addNode();
   270       notifier(Node()).add(node);
   271       return node;
   272     }
   273 
   274     Arc addArc(const Node& from, const Node& to) {
   275       Arc arc = Parent::addArc(from, to);
   276       notifier(Arc()).add(arc);
   277       return arc;
   278     }
   279 
   280     void clear() {
   281       notifier(Arc()).clear();
   282       notifier(Node()).clear();
   283       Parent::clear();
   284     }
   285 
   286     template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
   287     void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
   288       Parent::build(digraph, nodeRef, arcRef);
   289       notifier(Node()).build();
   290       notifier(Arc()).build();
   291     }
   292 
   293     void erase(const Node& node) {
   294       Arc arc;
   295       Parent::firstOut(arc, node);
   296       while (arc != INVALID ) {
   297         erase(arc);
   298         Parent::firstOut(arc, node);
   299       }
   300 
   301       Parent::firstIn(arc, node);
   302       while (arc != INVALID ) {
   303         erase(arc);
   304         Parent::firstIn(arc, node);
   305       }
   306 
   307       notifier(Node()).erase(node);
   308       Parent::erase(node);
   309     }
   310 
   311     void erase(const Arc& arc) {
   312       notifier(Arc()).erase(arc);
   313       Parent::erase(arc);
   314     }
   315 
   316     DigraphExtender() {
   317       node_notifier.setContainer(*this);
   318       arc_notifier.setContainer(*this);
   319     }
   320 
   321 
   322     ~DigraphExtender() {
   323       arc_notifier.clear();
   324       node_notifier.clear();
   325     }
   326   };
   327 
   328   // \ingroup _graphbits
   329   //
   330   // \brief Extender for the Graphs
   331   template <typename Base>
   332   class GraphExtender : public Base {
   333   public:
   334 
   335     typedef Base Parent;
   336     typedef GraphExtender Graph;
   337 
   338     typedef True UndirectedTag;
   339 
   340     typedef typename Parent::Node Node;
   341     typedef typename Parent::Arc Arc;
   342     typedef typename Parent::Edge Edge;
   343 
   344     // Graph extension
   345 
   346     int maxId(Node) const {
   347       return Parent::maxNodeId();
   348     }
   349 
   350     int maxId(Arc) const {
   351       return Parent::maxArcId();
   352     }
   353 
   354     int maxId(Edge) const {
   355       return Parent::maxEdgeId();
   356     }
   357 
   358     Node fromId(int id, Node) const {
   359       return Parent::nodeFromId(id);
   360     }
   361 
   362     Arc fromId(int id, Arc) const {
   363       return Parent::arcFromId(id);
   364     }
   365 
   366     Edge fromId(int id, Edge) const {
   367       return Parent::edgeFromId(id);
   368     }
   369 
   370     Node oppositeNode(const Node &n, const Edge &e) const {
   371       if( n == Parent::u(e))
   372         return Parent::v(e);
   373       else if( n == Parent::v(e))
   374         return Parent::u(e);
   375       else
   376         return INVALID;
   377     }
   378 
   379     Arc oppositeArc(const Arc &arc) const {
   380       return Parent::direct(arc, !Parent::direction(arc));
   381     }
   382 
   383     using Parent::direct;
   384     Arc direct(const Edge &edge, const Node &node) const {
   385       return Parent::direct(edge, Parent::u(edge) == node);
   386     }
   387 
   388     // Alterable extension
   389 
   390     typedef AlterationNotifier<GraphExtender, Node> NodeNotifier;
   391     typedef AlterationNotifier<GraphExtender, Arc> ArcNotifier;
   392     typedef AlterationNotifier<GraphExtender, Edge> EdgeNotifier;
   393 
   394 
   395   protected:
   396 
   397     mutable NodeNotifier node_notifier;
   398     mutable ArcNotifier arc_notifier;
   399     mutable EdgeNotifier edge_notifier;
   400 
   401   public:
   402 
   403     NodeNotifier& notifier(Node) const {
   404       return node_notifier;
   405     }
   406 
   407     ArcNotifier& notifier(Arc) const {
   408       return arc_notifier;
   409     }
   410 
   411     EdgeNotifier& notifier(Edge) const {
   412       return edge_notifier;
   413     }
   414 
   415 
   416 
   417     class NodeIt : public Node {
   418       const Graph* _graph;
   419     public:
   420 
   421       NodeIt() {}
   422 
   423       NodeIt(Invalid i) : Node(i) { }
   424 
   425       explicit NodeIt(const Graph& graph) : _graph(&graph) {
   426         _graph->first(static_cast<Node&>(*this));
   427       }
   428 
   429       NodeIt(const Graph& graph, const Node& node)
   430         : Node(node), _graph(&graph) {}
   431 
   432       NodeIt& operator++() {
   433         _graph->next(*this);
   434         return *this;
   435       }
   436 
   437     };
   438 
   439 
   440     class ArcIt : public Arc {
   441       const Graph* _graph;
   442     public:
   443 
   444       ArcIt() { }
   445 
   446       ArcIt(Invalid i) : Arc(i) { }
   447 
   448       explicit ArcIt(const Graph& graph) : _graph(&graph) {
   449         _graph->first(static_cast<Arc&>(*this));
   450       }
   451 
   452       ArcIt(const Graph& graph, const Arc& arc) :
   453         Arc(arc), _graph(&graph) { }
   454 
   455       ArcIt& operator++() {
   456         _graph->next(*this);
   457         return *this;
   458       }
   459 
   460     };
   461 
   462 
   463     class OutArcIt : public Arc {
   464       const Graph* _graph;
   465     public:
   466 
   467       OutArcIt() { }
   468 
   469       OutArcIt(Invalid i) : Arc(i) { }
   470 
   471       OutArcIt(const Graph& graph, const Node& node)
   472         : _graph(&graph) {
   473         _graph->firstOut(*this, node);
   474       }
   475 
   476       OutArcIt(const Graph& graph, const Arc& arc)
   477         : Arc(arc), _graph(&graph) {}
   478 
   479       OutArcIt& operator++() {
   480         _graph->nextOut(*this);
   481         return *this;
   482       }
   483 
   484     };
   485 
   486 
   487     class InArcIt : public Arc {
   488       const Graph* _graph;
   489     public:
   490 
   491       InArcIt() { }
   492 
   493       InArcIt(Invalid i) : Arc(i) { }
   494 
   495       InArcIt(const Graph& graph, const Node& node)
   496         : _graph(&graph) {
   497         _graph->firstIn(*this, node);
   498       }
   499 
   500       InArcIt(const Graph& graph, const Arc& arc) :
   501         Arc(arc), _graph(&graph) {}
   502 
   503       InArcIt& operator++() {
   504         _graph->nextIn(*this);
   505         return *this;
   506       }
   507 
   508     };
   509 
   510 
   511     class EdgeIt : public Parent::Edge {
   512       const Graph* _graph;
   513     public:
   514 
   515       EdgeIt() { }
   516 
   517       EdgeIt(Invalid i) : Edge(i) { }
   518 
   519       explicit EdgeIt(const Graph& graph) : _graph(&graph) {
   520         _graph->first(static_cast<Edge&>(*this));
   521       }
   522 
   523       EdgeIt(const Graph& graph, const Edge& edge) :
   524         Edge(edge), _graph(&graph) { }
   525 
   526       EdgeIt& operator++() {
   527         _graph->next(*this);
   528         return *this;
   529       }
   530 
   531     };
   532 
   533     class IncEdgeIt : public Parent::Edge {
   534       friend class GraphExtender;
   535       const Graph* _graph;
   536       bool _direction;
   537     public:
   538 
   539       IncEdgeIt() { }
   540 
   541       IncEdgeIt(Invalid i) : Edge(i), _direction(false) { }
   542 
   543       IncEdgeIt(const Graph& graph, const Node &node) : _graph(&graph) {
   544         _graph->firstInc(*this, _direction, node);
   545       }
   546 
   547       IncEdgeIt(const Graph& graph, const Edge &edge, const Node &node)
   548         : _graph(&graph), Edge(edge) {
   549         _direction = (_graph->source(edge) == node);
   550       }
   551 
   552       IncEdgeIt& operator++() {
   553         _graph->nextInc(*this, _direction);
   554         return *this;
   555       }
   556     };
   557 
   558     // \brief Base node of the iterator
   559     //
   560     // Returns the base node (ie. the source in this case) of the iterator
   561     Node baseNode(const OutArcIt &arc) const {
   562       return Parent::source(static_cast<const Arc&>(arc));
   563     }
   564     // \brief Running node of the iterator
   565     //
   566     // Returns the running node (ie. the target in this case) of the
   567     // iterator
   568     Node runningNode(const OutArcIt &arc) const {
   569       return Parent::target(static_cast<const Arc&>(arc));
   570     }
   571 
   572     // \brief Base node of the iterator
   573     //
   574     // Returns the base node (ie. the target in this case) of the iterator
   575     Node baseNode(const InArcIt &arc) const {
   576       return Parent::target(static_cast<const Arc&>(arc));
   577     }
   578     // \brief Running node of the iterator
   579     //
   580     // Returns the running node (ie. the source in this case) of the
   581     // iterator
   582     Node runningNode(const InArcIt &arc) const {
   583       return Parent::source(static_cast<const Arc&>(arc));
   584     }
   585 
   586     // Base node of the iterator
   587     //
   588     // Returns the base node of the iterator
   589     Node baseNode(const IncEdgeIt &edge) const {
   590       return edge._direction ? u(edge) : v(edge);
   591     }
   592     // Running node of the iterator
   593     //
   594     // Returns the running node of the iterator
   595     Node runningNode(const IncEdgeIt &edge) const {
   596       return edge._direction ? v(edge) : u(edge);
   597     }
   598 
   599     // Mappable extension
   600 
   601     template <typename _Value>
   602     class NodeMap
   603       : public MapExtender<DefaultMap<Graph, Node, _Value> > {
   604     public:
   605       typedef GraphExtender Graph;
   606       typedef MapExtender<DefaultMap<Graph, Node, _Value> > Parent;
   607 
   608       NodeMap(const Graph& graph)
   609         : Parent(graph) {}
   610       NodeMap(const Graph& graph, const _Value& value)
   611         : Parent(graph, value) {}
   612 
   613     private:
   614       NodeMap& operator=(const NodeMap& cmap) {
   615         return operator=<NodeMap>(cmap);
   616       }
   617 
   618       template <typename CMap>
   619       NodeMap& operator=(const CMap& cmap) {
   620         Parent::operator=(cmap);
   621         return *this;
   622       }
   623 
   624     };
   625 
   626     template <typename _Value>
   627     class ArcMap
   628       : public MapExtender<DefaultMap<Graph, Arc, _Value> > {
   629     public:
   630       typedef GraphExtender Graph;
   631       typedef MapExtender<DefaultMap<Graph, Arc, _Value> > Parent;
   632 
   633       ArcMap(const Graph& graph)
   634         : Parent(graph) {}
   635       ArcMap(const Graph& graph, const _Value& value)
   636         : Parent(graph, value) {}
   637 
   638     private:
   639       ArcMap& operator=(const ArcMap& cmap) {
   640         return operator=<ArcMap>(cmap);
   641       }
   642 
   643       template <typename CMap>
   644       ArcMap& operator=(const CMap& cmap) {
   645         Parent::operator=(cmap);
   646         return *this;
   647       }
   648     };
   649 
   650 
   651     template <typename _Value>
   652     class EdgeMap
   653       : public MapExtender<DefaultMap<Graph, Edge, _Value> > {
   654     public:
   655       typedef GraphExtender Graph;
   656       typedef MapExtender<DefaultMap<Graph, Edge, _Value> > Parent;
   657 
   658       EdgeMap(const Graph& graph)
   659         : Parent(graph) {}
   660 
   661       EdgeMap(const Graph& graph, const _Value& value)
   662         : Parent(graph, value) {}
   663 
   664     private:
   665       EdgeMap& operator=(const EdgeMap& cmap) {
   666         return operator=<EdgeMap>(cmap);
   667       }
   668 
   669       template <typename CMap>
   670       EdgeMap& operator=(const CMap& cmap) {
   671         Parent::operator=(cmap);
   672         return *this;
   673       }
   674 
   675     };
   676 
   677     // Alteration extension
   678 
   679     Node addNode() {
   680       Node node = Parent::addNode();
   681       notifier(Node()).add(node);
   682       return node;
   683     }
   684 
   685     Edge addEdge(const Node& from, const Node& to) {
   686       Edge edge = Parent::addEdge(from, to);
   687       notifier(Edge()).add(edge);
   688       std::vector<Arc> ev;
   689       ev.push_back(Parent::direct(edge, true));
   690       ev.push_back(Parent::direct(edge, false));
   691       notifier(Arc()).add(ev);
   692       return edge;
   693     }
   694 
   695     void clear() {
   696       notifier(Arc()).clear();
   697       notifier(Edge()).clear();
   698       notifier(Node()).clear();
   699       Parent::clear();
   700     }
   701 
   702     template <typename Graph, typename NodeRefMap, typename EdgeRefMap>
   703     void build(const Graph& graph, NodeRefMap& nodeRef,
   704                EdgeRefMap& edgeRef) {
   705       Parent::build(graph, nodeRef, edgeRef);
   706       notifier(Node()).build();
   707       notifier(Edge()).build();
   708       notifier(Arc()).build();
   709     }
   710 
   711     void erase(const Node& node) {
   712       Arc arc;
   713       Parent::firstOut(arc, node);
   714       while (arc != INVALID ) {
   715         erase(arc);
   716         Parent::firstOut(arc, node);
   717       }
   718 
   719       Parent::firstIn(arc, node);
   720       while (arc != INVALID ) {
   721         erase(arc);
   722         Parent::firstIn(arc, node);
   723       }
   724 
   725       notifier(Node()).erase(node);
   726       Parent::erase(node);
   727     }
   728 
   729     void erase(const Edge& edge) {
   730       std::vector<Arc> av;
   731       av.push_back(Parent::direct(edge, true));
   732       av.push_back(Parent::direct(edge, false));
   733       notifier(Arc()).erase(av);
   734       notifier(Edge()).erase(edge);
   735       Parent::erase(edge);
   736     }
   737 
   738     GraphExtender() {
   739       node_notifier.setContainer(*this);
   740       arc_notifier.setContainer(*this);
   741       edge_notifier.setContainer(*this);
   742     }
   743 
   744     ~GraphExtender() {
   745       edge_notifier.clear();
   746       arc_notifier.clear();
   747       node_notifier.clear();
   748     }
   749 
   750   };
   751 
   752 }
   753 
   754 #endif