lemon/smart_graph.h
author Alpar Juttner <alpar@cs.elte.hu>
Mon, 15 Oct 2018 23:39:22 +0200
changeset 1172 d7e25df22e88
parent 1025 c8fa41fcc4a7
permissions -rw-r--r--
Fix warnings emitted by g++ 7.3.1 (#614)
alpar@209
     1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
deba@109
     2
 *
alpar@209
     3
 * This file is a part of LEMON, a generic C++ optimization library.
deba@109
     4
 *
alpar@1092
     5
 * Copyright (C) 2003-2013
deba@109
     6
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
deba@109
     7
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
deba@109
     8
 *
deba@109
     9
 * Permission to use, modify and distribute this software is granted
deba@109
    10
 * provided that this copyright notice appears in all copies. For
deba@109
    11
 * precise terms see the accompanying LICENSE file.
deba@109
    12
 *
deba@109
    13
 * This software is provided "AS IS" with no warranty of any kind,
deba@109
    14
 * express or implied, and with no claim as to its suitability for any
deba@109
    15
 * purpose.
deba@109
    16
 *
deba@109
    17
 */
deba@109
    18
deba@109
    19
#ifndef LEMON_SMART_GRAPH_H
deba@109
    20
#define LEMON_SMART_GRAPH_H
deba@109
    21
deba@109
    22
///\ingroup graphs
deba@109
    23
///\file
deba@109
    24
///\brief SmartDigraph and SmartGraph classes.
deba@109
    25
deba@109
    26
#include <vector>
deba@109
    27
deba@220
    28
#include <lemon/core.h>
deba@109
    29
#include <lemon/error.h>
deba@109
    30
#include <lemon/bits/graph_extender.h>
deba@109
    31
deba@109
    32
namespace lemon {
deba@109
    33
deba@109
    34
  class SmartDigraph;
deba@109
    35
deba@109
    36
  class SmartDigraphBase {
deba@109
    37
  protected:
deba@109
    38
alpar@209
    39
    struct NodeT
deba@109
    40
    {
alpar@209
    41
      int first_in, first_out;
deba@109
    42
      NodeT() {}
deba@109
    43
    };
alpar@209
    44
    struct ArcT
deba@109
    45
    {
alpar@209
    46
      int target, source, next_in, next_out;
alpar@209
    47
      ArcT() {}
deba@109
    48
    };
deba@109
    49
deba@109
    50
    std::vector<NodeT> nodes;
deba@109
    51
    std::vector<ArcT> arcs;
alpar@209
    52
deba@109
    53
  public:
deba@109
    54
kpeter@617
    55
    typedef SmartDigraphBase Digraph;
deba@109
    56
deba@109
    57
    class Node;
deba@109
    58
    class Arc;
deba@109
    59
deba@109
    60
  public:
deba@109
    61
deba@109
    62
    SmartDigraphBase() : nodes(), arcs() { }
alpar@209
    63
    SmartDigraphBase(const SmartDigraphBase &_g)
deba@109
    64
      : nodes(_g.nodes), arcs(_g.arcs) { }
alpar@209
    65
deba@109
    66
    typedef True NodeNumTag;
kpeter@360
    67
    typedef True ArcNumTag;
deba@109
    68
deba@109
    69
    int nodeNum() const { return nodes.size(); }
deba@109
    70
    int arcNum() const { return arcs.size(); }
deba@109
    71
deba@109
    72
    int maxNodeId() const { return nodes.size()-1; }
deba@109
    73
    int maxArcId() const { return arcs.size()-1; }
deba@109
    74
deba@109
    75
    Node addNode() {
alpar@209
    76
      int n = nodes.size();
deba@109
    77
      nodes.push_back(NodeT());
deba@109
    78
      nodes[n].first_in = -1;
deba@109
    79
      nodes[n].first_out = -1;
deba@109
    80
      return Node(n);
deba@109
    81
    }
alpar@209
    82
deba@109
    83
    Arc addArc(Node u, Node v) {
alpar@209
    84
      int n = arcs.size();
deba@109
    85
      arcs.push_back(ArcT());
alpar@209
    86
      arcs[n].source = u._id;
deba@109
    87
      arcs[n].target = v._id;
deba@109
    88
      arcs[n].next_out = nodes[u._id].first_out;
deba@109
    89
      arcs[n].next_in = nodes[v._id].first_in;
deba@109
    90
      nodes[u._id].first_out = nodes[v._id].first_in = n;
deba@109
    91
deba@109
    92
      return Arc(n);
deba@109
    93
    }
deba@109
    94
deba@109
    95
    void clear() {
deba@109
    96
      arcs.clear();
deba@109
    97
      nodes.clear();
deba@109
    98
    }
deba@109
    99
deba@109
   100
    Node source(Arc a) const { return Node(arcs[a._id].source); }
deba@109
   101
    Node target(Arc a) const { return Node(arcs[a._id].target); }
deba@109
   102
deba@109
   103
    static int id(Node v) { return v._id; }
deba@109
   104
    static int id(Arc a) { return a._id; }
deba@109
   105
deba@109
   106
    static Node nodeFromId(int id) { return Node(id);}
deba@109
   107
    static Arc arcFromId(int id) { return Arc(id);}
deba@109
   108
alpar@209
   109
    bool valid(Node n) const {
alpar@209
   110
      return n._id >= 0 && n._id < static_cast<int>(nodes.size());
deba@149
   111
    }
alpar@209
   112
    bool valid(Arc a) const {
alpar@209
   113
      return a._id >= 0 && a._id < static_cast<int>(arcs.size());
deba@149
   114
    }
deba@149
   115
deba@109
   116
    class Node {
deba@109
   117
      friend class SmartDigraphBase;
deba@109
   118
      friend class SmartDigraph;
deba@109
   119
deba@109
   120
    protected:
deba@109
   121
      int _id;
deba@109
   122
      explicit Node(int id) : _id(id) {}
deba@109
   123
    public:
deba@109
   124
      Node() {}
deba@109
   125
      Node (Invalid) : _id(-1) {}
deba@109
   126
      bool operator==(const Node i) const {return _id == i._id;}
deba@109
   127
      bool operator!=(const Node i) const {return _id != i._id;}
deba@109
   128
      bool operator<(const Node i) const {return _id < i._id;}
deba@109
   129
    };
alpar@209
   130
deba@109
   131
deba@109
   132
    class Arc {
deba@109
   133
      friend class SmartDigraphBase;
deba@109
   134
      friend class SmartDigraph;
deba@109
   135
deba@109
   136
    protected:
deba@109
   137
      int _id;
deba@109
   138
      explicit Arc(int id) : _id(id) {}
deba@109
   139
    public:
deba@109
   140
      Arc() { }
deba@109
   141
      Arc (Invalid) : _id(-1) {}
deba@109
   142
      bool operator==(const Arc i) const {return _id == i._id;}
deba@109
   143
      bool operator!=(const Arc i) const {return _id != i._id;}
deba@109
   144
      bool operator<(const Arc i) const {return _id < i._id;}
deba@109
   145
    };
deba@109
   146
deba@109
   147
    void first(Node& node) const {
deba@109
   148
      node._id = nodes.size() - 1;
deba@109
   149
    }
deba@109
   150
deba@109
   151
    static void next(Node& node) {
deba@109
   152
      --node._id;
deba@109
   153
    }
deba@109
   154
deba@109
   155
    void first(Arc& arc) const {
deba@109
   156
      arc._id = arcs.size() - 1;
deba@109
   157
    }
deba@109
   158
deba@109
   159
    static void next(Arc& arc) {
deba@109
   160
      --arc._id;
deba@109
   161
    }
deba@109
   162
deba@109
   163
    void firstOut(Arc& arc, const Node& node) const {
deba@109
   164
      arc._id = nodes[node._id].first_out;
deba@109
   165
    }
deba@109
   166
deba@109
   167
    void nextOut(Arc& arc) const {
deba@109
   168
      arc._id = arcs[arc._id].next_out;
deba@109
   169
    }
deba@109
   170
deba@109
   171
    void firstIn(Arc& arc, const Node& node) const {
deba@109
   172
      arc._id = nodes[node._id].first_in;
deba@109
   173
    }
alpar@209
   174
deba@109
   175
    void nextIn(Arc& arc) const {
deba@109
   176
      arc._id = arcs[arc._id].next_in;
deba@109
   177
    }
deba@109
   178
deba@109
   179
  };
deba@109
   180
deba@109
   181
  typedef DigraphExtender<SmartDigraphBase> ExtendedSmartDigraphBase;
deba@109
   182
deba@109
   183
  ///\ingroup graphs
deba@109
   184
  ///
deba@109
   185
  ///\brief A smart directed graph class.
deba@109
   186
  ///
kpeter@735
   187
  ///\ref SmartDigraph is a simple and fast digraph implementation.
kpeter@735
   188
  ///It is also quite memory efficient but at the price
alpar@877
   189
  ///that it does not support node and arc deletion
kpeter@735
   190
  ///(except for the Snapshot feature).
deba@109
   191
  ///
kpeter@735
   192
  ///This type fully conforms to the \ref concepts::Digraph "Digraph concept"
kpeter@735
   193
  ///and it also provides some additional functionalities.
kpeter@735
   194
  ///Most of its member functions and nested classes are documented
kpeter@735
   195
  ///only in the concept class.
kpeter@735
   196
  ///
kpeter@787
   197
  ///This class provides constant time counting for nodes and arcs.
kpeter@787
   198
  ///
kpeter@735
   199
  ///\sa concepts::Digraph
kpeter@735
   200
  ///\sa SmartGraph
deba@109
   201
  class SmartDigraph : public ExtendedSmartDigraphBase {
deba@109
   202
    typedef ExtendedSmartDigraphBase Parent;
deba@109
   203
deba@109
   204
  private:
kpeter@735
   205
    /// Digraphs are \e not copy constructible. Use DigraphCopy instead.
deba@109
   206
    SmartDigraph(const SmartDigraph &) : ExtendedSmartDigraphBase() {};
kpeter@735
   207
    /// \brief Assignment of a digraph to another one is \e not allowed.
kpeter@735
   208
    /// Use DigraphCopy instead.
deba@109
   209
    void operator=(const SmartDigraph &) {}
deba@109
   210
deba@109
   211
  public:
alpar@209
   212
deba@109
   213
    /// Constructor
alpar@209
   214
deba@109
   215
    /// Constructor.
deba@109
   216
    ///
deba@109
   217
    SmartDigraph() {};
alpar@209
   218
deba@109
   219
    ///Add a new node to the digraph.
alpar@209
   220
kpeter@735
   221
    ///This function adds a new node to the digraph.
kpeter@735
   222
    ///\return The new node.
deba@109
   223
    Node addNode() { return Parent::addNode(); }
alpar@209
   224
deba@109
   225
    ///Add a new arc to the digraph.
alpar@209
   226
kpeter@735
   227
    ///This function adds a new arc to the digraph with source node \c s
deba@109
   228
    ///and target node \c t.
kpeter@559
   229
    ///\return The new arc.
kpeter@735
   230
    Arc addArc(Node s, Node t) {
alpar@209
   231
      return Parent::addArc(s, t);
deba@109
   232
    }
deba@109
   233
deba@149
   234
    /// \brief Node validity check
deba@149
   235
    ///
kpeter@735
   236
    /// This function gives back \c true if the given node is valid,
kpeter@735
   237
    /// i.e. it is a real node of the digraph.
deba@149
   238
    ///
deba@149
   239
    /// \warning A removed node (using Snapshot) could become valid again
kpeter@735
   240
    /// if new nodes are added to the digraph.
deba@149
   241
    bool valid(Node n) const { return Parent::valid(n); }
deba@149
   242
deba@149
   243
    /// \brief Arc validity check
deba@149
   244
    ///
kpeter@735
   245
    /// This function gives back \c true if the given arc is valid,
kpeter@735
   246
    /// i.e. it is a real arc of the digraph.
deba@149
   247
    ///
deba@149
   248
    /// \warning A removed arc (using Snapshot) could become valid again
kpeter@735
   249
    /// if new arcs are added to the graph.
deba@149
   250
    bool valid(Arc a) const { return Parent::valid(a); }
deba@149
   251
deba@109
   252
    ///Split a node.
alpar@209
   253
kpeter@735
   254
    ///This function splits the given node. First, a new node is added
kpeter@735
   255
    ///to the digraph, then the source of each outgoing arc of node \c n
kpeter@735
   256
    ///is moved to this new node.
kpeter@735
   257
    ///If the second parameter \c connect is \c true (this is the default
kpeter@735
   258
    ///value), then a new arc from node \c n to the newly created node
kpeter@735
   259
    ///is also added.
deba@109
   260
    ///\return The newly created node.
deba@109
   261
    ///
kpeter@735
   262
    ///\note All iterators remain valid.
kpeter@735
   263
    ///
deba@109
   264
    ///\warning This functionality cannot be used together with the Snapshot
deba@109
   265
    ///feature.
deba@109
   266
    Node split(Node n, bool connect = true)
deba@109
   267
    {
deba@109
   268
      Node b = addNode();
deba@109
   269
      nodes[b._id].first_out=nodes[n._id].first_out;
deba@109
   270
      nodes[n._id].first_out=-1;
kpeter@370
   271
      for(int i=nodes[b._id].first_out; i!=-1; i=arcs[i].next_out) {
kpeter@370
   272
        arcs[i].source=b._id;
kpeter@370
   273
      }
deba@109
   274
      if(connect) addArc(n,b);
deba@109
   275
      return b;
deba@109
   276
    }
deba@109
   277
kpeter@735
   278
    ///Clear the digraph.
kpeter@735
   279
kpeter@735
   280
    ///This function erases all nodes and arcs from the digraph.
kpeter@735
   281
    ///
kpeter@735
   282
    void clear() {
kpeter@735
   283
      Parent::clear();
kpeter@735
   284
    }
kpeter@735
   285
kpeter@735
   286
    /// Reserve memory for nodes.
kpeter@735
   287
kpeter@735
   288
    /// Using this function, it is possible to avoid superfluous memory
kpeter@735
   289
    /// allocation: if you know that the digraph you want to build will
kpeter@735
   290
    /// be large (e.g. it will contain millions of nodes and/or arcs),
kpeter@735
   291
    /// then it is worth reserving space for this amount before starting
kpeter@735
   292
    /// to build the digraph.
kpeter@735
   293
    /// \sa reserveArc()
kpeter@735
   294
    void reserveNode(int n) { nodes.reserve(n); };
kpeter@735
   295
kpeter@735
   296
    /// Reserve memory for arcs.
kpeter@735
   297
kpeter@735
   298
    /// Using this function, it is possible to avoid superfluous memory
kpeter@735
   299
    /// allocation: if you know that the digraph you want to build will
kpeter@735
   300
    /// be large (e.g. it will contain millions of nodes and/or arcs),
kpeter@735
   301
    /// then it is worth reserving space for this amount before starting
kpeter@735
   302
    /// to build the digraph.
kpeter@735
   303
    /// \sa reserveNode()
kpeter@735
   304
    void reserveArc(int m) { arcs.reserve(m); };
kpeter@735
   305
deba@109
   306
  public:
alpar@209
   307
deba@109
   308
    class Snapshot;
deba@109
   309
deba@109
   310
  protected:
deba@109
   311
deba@109
   312
    void restoreSnapshot(const Snapshot &s)
deba@109
   313
    {
deba@109
   314
      while(s.arc_num<arcs.size()) {
deba@109
   315
        Arc arc = arcFromId(arcs.size()-1);
alpar@209
   316
        Parent::notifier(Arc()).erase(arc);
alpar@209
   317
        nodes[arcs.back().source].first_out=arcs.back().next_out;
alpar@209
   318
        nodes[arcs.back().target].first_in=arcs.back().next_in;
alpar@209
   319
        arcs.pop_back();
deba@109
   320
      }
deba@109
   321
      while(s.node_num<nodes.size()) {
deba@109
   322
        Node node = nodeFromId(nodes.size()-1);
alpar@209
   323
        Parent::notifier(Node()).erase(node);
alpar@209
   324
        nodes.pop_back();
deba@109
   325
      }
alpar@209
   326
    }
deba@109
   327
deba@109
   328
  public:
deba@109
   329
kpeter@735
   330
    ///Class to make a snapshot of the digraph and to restore it later.
deba@109
   331
kpeter@735
   332
    ///Class to make a snapshot of the digraph and to restore it later.
deba@109
   333
    ///
deba@109
   334
    ///The newly added nodes and arcs can be removed using the
kpeter@735
   335
    ///restore() function. This is the only way for deleting nodes and/or
kpeter@735
   336
    ///arcs from a SmartDigraph structure.
deba@109
   337
    ///
alpar@877
   338
    ///\note After a state is restored, you cannot restore a later state,
kpeter@735
   339
    ///i.e. you cannot add the removed nodes and arcs again using
kpeter@735
   340
    ///another Snapshot instance.
kpeter@735
   341
    ///
kpeter@735
   342
    ///\warning Node splitting cannot be restored.
kpeter@735
   343
    ///\warning The validity of the snapshot is not stored due to
kpeter@735
   344
    ///performance reasons. If you do not use the snapshot correctly,
kpeter@735
   345
    ///it can cause broken program, invalid or not restored state of
kpeter@735
   346
    ///the digraph or no change.
alpar@209
   347
    class Snapshot
deba@109
   348
    {
deba@109
   349
      SmartDigraph *_graph;
deba@109
   350
    protected:
deba@109
   351
      friend class SmartDigraph;
deba@109
   352
      unsigned int node_num;
deba@109
   353
      unsigned int arc_num;
deba@109
   354
    public:
deba@109
   355
      ///Default constructor.
alpar@209
   356
deba@109
   357
      ///Default constructor.
kpeter@735
   358
      ///You have to call save() to actually make a snapshot.
deba@109
   359
      Snapshot() : _graph(0) {}
deba@109
   360
      ///Constructor that immediately makes a snapshot
alpar@209
   361
kpeter@735
   362
      ///This constructor immediately makes a snapshot of the given digraph.
kpeter@735
   363
      ///
kpeter@735
   364
      Snapshot(SmartDigraph &gr) : _graph(&gr) {
alpar@209
   365
        node_num=_graph->nodes.size();
alpar@209
   366
        arc_num=_graph->arcs.size();
deba@109
   367
      }
deba@109
   368
deba@109
   369
      ///Make a snapshot.
deba@109
   370
kpeter@735
   371
      ///This function makes a snapshot of the given digraph.
kpeter@735
   372
      ///It can be called more than once. In case of a repeated
deba@109
   373
      ///call, the previous snapshot gets lost.
kpeter@735
   374
      void save(SmartDigraph &gr) {
kpeter@735
   375
        _graph=&gr;
alpar@209
   376
        node_num=_graph->nodes.size();
alpar@209
   377
        arc_num=_graph->arcs.size();
deba@109
   378
      }
deba@109
   379
deba@109
   380
      ///Undo the changes until a snapshot.
alpar@209
   381
kpeter@735
   382
      ///This function undos the changes until the last snapshot
kpeter@735
   383
      ///created by save() or Snapshot(SmartDigraph&).
deba@109
   384
      void restore()
deba@109
   385
      {
alpar@209
   386
        _graph->restoreSnapshot(*this);
deba@109
   387
      }
deba@109
   388
    };
deba@109
   389
  };
deba@109
   390
deba@109
   391
deba@109
   392
  class SmartGraphBase {
deba@109
   393
deba@109
   394
  protected:
deba@109
   395
deba@109
   396
    struct NodeT {
deba@109
   397
      int first_out;
deba@109
   398
    };
alpar@209
   399
deba@109
   400
    struct ArcT {
deba@109
   401
      int target;
deba@109
   402
      int next_out;
deba@109
   403
    };
deba@109
   404
deba@109
   405
    std::vector<NodeT> nodes;
deba@109
   406
    std::vector<ArcT> arcs;
deba@109
   407
deba@109
   408
  public:
alpar@209
   409
kpeter@617
   410
    typedef SmartGraphBase Graph;
deba@109
   411
deba@109
   412
    class Node;
deba@109
   413
    class Arc;
deba@109
   414
    class Edge;
alpar@209
   415
deba@109
   416
    class Node {
deba@109
   417
      friend class SmartGraphBase;
deba@109
   418
    protected:
deba@109
   419
deba@109
   420
      int _id;
deba@109
   421
      explicit Node(int id) { _id = id;}
deba@109
   422
deba@109
   423
    public:
deba@109
   424
      Node() {}
deba@109
   425
      Node (Invalid) { _id = -1; }
deba@109
   426
      bool operator==(const Node& node) const {return _id == node._id;}
deba@109
   427
      bool operator!=(const Node& node) const {return _id != node._id;}
deba@109
   428
      bool operator<(const Node& node) const {return _id < node._id;}
deba@109
   429
    };
deba@109
   430
deba@109
   431
    class Edge {
deba@109
   432
      friend class SmartGraphBase;
deba@109
   433
    protected:
deba@109
   434
deba@109
   435
      int _id;
deba@109
   436
      explicit Edge(int id) { _id = id;}
deba@109
   437
deba@109
   438
    public:
deba@109
   439
      Edge() {}
deba@109
   440
      Edge (Invalid) { _id = -1; }
deba@109
   441
      bool operator==(const Edge& arc) const {return _id == arc._id;}
deba@109
   442
      bool operator!=(const Edge& arc) const {return _id != arc._id;}
deba@109
   443
      bool operator<(const Edge& arc) const {return _id < arc._id;}
deba@109
   444
    };
deba@109
   445
deba@109
   446
    class Arc {
deba@109
   447
      friend class SmartGraphBase;
deba@109
   448
    protected:
deba@109
   449
deba@109
   450
      int _id;
deba@109
   451
      explicit Arc(int id) { _id = id;}
deba@109
   452
deba@109
   453
    public:
kpeter@329
   454
      operator Edge() const {
kpeter@329
   455
        return _id != -1 ? edgeFromId(_id / 2) : INVALID;
deba@238
   456
      }
deba@109
   457
deba@109
   458
      Arc() {}
deba@109
   459
      Arc (Invalid) { _id = -1; }
deba@109
   460
      bool operator==(const Arc& arc) const {return _id == arc._id;}
deba@109
   461
      bool operator!=(const Arc& arc) const {return _id != arc._id;}
deba@109
   462
      bool operator<(const Arc& arc) const {return _id < arc._id;}
deba@109
   463
    };
deba@109
   464
deba@109
   465
deba@109
   466
deba@109
   467
    SmartGraphBase()
deba@109
   468
      : nodes(), arcs() {}
deba@109
   469
kpeter@368
   470
    typedef True NodeNumTag;
kpeter@368
   471
    typedef True EdgeNumTag;
kpeter@368
   472
    typedef True ArcNumTag;
kpeter@368
   473
kpeter@368
   474
    int nodeNum() const { return nodes.size(); }
kpeter@368
   475
    int edgeNum() const { return arcs.size() / 2; }
kpeter@368
   476
    int arcNum() const { return arcs.size(); }
alpar@209
   477
alpar@209
   478
    int maxNodeId() const { return nodes.size()-1; }
deba@109
   479
    int maxEdgeId() const { return arcs.size() / 2 - 1; }
deba@109
   480
    int maxArcId() const { return arcs.size()-1; }
deba@109
   481
deba@109
   482
    Node source(Arc e) const { return Node(arcs[e._id ^ 1].target); }
deba@109
   483
    Node target(Arc e) const { return Node(arcs[e._id].target); }
deba@109
   484
deba@125
   485
    Node u(Edge e) const { return Node(arcs[2 * e._id].target); }
deba@125
   486
    Node v(Edge e) const { return Node(arcs[2 * e._id + 1].target); }
deba@109
   487
deba@109
   488
    static bool direction(Arc e) {
deba@109
   489
      return (e._id & 1) == 1;
deba@109
   490
    }
deba@109
   491
deba@109
   492
    static Arc direct(Edge e, bool d) {
deba@109
   493
      return Arc(e._id * 2 + (d ? 1 : 0));
deba@109
   494
    }
deba@109
   495
alpar@209
   496
    void first(Node& node) const {
deba@109
   497
      node._id = nodes.size() - 1;
deba@109
   498
    }
deba@109
   499
kpeter@778
   500
    static void next(Node& node) {
deba@109
   501
      --node._id;
deba@109
   502
    }
deba@109
   503
alpar@209
   504
    void first(Arc& arc) const {
deba@109
   505
      arc._id = arcs.size() - 1;
deba@109
   506
    }
deba@109
   507
kpeter@778
   508
    static void next(Arc& arc) {
deba@109
   509
      --arc._id;
deba@109
   510
    }
deba@109
   511
alpar@209
   512
    void first(Edge& arc) const {
deba@109
   513
      arc._id = arcs.size() / 2 - 1;
deba@109
   514
    }
deba@109
   515
kpeter@778
   516
    static void next(Edge& arc) {
deba@109
   517
      --arc._id;
deba@109
   518
    }
deba@109
   519
deba@109
   520
    void firstOut(Arc &arc, const Node& v) const {
deba@109
   521
      arc._id = nodes[v._id].first_out;
deba@109
   522
    }
deba@109
   523
    void nextOut(Arc &arc) const {
deba@109
   524
      arc._id = arcs[arc._id].next_out;
deba@109
   525
    }
deba@109
   526
deba@109
   527
    void firstIn(Arc &arc, const Node& v) const {
deba@109
   528
      arc._id = ((nodes[v._id].first_out) ^ 1);
deba@109
   529
      if (arc._id == -2) arc._id = -1;
deba@109
   530
    }
deba@109
   531
    void nextIn(Arc &arc) const {
deba@109
   532
      arc._id = ((arcs[arc._id ^ 1].next_out) ^ 1);
deba@109
   533
      if (arc._id == -2) arc._id = -1;
deba@109
   534
    }
deba@109
   535
deba@109
   536
    void firstInc(Edge &arc, bool& d, const Node& v) const {
deba@109
   537
      int de = nodes[v._id].first_out;
deba@109
   538
      if (de != -1) {
deba@109
   539
        arc._id = de / 2;
deba@109
   540
        d = ((de & 1) == 1);
deba@109
   541
      } else {
deba@109
   542
        arc._id = -1;
deba@109
   543
        d = true;
deba@109
   544
      }
deba@109
   545
    }
deba@109
   546
    void nextInc(Edge &arc, bool& d) const {
deba@109
   547
      int de = (arcs[(arc._id * 2) | (d ? 1 : 0)].next_out);
deba@109
   548
      if (de != -1) {
deba@109
   549
        arc._id = de / 2;
deba@109
   550
        d = ((de & 1) == 1);
deba@109
   551
      } else {
deba@109
   552
        arc._id = -1;
alpar@209
   553
        d = true;
deba@109
   554
      }
deba@109
   555
    }
alpar@209
   556
deba@109
   557
    static int id(Node v) { return v._id; }
deba@109
   558
    static int id(Arc e) { return e._id; }
deba@109
   559
    static int id(Edge e) { return e._id; }
deba@109
   560
deba@109
   561
    static Node nodeFromId(int id) { return Node(id);}
deba@109
   562
    static Arc arcFromId(int id) { return Arc(id);}
deba@109
   563
    static Edge edgeFromId(int id) { return Edge(id);}
deba@109
   564
alpar@209
   565
    bool valid(Node n) const {
alpar@209
   566
      return n._id >= 0 && n._id < static_cast<int>(nodes.size());
deba@149
   567
    }
alpar@209
   568
    bool valid(Arc a) const {
deba@149
   569
      return a._id >= 0 && a._id < static_cast<int>(arcs.size());
deba@149
   570
    }
alpar@209
   571
    bool valid(Edge e) const {
alpar@209
   572
      return e._id >= 0 && 2 * e._id < static_cast<int>(arcs.size());
deba@149
   573
    }
deba@149
   574
alpar@209
   575
    Node addNode() {
deba@109
   576
      int n = nodes.size();
deba@109
   577
      nodes.push_back(NodeT());
deba@109
   578
      nodes[n].first_out = -1;
alpar@209
   579
deba@109
   580
      return Node(n);
deba@109
   581
    }
alpar@209
   582
deba@138
   583
    Edge addEdge(Node u, Node v) {
deba@109
   584
      int n = arcs.size();
deba@109
   585
      arcs.push_back(ArcT());
deba@109
   586
      arcs.push_back(ArcT());
alpar@209
   587
deba@109
   588
      arcs[n].target = u._id;
deba@109
   589
      arcs[n | 1].target = v._id;
deba@109
   590
deba@109
   591
      arcs[n].next_out = nodes[v._id].first_out;
deba@109
   592
      nodes[v._id].first_out = n;
deba@109
   593
alpar@209
   594
      arcs[n | 1].next_out = nodes[u._id].first_out;
deba@109
   595
      nodes[u._id].first_out = (n | 1);
deba@109
   596
deba@109
   597
      return Edge(n / 2);
deba@109
   598
    }
alpar@209
   599
deba@109
   600
    void clear() {
deba@109
   601
      arcs.clear();
deba@109
   602
      nodes.clear();
deba@109
   603
    }
deba@109
   604
deba@109
   605
  };
deba@109
   606
deba@109
   607
  typedef GraphExtender<SmartGraphBase> ExtendedSmartGraphBase;
deba@109
   608
deba@109
   609
  /// \ingroup graphs
deba@109
   610
  ///
deba@109
   611
  /// \brief A smart undirected graph class.
deba@109
   612
  ///
kpeter@735
   613
  /// \ref SmartGraph is a simple and fast graph implementation.
kpeter@735
   614
  /// It is also quite memory efficient but at the price
alpar@877
   615
  /// that it does not support node and edge deletion
kpeter@735
   616
  /// (except for the Snapshot feature).
deba@109
   617
  ///
kpeter@735
   618
  /// This type fully conforms to the \ref concepts::Graph "Graph concept"
kpeter@735
   619
  /// and it also provides some additional functionalities.
kpeter@735
   620
  /// Most of its member functions and nested classes are documented
kpeter@735
   621
  /// only in the concept class.
kpeter@735
   622
  ///
kpeter@787
   623
  /// This class provides constant time counting for nodes, edges and arcs.
kpeter@787
   624
  ///
kpeter@735
   625
  /// \sa concepts::Graph
kpeter@735
   626
  /// \sa SmartDigraph
deba@109
   627
  class SmartGraph : public ExtendedSmartGraphBase {
kpeter@617
   628
    typedef ExtendedSmartGraphBase Parent;
kpeter@617
   629
deba@109
   630
  private:
kpeter@735
   631
    /// Graphs are \e not copy constructible. Use GraphCopy instead.
deba@109
   632
    SmartGraph(const SmartGraph &) : ExtendedSmartGraphBase() {};
kpeter@735
   633
    /// \brief Assignment of a graph to another one is \e not allowed.
kpeter@735
   634
    /// Use GraphCopy instead.
deba@109
   635
    void operator=(const SmartGraph &) {}
deba@109
   636
deba@109
   637
  public:
deba@109
   638
deba@109
   639
    /// Constructor
alpar@209
   640
deba@109
   641
    /// Constructor.
deba@109
   642
    ///
deba@109
   643
    SmartGraph() {}
deba@109
   644
kpeter@735
   645
    /// \brief Add a new node to the graph.
kpeter@735
   646
    ///
kpeter@735
   647
    /// This function adds a new node to the graph.
kpeter@559
   648
    /// \return The new node.
deba@109
   649
    Node addNode() { return Parent::addNode(); }
alpar@209
   650
kpeter@735
   651
    /// \brief Add a new edge to the graph.
kpeter@735
   652
    ///
kpeter@735
   653
    /// This function adds a new edge to the graph between nodes
kpeter@735
   654
    /// \c u and \c v with inherent orientation from node \c u to
kpeter@735
   655
    /// node \c v.
kpeter@735
   656
    /// \return The new edge.
kpeter@735
   657
    Edge addEdge(Node u, Node v) {
kpeter@735
   658
      return Parent::addEdge(u, v);
deba@109
   659
    }
deba@109
   660
deba@149
   661
    /// \brief Node validity check
deba@149
   662
    ///
kpeter@735
   663
    /// This function gives back \c true if the given node is valid,
kpeter@735
   664
    /// i.e. it is a real node of the graph.
deba@149
   665
    ///
deba@149
   666
    /// \warning A removed node (using Snapshot) could become valid again
kpeter@735
   667
    /// if new nodes are added to the graph.
deba@149
   668
    bool valid(Node n) const { return Parent::valid(n); }
deba@149
   669
kpeter@735
   670
    /// \brief Edge validity check
kpeter@735
   671
    ///
kpeter@735
   672
    /// This function gives back \c true if the given edge is valid,
kpeter@735
   673
    /// i.e. it is a real edge of the graph.
kpeter@735
   674
    ///
kpeter@735
   675
    /// \warning A removed edge (using Snapshot) could become valid again
kpeter@735
   676
    /// if new edges are added to the graph.
kpeter@735
   677
    bool valid(Edge e) const { return Parent::valid(e); }
kpeter@735
   678
deba@149
   679
    /// \brief Arc validity check
deba@149
   680
    ///
kpeter@735
   681
    /// This function gives back \c true if the given arc is valid,
kpeter@735
   682
    /// i.e. it is a real arc of the graph.
deba@149
   683
    ///
deba@149
   684
    /// \warning A removed arc (using Snapshot) could become valid again
kpeter@735
   685
    /// if new edges are added to the graph.
deba@149
   686
    bool valid(Arc a) const { return Parent::valid(a); }
deba@149
   687
deba@109
   688
    ///Clear the graph.
alpar@209
   689
kpeter@735
   690
    ///This function erases all nodes and arcs from the graph.
deba@109
   691
    ///
deba@109
   692
    void clear() {
deba@109
   693
      Parent::clear();
deba@109
   694
    }
deba@109
   695
kpeter@736
   696
    /// Reserve memory for nodes.
kpeter@736
   697
kpeter@736
   698
    /// Using this function, it is possible to avoid superfluous memory
kpeter@736
   699
    /// allocation: if you know that the graph you want to build will
kpeter@736
   700
    /// be large (e.g. it will contain millions of nodes and/or edges),
kpeter@736
   701
    /// then it is worth reserving space for this amount before starting
kpeter@736
   702
    /// to build the graph.
kpeter@736
   703
    /// \sa reserveEdge()
kpeter@736
   704
    void reserveNode(int n) { nodes.reserve(n); };
kpeter@736
   705
kpeter@736
   706
    /// Reserve memory for edges.
kpeter@736
   707
kpeter@736
   708
    /// Using this function, it is possible to avoid superfluous memory
kpeter@736
   709
    /// allocation: if you know that the graph you want to build will
kpeter@736
   710
    /// be large (e.g. it will contain millions of nodes and/or edges),
kpeter@736
   711
    /// then it is worth reserving space for this amount before starting
kpeter@736
   712
    /// to build the graph.
kpeter@736
   713
    /// \sa reserveNode()
kpeter@736
   714
    void reserveEdge(int m) { arcs.reserve(2 * m); };
kpeter@736
   715
deba@109
   716
  public:
alpar@209
   717
deba@109
   718
    class Snapshot;
deba@109
   719
deba@109
   720
  protected:
deba@109
   721
deba@109
   722
    void saveSnapshot(Snapshot &s)
deba@109
   723
    {
deba@109
   724
      s._graph = this;
deba@109
   725
      s.node_num = nodes.size();
deba@109
   726
      s.arc_num = arcs.size();
deba@109
   727
    }
deba@109
   728
deba@109
   729
    void restoreSnapshot(const Snapshot &s)
deba@109
   730
    {
deba@109
   731
      while(s.arc_num<arcs.size()) {
deba@109
   732
        int n=arcs.size()-1;
deba@109
   733
        Edge arc=edgeFromId(n/2);
alpar@209
   734
        Parent::notifier(Edge()).erase(arc);
deba@109
   735
        std::vector<Arc> dir;
deba@109
   736
        dir.push_back(arcFromId(n));
deba@109
   737
        dir.push_back(arcFromId(n-1));
alpar@209
   738
        Parent::notifier(Arc()).erase(dir);
kpeter@373
   739
        nodes[arcs[n-1].target].first_out=arcs[n].next_out;
kpeter@373
   740
        nodes[arcs[n].target].first_out=arcs[n-1].next_out;
alpar@209
   741
        arcs.pop_back();
alpar@209
   742
        arcs.pop_back();
deba@109
   743
      }
deba@109
   744
      while(s.node_num<nodes.size()) {
deba@109
   745
        int n=nodes.size()-1;
deba@109
   746
        Node node = nodeFromId(n);
alpar@209
   747
        Parent::notifier(Node()).erase(node);
alpar@209
   748
        nodes.pop_back();
deba@109
   749
      }
alpar@209
   750
    }
deba@109
   751
deba@109
   752
  public:
deba@109
   753
kpeter@735
   754
    ///Class to make a snapshot of the graph and to restore it later.
deba@109
   755
kpeter@735
   756
    ///Class to make a snapshot of the graph and to restore it later.
deba@109
   757
    ///
kpeter@735
   758
    ///The newly added nodes and edges can be removed using the
kpeter@735
   759
    ///restore() function. This is the only way for deleting nodes and/or
kpeter@735
   760
    ///edges from a SmartGraph structure.
deba@109
   761
    ///
alpar@877
   762
    ///\note After a state is restored, you cannot restore a later state,
kpeter@735
   763
    ///i.e. you cannot add the removed nodes and edges again using
kpeter@735
   764
    ///another Snapshot instance.
deba@109
   765
    ///
kpeter@735
   766
    ///\warning The validity of the snapshot is not stored due to
kpeter@735
   767
    ///performance reasons. If you do not use the snapshot correctly,
kpeter@735
   768
    ///it can cause broken program, invalid or not restored state of
kpeter@735
   769
    ///the graph or no change.
alpar@209
   770
    class Snapshot
deba@109
   771
    {
deba@109
   772
      SmartGraph *_graph;
deba@109
   773
    protected:
deba@109
   774
      friend class SmartGraph;
deba@109
   775
      unsigned int node_num;
deba@109
   776
      unsigned int arc_num;
deba@109
   777
    public:
deba@109
   778
      ///Default constructor.
alpar@209
   779
deba@109
   780
      ///Default constructor.
kpeter@735
   781
      ///You have to call save() to actually make a snapshot.
deba@109
   782
      Snapshot() : _graph(0) {}
deba@109
   783
      ///Constructor that immediately makes a snapshot
alpar@209
   784
kpeter@735
   785
      /// This constructor immediately makes a snapshot of the given graph.
kpeter@735
   786
      ///
kpeter@735
   787
      Snapshot(SmartGraph &gr) {
kpeter@735
   788
        gr.saveSnapshot(*this);
deba@109
   789
      }
deba@109
   790
deba@109
   791
      ///Make a snapshot.
deba@109
   792
kpeter@735
   793
      ///This function makes a snapshot of the given graph.
kpeter@735
   794
      ///It can be called more than once. In case of a repeated
deba@109
   795
      ///call, the previous snapshot gets lost.
kpeter@735
   796
      void save(SmartGraph &gr)
deba@109
   797
      {
kpeter@735
   798
        gr.saveSnapshot(*this);
deba@109
   799
      }
deba@109
   800
kpeter@735
   801
      ///Undo the changes until the last snapshot.
alpar@209
   802
kpeter@735
   803
      ///This function undos the changes until the last snapshot
kpeter@735
   804
      ///created by save() or Snapshot(SmartGraph&).
deba@109
   805
      void restore()
deba@109
   806
      {
deba@109
   807
        _graph->restoreSnapshot(*this);
deba@109
   808
      }
deba@109
   809
    };
deba@109
   810
  };
alpar@209
   811
deba@1019
   812
  class SmartBpGraphBase {
deba@1019
   813
deba@1019
   814
  protected:
deba@1019
   815
deba@1019
   816
    struct NodeT {
deba@1019
   817
      int first_out;
deba@1019
   818
      int partition_next;
deba@1019
   819
      int partition_index;
deba@1019
   820
      bool red;
deba@1019
   821
    };
deba@1019
   822
deba@1019
   823
    struct ArcT {
deba@1019
   824
      int target;
deba@1019
   825
      int next_out;
deba@1019
   826
    };
deba@1019
   827
deba@1019
   828
    std::vector<NodeT> nodes;
deba@1019
   829
    std::vector<ArcT> arcs;
deba@1019
   830
deba@1019
   831
    int first_red, first_blue;
deba@1023
   832
    int max_red, max_blue;
deba@1019
   833
deba@1019
   834
  public:
deba@1019
   835
deba@1019
   836
    typedef SmartBpGraphBase Graph;
deba@1019
   837
deba@1019
   838
    class Node;
deba@1019
   839
    class Arc;
deba@1019
   840
    class Edge;
deba@1019
   841
deba@1019
   842
    class Node {
deba@1019
   843
      friend class SmartBpGraphBase;
deba@1019
   844
    protected:
deba@1019
   845
deba@1019
   846
      int _id;
deba@1019
   847
      explicit Node(int id) { _id = id;}
deba@1019
   848
deba@1019
   849
    public:
deba@1019
   850
      Node() {}
deba@1019
   851
      Node (Invalid) { _id = -1; }
deba@1019
   852
      bool operator==(const Node& node) const {return _id == node._id;}
deba@1019
   853
      bool operator!=(const Node& node) const {return _id != node._id;}
deba@1019
   854
      bool operator<(const Node& node) const {return _id < node._id;}
deba@1019
   855
    };
deba@1019
   856
deba@1025
   857
    class RedNode : public Node {
deba@1025
   858
      friend class SmartBpGraphBase;
deba@1025
   859
    protected:
deba@1025
   860
deba@1025
   861
      explicit RedNode(int pid) : Node(pid) {}
deba@1025
   862
deba@1025
   863
    public:
deba@1025
   864
      RedNode() {}
deba@1025
   865
      RedNode(const RedNode& node) : Node(node) {}
deba@1025
   866
      RedNode(Invalid) : Node(INVALID){}
deba@1025
   867
    };
deba@1025
   868
deba@1025
   869
    class BlueNode : public Node {
deba@1025
   870
      friend class SmartBpGraphBase;
deba@1025
   871
    protected:
deba@1025
   872
deba@1025
   873
      explicit BlueNode(int pid) : Node(pid) {}
deba@1025
   874
deba@1025
   875
    public:
deba@1025
   876
      BlueNode() {}
deba@1025
   877
      BlueNode(const BlueNode& node) : Node(node) {}
deba@1025
   878
      BlueNode(Invalid) : Node(INVALID){}
deba@1025
   879
    };
deba@1025
   880
deba@1019
   881
    class Edge {
deba@1019
   882
      friend class SmartBpGraphBase;
deba@1019
   883
    protected:
deba@1019
   884
deba@1019
   885
      int _id;
deba@1019
   886
      explicit Edge(int id) { _id = id;}
deba@1019
   887
deba@1019
   888
    public:
deba@1019
   889
      Edge() {}
deba@1019
   890
      Edge (Invalid) { _id = -1; }
deba@1019
   891
      bool operator==(const Edge& arc) const {return _id == arc._id;}
deba@1019
   892
      bool operator!=(const Edge& arc) const {return _id != arc._id;}
deba@1019
   893
      bool operator<(const Edge& arc) const {return _id < arc._id;}
deba@1019
   894
    };
deba@1019
   895
deba@1019
   896
    class Arc {
deba@1019
   897
      friend class SmartBpGraphBase;
deba@1019
   898
    protected:
deba@1019
   899
deba@1019
   900
      int _id;
deba@1019
   901
      explicit Arc(int id) { _id = id;}
deba@1019
   902
deba@1019
   903
    public:
deba@1019
   904
      operator Edge() const {
deba@1019
   905
        return _id != -1 ? edgeFromId(_id / 2) : INVALID;
deba@1019
   906
      }
deba@1019
   907
deba@1019
   908
      Arc() {}
deba@1019
   909
      Arc (Invalid) { _id = -1; }
deba@1019
   910
      bool operator==(const Arc& arc) const {return _id == arc._id;}
deba@1019
   911
      bool operator!=(const Arc& arc) const {return _id != arc._id;}
deba@1019
   912
      bool operator<(const Arc& arc) const {return _id < arc._id;}
deba@1019
   913
    };
deba@1019
   914
deba@1019
   915
deba@1019
   916
deba@1019
   917
    SmartBpGraphBase()
deba@1023
   918
      : nodes(), arcs(), first_red(-1), first_blue(-1),
deba@1023
   919
        max_red(-1), max_blue(-1) {}
deba@1019
   920
deba@1019
   921
    typedef True NodeNumTag;
deba@1019
   922
    typedef True EdgeNumTag;
deba@1019
   923
    typedef True ArcNumTag;
deba@1019
   924
deba@1019
   925
    int nodeNum() const { return nodes.size(); }
deba@1023
   926
    int redNum() const { return max_red + 1; }
deba@1023
   927
    int blueNum() const { return max_blue + 1; }
deba@1019
   928
    int edgeNum() const { return arcs.size() / 2; }
deba@1019
   929
    int arcNum() const { return arcs.size(); }
deba@1019
   930
deba@1019
   931
    int maxNodeId() const { return nodes.size()-1; }
deba@1023
   932
    int maxRedId() const { return max_red; }
deba@1023
   933
    int maxBlueId() const { return max_blue; }
deba@1019
   934
    int maxEdgeId() const { return arcs.size() / 2 - 1; }
deba@1019
   935
    int maxArcId() const { return arcs.size()-1; }
deba@1019
   936
deba@1019
   937
    bool red(Node n) const { return nodes[n._id].red; }
deba@1019
   938
    bool blue(Node n) const { return !nodes[n._id].red; }
deba@1019
   939
deba@1025
   940
    static RedNode asRedNodeUnsafe(Node n) { return RedNode(n._id); }
deba@1025
   941
    static BlueNode asBlueNodeUnsafe(Node n) { return BlueNode(n._id); }
deba@1025
   942
deba@1019
   943
    Node source(Arc a) const { return Node(arcs[a._id ^ 1].target); }
deba@1019
   944
    Node target(Arc a) const { return Node(arcs[a._id].target); }
deba@1019
   945
deba@1025
   946
    RedNode redNode(Edge e) const {
deba@1025
   947
      return RedNode(arcs[2 * e._id].target);
deba@1025
   948
    }
deba@1025
   949
    BlueNode blueNode(Edge e) const {
deba@1025
   950
      return BlueNode(arcs[2 * e._id + 1].target);
deba@1025
   951
    }
deba@1019
   952
deba@1019
   953
    static bool direction(Arc a) {
deba@1019
   954
      return (a._id & 1) == 1;
deba@1019
   955
    }
deba@1019
   956
deba@1019
   957
    static Arc direct(Edge e, bool d) {
deba@1019
   958
      return Arc(e._id * 2 + (d ? 1 : 0));
deba@1019
   959
    }
deba@1019
   960
deba@1019
   961
    void first(Node& node) const {
deba@1019
   962
      node._id = nodes.size() - 1;
deba@1019
   963
    }
deba@1019
   964
deba@1019
   965
    static void next(Node& node) {
deba@1019
   966
      --node._id;
deba@1019
   967
    }
deba@1019
   968
deba@1025
   969
    void first(RedNode& node) const {
deba@1019
   970
      node._id = first_red;
deba@1019
   971
    }
deba@1019
   972
deba@1025
   973
    void next(RedNode& node) const {
deba@1019
   974
      node._id = nodes[node._id].partition_next;
deba@1019
   975
    }
deba@1019
   976
deba@1025
   977
    void first(BlueNode& node) const {
deba@1019
   978
      node._id = first_blue;
deba@1019
   979
    }
deba@1019
   980
deba@1025
   981
    void next(BlueNode& node) const {
deba@1019
   982
      node._id = nodes[node._id].partition_next;
deba@1019
   983
    }
deba@1019
   984
deba@1019
   985
    void first(Arc& arc) const {
deba@1019
   986
      arc._id = arcs.size() - 1;
deba@1019
   987
    }
deba@1019
   988
deba@1019
   989
    static void next(Arc& arc) {
deba@1019
   990
      --arc._id;
deba@1019
   991
    }
deba@1019
   992
deba@1019
   993
    void first(Edge& arc) const {
deba@1019
   994
      arc._id = arcs.size() / 2 - 1;
deba@1019
   995
    }
deba@1019
   996
deba@1019
   997
    static void next(Edge& arc) {
deba@1019
   998
      --arc._id;
deba@1019
   999
    }
deba@1019
  1000
deba@1019
  1001
    void firstOut(Arc &arc, const Node& v) const {
deba@1019
  1002
      arc._id = nodes[v._id].first_out;
deba@1019
  1003
    }
deba@1019
  1004
    void nextOut(Arc &arc) const {
deba@1019
  1005
      arc._id = arcs[arc._id].next_out;
deba@1019
  1006
    }
deba@1019
  1007
deba@1019
  1008
    void firstIn(Arc &arc, const Node& v) const {
deba@1019
  1009
      arc._id = ((nodes[v._id].first_out) ^ 1);
deba@1019
  1010
      if (arc._id == -2) arc._id = -1;
deba@1019
  1011
    }
deba@1019
  1012
    void nextIn(Arc &arc) const {
deba@1019
  1013
      arc._id = ((arcs[arc._id ^ 1].next_out) ^ 1);
deba@1019
  1014
      if (arc._id == -2) arc._id = -1;
deba@1019
  1015
    }
deba@1019
  1016
deba@1019
  1017
    void firstInc(Edge &arc, bool& d, const Node& v) const {
deba@1019
  1018
      int de = nodes[v._id].first_out;
deba@1019
  1019
      if (de != -1) {
deba@1019
  1020
        arc._id = de / 2;
deba@1019
  1021
        d = ((de & 1) == 1);
deba@1019
  1022
      } else {
deba@1019
  1023
        arc._id = -1;
deba@1019
  1024
        d = true;
deba@1019
  1025
      }
deba@1019
  1026
    }
deba@1019
  1027
    void nextInc(Edge &arc, bool& d) const {
deba@1019
  1028
      int de = (arcs[(arc._id * 2) | (d ? 1 : 0)].next_out);
deba@1019
  1029
      if (de != -1) {
deba@1019
  1030
        arc._id = de / 2;
deba@1019
  1031
        d = ((de & 1) == 1);
deba@1019
  1032
      } else {
deba@1019
  1033
        arc._id = -1;
deba@1019
  1034
        d = true;
deba@1019
  1035
      }
deba@1019
  1036
    }
deba@1019
  1037
deba@1019
  1038
    static int id(Node v) { return v._id; }
deba@1025
  1039
    int id(RedNode v) const { return nodes[v._id].partition_index; }
deba@1025
  1040
    int id(BlueNode v) const { return nodes[v._id].partition_index; }
deba@1019
  1041
    static int id(Arc e) { return e._id; }
deba@1019
  1042
    static int id(Edge e) { return e._id; }
deba@1019
  1043
deba@1019
  1044
    static Node nodeFromId(int id) { return Node(id);}
deba@1019
  1045
    static Arc arcFromId(int id) { return Arc(id);}
deba@1019
  1046
    static Edge edgeFromId(int id) { return Edge(id);}
deba@1019
  1047
deba@1019
  1048
    bool valid(Node n) const {
deba@1019
  1049
      return n._id >= 0 && n._id < static_cast<int>(nodes.size());
deba@1019
  1050
    }
deba@1019
  1051
    bool valid(Arc a) const {
deba@1019
  1052
      return a._id >= 0 && a._id < static_cast<int>(arcs.size());
deba@1019
  1053
    }
deba@1019
  1054
    bool valid(Edge e) const {
deba@1019
  1055
      return e._id >= 0 && 2 * e._id < static_cast<int>(arcs.size());
deba@1019
  1056
    }
deba@1019
  1057
deba@1025
  1058
    RedNode addRedNode() {
deba@1019
  1059
      int n = nodes.size();
deba@1019
  1060
      nodes.push_back(NodeT());
deba@1019
  1061
      nodes[n].first_out = -1;
deba@1019
  1062
      nodes[n].red = true;
deba@1023
  1063
      nodes[n].partition_index = ++max_red;
deba@1019
  1064
      nodes[n].partition_next = first_red;
deba@1019
  1065
      first_red = n;
deba@1019
  1066
deba@1025
  1067
      return RedNode(n);
deba@1019
  1068
    }
deba@1019
  1069
deba@1025
  1070
    BlueNode addBlueNode() {
deba@1019
  1071
      int n = nodes.size();
deba@1019
  1072
      nodes.push_back(NodeT());
deba@1019
  1073
      nodes[n].first_out = -1;
deba@1019
  1074
      nodes[n].red = false;
deba@1023
  1075
      nodes[n].partition_index = ++max_blue;
deba@1019
  1076
      nodes[n].partition_next = first_blue;
deba@1019
  1077
      first_blue = n;
deba@1019
  1078
deba@1025
  1079
      return BlueNode(n);
deba@1019
  1080
    }
deba@1019
  1081
deba@1025
  1082
    Edge addEdge(RedNode u, BlueNode v) {
deba@1019
  1083
      int n = arcs.size();
deba@1019
  1084
      arcs.push_back(ArcT());
deba@1019
  1085
      arcs.push_back(ArcT());
deba@1019
  1086
deba@1019
  1087
      arcs[n].target = u._id;
deba@1019
  1088
      arcs[n | 1].target = v._id;
deba@1019
  1089
deba@1019
  1090
      arcs[n].next_out = nodes[v._id].first_out;
deba@1019
  1091
      nodes[v._id].first_out = n;
deba@1019
  1092
deba@1019
  1093
      arcs[n | 1].next_out = nodes[u._id].first_out;
deba@1019
  1094
      nodes[u._id].first_out = (n | 1);
deba@1019
  1095
deba@1019
  1096
      return Edge(n / 2);
deba@1019
  1097
    }
deba@1019
  1098
deba@1019
  1099
    void clear() {
deba@1019
  1100
      arcs.clear();
deba@1019
  1101
      nodes.clear();
deba@1019
  1102
      first_red = -1;
deba@1019
  1103
      first_blue = -1;
deba@1023
  1104
      max_blue = -1;
deba@1023
  1105
      max_red = -1;
deba@1019
  1106
    }
deba@1019
  1107
deba@1019
  1108
  };
deba@1019
  1109
deba@1019
  1110
  typedef BpGraphExtender<SmartBpGraphBase> ExtendedSmartBpGraphBase;
deba@1019
  1111
deba@1019
  1112
  /// \ingroup graphs
deba@1019
  1113
  ///
deba@1020
  1114
  /// \brief A smart undirected bipartite graph class.
deba@1019
  1115
  ///
deba@1020
  1116
  /// \ref SmartBpGraph is a simple and fast bipartite graph implementation.
deba@1019
  1117
  /// It is also quite memory efficient but at the price
deba@1019
  1118
  /// that it does not support node and edge deletion
deba@1019
  1119
  /// (except for the Snapshot feature).
deba@1019
  1120
  ///
deba@1020
  1121
  /// This type fully conforms to the \ref concepts::BpGraph "BpGraph concept"
deba@1019
  1122
  /// and it also provides some additional functionalities.
deba@1019
  1123
  /// Most of its member functions and nested classes are documented
deba@1019
  1124
  /// only in the concept class.
deba@1019
  1125
  ///
deba@1019
  1126
  /// This class provides constant time counting for nodes, edges and arcs.
deba@1019
  1127
  ///
deba@1020
  1128
  /// \sa concepts::BpGraph
deba@1020
  1129
  /// \sa SmartGraph
deba@1019
  1130
  class SmartBpGraph : public ExtendedSmartBpGraphBase {
deba@1019
  1131
    typedef ExtendedSmartBpGraphBase Parent;
deba@1019
  1132
deba@1019
  1133
  private:
deba@1019
  1134
    /// Graphs are \e not copy constructible. Use GraphCopy instead.
deba@1019
  1135
    SmartBpGraph(const SmartBpGraph &) : ExtendedSmartBpGraphBase() {};
deba@1019
  1136
    /// \brief Assignment of a graph to another one is \e not allowed.
deba@1019
  1137
    /// Use GraphCopy instead.
deba@1019
  1138
    void operator=(const SmartBpGraph &) {}
deba@1019
  1139
deba@1019
  1140
  public:
deba@1019
  1141
deba@1019
  1142
    /// Constructor
deba@1019
  1143
deba@1019
  1144
    /// Constructor.
deba@1019
  1145
    ///
deba@1019
  1146
    SmartBpGraph() {}
deba@1019
  1147
deba@1019
  1148
    /// \brief Add a new red node to the graph.
deba@1019
  1149
    ///
deba@1019
  1150
    /// This function adds a red new node to the graph.
deba@1019
  1151
    /// \return The new node.
deba@1025
  1152
    RedNode addRedNode() { return Parent::addRedNode(); }
deba@1019
  1153
deba@1019
  1154
    /// \brief Add a new blue node to the graph.
deba@1019
  1155
    ///
deba@1019
  1156
    /// This function adds a blue new node to the graph.
deba@1019
  1157
    /// \return The new node.
deba@1025
  1158
    BlueNode addBlueNode() { return Parent::addBlueNode(); }
deba@1019
  1159
deba@1019
  1160
    /// \brief Add a new edge to the graph.
deba@1019
  1161
    ///
deba@1019
  1162
    /// This function adds a new edge to the graph between nodes
deba@1019
  1163
    /// \c u and \c v with inherent orientation from node \c u to
deba@1019
  1164
    /// node \c v.
deba@1019
  1165
    /// \return The new edge.
deba@1025
  1166
    Edge addEdge(RedNode u, BlueNode v) {
deba@1025
  1167
      return Parent::addEdge(u, v);
deba@1025
  1168
    }
deba@1025
  1169
    Edge addEdge(BlueNode v, RedNode u) {
deba@1025
  1170
      return Parent::addEdge(u, v);
deba@1019
  1171
    }
deba@1019
  1172
deba@1019
  1173
    /// \brief Node validity check
deba@1019
  1174
    ///
deba@1019
  1175
    /// This function gives back \c true if the given node is valid,
deba@1019
  1176
    /// i.e. it is a real node of the graph.
deba@1019
  1177
    ///
deba@1019
  1178
    /// \warning A removed node (using Snapshot) could become valid again
deba@1019
  1179
    /// if new nodes are added to the graph.
deba@1019
  1180
    bool valid(Node n) const { return Parent::valid(n); }
deba@1019
  1181
deba@1019
  1182
    /// \brief Edge validity check
deba@1019
  1183
    ///
deba@1019
  1184
    /// This function gives back \c true if the given edge is valid,
deba@1019
  1185
    /// i.e. it is a real edge of the graph.
deba@1019
  1186
    ///
deba@1019
  1187
    /// \warning A removed edge (using Snapshot) could become valid again
deba@1019
  1188
    /// if new edges are added to the graph.
deba@1019
  1189
    bool valid(Edge e) const { return Parent::valid(e); }
deba@1019
  1190
deba@1019
  1191
    /// \brief Arc validity check
deba@1019
  1192
    ///
deba@1019
  1193
    /// This function gives back \c true if the given arc is valid,
deba@1019
  1194
    /// i.e. it is a real arc of the graph.
deba@1019
  1195
    ///
deba@1019
  1196
    /// \warning A removed arc (using Snapshot) could become valid again
deba@1019
  1197
    /// if new edges are added to the graph.
deba@1019
  1198
    bool valid(Arc a) const { return Parent::valid(a); }
deba@1019
  1199
deba@1019
  1200
    ///Clear the graph.
deba@1019
  1201
deba@1019
  1202
    ///This function erases all nodes and arcs from the graph.
deba@1019
  1203
    ///
deba@1019
  1204
    void clear() {
deba@1019
  1205
      Parent::clear();
deba@1019
  1206
    }
deba@1019
  1207
deba@1019
  1208
    /// Reserve memory for nodes.
deba@1019
  1209
deba@1019
  1210
    /// Using this function, it is possible to avoid superfluous memory
deba@1019
  1211
    /// allocation: if you know that the graph you want to build will
deba@1019
  1212
    /// be large (e.g. it will contain millions of nodes and/or edges),
deba@1019
  1213
    /// then it is worth reserving space for this amount before starting
deba@1019
  1214
    /// to build the graph.
deba@1019
  1215
    /// \sa reserveEdge()
deba@1019
  1216
    void reserveNode(int n) { nodes.reserve(n); };
deba@1019
  1217
deba@1019
  1218
    /// Reserve memory for edges.
deba@1019
  1219
deba@1019
  1220
    /// Using this function, it is possible to avoid superfluous memory
deba@1019
  1221
    /// allocation: if you know that the graph you want to build will
deba@1019
  1222
    /// be large (e.g. it will contain millions of nodes and/or edges),
deba@1019
  1223
    /// then it is worth reserving space for this amount before starting
deba@1019
  1224
    /// to build the graph.
deba@1019
  1225
    /// \sa reserveNode()
deba@1019
  1226
    void reserveEdge(int m) { arcs.reserve(2 * m); };
deba@1019
  1227
deba@1019
  1228
  public:
deba@1019
  1229
deba@1019
  1230
    class Snapshot;
deba@1019
  1231
deba@1019
  1232
  protected:
deba@1019
  1233
deba@1019
  1234
    void saveSnapshot(Snapshot &s)
deba@1019
  1235
    {
deba@1019
  1236
      s._graph = this;
deba@1019
  1237
      s.node_num = nodes.size();
deba@1019
  1238
      s.arc_num = arcs.size();
deba@1019
  1239
    }
deba@1019
  1240
deba@1019
  1241
    void restoreSnapshot(const Snapshot &s)
deba@1019
  1242
    {
deba@1019
  1243
      while(s.arc_num<arcs.size()) {
deba@1019
  1244
        int n=arcs.size()-1;
deba@1019
  1245
        Edge arc=edgeFromId(n/2);
deba@1019
  1246
        Parent::notifier(Edge()).erase(arc);
deba@1019
  1247
        std::vector<Arc> dir;
deba@1019
  1248
        dir.push_back(arcFromId(n));
deba@1019
  1249
        dir.push_back(arcFromId(n-1));
deba@1019
  1250
        Parent::notifier(Arc()).erase(dir);
deba@1019
  1251
        nodes[arcs[n-1].target].first_out=arcs[n].next_out;
deba@1019
  1252
        nodes[arcs[n].target].first_out=arcs[n-1].next_out;
deba@1019
  1253
        arcs.pop_back();
deba@1019
  1254
        arcs.pop_back();
deba@1019
  1255
      }
deba@1019
  1256
      while(s.node_num<nodes.size()) {
deba@1019
  1257
        int n=nodes.size()-1;
deba@1019
  1258
        Node node = nodeFromId(n);
deba@1019
  1259
        if (Parent::red(node)) {
deba@1019
  1260
          first_red = nodes[n].partition_next;
deba@1023
  1261
          if (first_red != -1) {
deba@1023
  1262
            max_red = nodes[first_red].partition_index;
deba@1023
  1263
          } else {
deba@1023
  1264
            max_red = -1;
deba@1023
  1265
          }
alpar@1092
  1266
          Parent::notifier(RedNode()).erase(asRedNodeUnsafe(node));
deba@1019
  1267
        } else {
deba@1019
  1268
          first_blue = nodes[n].partition_next;
deba@1023
  1269
          if (first_blue != -1) {
deba@1023
  1270
            max_blue = nodes[first_blue].partition_index;
deba@1023
  1271
          } else {
deba@1023
  1272
            max_blue = -1;
deba@1023
  1273
          }
deba@1025
  1274
          Parent::notifier(BlueNode()).erase(asBlueNodeUnsafe(node));
deba@1019
  1275
        }
deba@1019
  1276
        Parent::notifier(Node()).erase(node);
deba@1019
  1277
        nodes.pop_back();
deba@1019
  1278
      }
deba@1019
  1279
    }
deba@1019
  1280
deba@1019
  1281
  public:
deba@1019
  1282
deba@1019
  1283
    ///Class to make a snapshot of the graph and to restore it later.
deba@1019
  1284
deba@1019
  1285
    ///Class to make a snapshot of the graph and to restore it later.
deba@1019
  1286
    ///
deba@1019
  1287
    ///The newly added nodes and edges can be removed using the
deba@1019
  1288
    ///restore() function. This is the only way for deleting nodes and/or
deba@1019
  1289
    ///edges from a SmartBpGraph structure.
deba@1019
  1290
    ///
deba@1019
  1291
    ///\note After a state is restored, you cannot restore a later state,
deba@1019
  1292
    ///i.e. you cannot add the removed nodes and edges again using
deba@1019
  1293
    ///another Snapshot instance.
deba@1019
  1294
    ///
deba@1019
  1295
    ///\warning The validity of the snapshot is not stored due to
deba@1019
  1296
    ///performance reasons. If you do not use the snapshot correctly,
deba@1019
  1297
    ///it can cause broken program, invalid or not restored state of
deba@1019
  1298
    ///the graph or no change.
deba@1019
  1299
    class Snapshot
deba@1019
  1300
    {
deba@1019
  1301
      SmartBpGraph *_graph;
deba@1019
  1302
    protected:
deba@1019
  1303
      friend class SmartBpGraph;
deba@1019
  1304
      unsigned int node_num;
deba@1019
  1305
      unsigned int arc_num;
deba@1019
  1306
    public:
deba@1019
  1307
      ///Default constructor.
deba@1019
  1308
deba@1019
  1309
      ///Default constructor.
deba@1019
  1310
      ///You have to call save() to actually make a snapshot.
deba@1019
  1311
      Snapshot() : _graph(0) {}
deba@1019
  1312
      ///Constructor that immediately makes a snapshot
deba@1019
  1313
deba@1019
  1314
      /// This constructor immediately makes a snapshot of the given graph.
deba@1019
  1315
      ///
deba@1019
  1316
      Snapshot(SmartBpGraph &gr) {
deba@1019
  1317
        gr.saveSnapshot(*this);
deba@1019
  1318
      }
deba@1019
  1319
deba@1019
  1320
      ///Make a snapshot.
deba@1019
  1321
deba@1019
  1322
      ///This function makes a snapshot of the given graph.
deba@1019
  1323
      ///It can be called more than once. In case of a repeated
deba@1019
  1324
      ///call, the previous snapshot gets lost.
deba@1019
  1325
      void save(SmartBpGraph &gr)
deba@1019
  1326
      {
deba@1019
  1327
        gr.saveSnapshot(*this);
deba@1019
  1328
      }
deba@1019
  1329
deba@1019
  1330
      ///Undo the changes until the last snapshot.
deba@1019
  1331
deba@1019
  1332
      ///This function undos the changes until the last snapshot
deba@1019
  1333
      ///created by save() or Snapshot(SmartBpGraph&).
deba@1019
  1334
      void restore()
deba@1019
  1335
      {
deba@1019
  1336
        _graph->restoreSnapshot(*this);
deba@1019
  1337
      }
deba@1019
  1338
    };
deba@1019
  1339
  };
deba@1019
  1340
deba@109
  1341
} //namespace lemon
deba@109
  1342
deba@109
  1343
deba@109
  1344
#endif //LEMON_SMART_GRAPH_H