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kpeter (Peter Kovacs)
kpeter@inf.elte.hu
Minor doc improvements related to Suurballe (#47)
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2 files changed with 87 insertions and 85 deletions:
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Ignore white space 4 line context
... ...
@@ -34,17 +34,18 @@
34 34
  /// @{
35 35

	
36
  /// \brief Implementation of an algorithm for finding arc-disjoint
37
  /// paths between two nodes having minimum total length.
36
  /// \brief Algorithm for finding arc-disjoint paths between two nodes
37
  /// having minimum total length.
38 38
  ///
39 39
  /// \ref lemon::Suurballe "Suurballe" implements an algorithm for
40 40
  /// finding arc-disjoint paths having minimum total length (cost)
41
  /// from a given source node to a given target node in a directed
42
  /// digraph.
41
  /// from a given source node to a given target node in a digraph.
43 42
  ///
44 43
  /// In fact, this implementation is the specialization of the
45 44
  /// \ref CapacityScaling "successive shortest path" algorithm.
46 45
  ///
47
  /// \tparam Digraph The directed digraph type the algorithm runs on.
46
  /// \tparam Digraph The digraph type the algorithm runs on.
47
  /// The default value is \c ListDigraph.
48 48
  /// \tparam LengthMap The type of the length (cost) map.
49
  /// The default value is <tt>Digraph::ArcMap<int></tt>.
49 50
  ///
50 51
  /// \warning Length values should be \e non-negative \e integers.
... ...
@@ -52,9 +53,10 @@
52 53
  /// \note For finding node-disjoint paths this algorithm can be used
53 54
  /// with \ref SplitDigraphAdaptor.
54
  ///
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  /// \author Attila Bernath and Peter Kovacs
56
  
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  template < typename Digraph, 
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#ifdef DOXYGEN
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  template <typename Digraph, typename LengthMap>
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#else
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  template < typename Digraph = ListDigraph,
58 59
             typename LengthMap = typename Digraph::template ArcMap<int> >
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#endif
59 61
  class Suurballe
60 62
  {
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@@ -76,5 +78,5 @@
76 78
  private:
77 79
  
78
    /// \brief Special implementation of the \ref Dijkstra algorithm
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    /// \brief Special implementation of the Dijkstra algorithm
79 81
    /// for finding shortest paths in the residual network.
80 82
    ///
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@@ -91,5 +93,5 @@
91 93
    private:
92 94

	
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      // The directed digraph the algorithm runs on
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      // The digraph the algorithm runs on
94 96
      const Digraph &_graph;
95 97

	
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@@ -121,5 +123,5 @@
121 123
        _dist(digraph), _pred(pred), _s(s), _t(t) {}
122 124

	
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      /// \brief Runs the algorithm. Returns \c true if a path is found
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      /// \brief Run the algorithm. It returns \c true if a path is found
124 126
      /// from the source node to the target node.
125 127
      bool run() {
... ...
@@ -130,5 +132,5 @@
130 132
        _proc_nodes.clear();
131 133

	
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        // Processing nodes
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        // Process nodes
133 135
        while (!heap.empty() && heap.top() != _t) {
134 136
          Node u = heap.top(), v;
... ...
@@ -138,5 +140,5 @@
138 140
          _proc_nodes.push_back(u);
139 141

	
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          // Traversing outgoing arcs
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          // Traverse outgoing arcs
141 143
          for (OutArcIt e(_graph, u); e != INVALID; ++e) {
142 144
            if (_flow[e] == 0) {
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@@ -160,5 +162,5 @@
160 162
          }
161 163

	
162
          // Traversing incoming arcs
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          // Traverse incoming arcs
163 165
          for (InArcIt e(_graph, u); e != INVALID; ++e) {
164 166
            if (_flow[e] == 1) {
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@@ -184,5 +186,5 @@
184 186
        if (heap.empty()) return false;
185 187

	
186
        // Updating potentials of processed nodes
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        // Update potentials of processed nodes
187 189
        Length t_dist = heap.prio();
188 190
        for (int i = 0; i < int(_proc_nodes.size()); ++i)
... ...
@@ -195,5 +197,5 @@
195 197
  private:
196 198

	
197
    // The directed digraph the algorithm runs on
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    // The digraph the algorithm runs on
198 200
    const Digraph &_graph;
199 201
    // The length map
... ...
@@ -228,5 +230,5 @@
228 230
    /// Constructor.
229 231
    ///
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    /// \param digraph The directed digraph the algorithm runs on.
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    /// \param digraph The digraph the algorithm runs on.
231 233
    /// \param length The length (cost) values of the arcs.
232 234
    /// \param s The source node.
... ...
@@ -246,7 +248,7 @@
246 248
    }
247 249

	
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    /// \brief Sets the flow map.
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    /// \brief Set the flow map.
249 251
    ///
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    /// Sets the flow map.
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    /// This function sets the flow map.
251 253
    ///
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    /// The found flow contains only 0 and 1 values. It is the union of
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@@ -263,7 +265,7 @@
263 265
    }
264 266

	
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    /// \brief Sets the potential map.
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    /// \brief Set the potential map.
266 268
    ///
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    /// Sets the potential map.
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    /// This function sets the potential map.
268 270
    ///
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    /// The potentials provide the dual solution of the underlying 
... ...
@@ -289,12 +291,12 @@
289 291
    /// @{
290 292

	
291
    /// \brief Runs the algorithm.
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    /// \brief Run the algorithm.
292 294
    ///
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    /// Runs the algorithm.
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    /// This function runs the algorithm.
294 296
    ///
295 297
    /// \param k The number of paths to be found.
296 298
    ///
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    /// \return \c k if there are at least \c k arc-disjoint paths
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    /// from \c s to \c t. Otherwise it returns the number of
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    /// \return \c k if there are at least \c k arc-disjoint paths from
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    /// \c s to \c t in the digraph. Otherwise it returns the number of
299 301
    /// arc-disjoint paths found.
300 302
    ///
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@@ -313,9 +315,9 @@
313 315
    }
314 316

	
315
    /// \brief Initializes the algorithm.
317
    /// \brief Initialize the algorithm.
316 318
    ///
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    /// Initializes the algorithm.
319
    /// This function initializes the algorithm.
318 320
    void init() {
319
      // Initializing maps
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      // Initialize maps
320 322
      if (!_flow) {
321 323
        _flow = new FlowMap(_graph);
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@@ -334,25 +336,25 @@
334 336
    }
335 337

	
336
    /// \brief Executes the successive shortest path algorithm to find
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    /// \brief Execute the successive shortest path algorithm to find
337 339
    /// an optimal flow.
338 340
    ///
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    /// Executes the successive shortest path algorithm to find a
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    /// minimum cost flow, which is the union of \c k or less
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    /// This function executes the successive shortest path algorithm to
342
    /// find a minimum cost flow, which is the union of \c k or less
341 343
    /// arc-disjoint paths.
342 344
    ///
343
    /// \return \c k if there are at least \c k arc-disjoint paths
344
    /// from \c s to \c t. Otherwise it returns the number of
345
    /// \return \c k if there are at least \c k arc-disjoint paths from
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    /// \c s to \c t in the digraph. Otherwise it returns the number of
345 347
    /// arc-disjoint paths found.
346 348
    ///
347 349
    /// \pre \ref init() must be called before using this function.
348 350
    int findFlow(int k = 2) {
349
      // Finding shortest paths
351
      // Find shortest paths
350 352
      _path_num = 0;
351 353
      while (_path_num < k) {
352
        // Running Dijkstra
354
        // Run Dijkstra
353 355
        if (!_dijkstra->run()) break;
354 356
        ++_path_num;
355 357

	
356
        // Setting the flow along the found shortest path
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        // Set the flow along the found shortest path
357 359
        Node u = _target;
358 360
        Arc e;
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@@ -370,15 +372,15 @@
370 372
    }
371 373
    
372
    /// \brief Computes the paths from the flow.
374
    /// \brief Compute the paths from the flow.
373 375
    ///
374
    /// Computes the paths from the flow.
376
    /// This function computes the paths from the flow.
375 377
    ///
376 378
    /// \pre \ref init() and \ref findFlow() must be called before using
377 379
    /// this function.
378 380
    void findPaths() {
379
      // Creating the residual flow map (the union of the paths not
380
      // found so far)
381
      // Create the residual flow map (the union of the paths not found
382
      // so far)
381 383
      FlowMap res_flow(_graph);
382
      for(ArcIt a(_graph);a!=INVALID;++a) res_flow[a]=(*_flow)[a];
384
      for(ArcIt a(_graph); a != INVALID; ++a) res_flow[a] = (*_flow)[a];
383 385

	
384 386
      paths.clear();
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@@ -399,5 +401,5 @@
399 401

	
400 402
    /// \name Query Functions
401
    /// The result of the algorithm can be obtained using these
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    /// The results of the algorithm can be obtained using these
402 404
    /// functions.
403 405
    /// \n The algorithm should be executed before using them.
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@@ -405,58 +407,58 @@
405 407
    /// @{
406 408

	
407
    /// \brief Returns a const reference to the arc map storing the
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    /// \brief Return a const reference to the arc map storing the
408 410
    /// found flow.
409 411
    ///
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    /// Returns a const reference to the arc map storing the flow that
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    /// is the union of the found arc-disjoint paths.
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    /// This function returns a const reference to the arc map storing
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    /// the flow that is the union of the found arc-disjoint paths.
412 414
    ///
413
    /// \pre \ref run() or findFlow() must be called before using this
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    /// function.
415
    /// \pre \ref run() or \ref findFlow() must be called before using
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    /// this function.
415 417
    const FlowMap& flowMap() const {
416 418
      return *_flow;
417 419
    }
418 420

	
419
    /// \brief Returns a const reference to the node map storing the
421
    /// \brief Return a const reference to the node map storing the
420 422
    /// found potentials (the dual solution).
421 423
    ///
422
    /// Returns a const reference to the node map storing the found
423
    /// potentials that provide the dual solution of the underlying 
424
    /// minimum cost flow problem.
424
    /// This function returns a const reference to the node map storing
425
    /// the found potentials that provide the dual solution of the
426
    /// underlying minimum cost flow problem.
425 427
    ///
426
    /// \pre \ref run() or findFlow() must be called before using this
427
    /// function.
428
    /// \pre \ref run() or \ref findFlow() must be called before using
429
    /// this function.
428 430
    const PotentialMap& potentialMap() const {
429 431
      return *_potential;
430 432
    }
431 433

	
432
    /// \brief Returns the flow on the given arc.
434
    /// \brief Return the flow on the given arc.
433 435
    ///
434
    /// Returns the flow on the given arc.
436
    /// This function returns the flow on the given arc.
435 437
    /// It is \c 1 if the arc is involved in one of the found paths,
436 438
    /// otherwise it is \c 0.
437 439
    ///
438
    /// \pre \ref run() or findFlow() must be called before using this
439
    /// function.
440
    /// \pre \ref run() or \ref findFlow() must be called before using
441
    /// this function.
440 442
    int flow(const Arc& arc) const {
441 443
      return (*_flow)[arc];
442 444
    }
443 445

	
444
    /// \brief Returns the potential of the given node.
446
    /// \brief Return the potential of the given node.
445 447
    ///
446
    /// Returns the potential of the given node.
448
    /// This function returns the potential of the given node.
447 449
    ///
448
    /// \pre \ref run() or findFlow() must be called before using this
449
    /// function.
450
    /// \pre \ref run() or \ref findFlow() must be called before using
451
    /// this function.
450 452
    Length potential(const Node& node) const {
451 453
      return (*_potential)[node];
452 454
    }
453 455

	
454
    /// \brief Returns the total length (cost) of the found paths (flow).
456
    /// \brief Return the total length (cost) of the found paths (flow).
455 457
    ///
456
    /// Returns the total length (cost) of the found paths (flow).
457
    /// The complexity of the function is \f$ O(e) \f$.
458
    /// This function returns the total length (cost) of the found paths
459
    /// (flow). The complexity of the function is \f$ O(e) \f$.
458 460
    ///
459
    /// \pre \ref run() or findFlow() must be called before using this
460
    /// function.
461
    /// \pre \ref run() or \ref findFlow() must be called before using
462
    /// this function.
461 463
    Length totalLength() const {
462 464
      Length c = 0;
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@@ -466,23 +468,23 @@
466 468
    }
467 469

	
468
    /// \brief Returns the number of the found paths.
470
    /// \brief Return the number of the found paths.
469 471
    ///
470
    /// Returns the number of the found paths.
472
    /// This function returns the number of the found paths.
471 473
    ///
472
    /// \pre \ref run() or findFlow() must be called before using this
473
    /// function.
474
    /// \pre \ref run() or \ref findFlow() must be called before using
475
    /// this function.
474 476
    int pathNum() const {
475 477
      return _path_num;
476 478
    }
477 479

	
478
    /// \brief Returns a const reference to the specified path.
480
    /// \brief Return a const reference to the specified path.
479 481
    ///
480
    /// Returns a const reference to the specified path.
482
    /// This function returns a const reference to the specified path.
481 483
    ///
482 484
    /// \param i The function returns the \c i-th path.
483 485
    /// \c i must be between \c 0 and <tt>%pathNum()-1</tt>.
484 486
    ///
485
    /// \pre \ref run() or findPaths() must be called before using this
486
    /// function.
487
    /// \pre \ref run() or \ref findPaths() must be called before using
488
    /// this function.
487 489
    Path path(int i) const {
488 490
      return paths[i];
Ignore white space 4 line context
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@@ -29,5 +29,5 @@
29 29
using namespace lemon;
30 30

	
31
// Checks the feasibility of the flow
31
// Check the feasibility of the flow
32 32
template <typename Digraph, typename FlowMap>
33 33
bool checkFlow( const Digraph& gr, const FlowMap& flow, 
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@@ -53,5 +53,5 @@
53 53
}
54 54

	
55
// Checks the optimalitiy of the flow
55
// Check the optimalitiy of the flow
56 56
template < typename Digraph, typename CostMap, 
57 57
           typename FlowMap, typename PotentialMap >
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@@ -59,5 +59,5 @@
59 59
                      const FlowMap& flow, const PotentialMap& pi )
60 60
{
61
  // Checking the Complementary Slackness optimality condition
61
  // Check the "Complementary Slackness" optimality condition
62 62
  TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
63 63
  bool opt = true;
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@@ -72,10 +72,10 @@
72 72
}
73 73

	
74
// Checks a path
75
template < typename Digraph, typename Path >
74
// Check a path
75
template <typename Digraph, typename Path>
76 76
bool checkPath( const Digraph& gr, const Path& path,
77 77
                typename Digraph::Node s, typename Digraph::Node t)
78 78
{
79
  // Checking the Complementary Slackness optimality condition
79
  // Check the "Complementary Slackness" optimality condition
80 80
  TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
81 81
  Node n = s;
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@@ -92,5 +92,5 @@
92 92
  DIGRAPH_TYPEDEFS(ListDigraph);
93 93

	
94
  // Reading the test digraph
94
  // Read the test digraph
95 95
  ListDigraph digraph;
96 96
  ListDigraph::ArcMap<int> length(digraph);
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@@ -112,5 +112,5 @@
112 112
  input.close();
113 113
  
114
  // Finding 2 paths
114
  // Find 2 paths
115 115
  {
116 116
    Suurballe<ListDigraph> suurballe(digraph, length, source, target);
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@@ -127,5 +127,5 @@
127 127
  }
128 128

	
129
  // Finding 3 paths
129
  // Find 3 paths
130 130
  {
131 131
    Suurballe<ListDigraph> suurballe(digraph, length, source, target);
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@@ -142,5 +142,5 @@
142 142
  }
143 143

	
144
  // Finding 5 paths (only 3 can be found)
144
  // Find 5 paths (only 3 can be found)
145 145
  {
146 146
    Suurballe<ListDigraph> suurballe(digraph, length, source, target);
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