lemon/path.h
changeset 2292 38d985e82205
parent 2084 59769591eb60
child 2335 27aa03cd3121
equal deleted inserted replaced
7:e7d54d855747 8:0e95acc58054
    19 
    19 
    20 ///\ingroup paths
    20 ///\ingroup paths
    21 ///\file
    21 ///\file
    22 ///\brief Classes for representing paths in graphs.
    22 ///\brief Classes for representing paths in graphs.
    23 ///
    23 ///
    24 ///\todo Iterators have obsolete style
       
    25 
    24 
    26 #ifndef LEMON_PATH_H
    25 #ifndef LEMON_PATH_H
    27 #define LEMON_PATH_H
    26 #define LEMON_PATH_H
    28 
    27 
    29 #include <deque>
       
    30 #include <vector>
    28 #include <vector>
    31 #include <algorithm>
    29 #include <algorithm>
    32 
    30 
       
    31 #include <lemon/error.h>
    33 #include <lemon/bits/invalid.h>
    32 #include <lemon/bits/invalid.h>
    34 
    33 
    35 namespace lemon {
    34 namespace lemon {
    36 
    35 
    37   /// \addtogroup paths
    36   /// \addtogroup paths
    40 
    39 
    41   //! \brief A structure for representing directed paths in a graph.
    40   //! \brief A structure for representing directed paths in a graph.
    42   //!
    41   //!
    43   //! A structure for representing directed path in a graph.
    42   //! A structure for representing directed path in a graph.
    44   //! \param Graph The graph type in which the path is.
    43   //! \param Graph The graph type in which the path is.
    45   //! \param DM DebugMode, defaults to DefaultDebugMode.
       
    46   //!
    44   //!
    47   //! In a sense, the path can be treated as a graph, for is has \c NodeIt
    45   //! In a sense, the path can be treated as a graph, for is has \c NodeIt
    48   //! and \c EdgeIt with the same usage. These types converts to the \c Node
    46   //! and \c EdgeIt with the same usage. These types converts to the \c Node
    49   //! and \c Edge of the original graph.
    47   //! and \c Edge of the original graph.
    50   //!
    48   //!
    51   //! \todo Thoroughfully check all the range and consistency tests.
    49   //! \todo Thoroughfully check all the range and consistency tests.
    52   template<typename Graph>
    50   template<typename Graph>
    53   class DirPath {
    51   class Path {
    54   public:
    52   public:
    55     /// Edge type of the underlying graph.
    53     /// Edge type of the underlying graph.
    56     typedef typename Graph::Edge GraphEdge;
    54     typedef typename Graph::Edge Edge;
    57     /// Node type of the underlying graph.
    55     /// Node type of the underlying graph.
    58     typedef typename Graph::Node GraphNode;
    56     typedef typename Graph::Node Node;
       
    57 
    59     class NodeIt;
    58     class NodeIt;
    60     class EdgeIt;
    59     class EdgeIt;
    61 
    60 
    62   protected:
    61     struct PathError : public LogicError {
    63     const Graph *gr;
    62       virtual const char* what() const throw() {
    64     typedef std::vector<GraphEdge> Container;
    63         return "lemon::PathError";
    65     Container edges;
    64       }      
       
    65     };
    66 
    66 
    67   public:
    67   public:
    68 
    68 
       
    69     /// \brief Constructor
       
    70     ///
       
    71     /// Constructor 
    69     /// \param _G The graph in which the path is.
    72     /// \param _G The graph in which the path is.
    70     ///
    73     Path(const Graph &_graph) : graph(&_graph), start(INVALID) {}
    71     DirPath(const Graph &_G) : gr(&_G) {}
    74     
    72 
       
    73     /// \brief Subpath constructor.
    75     /// \brief Subpath constructor.
    74     ///
    76     ///
    75     /// Subpath defined by two nodes.
    77     /// Subpath defined by two nodes.
    76     /// \warning It is an error if the two edges are not in order!
    78     /// \warning It is an error if the two edges are not in order!
    77     DirPath(const DirPath &P, const NodeIt &a, const NodeIt &b) {
    79     Path(const Path &other, const NodeIt &a, const NodeIt &b) {
    78       gr = P.gr;
    80       graph = other.graph; 
    79       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
    81       start = a;
       
    82       edges.insert(edges.end(), 
       
    83                    other.edges.begin() + a.id, other.edges.begin() + b.id);
    80     }
    84     }
    81 
    85 
    82     /// \brief Subpath constructor.
    86     /// \brief Subpath constructor.
    83     ///
    87     ///
    84     /// Subpath defined by two edges. Contains edges in [a,b)
    88     /// Subpath defined by two edges. Contains edges in [a,b)
    85     /// \warning It is an error if the two edges are not in order!
    89     /// \warning It is an error if the two edges are not in order!
    86     DirPath(const DirPath &P, const EdgeIt &a, const EdgeIt &b) {
    90     Path(const Path &other, const EdgeIt &a, const EdgeIt &b) {
    87       gr = P.gr;
    91       graph = other.graph;
    88       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
    92       start = graph->source(a);
    89     }
    93       edges.insert(edges.end(), 
    90 
    94                    other.edges.begin() + a.id, other.edges.begin() + b.id);
    91     /// Length of the path.
    95     }
       
    96 
       
    97     /// \brief Length of the path.
       
    98     ///
       
    99     /// The number of the edges in the path. It can be zero if the
       
   100     /// path has only one node or it is empty.
    92     int length() const { return edges.size(); }
   101     int length() const { return edges.size(); }
    93     /// Returns whether the path is empty.
   102 
    94     bool empty() const { return edges.empty(); }
   103     /// \brief Returns whether the path is empty.
    95 
   104     ///
       
   105     /// Returns true when the path does not contain neither edge nor
       
   106     /// node.
       
   107     bool empty() const { return start == INVALID; }
       
   108 
       
   109     /// \brief Resets the path to an empty path.
       
   110     ///
    96     /// Resets the path to an empty path.
   111     /// Resets the path to an empty path.
    97     void clear() { edges.clear(); }
   112     void clear() { edges.clear(); start = INVALID; }
    98 
   113 
    99     /// \brief Starting point of the path.
   114     /// \brief Starting point of the path.
   100     ///
   115     ///
   101     /// Starting point of the path.
   116     /// Starting point of the path.
   102     /// Returns INVALID if the path is empty.
   117     /// Returns INVALID if the path is empty.
   103     GraphNode source() const {
   118     Node source() const {
   104       return empty() ? INVALID : gr->source(edges[0]);
   119       return start;
   105     }
   120     }
   106     /// \brief End point of the path.
   121     /// \brief End point of the path.
   107     ///
   122     ///
   108     /// End point of the path.
   123     /// End point of the path.
   109     /// Returns INVALID if the path is empty.
   124     /// Returns INVALID if the path is empty.
   110     GraphNode target() const {
   125     Node target() const {
   111       return empty() ? INVALID : gr->target(edges[length()-1]);
   126       return length() == 0 ? start : graph->target(edges[length()-1]);
   112     }
   127     }
   113 
   128 
   114     /// \brief Initializes node or edge iterator to point to the first
   129     /// \brief Gives back a node iterator to point to the node of a
   115     /// node or edge.
   130     /// given index.
   116     ///
   131     ///
   117     /// \sa nth
   132     /// Gives back a node iterator to point to the node of a given
   118     template<typename It>
   133     /// index.
   119     It& first(It &i) const { return i=It(*this); }
   134     /// \pre n should less or equal to \c length()
   120 
   135     NodeIt nthNode(int n) const {
   121     /// \brief Initializes node iterator to point to the node of a given index.
   136       return NodeIt(*this, n);
   122     NodeIt& nth(NodeIt &i, int n) const {
   137     }
   123       return i=NodeIt(*this, n);
   138 
   124     }
   139     /// \brief Gives back an edge iterator to point to the edge of a
   125 
   140     /// given index.
   126     /// \brief Initializes edge iterator to point to the edge of a given index.
   141     ///
   127     EdgeIt& nth(EdgeIt &i, int n) const {
   142     /// Gives back an edge iterator to point to the node of a given
   128       return i=EdgeIt(*this, n);
   143     /// index.  
       
   144     /// \pre n should less than \c length()
       
   145     EdgeIt nthEdge(int n) const {
       
   146       return EdgeIt(*this, n);
       
   147     }
       
   148 
       
   149     /// \brief Returns node iterator pointing to the source node of the
       
   150     /// given edge iterator.
       
   151     ///
       
   152     /// Returns node iterator pointing to the source node of the given
       
   153     /// edge iterator.
       
   154     NodeIt source(const EdgeIt& e) const {
       
   155       return NodeIt(*this, e.id);
   129     }
   156     }
   130 
   157 
   131     /// \brief Returns node iterator pointing to the target node of the
   158     /// \brief Returns node iterator pointing to the target node of the
   132     /// given edge iterator.
   159     /// given edge iterator.
       
   160     ///
       
   161     /// Returns node iterator pointing to the target node of the given
       
   162     /// edge iterator.
   133     NodeIt target(const EdgeIt& e) const {
   163     NodeIt target(const EdgeIt& e) const {
   134       return NodeIt(*this, e.idx+1);
   164       return NodeIt(*this, e.id + 1);
   135     }
   165     }
   136 
   166 
   137     /// \brief Returns node iterator pointing to the source node of the
   167 
   138     /// given edge iterator.
   168     /// \brief Iterator class to iterate on the nodes of the paths
   139     NodeIt source(const EdgeIt& e) const {
   169     ///
   140       return NodeIt(*this, e.idx);
   170     /// This class is used to iterate on the nodes of the paths
   141     }
   171     ///
   142 
   172     /// Of course it converts to Graph::Node
   143 
   173     class NodeIt {
   144     /* Iterator classes */
   174       friend class Path;
   145 
   175     public:
   146     /**
   176 
   147      * \brief Iterator class to iterate on the edges of the paths
   177       /// \brief Default constructor
   148      *
   178       ///
   149      * This class is used to iterate on the edges of the paths
   179       /// Default constructor
   150      *
   180       NodeIt() {}
   151      * Of course it converts to Graph::Edge
   181 
   152      *
   182       /// \brief Invalid constructor
   153      */
   183       ///
       
   184       /// Invalid constructor
       
   185       NodeIt(Invalid) : id(-1), path(0) {}
       
   186 
       
   187       /// \brief Constructor with starting point
       
   188       /// 
       
   189       /// Constructor with starting point
       
   190       NodeIt(const Path &_path, int _id = 0) : id(_id), path(&_path) { 
       
   191         if (id > path->length()) id = -1; 
       
   192       }
       
   193 
       
   194       /// \brief Conversion to Graph::Node
       
   195       ///
       
   196       /// Conversion to Graph::Node
       
   197       operator Node() const {
       
   198 	if (id > 0) {
       
   199 	  return path->graph->target(path->edges[id - 1]);
       
   200 	} else if (id == 0) {
       
   201 	  return path->start;
       
   202 	} else {
       
   203 	  return INVALID;
       
   204         }
       
   205       }
       
   206 
       
   207       /// \brief Steps to the next node
       
   208       ///
       
   209       /// Steps to the next node
       
   210       NodeIt& operator++() { 
       
   211         ++id; 
       
   212         if (id > path->length()) id = -1; 
       
   213         return *this; 
       
   214       }
       
   215 
       
   216       /// \brief Comparison operator
       
   217       ///
       
   218       /// Comparison operator
       
   219       bool operator==(const NodeIt& n) const { return id == n.id; }
       
   220 
       
   221       /// \brief Comparison operator
       
   222       ///
       
   223       /// Comparison operator
       
   224       bool operator!=(const NodeIt& n) const { return id != n.id; }
       
   225 
       
   226       /// \brief Comparison operator
       
   227       ///
       
   228       /// Comparison operator
       
   229       bool operator<(const NodeIt& n) const { return id < n.id; }
       
   230 
       
   231     private:
       
   232       int id;
       
   233       const Path *path;
       
   234     };
       
   235 
       
   236     /// \brief Iterator class to iterate on the edges of the paths
       
   237     ///
       
   238     /// This class is used to iterate on the edges of the paths
       
   239     /// Of course it converts to Graph::Edge
   154     class EdgeIt {
   240     class EdgeIt {
   155       friend class DirPath;
   241       friend class Path;
   156 
       
   157       int idx;
       
   158       const DirPath *p;
       
   159     public:
   242     public:
       
   243 
       
   244       /// \brief Default constructor
       
   245       ///
   160       /// Default constructor
   246       /// Default constructor
   161       EdgeIt() {}
   247       EdgeIt() {}
       
   248 
       
   249       /// \brief Invalid constructor
       
   250       ///
   162       /// Invalid constructor
   251       /// Invalid constructor
   163       EdgeIt(Invalid) : idx(-1), p(0) {}
   252       EdgeIt(Invalid) : id(-1), path(0) {}
       
   253 
       
   254       /// \brief Constructor with starting point
       
   255       ///
   164       /// Constructor with starting point
   256       /// Constructor with starting point
   165       EdgeIt(const DirPath &_p, int _idx = 0) :
   257       EdgeIt(const Path &_path, int _id = 0) : id(_id), path(&_path) { 
   166 	idx(_idx), p(&_p) { validate(); }
   258         if (id >= path->length()) id = -1;
   167 
   259       }
   168       ///Validity check
   260 
   169       bool valid() const { return idx!=-1; }
   261       /// \brief Conversion to Graph::Edge
   170 
   262       ///
   171       ///Conversion to Graph::Edge
   263       /// Conversion to Graph::Edge
   172       operator GraphEdge () const {
   264       operator Edge() const {
   173 	return valid() ? p->edges[idx] : INVALID;
   265 	return id != -1 ? path->edges[id] : INVALID;
   174       }
   266       }
   175 
   267 
   176       /// Next edge
   268       /// \brief Steps to the next edge
   177       EdgeIt& operator++() { ++idx; validate(); return *this; }
   269       ///
   178 
   270       /// Steps to the next edge
   179       /// Comparison operator
   271       EdgeIt& operator++() { 
   180       bool operator==(const EdgeIt& e) const { return idx==e.idx; }
   272         ++id; 
   181       /// Comparison operator
   273         if (id >= path->length()) id = -1;
   182       bool operator!=(const EdgeIt& e) const { return idx!=e.idx; }
   274         return *this; 
   183       /// Comparison operator
   275       }
   184       bool operator<(const EdgeIt& e) const { return idx<e.idx; }
   276 
       
   277       /// \brief Comparison operator
       
   278       ///
       
   279       /// Comparison operator
       
   280       bool operator==(const EdgeIt& e) const { return id == e.id; }
       
   281 
       
   282       /// \brief Comparison operator
       
   283       ///
       
   284       /// Comparison operator
       
   285       bool operator!=(const EdgeIt& e) const { return id != e.id; }
       
   286 
       
   287       /// \brief Comparison operator
       
   288       ///
       
   289       /// Comparison operator
       
   290       bool operator<(const EdgeIt& e) const { return id < e.id; }
   185 
   291 
   186     private:
   292     private:
   187       void validate() { if(idx >= p->length() ) idx=-1; }
   293 
       
   294       int id;
       
   295       const Path *path;
   188     };
   296     };
   189 
   297 
   190     /**
   298   protected:
   191      * \brief Iterator class to iterate on the nodes of the paths
   299 
   192      *
   300     const Graph *graph;
   193      * This class is used to iterate on the nodes of the paths
   301 
   194      *
   302     typedef std::vector<Edge> Container;
   195      * Of course it converts to Graph::Node
   303     Container edges;
   196      *
   304     Node start;
   197      */
   305 
   198     class NodeIt {
   306   public:
   199       friend class DirPath;
   307 
   200 
   308     friend class Builder;
   201       int idx;
   309 
   202       const DirPath *p;
   310     /// \brief Class to build paths
       
   311     ///
       
   312     /// This class is used to fill a path with edges.
       
   313     ///
       
   314     /// You can push new edges to the front and to the back of the
       
   315     /// path in arbitrary order then you should commit these changes
       
   316     /// to the graph.
       
   317     ///
       
   318     /// Fundamentally, for most "Paths" (classes fulfilling the
       
   319     /// PathConcept) while the builder is active (after the first
       
   320     /// modifying operation and until the commit()) the original Path
       
   321     /// is in a "transitional" state (operations on it have undefined
       
   322     /// result). But in the case of Path the original path remains
       
   323     /// unchanged until the commit. However we don't recomend that you
       
   324     /// use this feature.
       
   325     class Builder {
   203     public:
   326     public:
   204       /// Default constructor
   327       /// \brief Constructor
   205       NodeIt() {}
   328       ///
   206       /// Invalid constructor
   329       /// Constructor
   207       NodeIt(Invalid) : idx(-1), p(0) {}
   330       /// \param _path the path you want to fill in.
   208       /// Constructor with starting point
   331       Builder(Path &_path) : path(_path), start(INVALID) {}
   209       NodeIt(const DirPath &_p, int _idx = 0) :
   332 
   210 	idx(_idx), p(&_p) { validate(); }
   333       /// \brief Destructor
   211 
   334       ///
   212       ///Validity check
   335       /// Destructor
   213       bool valid() const { return idx!=-1; }
   336       ~Builder() {
   214 
   337         LEMON_ASSERT(front.empty() && back.empty() && start == INVALID, 
   215       ///Conversion to Graph::Node
   338                      PathError());
   216       operator GraphNode () const {
   339       }
   217 	if(idx >= p->length())
   340 
   218 	  return p->target();
   341       /// \brief Sets the starting node of the path.
   219 	else if(idx >= 0)
   342       ///
   220 	  return p->gr->source(p->edges[idx]);
       
   221 	else
       
   222 	  return INVALID;
       
   223       }
       
   224       /// Next node
       
   225       NodeIt& operator++() { ++idx; validate(); return *this; }
       
   226 
       
   227       /// Comparison operator
       
   228       bool operator==(const NodeIt& e) const { return idx==e.idx; }
       
   229       /// Comparison operator
       
   230       bool operator!=(const NodeIt& e) const { return idx!=e.idx; }
       
   231       /// Comparison operator
       
   232       bool operator<(const NodeIt& e) const { return idx<e.idx; }
       
   233 
       
   234     private:
       
   235       void validate() { if(idx > p->length() ) idx=-1; }
       
   236     };
       
   237 
       
   238     friend class Builder;
       
   239 
       
   240     /**
       
   241      * \brief Class to build paths
       
   242      *
       
   243      * This class is used to fill a path with edges.
       
   244      *
       
   245      * You can push new edges to the front and to the back of the path in
       
   246      * arbitrary order then you should commit these changes to the graph.
       
   247      *
       
   248      * Fundamentally, for most "Paths" (classes fulfilling the
       
   249      * PathConcept) while the builder is active (after the first modifying
       
   250      * operation and until the commit()) the original Path is in a
       
   251      * "transitional" state (operations on it have undefined result). But
       
   252      * in the case of DirPath the original path remains unchanged until the
       
   253      * commit. However we don't recomend that you use this feature.
       
   254      */
       
   255     class Builder {
       
   256       DirPath &P;
       
   257       Container front, back;
       
   258 
       
   259     public:
       
   260       ///\param _p the path you want to fill in.
       
   261       ///
       
   262       Builder(DirPath &_p) : P(_p) {}
       
   263 
       
   264       /// Sets the starting node of the path.
       
   265 
       
   266       /// Sets the starting node of the path. Edge added to the path
   343       /// Sets the starting node of the path. Edge added to the path
   267       /// afterwards have to be incident to this node.
   344       /// afterwards have to be incident to this node.  It should be
   268       /// It should be called if and only if
   345       /// called if and only if the path is empty and before any call
   269       /// the path is empty and before any call to
   346       /// to \ref pushFront() or \ref pushBack()
   270       /// \ref pushFront() or \ref pushBack()
   347       void setStartNode(const Node &_start) {
   271       void setStartNode(const GraphNode &) {}
   348         LEMON_ASSERT(path.empty() && start == INVALID, PathError());
   272 
   349         start = _start;
   273       ///Push a new edge to the front of the path
   350       }
   274 
   351 
   275       ///Push a new edge to the front of the path.
   352       /// \brief Push a new edge to the front of the path
   276       ///\sa setStartNode
   353       ///
   277       void pushFront(const GraphEdge& e) {
   354       /// Push a new edge to the front of the path.  
       
   355       /// \sa setStartNode
       
   356       void pushFront(const Edge& e) {
       
   357         LEMON_ASSERT(front.empty() || 
       
   358                      (path.graph->source(front.back()) == 
       
   359                       path.graph->target(e)), PathError());
       
   360         LEMON_ASSERT(path.empty() || 
       
   361                      (path.source() == path.graph->target(e)), PathError());
       
   362         LEMON_ASSERT(!path.empty() || !front.empty() ||
       
   363                      (start == path.graph->target(e)), PathError());
   278 	front.push_back(e);
   364 	front.push_back(e);
   279       }
   365       }
   280 
   366 
   281       ///Push a new edge to the back of the path
   367       /// \brief Push a new edge to the back of the path
   282 
   368       ///
   283       ///Push a new edge to the back of the path.
   369       /// Push a new edge to the back of the path.
   284       ///\sa setStartNode
   370       /// \sa setStartNode
   285       void pushBack(const GraphEdge& e) {
   371       void pushBack(const Edge& e) {
       
   372         LEMON_ASSERT(back.empty() || 
       
   373                      (path.graph->target(back.back()) == 
       
   374                       path.graph->source(e)), PathError());
       
   375         LEMON_ASSERT(path.empty() || 
       
   376                      (path.target() == path.graph->source(e)), PathError());
       
   377         LEMON_ASSERT(!path.empty() || !back.empty() ||
       
   378                      (start == path.graph->source(e)), PathError());
   286 	back.push_back(e);
   379 	back.push_back(e);
   287       }
   380       }
   288 
   381 
   289       ///Commit the changes to the path.
   382       /// \brief Commit the changes to the path.
       
   383       ///
       
   384       /// Commit the changes to the path.
   290       void commit() {
   385       void commit() {
   291 	if( !front.empty() || !back.empty() ) {
   386 	if( !front.empty() || !back.empty() || start != INVALID) {
   292 	  Container tmp;
   387 	  Container tmp;
   293 	  tmp.reserve(front.size()+back.size()+P.length());
   388 	  tmp.reserve(front.size() + back.size() + path.length());
   294 	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
   389 	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
   295 	  tmp.insert(tmp.end(), P.edges.begin(), P.edges.end());
   390 	  tmp.insert(tmp.end(), path.edges.begin(), path.edges.end());
   296 	  tmp.insert(tmp.end(), back.begin(), back.end());
   391 	  tmp.insert(tmp.end(), back.begin(), back.end());
   297 	  P.edges.swap(tmp);
   392 	  path.edges.swap(tmp);
       
   393           if (!front.empty()) {
       
   394             path.start = path.graph->source(front.back());
       
   395           } else {
       
   396             path.start = start;
       
   397           }
       
   398           start = INVALID;
   298 	  front.clear();
   399 	  front.clear();
   299 	  back.clear();
   400 	  back.clear();
   300 	}
   401 	}
   301       }
   402       }
   302 
   403 
   303       ///Reserve storage for the builder in advance.
   404       /// \brief Reserve storage for the builder in advance.
   304 
   405       ///
   305       ///If you know a reasonable upper bound of the number of the edges
   406       /// If you know a reasonable upper bound of the number of the
   306       ///to add to the front, using this function you can speed up the building.
   407       /// edges to add to the front, using this function you can speed
   307 
   408       /// up the building.
   308       void reserveFront(size_t r) {front.reserve(r);}
   409       void reserveFront(size_t r) {front.reserve(r);}
   309 
   410 
   310       ///Reserve storage for the builder in advance.
   411       /// \brief Reserve storage for the builder in advance.
   311 
   412       ///
   312       ///If you know a reasonable upper bound of the number of the edges
   413       /// If you know a reasonable upper bound of the number of the
   313       ///to add to the back, using this function you can speed up the building.
   414       /// edges to add to the back, using this function you can speed
   314 
   415       /// up the building.
   315       void reserveBack(size_t r) {back.reserve(r);}
   416       void reserveBack(size_t r) {back.reserve(r);}
   316 
   417 
   317     private:
   418     private:
   318       bool empty() {
   419 
   319 	return front.empty() && back.empty() && P.empty();
   420       Path &path;
   320       }
   421       Container front, back;
   321 
   422       Node start;
   322       GraphNode source() const {
       
   323 	if( ! front.empty() )
       
   324 	  return P.gr->source(front[front.size()-1]);
       
   325 	else if( ! P.empty() )
       
   326 	  return P.gr->source(P.edges[0]);
       
   327 	else if( ! back.empty() )
       
   328 	  return P.gr->source(back[0]);
       
   329 	else
       
   330 	  return INVALID;
       
   331       }
       
   332       GraphNode target() const {
       
   333 	if( ! back.empty() )
       
   334 	  return P.gr->target(back[back.size()-1]);
       
   335 	else if( ! P.empty() )
       
   336 	  return P.gr->target(P.edges[P.length()-1]);
       
   337 	else if( ! front.empty() )
       
   338 	  return P.gr->target(front[0]);
       
   339 	else
       
   340 	  return INVALID;
       
   341       }
       
   342 
   423 
   343     };
   424     };
   344 
   425 
   345   };
   426   };
   346 
   427 
   347 
       
   348 
       
   349 
       
   350 
       
   351 
       
   352 
       
   353 
       
   354 
       
   355 
       
   356   /**********************************************************************/
       
   357 
       
   358 
       
   359   //! \brief A structure for representing undirected path in a graph.
       
   360   //!
       
   361   //! A structure for representing undirected path in a graph. Ie. this is
       
   362   //! a path in a \e directed graph but the edges should not be directed
       
   363   //! forward.
       
   364   //!
       
   365   //! \param Graph The graph type in which the path is.
       
   366   //! \param DM DebugMode, defaults to DefaultDebugMode.
       
   367   //!
       
   368   //! In a sense, the path can be treated as a graph, for is has \c NodeIt
       
   369   //! and \c EdgeIt with the same usage. These types converts to the \c Node
       
   370   //! and \c Edge of the original graph.
       
   371   //!
       
   372   //! \todo Thoroughfully check all the range and consistency tests.
       
   373   /// \todo May we need just path for undirected graph instead of this.
       
   374   template<typename Graph>
       
   375   class UPath {
       
   376   public:
       
   377     /// Edge type of the underlying graph.
       
   378     typedef typename Graph::Edge GraphEdge;
       
   379      /// Node type of the underlying graph.
       
   380    typedef typename Graph::Node GraphNode;
       
   381     class NodeIt;
       
   382     class EdgeIt;
       
   383 
       
   384   protected:
       
   385     const Graph *gr;
       
   386     typedef std::vector<GraphEdge> Container;
       
   387     Container edges;
       
   388 
       
   389   public:
       
   390 
       
   391     /// \param _G The graph in which the path is.
       
   392     ///
       
   393     UPath(const Graph &_G) : gr(&_G) {}
       
   394 
       
   395     /// \brief Subpath constructor.
       
   396     ///
       
   397     /// Subpath defined by two nodes.
       
   398     /// \warning It is an error if the two edges are not in order!
       
   399     UPath(const UPath &P, const NodeIt &a, const NodeIt &b) {
       
   400       gr = P.gr;
       
   401       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
       
   402     }
       
   403 
       
   404     /// \brief Subpath constructor.
       
   405     ///
       
   406     /// Subpath defined by two edges. Contains edges in [a,b)
       
   407     /// \warning It is an error if the two edges are not in order!
       
   408     UPath(const UPath &P, const EdgeIt &a, const EdgeIt &b) {
       
   409       gr = P.gr;
       
   410       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
       
   411     }
       
   412 
       
   413     /// Length of the path.
       
   414     size_t length() const { return edges.size(); }
       
   415     /// Returns whether the path is empty.
       
   416     bool empty() const { return edges.empty(); }
       
   417 
       
   418     /// Resets the path to an empty path.
       
   419     void clear() { edges.clear(); }
       
   420 
       
   421     /// \brief Starting point of the path.
       
   422     ///
       
   423     /// Starting point of the path.
       
   424     /// Returns INVALID if the path is empty.
       
   425     GraphNode source() const {
       
   426       return empty() ? INVALID : gr->source(edges[0]);
       
   427     }
       
   428     /// \brief End point of the path.
       
   429     ///
       
   430     /// End point of the path.
       
   431     /// Returns INVALID if the path is empty.
       
   432     GraphNode target() const {
       
   433       return empty() ? INVALID : gr->target(edges[length()-1]);
       
   434     }
       
   435 
       
   436     /// \brief Initializes node or edge iterator to point to the first
       
   437     /// node or edge.
       
   438     ///
       
   439     /// \sa nth
       
   440     template<typename It>
       
   441     It& first(It &i) const { return i=It(*this); }
       
   442 
       
   443     /// \brief Initializes node iterator to point to the node of a given index.
       
   444     NodeIt& nth(NodeIt &i, int n) const {
       
   445       return i=NodeIt(*this, n);
       
   446     }
       
   447 
       
   448     /// \brief Initializes edge iterator to point to the edge of a given index.
       
   449     EdgeIt& nth(EdgeIt &i, int n) const {
       
   450       return i=EdgeIt(*this, n);
       
   451     }
       
   452 
       
   453     /// Checks validity of a node or edge iterator.
       
   454     template<typename It>
       
   455     static
       
   456     bool valid(const It &i) { return i.valid(); }
       
   457 
       
   458     /// Steps the given node or edge iterator.
       
   459     template<typename It>
       
   460     static
       
   461     It& next(It &e) {
       
   462       return ++e;
       
   463     }
       
   464 
       
   465     /// \brief Returns node iterator pointing to the target node of the
       
   466     /// given edge iterator.
       
   467     NodeIt target(const EdgeIt& e) const {
       
   468       return NodeIt(*this, e.idx+1);
       
   469     }
       
   470 
       
   471     /// \brief Returns node iterator pointing to the source node of the
       
   472     /// given edge iterator.
       
   473     NodeIt source(const EdgeIt& e) const {
       
   474       return NodeIt(*this, e.idx);
       
   475     }
       
   476 
       
   477 
       
   478 
       
   479     /**
       
   480      * \brief Iterator class to iterate on the edges of the paths
       
   481      *
       
   482      * This class is used to iterate on the edges of the paths
       
   483      *
       
   484      * Of course it converts to Graph::Edge
       
   485      *
       
   486      * \todo Its interface differs from the standard edge iterator.
       
   487      * Yes, it shouldn't.
       
   488      */
       
   489     class EdgeIt {
       
   490       friend class UPath;
       
   491 
       
   492       int idx;
       
   493       const UPath *p;
       
   494     public:
       
   495       /// Default constructor
       
   496       EdgeIt() {}
       
   497       /// Invalid constructor
       
   498       EdgeIt(Invalid) : idx(-1), p(0) {}
       
   499       /// Constructor with starting point
       
   500       EdgeIt(const UPath &_p, int _idx = 0) :
       
   501 	idx(_idx), p(&_p) { validate(); }
       
   502 
       
   503       ///Validity check
       
   504       bool valid() const { return idx!=-1; }
       
   505 
       
   506       ///Conversion to Graph::Edge
       
   507       operator GraphEdge () const {
       
   508 	return valid() ? p->edges[idx] : INVALID;
       
   509       }
       
   510       /// Next edge
       
   511      EdgeIt& operator++() { ++idx; validate(); return *this; }
       
   512 
       
   513       /// Comparison operator
       
   514       bool operator==(const EdgeIt& e) const { return idx==e.idx; }
       
   515       /// Comparison operator
       
   516       bool operator!=(const EdgeIt& e) const { return idx!=e.idx; }
       
   517       /// Comparison operator
       
   518       bool operator<(const EdgeIt& e) const { return idx<e.idx; }
       
   519 
       
   520     private:
       
   521       // FIXME: comparison between signed and unsigned...
       
   522       // Jo ez igy? Vagy esetleg legyen a length() int?
       
   523       void validate() { if( size_t(idx) >= p->length() ) idx=-1; }
       
   524     };
       
   525 
       
   526     /**
       
   527      * \brief Iterator class to iterate on the nodes of the paths
       
   528      *
       
   529      * This class is used to iterate on the nodes of the paths
       
   530      *
       
   531      * Of course it converts to Graph::Node
       
   532      *
       
   533      * \todo Its interface differs from the standard node iterator.
       
   534      * Yes, it shouldn't.
       
   535      */
       
   536     class NodeIt {
       
   537       friend class UPath;
       
   538 
       
   539       int idx;
       
   540       const UPath *p;
       
   541     public:
       
   542       /// Default constructor
       
   543       NodeIt() {}
       
   544       /// Invalid constructor
       
   545       NodeIt(Invalid) : idx(-1), p(0) {}
       
   546       /// Constructor with starting point
       
   547       NodeIt(const UPath &_p, int _idx = 0) :
       
   548 	idx(_idx), p(&_p) { validate(); }
       
   549 
       
   550       ///Validity check
       
   551       bool valid() const { return idx!=-1; }
       
   552 
       
   553       ///Conversion to Graph::Node
       
   554       operator const GraphNode& () const {
       
   555 	if(idx >= p->length())
       
   556 	  return p->target();
       
   557 	else if(idx >= 0)
       
   558 	  return p->gr->source(p->edges[idx]);
       
   559 	else
       
   560 	  return INVALID;
       
   561       }
       
   562       /// Next node
       
   563       NodeIt& operator++() { ++idx; validate(); return *this; }
       
   564 
       
   565       /// Comparison operator
       
   566       bool operator==(const NodeIt& e) const { return idx==e.idx; }
       
   567       /// Comparison operator
       
   568       bool operator!=(const NodeIt& e) const { return idx!=e.idx; }
       
   569        /// Comparison operator
       
   570      bool operator<(const NodeIt& e) const { return idx<e.idx; }
       
   571 
       
   572     private:
       
   573       void validate() { if( size_t(idx) > p->length() ) idx=-1; }
       
   574     };
       
   575 
       
   576     friend class Builder;
       
   577 
       
   578     /**
       
   579      * \brief Class to build paths
       
   580      *
       
   581      * This class is used to fill a path with edges.
       
   582      *
       
   583      * You can push new edges to the front and to the back of the path in
       
   584      * arbitrary order then you should commit these changes to the graph.
       
   585      *
       
   586      * Fundamentally, for most "Paths" (classes fulfilling the
       
   587      * PathConcept) while the builder is active (after the first modifying
       
   588      * operation and until the commit()) the original Path is in a
       
   589      * "transitional" state (operations ot it have undefined result). But
       
   590      * in the case of UPath the original path is unchanged until the
       
   591      * commit. However we don't recomend that you use this feature.
       
   592      */
       
   593     class Builder {
       
   594       UPath &P;
       
   595       Container front, back;
       
   596 
       
   597     public:
       
   598       ///\param _p the path you want to fill in.
       
   599       ///
       
   600       Builder(UPath &_p) : P(_p) {}
       
   601 
       
   602       /// Sets the starting node of the path.
       
   603 
       
   604       /// Sets the starting node of the path. Edge added to the path
       
   605       /// afterwards have to be incident to this node.
       
   606       /// It should be called if and only if
       
   607       /// the path is empty and before any call to
       
   608       /// \ref pushFront() or \ref pushBack()
       
   609       void setStartNode(const GraphNode &) {}
       
   610 
       
   611       ///Push a new edge to the front of the path
       
   612 
       
   613       ///Push a new edge to the front of the path.
       
   614       ///\sa setStartNode
       
   615       void pushFront(const GraphEdge& e) {
       
   616 	front.push_back(e);
       
   617       }
       
   618 
       
   619       ///Push a new edge to the back of the path
       
   620 
       
   621       ///Push a new edge to the back of the path.
       
   622       ///\sa setStartNode
       
   623       void pushBack(const GraphEdge& e) {
       
   624 	back.push_back(e);
       
   625       }
       
   626 
       
   627       ///Commit the changes to the path.
       
   628       void commit() {
       
   629 	if( !(front.empty() && back.empty()) ) {
       
   630 	  Container tmp;
       
   631 	  tmp.reserve(front.size()+back.size()+P.length());
       
   632 	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
       
   633 	  tmp.insert(tmp.end(), P.edges.begin(), P.edges.end());
       
   634 	  tmp.insert(tmp.end(), back.begin(), back.end());
       
   635 	  P.edges.swap(tmp);
       
   636 	  front.clear();
       
   637 	  back.clear();
       
   638 	}
       
   639       }
       
   640 
       
   641 
       
   642       ///Reserve storage for the builder in advance.
       
   643 
       
   644       ///If you know a reasonable upper bound of the number of the edges
       
   645       ///to add to the front, using this function you can speed up the building.
       
   646 
       
   647       void reserveFront(size_t r) {front.reserve(r);}
       
   648 
       
   649       ///Reserve storage for the builder in advance.
       
   650 
       
   651       ///If you know a reasonable upper bound of the number of the edges
       
   652       ///to add to the back, using this function you can speed up the building.
       
   653 
       
   654       void reserveBack(size_t r) {back.reserve(r);}
       
   655 
       
   656     private:
       
   657       bool empty() {
       
   658 	return front.empty() && back.empty() && P.empty();
       
   659       }
       
   660 
       
   661       GraphNode source() const {
       
   662 	if( ! front.empty() )
       
   663 	  return P.gr->source(front[front.size()-1]);
       
   664 	else if( ! P.empty() )
       
   665 	  return P.gr->source(P.edges[0]);
       
   666 	else if( ! back.empty() )
       
   667 	  return P.gr->source(back[0]);
       
   668 	else
       
   669 	  return INVALID;
       
   670       }
       
   671       GraphNode target() const {
       
   672 	if( ! back.empty() )
       
   673 	  return P.gr->target(back[back.size()-1]);
       
   674 	else if( ! P.empty() )
       
   675 	  return P.gr->target(P.edges[P.length()-1]);
       
   676 	else if( ! front.empty() )
       
   677 	  return P.gr->target(front[0]);
       
   678 	else
       
   679 	  return INVALID;
       
   680       }
       
   681 
       
   682     };
       
   683 
       
   684   };
       
   685 
       
   686 
       
   687   ///@}
   428   ///@}
   688 
   429 
   689 } // namespace lemon
   430 } // namespace lemon
   690 
   431 
   691 #endif // LEMON_PATH_H
   432 #endif // LEMON_PATH_H