src/hugo/path.h
author deba
Mon, 13 Sep 2004 20:05:13 +0000
changeset 844 9bf990cb066d
parent 835 eb9587f09b42
child 852 d50d89b86870
permissions -rw-r--r--
Bug fix in the symmetric maps.
Faster map initialization.
Iterators and Containers STL compatible.
     1 // -*- c++ -*- //
     2 
     3 /**
     4 @defgroup paths Path Structures
     5 @ingroup datas
     6 \brief Path structures implemented in Hugo.
     7 
     8 Hugolib provides flexible data structures
     9 to work with paths.
    10 
    11 All of them have the same interface, especially they can be built or extended
    12 using a standard Builder subclass. This make is easy to have e.g. the Dijkstra
    13 algorithm to store its result in any kind of path structure.
    14 
    15 \sa hugo::skeleton::Path
    16 
    17 */
    18 
    19 ///\ingroup paths
    20 ///\file
    21 ///\brief Classes for representing paths in graphs.
    22 
    23 #ifndef HUGO_PATH_H
    24 #define HUGO_PATH_H
    25 
    26 #include <deque>
    27 #include <vector>
    28 #include <algorithm>
    29 
    30 #include <hugo/invalid.h>
    31 
    32 namespace hugo {
    33 
    34   /// \addtogroup paths
    35   /// @{
    36 
    37 
    38   //! \brief A structure for representing directed paths in a graph.
    39   //!
    40   //! A structure for representing directed path in a graph.
    41   //! \param Graph The graph type in which the path is.
    42   //! \param DM DebugMode, defaults to DefaultDebugMode.
    43   //!
    44   //! In a sense, the path can be treated as a graph, for is has \c NodeIt
    45   //! and \c EdgeIt with the same usage. These types converts to the \c Node
    46   //! and \c Edge of the original graph.
    47   //!
    48   //! \todo Thoroughfully check all the range and consistency tests.
    49   template<typename Graph>
    50   class DirPath {
    51   public:
    52     /// Edge type of the underlying graph.
    53     typedef typename Graph::Edge GraphEdge;
    54     /// Node type of the underlying graph.
    55     typedef typename Graph::Node GraphNode;
    56     class NodeIt;
    57     class EdgeIt;
    58 
    59   protected:
    60     const Graph *gr;
    61     typedef std::vector<GraphEdge> Container;
    62     Container edges;
    63 
    64   public:
    65 
    66     /// \param _G The graph in which the path is.
    67     ///
    68     DirPath(const Graph &_G) : gr(&_G) {}
    69 
    70     /// \brief Subpath constructor.
    71     ///
    72     /// Subpath defined by two nodes.
    73     /// \warning It is an error if the two edges are not in order!
    74     DirPath(const DirPath &P, const NodeIt &a, const NodeIt &b) {
    75       gr = P.gr;
    76       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
    77     }
    78 
    79     /// \brief Subpath constructor.
    80     ///
    81     /// Subpath defined by two edges. Contains edges in [a,b)
    82     /// \warning It is an error if the two edges are not in order!
    83     DirPath(const DirPath &P, const EdgeIt &a, const EdgeIt &b) {
    84       gr = P.gr;
    85       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
    86     }
    87 
    88     /// Length of the path.
    89     size_t length() const { return edges.size(); }
    90     /// Returns whether the path is empty.
    91     bool empty() const { return edges.empty(); }
    92 
    93     /// Resets the path to an empty path.
    94     void clear() { edges.clear(); }
    95 
    96     /// \brief Starting point of the path.
    97     ///
    98     /// Starting point of the path.
    99     /// Returns INVALID if the path is empty.
   100     GraphNode tail() const {
   101       return empty() ? INVALID : gr->tail(edges[0]);
   102     }
   103     /// \brief End point of the path.
   104     ///
   105     /// End point of the path.
   106     /// Returns INVALID if the path is empty.
   107     GraphNode head() const {
   108       return empty() ? INVALID : gr->head(edges[length()-1]);
   109     }
   110 
   111     /// \brief Initializes node or edge iterator to point to the first
   112     /// node or edge.
   113     ///
   114     /// \sa nth
   115     template<typename It>
   116     It& first(It &i) const { return i=It(*this); }
   117 
   118     /// \brief Initializes node iterator to point to the node of a given index.
   119     NodeIt& nth(NodeIt &i, int n) const {
   120       return i=NodeIt(*this, n);
   121     }
   122 
   123     /// \brief Initializes edge iterator to point to the edge of a given index.
   124     EdgeIt& nth(EdgeIt &i, int n) const {
   125       return i=EdgeIt(*this, n);
   126     }
   127 
   128     /// Checks validity of a node or edge iterator.
   129     template<typename It>
   130     static
   131     bool valid(const It &i) { return i.valid(); }
   132 
   133     /// Steps the given node or edge iterator.
   134     template<typename It>
   135     static
   136     It& next(It &e) {
   137       return ++e;
   138     }
   139 
   140     /// \brief Returns node iterator pointing to the head node of the
   141     /// given edge iterator.
   142     NodeIt head(const EdgeIt& e) const {
   143       return NodeIt(*this, e.idx+1);
   144     }
   145 
   146     /// \brief Returns node iterator pointing to the tail node of the
   147     /// given edge iterator.
   148     NodeIt tail(const EdgeIt& e) const {
   149       return NodeIt(*this, e.idx);
   150     }
   151 
   152 
   153     /* Iterator classes */
   154 
   155     /**
   156      * \brief Iterator class to iterate on the edges of the paths
   157      *
   158      * \ingroup paths
   159      * This class is used to iterate on the edges of the paths
   160      *
   161      * Of course it converts to Graph::Edge
   162      *
   163      * \todo Its interface differs from the standard edge iterator.
   164      * Yes, it shouldn't.
   165      */
   166     class EdgeIt {
   167       friend class DirPath;
   168 
   169       int idx;
   170       const DirPath *p;
   171     public:
   172       /// Default constructor
   173       EdgeIt() {}
   174       /// Invalid constructor
   175       EdgeIt(Invalid) : idx(-1), p(0) {}
   176       /// Constructor with starting point
   177       EdgeIt(const DirPath &_p, int _idx = 0) :
   178 	idx(_idx), p(&_p) { validate(); }
   179 
   180       ///Validity check
   181       bool valid() const { return idx!=-1; }
   182 
   183       ///Conversion to Graph::Edge
   184       operator GraphEdge () const {
   185 	return valid() ? p->edges[idx] : INVALID;
   186       }
   187 
   188       /// Next edge
   189       EdgeIt& operator++() { ++idx; validate(); return *this; }
   190 
   191       /// Comparison operator
   192       bool operator==(const EdgeIt& e) const { return idx==e.idx; }
   193       /// Comparison operator
   194       bool operator!=(const EdgeIt& e) const { return idx!=e.idx; }
   195       /// Comparison operator
   196       bool operator<(const EdgeIt& e) const { return idx<e.idx; }
   197 
   198     private:
   199       // FIXME: comparison between signed and unsigned...
   200       // Jo ez igy? Vagy esetleg legyen a length() int?
   201       void validate() { if( size_t(idx) >= p->length() ) idx=-1; }
   202     };
   203 
   204     /**
   205      * \brief Iterator class to iterate on the nodes of the paths
   206      *
   207      * \ingroup paths
   208      * This class is used to iterate on the nodes of the paths
   209      *
   210      * Of course it converts to Graph::Node
   211      *
   212      * \todo Its interface differs from the standard node iterator.
   213      * Yes, it shouldn't.
   214      */
   215     class NodeIt {
   216       friend class DirPath;
   217 
   218       int idx;
   219       const DirPath *p;
   220     public:
   221       /// Default constructor
   222       NodeIt() {}
   223       /// Invalid constructor
   224       NodeIt(Invalid) : idx(-1), p(0) {}
   225       /// Constructor with starting point
   226       NodeIt(const DirPath &_p, int _idx = 0) :
   227 	idx(_idx), p(&_p) { validate(); }
   228 
   229       ///Validity check
   230       bool valid() const { return idx!=-1; }
   231 
   232       ///Conversion to Graph::Node
   233       operator const GraphNode& () const {
   234 	if(idx >= p->length())
   235 	  return p->head();
   236 	else if(idx >= 0)
   237 	  return p->gr->tail(p->edges[idx]);
   238 	else
   239 	  return INVALID;
   240       }
   241       /// Next node
   242       NodeIt& operator++() { ++idx; validate(); return *this; }
   243 
   244       /// Comparison operator
   245       bool operator==(const NodeIt& e) const { return idx==e.idx; }
   246       /// Comparison operator
   247       bool operator!=(const NodeIt& e) const { return idx!=e.idx; }
   248       /// Comparison operator
   249       bool operator<(const NodeIt& e) const { return idx<e.idx; }
   250 
   251     private:
   252       void validate() { if( size_t(idx) > p->length() ) idx=-1; }
   253     };
   254 
   255     friend class Builder;
   256 
   257     /**
   258      * \brief Class to build paths
   259      *
   260      * \ingroup paths
   261      * This class is used to fill a path with edges.
   262      *
   263      * You can push new edges to the front and to the back of the path in
   264      * arbitrary order then you should commit these changes to the graph.
   265      *
   266      * Fundamentally, for most "Paths" (classes fulfilling the
   267      * PathConcept) while the builder is active (after the first modifying
   268      * operation and until the commit()) the original Path is in a
   269      * "transitional" state (operations on it have undefined result). But
   270      * in the case of DirPath the original path remains unchanged until the
   271      * commit. However we don't recomend that you use this feature.
   272      */
   273     class Builder {
   274       DirPath &P;
   275       Container front, back;
   276 
   277     public:
   278       ///\param _P the path you want to fill in.
   279       ///
   280       Builder(DirPath &_P) : P(_P) {}
   281 
   282       /// Sets the starting node of the path.
   283 
   284       /// Sets the starting node of the path. Edge added to the path
   285       /// afterwards have to be incident to this node.
   286       /// It should be called iff the path is empty and before any call to
   287       /// \ref pushFront() or \ref pushBack()
   288       void setStartNode(const GraphNode &) {}
   289 
   290       ///Push a new edge to the front of the path
   291 
   292       ///Push a new edge to the front of the path.
   293       ///\sa setStartNode
   294       void pushFront(const GraphEdge& e) {
   295 	front.push_back(e);
   296       }
   297 
   298       ///Push a new edge to the back of the path
   299 
   300       ///Push a new edge to the back of the path.
   301       ///\sa setStartNode
   302       void pushBack(const GraphEdge& e) {
   303 	back.push_back(e);
   304       }
   305 
   306       ///Commit the changes to the path.
   307       void commit() {
   308 	if( !front.empty() || !back.empty() ) {
   309 	  Container tmp;
   310 	  tmp.reserve(front.size()+back.size()+P.length());
   311 	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
   312 	  tmp.insert(tmp.end(), P.edges.begin(), P.edges.end());
   313 	  tmp.insert(tmp.end(), back.begin(), back.end());
   314 	  P.edges.swap(tmp);
   315 	  front.clear();
   316 	  back.clear();
   317 	}
   318       }
   319 
   320       ///Reserve storage for the builder in advance.
   321 
   322       ///If you know a reasonable upper bound of the number of the edges
   323       ///to add to the front, using this function you can speed up the building.
   324 
   325       void reserveFront(size_t r) {front.reserve(r);}
   326 
   327       ///Reserve storage for the builder in advance.
   328 
   329       ///If you know a reasonable upper bound of the number of the edges
   330       ///to add to the back, using this function you can speed up the building.
   331 
   332       void reserveBack(size_t r) {back.reserve(r);}
   333 
   334     private:
   335       bool empty() {
   336 	return front.empty() && back.empty() && P.empty();
   337       }
   338 
   339       GraphNode tail() const {
   340 	if( ! front.empty() )
   341 	  return P.gr->tail(front[front.size()-1]);
   342 	else if( ! P.empty() )
   343 	  return P.gr->tail(P.edges[0]);
   344 	else if( ! back.empty() )
   345 	  return P.gr->tail(back[0]);
   346 	else
   347 	  return INVALID;
   348       }
   349       GraphNode head() const {
   350 	if( ! back.empty() )
   351 	  return P.gr->head(back[back.size()-1]);
   352 	else if( ! P.empty() )
   353 	  return P.gr->head(P.edges[P.length()-1]);
   354 	else if( ! front.empty() )
   355 	  return P.gr->head(front[0]);
   356 	else
   357 	  return INVALID;
   358       }
   359 
   360     };
   361 
   362   };
   363 
   364 
   365 
   366 
   367 
   368 
   369 
   370 
   371 
   372 
   373   /**********************************************************************/
   374 
   375 
   376   //! \brief A structure for representing undirected path in a graph.
   377   //!
   378   //! A structure for representing undirected path in a graph. Ie. this is
   379   //! a path in a \e directed graph but the edges should not be directed
   380   //! forward.
   381   //!
   382   //! \param Graph The graph type in which the path is.
   383   //! \param DM DebugMode, defaults to DefaultDebugMode.
   384   //!
   385   //! In a sense, the path can be treated as a graph, for is has \c NodeIt
   386   //! and \c EdgeIt with the same usage. These types converts to the \c Node
   387   //! and \c Edge of the original graph.
   388   //!
   389   //! \todo Thoroughfully check all the range and consistency tests.
   390   template<typename Graph>
   391   class UndirPath {
   392   public:
   393     /// Edge type of the underlying graph.
   394     typedef typename Graph::Edge GraphEdge;
   395      /// Node type of the underlying graph.
   396    typedef typename Graph::Node GraphNode;
   397     class NodeIt;
   398     class EdgeIt;
   399 
   400   protected:
   401     const Graph *gr;
   402     typedef std::vector<GraphEdge> Container;
   403     Container edges;
   404 
   405   public:
   406 
   407     /// \param _G The graph in which the path is.
   408     ///
   409     UndirPath(const Graph &_G) : gr(&_G) {}
   410 
   411     /// \brief Subpath constructor.
   412     ///
   413     /// Subpath defined by two nodes.
   414     /// \warning It is an error if the two edges are not in order!
   415     UndirPath(const UndirPath &P, const NodeIt &a, const NodeIt &b) {
   416       gr = P.gr;
   417       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
   418     }
   419 
   420     /// \brief Subpath constructor.
   421     ///
   422     /// Subpath defined by two edges. Contains edges in [a,b)
   423     /// \warning It is an error if the two edges are not in order!
   424     UndirPath(const UndirPath &P, const EdgeIt &a, const EdgeIt &b) {
   425       gr = P.gr;
   426       edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
   427     }
   428 
   429     /// Length of the path.
   430     size_t length() const { return edges.size(); }
   431     /// Returns whether the path is empty.
   432     bool empty() const { return edges.empty(); }
   433 
   434     /// Resets the path to an empty path.
   435     void clear() { edges.clear(); }
   436 
   437     /// \brief Starting point of the path.
   438     ///
   439     /// Starting point of the path.
   440     /// Returns INVALID if the path is empty.
   441     GraphNode tail() const {
   442       return empty() ? INVALID : gr->tail(edges[0]);
   443     }
   444     /// \brief End point of the path.
   445     ///
   446     /// End point of the path.
   447     /// Returns INVALID if the path is empty.
   448     GraphNode head() const {
   449       return empty() ? INVALID : gr->head(edges[length()-1]);
   450     }
   451 
   452     /// \brief Initializes node or edge iterator to point to the first
   453     /// node or edge.
   454     ///
   455     /// \sa nth
   456     template<typename It>
   457     It& first(It &i) const { return i=It(*this); }
   458 
   459     /// \brief Initializes node iterator to point to the node of a given index.
   460     NodeIt& nth(NodeIt &i, int n) const {
   461       return i=NodeIt(*this, n);
   462     }
   463 
   464     /// \brief Initializes edge iterator to point to the edge of a given index.
   465     EdgeIt& nth(EdgeIt &i, int n) const {
   466       return i=EdgeIt(*this, n);
   467     }
   468 
   469     /// Checks validity of a node or edge iterator.
   470     template<typename It>
   471     static
   472     bool valid(const It &i) { return i.valid(); }
   473 
   474     /// Steps the given node or edge iterator.
   475     template<typename It>
   476     static
   477     It& next(It &e) {
   478       return ++e;
   479     }
   480 
   481     /// \brief Returns node iterator pointing to the head node of the
   482     /// given edge iterator.
   483     NodeIt head(const EdgeIt& e) const {
   484       return NodeIt(*this, e.idx+1);
   485     }
   486 
   487     /// \brief Returns node iterator pointing to the tail node of the
   488     /// given edge iterator.
   489     NodeIt tail(const EdgeIt& e) const {
   490       return NodeIt(*this, e.idx);
   491     }
   492 
   493 
   494 
   495     /**
   496      * \brief Iterator class to iterate on the edges of the paths
   497      *
   498      * \ingroup paths
   499      * This class is used to iterate on the edges of the paths
   500      *
   501      * Of course it converts to Graph::Edge
   502      *
   503      * \todo Its interface differs from the standard edge iterator.
   504      * Yes, it shouldn't.
   505      */
   506     class EdgeIt {
   507       friend class UndirPath;
   508 
   509       int idx;
   510       const UndirPath *p;
   511     public:
   512       /// Default constructor
   513       EdgeIt() {}
   514       /// Invalid constructor
   515       EdgeIt(Invalid) : idx(-1), p(0) {}
   516       /// Constructor with starting point
   517       EdgeIt(const UndirPath &_p, int _idx = 0) :
   518 	idx(_idx), p(&_p) { validate(); }
   519 
   520       ///Validity check
   521       bool valid() const { return idx!=-1; }
   522 
   523       ///Conversion to Graph::Edge
   524       operator GraphEdge () const {
   525 	return valid() ? p->edges[idx] : INVALID;
   526       }
   527       /// Next edge
   528      EdgeIt& operator++() { ++idx; validate(); return *this; }
   529 
   530       /// Comparison operator
   531       bool operator==(const EdgeIt& e) const { return idx==e.idx; }
   532       /// Comparison operator
   533       bool operator!=(const EdgeIt& e) const { return idx!=e.idx; }
   534       /// Comparison operator
   535       bool operator<(const EdgeIt& e) const { return idx<e.idx; }
   536 
   537     private:
   538       // FIXME: comparison between signed and unsigned...
   539       // Jo ez igy? Vagy esetleg legyen a length() int?
   540       void validate() { if( size_t(idx) >= p->length() ) idx=-1; }
   541     };
   542 
   543     /**
   544      * \brief Iterator class to iterate on the nodes of the paths
   545      *
   546      * \ingroup paths
   547      * This class is used to iterate on the nodes of the paths
   548      *
   549      * Of course it converts to Graph::Node
   550      *
   551      * \todo Its interface differs from the standard node iterator.
   552      * Yes, it shouldn't.
   553      */
   554     class NodeIt {
   555       friend class UndirPath;
   556 
   557       int idx;
   558       const UndirPath *p;
   559     public:
   560       /// Default constructor
   561       NodeIt() {}
   562       /// Invalid constructor
   563       NodeIt(Invalid) : idx(-1), p(0) {}
   564       /// Constructor with starting point
   565       NodeIt(const UndirPath &_p, int _idx = 0) :
   566 	idx(_idx), p(&_p) { validate(); }
   567 
   568       ///Validity check
   569       bool valid() const { return idx!=-1; }
   570 
   571       ///Conversion to Graph::Node
   572       operator const GraphNode& () const {
   573 	if(idx >= p->length())
   574 	  return p->head();
   575 	else if(idx >= 0)
   576 	  return p->gr->tail(p->edges[idx]);
   577 	else
   578 	  return INVALID;
   579       }
   580       /// Next node
   581       NodeIt& operator++() { ++idx; validate(); return *this; }
   582 
   583       /// Comparison operator
   584       bool operator==(const NodeIt& e) const { return idx==e.idx; }
   585       /// Comparison operator
   586       bool operator!=(const NodeIt& e) const { return idx!=e.idx; }
   587        /// Comparison operator
   588      bool operator<(const NodeIt& e) const { return idx<e.idx; }
   589 
   590     private:
   591       void validate() { if( size_t(idx) > p->length() ) idx=-1; }
   592     };
   593 
   594     friend class Builder;
   595 
   596     /**
   597      * \brief Class to build paths
   598      *
   599      * \ingroup paths
   600      * This class is used to fill a path with edges.
   601      *
   602      * You can push new edges to the front and to the back of the path in
   603      * arbitrary order then you should commit these changes to the graph.
   604      *
   605      * Fundamentally, for most "Paths" (classes fulfilling the
   606      * PathConcept) while the builder is active (after the first modifying
   607      * operation and until the commit()) the original Path is in a
   608      * "transitional" state (operations ot it have undefined result). But
   609      * in the case of UndirPath the original path is unchanged until the
   610      * commit. However we don't recomend that you use this feature.
   611      */
   612     class Builder {
   613       UndirPath &P;
   614       Container front, back;
   615 
   616     public:
   617       ///\param _P the path you want to fill in.
   618       ///
   619       Builder(UndirPath &_P) : P(_P) {}
   620 
   621       /// Sets the starting node of the path.
   622 
   623       /// Sets the starting node of the path. Edge added to the path
   624       /// afterwards have to be incident to this node.
   625       /// It should be called iff the path is empty and before any call to
   626       /// \ref pushFront() or \ref pushBack()
   627       void setStartNode(const GraphNode &) {}
   628 
   629       ///Push a new edge to the front of the path
   630 
   631       ///Push a new edge to the front of the path.
   632       ///\sa setStartNode
   633       void pushFront(const GraphEdge& e) {
   634 	front.push_back(e);
   635       }
   636 
   637       ///Push a new edge to the back of the path
   638 
   639       ///Push a new edge to the back of the path.
   640       ///\sa setStartNode
   641       void pushBack(const GraphEdge& e) {
   642 	back.push_back(e);
   643       }
   644 
   645       ///Commit the changes to the path.
   646       void commit() {
   647 	if( !(front.empty() && back.empty()) ) {
   648 	  Container tmp;
   649 	  tmp.reserve(front.size()+back.size()+P.length());
   650 	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
   651 	  tmp.insert(tmp.end(), P.edges.begin(), P.edges.end());
   652 	  tmp.insert(tmp.end(), back.begin(), back.end());
   653 	  P.edges.swap(tmp);
   654 	  front.clear();
   655 	  back.clear();
   656 	}
   657       }
   658 
   659 
   660       ///Reserve storage for the builder in advance.
   661 
   662       ///If you know a reasonable upper bound of the number of the edges
   663       ///to add to the front, using this function you can speed up the building.
   664 
   665       void reserveFront(size_t r) {front.reserve(r);}
   666 
   667       ///Reserve storage for the builder in advance.
   668 
   669       ///If you know a reasonable upper bound of the number of the edges
   670       ///to add to the back, using this function you can speed up the building.
   671 
   672       void reserveBack(size_t r) {back.reserve(r);}
   673 
   674     private:
   675       bool empty() {
   676 	return front.empty() && back.empty() && P.empty();
   677       }
   678 
   679       GraphNode tail() const {
   680 	if( ! front.empty() )
   681 	  return P.gr->tail(front[front.size()-1]);
   682 	else if( ! P.empty() )
   683 	  return P.gr->tail(P.edges[0]);
   684 	else if( ! back.empty() )
   685 	  return P.gr->tail(back[0]);
   686 	else
   687 	  return INVALID;
   688       }
   689       GraphNode head() const {
   690 	if( ! back.empty() )
   691 	  return P.gr->head(back[back.size()-1]);
   692 	else if( ! P.empty() )
   693 	  return P.gr->head(P.edges[P.length()-1]);
   694 	else if( ! front.empty() )
   695 	  return P.gr->head(front[0]);
   696 	else
   697 	  return INVALID;
   698       }
   699 
   700     };
   701 
   702   };
   703 
   704 
   705   ///@}
   706 
   707 } // namespace hugo
   708 
   709 #endif // HUGO_PATH_H