lemon/core.h
changeset 282 dc9e8d2c0df9
parent 233 28239207a8a3
child 304 8c05947fc107
     1.1 --- a/lemon/core.h	Tue Sep 23 18:42:49 2008 +0200
     1.2 +++ b/lemon/core.h	Fri Sep 26 13:46:49 2008 +0200
     1.3 @@ -58,10 +58,10 @@
     1.4    /// \addtogroup gutils
     1.5    /// @{
     1.6  
     1.7 -  ///Creates convenience typedefs for the digraph types and iterators
     1.8 +  ///Create convenient typedefs for the digraph types and iterators
     1.9  
    1.10 -  ///This \c \#define creates convenience typedefs for the following types
    1.11 -  ///of \c Digraph: \c Node,  \c NodeIt, \c Arc, \c ArcIt, \c InArcIt,
    1.12 +  ///This \c \#define creates convenient type definitions for the following
    1.13 +  ///types of \c Digraph: \c Node,  \c NodeIt, \c Arc, \c ArcIt, \c InArcIt,
    1.14    ///\c OutArcIt, \c BoolNodeMap, \c IntNodeMap, \c DoubleNodeMap,
    1.15    ///\c BoolArcMap, \c IntArcMap, \c DoubleArcMap.
    1.16    ///
    1.17 @@ -80,9 +80,9 @@
    1.18    typedef Digraph::NodeMap<double> DoubleNodeMap;                       \
    1.19    typedef Digraph::ArcMap<bool> BoolArcMap;                             \
    1.20    typedef Digraph::ArcMap<int> IntArcMap;                               \
    1.21 -  typedef Digraph::ArcMap<double> DoubleArcMap
    1.22 +  typedef Digraph::ArcMap<double> DoubleArcMap;
    1.23  
    1.24 -  ///Creates convenience typedefs for the digraph types and iterators
    1.25 +  ///Create convenient typedefs for the digraph types and iterators
    1.26  
    1.27    ///\see DIGRAPH_TYPEDEFS
    1.28    ///
    1.29 @@ -100,17 +100,17 @@
    1.30    typedef typename Digraph::template NodeMap<double> DoubleNodeMap;     \
    1.31    typedef typename Digraph::template ArcMap<bool> BoolArcMap;           \
    1.32    typedef typename Digraph::template ArcMap<int> IntArcMap;             \
    1.33 -  typedef typename Digraph::template ArcMap<double> DoubleArcMap
    1.34 +  typedef typename Digraph::template ArcMap<double> DoubleArcMap;
    1.35  
    1.36 -  ///Creates convenience typedefs for the graph types and iterators
    1.37 +  ///Create convenient typedefs for the graph types and iterators
    1.38  
    1.39 -  ///This \c \#define creates the same convenience typedefs as defined
    1.40 +  ///This \c \#define creates the same convenient type definitions as defined
    1.41    ///by \ref DIGRAPH_TYPEDEFS(Graph) and six more, namely it creates
    1.42    ///\c Edge, \c EdgeIt, \c IncEdgeIt, \c BoolEdgeMap, \c IntEdgeMap,
    1.43    ///\c DoubleEdgeMap.
    1.44    ///
    1.45    ///\note If the graph type is a dependent type, ie. the graph type depend
    1.46 -  ///on a template parameter, then use \c TEMPLATE_DIGRAPH_TYPEDEFS()
    1.47 +  ///on a template parameter, then use \c TEMPLATE_GRAPH_TYPEDEFS()
    1.48    ///macro.
    1.49  #define GRAPH_TYPEDEFS(Graph)                                           \
    1.50    DIGRAPH_TYPEDEFS(Graph);                                              \
    1.51 @@ -119,9 +119,9 @@
    1.52    typedef Graph::IncEdgeIt IncEdgeIt;                                   \
    1.53    typedef Graph::EdgeMap<bool> BoolEdgeMap;                             \
    1.54    typedef Graph::EdgeMap<int> IntEdgeMap;                               \
    1.55 -  typedef Graph::EdgeMap<double> DoubleEdgeMap
    1.56 +  typedef Graph::EdgeMap<double> DoubleEdgeMap;
    1.57  
    1.58 -  ///Creates convenience typedefs for the graph types and iterators
    1.59 +  ///Create convenient typedefs for the graph types and iterators
    1.60  
    1.61    ///\see GRAPH_TYPEDEFS
    1.62    ///
    1.63 @@ -134,12 +134,12 @@
    1.64    typedef typename Graph::IncEdgeIt IncEdgeIt;                          \
    1.65    typedef typename Graph::template EdgeMap<bool> BoolEdgeMap;           \
    1.66    typedef typename Graph::template EdgeMap<int> IntEdgeMap;             \
    1.67 -  typedef typename Graph::template EdgeMap<double> DoubleEdgeMap
    1.68 +  typedef typename Graph::template EdgeMap<double> DoubleEdgeMap;
    1.69  
    1.70 -  /// \brief Function to count the items in the graph.
    1.71 +  /// \brief Function to count the items in a graph.
    1.72    ///
    1.73 -  /// This function counts the items (nodes, arcs etc) in the graph.
    1.74 -  /// The complexity of the function is O(n) because
    1.75 +  /// This function counts the items (nodes, arcs etc.) in a graph.
    1.76 +  /// The complexity of the function is linear because
    1.77    /// it iterates on all of the items.
    1.78    template <typename Graph, typename Item>
    1.79    inline int countItems(const Graph& g) {
    1.80 @@ -176,11 +176,11 @@
    1.81    /// \brief Function to count the nodes in the graph.
    1.82    ///
    1.83    /// This function counts the nodes in the graph.
    1.84 -  /// The complexity of the function is O(n) but for some
    1.85 -  /// graph structures it is specialized to run in O(1).
    1.86 +  /// The complexity of the function is <em>O</em>(<em>n</em>), but for some
    1.87 +  /// graph structures it is specialized to run in <em>O</em>(1).
    1.88    ///
    1.89 -  /// If the graph contains a \e nodeNum() member function and a
    1.90 -  /// \e NodeNumTag tag then this function calls directly the member
    1.91 +  /// \note If the graph contains a \c nodeNum() member function and a
    1.92 +  /// \c NodeNumTag tag then this function calls directly the member
    1.93    /// function to query the cardinality of the node set.
    1.94    template <typename Graph>
    1.95    inline int countNodes(const Graph& g) {
    1.96 @@ -212,11 +212,11 @@
    1.97    /// \brief Function to count the arcs in the graph.
    1.98    ///
    1.99    /// This function counts the arcs in the graph.
   1.100 -  /// The complexity of the function is O(e) but for some
   1.101 -  /// graph structures it is specialized to run in O(1).
   1.102 +  /// The complexity of the function is <em>O</em>(<em>m</em>), but for some
   1.103 +  /// graph structures it is specialized to run in <em>O</em>(1).
   1.104    ///
   1.105 -  /// If the graph contains a \e arcNum() member function and a
   1.106 -  /// \e EdgeNumTag tag then this function calls directly the member
   1.107 +  /// \note If the graph contains a \c arcNum() member function and a
   1.108 +  /// \c ArcNumTag tag then this function calls directly the member
   1.109    /// function to query the cardinality of the arc set.
   1.110    template <typename Graph>
   1.111    inline int countArcs(const Graph& g) {
   1.112 @@ -224,6 +224,7 @@
   1.113    }
   1.114  
   1.115    // Edge counting:
   1.116 +
   1.117    namespace _core_bits {
   1.118  
   1.119      template <typename Graph, typename Enable = void>
   1.120 @@ -247,11 +248,11 @@
   1.121    /// \brief Function to count the edges in the graph.
   1.122    ///
   1.123    /// This function counts the edges in the graph.
   1.124 -  /// The complexity of the function is O(m) but for some
   1.125 -  /// graph structures it is specialized to run in O(1).
   1.126 +  /// The complexity of the function is <em>O</em>(<em>m</em>), but for some
   1.127 +  /// graph structures it is specialized to run in <em>O</em>(1).
   1.128    ///
   1.129 -  /// If the graph contains a \e edgeNum() member function and a
   1.130 -  /// \e EdgeNumTag tag then this function calls directly the member
   1.131 +  /// \note If the graph contains a \c edgeNum() member function and a
   1.132 +  /// \c EdgeNumTag tag then this function calls directly the member
   1.133    /// function to query the cardinality of the edge set.
   1.134    template <typename Graph>
   1.135    inline int countEdges(const Graph& g) {
   1.136 @@ -272,28 +273,28 @@
   1.137    /// \brief Function to count the number of the out-arcs from node \c n.
   1.138    ///
   1.139    /// This function counts the number of the out-arcs from node \c n
   1.140 -  /// in the graph.
   1.141 +  /// in the graph \c g.
   1.142    template <typename Graph>
   1.143 -  inline int countOutArcs(const Graph& _g,  const typename Graph::Node& _n) {
   1.144 -    return countNodeDegree<Graph, typename Graph::OutArcIt>(_g, _n);
   1.145 +  inline int countOutArcs(const Graph& g,  const typename Graph::Node& n) {
   1.146 +    return countNodeDegree<Graph, typename Graph::OutArcIt>(g, n);
   1.147    }
   1.148  
   1.149    /// \brief Function to count the number of the in-arcs to node \c n.
   1.150    ///
   1.151    /// This function counts the number of the in-arcs to node \c n
   1.152 -  /// in the graph.
   1.153 +  /// in the graph \c g.
   1.154    template <typename Graph>
   1.155 -  inline int countInArcs(const Graph& _g,  const typename Graph::Node& _n) {
   1.156 -    return countNodeDegree<Graph, typename Graph::InArcIt>(_g, _n);
   1.157 +  inline int countInArcs(const Graph& g,  const typename Graph::Node& n) {
   1.158 +    return countNodeDegree<Graph, typename Graph::InArcIt>(g, n);
   1.159    }
   1.160  
   1.161    /// \brief Function to count the number of the inc-edges to node \c n.
   1.162    ///
   1.163    /// This function counts the number of the inc-edges to node \c n
   1.164 -  /// in the graph.
   1.165 +  /// in the undirected graph \c g.
   1.166    template <typename Graph>
   1.167 -  inline int countIncEdges(const Graph& _g,  const typename Graph::Node& _n) {
   1.168 -    return countNodeDegree<Graph, typename Graph::IncEdgeIt>(_g, _n);
   1.169 +  inline int countIncEdges(const Graph& g,  const typename Graph::Node& n) {
   1.170 +    return countNodeDegree<Graph, typename Graph::IncEdgeIt>(g, n);
   1.171    }
   1.172  
   1.173    namespace _core_bits {
   1.174 @@ -307,12 +308,12 @@
   1.175      };
   1.176  
   1.177      template <typename Digraph, typename Item, typename RefMap,
   1.178 -              typename ToMap, typename FromMap>
   1.179 +              typename FromMap, typename ToMap>
   1.180      class MapCopy : public MapCopyBase<Digraph, Item, RefMap> {
   1.181      public:
   1.182  
   1.183 -      MapCopy(ToMap& tmap, const FromMap& map)
   1.184 -        : _tmap(tmap), _map(map) {}
   1.185 +      MapCopy(const FromMap& map, ToMap& tmap)
   1.186 +        : _map(map), _tmap(tmap) {}
   1.187  
   1.188        virtual void copy(const Digraph& digraph, const RefMap& refMap) {
   1.189          typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
   1.190 @@ -322,23 +323,23 @@
   1.191        }
   1.192  
   1.193      private:
   1.194 +      const FromMap& _map;
   1.195        ToMap& _tmap;
   1.196 -      const FromMap& _map;
   1.197      };
   1.198  
   1.199      template <typename Digraph, typename Item, typename RefMap, typename It>
   1.200      class ItemCopy : public MapCopyBase<Digraph, Item, RefMap> {
   1.201      public:
   1.202  
   1.203 -      ItemCopy(It& it, const Item& item) : _it(it), _item(item) {}
   1.204 +      ItemCopy(const Item& item, It& it) : _item(item), _it(it) {}
   1.205  
   1.206        virtual void copy(const Digraph&, const RefMap& refMap) {
   1.207          _it = refMap[_item];
   1.208        }
   1.209  
   1.210      private:
   1.211 +      Item _item;
   1.212        It& _it;
   1.213 -      Item _item;
   1.214      };
   1.215  
   1.216      template <typename Digraph, typename Item, typename RefMap, typename Ref>
   1.217 @@ -379,7 +380,7 @@
   1.218      template <typename Digraph, typename Enable = void>
   1.219      struct DigraphCopySelector {
   1.220        template <typename From, typename NodeRefMap, typename ArcRefMap>
   1.221 -      static void copy(Digraph &to, const From& from,
   1.222 +      static void copy(const From& from, Digraph &to,
   1.223                         NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
   1.224          for (typename From::NodeIt it(from); it != INVALID; ++it) {
   1.225            nodeRefMap[it] = to.addNode();
   1.226 @@ -397,7 +398,7 @@
   1.227        typename enable_if<typename Digraph::BuildTag, void>::type>
   1.228      {
   1.229        template <typename From, typename NodeRefMap, typename ArcRefMap>
   1.230 -      static void copy(Digraph &to, const From& from,
   1.231 +      static void copy(const From& from, Digraph &to,
   1.232                         NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
   1.233          to.build(from, nodeRefMap, arcRefMap);
   1.234        }
   1.235 @@ -406,7 +407,7 @@
   1.236      template <typename Graph, typename Enable = void>
   1.237      struct GraphCopySelector {
   1.238        template <typename From, typename NodeRefMap, typename EdgeRefMap>
   1.239 -      static void copy(Graph &to, const From& from,
   1.240 +      static void copy(const From& from, Graph &to,
   1.241                         NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
   1.242          for (typename From::NodeIt it(from); it != INVALID; ++it) {
   1.243            nodeRefMap[it] = to.addNode();
   1.244 @@ -424,7 +425,7 @@
   1.245        typename enable_if<typename Graph::BuildTag, void>::type>
   1.246      {
   1.247        template <typename From, typename NodeRefMap, typename EdgeRefMap>
   1.248 -      static void copy(Graph &to, const From& from,
   1.249 +      static void copy(const From& from, Graph &to,
   1.250                         NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
   1.251          to.build(from, nodeRefMap, edgeRefMap);
   1.252        }
   1.253 @@ -435,39 +436,39 @@
   1.254    /// \brief Class to copy a digraph.
   1.255    ///
   1.256    /// Class to copy a digraph to another digraph (duplicate a digraph). The
   1.257 -  /// simplest way of using it is through the \c copyDigraph() function.
   1.258 +  /// simplest way of using it is through the \c digraphCopy() function.
   1.259    ///
   1.260 -  /// This class not just make a copy of a graph, but it can create
   1.261 +  /// This class not only make a copy of a digraph, but it can create
   1.262    /// references and cross references between the nodes and arcs of
   1.263 -  /// the two graphs, it can copy maps for use with the newly created
   1.264 -  /// graph and copy nodes and arcs.
   1.265 +  /// the two digraphs, and it can copy maps to use with the newly created
   1.266 +  /// digraph.
   1.267    ///
   1.268 -  /// To make a copy from a graph, first an instance of DigraphCopy
   1.269 -  /// should be created, then the data belongs to the graph should
   1.270 +  /// To make a copy from a digraph, first an instance of DigraphCopy
   1.271 +  /// should be created, then the data belongs to the digraph should
   1.272    /// assigned to copy. In the end, the \c run() member should be
   1.273    /// called.
   1.274    ///
   1.275 -  /// The next code copies a graph with several data:
   1.276 +  /// The next code copies a digraph with several data:
   1.277    ///\code
   1.278 -  ///  DigraphCopy<NewGraph, OrigGraph> dc(new_graph, orig_graph);
   1.279 -  ///  // create a reference for the nodes
   1.280 +  ///  DigraphCopy<OrigGraph, NewGraph> cg(orig_graph, new_graph);
   1.281 +  ///  // Create references for the nodes
   1.282    ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
   1.283 -  ///  dc.nodeRef(nr);
   1.284 -  ///  // create a cross reference (inverse) for the arcs
   1.285 +  ///  cg.nodeRef(nr);
   1.286 +  ///  // Create cross references (inverse) for the arcs
   1.287    ///  NewGraph::ArcMap<OrigGraph::Arc> acr(new_graph);
   1.288 -  ///  dc.arcCrossRef(acr);
   1.289 -  ///  // copy an arc map
   1.290 +  ///  cg.arcCrossRef(acr);
   1.291 +  ///  // Copy an arc map
   1.292    ///  OrigGraph::ArcMap<double> oamap(orig_graph);
   1.293    ///  NewGraph::ArcMap<double> namap(new_graph);
   1.294 -  ///  dc.arcMap(namap, oamap);
   1.295 -  ///  // copy a node
   1.296 +  ///  cg.arcMap(oamap, namap);
   1.297 +  ///  // Copy a node
   1.298    ///  OrigGraph::Node on;
   1.299    ///  NewGraph::Node nn;
   1.300 -  ///  dc.node(nn, on);
   1.301 -  ///  // Executions of copy
   1.302 -  ///  dc.run();
   1.303 +  ///  cg.node(on, nn);
   1.304 +  ///  // Execute copying
   1.305 +  ///  cg.run();
   1.306    ///\endcode
   1.307 -  template <typename To, typename From>
   1.308 +  template <typename From, typename To>
   1.309    class DigraphCopy {
   1.310    private:
   1.311  
   1.312 @@ -482,20 +483,18 @@
   1.313      typedef typename From::template NodeMap<TNode> NodeRefMap;
   1.314      typedef typename From::template ArcMap<TArc> ArcRefMap;
   1.315  
   1.316 -
   1.317    public:
   1.318  
   1.319 -
   1.320 -    /// \brief Constructor for the DigraphCopy.
   1.321 +    /// \brief Constructor of DigraphCopy.
   1.322      ///
   1.323 -    /// It copies the content of the \c _from digraph into the
   1.324 -    /// \c _to digraph.
   1.325 -    DigraphCopy(To& to, const From& from)
   1.326 +    /// Constructor of DigraphCopy for copying the content of the
   1.327 +    /// \c from digraph into the \c to digraph.
   1.328 +    DigraphCopy(const From& from, To& to)
   1.329        : _from(from), _to(to) {}
   1.330  
   1.331 -    /// \brief Destructor of the DigraphCopy
   1.332 +    /// \brief Destructor of DigraphCopy
   1.333      ///
   1.334 -    /// Destructor of the DigraphCopy
   1.335 +    /// Destructor of DigraphCopy.
   1.336      ~DigraphCopy() {
   1.337        for (int i = 0; i < int(_node_maps.size()); ++i) {
   1.338          delete _node_maps[i];
   1.339 @@ -506,12 +505,12 @@
   1.340  
   1.341      }
   1.342  
   1.343 -    /// \brief Copies the node references into the given map.
   1.344 +    /// \brief Copy the node references into the given map.
   1.345      ///
   1.346 -    /// Copies the node references into the given map. The parameter
   1.347 -    /// should be a map, which key type is the Node type of the source
   1.348 -    /// graph, while the value type is the Node type of the
   1.349 -    /// destination graph.
   1.350 +    /// This function copies the node references into the given map.
   1.351 +    /// The parameter should be a map, whose key type is the Node type of
   1.352 +    /// the source digraph, while the value type is the Node type of the
   1.353 +    /// destination digraph.
   1.354      template <typename NodeRef>
   1.355      DigraphCopy& nodeRef(NodeRef& map) {
   1.356        _node_maps.push_back(new _core_bits::RefCopy<From, Node,
   1.357 @@ -519,12 +518,12 @@
   1.358        return *this;
   1.359      }
   1.360  
   1.361 -    /// \brief Copies the node cross references into the given map.
   1.362 +    /// \brief Copy the node cross references into the given map.
   1.363      ///
   1.364 -    ///  Copies the node cross references (reverse references) into
   1.365 -    ///  the given map. The parameter should be a map, which key type
   1.366 -    ///  is the Node type of the destination graph, while the value type is
   1.367 -    ///  the Node type of the source graph.
   1.368 +    /// This function copies the node cross references (reverse references)
   1.369 +    /// into the given map. The parameter should be a map, whose key type
   1.370 +    /// is the Node type of the destination digraph, while the value type is
   1.371 +    /// the Node type of the source digraph.
   1.372      template <typename NodeCrossRef>
   1.373      DigraphCopy& nodeCrossRef(NodeCrossRef& map) {
   1.374        _node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
   1.375 @@ -532,30 +531,35 @@
   1.376        return *this;
   1.377      }
   1.378  
   1.379 -    /// \brief Make copy of the given map.
   1.380 +    /// \brief Make a copy of the given node map.
   1.381      ///
   1.382 -    /// Makes copy of the given map for the newly created digraph.
   1.383 -    /// The new map's key type is the destination graph's node type,
   1.384 -    /// and the copied map's key type is the source graph's node type.
   1.385 -    template <typename ToMap, typename FromMap>
   1.386 -    DigraphCopy& nodeMap(ToMap& tmap, const FromMap& map) {
   1.387 +    /// This function makes a copy of the given node map for the newly
   1.388 +    /// created digraph.
   1.389 +    /// The key type of the new map \c tmap should be the Node type of the
   1.390 +    /// destination digraph, and the key type of the original map \c map
   1.391 +    /// should be the Node type of the source digraph.
   1.392 +    template <typename FromMap, typename ToMap>
   1.393 +    DigraphCopy& nodeMap(const FromMap& map, ToMap& tmap) {
   1.394        _node_maps.push_back(new _core_bits::MapCopy<From, Node,
   1.395 -                           NodeRefMap, ToMap, FromMap>(tmap, map));
   1.396 +                           NodeRefMap, FromMap, ToMap>(map, tmap));
   1.397        return *this;
   1.398      }
   1.399  
   1.400      /// \brief Make a copy of the given node.
   1.401      ///
   1.402 -    /// Make a copy of the given node.
   1.403 -    DigraphCopy& node(TNode& tnode, const Node& snode) {
   1.404 +    /// This function makes a copy of the given node.
   1.405 +    DigraphCopy& node(const Node& node, TNode& tnode) {
   1.406        _node_maps.push_back(new _core_bits::ItemCopy<From, Node,
   1.407 -                           NodeRefMap, TNode>(tnode, snode));
   1.408 +                           NodeRefMap, TNode>(node, tnode));
   1.409        return *this;
   1.410      }
   1.411  
   1.412 -    /// \brief Copies the arc references into the given map.
   1.413 +    /// \brief Copy the arc references into the given map.
   1.414      ///
   1.415 -    /// Copies the arc references into the given map.
   1.416 +    /// This function copies the arc references into the given map.
   1.417 +    /// The parameter should be a map, whose key type is the Arc type of
   1.418 +    /// the source digraph, while the value type is the Arc type of the
   1.419 +    /// destination digraph.
   1.420      template <typename ArcRef>
   1.421      DigraphCopy& arcRef(ArcRef& map) {
   1.422        _arc_maps.push_back(new _core_bits::RefCopy<From, Arc,
   1.423 @@ -563,10 +567,12 @@
   1.424        return *this;
   1.425      }
   1.426  
   1.427 -    /// \brief Copies the arc cross references into the given map.
   1.428 +    /// \brief Copy the arc cross references into the given map.
   1.429      ///
   1.430 -    ///  Copies the arc cross references (reverse references) into
   1.431 -    ///  the given map.
   1.432 +    /// This function copies the arc cross references (reverse references)
   1.433 +    /// into the given map. The parameter should be a map, whose key type
   1.434 +    /// is the Arc type of the destination digraph, while the value type is
   1.435 +    /// the Arc type of the source digraph.
   1.436      template <typename ArcCrossRef>
   1.437      DigraphCopy& arcCrossRef(ArcCrossRef& map) {
   1.438        _arc_maps.push_back(new _core_bits::CrossRefCopy<From, Arc,
   1.439 @@ -574,36 +580,38 @@
   1.440        return *this;
   1.441      }
   1.442  
   1.443 -    /// \brief Make copy of the given map.
   1.444 +    /// \brief Make a copy of the given arc map.
   1.445      ///
   1.446 -    /// Makes copy of the given map for the newly created digraph.
   1.447 -    /// The new map's key type is the to digraph's arc type,
   1.448 -    /// and the copied map's key type is the from digraph's arc
   1.449 -    /// type.
   1.450 -    template <typename ToMap, typename FromMap>
   1.451 -    DigraphCopy& arcMap(ToMap& tmap, const FromMap& map) {
   1.452 +    /// This function makes a copy of the given arc map for the newly
   1.453 +    /// created digraph.
   1.454 +    /// The key type of the new map \c tmap should be the Arc type of the
   1.455 +    /// destination digraph, and the key type of the original map \c map
   1.456 +    /// should be the Arc type of the source digraph.
   1.457 +    template <typename FromMap, typename ToMap>
   1.458 +    DigraphCopy& arcMap(const FromMap& map, ToMap& tmap) {
   1.459        _arc_maps.push_back(new _core_bits::MapCopy<From, Arc,
   1.460 -                          ArcRefMap, ToMap, FromMap>(tmap, map));
   1.461 +                          ArcRefMap, FromMap, ToMap>(map, tmap));
   1.462        return *this;
   1.463      }
   1.464  
   1.465      /// \brief Make a copy of the given arc.
   1.466      ///
   1.467 -    /// Make a copy of the given arc.
   1.468 -    DigraphCopy& arc(TArc& tarc, const Arc& sarc) {
   1.469 +    /// This function makes a copy of the given arc.
   1.470 +    DigraphCopy& arc(const Arc& arc, TArc& tarc) {
   1.471        _arc_maps.push_back(new _core_bits::ItemCopy<From, Arc,
   1.472 -                          ArcRefMap, TArc>(tarc, sarc));
   1.473 +                          ArcRefMap, TArc>(arc, tarc));
   1.474        return *this;
   1.475      }
   1.476  
   1.477 -    /// \brief Executes the copies.
   1.478 +    /// \brief Execute copying.
   1.479      ///
   1.480 -    /// Executes the copies.
   1.481 +    /// This function executes the copying of the digraph along with the
   1.482 +    /// copying of the assigned data.
   1.483      void run() {
   1.484        NodeRefMap nodeRefMap(_from);
   1.485        ArcRefMap arcRefMap(_from);
   1.486        _core_bits::DigraphCopySelector<To>::
   1.487 -        copy(_to, _from, nodeRefMap, arcRefMap);
   1.488 +        copy(_from, _to, nodeRefMap, arcRefMap);
   1.489        for (int i = 0; i < int(_node_maps.size()); ++i) {
   1.490          _node_maps[i]->copy(_from, nodeRefMap);
   1.491        }
   1.492 @@ -614,47 +622,46 @@
   1.493  
   1.494    protected:
   1.495  
   1.496 -
   1.497      const From& _from;
   1.498      To& _to;
   1.499  
   1.500      std::vector<_core_bits::MapCopyBase<From, Node, NodeRefMap>* >
   1.501 -    _node_maps;
   1.502 +      _node_maps;
   1.503  
   1.504      std::vector<_core_bits::MapCopyBase<From, Arc, ArcRefMap>* >
   1.505 -    _arc_maps;
   1.506 +      _arc_maps;
   1.507  
   1.508    };
   1.509  
   1.510    /// \brief Copy a digraph to another digraph.
   1.511    ///
   1.512 -  /// Copy a digraph to another digraph. The complete usage of the
   1.513 -  /// function is detailed in the DigraphCopy class, but a short
   1.514 -  /// example shows a basic work:
   1.515 +  /// This function copies a digraph to another digraph.
   1.516 +  /// The complete usage of it is detailed in the DigraphCopy class, but
   1.517 +  /// a short example shows a basic work:
   1.518    ///\code
   1.519 -  /// copyDigraph(trg, src).nodeRef(nr).arcCrossRef(ecr).run();
   1.520 +  /// digraphCopy(src, trg).nodeRef(nr).arcCrossRef(acr).run();
   1.521    ///\endcode
   1.522    ///
   1.523    /// After the copy the \c nr map will contain the mapping from the
   1.524    /// nodes of the \c from digraph to the nodes of the \c to digraph and
   1.525 -  /// \c ecr will contain the mapping from the arcs of the \c to digraph
   1.526 +  /// \c acr will contain the mapping from the arcs of the \c to digraph
   1.527    /// to the arcs of the \c from digraph.
   1.528    ///
   1.529    /// \see DigraphCopy
   1.530 -  template <typename To, typename From>
   1.531 -  DigraphCopy<To, From> copyDigraph(To& to, const From& from) {
   1.532 -    return DigraphCopy<To, From>(to, from);
   1.533 +  template <typename From, typename To>
   1.534 +  DigraphCopy<From, To> digraphCopy(const From& from, To& to) {
   1.535 +    return DigraphCopy<From, To>(from, to);
   1.536    }
   1.537  
   1.538    /// \brief Class to copy a graph.
   1.539    ///
   1.540    /// Class to copy a graph to another graph (duplicate a graph). The
   1.541 -  /// simplest way of using it is through the \c copyGraph() function.
   1.542 +  /// simplest way of using it is through the \c graphCopy() function.
   1.543    ///
   1.544 -  /// This class not just make a copy of a graph, but it can create
   1.545 +  /// This class not only make a copy of a graph, but it can create
   1.546    /// references and cross references between the nodes, edges and arcs of
   1.547 -  /// the two graphs, it can copy maps for use with the newly created
   1.548 -  /// graph and copy nodes, edges and arcs.
   1.549 +  /// the two graphs, and it can copy maps for using with the newly created
   1.550 +  /// graph.
   1.551    ///
   1.552    /// To make a copy from a graph, first an instance of GraphCopy
   1.553    /// should be created, then the data belongs to the graph should
   1.554 @@ -663,25 +670,25 @@
   1.555    ///
   1.556    /// The next code copies a graph with several data:
   1.557    ///\code
   1.558 -  ///  GraphCopy<NewGraph, OrigGraph> dc(new_graph, orig_graph);
   1.559 -  ///  // create a reference for the nodes
   1.560 +  ///  GraphCopy<OrigGraph, NewGraph> cg(orig_graph, new_graph);
   1.561 +  ///  // Create references for the nodes
   1.562    ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
   1.563 -  ///  dc.nodeRef(nr);
   1.564 -  ///  // create a cross reference (inverse) for the edges
   1.565 -  ///  NewGraph::EdgeMap<OrigGraph::Arc> ecr(new_graph);
   1.566 -  ///  dc.edgeCrossRef(ecr);
   1.567 -  ///  // copy an arc map
   1.568 -  ///  OrigGraph::ArcMap<double> oamap(orig_graph);
   1.569 -  ///  NewGraph::ArcMap<double> namap(new_graph);
   1.570 -  ///  dc.arcMap(namap, oamap);
   1.571 -  ///  // copy a node
   1.572 +  ///  cg.nodeRef(nr);
   1.573 +  ///  // Create cross references (inverse) for the edges
   1.574 +  ///  NewGraph::EdgeMap<OrigGraph::Edge> ecr(new_graph);
   1.575 +  ///  cg.edgeCrossRef(ecr);
   1.576 +  ///  // Copy an edge map
   1.577 +  ///  OrigGraph::EdgeMap<double> oemap(orig_graph);
   1.578 +  ///  NewGraph::EdgeMap<double> nemap(new_graph);
   1.579 +  ///  cg.edgeMap(oemap, nemap);
   1.580 +  ///  // Copy a node
   1.581    ///  OrigGraph::Node on;
   1.582    ///  NewGraph::Node nn;
   1.583 -  ///  dc.node(nn, on);
   1.584 -  ///  // Executions of copy
   1.585 -  ///  dc.run();
   1.586 +  ///  cg.node(on, nn);
   1.587 +  ///  // Execute copying
   1.588 +  ///  cg.run();
   1.589    ///\endcode
   1.590 -  template <typename To, typename From>
   1.591 +  template <typename From, typename To>
   1.592    class GraphCopy {
   1.593    private:
   1.594  
   1.595 @@ -700,9 +707,9 @@
   1.596      typedef typename From::template EdgeMap<TEdge> EdgeRefMap;
   1.597  
   1.598      struct ArcRefMap {
   1.599 -      ArcRefMap(const To& to, const From& from,
   1.600 +      ArcRefMap(const From& from, const To& to,
   1.601                  const EdgeRefMap& edge_ref, const NodeRefMap& node_ref)
   1.602 -        : _to(to), _from(from),
   1.603 +        : _from(from), _to(to),
   1.604            _edge_ref(edge_ref), _node_ref(node_ref) {}
   1.605  
   1.606        typedef typename From::Arc Key;
   1.607 @@ -716,26 +723,24 @@
   1.608          return _to.direct(_edge_ref[key], forward);
   1.609        }
   1.610  
   1.611 +      const From& _from;
   1.612        const To& _to;
   1.613 -      const From& _from;
   1.614        const EdgeRefMap& _edge_ref;
   1.615        const NodeRefMap& _node_ref;
   1.616      };
   1.617  
   1.618 -
   1.619    public:
   1.620  
   1.621 -
   1.622 -    /// \brief Constructor for the GraphCopy.
   1.623 +    /// \brief Constructor of GraphCopy.
   1.624      ///
   1.625 -    /// It copies the content of the \c _from graph into the
   1.626 -    /// \c _to graph.
   1.627 -    GraphCopy(To& to, const From& from)
   1.628 +    /// Constructor of GraphCopy for copying the content of the
   1.629 +    /// \c from graph into the \c to graph.
   1.630 +    GraphCopy(const From& from, To& to)
   1.631        : _from(from), _to(to) {}
   1.632  
   1.633 -    /// \brief Destructor of the GraphCopy
   1.634 +    /// \brief Destructor of GraphCopy
   1.635      ///
   1.636 -    /// Destructor of the GraphCopy
   1.637 +    /// Destructor of GraphCopy.
   1.638      ~GraphCopy() {
   1.639        for (int i = 0; i < int(_node_maps.size()); ++i) {
   1.640          delete _node_maps[i];
   1.641 @@ -746,12 +751,14 @@
   1.642        for (int i = 0; i < int(_edge_maps.size()); ++i) {
   1.643          delete _edge_maps[i];
   1.644        }
   1.645 -
   1.646      }
   1.647  
   1.648 -    /// \brief Copies the node references into the given map.
   1.649 +    /// \brief Copy the node references into the given map.
   1.650      ///
   1.651 -    /// Copies the node references into the given map.
   1.652 +    /// This function copies the node references into the given map.
   1.653 +    /// The parameter should be a map, whose key type is the Node type of
   1.654 +    /// the source graph, while the value type is the Node type of the
   1.655 +    /// destination graph.
   1.656      template <typename NodeRef>
   1.657      GraphCopy& nodeRef(NodeRef& map) {
   1.658        _node_maps.push_back(new _core_bits::RefCopy<From, Node,
   1.659 @@ -759,10 +766,12 @@
   1.660        return *this;
   1.661      }
   1.662  
   1.663 -    /// \brief Copies the node cross references into the given map.
   1.664 +    /// \brief Copy the node cross references into the given map.
   1.665      ///
   1.666 -    ///  Copies the node cross references (reverse references) into
   1.667 -    ///  the given map.
   1.668 +    /// This function copies the node cross references (reverse references)
   1.669 +    /// into the given map. The parameter should be a map, whose key type
   1.670 +    /// is the Node type of the destination graph, while the value type is
   1.671 +    /// the Node type of the source graph.
   1.672      template <typename NodeCrossRef>
   1.673      GraphCopy& nodeCrossRef(NodeCrossRef& map) {
   1.674        _node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
   1.675 @@ -770,31 +779,35 @@
   1.676        return *this;
   1.677      }
   1.678  
   1.679 -    /// \brief Make copy of the given map.
   1.680 +    /// \brief Make a copy of the given node map.
   1.681      ///
   1.682 -    /// Makes copy of the given map for the newly created graph.
   1.683 -    /// The new map's key type is the to graph's node type,
   1.684 -    /// and the copied map's key type is the from graph's node
   1.685 -    /// type.
   1.686 -    template <typename ToMap, typename FromMap>
   1.687 -    GraphCopy& nodeMap(ToMap& tmap, const FromMap& map) {
   1.688 +    /// This function makes a copy of the given node map for the newly
   1.689 +    /// created graph.
   1.690 +    /// The key type of the new map \c tmap should be the Node type of the
   1.691 +    /// destination graph, and the key type of the original map \c map
   1.692 +    /// should be the Node type of the source graph.
   1.693 +    template <typename FromMap, typename ToMap>
   1.694 +    GraphCopy& nodeMap(const FromMap& map, ToMap& tmap) {
   1.695        _node_maps.push_back(new _core_bits::MapCopy<From, Node,
   1.696 -                           NodeRefMap, ToMap, FromMap>(tmap, map));
   1.697 +                           NodeRefMap, FromMap, ToMap>(map, tmap));
   1.698        return *this;
   1.699      }
   1.700  
   1.701      /// \brief Make a copy of the given node.
   1.702      ///
   1.703 -    /// Make a copy of the given node.
   1.704 -    GraphCopy& node(TNode& tnode, const Node& snode) {
   1.705 +    /// This function makes a copy of the given node.
   1.706 +    GraphCopy& node(const Node& node, TNode& tnode) {
   1.707        _node_maps.push_back(new _core_bits::ItemCopy<From, Node,
   1.708 -                           NodeRefMap, TNode>(tnode, snode));
   1.709 +                           NodeRefMap, TNode>(node, tnode));
   1.710        return *this;
   1.711      }
   1.712  
   1.713 -    /// \brief Copies the arc references into the given map.
   1.714 +    /// \brief Copy the arc references into the given map.
   1.715      ///
   1.716 -    /// Copies the arc references into the given map.
   1.717 +    /// This function copies the arc references into the given map.
   1.718 +    /// The parameter should be a map, whose key type is the Arc type of
   1.719 +    /// the source graph, while the value type is the Arc type of the
   1.720 +    /// destination graph.
   1.721      template <typename ArcRef>
   1.722      GraphCopy& arcRef(ArcRef& map) {
   1.723        _arc_maps.push_back(new _core_bits::RefCopy<From, Arc,
   1.724 @@ -802,10 +815,12 @@
   1.725        return *this;
   1.726      }
   1.727  
   1.728 -    /// \brief Copies the arc cross references into the given map.
   1.729 +    /// \brief Copy the arc cross references into the given map.
   1.730      ///
   1.731 -    ///  Copies the arc cross references (reverse references) into
   1.732 -    ///  the given map.
   1.733 +    /// This function copies the arc cross references (reverse references)
   1.734 +    /// into the given map. The parameter should be a map, whose key type
   1.735 +    /// is the Arc type of the destination graph, while the value type is
   1.736 +    /// the Arc type of the source graph.
   1.737      template <typename ArcCrossRef>
   1.738      GraphCopy& arcCrossRef(ArcCrossRef& map) {
   1.739        _arc_maps.push_back(new _core_bits::CrossRefCopy<From, Arc,
   1.740 @@ -813,31 +828,35 @@
   1.741        return *this;
   1.742      }
   1.743  
   1.744 -    /// \brief Make copy of the given map.
   1.745 +    /// \brief Make a copy of the given arc map.
   1.746      ///
   1.747 -    /// Makes copy of the given map for the newly created graph.
   1.748 -    /// The new map's key type is the to graph's arc type,
   1.749 -    /// and the copied map's key type is the from graph's arc
   1.750 -    /// type.
   1.751 -    template <typename ToMap, typename FromMap>
   1.752 -    GraphCopy& arcMap(ToMap& tmap, const FromMap& map) {
   1.753 +    /// This function makes a copy of the given arc map for the newly
   1.754 +    /// created graph.
   1.755 +    /// The key type of the new map \c tmap should be the Arc type of the
   1.756 +    /// destination graph, and the key type of the original map \c map
   1.757 +    /// should be the Arc type of the source graph.
   1.758 +    template <typename FromMap, typename ToMap>
   1.759 +    GraphCopy& arcMap(const FromMap& map, ToMap& tmap) {
   1.760        _arc_maps.push_back(new _core_bits::MapCopy<From, Arc,
   1.761 -                          ArcRefMap, ToMap, FromMap>(tmap, map));
   1.762 +                          ArcRefMap, FromMap, ToMap>(map, tmap));
   1.763        return *this;
   1.764      }
   1.765  
   1.766      /// \brief Make a copy of the given arc.
   1.767      ///
   1.768 -    /// Make a copy of the given arc.
   1.769 -    GraphCopy& arc(TArc& tarc, const Arc& sarc) {
   1.770 +    /// This function makes a copy of the given arc.
   1.771 +    GraphCopy& arc(const Arc& arc, TArc& tarc) {
   1.772        _arc_maps.push_back(new _core_bits::ItemCopy<From, Arc,
   1.773 -                          ArcRefMap, TArc>(tarc, sarc));
   1.774 +                          ArcRefMap, TArc>(arc, tarc));
   1.775        return *this;
   1.776      }
   1.777  
   1.778 -    /// \brief Copies the edge references into the given map.
   1.779 +    /// \brief Copy the edge references into the given map.
   1.780      ///
   1.781 -    /// Copies the edge references into the given map.
   1.782 +    /// This function copies the edge references into the given map.
   1.783 +    /// The parameter should be a map, whose key type is the Edge type of
   1.784 +    /// the source graph, while the value type is the Edge type of the
   1.785 +    /// destination graph.
   1.786      template <typename EdgeRef>
   1.787      GraphCopy& edgeRef(EdgeRef& map) {
   1.788        _edge_maps.push_back(new _core_bits::RefCopy<From, Edge,
   1.789 @@ -845,10 +864,12 @@
   1.790        return *this;
   1.791      }
   1.792  
   1.793 -    /// \brief Copies the edge cross references into the given map.
   1.794 +    /// \brief Copy the edge cross references into the given map.
   1.795      ///
   1.796 -    /// Copies the edge cross references (reverse
   1.797 -    /// references) into the given map.
   1.798 +    /// This function copies the edge cross references (reverse references)
   1.799 +    /// into the given map. The parameter should be a map, whose key type
   1.800 +    /// is the Edge type of the destination graph, while the value type is
   1.801 +    /// the Edge type of the source graph.
   1.802      template <typename EdgeCrossRef>
   1.803      GraphCopy& edgeCrossRef(EdgeCrossRef& map) {
   1.804        _edge_maps.push_back(new _core_bits::CrossRefCopy<From,
   1.805 @@ -856,37 +877,39 @@
   1.806        return *this;
   1.807      }
   1.808  
   1.809 -    /// \brief Make copy of the given map.
   1.810 +    /// \brief Make a copy of the given edge map.
   1.811      ///
   1.812 -    /// Makes copy of the given map for the newly created graph.
   1.813 -    /// The new map's key type is the to graph's edge type,
   1.814 -    /// and the copied map's key type is the from graph's edge
   1.815 -    /// type.
   1.816 -    template <typename ToMap, typename FromMap>
   1.817 -    GraphCopy& edgeMap(ToMap& tmap, const FromMap& map) {
   1.818 +    /// This function makes a copy of the given edge map for the newly
   1.819 +    /// created graph.
   1.820 +    /// The key type of the new map \c tmap should be the Edge type of the
   1.821 +    /// destination graph, and the key type of the original map \c map
   1.822 +    /// should be the Edge type of the source graph.
   1.823 +    template <typename FromMap, typename ToMap>
   1.824 +    GraphCopy& edgeMap(const FromMap& map, ToMap& tmap) {
   1.825        _edge_maps.push_back(new _core_bits::MapCopy<From, Edge,
   1.826 -                           EdgeRefMap, ToMap, FromMap>(tmap, map));
   1.827 +                           EdgeRefMap, FromMap, ToMap>(map, tmap));
   1.828        return *this;
   1.829      }
   1.830  
   1.831      /// \brief Make a copy of the given edge.
   1.832      ///
   1.833 -    /// Make a copy of the given edge.
   1.834 -    GraphCopy& edge(TEdge& tedge, const Edge& sedge) {
   1.835 +    /// This function makes a copy of the given edge.
   1.836 +    GraphCopy& edge(const Edge& edge, TEdge& tedge) {
   1.837        _edge_maps.push_back(new _core_bits::ItemCopy<From, Edge,
   1.838 -                           EdgeRefMap, TEdge>(tedge, sedge));
   1.839 +                           EdgeRefMap, TEdge>(edge, tedge));
   1.840        return *this;
   1.841      }
   1.842  
   1.843 -    /// \brief Executes the copies.
   1.844 +    /// \brief Execute copying.
   1.845      ///
   1.846 -    /// Executes the copies.
   1.847 +    /// This function executes the copying of the graph along with the
   1.848 +    /// copying of the assigned data.
   1.849      void run() {
   1.850        NodeRefMap nodeRefMap(_from);
   1.851        EdgeRefMap edgeRefMap(_from);
   1.852 -      ArcRefMap arcRefMap(_to, _from, edgeRefMap, nodeRefMap);
   1.853 +      ArcRefMap arcRefMap(_from, _to, edgeRefMap, nodeRefMap);
   1.854        _core_bits::GraphCopySelector<To>::
   1.855 -        copy(_to, _from, nodeRefMap, edgeRefMap);
   1.856 +        copy(_from, _to, nodeRefMap, edgeRefMap);
   1.857        for (int i = 0; i < int(_node_maps.size()); ++i) {
   1.858          _node_maps[i]->copy(_from, nodeRefMap);
   1.859        }
   1.860 @@ -904,35 +927,35 @@
   1.861      To& _to;
   1.862  
   1.863      std::vector<_core_bits::MapCopyBase<From, Node, NodeRefMap>* >
   1.864 -    _node_maps;
   1.865 +      _node_maps;
   1.866  
   1.867      std::vector<_core_bits::MapCopyBase<From, Arc, ArcRefMap>* >
   1.868 -    _arc_maps;
   1.869 +      _arc_maps;
   1.870  
   1.871      std::vector<_core_bits::MapCopyBase<From, Edge, EdgeRefMap>* >
   1.872 -    _edge_maps;
   1.873 +      _edge_maps;
   1.874  
   1.875    };
   1.876  
   1.877    /// \brief Copy a graph to another graph.
   1.878    ///
   1.879 -  /// Copy a graph to another graph. The complete usage of the
   1.880 -  /// function is detailed in the GraphCopy class, but a short
   1.881 -  /// example shows a basic work:
   1.882 +  /// This function copies a graph to another graph.
   1.883 +  /// The complete usage of it is detailed in the GraphCopy class,
   1.884 +  /// but a short example shows a basic work:
   1.885    ///\code
   1.886 -  /// copyGraph(trg, src).nodeRef(nr).arcCrossRef(ecr).run();
   1.887 +  /// graphCopy(src, trg).nodeRef(nr).edgeCrossRef(ecr).run();
   1.888    ///\endcode
   1.889    ///
   1.890    /// After the copy the \c nr map will contain the mapping from the
   1.891    /// nodes of the \c from graph to the nodes of the \c to graph and
   1.892 -  /// \c ecr will contain the mapping from the arcs of the \c to graph
   1.893 -  /// to the arcs of the \c from graph.
   1.894 +  /// \c ecr will contain the mapping from the edges of the \c to graph
   1.895 +  /// to the edges of the \c from graph.
   1.896    ///
   1.897    /// \see GraphCopy
   1.898 -  template <typename To, typename From>
   1.899 -  GraphCopy<To, From>
   1.900 -  copyGraph(To& to, const From& from) {
   1.901 -    return GraphCopy<To, From>(to, from);
   1.902 +  template <typename From, typename To>
   1.903 +  GraphCopy<From, To>
   1.904 +  graphCopy(const From& from, To& to) {
   1.905 +    return GraphCopy<From, To>(from, to);
   1.906    }
   1.907  
   1.908    namespace _core_bits {
   1.909 @@ -957,7 +980,7 @@
   1.910      template <typename Graph>
   1.911      struct FindArcSelector<
   1.912        Graph,
   1.913 -      typename enable_if<typename Graph::FindEdgeTag, void>::type>
   1.914 +      typename enable_if<typename Graph::FindArcTag, void>::type>
   1.915      {
   1.916        typedef typename Graph::Node Node;
   1.917        typedef typename Graph::Arc Arc;
   1.918 @@ -967,9 +990,10 @@
   1.919      };
   1.920    }
   1.921  
   1.922 -  /// \brief Finds an arc between two nodes of a graph.
   1.923 +  /// \brief Find an arc between two nodes of a digraph.
   1.924    ///
   1.925 -  /// Finds an arc from node \c u to node \c v in graph \c g.
   1.926 +  /// This function finds an arc from node \c u to node \c v in the
   1.927 +  /// digraph \c g.
   1.928    ///
   1.929    /// If \c prev is \ref INVALID (this is the default value), then
   1.930    /// it finds the first arc from \c u to \c v. Otherwise it looks for
   1.931 @@ -978,15 +1002,16 @@
   1.932    ///
   1.933    /// Thus you can iterate through each arc from \c u to \c v as it follows.
   1.934    ///\code
   1.935 -  /// for(Arc e=findArc(g,u,v);e!=INVALID;e=findArc(g,u,v,e)) {
   1.936 +  /// for(Arc e = findArc(g,u,v); e != INVALID; e = findArc(g,u,v,e)) {
   1.937    ///   ...
   1.938    /// }
   1.939    ///\endcode
   1.940    ///
   1.941 -  ///\sa ArcLookUp
   1.942 -  ///\sa AllArcLookUp
   1.943 -  ///\sa DynArcLookUp
   1.944 +  /// \note \ref ConArcIt provides iterator interface for the same
   1.945 +  /// functionality.
   1.946 +  ///
   1.947    ///\sa ConArcIt
   1.948 +  ///\sa ArcLookUp, AllArcLookUp, DynArcLookUp
   1.949    template <typename Graph>
   1.950    inline typename Graph::Arc
   1.951    findArc(const Graph &g, typename Graph::Node u, typename Graph::Node v,
   1.952 @@ -994,10 +1019,10 @@
   1.953      return _core_bits::FindArcSelector<Graph>::find(g, u, v, prev);
   1.954    }
   1.955  
   1.956 -  /// \brief Iterator for iterating on arcs connected the same nodes.
   1.957 +  /// \brief Iterator for iterating on parallel arcs connecting the same nodes.
   1.958    ///
   1.959 -  /// Iterator for iterating on arcs connected the same nodes. It is
   1.960 -  /// higher level interface for the findArc() function. You can
   1.961 +  /// Iterator for iterating on parallel arcs connecting the same nodes. It is
   1.962 +  /// a higher level interface for the \ref findArc() function. You can
   1.963    /// use it the following way:
   1.964    ///\code
   1.965    /// for (ConArcIt<Graph> it(g, src, trg); it != INVALID; ++it) {
   1.966 @@ -1006,9 +1031,7 @@
   1.967    ///\endcode
   1.968    ///
   1.969    ///\sa findArc()
   1.970 -  ///\sa ArcLookUp
   1.971 -  ///\sa AllArcLookUp
   1.972 -  ///\sa DynArcLookUp
   1.973 +  ///\sa ArcLookUp, AllArcLookUp, DynArcLookUp
   1.974    template <typename _Graph>
   1.975    class ConArcIt : public _Graph::Arc {
   1.976    public:
   1.977 @@ -1021,16 +1044,15 @@
   1.978  
   1.979      /// \brief Constructor.
   1.980      ///
   1.981 -    /// Construct a new ConArcIt iterating on the arcs which
   1.982 -    /// connects the \c u and \c v node.
   1.983 +    /// Construct a new ConArcIt iterating on the arcs that
   1.984 +    /// connects nodes \c u and \c v.
   1.985      ConArcIt(const Graph& g, Node u, Node v) : _graph(g) {
   1.986        Parent::operator=(findArc(_graph, u, v));
   1.987      }
   1.988  
   1.989      /// \brief Constructor.
   1.990      ///
   1.991 -    /// Construct a new ConArcIt which continues the iterating from
   1.992 -    /// the \c e arc.
   1.993 +    /// Construct a new ConArcIt that continues the iterating from arc \c a.
   1.994      ConArcIt(const Graph& g, Arc a) : Parent(a), _graph(g) {}
   1.995  
   1.996      /// \brief Increment operator.
   1.997 @@ -1091,27 +1113,29 @@
   1.998      };
   1.999    }
  1.1000  
  1.1001 -  /// \brief Finds an edge between two nodes of a graph.
  1.1002 +  /// \brief Find an edge between two nodes of a graph.
  1.1003    ///
  1.1004 -  /// Finds an edge from node \c u to node \c v in graph \c g.
  1.1005 -  /// If the node \c u and node \c v is equal then each loop edge
  1.1006 +  /// This function finds an edge from node \c u to node \c v in graph \c g.
  1.1007 +  /// If node \c u and node \c v is equal then each loop edge
  1.1008    /// will be enumerated once.
  1.1009    ///
  1.1010    /// If \c prev is \ref INVALID (this is the default value), then
  1.1011 -  /// it finds the first arc from \c u to \c v. Otherwise it looks for
  1.1012 -  /// the next arc from \c u to \c v after \c prev.
  1.1013 -  /// \return The found arc or \ref INVALID if there is no such an arc.
  1.1014 +  /// it finds the first edge from \c u to \c v. Otherwise it looks for
  1.1015 +  /// the next edge from \c u to \c v after \c prev.
  1.1016 +  /// \return The found edge or \ref INVALID if there is no such an edge.
  1.1017    ///
  1.1018 -  /// Thus you can iterate through each arc from \c u to \c v as it follows.
  1.1019 +  /// Thus you can iterate through each edge between \c u and \c v
  1.1020 +  /// as it follows.
  1.1021    ///\code
  1.1022 -  /// for(Edge e = findEdge(g,u,v); e != INVALID;
  1.1023 -  ///     e = findEdge(g,u,v,e)) {
  1.1024 +  /// for(Edge e = findEdge(g,u,v); e != INVALID; e = findEdge(g,u,v,e)) {
  1.1025    ///   ...
  1.1026    /// }
  1.1027    ///\endcode
  1.1028    ///
  1.1029 +  /// \note \ref ConEdgeIt provides iterator interface for the same
  1.1030 +  /// functionality.
  1.1031 +  ///
  1.1032    ///\sa ConEdgeIt
  1.1033 -
  1.1034    template <typename Graph>
  1.1035    inline typename Graph::Edge
  1.1036    findEdge(const Graph &g, typename Graph::Node u, typename Graph::Node v,
  1.1037 @@ -1119,13 +1143,13 @@
  1.1038      return _core_bits::FindEdgeSelector<Graph>::find(g, u, v, p);
  1.1039    }
  1.1040  
  1.1041 -  /// \brief Iterator for iterating on edges connected the same nodes.
  1.1042 +  /// \brief Iterator for iterating on parallel edges connecting the same nodes.
  1.1043    ///
  1.1044 -  /// Iterator for iterating on edges connected the same nodes. It is
  1.1045 -  /// higher level interface for the findEdge() function. You can
  1.1046 +  /// Iterator for iterating on parallel edges connecting the same nodes.
  1.1047 +  /// It is a higher level interface for the findEdge() function. You can
  1.1048    /// use it the following way:
  1.1049    ///\code
  1.1050 -  /// for (ConEdgeIt<Graph> it(g, src, trg); it != INVALID; ++it) {
  1.1051 +  /// for (ConEdgeIt<Graph> it(g, u, v); it != INVALID; ++it) {
  1.1052    ///   ...
  1.1053    /// }
  1.1054    ///\endcode
  1.1055 @@ -1143,16 +1167,15 @@
  1.1056  
  1.1057      /// \brief Constructor.
  1.1058      ///
  1.1059 -    /// Construct a new ConEdgeIt iterating on the edges which
  1.1060 -    /// connects the \c u and \c v node.
  1.1061 +    /// Construct a new ConEdgeIt iterating on the edges that
  1.1062 +    /// connects nodes \c u and \c v.
  1.1063      ConEdgeIt(const Graph& g, Node u, Node v) : _graph(g) {
  1.1064        Parent::operator=(findEdge(_graph, u, v));
  1.1065      }
  1.1066  
  1.1067      /// \brief Constructor.
  1.1068      ///
  1.1069 -    /// Construct a new ConEdgeIt which continues the iterating from
  1.1070 -    /// the \c e edge.
  1.1071 +    /// Construct a new ConEdgeIt that continues iterating from edge \c e.
  1.1072      ConEdgeIt(const Graph& g, Edge e) : Parent(e), _graph(g) {}
  1.1073  
  1.1074      /// \brief Increment operator.
  1.1075 @@ -1168,21 +1191,21 @@
  1.1076    };
  1.1077  
  1.1078  
  1.1079 -  ///Dynamic arc look up between given endpoints.
  1.1080 +  ///Dynamic arc look-up between given endpoints.
  1.1081  
  1.1082    ///Using this class, you can find an arc in a digraph from a given
  1.1083 -  ///source to a given target in amortized time <em>O(log</em>d<em>)</em>,
  1.1084 +  ///source to a given target in amortized time <em>O</em>(log<em>d</em>),
  1.1085    ///where <em>d</em> is the out-degree of the source node.
  1.1086    ///
  1.1087    ///It is possible to find \e all parallel arcs between two nodes with
  1.1088    ///the \c operator() member.
  1.1089    ///
  1.1090 -  ///See the \ref ArcLookUp and \ref AllArcLookUp classes if your
  1.1091 -  ///digraph is not changed so frequently.
  1.1092 +  ///This is a dynamic data structure. Consider to use \ref ArcLookUp or
  1.1093 +  ///\ref AllArcLookUp if your digraph is not changed so frequently.
  1.1094    ///
  1.1095 -  ///This class uses a self-adjusting binary search tree, Sleator's
  1.1096 -  ///and Tarjan's Splay tree for guarantee the logarithmic amortized
  1.1097 -  ///time bound for arc lookups. This class also guarantees the
  1.1098 +  ///This class uses a self-adjusting binary search tree, the Splay tree
  1.1099 +  ///of Sleator and Tarjan to guarantee the logarithmic amortized
  1.1100 +  ///time bound for arc look-ups. This class also guarantees the
  1.1101    ///optimal time bound in a constant factor for any distribution of
  1.1102    ///queries.
  1.1103    ///
  1.1104 @@ -1507,8 +1530,8 @@
  1.1105      ///Find an arc between two nodes.
  1.1106  
  1.1107      ///Find an arc between two nodes.
  1.1108 -    ///\param s The source node
  1.1109 -    ///\param t The target node
  1.1110 +    ///\param s The source node.
  1.1111 +    ///\param t The target node.
  1.1112      ///\param p The previous arc between \c s and \c t. It it is INVALID or
  1.1113      ///not given, the operator finds the first appropriate arc.
  1.1114      ///\return An arc from \c s to \c t after \c p or
  1.1115 @@ -1519,21 +1542,20 @@
  1.1116      ///\code
  1.1117      ///DynArcLookUp<ListDigraph> ae(g);
  1.1118      ///...
  1.1119 -    ///int n=0;
  1.1120 -    ///for(Arc e=ae(u,v);e!=INVALID;e=ae(u,v,e)) n++;
  1.1121 +    ///int n = 0;
  1.1122 +    ///for(Arc a = ae(u,v); a != INVALID; a = ae(u,v,a)) n++;
  1.1123      ///\endcode
  1.1124      ///
  1.1125 -    ///Finding the arcs take at most <em>O(</em>log<em>d)</em>
  1.1126 +    ///Finding the arcs take at most <em>O</em>(log<em>d</em>)
  1.1127      ///amortized time, specifically, the time complexity of the lookups
  1.1128      ///is equal to the optimal search tree implementation for the
  1.1129      ///current query distribution in a constant factor.
  1.1130      ///
  1.1131      ///\note This is a dynamic data structure, therefore the data
  1.1132 -    ///structure is updated after each graph alteration. However,
  1.1133 -    ///theoretically this data structure is faster than \c ArcLookUp
  1.1134 -    ///or AllEdgeLookup, but it often provides worse performance than
  1.1135 +    ///structure is updated after each graph alteration. Thus although
  1.1136 +    ///this data structure is theoretically faster than \ref ArcLookUp
  1.1137 +    ///and \ref AllArcLookup, it often provides worse performance than
  1.1138      ///them.
  1.1139 -    ///
  1.1140      Arc operator()(Node s, Node t, Arc p = INVALID) const  {
  1.1141        if (p == INVALID) {
  1.1142          Arc a = _head[s];
  1.1143 @@ -1585,19 +1607,19 @@
  1.1144  
  1.1145    };
  1.1146  
  1.1147 -  ///Fast arc look up between given endpoints.
  1.1148 +  ///Fast arc look-up between given endpoints.
  1.1149  
  1.1150    ///Using this class, you can find an arc in a digraph from a given
  1.1151 -  ///source to a given target in time <em>O(log d)</em>,
  1.1152 +  ///source to a given target in time <em>O</em>(log<em>d</em>),
  1.1153    ///where <em>d</em> is the out-degree of the source node.
  1.1154    ///
  1.1155    ///It is not possible to find \e all parallel arcs between two nodes.
  1.1156    ///Use \ref AllArcLookUp for this purpose.
  1.1157    ///
  1.1158 -  ///\warning This class is static, so you should refresh() (or at least
  1.1159 -  ///refresh(Node)) this data structure
  1.1160 -  ///whenever the digraph changes. This is a time consuming (superlinearly
  1.1161 -  ///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
  1.1162 +  ///\warning This class is static, so you should call refresh() (or at
  1.1163 +  ///least refresh(Node)) to refresh this data structure whenever the
  1.1164 +  ///digraph changes. This is a time consuming (superlinearly proportional
  1.1165 +  ///(<em>O</em>(<em>m</em> log<em>m</em>)) to the number of arcs).
  1.1166    ///
  1.1167    ///\tparam G The type of the underlying digraph.
  1.1168    ///
  1.1169 @@ -1646,12 +1668,12 @@
  1.1170        return me;
  1.1171      }
  1.1172    public:
  1.1173 -    ///Refresh the data structure at a node.
  1.1174 +    ///Refresh the search data structure at a node.
  1.1175  
  1.1176      ///Build up the search database of node \c n.
  1.1177      ///
  1.1178 -    ///It runs in time <em>O(d</em>log<em>d)</em>, where <em>d</em> is
  1.1179 -    ///the number of the outgoing arcs of \c n.
  1.1180 +    ///It runs in time <em>O</em>(<em>d</em> log<em>d</em>), where <em>d</em>
  1.1181 +    ///is the number of the outgoing arcs of \c n.
  1.1182      void refresh(Node n)
  1.1183      {
  1.1184        std::vector<Arc> v;
  1.1185 @@ -1667,10 +1689,9 @@
  1.1186      ///Build up the full search database. In fact, it simply calls
  1.1187      ///\ref refresh(Node) "refresh(n)" for each node \c n.
  1.1188      ///
  1.1189 -    ///It runs in time <em>O(m</em>log<em>D)</em>, where <em>m</em> is
  1.1190 -    ///the number of the arcs of \c n and <em>D</em> is the maximum
  1.1191 +    ///It runs in time <em>O</em>(<em>m</em> log<em>D</em>), where <em>m</em> is
  1.1192 +    ///the number of the arcs in the digraph and <em>D</em> is the maximum
  1.1193      ///out-degree of the digraph.
  1.1194 -
  1.1195      void refresh()
  1.1196      {
  1.1197        for(NodeIt n(_g);n!=INVALID;++n) refresh(n);
  1.1198 @@ -1678,18 +1699,16 @@
  1.1199  
  1.1200      ///Find an arc between two nodes.
  1.1201  
  1.1202 -    ///Find an arc between two nodes in time <em>O(</em>log<em>d)</em>, where
  1.1203 -    /// <em>d</em> is the number of outgoing arcs of \c s.
  1.1204 -    ///\param s The source node
  1.1205 -    ///\param t The target node
  1.1206 +    ///Find an arc between two nodes in time <em>O</em>(log<em>d</em>), where
  1.1207 +    ///<em>d</em> is the number of outgoing arcs of \c s.
  1.1208 +    ///\param s The source node.
  1.1209 +    ///\param t The target node.
  1.1210      ///\return An arc from \c s to \c t if there exists,
  1.1211      ///\ref INVALID otherwise.
  1.1212      ///
  1.1213      ///\warning If you change the digraph, refresh() must be called before using
  1.1214      ///this operator. If you change the outgoing arcs of
  1.1215 -    ///a single node \c n, then
  1.1216 -    ///\ref refresh(Node) "refresh(n)" is enough.
  1.1217 -    ///
  1.1218 +    ///a single node \c n, then \ref refresh(Node) "refresh(n)" is enough.
  1.1219      Arc operator()(Node s, Node t) const
  1.1220      {
  1.1221        Arc e;
  1.1222 @@ -1701,15 +1720,16 @@
  1.1223  
  1.1224    };
  1.1225  
  1.1226 -  ///Fast look up of all arcs between given endpoints.
  1.1227 +  ///Fast look-up of all arcs between given endpoints.
  1.1228  
  1.1229    ///This class is the same as \ref ArcLookUp, with the addition
  1.1230 -  ///that it makes it possible to find all arcs between given endpoints.
  1.1231 +  ///that it makes it possible to find all parallel arcs between given
  1.1232 +  ///endpoints.
  1.1233    ///
  1.1234 -  ///\warning This class is static, so you should refresh() (or at least
  1.1235 -  ///refresh(Node)) this data structure
  1.1236 -  ///whenever the digraph changes. This is a time consuming (superlinearly
  1.1237 -  ///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
  1.1238 +  ///\warning This class is static, so you should call refresh() (or at
  1.1239 +  ///least refresh(Node)) to refresh this data structure whenever the
  1.1240 +  ///digraph changes. This is a time consuming (superlinearly proportional
  1.1241 +  ///(<em>O</em>(<em>m</em> log<em>m</em>)) to the number of arcs).
  1.1242    ///
  1.1243    ///\tparam G The type of the underlying digraph.
  1.1244    ///
  1.1245 @@ -1733,7 +1753,6 @@
  1.1246        if(head==INVALID) return next;
  1.1247        else {
  1.1248          next=refreshNext(_right[head],next);
  1.1249 -//         _next[head]=next;
  1.1250          _next[head]=( next!=INVALID && _g.target(next)==_g.target(head))
  1.1251            ? next : INVALID;
  1.1252          return refreshNext(_left[head],head);
  1.1253 @@ -1758,9 +1777,8 @@
  1.1254  
  1.1255      ///Build up the search database of node \c n.
  1.1256      ///
  1.1257 -    ///It runs in time <em>O(d</em>log<em>d)</em>, where <em>d</em> is
  1.1258 +    ///It runs in time <em>O</em>(<em>d</em> log<em>d</em>), where <em>d</em> is
  1.1259      ///the number of the outgoing arcs of \c n.
  1.1260 -
  1.1261      void refresh(Node n)
  1.1262      {
  1.1263        ArcLookUp<G>::refresh(n);
  1.1264 @@ -1772,10 +1790,9 @@
  1.1265      ///Build up the full search database. In fact, it simply calls
  1.1266      ///\ref refresh(Node) "refresh(n)" for each node \c n.
  1.1267      ///
  1.1268 -    ///It runs in time <em>O(m</em>log<em>D)</em>, where <em>m</em> is
  1.1269 -    ///the number of the arcs of \c n and <em>D</em> is the maximum
  1.1270 +    ///It runs in time <em>O</em>(<em>m</em> log<em>D</em>), where <em>m</em> is
  1.1271 +    ///the number of the arcs in the digraph and <em>D</em> is the maximum
  1.1272      ///out-degree of the digraph.
  1.1273 -
  1.1274      void refresh()
  1.1275      {
  1.1276        for(NodeIt n(_g);n!=INVALID;++n) refresh(_head[n]);
  1.1277 @@ -1784,8 +1801,8 @@
  1.1278      ///Find an arc between two nodes.
  1.1279  
  1.1280      ///Find an arc between two nodes.
  1.1281 -    ///\param s The source node
  1.1282 -    ///\param t The target node
  1.1283 +    ///\param s The source node.
  1.1284 +    ///\param t The target node.
  1.1285      ///\param prev The previous arc between \c s and \c t. It it is INVALID or
  1.1286      ///not given, the operator finds the first appropriate arc.
  1.1287      ///\return An arc from \c s to \c t after \c prev or
  1.1288 @@ -1796,18 +1813,17 @@
  1.1289      ///\code
  1.1290      ///AllArcLookUp<ListDigraph> ae(g);
  1.1291      ///...
  1.1292 -    ///int n=0;
  1.1293 -    ///for(Arc e=ae(u,v);e!=INVALID;e=ae(u,v,e)) n++;
  1.1294 +    ///int n = 0;
  1.1295 +    ///for(Arc a = ae(u,v); a != INVALID; a=ae(u,v,a)) n++;
  1.1296      ///\endcode
  1.1297      ///
  1.1298 -    ///Finding the first arc take <em>O(</em>log<em>d)</em> time, where
  1.1299 -    /// <em>d</em> is the number of outgoing arcs of \c s. Then, the
  1.1300 +    ///Finding the first arc take <em>O</em>(log<em>d</em>) time, where
  1.1301 +    ///<em>d</em> is the number of outgoing arcs of \c s. Then, the
  1.1302      ///consecutive arcs are found in constant time.
  1.1303      ///
  1.1304      ///\warning If you change the digraph, refresh() must be called before using
  1.1305      ///this operator. If you change the outgoing arcs of
  1.1306 -    ///a single node \c n, then
  1.1307 -    ///\ref refresh(Node) "refresh(n)" is enough.
  1.1308 +    ///a single node \c n, then \ref refresh(Node) "refresh(n)" is enough.
  1.1309      ///
  1.1310  #ifdef DOXYGEN
  1.1311      Arc operator()(Node s, Node t, Arc prev=INVALID) const {}