src/work/peter/path/path.h
changeset 1365 c280de819a73
parent 1364 ee5959aa4410
child 1366 d00b85f8be45
     1.1 --- a/src/work/peter/path/path.h	Sun Apr 17 18:57:22 2005 +0000
     1.2 +++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.3 @@ -1,1174 +0,0 @@
     1.4 -// -*- c++ -*- //
     1.5 -
     1.6 -/**
     1.7 -@defgroup paths Path Structures
     1.8 -@ingroup datas
     1.9 -\brief Path structures implemented in LEMON.
    1.10 -
    1.11 -LEMON provides flexible data structures
    1.12 -to work with paths.
    1.13 -
    1.14 -All of them have the same interface, especially they can be built or extended
    1.15 -using a standard Builder subclass. This make is easy to have e.g. the Dijkstra
    1.16 -algorithm to store its result in any kind of path structure.
    1.17 -
    1.18 -\sa lemon::concept::Path
    1.19 -
    1.20 -*/
    1.21 -
    1.22 -///\ingroup paths
    1.23 -///\file
    1.24 -///\brief Classes for representing paths in graphs.
    1.25 -
    1.26 -#ifndef LEMON_PATH_H
    1.27 -#define LEMON_PATH_H
    1.28 -
    1.29 -#include <deque>
    1.30 -#include <vector>
    1.31 -#include <algorithm>
    1.32 -
    1.33 -#include <lemon/invalid.h>
    1.34 -#include <lemon/error.h>
    1.35 -#include <debug.h>
    1.36 -
    1.37 -namespace lemon {
    1.38 -
    1.39 -  /// \addtogroup paths
    1.40 -  /// @{
    1.41 -
    1.42 -
    1.43 -  //! \brief A structure for representing directed paths in a graph.
    1.44 -  //!
    1.45 -  //! A structure for representing directed path in a graph.
    1.46 -  //! \param Graph The graph type in which the path is.
    1.47 -  //! \param DM DebugMode, defaults to DefaultDebugMode.
    1.48 -  //! 
    1.49 -  //! In a sense, the path can be treated as a graph, for is has \c NodeIt
    1.50 -  //! and \c EdgeIt with the same usage. These types converts to the \c Node
    1.51 -  //! and \c Edge of the original graph.
    1.52 -  //!
    1.53 -  //! \todo Thoroughfully check all the range and consistency tests.
    1.54 -  template<typename Graph, typename DM = DefaultDebugMode>
    1.55 -  class DirPath {
    1.56 -  public:
    1.57 -    /// Edge type of the underlying graph.
    1.58 -    typedef typename Graph::Edge GraphEdge; 
    1.59 -    /// Node type of the underlying graph.
    1.60 -    typedef typename Graph::Node GraphNode;
    1.61 -    class NodeIt;
    1.62 -    class EdgeIt;
    1.63 -
    1.64 -  protected:
    1.65 -    const Graph *gr;
    1.66 -    typedef std::vector<GraphEdge> Container;
    1.67 -    Container edges;
    1.68 -
    1.69 -  public:
    1.70 -
    1.71 -    /// \param _G The graph in which the path is.
    1.72 -    ///
    1.73 -    DirPath(const Graph &_G) : gr(&_G) {}
    1.74 -
    1.75 -    /// \brief Subpath constructor.
    1.76 -    ///
    1.77 -    /// Subpath defined by two nodes.
    1.78 -    /// \warning It is an error if the two edges are not in order!
    1.79 -    DirPath(const DirPath &P, const NodeIt &a, const NodeIt &b) {
    1.80 -      if( DM::range_check && (!a.valid() || !b.valid) ) {
    1.81 -	// FIXME: this check should be more elaborate...
    1.82 -	fault("DirPath, subpath ctor: invalid bounding nodes");
    1.83 -      }
    1.84 -      gr = P.gr;
    1.85 -      edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
    1.86 -    }
    1.87 -
    1.88 -    /// \brief Subpath constructor.
    1.89 -    ///
    1.90 -    /// Subpath defined by two edges. Contains edges in [a,b)
    1.91 -    /// \warning It is an error if the two edges are not in order!
    1.92 -    DirPath(const DirPath &P, const EdgeIt &a, const EdgeIt &b) {
    1.93 -      if( DM::range_check && (!a.valid() || !b.valid) ) {
    1.94 -	// FIXME: this check should be more elaborate...
    1.95 -	fault("DirPath, subpath ctor: invalid bounding nodes");
    1.96 -      }
    1.97 -      gr = P.gr;
    1.98 -      edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
    1.99 -    }
   1.100 -
   1.101 -    /// Length of the path.
   1.102 -    size_t length() const { return edges.size(); }
   1.103 -    /// Returns whether the path is empty.
   1.104 -    bool empty() const { return edges.empty(); }
   1.105 -
   1.106 -    /// Resets the path to an empty path.
   1.107 -    void clear() { edges.clear(); }
   1.108 -
   1.109 -    /// \brief Starting point of the path.
   1.110 -    ///
   1.111 -    /// Starting point of the path.
   1.112 -    /// Returns INVALID if the path is empty.
   1.113 -    GraphNode from() const {
   1.114 -      return empty() ? INVALID : gr->source(edges[0]);
   1.115 -    }
   1.116 -    /// \brief End point of the path.
   1.117 -    ///
   1.118 -    /// End point of the path.
   1.119 -    /// Returns INVALID if the path is empty.
   1.120 -    GraphNode to() const {
   1.121 -      return empty() ? INVALID : gr->target(edges[length()-1]);
   1.122 -    }
   1.123 -
   1.124 -    /// \brief Initializes node or edge iterator to point to the first
   1.125 -    /// node or edge.
   1.126 -    ///
   1.127 -    /// \sa nth
   1.128 -    template<typename It>
   1.129 -    It& first(It &i) const { return i=It(*this); }
   1.130 -
   1.131 -    /// \brief Initializes node iterator to point to the node of a given index.
   1.132 -    NodeIt& nth(NodeIt &i, int n) const {
   1.133 -      if( DM::range_check && (n<0 || n>int(length())) )
   1.134 -	fault("DirPath::nth: index out of range");
   1.135 -      return i=NodeIt(*this, n);
   1.136 -    }
   1.137 -
   1.138 -    /// \brief Initializes edge iterator to point to the edge of a given index.
   1.139 -    EdgeIt& nth(EdgeIt &i, int n) const {
   1.140 -      if( DM::range_check && (n<0 || n>=int(length())) )
   1.141 -	fault("DirPath::nth: index out of range");
   1.142 -      return i=EdgeIt(*this, n);
   1.143 -    }
   1.144 -
   1.145 -    /// Checks validity of a node or edge iterator.
   1.146 -    template<typename It>
   1.147 -    static
   1.148 -    bool valid(const It &i) { return i.valid(); }
   1.149 -
   1.150 -    /// Steps the given node or edge iterator.
   1.151 -    template<typename It>
   1.152 -    static
   1.153 -    It& next(It &e) {
   1.154 -      if( DM::range_check && !e.valid() )
   1.155 -	fault("DirPath::next() on invalid iterator");
   1.156 -      return ++e;
   1.157 -    }
   1.158 -
   1.159 -    /// \brief Returns node iterator pointing to the target node of the
   1.160 -    /// given edge iterator.
   1.161 -    NodeIt target(const EdgeIt& e) const {
   1.162 -      if( DM::range_check && !e.valid() )
   1.163 -	fault("DirPath::target() on invalid iterator");
   1.164 -      return NodeIt(*this, e.idx+1);
   1.165 -    }
   1.166 -
   1.167 -    /// \brief Returns node iterator pointing to the source node of the
   1.168 -    /// given edge iterator.
   1.169 -    NodeIt source(const EdgeIt& e) const {
   1.170 -      if( DM::range_check && !e.valid() )
   1.171 -	fault("DirPath::source() on invalid iterator");
   1.172 -      return NodeIt(*this, e.idx);
   1.173 -    }
   1.174 -
   1.175 -
   1.176 -    /* Iterator classes */
   1.177 -
   1.178 -    /**
   1.179 -     * \brief Iterator class to iterate on the edges of the paths
   1.180 -     * 
   1.181 -     * \ingroup paths
   1.182 -     * This class is used to iterate on the edges of the paths
   1.183 -     *
   1.184 -     * Of course it converts to Graph::Edge
   1.185 -     * 
   1.186 -     * \todo Its interface differs from the standard edge iterator.
   1.187 -     * Yes, it shouldn't.
   1.188 -     */
   1.189 -    class EdgeIt {
   1.190 -      friend class DirPath;
   1.191 -
   1.192 -      int idx;
   1.193 -      const DirPath *p;
   1.194 -    public:
   1.195 -      /// Default constructor
   1.196 -      EdgeIt() {}
   1.197 -      /// Invalid constructor
   1.198 -      EdgeIt(Invalid) : idx(-1), p(0) {}
   1.199 -      /// Constructor with starting point
   1.200 -      EdgeIt(const DirPath &_p, int _idx = 0) :
   1.201 -	idx(_idx), p(&_p) { validate(); }
   1.202 -
   1.203 -      ///Validity check
   1.204 -      bool valid() const { return idx!=-1; }
   1.205 -
   1.206 -      ///Conversion to Graph::Edge
   1.207 -      operator GraphEdge () const {
   1.208 -	return valid() ? p->edges[idx] : INVALID;
   1.209 -      }
   1.210 -
   1.211 -      /// Next edge
   1.212 -      EdgeIt& operator++() { ++idx; validate(); return *this; }
   1.213 -
   1.214 -      /// Comparison operator
   1.215 -      bool operator==(const EdgeIt& e) const { return idx==e.idx; }
   1.216 -      /// Comparison operator
   1.217 -      bool operator!=(const EdgeIt& e) const { return idx!=e.idx; }
   1.218 -      /// Comparison operator
   1.219 -      bool operator<(const EdgeIt& e) const { return idx<e.idx; }
   1.220 -
   1.221 -    private:
   1.222 -      // FIXME: comparison between signed and unsigned...
   1.223 -      // Jo ez igy? Vagy esetleg legyen a length() int?
   1.224 -      void validate() { if( size_t(idx) >= p->length() ) idx=-1; }
   1.225 -    };
   1.226 -
   1.227 -    /**
   1.228 -     * \brief Iterator class to iterate on the nodes of the paths
   1.229 -     * 
   1.230 -     * \ingroup paths
   1.231 -     * This class is used to iterate on the nodes of the paths
   1.232 -     *
   1.233 -     * Of course it converts to Graph::Node
   1.234 -     * 
   1.235 -     * \todo Its interface differs from the standard node iterator.
   1.236 -     * Yes, it shouldn't.
   1.237 -     */
   1.238 -    class NodeIt {
   1.239 -      friend class DirPath;
   1.240 -
   1.241 -      int idx;
   1.242 -      const DirPath *p;
   1.243 -    public:
   1.244 -      /// Default constructor
   1.245 -      NodeIt() {}
   1.246 -      /// Invalid constructor
   1.247 -      NodeIt(Invalid) : idx(-1), p(0) {}
   1.248 -      /// Constructor with starting point
   1.249 -      NodeIt(const DirPath &_p, int _idx = 0) :
   1.250 -	idx(_idx), p(&_p) { validate(); }
   1.251 -
   1.252 -      ///Validity check
   1.253 -      bool valid() const { return idx!=-1; }
   1.254 -
   1.255 -      ///Conversion to Graph::Node
   1.256 -      operator const GraphNode& () const {
   1.257 -	if(idx >= p->length())
   1.258 -	  return p->to();
   1.259 -	else if(idx >= 0)
   1.260 -	  return p->gr->source(p->edges[idx]);
   1.261 -	else
   1.262 -	  return INVALID;
   1.263 -      }
   1.264 -      /// Next node
   1.265 -      NodeIt& operator++() { ++idx; validate(); return *this; }
   1.266 -
   1.267 -      /// Comparison operator
   1.268 -      bool operator==(const NodeIt& e) const { return idx==e.idx; }
   1.269 -      /// Comparison operator
   1.270 -      bool operator!=(const NodeIt& e) const { return idx!=e.idx; }
   1.271 -      /// Comparison operator
   1.272 -      bool operator<(const NodeIt& e) const { return idx<e.idx; }
   1.273 -
   1.274 -    private:
   1.275 -      void validate() { if( size_t(idx) > p->length() ) idx=-1; }
   1.276 -    };
   1.277 -
   1.278 -    friend class Builder;    
   1.279 -
   1.280 -    /**
   1.281 -     * \brief Class to build paths
   1.282 -     * 
   1.283 -     * \ingroup paths
   1.284 -     * This class is used to fill a path with edges.
   1.285 -     *
   1.286 -     * You can push new edges to the front and to the back of the path in
   1.287 -     * arbitrary order then you should commit these changes to the graph.
   1.288 -     *
   1.289 -     * Fundamentally, for most "Paths" (classes fulfilling the
   1.290 -     * PathConcept) while the builder is active (after the first modifying
   1.291 -     * operation and until the commit()) the original Path is in a
   1.292 -     * "transitional" state (operations on it have undefined result). But
   1.293 -     * in the case of DirPath the original path remains unchanged until the
   1.294 -     * commit. However we don't recomend that you use this feature.
   1.295 -     */
   1.296 -    class Builder {
   1.297 -      DirPath &P;
   1.298 -      Container front, back;
   1.299 -
   1.300 -    public:
   1.301 -      ///\param _P the path you want to fill in.
   1.302 -      ///
   1.303 -      Builder(DirPath &_P) : P(_P) {}
   1.304 -
   1.305 -      /// Sets the starting node of the path.
   1.306 -      
   1.307 -      /// Sets the starting node of the path. Edge added to the path
   1.308 -      /// afterwards have to be incident to this node.
   1.309 -      /// It should be called iff the path is empty and before any call to
   1.310 -      /// \ref pushFront() or \ref pushBack()
   1.311 -      void setStartNode(const GraphNode &) {}
   1.312 -
   1.313 -      ///Push a new edge to the front of the path
   1.314 -
   1.315 -      ///Push a new edge to the front of the path.
   1.316 -      ///\sa setStartNode
   1.317 -      void pushFront(const GraphEdge& e) {
   1.318 -	if( DM::consistensy_check && !empty() && P.gr->target(e)!=from() ) {
   1.319 -	  fault("DirPath::Builder::pushFront: nonincident edge");
   1.320 -	}
   1.321 -	front.push_back(e);
   1.322 -      }
   1.323 -
   1.324 -      ///Push a new edge to the back of the path
   1.325 -
   1.326 -      ///Push a new edge to the back of the path.
   1.327 -      ///\sa setStartNode
   1.328 -      void pushBack(const GraphEdge& e) {
   1.329 -	if( DM::consistensy_check && !empty() && P.gr->source(e)!=to() ) {
   1.330 -	  fault("DirPath::Builder::pushBack: nonincident edge");
   1.331 -	}
   1.332 -	back.push_back(e);
   1.333 -      }
   1.334 -
   1.335 -      ///Commit the changes to the path.
   1.336 -      void commit() {
   1.337 -	if( !(front.empty() && back.empty()) ) {
   1.338 -	  Container tmp;
   1.339 -	  tmp.reserve(front.size()+back.size()+P.length());
   1.340 -	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
   1.341 -	  tmp.insert(tmp.end(), P.edges.begin(), P.edges.end());
   1.342 -	  tmp.insert(tmp.end(), back.begin(), back.end());
   1.343 -	  P.edges.swap(tmp);
   1.344 -	  front.clear();
   1.345 -	  back.clear();
   1.346 -	}
   1.347 -      }
   1.348 -
   1.349 -      // FIXME: Hmm, pontosan hogy is kene ezt csinalni?
   1.350 -      // Hogy kenyelmes egy ilyet hasznalni?
   1.351 -  
   1.352 -      ///Reserve storage for the builder in advance.
   1.353 -
   1.354 -      ///If you know an reasonable upper bound of the number of the edges
   1.355 -      ///to add, using this function you can speed up the building.
   1.356 -      void reserve(size_t r) {
   1.357 -	front.reserve(r);
   1.358 -	back.reserve(r);
   1.359 -      }
   1.360 -
   1.361 -    private:
   1.362 -      bool empty() {
   1.363 -	return front.empty() && back.empty() && P.empty();
   1.364 -      }
   1.365 -
   1.366 -      GraphNode from() const {
   1.367 -	if( ! front.empty() )
   1.368 -	  return P.gr->source(front[front.size()-1]);
   1.369 -	else if( ! P.empty() )
   1.370 -	  return P.gr->source(P.edges[0]);
   1.371 -	else if( ! back.empty() )
   1.372 -	  return P.gr->source(back[0]);
   1.373 -	else
   1.374 -	  return INVALID;
   1.375 -      }
   1.376 -      GraphNode to() const {
   1.377 -	if( ! back.empty() )
   1.378 -	  return P.gr->target(back[back.size()-1]);
   1.379 -	else if( ! P.empty() )
   1.380 -	  return P.gr->target(P.edges[P.length()-1]);
   1.381 -	else if( ! front.empty() )
   1.382 -	  return P.gr->target(front[0]);
   1.383 -	else
   1.384 -	  return INVALID;
   1.385 -      }
   1.386 -
   1.387 -    };
   1.388 -
   1.389 -  };
   1.390 -
   1.391 -
   1.392 -
   1.393 -
   1.394 -
   1.395 -
   1.396 -
   1.397 -
   1.398 -
   1.399 -
   1.400 -  /**********************************************************************/
   1.401 -
   1.402 -
   1.403 -  //! \brief A structure for representing undirected path in a graph.
   1.404 -  //!
   1.405 -  //! A structure for representing undirected path in a graph. Ie. this is
   1.406 -  //! a path in a \e directed graph but the edges should not be directed
   1.407 -  //! forward.
   1.408 -  //!
   1.409 -  //! \param Graph The graph type in which the path is.
   1.410 -  //! \param DM DebugMode, defaults to DefaultDebugMode.
   1.411 -  //! 
   1.412 -  //! In a sense, the path can be treated as a graph, for is has \c NodeIt
   1.413 -  //! and \c EdgeIt with the same usage. These types converts to the \c Node
   1.414 -  //! and \c Edge of the original graph.
   1.415 -  //!
   1.416 -  //! \todo Thoroughfully check all the range and consistency tests.
   1.417 -  template<typename Graph, typename DM = DefaultDebugMode>
   1.418 -  class UndirPath {
   1.419 -  public:
   1.420 -    /// Edge type of the underlying graph.
   1.421 -    typedef typename Graph::Edge GraphEdge;
   1.422 -     /// Node type of the underlying graph.
   1.423 -   typedef typename Graph::Node GraphNode;
   1.424 -    class NodeIt;
   1.425 -    class EdgeIt;
   1.426 -
   1.427 -  protected:
   1.428 -    const Graph *gr;
   1.429 -    typedef std::vector<GraphEdge> Container;
   1.430 -    Container edges;
   1.431 -
   1.432 -  public:
   1.433 -
   1.434 -    /// \param _G The graph in which the path is.
   1.435 -    ///
   1.436 -    UndirPath(const Graph &_G) : gr(&_G) {}
   1.437 -
   1.438 -    /// \brief Subpath constructor.
   1.439 -    ///
   1.440 -    /// Subpath defined by two nodes.
   1.441 -    /// \warning It is an error if the two edges are not in order!
   1.442 -    UndirPath(const UndirPath &P, const NodeIt &a, const NodeIt &b) {
   1.443 -      if( DM::range_check && (!a.valid() || !b.valid) ) {
   1.444 -	// FIXME: this check should be more elaborate...
   1.445 -	fault("UndirPath, subpath ctor: invalid bounding nodes");
   1.446 -      }
   1.447 -      gr = P.gr;
   1.448 -      edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
   1.449 -    }
   1.450 -
   1.451 -    /// \brief Subpath constructor.
   1.452 -    ///
   1.453 -    /// Subpath defined by two edges. Contains edges in [a,b)
   1.454 -    /// \warning It is an error if the two edges are not in order!
   1.455 -    UndirPath(const UndirPath &P, const EdgeIt &a, const EdgeIt &b) {
   1.456 -      if( DM::range_check && (!a.valid() || !b.valid) ) {
   1.457 -	// FIXME: this check should be more elaborate...
   1.458 -	fault("UndirPath, subpath ctor: invalid bounding nodes");
   1.459 -      }
   1.460 -      gr = P.gr;
   1.461 -      edges.insert(edges.end(), P.edges.begin()+a.idx, P.edges.begin()+b.idx);
   1.462 -    }
   1.463 -
   1.464 -    /// Length of the path.
   1.465 -    size_t length() const { return edges.size(); }
   1.466 -    /// Returns whether the path is empty.
   1.467 -    bool empty() const { return edges.empty(); }
   1.468 -
   1.469 -    /// Resets the path to an empty path.
   1.470 -    void clear() { edges.clear(); }
   1.471 -
   1.472 -    /// \brief Starting point of the path.
   1.473 -    ///
   1.474 -    /// Starting point of the path.
   1.475 -    /// Returns INVALID if the path is empty.
   1.476 -    GraphNode from() const {
   1.477 -      return empty() ? INVALID : gr->source(edges[0]);
   1.478 -    }
   1.479 -    /// \brief End point of the path.
   1.480 -    ///
   1.481 -    /// End point of the path.
   1.482 -    /// Returns INVALID if the path is empty.
   1.483 -    GraphNode to() const {
   1.484 -      return empty() ? INVALID : gr->target(edges[length()-1]);
   1.485 -    }
   1.486 -
   1.487 -    /// \brief Initializes node or edge iterator to point to the first
   1.488 -    /// node or edge.
   1.489 -    ///
   1.490 -    /// \sa nth
   1.491 -    template<typename It>
   1.492 -    It& first(It &i) const { return i=It(*this); }
   1.493 -
   1.494 -    /// \brief Initializes node iterator to point to the node of a given index.
   1.495 -    NodeIt& nth(NodeIt &i, int n) const {
   1.496 -      if( DM::range_check && (n<0 || n>int(length())) )
   1.497 -	fault("UndirPath::nth: index out of range");
   1.498 -      return i=NodeIt(*this, n);
   1.499 -    }
   1.500 -
   1.501 -    /// \brief Initializes edge iterator to point to the edge of a given index.
   1.502 -    EdgeIt& nth(EdgeIt &i, int n) const {
   1.503 -      if( DM::range_check && (n<0 || n>=int(length())) )
   1.504 -	fault("UndirPath::nth: index out of range");
   1.505 -      return i=EdgeIt(*this, n);
   1.506 -    }
   1.507 -
   1.508 -    /// Checks validity of a node or edge iterator.
   1.509 -    template<typename It>
   1.510 -    static
   1.511 -    bool valid(const It &i) { return i.valid(); }
   1.512 -
   1.513 -    /// Steps the given node or edge iterator.
   1.514 -    template<typename It>
   1.515 -    static
   1.516 -    It& next(It &e) {
   1.517 -      if( DM::range_check && !e.valid() )
   1.518 -	fault("UndirPath::next() on invalid iterator");
   1.519 -      return ++e;
   1.520 -    }
   1.521 -
   1.522 -    /// \brief Returns node iterator pointing to the target node of the
   1.523 -    /// given edge iterator.
   1.524 -    NodeIt target(const EdgeIt& e) const {
   1.525 -      if( DM::range_check && !e.valid() )
   1.526 -	fault("UndirPath::target() on invalid iterator");
   1.527 -      return NodeIt(*this, e.idx+1);
   1.528 -    }
   1.529 -
   1.530 -    /// \brief Returns node iterator pointing to the source node of the
   1.531 -    /// given edge iterator.
   1.532 -    NodeIt source(const EdgeIt& e) const {
   1.533 -      if( DM::range_check && !e.valid() )
   1.534 -	fault("UndirPath::source() on invalid iterator");
   1.535 -      return NodeIt(*this, e.idx);
   1.536 -    }
   1.537 -
   1.538 -
   1.539 -
   1.540 -    /**
   1.541 -     * \brief Iterator class to iterate on the edges of the paths
   1.542 -     * 
   1.543 -     * \ingroup paths
   1.544 -     * This class is used to iterate on the edges of the paths
   1.545 -     *
   1.546 -     * Of course it converts to Graph::Edge
   1.547 -     * 
   1.548 -     * \todo Its interface differs from the standard edge iterator.
   1.549 -     * Yes, it shouldn't.
   1.550 -     */
   1.551 -    class EdgeIt {
   1.552 -      friend class UndirPath;
   1.553 -
   1.554 -      int idx;
   1.555 -      const UndirPath *p;
   1.556 -    public:
   1.557 -      /// Default constructor
   1.558 -      EdgeIt() {}
   1.559 -      /// Invalid constructor
   1.560 -      EdgeIt(Invalid) : idx(-1), p(0) {}
   1.561 -      /// Constructor with starting point
   1.562 -      EdgeIt(const UndirPath &_p, int _idx = 0) :
   1.563 -	idx(_idx), p(&_p) { validate(); }
   1.564 -
   1.565 -      ///Validity check
   1.566 -      bool valid() const { return idx!=-1; }
   1.567 -
   1.568 -      ///Conversion to Graph::Edge
   1.569 -      operator GraphEdge () const {
   1.570 -	return valid() ? p->edges[idx] : INVALID;
   1.571 -      }
   1.572 -      /// Next edge
   1.573 -     EdgeIt& operator++() { ++idx; validate(); return *this; }
   1.574 -
   1.575 -      /// Comparison operator
   1.576 -      bool operator==(const EdgeIt& e) const { return idx==e.idx; }
   1.577 -      /// Comparison operator
   1.578 -      bool operator!=(const EdgeIt& e) const { return idx!=e.idx; }
   1.579 -      /// Comparison operator
   1.580 -      bool operator<(const EdgeIt& e) const { return idx<e.idx; }
   1.581 -
   1.582 -    private:
   1.583 -      // FIXME: comparison between signed and unsigned...
   1.584 -      // Jo ez igy? Vagy esetleg legyen a length() int?
   1.585 -      void validate() { if( size_t(idx) >= p->length() ) idx=-1; }
   1.586 -    };
   1.587 -
   1.588 -    /**
   1.589 -     * \brief Iterator class to iterate on the nodes of the paths
   1.590 -     * 
   1.591 -     * \ingroup paths
   1.592 -     * This class is used to iterate on the nodes of the paths
   1.593 -     *
   1.594 -     * Of course it converts to Graph::Node
   1.595 -     * 
   1.596 -     * \todo Its interface differs from the standard node iterator.
   1.597 -     * Yes, it shouldn't.
   1.598 -     */
   1.599 -    class NodeIt {
   1.600 -      friend class UndirPath;
   1.601 -
   1.602 -      int idx;
   1.603 -      const UndirPath *p;
   1.604 -    public:
   1.605 -      /// Default constructor
   1.606 -      NodeIt() {}
   1.607 -      /// Invalid constructor
   1.608 -      NodeIt(Invalid) : idx(-1), p(0) {}
   1.609 -      /// Constructor with starting point
   1.610 -      NodeIt(const UndirPath &_p, int _idx = 0) :
   1.611 -	idx(_idx), p(&_p) { validate(); }
   1.612 -
   1.613 -      ///Validity check
   1.614 -      bool valid() const { return idx!=-1; }
   1.615 -
   1.616 -      ///Conversion to Graph::Node
   1.617 -      operator const GraphNode& () const {
   1.618 -	if(idx >= p->length())
   1.619 -	  return p->to();
   1.620 -	else if(idx >= 0)
   1.621 -	  return p->gr->source(p->edges[idx]);
   1.622 -	else
   1.623 -	  return INVALID;
   1.624 -      }
   1.625 -      /// Next node
   1.626 -      NodeIt& operator++() { ++idx; validate(); return *this; }
   1.627 -
   1.628 -      /// Comparison operator
   1.629 -      bool operator==(const NodeIt& e) const { return idx==e.idx; }
   1.630 -      /// Comparison operator
   1.631 -      bool operator!=(const NodeIt& e) const { return idx!=e.idx; }
   1.632 -       /// Comparison operator
   1.633 -     bool operator<(const NodeIt& e) const { return idx<e.idx; }
   1.634 -
   1.635 -    private:
   1.636 -      void validate() { if( size_t(idx) > p->length() ) idx=-1; }
   1.637 -    };
   1.638 -
   1.639 -    friend class Builder;    
   1.640 -
   1.641 -    /**
   1.642 -     * \brief Class to build paths
   1.643 -     * 
   1.644 -     * \ingroup paths
   1.645 -     * This class is used to fill a path with edges.
   1.646 -     *
   1.647 -     * You can push new edges to the front and to the back of the path in
   1.648 -     * arbitrary order then you should commit these changes to the graph.
   1.649 -     *
   1.650 -     * Fundamentally, for most "Paths" (classes fulfilling the
   1.651 -     * PathConcept) while the builder is active (after the first modifying
   1.652 -     * operation and until the commit()) the original Path is in a
   1.653 -     * "transitional" state (operations ot it have undefined result). But
   1.654 -     * in the case of UndirPath the original path is unchanged until the
   1.655 -     * commit. However we don't recomend that you use this feature.
   1.656 -     */
   1.657 -    class Builder {
   1.658 -      UndirPath &P;
   1.659 -      Container front, back;
   1.660 -
   1.661 -    public:
   1.662 -      ///\param _P the path you want to fill in.
   1.663 -      ///
   1.664 -      Builder(UndirPath &_P) : P(_P) {}
   1.665 -
   1.666 -      /// Sets the starting node of the path.
   1.667 -      
   1.668 -      /// Sets the starting node of the path. Edge added to the path
   1.669 -      /// afterwards have to be incident to this node.
   1.670 -      /// It should be called iff the path is empty and before any call to
   1.671 -      /// \ref pushFront() or \ref pushBack()
   1.672 -      void setStartNode(const GraphNode &) {}
   1.673 -
   1.674 -      ///Push a new edge to the front of the path
   1.675 -
   1.676 -      ///Push a new edge to the front of the path.
   1.677 -      ///\sa setStartNode
   1.678 -      void pushFront(const GraphEdge& e) {
   1.679 -	if( DM::consistensy_check && !empty() && P.gr->target(e)!=from() ) {
   1.680 -	  fault("UndirPath::Builder::pushFront: nonincident edge");
   1.681 -	}
   1.682 -	front.push_back(e);
   1.683 -      }
   1.684 -
   1.685 -      ///Push a new edge to the back of the path
   1.686 -
   1.687 -      ///Push a new edge to the back of the path.
   1.688 -      ///\sa setStartNode
   1.689 -      void pushBack(const GraphEdge& e) {
   1.690 -	if( DM::consistensy_check && !empty() && P.gr->source(e)!=to() ) {
   1.691 -	  fault("UndirPath::Builder::pushBack: nonincident edge");
   1.692 -	}
   1.693 -	back.push_back(e);
   1.694 -      }
   1.695 -
   1.696 -      ///Commit the changes to the path.
   1.697 -      void commit() {
   1.698 -	if( !(front.empty() && back.empty()) ) {
   1.699 -	  Container tmp;
   1.700 -	  tmp.reserve(front.size()+back.size()+P.length());
   1.701 -	  tmp.insert(tmp.end(), front.rbegin(), front.rend());
   1.702 -	  tmp.insert(tmp.end(), P.edges.begin(), P.edges.end());
   1.703 -	  tmp.insert(tmp.end(), back.begin(), back.end());
   1.704 -	  P.edges.swap(tmp);
   1.705 -	  front.clear();
   1.706 -	  back.clear();
   1.707 -	}
   1.708 -      }
   1.709 -
   1.710 -      // FIXME: Hmm, pontosan hogy is kene ezt csinalni?
   1.711 -      // Hogy kenyelmes egy ilyet hasznalni?
   1.712 -
   1.713 -      ///Reserve storage for the builder in advance.
   1.714 -
   1.715 -      ///If you know an reasonable upper bound of the number of the edges
   1.716 -      ///to add, using this function you can speed up the building.
   1.717 -       void reserve(size_t r) {
   1.718 -	front.reserve(r);
   1.719 -	back.reserve(r);
   1.720 -      }
   1.721 -
   1.722 -    private:
   1.723 -      bool empty() {
   1.724 -	return front.empty() && back.empty() && P.empty();
   1.725 -      }
   1.726 -
   1.727 -      GraphNode from() const {
   1.728 -	if( ! front.empty() )
   1.729 -	  return P.gr->source(front[front.size()-1]);
   1.730 -	else if( ! P.empty() )
   1.731 -	  return P.gr->source(P.edges[0]);
   1.732 -	else if( ! back.empty() )
   1.733 -	  return P.gr->source(back[0]);
   1.734 -	else
   1.735 -	  return INVALID;
   1.736 -      }
   1.737 -      GraphNode to() const {
   1.738 -	if( ! back.empty() )
   1.739 -	  return P.gr->target(back[back.size()-1]);
   1.740 -	else if( ! P.empty() )
   1.741 -	  return P.gr->target(P.edges[P.length()-1]);
   1.742 -	else if( ! front.empty() )
   1.743 -	  return P.gr->target(front[0]);
   1.744 -	else
   1.745 -	  return INVALID;
   1.746 -      }
   1.747 -
   1.748 -    };
   1.749 -
   1.750 -  };
   1.751 -
   1.752 -
   1.753 -
   1.754 -
   1.755 -
   1.756 -
   1.757 -
   1.758 -
   1.759 -
   1.760 -
   1.761 -  /**********************************************************************/
   1.762 -
   1.763 -
   1.764 -  /* Ennek az allocatorosdinak sokkal jobban utana kene nezni a hasznalata
   1.765 -     elott. Eleg bonyinak nez ki, ahogyan azokat az STL-ben hasznaljak. */
   1.766 -
   1.767 -  template<typename Graph>
   1.768 -  class DynamicPath {
   1.769 -
   1.770 -  public:
   1.771 -    typedef typename Graph::Edge GraphEdge;
   1.772 -    typedef typename Graph::Node GraphNode;
   1.773 -    class NodeIt;
   1.774 -    class EdgeIt;
   1.775 -
   1.776 -  protected:
   1.777 -    Graph& G;
   1.778 -    // FIXME: ehelyett eleg lenne tarolni ket boolt: a ket szelso el
   1.779 -    // iranyitasat:
   1.780 -    GraphNode _first, _last;
   1.781 -    typedef std::deque<GraphEdge> Container;
   1.782 -    Container edges;
   1.783 -
   1.784 -  public:
   1.785 -
   1.786 -    DynamicPath(Graph &_G) : G(_G), _first(INVALID), _last(INVALID) {}
   1.787 -
   1.788 -    /// Subpath defined by two nodes.
   1.789 -    /// Nodes may be in reversed order, then
   1.790 -    /// we contstruct the reversed path.
   1.791 -    DynamicPath(const DynamicPath &P, const NodeIt &a, const NodeIt &b);
   1.792 -    /// Subpath defined by two edges. Contains edges in [a,b)
   1.793 -    /// It is an error if the two edges are not in order!
   1.794 -    DynamicPath(const DynamicPath &P, const EdgeIt &a, const EdgeIt &b);
   1.795 -    
   1.796 -    size_t length() const { return edges.size(); }
   1.797 -    GraphNode from() const { return _first; }
   1.798 -    GraphNode to() const { return _last; }
   1.799 -
   1.800 -    NodeIt& first(NodeIt &n) const { return nth(n, 0); }
   1.801 -    EdgeIt& first(EdgeIt &e) const { return nth(e, 0); }
   1.802 -    template<typename It>
   1.803 -    It first() const { 
   1.804 -      It e;
   1.805 -      first(e);
   1.806 -      return e; 
   1.807 -    }
   1.808 -
   1.809 -    NodeIt& nth(NodeIt &, size_t) const;
   1.810 -    EdgeIt& nth(EdgeIt &, size_t) const;
   1.811 -    template<typename It>
   1.812 -    It nth(size_t n) const { 
   1.813 -      It e;
   1.814 -      nth(e, n);
   1.815 -      return e; 
   1.816 -    }
   1.817 -
   1.818 -    bool valid(const NodeIt &n) const { return n.idx <= length(); }
   1.819 -    bool valid(const EdgeIt &e) const { return e.it < edges.end(); }
   1.820 -
   1.821 -    bool isForward(const EdgeIt &e) const { return e.forw; }
   1.822 -
   1.823 -    /// index of a node on the path. Returns length+2 for the invalid NodeIt
   1.824 -    int index(const NodeIt &n) const { return n.idx; }
   1.825 -    /// index of an edge on the path. Returns length+1 for the invalid EdgeIt
   1.826 -    int index(const EdgeIt &e) const { return e.it - edges.begin(); }
   1.827 -
   1.828 -    EdgeIt& next(EdgeIt &e) const;
   1.829 -    NodeIt& next(NodeIt &n) const;
   1.830 -    template <typename It>
   1.831 -    It getNext(It it) const {
   1.832 -      It tmp(it); return next(tmp);
   1.833 -    }
   1.834 -
   1.835 -    // A path is constructed using the following four functions.
   1.836 -    // They return false if the requested operation is inconsistent
   1.837 -    // with the path constructed so far.
   1.838 -    // If your path has only one edge you MUST set either "from" or "to"!
   1.839 -    // So you probably SHOULD call it in any case to be safe (and check the
   1.840 -    // returned value to check if your path is consistent with your idea).
   1.841 -    bool pushFront(const GraphEdge &e);
   1.842 -    bool pushBack(const GraphEdge &e);
   1.843 -    bool setFrom(const GraphNode &n);
   1.844 -    bool setTo(const GraphNode &n);
   1.845 -
   1.846 -    // WARNING: these two functions return the target/source of an edge with
   1.847 -    // respect to the direction of the path!
   1.848 -    // So G.target(P.graphEdge(e)) == P.graphNode(P.target(e)) holds only if 
   1.849 -    // P.forward(e) is true (or the edge is a loop)!
   1.850 -    NodeIt target(const EdgeIt& e) const;
   1.851 -    NodeIt source(const EdgeIt& e) const;
   1.852 -
   1.853 -    // FIXME: ezeknek valami jobb nev kellene!!!
   1.854 -    GraphEdge graphEdge(const EdgeIt& e) const;
   1.855 -    GraphNode graphNode(const NodeIt& n) const;
   1.856 -
   1.857 -
   1.858 -    /*** Iterator classes ***/
   1.859 -    class EdgeIt {
   1.860 -      friend class DynamicPath;
   1.861 -
   1.862 -      typename Container::const_iterator it;
   1.863 -      bool forw;
   1.864 -    public:
   1.865 -      // FIXME: jarna neki ilyen is...
   1.866 -      // EdgeIt(Invalid);
   1.867 -
   1.868 -      bool forward() const { return forw; }
   1.869 -
   1.870 -      bool operator==(const EdgeIt& e) const { return it==e.it; }
   1.871 -      bool operator!=(const EdgeIt& e) const { return it!=e.it; }
   1.872 -      bool operator<(const EdgeIt& e) const { return it<e.it; }
   1.873 -    };
   1.874 -
   1.875 -    class NodeIt {
   1.876 -      friend class DynamicPath;
   1.877 -
   1.878 -      size_t idx;
   1.879 -      bool source;  // Is this node the source of the edge with same idx?
   1.880 -
   1.881 -    public:
   1.882 -      // FIXME: jarna neki ilyen is...
   1.883 -      // NodeIt(Invalid);
   1.884 -
   1.885 -      bool operator==(const NodeIt& n) const { return idx==n.idx; }
   1.886 -      bool operator!=(const NodeIt& n) const { return idx!=n.idx; }
   1.887 -      bool operator<(const NodeIt& n) const { return idx<n.idx; }
   1.888 -    };
   1.889 -
   1.890 -  private:
   1.891 -    bool edgeIncident(const GraphEdge &e, const GraphNode &a,
   1.892 -		      GraphNode &b);
   1.893 -    bool connectTwoEdges(const GraphEdge &e, const GraphEdge &f);
   1.894 -  };
   1.895 -
   1.896 -  template<typename Gr>
   1.897 -  typename DynamicPath<Gr>::EdgeIt&
   1.898 -  DynamicPath<Gr>::next(DynamicPath::EdgeIt &e) const {
   1.899 -    if( e.it == edges.end() ) 
   1.900 -      return e;
   1.901 -
   1.902 -    GraphNode common_node = ( e.forw ? G.target(*e.it) : G.source(*e.it) );
   1.903 -    ++e.it;
   1.904 -
   1.905 -    // Invalid edgeit is always forward :)
   1.906 -    if( e.it == edges.end() ) {
   1.907 -      e.forw = true;
   1.908 -      return e;
   1.909 -    }
   1.910 -
   1.911 -    e.forw = ( G.source(*e.it) == common_node );
   1.912 -    return e;
   1.913 -  }
   1.914 -
   1.915 -  template<typename Gr>
   1.916 -  typename DynamicPath<Gr>::NodeIt& DynamicPath<Gr>::next(NodeIt &n) const {
   1.917 -    if( n.idx >= length() ) {
   1.918 -      // FIXME: invalid
   1.919 -      n.idx = length()+1;
   1.920 -      return n;
   1.921 -    }
   1.922 -
   1.923 -    
   1.924 -    GraphNode next_node = ( n.source ? G.target(edges[n.idx]) :
   1.925 -			      G.source(edges[n.idx]) );
   1.926 -    ++n.idx;
   1.927 -    if( n.idx < length() ) {
   1.928 -      n.source = ( next_node == G.source(edges[n.idx]) );
   1.929 -    }
   1.930 -    else {
   1.931 -      n.source = true;
   1.932 -    }
   1.933 -
   1.934 -    return n;
   1.935 -  }
   1.936 -
   1.937 -  template<typename Gr>
   1.938 -  bool DynamicPath<Gr>::edgeIncident(const GraphEdge &e, const GraphNode &a,
   1.939 -			  GraphNode &b) {
   1.940 -    if( G.source(e) == a ) {
   1.941 -      b=G.target(e);
   1.942 -      return true;
   1.943 -    }
   1.944 -    if( G.target(e) == a ) {
   1.945 -      b=G.source(e);
   1.946 -      return true;
   1.947 -    }
   1.948 -    return false;
   1.949 -  }
   1.950 -
   1.951 -  template<typename Gr>
   1.952 -  bool DynamicPath<Gr>::connectTwoEdges(const GraphEdge &e,
   1.953 -			     const GraphEdge &f) {
   1.954 -    if( edgeIncident(f, G.source(e), _last) ) {
   1.955 -      _first = G.target(e);
   1.956 -      return true;
   1.957 -    }
   1.958 -    if( edgeIncident(f, G.target(e), _last) ) {
   1.959 -      _first = G.source(e);
   1.960 -      return true;
   1.961 -    }
   1.962 -    return false;
   1.963 -  }
   1.964 -
   1.965 -  template<typename Gr>
   1.966 -  bool DynamicPath<Gr>::pushFront(const GraphEdge &e) {
   1.967 -    if( G.valid(_first) ) {
   1.968 -	if( edgeIncident(e, _first, _first) ) {
   1.969 -	  edges.push_front(e);
   1.970 -	  return true;
   1.971 -	}
   1.972 -	else
   1.973 -	  return false;
   1.974 -    }
   1.975 -    else if( length() < 1 || connectTwoEdges(e, edges[0]) ) {
   1.976 -      edges.push_front(e);
   1.977 -      return true;
   1.978 -    }
   1.979 -    else
   1.980 -      return false;
   1.981 -  }
   1.982 -
   1.983 -  template<typename Gr>
   1.984 -  bool DynamicPath<Gr>::pushBack(const GraphEdge &e) {
   1.985 -    if( G.valid(_last) ) {
   1.986 -	if( edgeIncident(e, _last, _last) ) {
   1.987 -	  edges.push_back(e);
   1.988 -	  return true;
   1.989 -	}
   1.990 -	else
   1.991 -	  return false;
   1.992 -    }
   1.993 -    else if( length() < 1 || connectTwoEdges(edges[0], e) ) {
   1.994 -      edges.push_back(e);
   1.995 -      return true;
   1.996 -    }
   1.997 -    else
   1.998 -      return false;
   1.999 -  }
  1.1000 -
  1.1001 -
  1.1002 -  template<typename Gr>
  1.1003 -  bool DynamicPath<Gr>::setFrom(const GraphNode &n) {
  1.1004 -    if( G.valid(_first) ) {
  1.1005 -      return _first == n;
  1.1006 -    }
  1.1007 -    else {
  1.1008 -      if( length() > 0) {
  1.1009 -	if( edgeIncident(edges[0], n, _last) ) {
  1.1010 -	  _first = n;
  1.1011 -	  return true;
  1.1012 -	}
  1.1013 -	else return false;
  1.1014 -      }
  1.1015 -      else {
  1.1016 -	_first = _last = n;
  1.1017 -	return true;
  1.1018 -      }
  1.1019 -    }
  1.1020 -  }
  1.1021 -
  1.1022 -  template<typename Gr>
  1.1023 -  bool DynamicPath<Gr>::setTo(const GraphNode &n) {
  1.1024 -    if( G.valid(_last) ) {
  1.1025 -      return _last == n;
  1.1026 -    }
  1.1027 -    else {
  1.1028 -      if( length() > 0) {
  1.1029 -	if( edgeIncident(edges[0], n, _first) ) {
  1.1030 -	  _last = n;
  1.1031 -	  return true;
  1.1032 -	}
  1.1033 -	else return false;
  1.1034 -      }
  1.1035 -      else {
  1.1036 -	_first = _last = n;
  1.1037 -	return true;
  1.1038 -      }
  1.1039 -    }
  1.1040 -  }
  1.1041 -
  1.1042 -
  1.1043 -  template<typename Gr>
  1.1044 -  typename DynamicPath<Gr>::NodeIt
  1.1045 -  DynamicPath<Gr>::source(const EdgeIt& e) const {
  1.1046 -    NodeIt n;
  1.1047 -
  1.1048 -    if( e.it == edges.end() ) {
  1.1049 -      // FIXME: invalid-> invalid
  1.1050 -      n.idx = length() + 1;
  1.1051 -      n.source = true;
  1.1052 -      return n;
  1.1053 -    }
  1.1054 -
  1.1055 -    n.idx = e.it-edges.begin();
  1.1056 -    n.source = e.forw;
  1.1057 -    return n;
  1.1058 -  }
  1.1059 -
  1.1060 -  template<typename Gr>
  1.1061 -  typename DynamicPath<Gr>::NodeIt
  1.1062 -  DynamicPath<Gr>::target(const EdgeIt& e) const {
  1.1063 -    if( e.it == edges.end()-1 ) {
  1.1064 -      return _last;
  1.1065 -    }
  1.1066 -
  1.1067 -    EdgeIt next_edge = e;
  1.1068 -    next(next_edge);
  1.1069 -    return source(next_edge);
  1.1070 -  }
  1.1071 -      
  1.1072 -  template<typename Gr>
  1.1073 -  typename DynamicPath<Gr>::GraphEdge
  1.1074 -  DynamicPath<Gr>::graphEdge(const EdgeIt& e) const {
  1.1075 -    if( e.it != edges.end() ) {
  1.1076 -      return *e.it;
  1.1077 -    }
  1.1078 -    else {
  1.1079 -      return INVALID;
  1.1080 -    }
  1.1081 -  }
  1.1082 -  
  1.1083 -  template<typename Gr>
  1.1084 -  typename DynamicPath<Gr>::GraphNode
  1.1085 -  DynamicPath<Gr>::graphNode(const NodeIt& n) const {
  1.1086 -    if( n.idx < length() ) {
  1.1087 -      return n.source ? G.source(edges[n.idx]) : G.target(edges[n.idx]);
  1.1088 -    }
  1.1089 -    else if( n.idx == length() ) {
  1.1090 -      return _last;
  1.1091 -    }
  1.1092 -    else {
  1.1093 -      return INVALID;
  1.1094 -    }
  1.1095 -  }
  1.1096 -
  1.1097 -  template<typename Gr>
  1.1098 -  typename DynamicPath<Gr>::EdgeIt&
  1.1099 -  DynamicPath<Gr>::nth(EdgeIt &e, size_t k) const {
  1.1100 -    if( k>=length() ) {
  1.1101 -      // FIXME: invalid EdgeIt
  1.1102 -      e.it = edges.end();
  1.1103 -      e.forw = true;
  1.1104 -      return e;
  1.1105 -    }
  1.1106 -
  1.1107 -    e.it = edges.begin()+k;
  1.1108 -    if(k==0) {
  1.1109 -      e.forw = ( G.source(*e.it) == _first );
  1.1110 -    }
  1.1111 -    else {
  1.1112 -      e.forw = ( G.source(*e.it) == G.source(edges[k-1]) ||
  1.1113 -		 G.source(*e.it) == G.target(edges[k-1]) );
  1.1114 -    }
  1.1115 -    return e;
  1.1116 -  }
  1.1117 -    
  1.1118 -  template<typename Gr>
  1.1119 -  typename DynamicPath<Gr>::NodeIt&
  1.1120 -  DynamicPath<Gr>::nth(NodeIt &n, size_t k) const {
  1.1121 -    if( k>length() ) {
  1.1122 -      // FIXME: invalid NodeIt
  1.1123 -      n.idx = length()+1;
  1.1124 -      n.source = true;
  1.1125 -      return n;
  1.1126 -    }
  1.1127 -    if( k==length() ) {
  1.1128 -      n.idx = length();
  1.1129 -      n.source = true;
  1.1130 -      return n;
  1.1131 -    }
  1.1132 -    n = source(nth<EdgeIt>(k));
  1.1133 -    return n;
  1.1134 -  }
  1.1135 -
  1.1136 -  // Reszut konstruktorok:
  1.1137 -
  1.1138 -
  1.1139 -  template<typename Gr>
  1.1140 -  DynamicPath<Gr>::DynamicPath(const DynamicPath &P, const EdgeIt &a,
  1.1141 -			       const EdgeIt &b) :
  1.1142 -    G(P.G), edges(a.it, b.it)    // WARNING: if b.it < a.it this will blow up! 
  1.1143 -  {
  1.1144 -    if( G.valid(P._first) && a.it < P.edges.end() ) {
  1.1145 -      _first = ( a.forw ? G.source(*a.it) : G.target(*a.it) );
  1.1146 -      if( b.it < P.edges.end() ) {
  1.1147 -	_last = ( b.forw ? G.source(*b.it) : G.target(*b.it) );
  1.1148 -      }
  1.1149 -      else {
  1.1150 -	_last = P._last;
  1.1151 -      }
  1.1152 -    }
  1.1153 -  }
  1.1154 -
  1.1155 -  template<typename Gr>
  1.1156 -  DynamicPath<Gr>::DynamicPath(const DynamicPath &P, const NodeIt &a,
  1.1157 -			       const NodeIt &b) : G(P.G)
  1.1158 -  {
  1.1159 -    if( !P.valid(a) || !P.valid(b) )
  1.1160 -      return;
  1.1161 -
  1.1162 -    int ai = a.idx, bi = b.idx;
  1.1163 -    if( bi<ai )
  1.1164 -      std::swap(ai,bi);
  1.1165 -    
  1.1166 -    edges.resize(bi-ai);
  1.1167 -    copy(P.edges.begin()+ai, P.edges.begin()+bi, edges.begin());
  1.1168 -
  1.1169 -    _first = P.graphNode(a);
  1.1170 -    _last = P.graphNode(b);
  1.1171 -  }
  1.1172 -
  1.1173 -  ///@}
  1.1174 -
  1.1175 -} // namespace lemon
  1.1176 -
  1.1177 -#endif // LEMON_PATH_H