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namespace lemon { |
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|
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/// \addtogroup shortest_path |
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/// @{ |
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|
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/// \brief Algorithm for finding arc-disjoint paths between two nodes |
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/// having minimum total length. |
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/// |
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/// \ref lemon::Suurballe "Suurballe" implements an algorithm for |
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/// finding arc-disjoint paths having minimum total length (cost) |
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/// from a given source node to a given target node in a digraph. |
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/// |
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/// Note that this problem is a special case of the \ref min_cost_flow |
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/// "minimum cost flow problem". This implementation is actually an |
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/// efficient specialized version of the \ref CapacityScaling |
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/// "Successive Shortest Path" algorithm directly for this problem. |
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/// Therefore this class provides query functions for flow values and |
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/// node potentials (the dual solution) just like the minimum cost flow |
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/// algorithms. |
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/// |
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/// \tparam GR The digraph type the algorithm runs on. |
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/// \tparam LEN The type of the length map. |
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/// The default value is <tt>GR::ArcMap<int></tt>. |
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/// |
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/// \warning Length values should be \e non-negative |
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/// \warning Length values should be \e non-negative. |
|
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/// |
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/// \note For finding node-disjoint paths this algorithm can be used |
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/// along with the \ref SplitNodes adaptor. |
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#ifdef DOXYGEN |
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template <typename GR, typename LEN> |
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#else |
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template < typename GR, |
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typename LEN = typename GR::template ArcMap<int> > |
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#endif |
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class Suurballe |
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{ |
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TEMPLATE_DIGRAPH_TYPEDEFS(GR); |
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|
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typedef ConstMap<Arc, int> ConstArcMap; |
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typedef typename GR::template NodeMap<Arc> PredMap; |
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|
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public: |
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|
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/// The type of the digraph the algorithm runs on. |
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typedef GR Digraph; |
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/// The type of the length map. |
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typedef LEN LengthMap; |
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/// The type of the lengths. |
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typedef typename LengthMap::Value Length; |
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Node _target; |
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|
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// Container to store the found paths |
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std::vector< SimplePath<Digraph> > paths; |
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int _path_num; |
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|
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// The pred arc map |
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PredMap _pred; |
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// Implementation of the Dijkstra algorithm for finding augmenting |
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// shortest paths in the residual network |
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ResidualDijkstra *_dijkstra; |
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|
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public: |
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|
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/// \brief Constructor. |
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/// |
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/// Constructor. |
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/// |
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/// \param graph The digraph the algorithm runs on. |
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/// \param length The length (cost) values of the arcs. |
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Suurballe( const Digraph &graph, |
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const LengthMap &length ) : |
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_graph(graph), _length(length), _flow(0), _local_flow(false), |
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_potential(0), _local_potential(false), _pred(graph) |
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{ |
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LEMON_ASSERT(std::numeric_limits<Length>::is_integer, |
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"The length type of Suurballe must be integer"); |
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} |
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{} |
|
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|
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/// Destructor. |
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~Suurballe() { |
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if (_local_flow) delete _flow; |
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if (_local_potential) delete _potential; |
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delete _dijkstra; |
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} |
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|
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/// \brief Set the flow map. |
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/// |
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/// This function sets the flow map. |
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/// If it is not used before calling \ref run() or \ref init(), |
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/// an instance will be allocated automatically. The destructor |
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/// deallocates this automatically allocated map, of course. |
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/// |
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/// The found flow contains only 0 and 1 values, since it is the |
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/// union of the found arc-disjoint paths. |
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/// |
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/// \return <tt>(*this)</tt> |
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Suurballe& flowMap(FlowMap &map) { |
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if (_local_flow) { |
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delete _flow; |
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_local_flow = false; |
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} |
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