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* Permission to use, modify and distribute this software is granted |
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* provided that this copyright notice appears in all copies. For |
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* precise terms see the accompanying LICENSE file. |
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* |
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* This software is provided "AS IS" with no warranty of any kind, |
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* express or implied, and with no claim as to its suitability for any |
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* purpose. |
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* |
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*/ |
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|
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#ifndef LEMON_DIJKSTRA_H |
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#define LEMON_DIJKSTRA_H |
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|
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///\ingroup shortest_path |
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///\file |
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///\brief Dijkstra algorithm. |
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|
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#include <limits> |
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#include <lemon/list_graph.h> |
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#include <lemon/bin_heap.h> |
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#include <lemon/bits/path_dump.h> |
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#include <lemon/core.h> |
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#include <lemon/error.h> |
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#include <lemon/maps.h> |
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#include <lemon/path.h> |
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|
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namespace lemon { |
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|
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/// \brief Default operation traits for the Dijkstra algorithm class. |
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/// |
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/// This operation traits class defines all computational operations and |
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/// constants which are used in the Dijkstra algorithm. |
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template <typename Value> |
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struct DijkstraDefaultOperationTraits { |
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/// \brief Gives back the zero value of the type. |
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static Value zero() { |
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return static_cast<Value>(0); |
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} |
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/// \brief Gives back the sum of the given two elements. |
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static Value plus(const Value& left, const Value& right) { |
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return left + right; |
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} |
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/// \brief Gives back true only if the first value is less than the second. |
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static bool less(const Value& left, const Value& right) { |
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return left < right; |
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} |
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}; |
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|
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/// \brief Widest path operation traits for the Dijkstra algorithm class. |
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/// |
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/// This operation traits class defines all computational operations and |
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/// constants which are used in the Dijkstra algorithm for widest path |
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/// computation. |
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/// |
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/// \see DijkstraDefaultOperationTraits |
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template <typename Value> |
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struct DijkstraWidestPathOperationTraits { |
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/// \brief Gives back the maximum value of the type. |
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static Value zero() { |
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return std::numeric_limits<Value>::max(); |
|
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} |
|
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/// \brief Gives back the minimum of the given two elements. |
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static Value plus(const Value& left, const Value& right) { |
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return std::min(left, right); |
|
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} |
|
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/// \brief Gives back true only if the first value is less than the second. |
|
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static bool less(const Value& left, const Value& right) { |
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return left < right; |
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} |
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}; |
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|
|
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///Default traits class of Dijkstra class. |
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|
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///Default traits class of Dijkstra class. |
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///\tparam GR The type of the digraph. |
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///\tparam LM The type of the length map. |
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template<class GR, class LM> |
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struct DijkstraDefaultTraits |
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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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|
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///The type of the map that stores the arc lengths. |
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|
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///The type of the map that stores the arc lengths. |
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///It must meet the \ref concepts::ReadMap "ReadMap" concept. |
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typedef LM LengthMap; |
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///The type of the length of the arcs. |
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typedef typename LM::Value Value; |
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|
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/// Operation traits for Dijkstra algorithm. |
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|
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/// This class defines the operations that are used in the algorithm. |
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/// \see DijkstraDefaultOperationTraits |
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typedef DijkstraDefaultOperationTraits<Value> OperationTraits; |
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|
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/// The cross reference type used by the heap. |
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|
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/// The cross reference type used by the heap. |
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/// Usually it is \c Digraph::NodeMap<int>. |
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typedef typename Digraph::template NodeMap<int> HeapCrossRef; |
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///Instantiates a \ref HeapCrossRef. |
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|
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///This function instantiates a \ref HeapCrossRef. |
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/// \param g is the digraph, to which we would like to define the |
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/// \ref HeapCrossRef. |
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static HeapCrossRef *createHeapCrossRef(const Digraph &g) |
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{ |
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return new HeapCrossRef(g); |
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} |
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|
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///The heap type used by the Dijkstra algorithm. |
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|
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///The heap type used by the Dijkstra algorithm. |
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/// |
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///\sa BinHeap |
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///\sa Dijkstra |
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typedef BinHeap<typename LM::Value, HeapCrossRef, std::less<Value> > Heap; |
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///Instantiates a \ref Heap. |
... | ... |
@@ -44,97 +44,97 @@ |
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"2 3 2 1\n" |
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"0 3 4 5\n" |
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"0 3 5 10\n" |
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"0 3 6 7\n" |
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"4 2 7 1\n" |
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"@attributes\n" |
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"source 0\n" |
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"target 3\n"; |
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|
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void checkDijkstraCompile() |
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{ |
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typedef int VType; |
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typedef concepts::Digraph Digraph; |
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typedef concepts::ReadMap<Digraph::Arc,VType> LengthMap; |
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typedef Dijkstra<Digraph, LengthMap> DType; |
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typedef Digraph::Node Node; |
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typedef Digraph::Arc Arc; |
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|
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Digraph G; |
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Node s, t; |
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Arc e; |
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VType l; |
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bool b; |
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DType::DistMap d(G); |
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DType::PredMap p(G); |
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LengthMap length; |
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Path<Digraph> pp; |
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|
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{ |
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DType dijkstra_test(G,length); |
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|
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dijkstra_test.run(s); |
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dijkstra_test.run(s,t); |
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|
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l = dijkstra_test.dist(t); |
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e = dijkstra_test.predArc(t); |
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s = dijkstra_test.predNode(t); |
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b = dijkstra_test.reached(t); |
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d = dijkstra_test.distMap(); |
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p = dijkstra_test.predMap(); |
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pp = dijkstra_test.path(t); |
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} |
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{ |
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DType |
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::SetPredMap<concepts::ReadWriteMap<Node,Arc> > |
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::SetDistMap<concepts::ReadWriteMap<Node,VType> > |
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::SetProcessedMap<concepts::WriteMap<Node,bool> > |
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::SetStandardProcessedMap |
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::SetOperationTraits< |
|
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::SetOperationTraits<DijkstraDefaultOperationTraits<VType> > |
|
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::SetHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> > > |
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::SetStandardHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> > > |
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::Create dijkstra_test(G,length); |
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|
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dijkstra_test.run(s); |
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dijkstra_test.run(s,t); |
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|
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l = dijkstra_test.dist(t); |
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e = dijkstra_test.predArc(t); |
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s = dijkstra_test.predNode(t); |
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b = dijkstra_test.reached(t); |
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pp = dijkstra_test.path(t); |
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} |
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|
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} |
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|
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void checkDijkstraFunctionCompile() |
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{ |
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typedef int VType; |
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typedef concepts::Digraph Digraph; |
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typedef Digraph::Arc Arc; |
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typedef Digraph::Node Node; |
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typedef concepts::ReadMap<Digraph::Arc,VType> LengthMap; |
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|
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Digraph g; |
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bool b; |
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dijkstra(g,LengthMap()).run(Node()); |
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b=dijkstra(g,LengthMap()).run(Node(),Node()); |
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dijkstra(g,LengthMap()) |
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.predMap(concepts::ReadWriteMap<Node,Arc>()) |
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.distMap(concepts::ReadWriteMap<Node,VType>()) |
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.processedMap(concepts::WriteMap<Node,bool>()) |
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.run(Node()); |
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b=dijkstra(g,LengthMap()) |
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.predMap(concepts::ReadWriteMap<Node,Arc>()) |
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.distMap(concepts::ReadWriteMap<Node,VType>()) |
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.processedMap(concepts::WriteMap<Node,bool>()) |
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.path(concepts::Path<Digraph>()) |
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.dist(VType()) |
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.run(Node(),Node()); |
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} |
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|
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template <class Digraph> |
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void checkDijkstra() { |
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TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
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typedef typename Digraph::template ArcMap<int> LengthMap; |
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|
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Digraph G; |
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