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@@ -58,66 +58,66 @@ |
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typedef BinHeap<Cost, RangeMap<int> > Heap; |
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}; |
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|
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/// \addtogroup min_cost_flow_algs |
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/// @{ |
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|
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/// \brief Implementation of the Capacity Scaling algorithm for |
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/// finding a \ref min_cost_flow "minimum cost flow". |
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/// |
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/// \ref CapacityScaling implements the capacity scaling version |
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/// of the successive shortest path algorithm for finding a |
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/// \ref min_cost_flow "minimum cost flow" \ref amo93networkflows, |
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/// \ref edmondskarp72theoretical. It is an efficient dual |
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/// solution method. |
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/// |
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/// Most of the parameters of the problem (except for the digraph) |
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/// can be given using separate functions, and the algorithm can be |
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/// executed using the \ref run() function. If some parameters are not |
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/// specified, then default values will be used. |
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/// |
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/// \tparam GR The digraph type the algorithm runs on. |
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/// \tparam V The number type used for flow amounts, capacity bounds |
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/// and supply values in the algorithm. By default, it is \c int. |
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/// \tparam C The number type used for costs and potentials in the |
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/// algorithm. By default, it is the same as \c V. |
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/// \tparam TR The traits class that defines various types used by the |
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/// algorithm. By default, it is \ref CapacityScalingDefaultTraits |
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/// "CapacityScalingDefaultTraits<GR, V, C>". |
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/// In most cases, this parameter should not be set directly, |
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/// consider to use the named template parameters instead. |
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/// |
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/// \warning Both \c V and \c C must be signed number types. |
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/// \warning All input data (capacities, supply values, and costs) must |
|
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/// be integer. |
|
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/// \warning Capacity bounds and supply values must be integer, but |
|
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/// arc costs can be arbitrary real numbers. |
|
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/// \warning This algorithm does not support negative costs for |
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/// arcs having infinite upper bound. |
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#ifdef DOXYGEN |
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template <typename GR, typename V, typename C, typename TR> |
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#else |
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template < typename GR, typename V = int, typename C = V, |
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typename TR = CapacityScalingDefaultTraits<GR, V, C> > |
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#endif |
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class CapacityScaling |
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{ |
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public: |
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|
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/// The type of the digraph |
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typedef typename TR::Digraph Digraph; |
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/// The type of the flow amounts, capacity bounds and supply values |
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typedef typename TR::Value Value; |
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/// The type of the arc costs |
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typedef typename TR::Cost Cost; |
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|
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/// The type of the heap used for internal Dijkstra computations |
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typedef typename TR::Heap Heap; |
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|
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/// The \ref CapacityScalingDefaultTraits "traits class" of the algorithm |
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typedef TR Traits; |
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|
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public: |
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|
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/// \brief Problem type constants for the \c run() function. |
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/// |
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/// Enum type containing the problem type constants that can be |
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/// returned by the \ref run() function of the algorithm. |
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enum ProblemType { |
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