/* -*- C++ -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library

 *

 * Copyright (C) 2003-2007

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_MIN_COST_FLOW_H

#define LEMON_MIN_COST_FLOW_H

/// \ingroup min_cost_flow

///

/// \file

/// \brief An efficient algorithm for finding a minimum cost flow.

#include <lemon/network_simplex.h>

namespace lemon {

  /// \addtogroup min_cost_flow

  /// @{

  /// \brief An efficient algorithm for finding a minimum cost flow.

  ///

  /// \ref lemon::MinCostFlow "MinCostFlow" implements an efficient

  /// algorithm for finding a minimum cost flow.

  ///

  /// \note \ref lemon::MinCostFlow "MinCostFlow" is just an alias for

  /// \ref lemon::NetworkSimplex "NetworkSimplex", wich is the most

  /// efficient implementation for the minimum cost flow problem in the

  /// LEMON library according to our benchmark tests.

  ///

  /// \note There are three implementations for the minimum cost flow

  /// problem, that can be used in the same way.

  /// - \ref lemon::CapacityScaling "CapacityScaling"

  /// - \ref lemon::CycleCanceling "CycleCanceling"

  /// - \ref lemon::NetworkSimplex "NetworkSimplex"

  ///

  /// \param Graph The directed graph type the algorithm runs on.

  /// \param LowerMap The type of the lower bound map.

  /// \param CapacityMap The type of the capacity (upper bound) map.

  /// \param CostMap The type of the cost (length) map.

  /// \param SupplyMap The type of the supply map.

  ///

  /// \warning

  /// - Edge capacities and costs should be nonnegative integers.

  ///	However \c CostMap::Value should be signed type.

  /// - Supply values should be integers.

  /// - \c LowerMap::Value must be convertible to

  ///	\c CapacityMap::Value and \c CapacityMap::Value must be

  ///	convertible to \c SupplyMap::Value.

  ///

  /// \author Peter Kovacs

template < typename Graph,

	   typename LowerMap = typename Graph::template EdgeMap<int>,

	   typename CapacityMap = LowerMap,

	   typename CostMap = typename Graph::template EdgeMap<int>,

	   typename SupplyMap = typename Graph::template NodeMap

				<typename CapacityMap::Value> >

  class MinCostFlow :

    public NetworkSimplex< Graph,

			   LowerMap,

			   CapacityMap,

			   CostMap,

			   SupplyMap >

  {

    typedef NetworkSimplex< Graph, LowerMap, CapacityMap,

			    CostMap, SupplyMap >

      MinCostFlowImpl;

    typedef typename Graph::Node Node;

    typedef typename SupplyMap::Value Supply;

  public:

    /// \brief General constructor of the class (with lower bounds).

    MinCostFlow( const Graph &_graph,

		 const LowerMap &_lower,

		 const CapacityMap &_capacity,

		 const CostMap &_cost,

		 const SupplyMap &_supply ) :

      MinCostFlowImpl(_graph, _lower, _capacity, _cost, _supply) {}

    /// \brief General constructor of the class (without lower bounds).

    MinCostFlow( const Graph &_graph,

		 const CapacityMap &_capacity,

		 const CostMap &_cost,

		 const SupplyMap &_supply ) :

      MinCostFlowImpl(_graph, _capacity, _cost, _supply) {}

    /// \brief Simple constructor of the class (with lower bounds).

    MinCostFlow( const Graph &_graph,

		 const LowerMap &_lower,

		 const CapacityMap &_capacity,

		 const CostMap &_cost,

		 Node _s, Node _t,

		 Supply _flow_value ) :

      MinCostFlowImpl( _graph, _lower, _capacity, _cost,

		       _s, _t, _flow_value ) {}

    /// \brief Simple constructor of the class (without lower bounds).

    MinCostFlow( const Graph &_graph,

		 const CapacityMap &_capacity,

		 const CostMap &_cost,

		 Node _s, Node _t,

		 Supply _flow_value ) :

      MinCostFlowImpl( _graph, _capacity, _cost,

		       _s, _t, _flow_value ) {}

  }; //class MinCostFlow

  ///@}

} //namespace lemon

#endif //LEMON_MIN_COST_FLOW_H