marci@762: // -*- C++ -*-
marci@762: #ifndef HUGO_AUGMENTING_FLOW_H
marci@762: #define HUGO_AUGMENTING_FLOW_H
marci@762: 
marci@762: #include <vector>
marci@762: #include <queue>
marci@762: #include <stack>
marci@762: #include <iostream>
marci@762: 
marci@762: #include <hugo/graph_wrapper.h>
marci@762: #include <bfs_dfs.h>
marci@762: #include <hugo/invalid.h>
marci@762: #include <hugo/maps.h>
marci@777: //#include <for_each_macros.h>
marci@762: 
marci@762: /// \file
marci@762: /// \brief Maximum flow algorithms.
marci@762: /// \ingroup galgs
marci@762: 
marci@762: namespace hugo {
marci@762: 
marci@762:   /// \addtogroup galgs
marci@762:   /// @{                                                                                                                                        
marci@762:   ///Maximum flow algorithms class.
marci@762: 
marci@762:   ///This class provides various algorithms for finding a flow of
marci@762:   ///maximum value in a directed graph. The \e source node, the \e
marci@762:   ///target node, the \e capacity of the edges and the \e starting \e
marci@762:   ///flow value of the edges should be passed to the algorithm through the
marci@762:   ///constructor. It is possible to change these quantities using the
marci@762:   ///functions \ref resetSource, \ref resetTarget, \ref resetCap and
marci@762:   ///\ref resetFlow. Before any subsequent runs of any algorithm of
marci@762:   ///the class \ref resetFlow should be called. 
marci@762: 
marci@762:   ///After running an algorithm of the class, the actual flow value 
marci@762:   ///can be obtained by calling \ref flowValue(). The minimum
marci@762:   ///value cut can be written into a \c node map of \c bools by
marci@762:   ///calling \ref minCut. (\ref minMinCut and \ref maxMinCut writes
marci@762:   ///the inclusionwise minimum and maximum of the minimum value
marci@762:   ///cuts, resp.)                                                                                                                               
marci@762:   ///\param Graph The directed graph type the algorithm runs on.
marci@762:   ///\param Num The number type of the capacities and the flow values.
marci@762:   ///\param CapMap The capacity map type.
marci@762:   ///\param FlowMap The flow map type.                                                                                                           
marci@762:   ///\author Marton Makai, Jacint Szabo 
marci@762: //   template <typename Graph, typename Num,
marci@762: // 	    typename CapMap=typename Graph::template EdgeMap<Num>,
marci@762: //             typename FlowMap=typename Graph::template EdgeMap<Num> >
marci@762: //   class MaxFlow {
marci@762: //   protected:
marci@762: //     typedef typename Graph::Node Node;
marci@762: //     typedef typename Graph::NodeIt NodeIt;
marci@762: //     typedef typename Graph::EdgeIt EdgeIt;
marci@762: //     typedef typename Graph::OutEdgeIt OutEdgeIt;
marci@762: //     typedef typename Graph::InEdgeIt InEdgeIt;
marci@762: 
marci@762: //     typedef typename std::vector<std::stack<Node> > VecStack;
marci@762: //     typedef typename Graph::template NodeMap<Node> NNMap;
marci@762: //     typedef typename std::vector<Node> VecNode;
marci@762: 
marci@762: //     const Graph* g;
marci@762: //     Node s;
marci@762: //     Node t;
marci@762: //     const CapMap* capacity;
marci@762: //     FlowMap* flow;
marci@762: //     int n;      //the number of nodes of G
marci@762: //     typedef ResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;   
marci@762: //     //typedef ExpResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;
marci@762: //     typedef typename ResGW::OutEdgeIt ResGWOutEdgeIt;
marci@762: //     typedef typename ResGW::Edge ResGWEdge;
marci@762: //     //typedef typename ResGW::template NodeMap<bool> ReachedMap;
marci@762: //     typedef typename Graph::template NodeMap<int> ReachedMap;
marci@762: 
marci@762: 
marci@762: //     //level works as a bool map in augmenting path algorithms and is
marci@762: //     //used by bfs for storing reached information.  In preflow, it
marci@762: //     //shows the levels of nodes.     
marci@762: //     ReachedMap level;
marci@762: 
marci@762: //     //excess is needed only in preflow
marci@762: //     typename Graph::template NodeMap<Num> excess;
marci@762: 
marci@762: //     //fixme    
marci@762: // //   protected:
marci@762: //     //     MaxFlow() { }
marci@762: //     //     void set(const Graph& _G, Node _s, Node _t, const CapMap& _capacity,
marci@762: //     // 	     FlowMap& _flow)
marci@762: //     //       {
marci@762: //     // 	g=&_G;
marci@762: //     // 	s=_s;
marci@762: //     // 	t=_t;
marci@762: //     // 	capacity=&_capacity;
marci@762: //     // 	flow=&_flow;
marci@762: //     // 	n=_G.nodeNum;
marci@762: //     // 	level.set (_G); //kellene vmi ilyesmi fv
marci@762: //     // 	excess(_G,0); //itt is
marci@762: //     //       }
marci@762: 
marci@762: //     // constants used for heuristics
marci@762: //     static const int H0=20;
marci@762: //     static const int H1=1;
marci@762: 
marci@762: //   public:
marci@762: 
marci@762: //     ///Indicates the property of the starting flow.
marci@762: 
marci@762: //     ///Indicates the property of the starting flow. The meanings are as follows:
marci@762: //     ///- \c ZERO_FLOW: constant zero flow
marci@762: //     ///- \c GEN_FLOW: any flow, i.e. the sum of the in-flows equals to
marci@762: //     ///the sum of the out-flows in every node except the \e source and
marci@762: //     ///the \e target.
marci@762: //     ///- \c PRE_FLOW: any preflow, i.e. the sum of the in-flows is at 
marci@762: //     ///least the sum of the out-flows in every node except the \e source.
marci@762: //     ///- \c NO_FLOW: indicates an unspecified edge map. \ref flow will be 
marci@762: //     ///set to the constant zero flow in the beginning of the algorithm in this case.
marci@762: //     enum FlowEnum{
marci@762: //       ZERO_FLOW,
marci@762: //       GEN_FLOW,
marci@762: //       PRE_FLOW,
marci@762: //       NO_FLOW
marci@762: //     };
marci@762: 
marci@762: //     enum StatusEnum {
marci@762: //       AFTER_NOTHING,
marci@762: //       AFTER_AUGMENTING,
marci@762: //       AFTER_FAST_AUGMENTING, 
marci@762: //       AFTER_PRE_FLOW_PHASE_1,      
marci@762: //       AFTER_PRE_FLOW_PHASE_2
marci@762: //     };
marci@762: 
marci@762: //     /// Don not needle this flag only if necessary.
marci@762: //     StatusEnum status;
marci@762: // //     int number_of_augmentations;
marci@762: 
marci@762: 
marci@762: // //     template<typename IntMap>
marci@762: // //     class TrickyReachedMap {
marci@762: // //     protected:
marci@762: // //       IntMap* map;
marci@762: // //       int* number_of_augmentations;
marci@762: // //     public:
marci@762: // //       TrickyReachedMap(IntMap& _map, int& _number_of_augmentations) : 
marci@762: // // 	map(&_map), number_of_augmentations(&_number_of_augmentations) { }
marci@762: // //       void set(const Node& n, bool b) {
marci@762: // // 	if (b)
marci@762: // // 	  map->set(n, *number_of_augmentations);
marci@762: // // 	else 
marci@762: // // 	  map->set(n, *number_of_augmentations-1);
marci@762: // //       }
marci@762: // //       bool operator[](const Node& n) const { 
marci@762: // // 	return (*map)[n]==*number_of_augmentations; 
marci@762: // //       }
marci@762: // //     };
marci@762:     
marci@762: //     MaxFlow(const Graph& _G, Node _s, Node _t, const CapMap& _capacity,
marci@762: // 	    FlowMap& _flow) :
marci@762: //       g(&_G), s(_s), t(_t), capacity(&_capacity),
marci@762: //       flow(&_flow), n(_G.nodeNum()), level(_G), excess(_G,0), 
marci@762: //       status(AFTER_NOTHING) { }
marci@762: 
marci@762: //     ///Runs a maximum flow algorithm.
marci@762: 
marci@762: //     ///Runs a preflow algorithm, which is the fastest maximum flow
marci@762: //     ///algorithm up-to-date. The default for \c fe is ZERO_FLOW.
marci@762: //     ///\pre The starting flow must be
marci@762: //     /// - a constant zero flow if \c fe is \c ZERO_FLOW,
marci@762: //     /// - an arbitary flow if \c fe is \c GEN_FLOW,
marci@762: //     /// - an arbitary preflow if \c fe is \c PRE_FLOW,
marci@762: //     /// - any map if \c fe is NO_FLOW.
marci@762: //     void run(FlowEnum fe=ZERO_FLOW) {
marci@762: //       preflow(fe);
marci@762: //     }
marci@762: 
marci@762:                                                                               
marci@762: //     ///Runs a preflow algorithm.  
marci@762: 
marci@762: //     ///Runs a preflow algorithm. The preflow algorithms provide the
marci@762: //     ///fastest way to compute a maximum flow in a directed graph.
marci@762: //     ///\pre The starting flow must be
marci@762: //     /// - a constant zero flow if \c fe is \c ZERO_FLOW,
marci@762: //     /// - an arbitary flow if \c fe is \c GEN_FLOW,
marci@762: //     /// - an arbitary preflow if \c fe is \c PRE_FLOW,
marci@762: //     /// - any map if \c fe is NO_FLOW.
marci@762: //     void preflow(FlowEnum fe) {
marci@762: //       preflowPhase1(fe);
marci@762: //       preflowPhase2();
marci@762: //     }
marci@762: //     // Heuristics:
marci@762: //     //   2 phase
marci@762: //     //   gap
marci@762: //     //   list 'level_list' on the nodes on level i implemented by hand
marci@762: //     //   stack 'active' on the active nodes on level i                                                                                    
marci@762: //     //   runs heuristic 'highest label' for H1*n relabels
marci@762: //     //   runs heuristic 'bound decrease' for H0*n relabels, starts with 'highest label'
marci@762: //     //   Parameters H0 and H1 are initialized to 20 and 1.
marci@762: 
marci@762: //     ///Runs the first phase of the preflow algorithm.
marci@762: 
marci@762: //     ///The preflow algorithm consists of two phases, this method runs the
marci@762: //     ///first phase. After the first phase the maximum flow value and a
marci@762: //     ///minimum value cut can already be computed, though a maximum flow
marci@762: //     ///is net yet obtained. So after calling this method \ref flowValue
marci@762: //     ///and \ref actMinCut gives proper results.
marci@762: //     ///\warning: \ref minCut, \ref minMinCut and \ref maxMinCut do not
marci@762: //     ///give minimum value cuts unless calling \ref preflowPhase2.
marci@762: //     ///\pre The starting flow must be
marci@762: //     /// - a constant zero flow if \c fe is \c ZERO_FLOW,
marci@762: //     /// - an arbitary flow if \c fe is \c GEN_FLOW,
marci@762: //     /// - an arbitary preflow if \c fe is \c PRE_FLOW,
marci@762: //     /// - any map if \c fe is NO_FLOW.
marci@762: //     void preflowPhase1(FlowEnum fe);
marci@762: 
marci@762: //     ///Runs the second phase of the preflow algorithm.
marci@762: 
marci@762: //     ///The preflow algorithm consists of two phases, this method runs
marci@762: //     ///the second phase. After calling \ref preflowPhase1 and then
marci@762: //     ///\ref preflowPhase2 the methods \ref flowValue, \ref minCut,
marci@762: //     ///\ref minMinCut and \ref maxMinCut give proper results.
marci@762: //     ///\pre \ref preflowPhase1 must be called before.
marci@762: //     void preflowPhase2();
marci@762: 
marci@762: //     /// Returns the maximum value of a flow.
marci@762: 
marci@762: //     /// Returns the maximum value of a flow, by counting the 
marci@762: //     /// over-flow of the target node \ref t.
marci@762: //     /// It can be called already after running \ref preflowPhase1.
marci@762: //     Num flowValue() const {
marci@762: //       Num a=0;
marci@762: //       FOR_EACH_INC_LOC(InEdgeIt, e, *g, t) a+=(*flow)[e];
marci@762: //       FOR_EACH_INC_LOC(OutEdgeIt, e, *g, t) a-=(*flow)[e];
marci@762: //       return a;
marci@762: //       //marci figyu: excess[t] epp ezt adja preflow 1. fazisa utan   
marci@762: //     }
marci@762: 
marci@762: //     ///Returns a minimum value cut after calling \ref preflowPhase1.
marci@762: 
marci@762: //     ///After the first phase of the preflow algorithm the maximum flow
marci@762: //     ///value and a minimum value cut can already be computed. This
marci@762: //     ///method can be called after running \ref preflowPhase1 for
marci@762: //     ///obtaining a minimum value cut.
marci@762: //     /// \warning Gives proper result only right after calling \ref
marci@762: //     /// preflowPhase1.
marci@762: //     /// \todo We have to make some status variable which shows the
marci@762: //     /// actual state
marci@762: //     /// of the class. This enables us to determine which methods are valid
marci@762: //     /// for MinCut computation
marci@762: //     template<typename _CutMap>
marci@762: //     void actMinCut(_CutMap& M) const {
marci@762: //       NodeIt v;
marci@762: //       switch (status) {
marci@762: //       case AFTER_PRE_FLOW_PHASE_1:
marci@762: // 	for(g->first(v); g->valid(v); g->next(v)) {
marci@762: // 	  if (level[v] < n) {
marci@762: // 	    M.set(v, false);
marci@762: // 	  } else {
marci@762: // 	    M.set(v, true);
marci@762: // 	  }
marci@762: // 	}
marci@762: // 	break;
marci@762: //       case AFTER_PRE_FLOW_PHASE_2:
marci@762: //       case AFTER_NOTHING:
marci@762: //       case AFTER_AUGMENTING:
marci@762: //       case AFTER_FAST_AUGMENTING:
marci@762: // 	minMinCut(M);
marci@762: // 	break;
marci@762: // //       case AFTER_AUGMENTING:
marci@762: // // 	for(g->first(v); g->valid(v); g->next(v)) {
marci@762: // // 	  if (level[v]) {
marci@762: // // 	    M.set(v, true);
marci@762: // // 	  } else {
marci@762: // // 	    M.set(v, false);
marci@762: // // 	  }
marci@762: // // 	}
marci@762: // // 	break;
marci@762: // //       case AFTER_FAST_AUGMENTING:
marci@762: // // 	for(g->first(v); g->valid(v); g->next(v)) {
marci@762: // // 	  if (level[v]==number_of_augmentations) {
marci@762: // // 	    M.set(v, true);
marci@762: // // 	  } else {
marci@762: // // 	    M.set(v, false);
marci@762: // // 	  }
marci@762: // // 	}
marci@762: // // 	break;
marci@762: //       }
marci@762: //     }
marci@762: 
marci@762: //     ///Returns the inclusionwise minimum of the minimum value cuts.
marci@762: 
marci@762: //     ///Sets \c M to the characteristic vector of the minimum value cut
marci@762: //     ///which is inclusionwise minimum. It is computed by processing
marci@762: //     ///a bfs from the source node \c s in the residual graph.
marci@762: //     ///\pre M should be a node map of bools initialized to false.
marci@762: //     ///\pre \c flow must be a maximum flow.
marci@762: //     template<typename _CutMap>
marci@762: //     void minMinCut(_CutMap& M) const {
marci@762: //       std::queue<Node> queue;
marci@762: 
marci@762: //       M.set(s,true);
marci@762: //       queue.push(s);
marci@762: 
marci@762: //       while (!queue.empty()) {
marci@762: //         Node w=queue.front();
marci@762: // 	queue.pop();
marci@762: 
marci@762: // 	OutEdgeIt e;
marci@762: // 	for(g->first(e,w) ; g->valid(e); g->next(e)) {
marci@762: // 	  Node v=g->head(e);
marci@762: // 	  if (!M[v] && (*flow)[e] < (*capacity)[e] ) {
marci@762: // 	    queue.push(v);
marci@762: // 	    M.set(v, true);
marci@762: // 	  }
marci@762: // 	}
marci@762: 
marci@762: // 	InEdgeIt f;
marci@762: // 	for(g->first(f,w) ; g->valid(f); g->next(f)) {
marci@762: // 	  Node v=g->tail(f);
marci@762: // 	  if (!M[v] && (*flow)[f] > 0 ) {
marci@762: // 	    queue.push(v);
marci@762: // 	    M.set(v, true);
marci@762: // 	  }
marci@762: // 	}
marci@762: //       }
marci@762: //     }
marci@762: 
marci@762: //     ///Returns the inclusionwise maximum of the minimum value cuts.
marci@762: 
marci@762: //     ///Sets \c M to the characteristic vector of the minimum value cut
marci@762: //     ///which is inclusionwise maximum. It is computed by processing a
marci@762: //     ///backward bfs from the target node \c t in the residual graph.
marci@762: //     ///\pre M should be a node map of bools initialized to false.
marci@762: //     ///\pre \c flow must be a maximum flow. 
marci@762: //     template<typename _CutMap>
marci@762: //     void maxMinCut(_CutMap& M) const {
marci@762: 
marci@762: //       NodeIt v;
marci@762: //       for(g->first(v) ; g->valid(v); g->next(v)) {
marci@762: // 	M.set(v, true);
marci@762: //       }
marci@762: 
marci@762: //       std::queue<Node> queue;
marci@762: 
marci@762: //       M.set(t,false);
marci@762: //       queue.push(t);
marci@762: 
marci@762: //       while (!queue.empty()) {
marci@762: //         Node w=queue.front();
marci@762: // 	queue.pop();
marci@762: 
marci@762: // 	InEdgeIt e;
marci@762: // 	for(g->first(e,w) ; g->valid(e); g->next(e)) {
marci@762: // 	  Node v=g->tail(e);
marci@762: // 	  if (M[v] && (*flow)[e] < (*capacity)[e] ) {
marci@762: // 	    queue.push(v);
marci@762: // 	    M.set(v, false);
marci@762: // 	  }
marci@762: // 	}
marci@762: 
marci@762: // 	OutEdgeIt f;
marci@762: // 	for(g->first(f,w) ; g->valid(f); g->next(f)) {
marci@762: // 	  Node v=g->head(f);
marci@762: // 	  if (M[v] && (*flow)[f] > 0 ) {
marci@762: // 	    queue.push(v);
marci@762: // 	    M.set(v, false);
marci@762: // 	  }
marci@762: // 	}
marci@762: //       }
marci@762: //     }
marci@762: 
marci@762: //     ///Returns a minimum value cut.
marci@762: 
marci@762: //     ///Sets \c M to the characteristic vector of a minimum value cut.
marci@762: //     ///\pre M should be a node map of bools initialized to false.
marci@762: //     ///\pre \c flow must be a maximum flow.    
marci@762: //     template<typename CutMap>
marci@762: //     void minCut(CutMap& M) const { minMinCut(M); }
marci@762: 
marci@762: //     ///Resets the source node to \c _s.
marci@762: 
marci@762: //     ///Resets the source node to \c _s.
marci@762: //     /// 
marci@762: //     void resetSource(Node _s) { s=_s; status=AFTER_NOTHING; }
marci@762: 
marci@762: //     ///Resets the target node to \c _t.
marci@762: 
marci@762: //     ///Resets the target node to \c _t.
marci@762: //     ///
marci@762: //     void resetTarget(Node _t) { t=_t; status=AFTER_NOTHING; }
marci@762: 
marci@762: //     /// Resets the edge map of the capacities to _cap.
marci@762: 
marci@762: //     /// Resets the edge map of the capacities to _cap.
marci@762: //     /// 
marci@762: //     void resetCap(const CapMap& _cap) { capacity=&_cap; status=AFTER_NOTHING; }
marci@762: 
marci@762: //     /// Resets the edge map of the flows to _flow.
marci@762: 
marci@762: //     /// Resets the edge map of the flows to _flow.
marci@762: //     /// 
marci@762: //     void resetFlow(FlowMap& _flow) { flow=&_flow; status=AFTER_NOTHING; }
marci@762: 
marci@762: 
marci@762: //   private:
marci@762: 
marci@762: //     int push(Node w, VecStack& active) {
marci@762: 
marci@762: //       int lev=level[w];
marci@762: //       Num exc=excess[w];
marci@762: //       int newlevel=n;       //bound on the next level of w
marci@762: 
marci@762: //       OutEdgeIt e;
marci@762: //       for(g->first(e,w); g->valid(e); g->next(e)) {
marci@762: 
marci@762: // 	if ( (*flow)[e] >= (*capacity)[e] ) continue;
marci@762: // 	Node v=g->head(e);
marci@762: 
marci@762: // 	if( lev > level[v] ) { //Push is allowed now
marci@762: 
marci@762: // 	  if ( excess[v]<=0 && v!=t && v!=s ) {
marci@762: // 	    int lev_v=level[v];
marci@762: // 	    active[lev_v].push(v);
marci@762: // 	  }
marci@762: 
marci@762: // 	  Num cap=(*capacity)[e];
marci@762: // 	  Num flo=(*flow)[e];
marci@762: // 	  Num remcap=cap-flo;
marci@762: 
marci@762: // 	  if ( remcap >= exc ) { //A nonsaturating push.
marci@762: 
marci@762: // 	    flow->set(e, flo+exc);
marci@762: // 	    excess.set(v, excess[v]+exc);
marci@762: // 	    exc=0;
marci@762: // 	    break;
marci@762: 
marci@762: // 	  } else { //A saturating push.
marci@762: // 	    flow->set(e, cap);
marci@762: // 	    excess.set(v, excess[v]+remcap);
marci@762: // 	    exc-=remcap;
marci@762: // 	  }
marci@762: // 	} else if ( newlevel > level[v] ) newlevel = level[v];
marci@762: //       } //for out edges wv
marci@762: 
marci@762: //       if ( exc > 0 ) {
marci@762: // 	InEdgeIt e;
marci@762: // 	for(g->first(e,w); g->valid(e); g->next(e)) {
marci@762: 
marci@762: // 	  if( (*flow)[e] <= 0 ) continue;
marci@762: // 	  Node v=g->tail(e);
marci@762: 
marci@762: // 	  if( lev > level[v] ) { //Push is allowed now
marci@762: 
marci@762: // 	    if ( excess[v]<=0 && v!=t && v!=s ) {
marci@762: // 	      int lev_v=level[v];
marci@762: // 	      active[lev_v].push(v);
marci@762: // 	    }
marci@762: 
marci@762: // 	    Num flo=(*flow)[e];
marci@762: 
marci@762: // 	    if ( flo >= exc ) { //A nonsaturating push.
marci@762: 
marci@762: // 	      flow->set(e, flo-exc);
marci@762: // 	      excess.set(v, excess[v]+exc);
marci@762: // 	      exc=0;
marci@762: // 	      break;
marci@762: // 	    } else {  //A saturating push.
marci@762: 
marci@762: // 	      excess.set(v, excess[v]+flo);
marci@762: // 	      exc-=flo;
marci@762: // 	      flow->set(e,0);
marci@762: // 	    }
marci@762: // 	  } else if ( newlevel > level[v] ) newlevel = level[v];
marci@762: // 	} //for in edges vw
marci@762: 
marci@762: //       } // if w still has excess after the out edge for cycle
marci@762: 
marci@762: //       excess.set(w, exc);
marci@762: 
marci@762: //       return newlevel;
marci@762: //     }
marci@762: 
marci@762: 
marci@762: //     void preflowPreproc(FlowEnum fe, VecStack& active,
marci@762: // 			VecNode& level_list, NNMap& left, NNMap& right)
marci@762: //     {
marci@762: //       std::queue<Node> bfs_queue;
marci@762: 
marci@762: //       switch (fe) {
marci@762: //       case NO_FLOW:   //flow is already set to const zero in this case
marci@762: //       case ZERO_FLOW:
marci@762: // 	{
marci@762: // 	  //Reverse_bfs from t, to find the starting level.
marci@762: // 	  level.set(t,0);
marci@762: // 	  bfs_queue.push(t);
marci@762: 
marci@762: // 	  while (!bfs_queue.empty()) {
marci@762: 
marci@762: // 	    Node v=bfs_queue.front();
marci@762: // 	    bfs_queue.pop();
marci@762: // 	    int l=level[v]+1;
marci@762: 
marci@762: // 	    InEdgeIt e;
marci@762: // 	    for(g->first(e,v); g->valid(e); g->next(e)) {
marci@762: // 	      Node w=g->tail(e);
marci@762: // 	      if ( level[w] == n && w != s ) {
marci@762: // 		bfs_queue.push(w);
marci@762: // 		Node first=level_list[l];
marci@762: // 		if ( g->valid(first) ) left.set(first,w);
marci@762: // 		right.set(w,first);
marci@762: // 		level_list[l]=w;
marci@762: // 		level.set(w, l);
marci@762: // 	      }
marci@762: // 	    }
marci@762: // 	  }
marci@762: 
marci@762: // 	  //the starting flow
marci@762: // 	  OutEdgeIt e;
marci@762: // 	  for(g->first(e,s); g->valid(e); g->next(e))
marci@762: // 	    {
marci@762: // 	      Num c=(*capacity)[e];
marci@762: // 	      if ( c <= 0 ) continue;
marci@762: // 	      Node w=g->head(e);
marci@762: // 	      if ( level[w] < n ) {
marci@762: // 		if ( excess[w] <= 0 && w!=t ) active[level[w]].push(w);
marci@762: // 		flow->set(e, c);
marci@762: // 		excess.set(w, excess[w]+c);
marci@762: // 	      }
marci@762: // 	    }
marci@762: // 	  break;
marci@762: // 	}
marci@762: 
marci@762: //       case GEN_FLOW:
marci@762: //       case PRE_FLOW:
marci@762: // 	{
marci@762: // 	  //Reverse_bfs from t in the residual graph,
marci@762: // 	  //to find the starting level.
marci@762: // 	  level.set(t,0);
marci@762: // 	  bfs_queue.push(t);
marci@762: 
marci@762: // 	  while (!bfs_queue.empty()) {
marci@762: 
marci@762: // 	    Node v=bfs_queue.front();
marci@762: // 	    bfs_queue.pop();
marci@762: // 	    int l=level[v]+1;
marci@762: 
marci@762: // 	    InEdgeIt e;
marci@762: // 	    for(g->first(e,v); g->valid(e); g->next(e)) {
marci@762: // 	      if ( (*capacity)[e] <= (*flow)[e] ) continue;
marci@762: // 	      Node w=g->tail(e);
marci@762: // 	      if ( level[w] == n && w != s ) {
marci@762: // 		bfs_queue.push(w);
marci@762: // 		Node first=level_list[l];
marci@762: // 		if ( g->valid(first) ) left.set(first,w);
marci@762: // 		right.set(w,first);
marci@762: // 		level_list[l]=w;
marci@762: // 		level.set(w, l);
marci@762: // 	      }
marci@762: // 	    }
marci@762: 
marci@762: // 	    OutEdgeIt f;
marci@762: // 	    for(g->first(f,v); g->valid(f); g->next(f)) {
marci@762: // 	      if ( 0 >= (*flow)[f] ) continue;
marci@762: // 	      Node w=g->head(f);
marci@762: // 	      if ( level[w] == n && w != s ) {
marci@762: // 		bfs_queue.push(w);
marci@762: // 		Node first=level_list[l];
marci@762: // 		if ( g->valid(first) ) left.set(first,w);
marci@762: // 		right.set(w,first);
marci@762: // 		level_list[l]=w;
marci@762: // 		level.set(w, l);
marci@762: // 	      }
marci@762: // 	    }
marci@762: // 	  }
marci@762: 
marci@762: 
marci@762: // 	  //the starting flow
marci@762: // 	  OutEdgeIt e;
marci@762: // 	  for(g->first(e,s); g->valid(e); g->next(e))
marci@762: // 	    {
marci@762: // 	      Num rem=(*capacity)[e]-(*flow)[e];
marci@762: // 	      if ( rem <= 0 ) continue;
marci@762: // 	      Node w=g->head(e);
marci@762: // 	      if ( level[w] < n ) {
marci@762: // 		if ( excess[w] <= 0 && w!=t ) active[level[w]].push(w);
marci@762: // 		flow->set(e, (*capacity)[e]);
marci@762: // 		excess.set(w, excess[w]+rem);
marci@762: // 	      }
marci@762: // 	    }
marci@762: 
marci@762: // 	  InEdgeIt f;
marci@762: // 	  for(g->first(f,s); g->valid(f); g->next(f))
marci@762: // 	    {
marci@762: // 	      if ( (*flow)[f] <= 0 ) continue;
marci@762: // 	      Node w=g->tail(f);
marci@762: // 	      if ( level[w] < n ) {
marci@762: // 		if ( excess[w] <= 0 && w!=t ) active[level[w]].push(w);
marci@762: // 		excess.set(w, excess[w]+(*flow)[f]);
marci@762: // 		flow->set(f, 0);
marci@762: // 	      }
marci@762: // 	    }
marci@762: // 	  break;
marci@762: // 	} //case PRE_FLOW
marci@762: //       }
marci@762: //     } //preflowPreproc
marci@762: 
marci@762: 
marci@762: 
marci@762: //     void relabel(Node w, int newlevel, VecStack& active,
marci@762: // 		 VecNode& level_list, NNMap& left,
marci@762: // 		 NNMap& right, int& b, int& k, bool what_heur )
marci@762: //     {
marci@762: 
marci@762: //       //FIXME jacint: ez mitol num
marci@762: // //      Num lev=level[w];
marci@762: //       int lev=level[w];
marci@762: 
marci@762: //       Node right_n=right[w];
marci@762: //       Node left_n=left[w];
marci@762: 
marci@762: //       //unlacing starts
marci@762: //       if ( g->valid(right_n) ) {
marci@762: // 	if ( g->valid(left_n) ) {
marci@762: // 	  right.set(left_n, right_n);
marci@762: // 	  left.set(right_n, left_n);
marci@762: // 	} else {
marci@762: // 	  level_list[lev]=right_n;
marci@762: // 	  left.set(right_n, INVALID);
marci@762: // 	}
marci@762: //       } else {
marci@762: // 	if ( g->valid(left_n) ) {
marci@762: // 	  right.set(left_n, INVALID);
marci@762: // 	} else {
marci@762: // 	  level_list[lev]=INVALID;
marci@762: // 	}
marci@762: //       }
marci@762: //       //unlacing ends
marci@762: 
marci@762: //       if ( !g->valid(level_list[lev]) ) {
marci@762: 
marci@762: // 	//gapping starts
marci@762: // 	for (int i=lev; i!=k ; ) {
marci@762: // 	  Node v=level_list[++i];
marci@762: // 	  while ( g->valid(v) ) {
marci@762: // 	    level.set(v,n);
marci@762: // 	    v=right[v];
marci@762: // 	  }
marci@762: // 	  level_list[i]=INVALID;
marci@762: // 	  if ( !what_heur ) {
marci@762: // 	    while ( !active[i].empty() ) {
marci@762: // 	      active[i].pop();    //FIXME: ezt szebben kene
marci@762: // 	    }
marci@762: // 	  }
marci@762: // 	}
marci@762: 
marci@762: // 	level.set(w,n);
marci@762: // 	b=lev-1;
marci@762: // 	k=b;
marci@762: // 	//gapping ends
marci@762: 
marci@762: //       } else {
marci@762: 
marci@762: // 	if ( newlevel == n ) level.set(w,n);
marci@762: // 	else {
marci@762: // 	  level.set(w,++newlevel);
marci@762: // 	  active[newlevel].push(w);
marci@762: // 	  if ( what_heur ) b=newlevel;
marci@762: // 	  if ( k < newlevel ) ++k;      //now k=newlevel
marci@762: // 	  Node first=level_list[newlevel];
marci@762: // 	  if ( g->valid(first) ) left.set(first,w);
marci@762: // 	  right.set(w,first);
marci@762: // 	  left.set(w,INVALID);
marci@762: // 	  level_list[newlevel]=w;
marci@762: // 	}
marci@762: //       }
marci@762: 
marci@762: //     } //relabel
marci@762: 
marci@762: //   };
marci@762: 
marci@762: 
marci@762: 
marci@762: //   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
marci@762: //   void MaxFlow<Graph, Num, CapMap, FlowMap>::preflowPhase1(FlowEnum fe)
marci@762: //   {
marci@762: 
marci@762: //     int heur0=(int)(H0*n);  //time while running 'bound decrease'
marci@762: //     int heur1=(int)(H1*n);  //time while running 'highest label'
marci@762: //     int heur=heur1;         //starting time interval (#of relabels)
marci@762: //     int numrelabel=0;
marci@762: 
marci@762: //     bool what_heur=1;
marci@762: //     //It is 0 in case 'bound decrease' and 1 in case 'highest label'
marci@762: 
marci@762: //     bool end=false;
marci@762: //     //Needed for 'bound decrease', true means no active nodes are above bound
marci@762: //     //b.
marci@762: 
marci@762: //     int k=n-2;  //bound on the highest level under n containing a node
marci@762: //     int b=k;    //bound on the highest level under n of an active node
marci@762: 
marci@762: //     VecStack active(n);
marci@762: 
marci@762: //     NNMap left(*g, INVALID);
marci@762: //     NNMap right(*g, INVALID);
marci@762: //     VecNode level_list(n,INVALID);
marci@762: //     //List of the nodes in level i<n, set to n.
marci@762: 
marci@762: //     NodeIt v;
marci@762: //     for(g->first(v); g->valid(v); g->next(v)) level.set(v,n);
marci@762: //     //setting each node to level n
marci@762: 
marci@762: //     if ( fe == NO_FLOW ) {
marci@762: //       EdgeIt e;
marci@762: //       for(g->first(e); g->valid(e); g->next(e)) flow->set(e,0);
marci@762: //     }
marci@762: 
marci@762: //     switch (fe) { //computing the excess
marci@762: //     case PRE_FLOW:
marci@762: //       {
marci@762: // 	NodeIt v;
marci@762: // 	for(g->first(v); g->valid(v); g->next(v)) {
marci@762: // 	  Num exc=0;
marci@762: 
marci@762: // 	  InEdgeIt e;
marci@762: // 	  for(g->first(e,v); g->valid(e); g->next(e)) exc+=(*flow)[e];
marci@762: // 	  OutEdgeIt f;
marci@762: // 	  for(g->first(f,v); g->valid(f); g->next(f)) exc-=(*flow)[f];
marci@762: 
marci@762: // 	  excess.set(v,exc);
marci@762: 
marci@762: // 	  //putting the active nodes into the stack
marci@762: // 	  int lev=level[v];
marci@762: // 	  if ( exc > 0 && lev < n && v != t ) active[lev].push(v);
marci@762: // 	}
marci@762: // 	break;
marci@762: //       }
marci@762: //     case GEN_FLOW:
marci@762: //       {
marci@762: // 	NodeIt v;
marci@762: // 	for(g->first(v); g->valid(v); g->next(v)) excess.set(v,0);
marci@762: 
marci@762: // 	Num exc=0;
marci@762: // 	InEdgeIt e;
marci@762: // 	for(g->first(e,t); g->valid(e); g->next(e)) exc+=(*flow)[e];
marci@762: // 	OutEdgeIt f;
marci@762: // 	for(g->first(f,t); g->valid(f); g->next(f)) exc-=(*flow)[f];
marci@762: // 	excess.set(t,exc);
marci@762: // 	break;
marci@762: //       }
marci@762: //     case ZERO_FLOW:
marci@762: //     case NO_FLOW:
marci@762: //       {
marci@762: // 	NodeIt v;
marci@762: //         for(g->first(v); g->valid(v); g->next(v)) excess.set(v,0);
marci@762: // 	break;
marci@762: //       }
marci@762: //     }
marci@762: 
marci@762: //     preflowPreproc(fe, active, level_list, left, right);
marci@762: //     //End of preprocessing
marci@762: 
marci@762: 
marci@762: //     //Push/relabel on the highest level active nodes.
marci@762: //     while ( true ) {
marci@762: //       if ( b == 0 ) {
marci@762: // 	if ( !what_heur && !end && k > 0 ) {
marci@762: // 	  b=k;
marci@762: // 	  end=true;
marci@762: // 	} else break;
marci@762: //       }
marci@762: 
marci@762: //       if ( active[b].empty() ) --b;
marci@762: //       else {
marci@762: // 	end=false;
marci@762: // 	Node w=active[b].top();
marci@762: // 	active[b].pop();
marci@762: // 	int newlevel=push(w,active);
marci@762: // 	if ( excess[w] > 0 ) relabel(w, newlevel, active, level_list,
marci@762: // 				     left, right, b, k, what_heur);
marci@762: 
marci@762: // 	++numrelabel;
marci@762: // 	if ( numrelabel >= heur ) {
marci@762: // 	  numrelabel=0;
marci@762: // 	  if ( what_heur ) {
marci@762: // 	    what_heur=0;
marci@762: // 	    heur=heur0;
marci@762: // 	    end=false;
marci@762: // 	  } else {
marci@762: // 	    what_heur=1;
marci@762: // 	    heur=heur1;
marci@762: // 	    b=k;
marci@762: // 	  }
marci@762: // 	}
marci@762: //       }
marci@762: //     }
marci@762: 
marci@762: //     status=AFTER_PRE_FLOW_PHASE_1;
marci@762: //   }
marci@762: 
marci@762: 
marci@762: 
marci@762: //   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
marci@762: //   void MaxFlow<Graph, Num, CapMap, FlowMap>::preflowPhase2()
marci@762: //   {
marci@762: 
marci@762: //     int k=n-2;  //bound on the highest level under n containing a node
marci@762: //     int b=k;    //bound on the highest level under n of an active node
marci@762: 
marci@762: //     VecStack active(n);
marci@762: //     level.set(s,0);
marci@762: //     std::queue<Node> bfs_queue;
marci@762: //     bfs_queue.push(s);
marci@762: 
marci@762: //     while (!bfs_queue.empty()) {
marci@762: 
marci@762: //       Node v=bfs_queue.front();
marci@762: //       bfs_queue.pop();
marci@762: //       int l=level[v]+1;
marci@762: 
marci@762: //       InEdgeIt e;
marci@762: //       for(g->first(e,v); g->valid(e); g->next(e)) {
marci@762: // 	if ( (*capacity)[e] <= (*flow)[e] ) continue;
marci@762: // 	Node u=g->tail(e);
marci@762: // 	if ( level[u] >= n ) {
marci@762: // 	  bfs_queue.push(u);
marci@762: // 	  level.set(u, l);
marci@762: // 	  if ( excess[u] > 0 ) active[l].push(u);
marci@762: // 	}
marci@762: //       }
marci@762: 
marci@762: //       OutEdgeIt f;
marci@762: //       for(g->first(f,v); g->valid(f); g->next(f)) {
marci@762: // 	if ( 0 >= (*flow)[f] ) continue;
marci@762: // 	Node u=g->head(f);
marci@762: // 	if ( level[u] >= n ) {
marci@762: // 	  bfs_queue.push(u);
marci@762: // 	  level.set(u, l);
marci@762: // 	  if ( excess[u] > 0 ) active[l].push(u);
marci@762: // 	}
marci@762: //       }
marci@762: //     }
marci@762: //     b=n-2;
marci@762: 
marci@762: //     while ( true ) {
marci@762: 
marci@762: //       if ( b == 0 ) break;
marci@762: 
marci@762: //       if ( active[b].empty() ) --b;
marci@762: //       else {
marci@762: // 	Node w=active[b].top();
marci@762: // 	active[b].pop();
marci@762: // 	int newlevel=push(w,active);
marci@762: 
marci@762: // 	//relabel
marci@762: // 	if ( excess[w] > 0 ) {
marci@762: // 	  level.set(w,++newlevel);
marci@762: // 	  active[newlevel].push(w);
marci@762: // 	  b=newlevel;
marci@762: // 	}
marci@762: //       }  // if stack[b] is nonempty
marci@762: //     } // while(true)
marci@762: 
marci@762: //     status=AFTER_PRE_FLOW_PHASE_2;
marci@762: //   }
marci@762: 
marci@762: 
marci@762:   template <typename Graph, typename Num,
marci@762: 	    typename CapMap=typename Graph::template EdgeMap<Num>,
marci@762:             typename FlowMap=typename Graph::template EdgeMap<Num> >
marci@762:   class AugmentingFlow {
marci@762:   protected:
marci@762:     typedef typename Graph::Node Node;
marci@762:     typedef typename Graph::NodeIt NodeIt;
marci@762:     typedef typename Graph::EdgeIt EdgeIt;
marci@762:     typedef typename Graph::OutEdgeIt OutEdgeIt;
marci@762:     typedef typename Graph::InEdgeIt InEdgeIt;
marci@762: 
marci@762: //    typedef typename std::vector<std::stack<Node> > VecStack;
marci@762: //    typedef typename Graph::template NodeMap<Node> NNMap;
marci@762: //    typedef typename std::vector<Node> VecNode;
marci@762: 
marci@762:     const Graph* g;
marci@762:     Node s;
marci@762:     Node t;
marci@762:     const CapMap* capacity;
marci@762:     FlowMap* flow;
marci@762: //    int n;      //the number of nodes of G
marci@762:     typedef ResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;   
marci@762:     //typedef ExpResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;
marci@762:     typedef typename ResGW::OutEdgeIt ResGWOutEdgeIt;
marci@762:     typedef typename ResGW::Edge ResGWEdge;
marci@762:     //typedef typename ResGW::template NodeMap<bool> ReachedMap;
marci@762:     typedef typename Graph::template NodeMap<int> ReachedMap;
marci@762: 
marci@762: 
marci@762:     //level works as a bool map in augmenting path algorithms and is
marci@762:     //used by bfs for storing reached information.  In preflow, it
marci@762:     //shows the levels of nodes.     
marci@762:     ReachedMap level;
marci@762: 
marci@762:     //excess is needed only in preflow
marci@762: //    typename Graph::template NodeMap<Num> excess;
marci@762: 
marci@762:     //fixme    
marci@762: //   protected:
marci@762:     //     MaxFlow() { }
marci@762:     //     void set(const Graph& _G, Node _s, Node _t, const CapMap& _capacity,
marci@762:     // 	     FlowMap& _flow)
marci@762:     //       {
marci@762:     // 	g=&_G;
marci@762:     // 	s=_s;
marci@762:     // 	t=_t;
marci@762:     // 	capacity=&_capacity;
marci@762:     // 	flow=&_flow;
marci@762:     // 	n=_G.nodeNum;
marci@762:     // 	level.set (_G); //kellene vmi ilyesmi fv
marci@762:     // 	excess(_G,0); //itt is
marci@762:     //       }
marci@762: 
marci@762:     // constants used for heuristics
marci@762: //    static const int H0=20;
marci@762: //    static const int H1=1;
marci@762: 
marci@762:   public:
marci@762: 
marci@762:     ///Indicates the property of the starting flow.
marci@762: 
marci@762:     ///Indicates the property of the starting flow. The meanings are as follows:
marci@762:     ///- \c ZERO_FLOW: constant zero flow
marci@762:     ///- \c GEN_FLOW: any flow, i.e. the sum of the in-flows equals to
marci@762:     ///the sum of the out-flows in every node except the \e source and
marci@762:     ///the \e target.
marci@762:     ///- \c PRE_FLOW: any preflow, i.e. the sum of the in-flows is at 
marci@762:     ///least the sum of the out-flows in every node except the \e source.
marci@762:     ///- \c NO_FLOW: indicates an unspecified edge map. \ref flow will be 
marci@762:     ///set to the constant zero flow in the beginning of the algorithm in this case.
marci@762:     enum FlowEnum{
marci@762:       ZERO_FLOW,
marci@762:       GEN_FLOW,
marci@762:       PRE_FLOW,
marci@762:       NO_FLOW
marci@762:     };
marci@762: 
marci@762:     enum StatusEnum {
marci@762:       AFTER_NOTHING,
marci@762:       AFTER_AUGMENTING,
marci@762:       AFTER_FAST_AUGMENTING, 
marci@762:       AFTER_PRE_FLOW_PHASE_1,      
marci@762:       AFTER_PRE_FLOW_PHASE_2
marci@762:     };
marci@762: 
marci@762:     /// Don not needle this flag only if necessary.
marci@762:     StatusEnum status;
marci@762:     int number_of_augmentations;
marci@762: 
marci@762: 
marci@762:     template<typename IntMap>
marci@762:     class TrickyReachedMap {
marci@762:     protected:
marci@762:       IntMap* map;
marci@762:       int* number_of_augmentations;
marci@762:     public:
marci@762:       TrickyReachedMap(IntMap& _map, int& _number_of_augmentations) : 
marci@762: 	map(&_map), number_of_augmentations(&_number_of_augmentations) { }
marci@762:       void set(const Node& n, bool b) {
marci@762: 	if (b)
marci@762: 	  map->set(n, *number_of_augmentations);
marci@762: 	else 
marci@762: 	  map->set(n, *number_of_augmentations-1);
marci@762:       }
marci@762:       bool operator[](const Node& n) const { 
marci@762: 	return (*map)[n]==*number_of_augmentations; 
marci@762:       }
marci@762:     };
marci@762:     
marci@762:     AugmentingFlow(const Graph& _G, Node _s, Node _t, const CapMap& _capacity,
marci@762: 		   FlowMap& _flow) :
marci@762:       g(&_G), s(_s), t(_t), capacity(&_capacity),
marci@762:       flow(&_flow), //n(_G.nodeNum()), 
marci@762:       level(_G), //excess(_G,0), 
marci@762:       status(AFTER_NOTHING), number_of_augmentations(0) { }
marci@762: 
marci@762:     /// Starting from a flow, this method searches for an augmenting path
marci@762:     /// according to the Edmonds-Karp algorithm
marci@762:     /// and augments the flow on if any.
marci@762:     /// The return value shows if the augmentation was succesful.
marci@762:     bool augmentOnShortestPath();
marci@762:     bool augmentOnShortestPath2();
marci@762: 
marci@762:     /// Starting from a flow, this method searches for an augmenting blocking
marci@762:     /// flow according to Dinits' algorithm and augments the flow on if any.
marci@762:     /// The blocking flow is computed in a physically constructed
marci@762:     /// residual graph of type \c Mutablegraph.
marci@762:     /// The return value show sif the augmentation was succesful.
marci@762:     template<typename MutableGraph> bool augmentOnBlockingFlow();
marci@762: 
marci@762:     /// The same as \c augmentOnBlockingFlow<MutableGraph> but the
marci@762:     /// residual graph is not constructed physically.
marci@762:     /// The return value shows if the augmentation was succesful.
marci@762:     bool augmentOnBlockingFlow2();
marci@762: 
marci@762:     template<typename _CutMap>
marci@762:     void actMinCut(_CutMap& M) const {
marci@762:       NodeIt v;
marci@762:       switch (status) {
marci@762: 	case AFTER_PRE_FLOW_PHASE_1:
marci@762: //	std::cout << "AFTER_PRE_FLOW_PHASE_1" << std::endl;
marci@762: // 	for(g->first(v); g->valid(v); g->next(v)) {
marci@762: // 	  if (level[v] < n) {
marci@762: // 	    M.set(v, false);
marci@762: // 	  } else {
marci@762: // 	    M.set(v, true);
marci@762: // 	  }
marci@762: // 	}
marci@762: 	break;
marci@762:       case AFTER_PRE_FLOW_PHASE_2:
marci@762: //	std::cout << "AFTER_PRE_FLOW_PHASE_2" << std::endl;
marci@762: 	break;
marci@762:       case AFTER_NOTHING:
marci@762: //	std::cout << "AFTER_NOTHING" << std::endl;
marci@762: 	minMinCut(M);
marci@762: 	break;
marci@762:       case AFTER_AUGMENTING:
marci@762: //	std::cout << "AFTER_AUGMENTING" << std::endl;
marci@775: 	for(g->first(v); v!=INVALID; ++v) {
marci@762: 	  if (level[v]) {
marci@762: 	    M.set(v, true);
marci@762: 	  } else {
marci@762: 	    M.set(v, false);
marci@762: 	  }
marci@762: 	}
marci@762: 	break;
marci@762:       case AFTER_FAST_AUGMENTING:
marci@762: //	std::cout << "AFTER_FAST_AUGMENTING" << std::endl;
marci@775: 	for(g->first(v); v!=INVALID; ++v) {
marci@762: 	  if (level[v]==number_of_augmentations) {
marci@762: 	    M.set(v, true);
marci@762: 	  } else {
marci@762: 	    M.set(v, false);
marci@762: 	  }
marci@762: 	}
marci@762: 	break;
marci@762:       }
marci@762:     }
marci@762: 
marci@762:     template<typename _CutMap>
marci@762:     void minMinCut(_CutMap& M) const {
marci@762:       std::queue<Node> queue;
marci@762: 
marci@762:       M.set(s,true);
marci@762:       queue.push(s);
marci@762: 
marci@762:       while (!queue.empty()) {
marci@762:         Node w=queue.front();
marci@762: 	queue.pop();
marci@762: 
marci@762: 	OutEdgeIt e;
marci@775: 	for(g->first(e,w) ; e!=INVALID; ++e) {
marci@762: 	  Node v=g->head(e);
marci@762: 	  if (!M[v] && (*flow)[e] < (*capacity)[e] ) {
marci@762: 	    queue.push(v);
marci@762: 	    M.set(v, true);
marci@762: 	  }
marci@762: 	}
marci@762: 
marci@762: 	InEdgeIt f;
marci@775: 	for(g->first(f,w) ; f!=INVALID; ++f) {
marci@762: 	  Node v=g->tail(f);
marci@762: 	  if (!M[v] && (*flow)[f] > 0 ) {
marci@762: 	    queue.push(v);
marci@762: 	    M.set(v, true);
marci@762: 	  }
marci@762: 	}
marci@762:       }
marci@762:     }
marci@762: 
marci@762:     template<typename _CutMap>
marci@762:     void minMinCut2(_CutMap& M) const {
marci@762:       ResGW res_graph(*g, *capacity, *flow);
marci@762:       BfsIterator<ResGW, _CutMap> bfs(res_graph, M);
marci@762:       bfs.pushAndSetReached(s);
marci@762:       while (!bfs.finished()) ++bfs;
marci@762:     }
marci@762: 
marci@762:     Num flowValue() const {
marci@762:       Num a=0;
marci@777:       for (InEdgeIt e(*g, t); e!=INVALID; ++e) a+=(*flow)[e];
marci@777:       for (OutEdgeIt e(*g, t); e!=INVALID; ++e) a-=(*flow)[e];
marci@762:       return a;
marci@762:       //marci figyu: excess[t] epp ezt adja preflow 1. fazisa utan   
marci@762:     }
marci@762: 
marci@762:     template<typename MapGraphWrapper>
marci@762:     class DistanceMap {
marci@762:     protected:
marci@762:       const MapGraphWrapper* g;
marci@762:       typename MapGraphWrapper::template NodeMap<int> dist;
marci@762:     public:
marci@762:       DistanceMap(MapGraphWrapper& _g) : g(&_g), dist(*g, g->nodeNum()) { }
marci@762:       void set(const typename MapGraphWrapper::Node& n, int a) {
marci@762: 	dist.set(n, a);
marci@762:       }
marci@762:       int operator[](const typename MapGraphWrapper::Node& n) const { 
marci@762: 	return dist[n]; 
marci@762:       }
marci@762:       //       int get(const typename MapGraphWrapper::Node& n) const {
marci@762:       // 	return dist[n]; }
marci@762:       //       bool get(const typename MapGraphWrapper::Edge& e) const {
marci@762:       // 	return (dist.get(g->tail(e))<dist.get(g->head(e))); }
marci@762:       bool operator[](const typename MapGraphWrapper::Edge& e) const {
marci@762: 	return (dist[g->tail(e)]<dist[g->head(e)]);
marci@762:       }
marci@762:     };
marci@762: 
marci@762:   };
marci@762: 
marci@762: 
marci@762: 
marci@762:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
marci@762:   bool AugmentingFlow<Graph, Num, CapMap, FlowMap>::augmentOnShortestPath()
marci@762:   {
marci@762:     ResGW res_graph(*g, *capacity, *flow);
marci@762:     bool _augment=false;
marci@762: 
marci@762:     //ReachedMap level(res_graph);
marci@777:     for (typename Graph::NodeIt n(*g); n!=INVALID; ++n) level.set(n, 0);
marci@762:     BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
marci@762:     bfs.pushAndSetReached(s);
marci@762: 
marci@762:     typename ResGW::template NodeMap<ResGWEdge> pred(res_graph);
marci@762:     pred.set(s, INVALID);
marci@762: 
marci@762:     typename ResGW::template NodeMap<Num> free(res_graph);
marci@762: 
marci@762:     //searching for augmenting path
marci@762:     while ( !bfs.finished() ) {
marci@777:       ResGWEdge e=bfs;
marci@775:       if (e!=INVALID && bfs.isBNodeNewlyReached()) {
marci@762: 	Node v=res_graph.tail(e);
marci@762: 	Node w=res_graph.head(e);
marci@762: 	pred.set(w, e);
marci@775: 	if (pred[v]!=INVALID) {
marci@762: 	  free.set(w, std::min(free[v], res_graph.resCap(e)));
marci@762: 	} else {
marci@762: 	  free.set(w, res_graph.resCap(e));
marci@762: 	}
marci@762: 	if (res_graph.head(e)==t) { _augment=true; break; }
marci@762:       }
marci@762: 
marci@762:       ++bfs;
marci@762:     } //end of searching augmenting path
marci@762: 
marci@762:     if (_augment) {
marci@762:       Node n=t;
marci@762:       Num augment_value=free[t];
marci@775:       while (pred[n]!=INVALID) {
marci@762: 	ResGWEdge e=pred[n];
marci@762: 	res_graph.augment(e, augment_value);
marci@762: 	n=res_graph.tail(e);
marci@762:       }
marci@762:     }
marci@762: 
marci@762:     status=AFTER_AUGMENTING;
marci@762:     return _augment;
marci@762:   }
marci@762: 
marci@762:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
marci@762:   bool AugmentingFlow<Graph, Num, CapMap, FlowMap>::augmentOnShortestPath2()
marci@762:   {
marci@762:     ResGW res_graph(*g, *capacity, *flow);
marci@762:     bool _augment=false;
marci@762: 
marci@762:     if (status!=AFTER_FAST_AUGMENTING) {
marci@777:       for (typename Graph::NodeIt n(*g); n!=INVALID; ++n) level.set(n, 0); 
marci@762:       number_of_augmentations=1;
marci@762:     } else {
marci@762:       ++number_of_augmentations;
marci@762:     }
marci@762:     TrickyReachedMap<ReachedMap> 
marci@762:       tricky_reached_map(level, number_of_augmentations);
marci@762:     //ReachedMap level(res_graph);
marci@762: //    FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
marci@762:     BfsIterator<ResGW, TrickyReachedMap<ReachedMap> > 
marci@762:       bfs(res_graph, tricky_reached_map);
marci@762:     bfs.pushAndSetReached(s);
marci@762: 
marci@762:     typename ResGW::template NodeMap<ResGWEdge> pred(res_graph);
marci@762:     pred.set(s, INVALID);
marci@762: 
marci@762:     typename ResGW::template NodeMap<Num> free(res_graph);
marci@762: 
marci@762:     //searching for augmenting path
marci@762:     while ( !bfs.finished() ) {
marci@777:       ResGWEdge e=bfs;
marci@775:       if (e!=INVALID && bfs.isBNodeNewlyReached()) {
marci@762: 	Node v=res_graph.tail(e);
marci@762: 	Node w=res_graph.head(e);
marci@762: 	pred.set(w, e);
marci@775: 	if (pred[v]!=INVALID) {
marci@762: 	  free.set(w, std::min(free[v], res_graph.resCap(e)));
marci@762: 	} else {
marci@762: 	  free.set(w, res_graph.resCap(e));
marci@762: 	}
marci@762: 	if (res_graph.head(e)==t) { _augment=true; break; }
marci@762:       }
marci@762: 
marci@762:       ++bfs;
marci@762:     } //end of searching augmenting path
marci@762: 
marci@762:     if (_augment) {
marci@762:       Node n=t;
marci@762:       Num augment_value=free[t];
marci@775:       while (pred[n]!=INVALID) {
marci@762: 	ResGWEdge e=pred[n];
marci@762: 	res_graph.augment(e, augment_value);
marci@762: 	n=res_graph.tail(e);
marci@762:       }
marci@762:     }
marci@762: 
marci@762:     status=AFTER_FAST_AUGMENTING;
marci@762:     return _augment;
marci@762:   }
marci@762: 
marci@762: 
marci@762:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
marci@762:   template<typename MutableGraph>
marci@762:   bool AugmentingFlow<Graph, Num, CapMap, FlowMap>::augmentOnBlockingFlow()
marci@762:   {
marci@762:     typedef MutableGraph MG;
marci@762:     bool _augment=false;
marci@762: 
marci@762:     ResGW res_graph(*g, *capacity, *flow);
marci@762: 
marci@762:     //bfs for distances on the residual graph
marci@762:     //ReachedMap level(res_graph);
marci@777:     for (typename Graph::NodeIt n(*g); n!=INVALID; ++n) level.set(n, 0);
marci@762:     BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
marci@762:     bfs.pushAndSetReached(s);
marci@762:     typename ResGW::template NodeMap<int>
marci@762:       dist(res_graph); //filled up with 0's
marci@762: 
marci@762:     //F will contain the physical copy of the residual graph
marci@762:     //with the set of edges which are on shortest paths
marci@762:     MG F;
marci@762:     typename ResGW::template NodeMap<typename MG::Node>
marci@762:       res_graph_to_F(res_graph);
marci@762:     {
marci@762:       typename ResGW::NodeIt n;
marci@775:       for(res_graph.first(n); n!=INVALID; ++n) {
marci@762: 	res_graph_to_F.set(n, F.addNode());
marci@762:       }
marci@762:     }
marci@762: 
marci@762:     typename MG::Node sF=res_graph_to_F[s];
marci@762:     typename MG::Node tF=res_graph_to_F[t];
marci@762:     typename MG::template EdgeMap<ResGWEdge> original_edge(F);
marci@762:     typename MG::template EdgeMap<Num> residual_capacity(F);
marci@762: 
marci@762:     while ( !bfs.finished() ) {
marci@777:       ResGWEdge e=bfs;
marci@775:       if (e!=INVALID) {
marci@762: 	if (bfs.isBNodeNewlyReached()) {
marci@762: 	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
marci@762: 	  typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)],
marci@762: 					res_graph_to_F[res_graph.head(e)]);
marci@762: 	  original_edge.update();
marci@762: 	  original_edge.set(f, e);
marci@762: 	  residual_capacity.update();
marci@762: 	  residual_capacity.set(f, res_graph.resCap(e));
marci@762: 	} else {
marci@762: 	  if (dist[res_graph.head(e)]==(dist[res_graph.tail(e)]+1)) {
marci@762: 	    typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)],
marci@762: 					  res_graph_to_F[res_graph.head(e)]);
marci@762: 	    original_edge.update();
marci@762: 	    original_edge.set(f, e);
marci@762: 	    residual_capacity.update();
marci@762: 	    residual_capacity.set(f, res_graph.resCap(e));
marci@762: 	  }
marci@762: 	}
marci@762:       }
marci@762:       ++bfs;
marci@762:     } //computing distances from s in the residual graph
marci@762: 
marci@762:     bool __augment=true;
marci@762: 
marci@762:     while (__augment) {
marci@762:       __augment=false;
marci@762:       //computing blocking flow with dfs
marci@762:       DfsIterator< MG, typename MG::template NodeMap<bool> > dfs(F);
marci@762:       typename MG::template NodeMap<typename MG::Edge> pred(F);
marci@762:       pred.set(sF, INVALID);
marci@762:       //invalid iterators for sources
marci@762: 
marci@762:       typename MG::template NodeMap<Num> free(F);
marci@762: 
marci@762:       dfs.pushAndSetReached(sF);
marci@762:       while (!dfs.finished()) {
marci@762: 	++dfs;
marci@762: 	if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {
marci@762: 	  if (dfs.isBNodeNewlyReached()) {
marci@777: 	    typename MG::Node v=F.tail(dfs);
marci@777: 	    typename MG::Node w=F.head(dfs);
marci@762: 	    pred.set(w, dfs);
marci@775: 	    if (pred[v]!=INVALID) {
marci@762: 	      free.set(w, std::min(free[v], residual_capacity[dfs]));
marci@762: 	    } else {
marci@762: 	      free.set(w, residual_capacity[dfs]);
marci@762: 	    }
marci@762: 	    if (w==tF) {
marci@762: 	      __augment=true;
marci@762: 	      _augment=true;
marci@762: 	      break;
marci@762: 	    }
marci@762: 
marci@762: 	  } else {
marci@762: 	    F.erase(/*typename MG::OutEdgeIt*/(dfs));
marci@762: 	  }
marci@762: 	}
marci@762:       }
marci@762: 
marci@762:       if (__augment) {
marci@762: 	typename MG::Node n=tF;
marci@762: 	Num augment_value=free[tF];
marci@775: 	while (pred[n]!=INVALID) {
marci@762: 	  typename MG::Edge e=pred[n];
marci@762: 	  res_graph.augment(original_edge[e], augment_value);
marci@762: 	  n=F.tail(e);
marci@762: 	  if (residual_capacity[e]==augment_value)
marci@762: 	    F.erase(e);
marci@762: 	  else
marci@762: 	    residual_capacity.set(e, residual_capacity[e]-augment_value);
marci@762: 	}
marci@762:       }
marci@762: 
marci@762:     }
marci@762: 
marci@762:     status=AFTER_AUGMENTING;
marci@762:     return _augment;
marci@762:   }
marci@762: 
marci@762: 
marci@762:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
marci@762:   bool AugmentingFlow<Graph, Num, CapMap, FlowMap>::augmentOnBlockingFlow2()
marci@762:   {
marci@762:     bool _augment=false;
marci@762: 
marci@762:     ResGW res_graph(*g, *capacity, *flow);
marci@762: 
marci@762:     //ReachedMap level(res_graph);
marci@777:     for (typename Graph::NodeIt n(*g); n!=INVALID; ++n) level.set(n, 0);
marci@762:     BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
marci@762: 
marci@762:     bfs.pushAndSetReached(s);
marci@762:     DistanceMap<ResGW> dist(res_graph);
marci@762:     while ( !bfs.finished() ) {
marci@777:       ResGWEdge e=bfs;
marci@775:       if (e!=INVALID && bfs.isBNodeNewlyReached()) {
marci@762: 	dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
marci@762:       }
marci@762:       ++bfs;
marci@762:     } //computing distances from s in the residual graph
marci@762: 
marci@777:     //Subgraph containing the edges on some shortest paths
marci@762:     ConstMap<typename ResGW::Node, bool> true_map(true);
marci@762:     typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>,
marci@762:       DistanceMap<ResGW> > FilterResGW;
marci@762:     FilterResGW filter_res_graph(res_graph, true_map, dist);
marci@762: 
marci@762:     //Subgraph, which is able to delete edges which are already
marci@762:     //met by the dfs
marci@777:     typename FilterResGW::template NodeMap<typename FilterResGW::Edge>
marci@762:       first_out_edges(filter_res_graph);
marci@762:     typename FilterResGW::NodeIt v;
marci@775:     for(filter_res_graph.first(v); v!=INVALID; ++v)
marci@762:       {
marci@777:   	typename FilterResGW::OutEdgeIt e;
marci@777:   	filter_res_graph.first(e, v);
marci@777:   	first_out_edges.set(v, e);
marci@762:       }
marci@762:     typedef ErasingFirstGraphWrapper<FilterResGW, typename FilterResGW::
marci@777:       template NodeMap<typename FilterResGW::Edge> > ErasingResGW;
marci@762:     ErasingResGW erasing_res_graph(filter_res_graph, first_out_edges);
marci@762: 
marci@762:     bool __augment=true;
marci@762: 
marci@762:     while (__augment) {
marci@762: 
marci@762:       __augment=false;
marci@762:       //computing blocking flow with dfs
marci@762:       DfsIterator< ErasingResGW,
marci@762: 	typename ErasingResGW::template NodeMap<bool> >
marci@762: 	dfs(erasing_res_graph);
marci@762:       typename ErasingResGW::
marci@777: 	template NodeMap<typename ErasingResGW::Edge> pred(erasing_res_graph);
marci@762:       pred.set(s, INVALID);
marci@762:       //invalid iterators for sources
marci@762: 
marci@762:       typename ErasingResGW::template NodeMap<Num>
marci@762: 	free1(erasing_res_graph);
marci@762: 
marci@762:       dfs.pushAndSetReached
marci@777: 	/// \bug hugo 0.2
marci@762: 	(typename ErasingResGW::Node
marci@762: 	 (typename FilterResGW::Node
marci@762: 	  (typename ResGW::Node(s)
marci@762: 	   )
marci@762: 	  )
marci@762: 	 );
marci@777: 	
marci@762:       while (!dfs.finished()) {
marci@762: 	++dfs;
marci@777: 	if (typename ErasingResGW::Edge(dfs)!=INVALID)
marci@762:  	  {
marci@762:   	    if (dfs.isBNodeNewlyReached()) {
marci@762: 
marci@777:  	      typename ErasingResGW::Node v=erasing_res_graph.tail(dfs);
marci@777:  	      typename ErasingResGW::Node w=erasing_res_graph.head(dfs);
marci@762: 
marci@777:  	      pred.set(w, typename ErasingResGW::Edge(dfs));
marci@775:  	      if (pred[v]!=INVALID) {
marci@762:  		free1.set
marci@762: 		  (w, std::min(free1[v], res_graph.resCap
marci@777: 			       (typename ErasingResGW::Edge(dfs))));
marci@762:  	      } else {
marci@762:  		free1.set
marci@762: 		  (w, res_graph.resCap
marci@777: 		   (typename ErasingResGW::Edge(dfs)));
marci@762:  	      }
marci@762: 
marci@762:  	      if (w==t) {
marci@762:  		__augment=true;
marci@762:  		_augment=true;
marci@762:  		break;
marci@762:  	      }
marci@762:  	    } else {
marci@762:  	      erasing_res_graph.erase(dfs);
marci@762: 	    }
marci@762: 	  }
marci@762:       }
marci@762: 
marci@762:       if (__augment) {
marci@762: 	typename ErasingResGW::Node
marci@762: 	  n=typename FilterResGW::Node(typename ResGW::Node(t));
marci@762: 	// 	  typename ResGW::NodeMap<Num> a(res_graph);
marci@762: 	// 	  typename ResGW::Node b;
marci@762: 	// 	  Num j=a[b];
marci@762: 	// 	  typename FilterResGW::NodeMap<Num> a1(filter_res_graph);
marci@762: 	// 	  typename FilterResGW::Node b1;
marci@762: 	// 	  Num j1=a1[b1];
marci@762: 	// 	  typename ErasingResGW::NodeMap<Num> a2(erasing_res_graph);
marci@762: 	// 	  typename ErasingResGW::Node b2;
marci@762: 	// 	  Num j2=a2[b2];
marci@762: 	Num augment_value=free1[n];
marci@777: 	while (pred[n]!=INVALID) {
marci@777: 	  typename ErasingResGW::Edge e=pred[n];
marci@762: 	  res_graph.augment(e, augment_value);
marci@762: 	  n=erasing_res_graph.tail(e);
marci@762: 	  if (res_graph.resCap(e)==0)
marci@762: 	    erasing_res_graph.erase(e);
marci@762: 	}
marci@762:       }
marci@762: 
marci@762:     } //while (__augment)
marci@762: 
marci@762:     status=AFTER_AUGMENTING;
marci@762:     return _augment;
marci@762:   }
marci@762: 
marci@762: 
marci@762: } //namespace hugo
marci@762: 
marci@762: #endif //HUGO_AUGMENTING_FLOW_H
marci@762: 
marci@762: 
marci@762: 
marci@762: