jacint@714: // -*- C++ -*-
jacint@714: #ifndef HUGO_MAX_FLOW_NO_STACK_H
jacint@714: #define HUGO_MAX_FLOW_NO_STACK_H
jacint@714: 
jacint@714: #include <vector>
jacint@714: #include <queue>
jacint@714: //#include <stack>
jacint@714: 
jacint@714: #include <hugo/graph_wrapper.h>
jacint@714: #include <bfs_dfs.h>
jacint@714: #include <hugo/invalid.h>
jacint@714: #include <hugo/maps.h>
jacint@714: #include <hugo/for_each_macros.h>
jacint@714: 
jacint@714: /// \file
jacint@714: /// \brief The same as max_flow.h, but without using stl stack for the active nodes. Only for test.
jacint@714: /// \ingroup galgs
jacint@714: 
jacint@714: namespace hugo {
jacint@714: 
jacint@714:   /// \addtogroup galgs
jacint@714:   /// @{                                                                                                                                        
jacint@714:   ///Maximum flow algorithms class.
jacint@714: 
jacint@714:   ///This class provides various algorithms for finding a flow of
jacint@714:   ///maximum value in a directed graph. The \e source node, the \e
jacint@714:   ///target node, the \e capacity of the edges and the \e starting \e
jacint@714:   ///flow value of the edges should be passed to the algorithm through the
jacint@714:   ///constructor. It is possible to change these quantities using the
jacint@714:   ///functions \ref resetSource, \ref resetTarget, \ref resetCap and
jacint@714:   ///\ref resetFlow. Before any subsequent runs of any algorithm of
jacint@714:   ///the class \ref resetFlow should be called. 
jacint@714: 
jacint@714:   ///After running an algorithm of the class, the actual flow value 
jacint@714:   ///can be obtained by calling \ref flowValue(). The minimum
jacint@714:   ///value cut can be written into a \c node map of \c bools by
jacint@714:   ///calling \ref minCut. (\ref minMinCut and \ref maxMinCut writes
jacint@714:   ///the inclusionwise minimum and maximum of the minimum value
jacint@714:   ///cuts, resp.)                                                                                                                               
jacint@714:   ///\param Graph The directed graph type the algorithm runs on.
jacint@714:   ///\param Num The number type of the capacities and the flow values.
jacint@714:   ///\param CapMap The capacity map type.
jacint@714:   ///\param FlowMap The flow map type.                                                                                                           
jacint@714:   ///\author Marton Makai, Jacint Szabo 
jacint@714:   template <typename Graph, typename Num,
jacint@714: 	    typename CapMap=typename Graph::template EdgeMap<Num>,
jacint@714:             typename FlowMap=typename Graph::template EdgeMap<Num> >
jacint@714:   class MaxFlowNoStack {
jacint@714:   protected:
jacint@714:     typedef typename Graph::Node Node;
jacint@714:     typedef typename Graph::NodeIt NodeIt;
jacint@714:     typedef typename Graph::EdgeIt EdgeIt;
jacint@714:     typedef typename Graph::OutEdgeIt OutEdgeIt;
jacint@714:     typedef typename Graph::InEdgeIt InEdgeIt;
jacint@714: 
jacint@714:     //    typedef typename std::vector<std::stack<Node> > VecStack;
jacint@714:     typedef typename std::vector<Node> VecFirst;
jacint@714:     typedef typename Graph::template NodeMap<Node> NNMap;
jacint@714:     typedef typename std::vector<Node> VecNode;
jacint@714: 
jacint@714:     const Graph* g;
jacint@714:     Node s;
jacint@714:     Node t;
jacint@714:     const CapMap* capacity;
jacint@714:     FlowMap* flow;
jacint@714:     int n;      //the number of nodes of G
jacint@714:     typedef ResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;   
jacint@714:     //typedef ExpResGraphWrapper<const Graph, Num, CapMap, FlowMap> ResGW;
jacint@714:     typedef typename ResGW::OutEdgeIt ResGWOutEdgeIt;
jacint@714:     typedef typename ResGW::Edge ResGWEdge;
jacint@714:     //typedef typename ResGW::template NodeMap<bool> ReachedMap;
jacint@714:     typedef typename Graph::template NodeMap<int> ReachedMap;
jacint@714: 
jacint@714: 
jacint@714:     //level works as a bool map in augmenting path algorithms and is
jacint@714:     //used by bfs for storing reached information.  In preflow, it
jacint@714:     //shows the levels of nodes.     
jacint@714:     ReachedMap level;
jacint@714: 
jacint@714:     //excess is needed only in preflow
jacint@714:     typename Graph::template NodeMap<Num> excess;
jacint@714: 
jacint@714:     //fixme    
jacint@714: //   protected:
jacint@714:     //     MaxFlow() { }
jacint@714:     //     void set(const Graph& _G, Node _s, Node _t, const CapMap& _capacity,
jacint@714:     // 	     FlowMap& _flow)
jacint@714:     //       {
jacint@714:     // 	g=&_G;
jacint@714:     // 	s=_s;
jacint@714:     // 	t=_t;
jacint@714:     // 	capacity=&_capacity;
jacint@714:     // 	flow=&_flow;
jacint@714:     // 	n=_G.nodeNum;
jacint@714:     // 	level.set (_G); //kellene vmi ilyesmi fv
jacint@714:     // 	excess(_G,0); //itt is
jacint@714:     //       }
jacint@714: 
jacint@714:     // constants used for heuristics
jacint@714:     static const int H0=20;
jacint@714:     static const int H1=1;
jacint@714: 
jacint@714:   public:
jacint@714: 
jacint@714:     ///Indicates the property of the starting flow.
jacint@714: 
jacint@714:     ///Indicates the property of the starting flow. The meanings are as follows:
jacint@714:     ///- \c ZERO_FLOW: constant zero flow
jacint@714:     ///- \c GEN_FLOW: any flow, i.e. the sum of the in-flows equals to
jacint@714:     ///the sum of the out-flows in every node except the \e source and
jacint@714:     ///the \e target.
jacint@714:     ///- \c PRE_FLOW: any preflow, i.e. the sum of the in-flows is at 
jacint@714:     ///least the sum of the out-flows in every node except the \e source.
jacint@714:     ///- \c NO_FLOW: indicates an unspecified edge map. \ref flow will be 
jacint@714:     ///set to the constant zero flow in the beginning of the algorithm in this case.
jacint@714:     enum FlowEnum{
jacint@714:       ZERO_FLOW,
jacint@714:       GEN_FLOW,
jacint@714:       PRE_FLOW,
jacint@714:       NO_FLOW
jacint@714:     };
jacint@714: 
jacint@714:     enum StatusEnum {
jacint@714:       AFTER_NOTHING,
jacint@714:       AFTER_AUGMENTING,
jacint@714:       AFTER_FAST_AUGMENTING, 
jacint@714:       AFTER_PRE_FLOW_PHASE_1,      
jacint@714:       AFTER_PRE_FLOW_PHASE_2
jacint@714:     };
jacint@714: 
jacint@714:     /// Don not needle this flag only if necessary.
jacint@714:     StatusEnum status;
jacint@714:     int number_of_augmentations;
jacint@714: 
jacint@714: 
jacint@714:     template<typename IntMap>
jacint@714:     class TrickyReachedMap {
jacint@714:     protected:
jacint@714:       IntMap* map;
jacint@714:       int* number_of_augmentations;
jacint@714:     public:
jacint@714:       TrickyReachedMap(IntMap& _map, int& _number_of_augmentations) : 
jacint@714: 	map(&_map), number_of_augmentations(&_number_of_augmentations) { }
jacint@714:       void set(const Node& n, bool b) {
jacint@714: 	if (b)
jacint@714: 	  map->set(n, *number_of_augmentations);
jacint@714: 	else 
jacint@714: 	  map->set(n, *number_of_augmentations-1);
jacint@714:       }
jacint@714:       bool operator[](const Node& n) const { 
jacint@714: 	return (*map)[n]==*number_of_augmentations; 
jacint@714:       }
jacint@714:     };
jacint@714:     
jacint@714:     ///Constructor
jacint@714: 
jacint@714:     ///\todo Document, please.
jacint@714:     ///
alpar@719:     MaxFlowNoStack(const Graph& _G, Node _s, Node _t,
alpar@719: 		   const CapMap& _capacity, FlowMap& _flow) :
jacint@714:       g(&_G), s(_s), t(_t), capacity(&_capacity),
jacint@714:       flow(&_flow), n(_G.nodeNum()), level(_G), excess(_G,0), 
jacint@714:       status(AFTER_NOTHING), number_of_augmentations(0) { }
jacint@714: 
jacint@714:     ///Runs a maximum flow algorithm.
jacint@714: 
jacint@714:     ///Runs a preflow algorithm, which is the fastest maximum flow
jacint@714:     ///algorithm up-to-date. The default for \c fe is ZERO_FLOW.
jacint@714:     ///\pre The starting flow must be
jacint@714:     /// - a constant zero flow if \c fe is \c ZERO_FLOW,
jacint@714:     /// - an arbitary flow if \c fe is \c GEN_FLOW,
jacint@714:     /// - an arbitary preflow if \c fe is \c PRE_FLOW,
jacint@714:     /// - any map if \c fe is NO_FLOW.
jacint@714:     void run(FlowEnum fe=ZERO_FLOW) {
jacint@714:       preflow(fe);
jacint@714:     }
jacint@714: 
jacint@714:                                                                               
jacint@714:     ///Runs a preflow algorithm.  
jacint@714: 
jacint@714:     ///Runs a preflow algorithm. The preflow algorithms provide the
jacint@714:     ///fastest way to compute a maximum flow in a directed graph.
jacint@714:     ///\pre The starting flow must be
jacint@714:     /// - a constant zero flow if \c fe is \c ZERO_FLOW,
jacint@714:     /// - an arbitary flow if \c fe is \c GEN_FLOW,
jacint@714:     /// - an arbitary preflow if \c fe is \c PRE_FLOW,
jacint@714:     /// - any map if \c fe is NO_FLOW.
jacint@714:     ///
jacint@714:     ///\todo NO_FLOW should be the default flow.
jacint@714:     void preflow(FlowEnum fe) {
jacint@714:       preflowPhase1(fe);
jacint@714:       preflowPhase2();
jacint@714:     }
jacint@714:     // Heuristics:
jacint@714:     //   2 phase
jacint@714:     //   gap
jacint@714:     //   list 'level_list' on the nodes on level i implemented by hand
jacint@714:     //   stack 'active' on the active nodes on level i                                                                                    
jacint@714:     //   runs heuristic 'highest label' for H1*n relabels
jacint@714:     //   runs heuristic 'bound decrease' for H0*n relabels, starts with 'highest label'
jacint@714:     //   Parameters H0 and H1 are initialized to 20 and 1.
jacint@714: 
jacint@714:     ///Runs the first phase of the preflow algorithm.
jacint@714: 
jacint@714:     ///The preflow algorithm consists of two phases, this method runs the
jacint@714:     ///first phase. After the first phase the maximum flow value and a
jacint@714:     ///minimum value cut can already be computed, though a maximum flow
jacint@714:     ///is net yet obtained. So after calling this method \ref flowValue
jacint@714:     ///and \ref actMinCut gives proper results.
jacint@714:     ///\warning: \ref minCut, \ref minMinCut and \ref maxMinCut do not
jacint@714:     ///give minimum value cuts unless calling \ref preflowPhase2.
jacint@714:     ///\pre The starting flow must be
jacint@714:     /// - a constant zero flow if \c fe is \c ZERO_FLOW,
jacint@714:     /// - an arbitary flow if \c fe is \c GEN_FLOW,
jacint@714:     /// - an arbitary preflow if \c fe is \c PRE_FLOW,
jacint@714:     /// - any map if \c fe is NO_FLOW.
jacint@714:     void preflowPhase1(FlowEnum fe);
jacint@714: 
jacint@714:     ///Runs the second phase of the preflow algorithm.
jacint@714: 
jacint@714:     ///The preflow algorithm consists of two phases, this method runs
jacint@714:     ///the second phase. After calling \ref preflowPhase1 and then
jacint@714:     ///\ref preflowPhase2 the methods \ref flowValue, \ref minCut,
jacint@714:     ///\ref minMinCut and \ref maxMinCut give proper results.
jacint@714:     ///\pre \ref preflowPhase1 must be called before.
jacint@714:     void preflowPhase2();
jacint@714: 
jacint@714:     /// Starting from a flow, this method searches for an augmenting path
jacint@714:     /// according to the Edmonds-Karp algorithm
jacint@714:     /// and augments the flow on if any.
jacint@714:     /// The return value shows if the augmentation was succesful.
jacint@714:     bool augmentOnShortestPath();
jacint@714:     bool augmentOnShortestPath2();
jacint@714: 
jacint@714:     /// Starting from a flow, this method searches for an augmenting blocking
jacint@714:     /// flow according to Dinits' algorithm and augments the flow on if any.
jacint@714:     /// The blocking flow is computed in a physically constructed
jacint@714:     /// residual graph of type \c Mutablegraph.
jacint@714:     /// The return value show sif the augmentation was succesful.
jacint@714:     template<typename MutableGraph> bool augmentOnBlockingFlow();
jacint@714: 
jacint@714:     /// The same as \c augmentOnBlockingFlow<MutableGraph> but the
jacint@714:     /// residual graph is not constructed physically.
jacint@714:     /// The return value shows if the augmentation was succesful.
jacint@714:     bool augmentOnBlockingFlow2();
jacint@714: 
jacint@714:     /// Returns the maximum value of a flow.
jacint@714: 
jacint@714:     /// Returns the maximum value of a flow, by counting the 
jacint@714:     /// over-flow of the target node \ref t.
jacint@714:     /// It can be called already after running \ref preflowPhase1.
jacint@714:     Num flowValue() const {
jacint@714:       Num a=0;
jacint@714:       FOR_EACH_INC_LOC(InEdgeIt, e, *g, t) a+=(*flow)[e];
jacint@714:       FOR_EACH_INC_LOC(OutEdgeIt, e, *g, t) a-=(*flow)[e];
jacint@714:       return a;
jacint@714:       //marci figyu: excess[t] epp ezt adja preflow 1. fazisa utan   
jacint@714:     }
jacint@714: 
jacint@714:     ///Returns a minimum value cut after calling \ref preflowPhase1.
jacint@714: 
jacint@714:     ///After the first phase of the preflow algorithm the maximum flow
jacint@714:     ///value and a minimum value cut can already be computed. This
jacint@714:     ///method can be called after running \ref preflowPhase1 for
jacint@714:     ///obtaining a minimum value cut.
jacint@714:     /// \warning Gives proper result only right after calling \ref
jacint@714:     /// preflowPhase1.
jacint@714:     /// \todo We have to make some status variable which shows the
jacint@714:     /// actual state
jacint@714:     /// of the class. This enables us to determine which methods are valid
jacint@714:     /// for MinCut computation
jacint@714:     template<typename _CutMap>
jacint@714:     void actMinCut(_CutMap& M) const {
jacint@714:       NodeIt v;
jacint@714:       switch (status) {
jacint@714:       case AFTER_PRE_FLOW_PHASE_1:
jacint@714: 	for(g->first(v); g->valid(v); g->next(v)) {
jacint@714: 	  if (level[v] < n) {
jacint@714: 	    M.set(v, false);
jacint@714: 	  } else {
jacint@714: 	    M.set(v, true);
jacint@714: 	  }
jacint@714: 	}
jacint@714: 	break;
jacint@714:       case AFTER_PRE_FLOW_PHASE_2:
jacint@714:       case AFTER_NOTHING:
jacint@714: 	minMinCut(M);
jacint@714: 	break;
jacint@714:       case AFTER_AUGMENTING:
jacint@714: 	for(g->first(v); g->valid(v); g->next(v)) {
jacint@714: 	  if (level[v]) {
jacint@714: 	    M.set(v, true);
jacint@714: 	  } else {
jacint@714: 	    M.set(v, false);
jacint@714: 	  }
jacint@714: 	}
jacint@714: 	break;
jacint@714:       case AFTER_FAST_AUGMENTING:
jacint@714: 	for(g->first(v); g->valid(v); g->next(v)) {
jacint@714: 	  if (level[v]==number_of_augmentations) {
jacint@714: 	    M.set(v, true);
jacint@714: 	  } else {
jacint@714: 	    M.set(v, false);
jacint@714: 	  }
jacint@714: 	}
jacint@714: 	break;
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     ///Returns the inclusionwise minimum of the minimum value cuts.
jacint@714: 
jacint@714:     ///Sets \c M to the characteristic vector of the minimum value cut
jacint@714:     ///which is inclusionwise minimum. It is computed by processing
jacint@714:     ///a bfs from the source node \c s in the residual graph.
jacint@714:     ///\pre M should be a node map of bools initialized to false.
jacint@714:     ///\pre \c flow must be a maximum flow.
jacint@714:     template<typename _CutMap>
jacint@714:     void minMinCut(_CutMap& M) const {
jacint@714:       std::queue<Node> queue;
jacint@714: 
jacint@714:       M.set(s,true);
jacint@714:       queue.push(s);
jacint@714: 
jacint@714:       while (!queue.empty()) {
jacint@714:         Node w=queue.front();
jacint@714: 	queue.pop();
jacint@714: 
jacint@714: 	OutEdgeIt e;
jacint@714: 	for(g->first(e,w) ; g->valid(e); g->next(e)) {
jacint@714: 	  Node v=g->head(e);
jacint@714: 	  if (!M[v] && (*flow)[e] < (*capacity)[e] ) {
jacint@714: 	    queue.push(v);
jacint@714: 	    M.set(v, true);
jacint@714: 	  }
jacint@714: 	}
jacint@714: 
jacint@714: 	InEdgeIt f;
jacint@714: 	for(g->first(f,w) ; g->valid(f); g->next(f)) {
jacint@714: 	  Node v=g->tail(f);
jacint@714: 	  if (!M[v] && (*flow)[f] > 0 ) {
jacint@714: 	    queue.push(v);
jacint@714: 	    M.set(v, true);
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     ///Returns the inclusionwise maximum of the minimum value cuts.
jacint@714: 
jacint@714:     ///Sets \c M to the characteristic vector of the minimum value cut
jacint@714:     ///which is inclusionwise maximum. It is computed by processing a
jacint@714:     ///backward bfs from the target node \c t in the residual graph.
jacint@714:     ///\pre M should be a node map of bools initialized to false.
jacint@714:     ///\pre \c flow must be a maximum flow. 
jacint@714:     template<typename _CutMap>
jacint@714:     void maxMinCut(_CutMap& M) const {
jacint@714: 
jacint@714:       NodeIt v;
jacint@714:       for(g->first(v) ; g->valid(v); g->next(v)) {
jacint@714: 	M.set(v, true);
jacint@714:       }
jacint@714: 
jacint@714:       std::queue<Node> queue;
jacint@714: 
jacint@714:       M.set(t,false);
jacint@714:       queue.push(t);
jacint@714: 
jacint@714:       while (!queue.empty()) {
jacint@714:         Node w=queue.front();
jacint@714: 	queue.pop();
jacint@714: 
jacint@714: 	InEdgeIt e;
jacint@714: 	for(g->first(e,w) ; g->valid(e); g->next(e)) {
jacint@714: 	  Node v=g->tail(e);
jacint@714: 	  if (M[v] && (*flow)[e] < (*capacity)[e] ) {
jacint@714: 	    queue.push(v);
jacint@714: 	    M.set(v, false);
jacint@714: 	  }
jacint@714: 	}
jacint@714: 
jacint@714: 	OutEdgeIt f;
jacint@714: 	for(g->first(f,w) ; g->valid(f); g->next(f)) {
jacint@714: 	  Node v=g->head(f);
jacint@714: 	  if (M[v] && (*flow)[f] > 0 ) {
jacint@714: 	    queue.push(v);
jacint@714: 	    M.set(v, false);
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     ///Returns a minimum value cut.
jacint@714: 
jacint@714:     ///Sets \c M to the characteristic vector of a minimum value cut.
jacint@714:     ///\pre M should be a node map of bools initialized to false.
jacint@714:     ///\pre \c flow must be a maximum flow.    
jacint@714:     template<typename CutMap>
jacint@714:     void minCut(CutMap& M) const { minMinCut(M); }
jacint@714: 
jacint@714:     ///Resets the source node to \c _s.
jacint@714: 
jacint@714:     ///Resets the source node to \c _s.
jacint@714:     /// 
jacint@714:     void resetSource(Node _s) { s=_s; status=AFTER_NOTHING; }
jacint@714: 
jacint@714:     ///Resets the target node to \c _t.
jacint@714: 
jacint@714:     ///Resets the target node to \c _t.
jacint@714:     ///
jacint@714:     void resetTarget(Node _t) { t=_t; status=AFTER_NOTHING; }
jacint@714: 
jacint@714:     /// Resets the edge map of the capacities to _cap.
jacint@714: 
jacint@714:     /// Resets the edge map of the capacities to _cap.
jacint@714:     /// 
alpar@719:     void resetCap(const CapMap& _cap)
alpar@719:     { capacity=&_cap; status=AFTER_NOTHING; }
jacint@714: 
jacint@714:     /// Resets the edge map of the flows to _flow.
jacint@714: 
jacint@714:     /// Resets the edge map of the flows to _flow.
jacint@714:     /// 
jacint@714:     void resetFlow(FlowMap& _flow) { flow=&_flow; status=AFTER_NOTHING; }
jacint@714: 
jacint@714: 
jacint@714:   private:
jacint@714: 
jacint@714:     int push(Node w, NNMap& next, VecFirst& first) {
jacint@714: 
jacint@714:       int lev=level[w];
jacint@714:       Num exc=excess[w];
jacint@714:       int newlevel=n;       //bound on the next level of w
jacint@714: 
jacint@714:       OutEdgeIt e;
jacint@714:       for(g->first(e,w); g->valid(e); g->next(e)) {
jacint@714: 
jacint@714: 	if ( (*flow)[e] >= (*capacity)[e] ) continue;
jacint@714: 	Node v=g->head(e);
jacint@714: 
jacint@714: 	if( lev > level[v] ) { //Push is allowed now
jacint@714: 
jacint@714: 	  if ( excess[v]<=0 && v!=t && v!=s ) {
jacint@714: 	    next.set(v,first[level[v]]);
jacint@714: 	    first[level[v]]=v;
jacint@714: 	    //	    int lev_v=level[v];
jacint@714: 	    //active[lev_v].push(v);
jacint@714: 	  }
jacint@714: 
jacint@714: 	  Num cap=(*capacity)[e];
jacint@714: 	  Num flo=(*flow)[e];
jacint@714: 	  Num remcap=cap-flo;
jacint@714: 
jacint@714: 	  if ( remcap >= exc ) { //A nonsaturating push.
jacint@714: 
jacint@714: 	    flow->set(e, flo+exc);
jacint@714: 	    excess.set(v, excess[v]+exc);
jacint@714: 	    exc=0;
jacint@714: 	    break;
jacint@714: 
jacint@714: 	  } else { //A saturating push.
jacint@714: 	    flow->set(e, cap);
jacint@714: 	    excess.set(v, excess[v]+remcap);
jacint@714: 	    exc-=remcap;
jacint@714: 	  }
jacint@714: 	} else if ( newlevel > level[v] ) newlevel = level[v];
jacint@714:       } //for out edges wv
jacint@714: 
jacint@714:       if ( exc > 0 ) {
jacint@714: 	InEdgeIt e;
jacint@714: 	for(g->first(e,w); g->valid(e); g->next(e)) {
jacint@714: 
jacint@714: 	  if( (*flow)[e] <= 0 ) continue;
jacint@714: 	  Node v=g->tail(e);
jacint@714: 
jacint@714: 	  if( lev > level[v] ) { //Push is allowed now
jacint@714: 
jacint@714: 	    if ( excess[v]<=0 && v!=t && v!=s ) {
jacint@714: 	      next.set(v,first[level[v]]);
jacint@714: 	      first[level[v]]=v;
jacint@714: 	      //int lev_v=level[v];
jacint@714: 	      //active[lev_v].push(v);
jacint@714: 	    }
jacint@714: 
jacint@714: 	    Num flo=(*flow)[e];
jacint@714: 
jacint@714: 	    if ( flo >= exc ) { //A nonsaturating push.
jacint@714: 
jacint@714: 	      flow->set(e, flo-exc);
jacint@714: 	      excess.set(v, excess[v]+exc);
jacint@714: 	      exc=0;
jacint@714: 	      break;
jacint@714: 	    } else {  //A saturating push.
jacint@714: 
jacint@714: 	      excess.set(v, excess[v]+flo);
jacint@714: 	      exc-=flo;
jacint@714: 	      flow->set(e,0);
jacint@714: 	    }
jacint@714: 	  } else if ( newlevel > level[v] ) newlevel = level[v];
jacint@714: 	} //for in edges vw
jacint@714: 
jacint@714:       } // if w still has excess after the out edge for cycle
jacint@714: 
jacint@714:       excess.set(w, exc);
jacint@714: 
jacint@714:       return newlevel;
jacint@714:     }
jacint@714: 
jacint@714: 
jacint@714:     void preflowPreproc(FlowEnum fe, NNMap& next, VecFirst& first,
jacint@714: 			VecNode& level_list, NNMap& left, NNMap& right)
jacint@714:     {
jacint@714:       std::queue<Node> bfs_queue;
jacint@714: 
jacint@714:       switch (fe) {
jacint@714:       case NO_FLOW:   //flow is already set to const zero in this case
jacint@714:       case ZERO_FLOW:
jacint@714: 	{
jacint@714: 	  //Reverse_bfs from t, to find the starting level.
jacint@714: 	  level.set(t,0);
jacint@714: 	  bfs_queue.push(t);
jacint@714: 
jacint@714: 	  while (!bfs_queue.empty()) {
jacint@714: 
jacint@714: 	    Node v=bfs_queue.front();
jacint@714: 	    bfs_queue.pop();
jacint@714: 	    int l=level[v]+1;
jacint@714: 
jacint@714: 	    InEdgeIt e;
jacint@714: 	    for(g->first(e,v); g->valid(e); g->next(e)) {
jacint@714: 	      Node w=g->tail(e);
jacint@714: 	      if ( level[w] == n && w != s ) {
jacint@714: 		bfs_queue.push(w);
jacint@714: 		Node z=level_list[l];
jacint@714: 		if ( g->valid(z) ) left.set(z,w);
jacint@714: 		right.set(w,z);
jacint@714: 		level_list[l]=w;
jacint@714: 		level.set(w, l);
jacint@714: 	      }
jacint@714: 	    }
jacint@714: 	  }
jacint@714: 
jacint@714: 	  //the starting flow
jacint@714: 	  OutEdgeIt e;
jacint@714: 	  for(g->first(e,s); g->valid(e); g->next(e))
jacint@714: 	    {
jacint@714: 	      Num c=(*capacity)[e];
jacint@714: 	      if ( c <= 0 ) continue;
jacint@714: 	      Node w=g->head(e);
jacint@714: 	      if ( level[w] < n ) {
jacint@714: 		if ( excess[w] <= 0 && w!=t ) 
jacint@714: 		  {
jacint@714: 		    next.set(w,first[level[w]]);
jacint@714: 		    first[level[w]]=w;
jacint@714: 		    //active[level[w]].push(w);
jacint@714: 		  }
jacint@714: 		flow->set(e, c);
jacint@714: 		excess.set(w, excess[w]+c);
jacint@714: 	      }
jacint@714: 	    }
jacint@714: 	  break;
jacint@714: 	}
jacint@714: 
jacint@714:       case GEN_FLOW:
jacint@714:       case PRE_FLOW:
jacint@714: 	{
jacint@714: 	  //Reverse_bfs from t in the residual graph,
jacint@714: 	  //to find the starting level.
jacint@714: 	  level.set(t,0);
jacint@714: 	  bfs_queue.push(t);
jacint@714: 
jacint@714: 	  while (!bfs_queue.empty()) {
jacint@714: 
jacint@714: 	    Node v=bfs_queue.front();
jacint@714: 	    bfs_queue.pop();
jacint@714: 	    int l=level[v]+1;
jacint@714: 
jacint@714: 	    InEdgeIt e;
jacint@714: 	    for(g->first(e,v); g->valid(e); g->next(e)) {
jacint@714: 	      if ( (*capacity)[e] <= (*flow)[e] ) continue;
jacint@714: 	      Node w=g->tail(e);
jacint@714: 	      if ( level[w] == n && w != s ) {
jacint@714: 		bfs_queue.push(w);
jacint@714: 		Node z=level_list[l];
jacint@714: 		if ( g->valid(z) ) left.set(z,w);
jacint@714: 		right.set(w,z);
jacint@714: 		level_list[l]=w;
jacint@714: 		level.set(w, l);
jacint@714: 	      }
jacint@714: 	    }
jacint@714: 
jacint@714: 	    OutEdgeIt f;
jacint@714: 	    for(g->first(f,v); g->valid(f); g->next(f)) {
jacint@714: 	      if ( 0 >= (*flow)[f] ) continue;
jacint@714: 	      Node w=g->head(f);
jacint@714: 	      if ( level[w] == n && w != s ) {
jacint@714: 		bfs_queue.push(w);
jacint@714: 		Node z=level_list[l];
jacint@714: 		if ( g->valid(z) ) left.set(z,w);
jacint@714: 		right.set(w,z);
jacint@714: 		level_list[l]=w;
jacint@714: 		level.set(w, l);
jacint@714: 	      }
jacint@714: 	    }
jacint@714: 	  }
jacint@714: 
jacint@714: 
jacint@714: 	  //the starting flow
jacint@714: 	  OutEdgeIt e;
jacint@714: 	  for(g->first(e,s); g->valid(e); g->next(e))
jacint@714: 	    {
jacint@714: 	      Num rem=(*capacity)[e]-(*flow)[e];
jacint@714: 	      if ( rem <= 0 ) continue;
jacint@714: 	      Node w=g->head(e);
jacint@714: 	      if ( level[w] < n ) {
jacint@714: 		if ( excess[w] <= 0 && w!=t )
jacint@714: 		  {
jacint@714: 		    next.set(w,first[level[w]]);
jacint@714: 		    first[level[w]]=w;
jacint@714: 		    //active[level[w]].push(w);
jacint@714: 		  }   
jacint@714: 		flow->set(e, (*capacity)[e]);
jacint@714: 		excess.set(w, excess[w]+rem);
jacint@714: 	      }
jacint@714: 	    }
jacint@714: 
jacint@714: 	  InEdgeIt f;
jacint@714: 	  for(g->first(f,s); g->valid(f); g->next(f))
jacint@714: 	    {
jacint@714: 	      if ( (*flow)[f] <= 0 ) continue;
jacint@714: 	      Node w=g->tail(f);
jacint@714: 	      if ( level[w] < n ) {
jacint@714: 		if ( excess[w] <= 0 && w!=t )
jacint@714: 		  {
jacint@714: 		    next.set(w,first[level[w]]);
jacint@714: 		    first[level[w]]=w;
jacint@714: 		    //active[level[w]].push(w);
jacint@714: 		  }   
jacint@714: 		excess.set(w, excess[w]+(*flow)[f]);
jacint@714: 		flow->set(f, 0);
jacint@714: 	      }
jacint@714: 	    }
jacint@714: 	  break;
jacint@714: 	} //case PRE_FLOW
jacint@714:       }
jacint@714:     } //preflowPreproc
jacint@714: 
jacint@714: 
jacint@714: 
jacint@714:     void relabel(Node w, int newlevel, NNMap& next, VecFirst& first,
jacint@714: 		 VecNode& level_list, NNMap& left,
jacint@714: 		 NNMap& right, int& b, int& k, bool what_heur )
jacint@714:     {
jacint@714: 
jacint@714:       Num lev=level[w];
jacint@714: 
jacint@714:       Node right_n=right[w];
jacint@714:       Node left_n=left[w];
jacint@714: 
jacint@714:       //unlacing starts
jacint@714:       if ( g->valid(right_n) ) {
jacint@714: 	if ( g->valid(left_n) ) {
jacint@714: 	  right.set(left_n, right_n);
jacint@714: 	  left.set(right_n, left_n);
jacint@714: 	} else {
jacint@714: 	  level_list[lev]=right_n;
jacint@714: 	  left.set(right_n, INVALID);
jacint@714: 	}
jacint@714:       } else {
jacint@714: 	if ( g->valid(left_n) ) {
jacint@714: 	  right.set(left_n, INVALID);
jacint@714: 	} else {
jacint@714: 	  level_list[lev]=INVALID;
jacint@714: 	}
jacint@714:       }
jacint@714:       //unlacing ends
jacint@714: 
jacint@714:       if ( !g->valid(level_list[lev]) ) {
jacint@714: 
jacint@714: 	//gapping starts
jacint@714: 	for (int i=lev; i!=k ; ) {
jacint@714: 	  Node v=level_list[++i];
jacint@714: 	  while ( g->valid(v) ) {
jacint@714: 	    level.set(v,n);
jacint@714: 	    v=right[v];
jacint@714: 	  }
jacint@714: 	  level_list[i]=INVALID;
jacint@714: 	  if ( !what_heur ) first[i]=INVALID;
jacint@714: 	  /*{
jacint@714: 	    while ( !active[i].empty() ) {
jacint@714: 	    active[i].pop();    //FIXME: ezt szebben kene
jacint@714: 	    }
jacint@714: 	    }*/
jacint@714: 	}
jacint@714: 
jacint@714: 	level.set(w,n);
jacint@714: 	b=lev-1;
jacint@714: 	k=b;
jacint@714: 	//gapping ends
jacint@714: 
jacint@714:       } else {
jacint@714: 
jacint@714: 	if ( newlevel == n ) level.set(w,n);
jacint@714: 	else {
jacint@714: 	  level.set(w,++newlevel);
jacint@714: 	  next.set(w,first[newlevel]);
jacint@714: 	  first[newlevel]=w;
jacint@714: 	  //	  active[newlevel].push(w);
jacint@714: 	  if ( what_heur ) b=newlevel;
jacint@714: 	  if ( k < newlevel ) ++k;      //now k=newlevel
jacint@714: 	  Node z=level_list[newlevel];
jacint@714: 	  if ( g->valid(z) ) left.set(z,w);
jacint@714: 	  right.set(w,z);
jacint@714: 	  left.set(w,INVALID);
jacint@714: 	  level_list[newlevel]=w;
jacint@714: 	}
jacint@714:       }
jacint@714: 
jacint@714:     } //relabel
jacint@714: 
jacint@714: 
jacint@714:     template<typename MapGraphWrapper>
jacint@714:     class DistanceMap {
jacint@714:     protected:
jacint@714:       const MapGraphWrapper* g;
jacint@714:       typename MapGraphWrapper::template NodeMap<int> dist;
jacint@714:     public:
jacint@714:       DistanceMap(MapGraphWrapper& _g) : g(&_g), dist(*g, g->nodeNum()) { }
jacint@714:       void set(const typename MapGraphWrapper::Node& n, int a) {
jacint@714: 	dist.set(n, a);
jacint@714:       }
jacint@714:       int operator[](const typename MapGraphWrapper::Node& n) const { 
jacint@714: 	return dist[n]; 
jacint@714:       }
jacint@714:       //       int get(const typename MapGraphWrapper::Node& n) const {
jacint@714:       // 	return dist[n]; }
jacint@714:       //       bool get(const typename MapGraphWrapper::Edge& e) const {
jacint@714:       // 	return (dist.get(g->tail(e))<dist.get(g->head(e))); }
jacint@714:       bool operator[](const typename MapGraphWrapper::Edge& e) const {
jacint@714: 	return (dist[g->tail(e)]<dist[g->head(e)]);
jacint@714:       }
jacint@714:     };
jacint@714: 
jacint@714:   };
jacint@714: 
jacint@714: 
jacint@714:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
jacint@714:   void MaxFlowNoStack<Graph, Num, CapMap, FlowMap>::preflowPhase1(FlowEnum fe)
jacint@714:   {
jacint@714: 
jacint@714:     int heur0=(int)(H0*n);  //time while running 'bound decrease'
jacint@714:     int heur1=(int)(H1*n);  //time while running 'highest label'
jacint@714:     int heur=heur1;         //starting time interval (#of relabels)
jacint@714:     int numrelabel=0;
jacint@714: 
jacint@714:     bool what_heur=1;
jacint@714:     //It is 0 in case 'bound decrease' and 1 in case 'highest label'
jacint@714: 
jacint@714:     bool end=false;
jacint@714:     //Needed for 'bound decrease', true means no active nodes are above bound
jacint@714:     //b.
jacint@714: 
jacint@714:     int k=n-2;  //bound on the highest level under n containing a node
jacint@714:     int b=k;    //bound on the highest level under n of an active node
jacint@714: 
jacint@714:     VecFirst first(n, INVALID);
jacint@714:     NNMap next(*g, INVALID); //maybe INVALID is not needed
jacint@714:     //    VecStack active(n);
jacint@714: 
jacint@714:     NNMap left(*g, INVALID);
jacint@714:     NNMap right(*g, INVALID);
jacint@714:     VecNode level_list(n,INVALID);
jacint@714:     //List of the nodes in level i<n, set to n.
jacint@714: 
jacint@714:     NodeIt v;
jacint@714:     for(g->first(v); g->valid(v); g->next(v)) level.set(v,n);
jacint@714:     //setting each node to level n
jacint@714: 
jacint@714:     if ( fe == NO_FLOW ) {
jacint@714:       EdgeIt e;
jacint@714:       for(g->first(e); g->valid(e); g->next(e)) flow->set(e,0);
jacint@714:     }
jacint@714: 
jacint@714:     switch (fe) { //computing the excess
jacint@714:     case PRE_FLOW:
jacint@714:       {
jacint@714: 	NodeIt v;
jacint@714: 	for(g->first(v); g->valid(v); g->next(v)) {
jacint@714: 	  Num exc=0;
jacint@714: 
jacint@714: 	  InEdgeIt e;
jacint@714: 	  for(g->first(e,v); g->valid(e); g->next(e)) exc+=(*flow)[e];
jacint@714: 	  OutEdgeIt f;
jacint@714: 	  for(g->first(f,v); g->valid(f); g->next(f)) exc-=(*flow)[f];
jacint@714: 
jacint@714: 	  excess.set(v,exc);
jacint@714: 
jacint@714: 	  //putting the active nodes into the stack
jacint@714: 	  int lev=level[v];
jacint@714: 	  if ( exc > 0 && lev < n && v != t ) 
jacint@714: 	    {
jacint@714: 	      next.set(v,first[lev]);
jacint@714: 	      first[lev]=v;
jacint@714: 	    }
jacint@714: 	  //	  active[lev].push(v);
jacint@714: 	}
jacint@714: 	break;
jacint@714:       }
jacint@714:     case GEN_FLOW:
jacint@714:       {
jacint@714: 	NodeIt v;
jacint@714: 	for(g->first(v); g->valid(v); g->next(v)) excess.set(v,0);
jacint@714: 
jacint@714: 	Num exc=0;
jacint@714: 	InEdgeIt e;
jacint@714: 	for(g->first(e,t); g->valid(e); g->next(e)) exc+=(*flow)[e];
jacint@714: 	OutEdgeIt f;
jacint@714: 	for(g->first(f,t); g->valid(f); g->next(f)) exc-=(*flow)[f];
jacint@714: 	excess.set(t,exc);
jacint@714: 	break;
jacint@714:       }
jacint@714:     case ZERO_FLOW:
jacint@714:     case NO_FLOW:
jacint@714:       {
jacint@714: 	NodeIt v;
jacint@714:         for(g->first(v); g->valid(v); g->next(v)) excess.set(v,0);
jacint@714: 	break;
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     preflowPreproc(fe, next, first,/*active*/ level_list, left, right);
jacint@714:     //End of preprocessing
jacint@714: 
jacint@714: 
jacint@714:     //Push/relabel on the highest level active nodes.
jacint@714:     while ( true ) {
jacint@714:       if ( b == 0 ) {
jacint@714: 	if ( !what_heur && !end && k > 0 ) {
jacint@714: 	  b=k;
jacint@714: 	  end=true;
jacint@714: 	} else break;
jacint@714:       }
jacint@714: 
jacint@714:       if ( !g->valid(first[b])/*active[b].empty()*/ ) --b;
jacint@714:       else {
jacint@714: 	end=false;
jacint@714: 	Node w=first[b];
jacint@714: 	first[b]=next[w];
jacint@714: 	/*	Node w=active[b].top();
jacint@714: 		active[b].pop();*/
jacint@714: 	int newlevel=push(w,/*active*/next, first);
jacint@714: 	if ( excess[w] > 0 ) relabel(w, newlevel, /*active*/next, first, level_list,
jacint@714: 				     left, right, b, k, what_heur);
jacint@714: 
jacint@714: 	++numrelabel;
jacint@714: 	if ( numrelabel >= heur ) {
jacint@714: 	  numrelabel=0;
jacint@714: 	  if ( what_heur ) {
jacint@714: 	    what_heur=0;
jacint@714: 	    heur=heur0;
jacint@714: 	    end=false;
jacint@714: 	  } else {
jacint@714: 	    what_heur=1;
jacint@714: 	    heur=heur1;
jacint@714: 	    b=k;
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     status=AFTER_PRE_FLOW_PHASE_1;
jacint@714:   }
jacint@714: 
jacint@714: 
jacint@714: 
jacint@714:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
jacint@714:   void MaxFlowNoStack<Graph, Num, CapMap, FlowMap>::preflowPhase2()
jacint@714:   {
jacint@714: 
jacint@714:     int k=n-2;  //bound on the highest level under n containing a node
jacint@714:     int b=k;    //bound on the highest level under n of an active node
jacint@714: 
jacint@714:     
jacint@714:     VecFirst first(n, INVALID);
jacint@714:     NNMap next(*g, INVALID); //maybe INVALID is not needed
jacint@714:     //    VecStack active(n);
jacint@714:     level.set(s,0);
jacint@714:     std::queue<Node> bfs_queue;
jacint@714:     bfs_queue.push(s);
jacint@714: 
jacint@714:     while (!bfs_queue.empty()) {
jacint@714: 
jacint@714:       Node v=bfs_queue.front();
jacint@714:       bfs_queue.pop();
jacint@714:       int l=level[v]+1;
jacint@714: 
jacint@714:       InEdgeIt e;
jacint@714:       for(g->first(e,v); g->valid(e); g->next(e)) {
jacint@714: 	if ( (*capacity)[e] <= (*flow)[e] ) continue;
jacint@714: 	Node u=g->tail(e);
jacint@714: 	if ( level[u] >= n ) {
jacint@714: 	  bfs_queue.push(u);
jacint@714: 	  level.set(u, l);
jacint@714: 	  if ( excess[u] > 0 ) {
jacint@714: 	    next.set(u,first[l]);
jacint@714: 	    first[l]=u;
jacint@714: 	    //active[l].push(u);
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714: 
jacint@714:       OutEdgeIt f;
jacint@714:       for(g->first(f,v); g->valid(f); g->next(f)) {
jacint@714: 	if ( 0 >= (*flow)[f] ) continue;
jacint@714: 	Node u=g->head(f);
jacint@714: 	if ( level[u] >= n ) {
jacint@714: 	  bfs_queue.push(u);
jacint@714: 	  level.set(u, l);
jacint@714: 	  if ( excess[u] > 0 ) {
jacint@714: 	    next.set(u,first[l]);
jacint@714: 	    first[l]=u;
jacint@714: 	    //active[l].push(u);
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714:     }
jacint@714:     b=n-2;
jacint@714: 
jacint@714:     while ( true ) {
jacint@714: 
jacint@714:       if ( b == 0 ) break;
jacint@714: 
jacint@714:       if ( !g->valid(first[b])/*active[b].empty()*/ ) --b;
jacint@714:       else {
jacint@714: 
jacint@714: 	Node w=first[b];
jacint@714: 	first[b]=next[w];
jacint@714: 	/*	Node w=active[b].top();
jacint@714: 		active[b].pop();*/
jacint@714: 	int newlevel=push(w,next, first/*active*/);
jacint@714: 
jacint@714: 	//relabel
jacint@714: 	if ( excess[w] > 0 ) {
jacint@714: 	  level.set(w,++newlevel);
jacint@714: 	  next.set(w,first[newlevel]);
jacint@714: 	  first[newlevel]=w;
jacint@714: 	  //active[newlevel].push(w);
jacint@714: 	  b=newlevel;
jacint@714: 	}
jacint@714:       }  // if stack[b] is nonempty
jacint@714:     } // while(true)
jacint@714: 
jacint@714:     status=AFTER_PRE_FLOW_PHASE_2;
jacint@714:   }
jacint@714: 
jacint@714: 
jacint@714: 
jacint@714:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
jacint@714:   bool MaxFlowNoStack<Graph, Num, CapMap, FlowMap>::augmentOnShortestPath()
jacint@714:   {
jacint@714:     ResGW res_graph(*g, *capacity, *flow);
jacint@714:     bool _augment=false;
jacint@714: 
jacint@714:     //ReachedMap level(res_graph);
jacint@714:     FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
jacint@714:     BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
jacint@714:     bfs.pushAndSetReached(s);
jacint@714: 
jacint@714:     typename ResGW::template NodeMap<ResGWEdge> pred(res_graph);
jacint@714:     pred.set(s, INVALID);
jacint@714: 
jacint@714:     typename ResGW::template NodeMap<Num> free(res_graph);
jacint@714: 
jacint@714:     //searching for augmenting path
jacint@714:     while ( !bfs.finished() ) {
jacint@714:       ResGWOutEdgeIt e=bfs;
jacint@714:       if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
jacint@714: 	Node v=res_graph.tail(e);
jacint@714: 	Node w=res_graph.head(e);
jacint@714: 	pred.set(w, e);
jacint@714: 	if (res_graph.valid(pred[v])) {
jacint@714: 	  free.set(w, std::min(free[v], res_graph.resCap(e)));
jacint@714: 	} else {
jacint@714: 	  free.set(w, res_graph.resCap(e));
jacint@714: 	}
jacint@714: 	if (res_graph.head(e)==t) { _augment=true; break; }
jacint@714:       }
jacint@714: 
jacint@714:       ++bfs;
jacint@714:     } //end of searching augmenting path
jacint@714: 
jacint@714:     if (_augment) {
jacint@714:       Node n=t;
jacint@714:       Num augment_value=free[t];
jacint@714:       while (res_graph.valid(pred[n])) {
jacint@714: 	ResGWEdge e=pred[n];
jacint@714: 	res_graph.augment(e, augment_value);
jacint@714: 	n=res_graph.tail(e);
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     status=AFTER_AUGMENTING;
jacint@714:     return _augment;
jacint@714:   }
jacint@714: 
jacint@714: 
jacint@714:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
jacint@714:   bool MaxFlowNoStack<Graph, Num, CapMap, FlowMap>::augmentOnShortestPath2()
jacint@714:   {
jacint@714:     ResGW res_graph(*g, *capacity, *flow);
jacint@714:     bool _augment=false;
jacint@714: 
jacint@714:     if (status!=AFTER_FAST_AUGMENTING) {
jacint@714:       FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0); 
jacint@714:       number_of_augmentations=1;
jacint@714:     } else {
jacint@714:       ++number_of_augmentations;
jacint@714:     }
jacint@714:     TrickyReachedMap<ReachedMap> 
jacint@714:       tricky_reached_map(level, number_of_augmentations);
jacint@714:     //ReachedMap level(res_graph);
jacint@714: //    FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
jacint@714:     BfsIterator<ResGW, TrickyReachedMap<ReachedMap> > 
jacint@714:       bfs(res_graph, tricky_reached_map);
jacint@714:     bfs.pushAndSetReached(s);
jacint@714: 
jacint@714:     typename ResGW::template NodeMap<ResGWEdge> pred(res_graph);
jacint@714:     pred.set(s, INVALID);
jacint@714: 
jacint@714:     typename ResGW::template NodeMap<Num> free(res_graph);
jacint@714: 
jacint@714:     //searching for augmenting path
jacint@714:     while ( !bfs.finished() ) {
jacint@714:       ResGWOutEdgeIt e=bfs;
jacint@714:       if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
jacint@714: 	Node v=res_graph.tail(e);
jacint@714: 	Node w=res_graph.head(e);
jacint@714: 	pred.set(w, e);
jacint@714: 	if (res_graph.valid(pred[v])) {
jacint@714: 	  free.set(w, std::min(free[v], res_graph.resCap(e)));
jacint@714: 	} else {
jacint@714: 	  free.set(w, res_graph.resCap(e));
jacint@714: 	}
jacint@714: 	if (res_graph.head(e)==t) { _augment=true; break; }
jacint@714:       }
jacint@714: 
jacint@714:       ++bfs;
jacint@714:     } //end of searching augmenting path
jacint@714: 
jacint@714:     if (_augment) {
jacint@714:       Node n=t;
jacint@714:       Num augment_value=free[t];
jacint@714:       while (res_graph.valid(pred[n])) {
jacint@714: 	ResGWEdge e=pred[n];
jacint@714: 	res_graph.augment(e, augment_value);
jacint@714: 	n=res_graph.tail(e);
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     status=AFTER_FAST_AUGMENTING;
jacint@714:     return _augment;
jacint@714:   }
jacint@714: 
jacint@714: 
jacint@714:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
jacint@714:   template<typename MutableGraph>
jacint@714:   bool MaxFlowNoStack<Graph, Num, CapMap, FlowMap>::augmentOnBlockingFlow()
jacint@714:   {
jacint@714:     typedef MutableGraph MG;
jacint@714:     bool _augment=false;
jacint@714: 
jacint@714:     ResGW res_graph(*g, *capacity, *flow);
jacint@714: 
jacint@714:     //bfs for distances on the residual graph
jacint@714:     //ReachedMap level(res_graph);
jacint@714:     FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
jacint@714:     BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
jacint@714:     bfs.pushAndSetReached(s);
jacint@714:     typename ResGW::template NodeMap<int>
jacint@714:       dist(res_graph); //filled up with 0's
jacint@714: 
jacint@714:     //F will contain the physical copy of the residual graph
jacint@714:     //with the set of edges which are on shortest paths
jacint@714:     MG F;
jacint@714:     typename ResGW::template NodeMap<typename MG::Node>
jacint@714:       res_graph_to_F(res_graph);
jacint@714:     {
jacint@714:       typename ResGW::NodeIt n;
jacint@714:       for(res_graph.first(n); res_graph.valid(n); res_graph.next(n)) {
jacint@714: 	res_graph_to_F.set(n, F.addNode());
jacint@714:       }
jacint@714:     }
jacint@714: 
jacint@714:     typename MG::Node sF=res_graph_to_F[s];
jacint@714:     typename MG::Node tF=res_graph_to_F[t];
jacint@714:     typename MG::template EdgeMap<ResGWEdge> original_edge(F);
jacint@714:     typename MG::template EdgeMap<Num> residual_capacity(F);
jacint@714: 
jacint@714:     while ( !bfs.finished() ) {
jacint@714:       ResGWOutEdgeIt e=bfs;
jacint@714:       if (res_graph.valid(e)) {
jacint@714: 	if (bfs.isBNodeNewlyReached()) {
jacint@714: 	  dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
jacint@714: 	  typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)],
jacint@714: 					res_graph_to_F[res_graph.head(e)]);
jacint@714: 	  original_edge.update();
jacint@714: 	  original_edge.set(f, e);
jacint@714: 	  residual_capacity.update();
jacint@714: 	  residual_capacity.set(f, res_graph.resCap(e));
jacint@714: 	} else {
jacint@714: 	  if (dist[res_graph.head(e)]==(dist[res_graph.tail(e)]+1)) {
jacint@714: 	    typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)],
jacint@714: 					  res_graph_to_F[res_graph.head(e)]);
jacint@714: 	    original_edge.update();
jacint@714: 	    original_edge.set(f, e);
jacint@714: 	    residual_capacity.update();
jacint@714: 	    residual_capacity.set(f, res_graph.resCap(e));
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714:       ++bfs;
jacint@714:     } //computing distances from s in the residual graph
jacint@714: 
jacint@714:     bool __augment=true;
jacint@714: 
jacint@714:     while (__augment) {
jacint@714:       __augment=false;
jacint@714:       //computing blocking flow with dfs
jacint@714:       DfsIterator< MG, typename MG::template NodeMap<bool> > dfs(F);
jacint@714:       typename MG::template NodeMap<typename MG::Edge> pred(F);
jacint@714:       pred.set(sF, INVALID);
jacint@714:       //invalid iterators for sources
jacint@714: 
jacint@714:       typename MG::template NodeMap<Num> free(F);
jacint@714: 
jacint@714:       dfs.pushAndSetReached(sF);
jacint@714:       while (!dfs.finished()) {
jacint@714: 	++dfs;
jacint@714: 	if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) {
jacint@714: 	  if (dfs.isBNodeNewlyReached()) {
jacint@714: 	    typename MG::Node v=F.aNode(dfs);
jacint@714: 	    typename MG::Node w=F.bNode(dfs);
jacint@714: 	    pred.set(w, dfs);
jacint@714: 	    if (F.valid(pred[v])) {
jacint@714: 	      free.set(w, std::min(free[v], residual_capacity[dfs]));
jacint@714: 	    } else {
jacint@714: 	      free.set(w, residual_capacity[dfs]);
jacint@714: 	    }
jacint@714: 	    if (w==tF) {
jacint@714: 	      __augment=true;
jacint@714: 	      _augment=true;
jacint@714: 	      break;
jacint@714: 	    }
jacint@714: 
jacint@714: 	  } else {
jacint@714: 	    F.erase(/*typename MG::OutEdgeIt*/(dfs));
jacint@714: 	  }
jacint@714: 	}
jacint@714:       }
jacint@714: 
jacint@714:       if (__augment) {
jacint@714: 	typename MG::Node n=tF;
jacint@714: 	Num augment_value=free[tF];
jacint@714: 	while (F.valid(pred[n])) {
jacint@714: 	  typename MG::Edge e=pred[n];
jacint@714: 	  res_graph.augment(original_edge[e], augment_value);
jacint@714: 	  n=F.tail(e);
jacint@714: 	  if (residual_capacity[e]==augment_value)
jacint@714: 	    F.erase(e);
jacint@714: 	  else
jacint@714: 	    residual_capacity.set(e, residual_capacity[e]-augment_value);
jacint@714: 	}
jacint@714:       }
jacint@714: 
jacint@714:     }
jacint@714: 
jacint@714:     status=AFTER_AUGMENTING;
jacint@714:     return _augment;
jacint@714:   }
jacint@714: 
jacint@714: 
jacint@714: 
jacint@714: 
jacint@714:   template <typename Graph, typename Num, typename CapMap, typename FlowMap>
jacint@714:   bool MaxFlowNoStack<Graph, Num, CapMap, FlowMap>::augmentOnBlockingFlow2()
jacint@714:   {
jacint@714:     bool _augment=false;
jacint@714: 
jacint@714:     ResGW res_graph(*g, *capacity, *flow);
jacint@714: 
jacint@714:     //ReachedMap level(res_graph);
jacint@714:     FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0);
jacint@714:     BfsIterator<ResGW, ReachedMap> bfs(res_graph, level);
jacint@714: 
jacint@714:     bfs.pushAndSetReached(s);
jacint@714:     DistanceMap<ResGW> dist(res_graph);
jacint@714:     while ( !bfs.finished() ) {
jacint@714:       ResGWOutEdgeIt e=bfs;
jacint@714:       if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) {
jacint@714: 	dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1);
jacint@714:       }
jacint@714:       ++bfs;
jacint@714:     } //computing distances from s in the residual graph
jacint@714: 
jacint@714:       //Subgraph containing the edges on some shortest paths
jacint@714:     ConstMap<typename ResGW::Node, bool> true_map(true);
jacint@714:     typedef SubGraphWrapper<ResGW, ConstMap<typename ResGW::Node, bool>,
jacint@714:       DistanceMap<ResGW> > FilterResGW;
jacint@714:     FilterResGW filter_res_graph(res_graph, true_map, dist);
jacint@714: 
jacint@714:     //Subgraph, which is able to delete edges which are already
jacint@714:     //met by the dfs
jacint@714:     typename FilterResGW::template NodeMap<typename FilterResGW::OutEdgeIt>
jacint@714:       first_out_edges(filter_res_graph);
jacint@714:     typename FilterResGW::NodeIt v;
jacint@714:     for(filter_res_graph.first(v); filter_res_graph.valid(v);
jacint@714: 	filter_res_graph.next(v))
jacint@714:       {
jacint@714:  	typename FilterResGW::OutEdgeIt e;
jacint@714:  	filter_res_graph.first(e, v);
jacint@714:  	first_out_edges.set(v, e);
jacint@714:       }
jacint@714:     typedef ErasingFirstGraphWrapper<FilterResGW, typename FilterResGW::
jacint@714:       template NodeMap<typename FilterResGW::OutEdgeIt> > ErasingResGW;
jacint@714:     ErasingResGW erasing_res_graph(filter_res_graph, first_out_edges);
jacint@714: 
jacint@714:     bool __augment=true;
jacint@714: 
jacint@714:     while (__augment) {
jacint@714: 
jacint@714:       __augment=false;
jacint@714:       //computing blocking flow with dfs
jacint@714:       DfsIterator< ErasingResGW,
jacint@714: 	typename ErasingResGW::template NodeMap<bool> >
jacint@714: 	dfs(erasing_res_graph);
jacint@714:       typename ErasingResGW::
jacint@714: 	template NodeMap<typename ErasingResGW::OutEdgeIt>
jacint@714: 	pred(erasing_res_graph);
jacint@714:       pred.set(s, INVALID);
jacint@714:       //invalid iterators for sources
jacint@714: 
jacint@714:       typename ErasingResGW::template NodeMap<Num>
jacint@714: 	free1(erasing_res_graph);
jacint@714: 
jacint@714:       dfs.pushAndSetReached
jacint@714: 	///\bug hugo 0.2
jacint@714: 	(typename ErasingResGW::Node
jacint@714: 	 (typename FilterResGW::Node
jacint@714: 	  (typename ResGW::Node(s)
jacint@714: 	   )
jacint@714: 	  )
jacint@714: 	 );
jacint@714:       while (!dfs.finished()) {
jacint@714: 	++dfs;
jacint@714: 	if (erasing_res_graph.valid(typename ErasingResGW::OutEdgeIt(dfs)))
jacint@714:  	  {
jacint@714:   	    if (dfs.isBNodeNewlyReached()) {
jacint@714: 
jacint@714:  	      typename ErasingResGW::Node v=erasing_res_graph.aNode(dfs);
jacint@714:  	      typename ErasingResGW::Node w=erasing_res_graph.bNode(dfs);
jacint@714: 
jacint@714:  	      pred.set(w, /*typename ErasingResGW::OutEdgeIt*/(dfs));
jacint@714:  	      if (erasing_res_graph.valid(pred[v])) {
jacint@714:  		free1.set
jacint@714: 		  (w, std::min(free1[v], res_graph.resCap
jacint@714: 			       (typename ErasingResGW::OutEdgeIt(dfs))));
jacint@714:  	      } else {
jacint@714:  		free1.set
jacint@714: 		  (w, res_graph.resCap
jacint@714: 		   (typename ErasingResGW::OutEdgeIt(dfs)));
jacint@714:  	      }
jacint@714: 
jacint@714:  	      if (w==t) {
jacint@714:  		__augment=true;
jacint@714:  		_augment=true;
jacint@714:  		break;
jacint@714:  	      }
jacint@714:  	    } else {
jacint@714:  	      erasing_res_graph.erase(dfs);
jacint@714: 	    }
jacint@714: 	  }
jacint@714:       }
jacint@714: 
jacint@714:       if (__augment) {
jacint@714: 	typename ErasingResGW::Node
jacint@714: 	  n=typename FilterResGW::Node(typename ResGW::Node(t));
jacint@714: 	// 	  typename ResGW::NodeMap<Num> a(res_graph);
jacint@714: 	// 	  typename ResGW::Node b;
jacint@714: 	// 	  Num j=a[b];
jacint@714: 	// 	  typename FilterResGW::NodeMap<Num> a1(filter_res_graph);
jacint@714: 	// 	  typename FilterResGW::Node b1;
jacint@714: 	// 	  Num j1=a1[b1];
jacint@714: 	// 	  typename ErasingResGW::NodeMap<Num> a2(erasing_res_graph);
jacint@714: 	// 	  typename ErasingResGW::Node b2;
jacint@714: 	// 	  Num j2=a2[b2];
jacint@714: 	Num augment_value=free1[n];
jacint@714: 	while (erasing_res_graph.valid(pred[n])) {
jacint@714: 	  typename ErasingResGW::OutEdgeIt e=pred[n];
jacint@714: 	  res_graph.augment(e, augment_value);
jacint@714: 	  n=erasing_res_graph.tail(e);
jacint@714: 	  if (res_graph.resCap(e)==0)
jacint@714: 	    erasing_res_graph.erase(e);
jacint@714: 	}
jacint@714:       }
jacint@714: 
jacint@714:     } //while (__augment)
jacint@714: 
jacint@714:     status=AFTER_AUGMENTING;
jacint@714:     return _augment;
jacint@714:   }
jacint@714: 
jacint@714: 
jacint@714: } //namespace hugo
jacint@714: 
jacint@714: #endif //HUGO_MAX_FLOW_H
jacint@714: 
jacint@714: 
jacint@714: 
jacint@714: