# HG changeset patch # User marci # Date 1084305021 0 # Node ID b6b31b75b522ab982c882d440bc25a9a0d8eb10e # Parent 75cf1d52eee588491ffb3d52bf1a688642b49f1c docs, max_flow improvments diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/Doxyfile --- a/src/work/Doxyfile Tue May 11 19:38:00 2004 +0000 +++ b/src/work/Doxyfile Tue May 11 19:50:21 2004 +0000 @@ -394,7 +394,6 @@ INPUT = ../hugo \ ../hugo/skeletons \ ../test/test_tools.h \ - athos/minlengthpaths.h \ klao/path.h \ jacint/max_flow.h \ jacint/max_matching.h \ diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/jacint/max_flow.h --- a/src/work/jacint/max_flow.h Tue May 11 19:38:00 2004 +0000 +++ b/src/work/jacint/max_flow.h Tue May 11 19:50:21 2004 +0000 @@ -1,19 +1,19 @@ // -*- C++ -*- /* - Heuristics: + Heuristics: 2 phase gap list 'level_list' on the nodes on level i implemented by hand stack 'active' on the active nodes on level i runs heuristic 'highest label' for H1*n relabels runs heuristic 'bound decrease' for H0*n relabels, starts with 'highest label' - + Parameters H0 and H1 are initialized to 20 and 1. Constructors: - Preflow(Graph, Node, Node, CapMap, FlowMap, bool) : bool must be false if + Preflow(Graph, Node, Node, CapMap, FlowMap, bool) : bool must be false if FlowMap is not constant zero, and should be true if it is Members: @@ -22,13 +22,13 @@ Num flowValue() : returns the value of a maximum flow - void minMinCut(CutMap& M) : sets M to the characteristic vector of the + void minMinCut(CutMap& M) : sets M to the characteristic vector of the minimum min cut. M should be a map of bools initialized to false. ??Is it OK? - void maxMinCut(CutMap& M) : sets M to the characteristic vector of the + void maxMinCut(CutMap& M) : sets M to the characteristic vector of the maximum min cut. M should be a map of bools initialized to false. - void minCut(CutMap& M) : sets M to the characteristic vector of + void minCut(CutMap& M) : sets M to the characteristic vector of a min cut. M should be a map of bools initialized to false. */ @@ -36,9 +36,6 @@ #ifndef HUGO_MAX_FLOW_H #define HUGO_MAX_FLOW_H -#define H0 20 -#define H1 1 - #include #include #include @@ -50,18 +47,20 @@ #include /// \file -/// \brief Dimacs file format reader. +/// \brief Maximum flows. +/// \ingroup galgs namespace hugo { // ///\author Marton Makai, Jacint Szabo /// A class for computing max flows and related quantities. - template , + /// \ingroup galgs + template , typename FlowMap=typename Graph::template EdgeMap > class MaxFlow { - + protected: typedef typename Graph::Node Node; typedef typename Graph::NodeIt NodeIt; typedef typename Graph::OutEdgeIt OutEdgeIt; @@ -74,7 +73,7 @@ const Graph* g; Node s; Node t; - const CapMap* capacity; + const CapMap* capacity; FlowMap* flow; int n; //the number of nodes of G typedef ResGraphWrapper ResGW; @@ -83,98 +82,107 @@ //typedef typename ResGW::template NodeMap ReachedMap; typedef typename Graph::template NodeMap ReachedMap; ReachedMap level; - //level works as a bool map in augmenting path algorithms + //level works as a bool map in augmenting path algorithms //and is used by bfs for storing reached information. //In preflow, it shows levels of nodes. - //typename Graph::template NodeMap level; - typename Graph::template NodeMap excess; + //typename Graph::template NodeMap level; + typename Graph::template NodeMap excess; // protected: // MaxFlow() { } - // void set(const Graph& _G, Node _s, Node _t, const CapMap& _capacity, - // FlowMap& _flow) + // void set(const Graph& _G, Node _s, Node _t, const CapMap& _capacity, + // FlowMap& _flow) // { - // g=&_G; - // s=_s; - // t=_t; + // g=&_G; + // s=_s; + // t=_t; // capacity=&_capacity; // flow=&_flow; // n=_G.nodeNum; - // level.set (_G); //kellene vmi ilyesmi fv + // level.set (_G); //kellene vmi ilyesmi fv // excess(_G,0); //itt is // } + // constants used for heuristics + static const int H0=20; + static const int H1=1; + public: - + ///\todo Document this. ///\todo Maybe, it should be PRE_FLOW instead. + ///- \c NO_FLOW means nothing, ///- \c ZERO_FLOW means something, ///- \c GEN_FLOW means something else, - ///- \c PREFLOW is something different. + ///- \c PRE_FLOW is something different. enum flowEnum{ - ZERO_FLOW=0, - GEN_FLOW=1, - PREFLOW=2 + ZERO_FLOW, + GEN_FLOW, + PRE_FLOW, + NO_FLOW }; - MaxFlow(const Graph& _G, Node _s, Node _t, const CapMap& _capacity, + MaxFlow(const Graph& _G, Node _s, Node _t, const CapMap& _capacity, FlowMap& _flow) : - g(&_G), s(_s), t(_t), capacity(&_capacity), + g(&_G), s(_s), t(_t), capacity(&_capacity), flow(&_flow), n(_G.nodeNum()), level(_G), excess(_G,0) {} /// A max flow algorithm is run. - ///\pre the flow have to be 0 at the beginning. - void run() { - preflow(ZERO_FLOW); + /// \pre The flow have to satisfy the requirements + /// stated in fe. + void run(flowEnum fe=ZERO_FLOW) { + preflow(fe); } - - /// A preflow algorithm is run. - ///\pre The initial edge-map have to be a + + /// A preflow algorithm is run. + /// \pre The initial edge-map have to be a /// zero flow if \c fe is \c ZERO_FLOW, - /// a flow if \c fe is \c GEN_FLOW, - /// and a pre-flow it is \c PREFLOW. + /// a flow if \c fe is \c GEN_FLOW, + /// a pre-flow if fe is \c PRE_FLOW and + /// anything if fe is NO_FLOW. void preflow(flowEnum fe) { preflowPhase0(fe); preflowPhase1(); } - /// Run the first phase of preflow, starting from a 0 flow, from a flow, - /// or from a preflow, according to \c fe. - void preflowPhase0( flowEnum fe ); + /// Run the first phase of preflow, starting from a 0 flow, from a flow, + /// or from a preflow, of from undefined value according to \c fe. + void preflowPhase0(flowEnum fe); /// Second phase of preflow. void preflowPhase1(); - /// Starting from a flow, this method searches for an augmenting path - /// according to the Edmonds-Karp algorithm - /// and augments the flow on if any. + /// Starting from a flow, this method searches for an augmenting path + /// according to the Edmonds-Karp algorithm + /// and augments the flow on if any. /// The return value shows if the augmentation was succesful. bool augmentOnShortestPath(); - /// Starting from a flow, this method searches for an augmenting blockin - /// flow according to Dinits' algorithm and augments the flow on if any. - /// The blocking flow is computed in a physically constructed + /// Starting from a flow, this method searches for an augmenting blocking + /// flow according to Dinits' algorithm and augments the flow on if any. + /// The blocking flow is computed in a physically constructed /// residual graph of type \c Mutablegraph. /// The return value show sif the augmentation was succesful. template bool augmentOnBlockingFlow(); - /// The same as \c augmentOnBlockingFlow but the + /// The same as \c augmentOnBlockingFlow but the /// residual graph is not constructed physically. /// The return value shows if the augmentation was succesful. bool augmentOnBlockingFlow2(); /// Returns the actual flow value. - /// More precisely, it returns the negative excess of s, thus + /// More precisely, it returns the negative excess of s, thus /// this works also for preflows. - Num flowValue() { + Num flowValue() { Num a=0; - FOR_EACH_INC_LOC(OutEdgeIt, e, *g, s) a+=(*flow)[e]; - FOR_EACH_INC_LOC(InEdgeIt, e, *g, s) a-=(*flow)[e]; + FOR_EACH_INC_LOC(InEdgeIt, e, *g, t) a+=(*flow)[e]; + FOR_EACH_INC_LOC(OutEdgeIt, e, *g, t) a-=(*flow)[e]; return a; } /// Should be used between preflowPhase0 and preflowPhase1. - ///\todo We have to make some status variable which shows the actual state - /// of the class. This enables us to determine which methods are valid + /// \todo We have to make some status variable which shows the + /// actual state + /// of the class. This enables us to determine which methods are valid /// for MinCut computation template void actMinCut(_CutMap& M) { @@ -188,15 +196,15 @@ } } - /// The unique inclusionwise minimum cut is computed by + /// The unique inclusionwise minimum cut is computed by /// processing a bfs from s in the residual graph. - ///\pre flow have to be a max flow otherwise it will the whole node-set. + /// \pre flow have to be a max flow otherwise it will the whole node-set. template void minMinCut(_CutMap& M) { - + std::queue queue; - - M.set(s,true); + + M.set(s,true); queue.push(s); while (!queue.empty()) { @@ -210,7 +218,7 @@ queue.push(v); M.set(v, true); } - } + } InEdgeIt f; for(g->first(f,w) ; g->valid(f); g->next(f)) { @@ -219,14 +227,14 @@ queue.push(v); M.set(v, true); } - } + } } } - /// The unique inclusionwise maximum cut is computed by + /// The unique inclusionwise maximum cut is computed by /// processing a reverse bfs from t in the residual graph. - ///\pre flow have to be a max flow otherwise it will be empty. + /// \pre flow have to be a max flow otherwise it will be empty. template void maxMinCut(_CutMap& M) { @@ -236,15 +244,14 @@ } std::queue queue; - - M.set(t,false); + + M.set(t,false); queue.push(t); while (!queue.empty()) { Node w=queue.front(); queue.pop(); - InEdgeIt e; for(g->first(e,w) ; g->valid(e); g->next(e)) { Node v=g->tail(e); @@ -253,7 +260,7 @@ M.set(v, false); } } - + OutEdgeIt f; for(g->first(f,w) ; g->valid(f); g->next(f)) { Node v=g->head(f); @@ -274,112 +281,111 @@ void resetSource(Node _s) { s=_s; } /// void resetTarget(Node _t) { t=_t; } - + /// capacity-map is changed. void resetCap(const CapMap& _cap) { capacity=&_cap; } - - /// flow-map is changed. + + /// flow-map is changed. void resetFlow(FlowMap& _flow) { flow=&_flow; } private: int push(Node w, VecStack& active) { - + int lev=level[w]; Num exc=excess[w]; int newlevel=n; //bound on the next level of w - + OutEdgeIt e; for(g->first(e,w); g->valid(e); g->next(e)) { - - if ( (*flow)[e] >= (*capacity)[e] ) continue; - Node v=g->head(e); - + + if ( (*flow)[e] >= (*capacity)[e] ) continue; + Node v=g->head(e); + if( lev > level[v] ) { //Push is allowed now - + if ( excess[v]<=0 && v!=t && v!=s ) { int lev_v=level[v]; active[lev_v].push(v); } - + Num cap=(*capacity)[e]; Num flo=(*flow)[e]; Num remcap=cap-flo; - + if ( remcap >= exc ) { //A nonsaturating push. - + flow->set(e, flo+exc); excess.set(v, excess[v]+exc); exc=0; - break; - + break; + } else { //A saturating push. flow->set(e, cap); excess.set(v, excess[v]+remcap); exc-=remcap; } } else if ( newlevel > level[v] ) newlevel = level[v]; - } //for out edges wv - - if ( exc > 0 ) { + } //for out edges wv + + if ( exc > 0 ) { InEdgeIt e; for(g->first(e,w); g->valid(e); g->next(e)) { - - if( (*flow)[e] <= 0 ) continue; - Node v=g->tail(e); - + + if( (*flow)[e] <= 0 ) continue; + Node v=g->tail(e); + if( lev > level[v] ) { //Push is allowed now - + if ( excess[v]<=0 && v!=t && v!=s ) { int lev_v=level[v]; active[lev_v].push(v); } - + Num flo=(*flow)[e]; - + if ( flo >= exc ) { //A nonsaturating push. - + flow->set(e, flo-exc); excess.set(v, excess[v]+exc); exc=0; - break; + break; } else { //A saturating push. - + excess.set(v, excess[v]+flo); exc-=flo; flow->set(e,0); - } + } } else if ( newlevel > level[v] ) newlevel = level[v]; } //for in edges vw - + } // if w still has excess after the out edge for cycle - + excess.set(w, exc); - + return newlevel; } - void preflowPreproc ( flowEnum fe, VecStack& active, - VecNode& level_list, NNMap& left, NNMap& right ) + void preflowPreproc(flowEnum fe, VecStack& active, + VecNode& level_list, NNMap& left, NNMap& right) { + std::queue bfs_queue; - std::queue bfs_queue; - - switch ( fe ) { - case ZERO_FLOW: + switch (fe) { + case ZERO_FLOW: { //Reverse_bfs from t, to find the starting level. level.set(t,0); bfs_queue.push(t); - + while (!bfs_queue.empty()) { - - Node v=bfs_queue.front(); + + Node v=bfs_queue.front(); bfs_queue.pop(); int l=level[v]+1; - + InEdgeIt e; for(g->first(e,v); g->valid(e); g->next(e)) { Node w=g->tail(e); @@ -393,37 +399,37 @@ } } } - + //the starting flow OutEdgeIt e; - for(g->first(e,s); g->valid(e); g->next(e)) + for(g->first(e,s); g->valid(e); g->next(e)) { Num c=(*capacity)[e]; if ( c <= 0 ) continue; Node w=g->head(e); - if ( level[w] < n ) { + if ( level[w] < n ) { if ( excess[w] <= 0 && w!=t ) active[level[w]].push(w); - flow->set(e, c); + flow->set(e, c); excess.set(w, excess[w]+c); } } break; } - + case GEN_FLOW: - case PREFLOW: + case PRE_FLOW: { - //Reverse_bfs from t in the residual graph, + //Reverse_bfs from t in the residual graph, //to find the starting level. level.set(t,0); bfs_queue.push(t); - + while (!bfs_queue.empty()) { - - Node v=bfs_queue.front(); + + Node v=bfs_queue.front(); bfs_queue.pop(); int l=level[v]+1; - + InEdgeIt e; for(g->first(e,v); g->valid(e); g->next(e)) { if ( (*capacity)[e] <= (*flow)[e] ) continue; @@ -437,7 +443,7 @@ level.set(w, l); } } - + OutEdgeIt f; for(g->first(f,v); g->valid(f); g->next(f)) { if ( 0 >= (*flow)[f] ) continue; @@ -452,70 +458,70 @@ } } } - - + + //the starting flow OutEdgeIt e; - for(g->first(e,s); g->valid(e); g->next(e)) + for(g->first(e,s); g->valid(e); g->next(e)) { Num rem=(*capacity)[e]-(*flow)[e]; if ( rem <= 0 ) continue; Node w=g->head(e); - if ( level[w] < n ) { + if ( level[w] < n ) { if ( excess[w] <= 0 && w!=t ) active[level[w]].push(w); - flow->set(e, (*capacity)[e]); + flow->set(e, (*capacity)[e]); excess.set(w, excess[w]+rem); } } - + InEdgeIt f; - for(g->first(f,s); g->valid(f); g->next(f)) + for(g->first(f,s); g->valid(f); g->next(f)) { if ( (*flow)[f] <= 0 ) continue; Node w=g->tail(f); - if ( level[w] < n ) { + if ( level[w] < n ) { if ( excess[w] <= 0 && w!=t ) active[level[w]].push(w); excess.set(w, excess[w]+(*flow)[f]); - flow->set(f, 0); + flow->set(f, 0); } - } + } break; - } //case PREFLOW + } //case PRE_FLOW } } //preflowPreproc - void relabel(Node w, int newlevel, VecStack& active, - VecNode& level_list, NNMap& left, - NNMap& right, int& b, int& k, bool what_heur ) + void relabel(Node w, int newlevel, VecStack& active, + VecNode& level_list, NNMap& left, + NNMap& right, int& b, int& k, bool what_heur ) { - Num lev=level[w]; - + Num lev=level[w]; + Node right_n=right[w]; Node left_n=left[w]; - + //unlacing starts if ( g->valid(right_n) ) { if ( g->valid(left_n) ) { right.set(left_n, right_n); left.set(right_n, left_n); } else { - level_list[lev]=right_n; + level_list[lev]=right_n; left.set(right_n, INVALID); - } + } } else { if ( g->valid(left_n) ) { right.set(left_n, INVALID); - } else { - level_list[lev]=INVALID; - } - } + } else { + level_list[lev]=INVALID; + } + } //unlacing ends - + if ( !g->valid(level_list[lev]) ) { - + //gapping starts for (int i=lev; i!=k ; ) { Node v=level_list[++i]; @@ -528,17 +534,17 @@ while ( !active[i].empty() ) { active[i].pop(); //FIXME: ezt szebben kene } - } + } } - + level.set(w,n); b=lev-1; k=b; //gapping ends - + } else { - - if ( newlevel == n ) level.set(w,n); + + if ( newlevel == n ) level.set(w,n); else { level.set(w,++newlevel); active[newlevel].push(w); @@ -551,54 +557,55 @@ level_list[newlevel]=w; } } - + } //relabel - template + template class DistanceMap { protected: const MapGraphWrapper* g; - typename MapGraphWrapper::template NodeMap dist; + typename MapGraphWrapper::template NodeMap dist; public: DistanceMap(MapGraphWrapper& _g) : g(&_g), dist(*g, g->nodeNum()) { } - void set(const typename MapGraphWrapper::Node& n, int a) { - dist.set(n, a); + void set(const typename MapGraphWrapper::Node& n, int a) { + dist.set(n, a); } - int operator[](const typename MapGraphWrapper::Node& n) + int operator[](const typename MapGraphWrapper::Node& n) { return dist[n]; } - // int get(const typename MapGraphWrapper::Node& n) const { + // int get(const typename MapGraphWrapper::Node& n) const { // return dist[n]; } - // bool get(const typename MapGraphWrapper::Edge& e) const { + // bool get(const typename MapGraphWrapper::Edge& e) const { // return (dist.get(g->tail(e))head(e))); } - bool operator[](const typename MapGraphWrapper::Edge& e) const { - return (dist[g->tail(e)]head(e)]); + bool operator[](const typename MapGraphWrapper::Edge& e) const { + return (dist[g->tail(e)]head(e)]); } }; - + }; template - void MaxFlow::preflowPhase0( flowEnum fe ) + void MaxFlow::preflowPhase0( flowEnum fe ) { - - int heur0=(int)(H0*n); //time while running 'bound decrease' + + int heur0=(int)(H0*n); //time while running 'bound decrease' int heur1=(int)(H1*n); //time while running 'highest label' int heur=heur1; //starting time interval (#of relabels) int numrelabel=0; - - bool what_heur=1; + + bool what_heur=1; //It is 0 in case 'bound decrease' and 1 in case 'highest label' - bool end=false; - //Needed for 'bound decrease', true means no active nodes are above bound b. + bool end=false; + //Needed for 'bound decrease', true means no active nodes are above bound + //b. int k=n-2; //bound on the highest level under n containing a node int b=k; //bound on the highest level under n of an active node - + VecStack active(n); - + NNMap left(*g, INVALID); NNMap right(*g, INVALID); VecNode level_list(n,INVALID); @@ -607,22 +614,22 @@ NodeIt v; for(g->first(v); g->valid(v); g->next(v)) level.set(v,n); //setting each node to level n - - switch ( fe ) { - case PREFLOW: + + switch (fe) { + case PRE_FLOW: { - //counting the excess + //computing the excess NodeIt v; for(g->first(v); g->valid(v); g->next(v)) { Num exc=0; - + InEdgeIt e; for(g->first(e,v); g->valid(e); g->next(e)) exc+=(*flow)[e]; OutEdgeIt f; for(g->first(f,v); g->valid(f); g->next(f)) exc-=(*flow)[f]; - - excess.set(v,exc); - + + excess.set(v,exc); + //putting the active nodes into the stack int lev=level[v]; if ( exc > 0 && lev < n && v != t ) active[lev].push(v); @@ -631,26 +638,25 @@ } case GEN_FLOW: { - //Counting the excess of t + //computing the excess of t Num exc=0; - + InEdgeIt e; for(g->first(e,t); g->valid(e); g->next(e)) exc+=(*flow)[e]; OutEdgeIt f; for(g->first(f,t); g->valid(f); g->next(f)) exc-=(*flow)[f]; - - excess.set(t,exc); - + + excess.set(t,exc); + break; } - default: - break; + default:; } - - preflowPreproc( fe, active, level_list, left, right ); - //End of preprocessing - - + + preflowPreproc(fe, active, level_list, left, right); + //End of preprocessing + + //Push/relabel on the highest level active nodes. while ( true ) { if ( b == 0 ) { @@ -659,17 +665,17 @@ end=true; } else break; } - - if ( active[b].empty() ) --b; + + if ( active[b].empty() ) --b; else { - end=false; + end=false; Node w=active[b].top(); active[b].pop(); int newlevel=push(w,active); - if ( excess[w] > 0 ) relabel(w, newlevel, active, level_list, + if ( excess[w] > 0 ) relabel(w, newlevel, active, level_list, left, right, b, k, what_heur); - - ++numrelabel; + + ++numrelabel; if ( numrelabel >= heur ) { numrelabel=0; if ( what_heur ) { @@ -679,49 +685,49 @@ } else { what_heur=1; heur=heur1; - b=k; + b=k; } } - } - } + } + } } template - void MaxFlow::preflowPhase1() + void MaxFlow::preflowPhase1() { - + int k=n-2; //bound on the highest level under n containing a node int b=k; //bound on the highest level under n of an active node - + VecStack active(n); level.set(s,0); std::queue bfs_queue; bfs_queue.push(s); - + while (!bfs_queue.empty()) { - - Node v=bfs_queue.front(); + + Node v=bfs_queue.front(); bfs_queue.pop(); int l=level[v]+1; - + InEdgeIt e; for(g->first(e,v); g->valid(e); g->next(e)) { if ( (*capacity)[e] <= (*flow)[e] ) continue; Node u=g->tail(e); - if ( level[u] >= n ) { + if ( level[u] >= n ) { bfs_queue.push(u); level.set(u, l); if ( excess[u] > 0 ) active[l].push(u); } } - + OutEdgeIt f; for(g->first(f,v); g->valid(f); g->next(f)) { if ( 0 >= (*flow)[f] ) continue; Node u=g->head(f); - if ( level[u] >= n ) { + if ( level[u] >= n ) { bfs_queue.push(u); level.set(u, l); if ( excess[u] > 0 ) active[l].push(u); @@ -731,14 +737,14 @@ b=n-2; while ( true ) { - + if ( b == 0 ) break; - if ( active[b].empty() ) --b; + if ( active[b].empty() ) --b; else { Node w=active[b].top(); active[b].pop(); - int newlevel=push(w,active); + int newlevel=push(w,active); //relabel if ( excess[w] > 0 ) { @@ -753,23 +759,23 @@ template - bool MaxFlow::augmentOnShortestPath() + bool MaxFlow::augmentOnShortestPath() { ResGW res_graph(*g, *capacity, *flow); bool _augment=false; - + //ReachedMap level(res_graph); FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0); BfsIterator bfs(res_graph, level); bfs.pushAndSetReached(s); - - typename ResGW::template NodeMap pred(res_graph); + + typename ResGW::template NodeMap pred(res_graph); pred.set(s, INVALID); - + typename ResGW::template NodeMap free(res_graph); - + //searching for augmenting path - while ( !bfs.finished() ) { + while ( !bfs.finished() ) { ResGWOutEdgeIt e=bfs; if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) { Node v=res_graph.tail(e); @@ -778,20 +784,20 @@ if (res_graph.valid(pred[v])) { free.set(w, std::min(free[v], res_graph.resCap(e))); } else { - free.set(w, res_graph.resCap(e)); + free.set(w, res_graph.resCap(e)); } if (res_graph.head(e)==t) { _augment=true; break; } } - + ++bfs; } //end of searching augmenting path if (_augment) { Node n=t; Num augment_value=free[t]; - while (res_graph.valid(pred[n])) { + while (res_graph.valid(pred[n])) { ResGWEdge e=pred[n]; - res_graph.augment(e, augment_value); + res_graph.augment(e, augment_value); n=res_graph.tail(e); } } @@ -805,12 +811,10 @@ - - template - template - bool MaxFlow::augmentOnBlockingFlow() - { + template + bool MaxFlow::augmentOnBlockingFlow() + { typedef MutableGraph MG; bool _augment=false; @@ -821,13 +825,13 @@ FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0); BfsIterator bfs(res_graph, level); bfs.pushAndSetReached(s); - typename ResGW::template NodeMap + typename ResGW::template NodeMap dist(res_graph); //filled up with 0's //F will contain the physical copy of the residual graph //with the set of edges which are on shortest paths MG F; - typename ResGW::template NodeMap + typename ResGW::template NodeMap res_graph_to_F(res_graph); { typename ResGW::NodeIt n; @@ -841,19 +845,21 @@ typename MG::template EdgeMap original_edge(F); typename MG::template EdgeMap residual_capacity(F); - while ( !bfs.finished() ) { + while ( !bfs.finished() ) { ResGWOutEdgeIt e=bfs; if (res_graph.valid(e)) { if (bfs.isBNodeNewlyReached()) { dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1); - typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]); + typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], + res_graph_to_F[res_graph.head(e)]); original_edge.update(); original_edge.set(f, e); residual_capacity.update(); residual_capacity.set(f, res_graph.resCap(e)); } else { if (dist[res_graph.head(e)]==(dist[res_graph.tail(e)]+1)) { - typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], res_graph_to_F[res_graph.head(e)]); + typename MG::Edge f=F.addEdge(res_graph_to_F[res_graph.tail(e)], + res_graph_to_F[res_graph.head(e)]); original_edge.update(); original_edge.set(f, e); residual_capacity.update(); @@ -876,7 +882,7 @@ typename MG::template NodeMap free(F); - dfs.pushAndSetReached(sF); + dfs.pushAndSetReached(sF); while (!dfs.finished()) { ++dfs; if (F.valid(/*typename MG::OutEdgeIt*/(dfs))) { @@ -887,58 +893,56 @@ if (F.valid(pred[v])) { free.set(w, std::min(free[v], residual_capacity[dfs])); } else { - free.set(w, residual_capacity[dfs]); + free.set(w, residual_capacity[dfs]); } - if (w==tF) { - __augment=true; + if (w==tF) { + __augment=true; _augment=true; - break; + break; } - + } else { F.erase(/*typename MG::OutEdgeIt*/(dfs)); } - } + } } if (__augment) { typename MG::Node n=tF; Num augment_value=free[tF]; - while (F.valid(pred[n])) { + while (F.valid(pred[n])) { typename MG::Edge e=pred[n]; - res_graph.augment(original_edge[e], augment_value); + res_graph.augment(original_edge[e], augment_value); n=F.tail(e); - if (residual_capacity[e]==augment_value) - F.erase(e); - else + if (residual_capacity[e]==augment_value) + F.erase(e); + else residual_capacity.set(e, residual_capacity[e]-augment_value); } } - + } - + return _augment; } - - template - bool MaxFlow::augmentOnBlockingFlow2() + bool MaxFlow::augmentOnBlockingFlow2() { bool _augment=false; ResGW res_graph(*g, *capacity, *flow); - + //ReachedMap level(res_graph); FOR_EACH_LOC(typename Graph::NodeIt, e, *g) level.set(e, 0); BfsIterator bfs(res_graph, level); bfs.pushAndSetReached(s); DistanceMap dist(res_graph); - while ( !bfs.finished() ) { + while ( !bfs.finished() ) { ResGWOutEdgeIt e=bfs; if (res_graph.valid(e) && bfs.isBNodeNewlyReached()) { dist.set(res_graph.head(e), dist[res_graph.tail(e)]+1); @@ -948,17 +952,17 @@ //Subgraph containing the edges on some shortest paths ConstMap true_map(true); - typedef SubGraphWrapper, + typedef SubGraphWrapper, DistanceMap > FilterResGW; FilterResGW filter_res_graph(res_graph, true_map, dist); - //Subgraph, which is able to delete edges which are already + //Subgraph, which is able to delete edges which are already //met by the dfs - typename FilterResGW::template NodeMap + typename FilterResGW::template NodeMap first_out_edges(filter_res_graph); typename FilterResGW::NodeIt v; - for(filter_res_graph.first(v); filter_res_graph.valid(v); - filter_res_graph.next(v)) + for(filter_res_graph.first(v); filter_res_graph.valid(v); + filter_res_graph.next(v)) { typename FilterResGW::OutEdgeIt e; filter_res_graph.first(e, v); @@ -974,57 +978,60 @@ __augment=false; //computing blocking flow with dfs - DfsIterator< ErasingResGW, - typename ErasingResGW::template NodeMap > + DfsIterator< ErasingResGW, + typename ErasingResGW::template NodeMap > dfs(erasing_res_graph); typename ErasingResGW:: - template NodeMap - pred(erasing_res_graph); + template NodeMap + pred(erasing_res_graph); pred.set(s, INVALID); //invalid iterators for sources - typename ErasingResGW::template NodeMap + typename ErasingResGW::template NodeMap free1(erasing_res_graph); - dfs.pushAndSetReached( - typename ErasingResGW::Node( - typename FilterResGW::Node( - typename ResGW::Node(s) - ) - ) - ); + dfs.pushAndSetReached + ///\bug hugo 0.2 + (typename ErasingResGW::Node + (typename FilterResGW::Node + (typename ResGW::Node(s) + ) + ) + ); while (!dfs.finished()) { ++dfs; - if (erasing_res_graph.valid( - typename ErasingResGW::OutEdgeIt(dfs))) - { + if (erasing_res_graph.valid(typename ErasingResGW::OutEdgeIt(dfs))) + { if (dfs.isBNodeNewlyReached()) { - + typename ErasingResGW::Node v=erasing_res_graph.aNode(dfs); typename ErasingResGW::Node w=erasing_res_graph.bNode(dfs); pred.set(w, /*typename ErasingResGW::OutEdgeIt*/(dfs)); if (erasing_res_graph.valid(pred[v])) { - free1.set(w, std::min(free1[v], res_graph.resCap( - typename ErasingResGW::OutEdgeIt(dfs)))); + free1.set + (w, std::min(free1[v], res_graph.resCap + (typename ErasingResGW::OutEdgeIt(dfs)))); } else { - free1.set(w, res_graph.resCap( - typename ErasingResGW::OutEdgeIt(dfs))); + free1.set + (w, res_graph.resCap + (typename ErasingResGW::OutEdgeIt(dfs))); } - - if (w==t) { - __augment=true; + + if (w==t) { + __augment=true; _augment=true; - break; + break; } } else { erasing_res_graph.erase(dfs); } } - } + } if (__augment) { - typename ErasingResGW::Node n=typename FilterResGW::Node(typename ResGW::Node(t)); + typename ErasingResGW::Node + n=typename FilterResGW::Node(typename ResGW::Node(t)); // typename ResGW::NodeMap a(res_graph); // typename ResGW::Node b; // Num j=a[b]; @@ -1035,7 +1042,7 @@ // typename ErasingResGW::Node b2; // Num j2=a2[b2]; Num augment_value=free1[n]; - while (erasing_res_graph.valid(pred[n])) { + while (erasing_res_graph.valid(pred[n])) { typename ErasingResGW::OutEdgeIt e=pred[n]; res_graph.augment(e, augment_value); n=erasing_res_graph.tail(e); @@ -1043,15 +1050,13 @@ erasing_res_graph.erase(e); } } - - } //while (__augment) - + + } //while (__augment) + return _augment; } - - } //namespace hugo #endif //HUGO_MAX_FLOW_H diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/marci/bfs_dfs.h --- a/src/work/marci/bfs_dfs.h Tue May 11 19:38:00 2004 +0000 +++ b/src/work/marci/bfs_dfs.h Tue May 11 19:50:21 2004 +0000 @@ -2,13 +2,13 @@ #ifndef HUGO_BFS_DFS_H #define HUGO_BFS_DFS_H -// ///\ingroup gwrappers -///\file -///\brief Bfs and dfs iterators. +/// \ingroup galgs +/// \file +/// \brief Bfs and dfs iterators. /// -///This file contains bfs and dfs iterator classes. +/// This file contains bfs and dfs iterator classes. /// -// ///\author Marton Makai +// /// \author Marton Makai #include #include @@ -21,6 +21,7 @@ /// Bfs searches for the nodes wich are not marked in /// \c reached_map /// Reached have to work as read-write bool Node-map. + /// \ingroup galgs template */ > class BfsIterator { @@ -105,33 +106,32 @@ } return *this; } - /// + /// Guess what? bool finished() const { return bfs_queue.empty(); } /// The conversion operator makes for converting the bfs-iterator /// to an \c out-edge-iterator. ///\bug Edge have to be in HUGO 0.2 operator OutEdgeIt() const { return actual_edge; } - /// + /// Guess what? bool isBNodeNewlyReached() const { return b_node_newly_reached; } - /// + /// Guess what? bool isANodeExamined() const { return !(graph->valid(actual_edge)); } - /// + /// Guess what? Node aNode() const { return bfs_queue.front(); } - /// + /// Guess what? Node bNode() const { return graph->bNode(actual_edge); } - /// + /// Guess what? const ReachedMap& getReachedMap() const { return reached; } - /// + /// Guess what? const std::queue& getBfsQueue() const { return bfs_queue; } - }; + }; /// Bfs searches for the nodes wich are not marked in /// \c reached_map /// Reached have to work as a read-write bool Node-map, /// Pred is a write Edge Node-map and - /// Dist is a read-write int Node-map, have to be. - ///\todo In fact onsly simple operations requirement are needed for - /// Dist::Value. + /// Dist is a read-write Node-map of integral value, have to be. + /// \ingroup galgs template , typename PredMap @@ -178,15 +178,16 @@ } return *this; } - /// + /// Guess what? const PredMap& getPredMap() const { return pred; } - /// + /// Guess what? const DistMap& getDistMap() const { return dist; } }; /// Dfs searches for the nodes wich are not marked in /// \c reached_map /// Reached have to be a read-write bool Node-map. + /// \ingroup galgs template */ > class DfsIterator { @@ -248,21 +249,21 @@ } return *this; } - /// + /// Guess what? bool finished() const { return dfs_stack.empty(); } - /// + /// Guess what? operator OutEdgeIt() const { return actual_edge; } - /// + /// Guess what? bool isBNodeNewlyReached() const { return b_node_newly_reached; } - /// + /// Guess what? bool isANodeExamined() const { return !(graph->valid(actual_edge)); } - /// + /// Guess what? Node aNode() const { return actual_node; /*FIXME*/} - /// + /// Guess what? Node bNode() const { return graph->bNode(actual_edge); } - /// + /// Guess what? const ReachedMap& getReachedMap() const { return reached; } - /// + /// Guess what? const std::stack& getDfsStack() const { return dfs_stack; } }; @@ -270,6 +271,7 @@ /// \c reached_map /// Reached is a read-write bool Node-map, /// Pred is a write Node-map, have to be. + /// \ingroup galgs template , typename PredMap @@ -312,7 +314,7 @@ } return *this; } - /// + /// Guess what? const PredMap& getPredMap() const { return pred; } }; diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/marci/bfs_dfs_misc.h --- a/src/work/marci/bfs_dfs_misc.h Tue May 11 19:38:00 2004 +0000 +++ b/src/work/marci/bfs_dfs_misc.h Tue May 11 19:50:21 2004 +0000 @@ -2,11 +2,11 @@ #ifndef HUGO_BFS_DFS_MISC_H #define HUGO_BFS_DFS_MISC_H -// ///\ingroup gwrappers -///\file -///\brief Miscellaneous algorithms using bfs and dfs. +/// \ingroup galgs +/// \file +/// \brief Miscellaneous algorithms using bfs and dfs. /// -///This file contains several algorithms using bfs and dfs. +/// This file contains several algorithms using bfs and dfs. /// // ///\author Marton Makai @@ -15,10 +15,11 @@ namespace hugo { - /// This function eat a read-write \c BoolMap& bool_map, + /// This function eats a read-write \c BoolMap& bool_map, /// which have to work well up /// to its \c set and \c operator[]() method. Thus we have to deal /// very carefully with an uninitialized \c IterableBoolMap. + /// \ingroup galgs template bool isBipartite(const Graph& g, BoolMap& bool_map) { typedef typename Graph::template NodeMap ReachedMap; @@ -52,6 +53,7 @@ /// If the graph is directed and not acyclic, /// then going back from the returned node via the pred information, a /// cycle is obtained. + /// \ingroup galgs template typename Graph::Node topSort(const Graph& g, std::list& l, @@ -89,6 +91,7 @@ } return INVALID; } + } //namespace hugo #endif //HUGO_BFS_DFS_MISC_H diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/marci/makefile --- a/src/work/marci/makefile Tue May 11 19:38:00 2004 +0000 +++ b/src/work/marci/makefile Tue May 11 19:50:21 2004 +0000 @@ -4,7 +4,7 @@ INCLUDEDIRS ?= -I../.. -I.. -I../{marci,jacint,alpar,klao,akos,athos} -I$(BOOSTROOT) LEDABINARIES = leda_graph_demo leda_bfs_dfs max_bipartite_matching_demo -BINARIES = max_flow_demo iterator_bfs_demo macro_test lg_vs_sg bfsit_vs_byhand bipartite_graph_wrapper_test bipartite_matching_try bipartite_matching_try_3 top_sort_test +BINARIES = max_flow_demo iterator_bfs_demo macro_test lg_vs_sg bfsit_vs_byhand bipartite_graph_wrapper_test bipartite_matching_try bipartite_matching_try_3 top_sort_test max_flow_1 #gw_vs_not preflow_demo_boost edmonds_karp_demo_boost preflow_demo_jacint preflow_demo_athos edmonds_karp_demo_alpar preflow_demo_leda include ../makefile diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/marci/max_bipartite_matching.h --- a/src/work/marci/max_bipartite_matching.h Tue May 11 19:38:00 2004 +0000 +++ b/src/work/marci/max_bipartite_matching.h Tue May 11 19:50:21 2004 +0000 @@ -2,6 +2,16 @@ #ifndef HUGO_MAX_BIPARTITE_MATCHING_H #define HUGO_MAX_BIPARTITE_MATCHING_H +/// \ingroup galgs +/// \file +/// \brief Maximum bipartite matchings, b-matchings and +/// capacitated b-matchings. +/// +/// This file contains a class for bipartite maximum matching, b-matchings +/// and capacitated b-matching computations. +/// +// /// \author Marton Makai + //#include #include //#include diff -r 75cf1d52eee5 -r b6b31b75b522 src/work/marci/max_flow_1.cc --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/work/marci/max_flow_1.cc Tue May 11 19:50:21 2004 +0000 @@ -0,0 +1,60 @@ +// -*- c++ -*- +#include +#include + +#include +#include +#include +#include +//#include +#include +//#include +#include + +using namespace hugo; + +// Use a DIMACS max flow file as stdin. +// read_dimacs_demo < dimacs_max_flow_file + + +int main(int, char **) { + + typedef ListGraph MutableGraph; + + typedef SmartGraph Graph; + // typedef ListGraph Graph; + typedef Graph::Node Node; + typedef Graph::EdgeIt EdgeIt; + + + Graph g; + Node s, t; + Graph::EdgeMap cap(g); + //readDimacsMaxFlow(std::cin, g, s, t, cap); + readDimacs(std::cin, g, cap, s, t); + Timer ts; + Graph::EdgeMap flow(g); //0 flow + MaxFlow, Graph::EdgeMap > + max_flow_test(g, s, t, cap, flow); + + { + std::cout << "preflow ..." << std::endl; + FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); + ts.reset(); + max_flow_test.preflowPhase0(MaxFlow, Graph::EdgeMap >::ZERO_FLOW); + std::cout << "elapsed time: " << ts << std::endl; + std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; + } + + { + std::cout << "preflow ..." << std::endl; + FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); + ts.reset(); + max_flow_test.preflowPhase0(MaxFlow, Graph::EdgeMap >::ZERO_FLOW); + std::cout << "elapsed time: " << ts << std::endl; + std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; + } + + + return 0; +}