# HG changeset patch # User jacint # Date 1083307599 0 # Node ID e42f56e7ad9349453f3b98acb0caf3027d5b995a # Parent bbd1db03f0fefa8225345ff86d74204bd9b3c8ec Felkesz kod! diff -r bbd1db03f0fe -r e42f56e7ad93 src/work/jacint/edmonds.cc --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/work/jacint/edmonds.cc Fri Apr 30 06:46:39 2004 +0000 @@ -0,0 +1,220 @@ +#include +#include +#include + +#include +#include + +using namespace hugo; + +int main (int, char*[]) +{ + typedef ListGraph::NodeIt NodeIt; + typedef ListGraph::EdgeIt EdgeIt; + typedef ListGraph::Node Node; + typedef ListGraph::Edge Edge; + typedef ListGraph::OutEdgeIt OutEdgeIt; + typedef ListGraph::InEdgeIt InEdgeIt; + + ListGraph flow_test; + + /* //Ahuja könyv példája, maxflowvalue=13*/ + Node s=flow_test.addNode(); + Node v1=flow_test.addNode(); + Node v2=flow_test.addNode(); + Node v3=flow_test.addNode(); + Node v4=flow_test.addNode(); + Node v5=flow_test.addNode(); + Node t=flow_test.addNode(); + + ListGraph::NodeMap Node_name(flow_test); + Node_name.set(s, "s"); + Node_name.set(v1, "v1"); + Node_name.set(v2, "v2"); + Node_name.set(v3, "v3"); + Node_name.set(v4, "v4"); + Node_name.set(v5, "v5"); + Node_name.set(t, "t"); + + Edge s_v1=flow_test.addEdge(s, v1); + Edge s_v2=flow_test.addEdge(s, v2); + Edge s_v3=flow_test.addEdge(s, v3); + Edge v2_v4=flow_test.addEdge(v2, v4); + Edge v2_v5=flow_test.addEdge(v2, v5); + Edge v3_v5=flow_test.addEdge(v3, v5); + Edge v4_t=flow_test.addEdge(v4, t); + Edge v5_t=flow_test.addEdge(v5, t); + Edge v2_s=flow_test.addEdge(v2, s); + + ListGraph::EdgeMap cap(flow_test); + cap.set(s_v1, 0); + cap.set(s_v2, 10); + cap.set(s_v3, 10); + cap.set(v2_v4, 5); + cap.set(v2_v5, 8); + cap.set(v3_v5, 5); + cap.set(v4_t, 8); + cap.set(v5_t, 8); + cap.set(v2_s, 0); + + + Edmonds edmonds(flow_test); + std::vector matching(0); + std::cout<< edmonds.run(matching); + + + /* //Marci példája, maxflowvalue=23 + Node s=flow_test.addNode(); + Node v1=flow_test.addNode(); + Node v2=flow_test.addNode(); + Node v3=flow_test.addNode(); + Node v4=flow_test.addNode(); + Node t=flow_test.addNode(); + Node z=flow_test.addNode(); + + + ListGraph::NodeMap Node_name(flow_test); + Node_name.set(s, "s"); + Node_name.set(v1, "v1"); + Node_name.set(v2, "v2"); + Node_name.set(v3, "v3"); + Node_name.set(v4, "v4"); + Node_name.set(t, "t"); + Node_name.set(z, "z"); + + Edge s_v1=flow_test.addEdge(s, v1); + Edge s_v2=flow_test.addEdge(s, v2); + Edge v1_v2=flow_test.addEdge(v1, v2); + Edge v2_v1=flow_test.addEdge(v2, v1); + Edge v1_v3=flow_test.addEdge(v1, v3); + Edge v3_v2=flow_test.addEdge(v3, v2); + Edge v2_v4=flow_test.addEdge(v2, v4); + Edge v4_v3=flow_test.addEdge(v4, v3); + Edge v3_t=flow_test.addEdge(v3, t); + Edge v4_t=flow_test.addEdge(v4, t); + Edge v3_v3=flow_test.addEdge(v3, v3); + Edge s_z=flow_test.addEdge(s, z); + // Edge v2_s=flow_test.addEdge(v2, s); + + + + ListGraph::EdgeMap cap(flow_test); + cap.set(s_v1, 16); + cap.set(s_v2, 13); + cap.set(v1_v2, 10); + cap.set(v2_v1, 4); + cap.set(v1_v3, 12); + cap.set(v3_v2, 9); + cap.set(v2_v4, 14); + cap.set(v4_v3, 7); + cap.set(v3_t, 20); + cap.set(v4_t, 4); + cap.set(v3_v3, 4); + cap.set(s_z, 4); + // cap.set(v2_s, 0); + + */ + + //pelda 3, maxflowvalue=4 + /* Node s=flow_test.addNode(); + Node v1=flow_test.addNode(); + Node v2=flow_test.addNode(); + Node t=flow_test.addNode(); + Node w=flow_test.addNode(); + + NodeMap Node_name(flow_test); + Node_name.set(s, "s"); + Node_name.set(v1, "v1"); + Node_name.set(v2, "v2"); + Node_name.set(t, "t"); + Node_name.set(w, "w"); + + Edge s_v1=flow_test.addEdge(s, v1); + Edge v1_v2=flow_test.addEdge(v1, v2); + Edge v2_t=flow_test.addEdge(v2, t); + Edge v1_v1=flow_test.addEdge(v1, v1); + Edge s_w=flow_test.addEdge(s, w); + + + EdgeMap cap(flow_test); + + cap.set(s_v1, 16); + cap.set(v1_v2, 10); + cap.set(v2_t, 4); + cap.set(v1_v1, 3); + cap.set(s_w, 5); + */ + + + + /* + std::cout << "Testing reverse_bfs..." << std::endl; + + reverse_bfs bfs_test(flow_test, t); + + bfs_test.run(); + + for (EachNodeIt w=flow_test.first_Node(); w.valid(); ++w) { + std::cout <<"The distance of " << w << " is " << bfs_test.dist(w) < preflow_push_test(flow_test, s, t, cap); + + preflow_push_test.run(); + + std::cout << "Maximum flow value is: " << preflow_push_test.maxflow() << "."< flow=preflow_push_test.allflow(); + for (EachEdgeIt e=flow_test.template first(); e.valid(); ++e) { + std::cout <<"Flow on Edge " << flow_test.tail(e) <<"-" << flow_test.head(e)<< " is " < mincut=preflow_push_test.mincut(); + + for (EachNodeIt v=flow_test.template first(); v.valid(); ++v) { + if (mincut.get(v)) std::cout < max_flow_test(flow_test, s, t, cap); + + max_flow_test.run(); + + std::cout << "Maximum flow value is: " << max_flow_test.maxflow() << "."<< std::endl; + + std::cout << "A minimum cut: " < mincut2=max_flow_test.mincut(); + + for (EachNodeIt v=flow_test.template first(); v.valid(); ++v) { + if (mincut2.get(v)) std::cout < + +#include +#include + +namespace hugo { + + template + class Edmonds { + + typedef typename Graph::Node Node; + typedef typename Graph::Edge Edge; + typedef typename Graph::EdgeIt EdgeIt; + typedef typename Graph::NodeIt NodeIt; + typedef typename Graph::OutEdgeIt OutEdgeIt; + + typedef UnionFindEnum ufe; + + const Graph& G; + + public: + Edmonds(Graph& _G) : G(_G) {} + + + int run(std::vector matching) { + + enum pos_enum{ + D=0, + A=1, + C=2 + }; + Graph::template NodeMap pos(G,C); + + int p=0; //needed for path + + typename Graph::NodeMap mate(G,INVALID); + for ( int i=0; i!=matching.size(); ++i ) { + Node u=G.aNode(matching[i]); + Node v=G.bNode(matching[i]); + mate.set(u,v); + mate.set(v,u); + } + matching.clear(); + + typename Graph::NodeMap ear(G,INVALID); + // a basepontok es a C-beliek earje szemet + + ufe::MapType blossom_base(G); + ufe blossom(blossom_base); + ufe::MapType tree_base(G); + ufe tree(tree_base); + + NodeIt v; + for(G.first(v); G.valid(v), G.next(v) ) { + + if ( pos[v]==C && mate[v]=INVALID ) { + + blossom.insert(v); + tree.insert(v); + pos.set(v,D); + + std::queue Q; //a vizsgalando csucsok sora + Q.push(v); + + while ( !Q.empty() ) { + Node x=Q.top(); + Q.pop(); + + OutEdgeIt e; + for( G.first(e); G.valid(e), G.next(e) ) { + Node y=G.bNode(e); + + if ( pos[y]==D ) { + + if ( tree.find(x) != tree.find(y) ) { //augment + augment(x, mate, ear, blossom, tree); + augment(y, mate, ear, blossom, tree); + mate.set(x)=y; + mate.set(y)=x; + goto increased; + } else + if ( blossom.find(x) != blossom.find(y) ) { + + typename Graph::NodeMap path(G,0); + + ++p; + Node b=blossom.find(x); + path.set(b,p); + while ( b!=INVALID ) { + b=blossom.find(ear[mate[b]]); + path.set(b,p); + } //going till the root + + Node w=y; + Node v=blossom.find(w); + while ( path[v]!=p ) { + Q.push(mate[v]); + w=shrink_step(w,v,mate,ear,tree,blossom); + v=blossom.find(w); + } + //now v is the base of the first common ancestor + + w=x; + Node z=blossom.find(w); + while ( z!=v ) { + Q.push(mate[z]); + w=shrink_step(w,z,mate,ear,tree,blossom); + z=blossom.find(w); + } + + ear.set(x,y); + ear.set(y,x); + + blossom.makeRep(v); + } + } else if ( pos[y] == C ) + + if ( mate[y]!=INVALID ) { //grow + ear.set(y,x); + Node w=mate(y); + blossom.insert(w); + tree.insert(w); + tree.join(y,x); + tree.join(w,x); + Q.push(w); + } else { + augment(x, mate, ear, blossom, tree); + mate.set(x)=y; + mate.set(y)=x; + goto increased; + } + } + } + increased: //Misi, warningol, hogy nincs utasitas! + } + } + + int s=0; + NodeIt v; + for(G.first(v); G.valid(v), G.next(v) ) + if ( mate[v]!=INVALID ) ++s; + + return (int)(s/2); + + //egyelore nem ad semmit vissza + + } + + + void augment(const Node x, typename Graph::NodeMap& mate, + typename Graph::NodeMap& ear, + ufe& blossom, ufe& tree) { + Node v=mate[x]; + while ( v!=INVALID ) { + Node u=ear[v]; + mate.set(v,u); + Node tmp=v; + v=mate[u]; + mate.set(u,tmp); + } + //FIXME, blossom szetszed + tree.eraseClass(x); + } + + + Node shrink_step(const Node z, const Node v, typename Graph::NodeMap& mate, + typename Graph::NodeMap& ear, + ufe& blossom, ufe& tree) { + if ( z!=v ) { + Node t=z; + Node u; + while ( t!=v ) { + u=mate[t]; + t=ear[u]; + } + ear.set(v,u); + } + + Node u=mate[v]; + Node w=ear[u]; + tree.erase(u); + tree.erase(v); + blossom.insert(u); + blossom.join(u,w); + blossom.join(v,w); + ear.set(w,u); + + return w; + } + + + }; + +} //namespace hugo + +#endif //EDMONDS_H + + + + diff -r bbd1db03f0fe -r e42f56e7ad93 src/work/jacint/makefile --- a/src/work/jacint/makefile Fri Apr 30 01:59:15 2004 +0000 +++ b/src/work/jacint/makefile Fri Apr 30 06:46:39 2004 +0000 @@ -1,3 +1,3 @@ -BINARIES = preflow preflow_res_comp preflow_excess_test +BINARIES = edmonds #preflow preflow_res_comp preflow_excess_test INCLUDEDIRS= -I../../include -I.. -I../{klao,marci,jacint,alpar,johanna,akos} -include ../makefile +include ../makefile