// -*- c++ -*-

#include <iostream>

#include <fstream>

#include <vector>

#include <cstdlib>

#include <LEDA/graph.h>

#include <LEDA/mcb_matching.h>

#include <LEDA/list.h>

#include <LEDA/graph_gen.h>

#include <leda_graph_wrapper.h>

#include <sage_graph.h>

//#include <smart_graph.h>

//#include <dimacs.h>

#include <lemon/time_measure.h>

#include <for_each_macros.h>

#include <lemon/graph_wrapper.h>

#include <bipartite_graph_wrapper.h>

#include <lemon/maps.h>

#include <lemon/max_flow.h>

using std::cin;

using std::cout;

using std::endl;

using namespace lemon;

int main() {

  //for leda graph

  leda::graph lg;

  //lg.make_undirected();

  typedef LedaGraphWrapper<leda::graph> Graph;

  Graph g(lg);

  //for UndirSageGraph

  //typedef UndirSageGraph Graph; 

  //Graph g;

  typedef Graph::Node Node;

  typedef Graph::NodeIt NodeIt;

  typedef Graph::Edge Edge;

  typedef Graph::EdgeIt EdgeIt;

  typedef Graph::OutEdgeIt OutEdgeIt;

  std::vector<Graph::Node> s_nodes;

  std::vector<Graph::Node> t_nodes;

  int a;

  cout << "number of nodes in the first color class=";

  cin >> a; 

  int b;

  cout << "number of nodes in the second color class=";

  cin >> b; 

  int m;

  cout << "number of edges=";

  cin >> m; 

  int k;

  cout << "A bipartite graph is a random group graph if the color classes \nA and B are partitiones to A_0, A_1, ..., A_{k-1} and B_0, B_1, ..., B_{k-1} \nas equally as possible \nand the edges from A_i goes to A_{i-1 mod k} and A_{i+1 mod k}.\n";

  cout << "number of groups in LEDA random group graph=";

  cin >> k; 

  cout << endl;

  leda_list<leda_node> lS;

  leda_list<leda_node> lT;

  random_bigraph(lg, a, b, m, lS, lT, k);

  Graph::NodeMap<int> ref_map(g, -1);

  IterableBoolMap< Graph::NodeMap<int> > bipartite_map(ref_map);

  //generating leda random group graph

  leda_node ln;

  forall(ln, lS) bipartite_map.insert(ln, false);

  forall(ln, lT) bipartite_map.insert(ln, true);

  //making bipartite graph

  typedef BipartiteGraphWrapper<Graph> BGW;

  BGW bgw(g, bipartite_map);

  //st-wrapper

  typedef stBipartiteGraphWrapper<BGW> stGW;

  stGW stgw(bgw);

  ConstMap<stGW::Edge, int> const1map(1);

  stGW::EdgeMap<int> flow(stgw);

  Timer ts;

  ts.reset();

  FOR_EACH_LOC(stGW::EdgeIt, e, stgw) flow.set(e, 0);

  MaxFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> > 

    max_flow_test(stgw, stgw.S_NODE, stgw.T_NODE, const1map, flow/*, true*/);

  max_flow_test.run();

  cout << "LEMON max matching algorithm based on preflow." << endl 

	    << "Size of matching: " 

	    << max_flow_test.flowValue() << endl;

  cout << "elapsed time: " << ts << endl << endl;

  ts.reset();  

  leda_list<leda_edge> ml=MAX_CARD_BIPARTITE_MATCHING(lg);

  cout << "LEDA max matching algorithm." << endl 

	    << "Size of matching: " 

	    << ml.size() << endl;

  cout << "elapsed time: " << ts << endl << endl;

//   ts.reset();

//   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) flow.set(e, 0);

//   typedef SageGraph MutableGraph;

//   while (max_flow_test.augmentOnBlockingFlow<MutableGraph>()) { }

//   cout << "LEMON max matching algorithm based on blocking flow augmentation." 

// 	    << endl << "Matching size: " 

// 	    << max_flow_test.flowValue() << endl;

//   cout << "elapsed time: " << ts << endl << endl;

  {

  SageGraph hg;

  SageGraph::Node s=hg.addNode();  

  SageGraph::Node t=hg.addNode();

  BGW::NodeMap<SageGraph::Node> b_s_nodes(bgw);  

  BGW::NodeMap<SageGraph::Node> b_t_nodes(bgw);

  FOR_EACH_INC_LOC(BGW::ClassNodeIt, n, bgw, BGW::S_CLASS) {

    b_s_nodes.set(n, hg.addNode());

    hg.addEdge(s, b_s_nodes[n]);

  }

  FOR_EACH_INC_LOC(BGW::ClassNodeIt, n, bgw, BGW::T_CLASS) {

    b_t_nodes.set(n, hg.addNode());

    hg.addEdge(b_t_nodes[n], t);

  }

  FOR_EACH_LOC(BGW::EdgeIt, e, bgw) 

    hg.addEdge(b_s_nodes[bgw.source(e)], b_t_nodes[bgw.target(e)]);

  ConstMap<SageGraph::Edge, int> cm(1);

  SageGraph::EdgeMap<int> flow(hg); //0

  Timer ts;

  ts.reset();

  MaxFlow<SageGraph, int, ConstMap<SageGraph::Edge, int>, 

    SageGraph::EdgeMap<int> > 

    max_flow_test(hg, s, t, cm, flow);

  max_flow_test.run();

  cout << "LEMON max matching algorithm on SageGraph by copying the graph, based on preflow." 

	    << endl 

	    << "Size of matching: " 

	    << max_flow_test.flowValue() << endl;

  cout << "elapsed time: " << ts << endl << endl;

  }

  return 0;

}