///Generates a random graph, and tests max_matching.h on it.

#include <iostream>

#include <queue>

#include <math.h>

#include <list_graph.h>

#include <dimacs.h>

#include <graph_gen.h>

#include <max_matching.h>

#include <time_measure.h>

#include <graph_wrapper.h>

using namespace lemon;

int main(int, char **) {

  typedef UndirGraph<ListGraph> UGW;

  typedef UGW::Edge Edge;

  typedef UGW::EdgeIt EdgeIt;

  typedef UGW::OutEdgeIt OutEdgeIt;

  typedef UGW::NodeIt NodeIt;

  typedef UGW::Node Node;

  UGW G;

  //  random_init(); //If you want to use a random graph with a random

  //  number of edges and nodes.

  int i;

  int j;

  std::cout<<"Number of nodes: ";

  std::cin >> i;

  std::cout<<"Number of edges: ";

  std::cin >> j;

  //  readDimacs(std::cin, G); 

  randomGraph(G, i, j );  

  Timer ts;

  bool noerror=true;

  std::cout <<

    "\n  Testing max_matching.h on a random graph with " << 

    G.nodeNum() << " nodes and " << G.edgeNum() << " edges...\n"

	    << std::endl;

  MaxMatching<UGW> max_matching(G);

  std::cout << 

    "Running the plain edmonds algorithm runEdmonds(0) using no heuristic... " 

	    <<std::endl;

  ts.reset();  

  max_matching.runEdmonds(0);

  std::cout<<"Elapsed time: "<<ts<<std::endl;

  int s=0;

  UGW::NodeMap<Node> mate(G,INVALID);

  max_matching.writeNMapNode(mate);

  NodeIt v;

  for(G.first(v); G.valid(v); G.next(v) ) {

    if ( G.valid(mate[v]) ) {

      ++s;

    }

  }

  int size=(int)s/2;  //size will be used as the size of a maxmatching

  std::cout << size << " is the size of the matching found by runEdmonds(0),"<<std::endl;

  if ( size == max_matching.size() ) {

    std::cout<< "which equals to the size of the actual matching reported by size().\n"<< std::endl;

  } else {  

    std::cout<< "which does not equal to the size of the actual matching reported by size()!\n"<< std::endl;

    noerror=false;

  }

  std::cout<<"Writing the position by calling writePos...";

  UGW::NodeMap<MaxMatching<UGW>::pos_enum> pos0(G);

  max_matching.writePos(pos0);

  std::cout << "OK" << std::endl;

  std::cout << "Resetting the matching and the position by calling"<< std::endl;

  std::cout<<"resetPos() and resetMatching()...";

  max_matching.resetPos();

  max_matching.resetMatching();

  std::cout <<"OK" << std::endl;

  std::cout << "\nRunning runEdmonds(1) using the 'postpone shrink' heuristic ... " <<std::endl;

  ts.reset();  

  max_matching.runEdmonds(1);

  std::cout<<"Elapsed time: "<<ts<<std::endl;

  s=0;

  max_matching.writeNMapNode(mate);

  for(G.first(v); G.valid(v); G.next(v) ) {

    if ( G.valid(mate[v]) ) {

      ++s;

    }

  }

  std::cout << (int)s/2 << 

    " is the size of the matching found by runEdmonds(1),"<<std::endl;

  if ( (int)s/2 == size ) {

    std::cout<< "which equals to the size of the matching found by runEdmonds(0)."<< std::endl;

  } else {  

    std::cout<< "which does not equal to the size of the matching found by runEdmonds(0)!"<< std::endl;

    noerror=false;

  } 

  UGW::NodeMap<MaxMatching<UGW>::pos_enum> pos1(G);

  max_matching.writePos(pos1);

  std::cout << "\nStarting run() from the matching given by runEdmonds(1)... " <<std::endl;

  max_matching.resetPos();

  ts.reset();  

  max_matching.run();

  std::cout<<"Elapsed time: "<<ts<<std::endl;

  s=0;

  max_matching.writeNMapNode(mate);

  for(G.first(v); G.valid(v); G.next(v) ) {

    if ( G.valid(mate[v]) ) {

      ++s;

    }

  }

  if ( (int)s/2 == size ) {

    std::cout<< "Found a matching of proper size."<< std::endl;

  } else {  

    std::cout<< "Found a matching of inproper size!"<< std::endl;

    noerror=false;

  }

  UGW::NodeMap<MaxMatching<UGW>::pos_enum> pos2(G);

  max_matching.writePos(pos2);

  std::cout << "\nCalling resetPos() and resetMatching()...";

  max_matching.resetPos();

  max_matching.resetMatching();

  std::cout<<"OK"<<std::endl;

  std::cout <<"Calling greedyMatching() and then runEdmonds(1)... " <<std::endl;

  ts.reset();  

  max_matching.run();

  std::cout<<"Elapsed time: "<<ts<<std::endl;

  s=0;

  max_matching.writeNMapNode(mate);

  for(G.first(v); G.valid(v); G.next(v) ) {

    if ( G.valid(mate[v]) ) {

      ++s;

    }

  }

  std::cout << (int)s/2 << " is the size of the matching found by run(),"<<std::endl;

  if ( (int)s/2 == size ) {

    std::cout<< "which equals to the size of the matching found by runEdmonds(0)."<< std::endl;

  } else {  

    std::cout<< "which does not equal to the size of the matching found by runEdmonds(0)!"<< std::endl;

    noerror=false;

  }

  UGW::NodeMap<MaxMatching<UGW>::pos_enum> pos(G);

  max_matching.writePos(pos);

  std::cout<<"\nChecking if the output is a matching...";

  bool ismatching=true;

  for(G.first(v); G.valid(v); G.next(v) )

    if ( G.valid(mate[v]) ) {

      Node u=mate[v];

      if (mate[u]!=v) ismatching=false; 

    }

  if ( ismatching ) std::cout<<"OK"<<std::endl;

  else std::cout<< "It is not a matching!"<< std::endl;

  noerror = noerror && ismatching;

  std::cout<<"\nChecking the dual..."<<std::endl;

  std::cout<<"Checking if the four position outputs coincide...";

  bool coincide=true;

  int err_node=0;

  for(G.first(v); G.valid(v); G.next(v) ) {

    if ( pos0[v] != pos1[v] || pos1[v]!=pos2[v] || pos2[v]!=pos[v] ) {

      ++err_node;

      coincide=false;

    }

  }

  if ( coincide ) std::cout << "OK" <<std::endl;

  else {

    std::cout << "They do not coincide! Number of erroneous nodes: " 

	      << err_node << std::endl;

  }     

  noerror=noerror && coincide;

  std::cout<<"Checking if there is no edge between D and C...";

  bool noedge=true;

  EdgeIt e;

  for(G.first(e); G.valid(e); G.next(e) ) {

    if ( (pos[G.target(e)]==max_matching.C && pos[G.source(e)]==max_matching.D) || 

	 (pos[G.target(e)]==max_matching.D && pos[G.source(e)]==max_matching.C) )

      noedge=false; 

  }

  if ( noedge ) std::cout<<"OK"<<std::endl;

  else std::cout<< "There are edges between D and C!"<< std::endl;

  noerror = noerror && noedge;

  std::cout<<"Checking if all the components of G[D] are odd...";

  bool oddcomp=true;

  UGW::NodeMap<bool> todo(G,true);

  int num_comp=0;

  for(G.first(v); G.valid(v); G.next(v) ) {

    if ( pos[v]==max_matching.D && todo[v] ) {

      int comp_size=1;

      ++num_comp;

      std::queue<Node> Q;

      Q.push(v);

      todo.set(v,false);

      while (!Q.empty()) {

	Node w=Q.front();	

	Q.pop();

	OutEdgeIt e;

	for(G.first(e,w); G.valid(e); G.next(e)) {

	  Node u=G.bNode(e);

	  if ( pos[u]==max_matching.D && todo[u] ) {

	    ++comp_size;

	    Q.push(u);

	    todo.set(u,false);

	  }

	}

      }

      if ( !(comp_size % 2) ) oddcomp=false;  

    }

  }

  std::cout << "\n  found     " << num_comp << "     component(s) of G[D],";

  if ( oddcomp ) std::cout<<" each is odd."<<std::endl;

  else std::cout<< " but not all are odd!"<< std::endl;

  noerror = noerror && oddcomp;

  int barrier=0;

  for(G.first(v); G.valid(v); G.next(v) ) 

    if ( pos[v]==max_matching.A ) ++barrier;

  std::cout << barrier << " is the number of nodes in A (i.e. the size of the barrier), so" << std::endl;

  std::cout << num_comp - barrier << " is the deficiency of the graph, and hence" << std::endl; 

  int expected_size=(int)(G.nodeNum()-num_comp+barrier)/2;

  std::cout << expected_size << " should be the size of the maximum matching," << std::endl; 

  if ( size==expected_size )

    std::cout<<"which equals to the number of vertices missed by the found matching!"<<std::endl; 

  else {

    std::cout<<"which does not equal to the number of vertices missed by the matchings found!"

	     <<std::endl; 

    noerror=false;

  }

  if ( num_comp == 1 && barrier == 0 ) 

    std::cout<<"\nThis graph is factor-critical."<<std::endl;

  if ( num_comp == 0 && barrier == 0 ) 

    std::cout<<"\nThis graph has a perfect matching."<<std::endl;

  if( noerror ) std::cout<<"\nNo errors found.\n"<<std::endl;

  else std::cout<<"\nSome errors found!\n"<<std::endl;

  return 0;

}