#include<math.h>

#include<lemon/list_graph.h>

#include"bench_tools.h"

using namespace lemon;

///Makes a full graph by adding and deleting a lot of edges;

///\param n Number of nodes.

///\param rat The funcion will make \f$rat\timesn^2\f$ edge addition and

///\f$(rat-1)\timesn^2\f$ deletion.

///\param p Tuning parameters.

///\warning \c rat, \c p, and \c n must be pairwise relative primes. 

template <class Graph>

void makeFullGraph(int n, int rat, int p)

{

  GRAPH_TYPEDEF_FACTORY(Graph);

  Graph G;

  //  Node nodes[n];

  std::vector<Node> nodes(n);

  for(int i=0;i<n;i++) nodes[i]=G.addNode();

  //Edge equ[rat];

  std::vector<Edge> equ(rat);

  long long int count;

  for(count=0;count<rat;count++) {

    equ[count%rat]=G.addEdge(nodes[(count*p)%n],nodes[(count*p/n)%n]);

  }

  for(;(count%rat)||((count*p)%n)||((count*p/n)%n);count++) {

    //    if(!(count%1000000)) fprintf(stderr,"%d\r",count);

    if(count%rat) G.erase(equ[count%rat]);

    equ[count%rat]=G.addEdge(nodes[(count*p)%n],nodes[(count*p/n)%n]);

  }

//   std::cout << "Added " << count

// 	    << " ( " << n << "^2 * " << rat << " ) edges\n";

  //  for(int i=0;1;i++) ;

}

int main()

{

  lemon::Timer T;

  makeFullGraph<ListGraph>(nextPrim(1000),nextPrim(300),nextPrim(100));

  PrintTime("BIG",T);

  T.reset();

  makeFullGraph<ListGraph>(nextPrim(100),nextPrim(30000),nextPrim(150));

  PrintTime("SMALL",T);

}