#include <iostream>
#include <complex>
#include <vector>
#include <math.hpp>
#include <cmath>

using namespace std;
using namespace math;

int main (int ac,char ** av) {
	csignal coord = {0,1,0,0,0,0,0};
	coord = {0,1,0,0,0};
  csignal res;
	res = dft(coord);

	for(int n=0; n<coord.size(); n++) {
		cout << coord[n] << endl;
  }
  cout << endl;

	for(int n=0; n<res.size(); n++) {
		cout << res[n] << endl;
	}
	cout << endl;

	for(int n=0; n<res.size(); n++) {
		cout << abs(res[n]) << endl;
  }
	cout << endl;

  double my_sum = 0;
  double sum = 0;

	for(int n=0; n<res.size(); n++) {
    my_sum += arg(res[n]);
    sum += arg(exp(math::complex(0, 2*pi()*n/coord.size())));
		cout << arg(res[n]) << ' ' << arg(exp(math::complex(0, 2*pi()*n/coord.size()))) << endl;
  }

  std::cout << my_sum << ' ' << sum << std::endl;
}