#include <iostream>
#include <cstdlib>
#include <complex>
#include <cmath>   //for sqrt
using namespace std;

int main()
{
	complex<double> a(3);        //last argument defaults to 0.0
	complex<double> b(0, 4);
	complex<double> c;           //arguments default to 0.0, 0.0

	cout << b << "\n"
		<< "x, y coordinates: " << b.real() << ", " << b.imag() << "\n"
		<< "r, theta coordinates: " << abs(b) << ", " << arg(b) << "\n"
		<< "distance from origin: " << sqrt(norm(b)) << "\n"
		<< "distance from a: " << sqrt(norm(b - a)) << "\n";

	return EXIT_SUCCESS;
}