// https://godbolt.org/z/43rYYeKx9
#include <iostream>
#include <iomanip> // setprecision, fixed
#include <complex>
using std::cout; using std::complex;
int main() {
using namespace std::complex_literals; // for i-suffix
cout << std::fixed << std::setprecision(1);
complex<double> z1 = 1i * 1i; // i times i
cout << z1 << '\n'; // output: (-1.0,0.0)
complex<double> z2 = std::pow(1i, 2); // i-square
cout << z2 << '\n'; // Output: (-1.0,0.0)
double PI = std::acos(-1); // Length of half a unit circle
complex<double> z3 = std::exp(1i * PI); // Euler formula
cout << z3 << '\n'; // Output: (-1.0,0.0)
complex<double> a(3, 4); // usually as a constructor
complex<double> b = 1. - 2i; // practically as a literal
// Calculations:
cout << "a + b = " << a + b << "\n"; // Output: a + b = (4.0,2.0)
cout << "a * b = " << a * b << "\n"; // Output: a * b = (11.0,-2.0)
cout << "a / b = " << a / b << "\n"; // Output: a / b = (-1.0,2.0)
cout << "|a| = " << abs(a) << "\n"; // Output: |a| = 5.0
cout << "conj(a) = " << conj(a) << "\n"; // Output: conj(a) = (3.0,-4.0)
cout << "norm(a) = " << norm(a) << "\n"; // Output: norm(a) = 25.0
cout << "abs(a) = " << abs(a) << "\n"; // Output: abs(a) = 5.0
cout << "exp(a) = " << exp(a) << "\n"; // Output: exp(a) = (-13.1,-15.2)
}