Complex number: magnitude, squared magnitude and phase angle : complex number « Data Types « C++ Tutorial

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2. Data Types
3. complex number

/* The following code example is taken from the book
 * "The C++ Standard Library - A Tutorial and Reference"
 * by Nicolai M. Josuttis, Addison-Wesley, 1999
 *
 * (C) Copyright Nicolai M. Josuttis 1999.
 * Permission to copy, use, modify, sell and distribute this software
 * is granted provided this copyright notice appears in all copies.
 * This software is provided "as is" without express or implied
 * warranty, and with no claim as to its suitability for any purpose.
 */
#include <iostream>
#include <complex>
using namespace std;

int main()
{
    /* complex number with real and imaginary parts
     * - real part: 4.0
     * - imaginary part: 3.0
     */
    complex<double> c1(4.0,3.0);

    cout << "c1: " << c1 << endl;

    /* create complex number from polar coordinates
     * - magnitude: 5.0
     * - phase angle: 0.75
     */
    complex<float> c2(polar(5.0,0.75));

    // print complex numbers as polar coordinates
    cout << "c1: magnitude: " << abs(c1)
         << " (squared magnitude: " << norm(c1) << ") "
         <<    " phase angle: " << arg(c1) << endl;
    cout << "c2: magnitude: " << abs(c2)
         << " (squared magnitude: " << norm(c2) << ") "
         <<    " phase angle: " << arg(c2) << endl;

}

c1: (4,3)
c1: magnitude: 5 (squared magnitude: 25)  phase angle: 0.643501
c2: magnitude: 5 (squared magnitude: 25)  phase angle: 0.75