/**
 * Author: Josiah Yoder et al.
 * User: yoder
 * Class: SE1011-011
 * Lesson: Week 8, Day 1
 */
public class Compex051_8_1 {
    // The complex number is
    // real + imaginary * i
    // where i is sqrt(-1)
    private double real;
    private double imaginary;

    public Compex051_8_1() {
        real = 0;
        imaginary = 0;
    }

    public Compex051_8_1(double real, double imaginary) {
        this.real = real;
        this.imaginary = imaginary;
    }

    public Compex051_8_1(double real) {
        this.real = real;
        imaginary = 0;
    }

    public Compex051_8_1(Compex051_8_1 old) {
        this.real = old.real;
        this.imaginary = old.imaginary;
    }

    // From main:
//    Compex051_8_1 c1  = new Compex051_8_1(3,4);
//    Compex051_8_1 c2 = new Compex051_8_1(1,2);
//    c1 = c1.add(c2);    // +=
    public Compex051_8_1 add(Compex051_8_1 other) {
        // this; // reference to this object
        // other; // reference to the other object
        Compex051_8_1 result = new Compex051_8_1();
        this.real = this.real + other.real;
        this.imaginary = this.imaginary + other.imaginary;
        return result;
    }

    //
    // Treat complex number as a vector
    // and return the magnitude.
    //
    // That is, we want to find the length
    // of the vector from the origin
    // to the complex number
    // when plotted on a graph.
    public double magnitude() {
        // sqrt(x^2 + y^2)
        // sqrt(real^2 + imaginary^2)
        return Math.sqrt(real*real+imaginary*imaginary);
    }
}