I need some help generating a UML diagram from this assigment. Design a class named Complex for representing complex numbers with the methods add,subtract, multiply, divide, and abs for performing complex number operations, andoverride toString method for returning a string representation for a complex number. ThetoString method returns (a + bi) as a string. If b is 0, it simply returns a. Your Complexclass should also implement Cloneable and Comparable. Compare two complex numbersusing their absolute values.Provide three constructors Complex(a, b), Complex(a), and Complex(). Complex()creates a Complex object for number 0, and Complex(a) creates a Complex object with 0for b. Also provide the getRealPart() and getImaginaryPart() methods for returning thereal part and the imaginary part of the complex number, respectively.

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I need some help generating a UML diagram from this assigment.

Design a class named Complex for representing complex numbers with the methods add,
subtract, multiply, divide, and abs for performing complex number operations, and
override toString method for returning a string representation for a complex number. The
toString method returns (a + bi) as a string. If b is 0, it simply returns a. Your Complex
class should also implement Cloneable and Comparable. Compare two complex numbers
using their absolute values.
Provide three constructors Complex(a, b), Complex(a), and Complex(). Complex()
creates a Complex object for number 0, and Complex(a) creates a Complex object with 0
for b. Also provide the getRealPart() and getImaginaryPart() methods for returning the
real part and the imaginary part of the complex number, respectively.

Expert Solution

Step 1 of 2

public class Complex implements Cloneable {

    private double a;
    private double b;

    public Complex(double a, double b) {
        this.a = a;
        this.b = b;
    }

    public Complex(double a) {
        this.a = a;
        b = 0;
    }

    public Complex() {
        this.a = 0;
        this.b = 0;
    }

    public double getRealPart() {
        return this.a;
    }

    public double getImaginaryPart() {
        return this.b;
    }

    @Override
    public String toString() {
        if (b < 0) {
            return this.a + " " + this.b + "i";
        } else if (b > 0) {
            return this.a + " + " + this.b + "i";
        } else {
            return String.valueOf(this.a);
        }
    }

    @Override
    protected Object clone() throws CloneNotSupportedException {
        return super.clone();
    }

    public Complex add(Complex c) {

        double real = this.a + c.getRealPart();
        double imag = this.b + c.getImaginaryPart();

        return new Complex(real, imag);

    }

    public Complex subtract(Complex c) {

        double real = this.a - c.getRealPart();
        double imag = this.b - c.getImaginaryPart();

        return new Complex(real, imag);

    }

    public Complex multiply(Complex c) {

        double real = this.a * c.getRealPart();
        double imag = this.b * c.getImaginaryPart();

        return new Complex(real, imag);

    }

    public Complex divide(Complex c) {

        double real = this.a / c.getRealPart();
        double imag = this.b / c.getImaginaryPart();

        return new Complex(real, imag);

    }

    public Complex abs() {

        double real = this.a < 0 ? -this.a : this.a;
        double imag = this.b < 0 ? -this.b : this.b;

        return new Complex(real, imag);

    }
}

===========================================================================

import java.util.Scanner;
public class Test {
    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        System.out.print("Enter the first complex number: ");
        double a = input.nextDouble();
        double b = input.nextDouble();
        Complex c1 = new Complex(a, b);
        System.out.print("Enter the second complex number: ");
        double c = input.nextDouble();
        double d = input.nextDouble();
        Complex c2 = new Complex(c, d);
        System.out.println("(" + c1 + ")" + " + " + "(" + c2 + ")" + " = " + c1.add(c2));
        System.out.println("(" + c1 + ")" + " - " + "(" + c2 + ")" + " = " + c1.subtract(c2));
        System.out.println("(" + c1 + ")" + " * " + "(" + c2 + ")" + " = " + c1.multiply(c2));
        System.out.println("(" + c1 + ")" + " / " + "(" + c2 + ")" + " = " + c1.divide(c2));
        System.out.println("|" + c1 + "| = " + c1.abs());
        Complex c3 = null;
        try {
            c3 = (Complex)c1.clone();
        } catch (CloneNotSupportedException e) {
            e.printStackTrace();
        }
        System.out.println(c1 == c3);
        System.out.println(c3.getRealPart());
        System.out.println(c3.getImaginaryPart());
    }
}