Design a class named Complex for representing complex numbersInclude methods add, subtract, multiply, divide, and abs for performing complex-number operationsOverride 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 0Complex(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. (2) Draw the UML class diagram and implement the class. (3) Write a Test programPrompt the user to enter two complex numbersDisplays the result of their addition, subtraction, multiplication, division, and absolute value.A sample run is shown below: Enter the first complex number: 3.5 5.5 Enter the second complex number: –3.5 1 (3.5 + 5.5i) + (–3.5 + 1.0i) = 0.0 + 6.5i(3.5 + 5.5i) – (–3.5 + 1.0i) = 7.0 + 4.5i(3.5 + 5.5i) * (–3.5 + 1.0i) = –17.75 + –15.75i(3.5 + 5.5i) / (–3.5 + 1.0i) = –0.5094 + –1.7i|(3.5 + 5.5i)| = 6.519202405202649

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Answered: Design a class named Complex for…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Design a class named Complex for representing complex numbers

Include methods add, subtract, multiply, divide, and abs for performing complex-number operations
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
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.

(2) Draw the UML class diagram and implement the class.

(3) Write a Test program

Prompt the user to enter two complex numbers
Displays the result of their addition, subtraction, multiplication, division, and absolute value.

A sample run is shown below:

Enter the first complex number: 3.5 5.5

Enter the second complex number: –3.5 1

(3.5 + 5.5i) + (–3.5 + 1.0i) = 0.0 + 6.5i

(3.5 + 5.5i) – (–3.5 + 1.0i) = 7.0 + 4.5i

(3.5 + 5.5i) * (–3.5 + 1.0i) = –17.75 + –15.75i

(3.5 + 5.5i) / (–3.5 + 1.0i) = –0.5094 + –1.7i

|(3.5 + 5.5i)| = 6.519202405202649

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