Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
Object-Oriented Programming Assignment #3 A complex number is a number in the form a + bi, where a and b are real numbers and į is V-1. The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas

Object-Oriented Programming Assignment #3 A complex number is a number in the form a + bi, where a and b are real numbers and į is V-1. The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
Problem 20PE: When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making...
See similar textbooks
icon
Related questions
Question

Object-Oriented Programming Assignment #3 A complex number is a number in the form a + bi, where a and b are real numbers and į is V-1. The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas

 

 

ICS 108 - Object-Oriented Programming Assignment # 3 A complex number is a number in the form a + bi, where a and b are real numbers and į is V-1. The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:| a + bi + c + di = (a + c) + (b + d)i a + bi – (c + di) = (a – c) + (b – d)i (a + bi) * (c + di) = (ac - bd) + (bc + ad)i (a + bi)/(c + di) = (ac + bd)/(c² + d?) + (bc – ad)i/(c² + d?) You can also obtain the absolute value for a complex number using the following formula: la + bil = Ja² + b2 (A complex number can be interpreted as a point on a plane by identifying the (a, b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin. Design a class named Complex for representing complex numbers and 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 getImaginaryPart0 methods for returning the real part and the imaginary part of the complex number, respectively. Write a test program that prompts the user to enter two complex numbers and displays the result of their addition, subtraction, multiplication, division, and absolute value. Here is a sample run: 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
Transcribed Image Text:ICS 108 - Object-Oriented Programming Assignment # 3 A complex number is a number in the form a + bi, where a and b are real numbers and į is V-1. The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:| a + bi + c + di = (a + c) + (b + d)i a + bi – (c + di) = (a – c) + (b – d)i (a + bi) * (c + di) = (ac - bd) + (bc + ad)i (a + bi)/(c + di) = (ac + bd)/(c² + d?) + (bc – ad)i/(c² + d?) You can also obtain the absolute value for a complex number using the following formula: la + bil = Ja² + b2 (A complex number can be interpreted as a point on a plane by identifying the (a, b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin. Design a class named Complex for representing complex numbers and 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 getImaginaryPart0 methods for returning the real part and the imaginary part of the complex number, respectively. Write a test program that prompts the user to enter two complex numbers and displays the result of their addition, subtraction, multiplication, division, and absolute value. Here is a sample run: 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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Data members
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
C++ Programming: From Problem Analysis to Program…
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning
C++ for Engineers and Scientists
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr
EBK JAVA PROGRAMMING
EBK JAVA PROGRAMMING
Computer Science
ISBN:
9781305480537
Author:
FARRELL
Publisher:
CENGAGE LEARNING - CONSIGNMENT
EBK JAVA PROGRAMMING
EBK JAVA PROGRAMMING
Computer Science
ISBN:
9781337671385
Author:
FARRELL
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Microsoft Visual C#
Microsoft Visual C#
Computer Science
ISBN:
9781337102100
Author:
Joyce, Farrell.
Publisher:
Cengage Learning,
Programming Logic & Design Comprehensive
Programming Logic & Design Comprehensive
Computer Science
ISBN:
9781337669405
Author:
FARRELL
Publisher:
Cengage
SEE MORE TEXTBOOKS