Projects for Comprehensive application practice(4)
Project 1: The Complex Class
Problem Description:
A complex number is a number of the formEMBED Equation.3, where a and b are real numbers and i isEMBED Equation.3. 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 formula:
EMBED Equation.3
EMBED Equation.3
EMBED Equation.3
EMBED Equation.3
You can also obtain the absolute value for a complex number using the following formula:
EMBED Equation.3
(A complex number can be interpreted as a point on a plane by identifying theEMBED Equation.3 values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in Figure 13.12b.)
Design a class named Complex for representing complex numbers and the methods add, subtract, multiply, divide, 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.
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 and imaginary part of the complex number, respectively.
Your Complex class should also implement the Cloneable interface.
Write a test program that prompts the user to enter two complex numbers and display the result of their addition, subtraction, multiplication, and division. Here is a sample run:
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