Chapter 21, Problem 21.16E

(Complex Class) Write a program that accomplishes each of the following:

1. Create a user-defined class Complex that contains the private integer data members real and imaginary and declares stream insertion and stream extraction overloaded operator functions as friends of the class.
2. Define the stream insertion and stream extraction operator functions. The stream extraction operator function should determine whether the data entered is valid, and, if not, it should set failbit to indicate improper input. The input should be of the form $3+8\text{i}$
3. The values can be negative or positive, and it’s possible that one of the two values is not provided, in which case the appropriate data member should be set to 0. The stream insertion operator should not be able to display the point if an input error occurred. For negative imaginary values, a minus sign should be printed rather than a plus sign.
4. Write a main function that tests input and output of user-defined class complex, using the overloaded stream extraction and stream insertion operators.