Problem Description:

Declare and define a class for a complex number. A complex number in mathematics is defined as x+yi , where x defines the real part of the number and y is the imaginary part.

Requirements (Program to be written in C++):

Define a complex class that has the following member functions:

o constructor that initializes the complex number by default arguments

o set function that sets the real part of the complex number

o set function that sets the imaginary part of the complex number

o get function that returns the real part of the complex number

o get function that returns the imaginary part of the complex number

o a function that displays the complex number

Add the following nonmember functions in your complex header file and implementation file :

o A function that returns the sum of two complex numbers

o A function that returns the difference of two complex numbers

o A function that returns the product of two complex numbers

o A function that returns the quotient of two complex numbe

Write the class in header and implementation files , and compile it separately from the client program