Define a class for complex numbers. A complex number is a number of the forma + b * iwhere...

Define a class for complex numbers. A complex number is a number of the form

a + b * i

where, for our purposes, a and b are numbers of type double, and i is a number that represents the quantity >pl. Represent a complex number as two values of type double. Name the member variables real and imaginary. (The variable for the number that is multiplied by i is the one called imaginary.) Call die class Complex.

Include a constructor with two parameters of type double that can be used to set the member variables of an object to any values. Also include a constructor that has only a single parameter of type double; call this parameter real_part and define the constructor so that the object will be initialized to real_part+0*i. Also include a default constructor that initializes an object to 0 (that is, to 0+0*7’). Overload all of the following operators so that they correctly apply to the type Complex: ==, +, −, *, », and «. You should write a test program to test your class.

(Hints: To add or subtract two complex numbers, you add or subtract the two member variables of type double. The product of two complex numbers is given by the following formula:

(a + b*i)*(c + d*i) = (a*c -b*d) + [a*A + b*c)*i

In the interface file, you should define a constant i as follows: const Complex 7(0, 1);

This defined constant i will be the same as the i discussed earlier. delete p;