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

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Question:

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 .
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 the 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 realPart and define the constructor so that the object will be initialized to realPart+0*i.
Also include a default constructor that initializes an object to 0 (that is, to 0+0*i).
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*d + b*c)*i
In the interface file, you should define a constant i as follows:

const Complex i(0, 1);
This defined constant i will be the same as the i discussed earlier.

delete p;