Computers and Technology

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 sqrt(-1). 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. 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. Include a default constructor that initializes an object to 0(that is, to 0 + 0*i). Overload all the following operators so that they correctly apply to the type Complex: ==, +, -, *, >>, and <<. You should also write a test program to test your class. In the interface file, you should define a constant i as follows: const Complex i(0,1);

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Define a class for complex numbers. A complex number is a number of the form a + b*i where for our p...

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