Assignment Statement: 1. Write a class that represents a complex number (i.e. a number with both real and imaginary parts). Also write a main method that "exercises" your complex number class and shows correct results for adding, subtracting, multiplying, and dividing multiple complex numbers. Tip: when testing your program to make sure your calculations are correct, use www.wolframalpha.com to verify your calculations. Writing class ComplexNumber: First, the class that defines a complex number: See below for a refresher on complex numbers. Your class will have a constructor that takes two floats as parameters. The two floats will represent the real (a) and imaginary (b) parts of the complex number. Your class will have eight methods. Four of the methods will implement complex number addition, subtraction, multiplication, and division. Each will take a parameter: the other complex number to be added to, subtracted from, multiplied by, or divided into this complex number. Each of these methods will return a new complex number that is the result of the operation. You will also need two getter methods to return the a and b parts of the complex number. You will provide an equals method by overriding Object's equals method. The last method will be a toString method that will return a string representing the complex number. Here is a sketch of the class with the method for addition completed for you (You're welcome!). class Complex Number ( // The instance variables a and b representing // the real parts of the complex number private float a; private float b; public ComplexNumber (float a, float _b) { } /* You fill in here! */ public ComplexNumber add (ComplexNumber otherNumber) { ComplexNumber newComplex; } //... float newA a + otherNumber.getA(); float newB b + otherNumber.getB(); newComplex = new ComplexNumber (newA, newB); return newComplex; /* You will fill in the rest of the methods */ //... About Complex Numbers: Recall that a complex number is a number a+bi where i = -1 and a and b are real numbers. To add two complex numbers: (a+bi) + (c+di) = (a+c)+(b+d)i Similarly, to subtract two complex numbers: (a+bi)-(c+di) = (ac)+(b-d)i To multiply two complex numbers: (a + bi)(c + di) = (ac - bd) + (bc + ad)i Finally, to divide two complex numbers: a+bi c+di (ac+bdy bc-ad + Ac + d, Ac + d2, Due Date You need to complete this assignment and have it pushed to the remote repository on the Git server by the date/time specified on Moodle. There should be a README.txt file stating exactly how to compile, run, and test your code. Bonuses, if you chose to do them, should be separate (in subdirectories labeled bonus1, etc.) and fully complete implementations beyond the required one (in other words, start working from a fully implemented original copy in the subdirectory to do the bonus). BONUS 1 (20 points): (Required for Honors Students) - Define a class RealNumber (a number without the imaginary part) and define methods in ComplexNumber that allow all the above operations on mixtures of RealNumbers and Complex Numbers. Comment and test as above. BONUS 2 (10 points): Can code duplication be reduced by using inheritance and having a common abstract superclass and/or interface? Implement and test this....