CPSC 170 Sub Post Lab 7
Complex Quadratic Polynomials
Due Before Class on Friday, March 2^nd

The post lab 7 assignment involves creating a fractal by performing calculations with complex numbers. So, for this sub-post-lab assignment you will implement a complex number class. The file Complex.java contains a class that represents a complex number. It has instance data, a constructor, and a toString method.

The Complex class has a method called quadPolyBound. This method computes the number of iterations of the quadratic polynomial function that can be completed with this complex number before its absolute value exceeds the specified bound. The quadratic polynomial function sometimes does not have any bound. In order to prevent infinite recursion or loops, the method should stop testing if the number of iterations exceeds the specified maximum.

The quadratic polynomial function can be defined recursively as:

c_n = c_n-1² + c₀

Where c₀ is the complex number this and c_n is the n^th complex number computed by the quadratic polynomial function. In order to complete the quadPolyBound method you will need to add, multiply, and take the absolute value of complex numbers. Two complex numbers are added using the equation:

(a + bi) + (c + di) = (a + c) + (b + d)i

Two complex numbers are multiplied using the equation:

(a + bi)(c + di) = (ac - bd) + (bc + ad)i

The absolute value of a complex number is computed using:

|a + bi| = √(a²+b²)

Submission: Submit your code as a zip file with your name as the zip file name on the course Inquire site.