Python code to create an ellipse class. Feel free to create a class and implementation. no structure needed

Overlapping Ellipses An ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. - Wikipedia. V APE PEN V . PRI+PEI=20 In this assignment you will use a Monte Carlo Simulation to estimate the overlap between two Ellipses. Part 1: Ellipse Class (25 points) A. Write a class to capture the necessary information of an ellipse. B. Write code to thoroughly test your implementation of the ellipse class including: a. A constructor that accepts no variables. b. A constructor that accepts all appropriate variables. C Setting and getting the appropriate variables. d. A function that returns the area of the ellipse e. A function that returns the circumference of the ellipse. Part 2: Structure Chart (15 Points) Using the top-down strategy discussed in class, produce a structure chart to capture the necessary steps for computing the overlap of two ellipses using the Monte Carlo Technique. A. Each block of the chart should capture the requirements of a function. B. Label each edge with the input and output of the function, similar to the examples given in class. NOTE: DO NOT ATTEMPT TO IMPLEMENT YOUR SOLUTION UNTIL YOU THOROUGHLY UNDERSTAND THE PROBLEM AND HAVE MAPPED OUT YOUR SOLUTION. Part 3: Implementation (25 Points Implement your solution described by your structure chart. Your function should accept two Ellipse objects (defined in part 1) and return the area of their overlap. Use a Monte Carlo simulation to estimate the overlap. If they do not overlap, return 0. Part 4: Unit Testing (15 Points) For this part, you will thoroughly test your implementation. For EVERY function, beginning with the lowest level functions: A. Print the name of the function. B. Print the doctstring of the function. C. Print the rationale for the test (e.g. "Testing when a point falls within an Ellipse.") D. Print the specific input used to evaluate that rationale. E. Print the result. F. Repeat C-E until all relevant cases are tested for that function