CSCI 107 Assignment 7

• Due Date: Wednesday, November 9th no later than 11:59 p.m.
• Partner Information: You may complete this assignment individually or with exactly one classmate.
• Submission Instructions (working alone): Upload your solution, entitled YourFirstName-YourLastName-Assignment7.py to the BrightSpace Assignment 7 Dropbox.
• Submission Instructions (working with one classmate): Upload your solution, entitled YourFirstName-YourLastName-PartnerFirstName-PartnerLastName-Assignment7.py to the BrightSpace Assignment 7 Dropbox. Note: If you work with a partner, only one person needs to submit a solution. If you both submit a solution, the submission that will be graded is the one from the partner whose last name comes alphabetically first.
• Deadline Reminder: Once the submission deadline passes, BrightSpace will no longer accept your submission and you will no longer be able to earn credit. Thus, if you are not able to fully complete the assignment, submit whatever you have before the deadline so that partial credit can be earned.

Estimating Pi

The purpose of this assignment is to give you more experience using while loops to solve problems.

For this assignment, you will write a program to estimate the value of pi using the Leibniz formula.

Starting Python Program

Download and rename assignment7.py according to the instructions above. Do not modify any of the provided code. All you need to do is to supply the missing function and update the comments as appropriate.

Sample Output Transcript

This transcript shows three runs of the program. The user enters (1) the desired precision of the estimate, a non-negative number and (2) the maximum number of trials to reach this desired precision, a non-negative integer. The missing function is then called. The initial estimate for pi/4 is 1 and Trial 1 produces an estimate of 2/3 (1 - 1/3). The function should continue running until either the desired precision is reached or the maximum number of trials have been conducted. The desired precision is reached when the absolute difference between two consecutive estimates is less than the value that the user requested.

Requirements and Grading

• 10 points - A function named leibniz_pi_estimate exists (4 points) with the appropriate two parameters (3 points each).
• 45 points - The function will be tested on 3 different sets of inputs. The correctness of each test is worth 20 points.
• 15 points - A while loop is used correctly in the missing function. (All or nothing).
• 15 points - The output format of the transcript is matched exactly. (5 points for each type of difference.)
• 15 points - The Python solution is commented correctly, easy to understand and does not contain unnecessary code (3 points per type of improvement possible). Remember to provide a comment for the function.