Lab 10: Test Review and Fun Drawings

As usual, create a directory to hold today's files. All programs that you write today should be stored in this directory.

$ cd ~/cs120/labs
$ mkdir lab10
$ cd lab10

For review for Monday, answer the following programming questions:

1. Write a function print_name(name, times) which prints your name the specified number of times.
2. Write a function sum_powers(n), which computes the sum of the numbers in the set:
   $$\{x^{x} \mid 0 < x \leq n\}$$
   Which in sigma notation is:
   $$ \sum\limits_{x=1}^{n} x^x = 1^1 + 2^2 + 3^3 + \ldots + n^n$$
3. Write a function calledcompute_product(n), which computes the series:
   \[\prod\limits_{x=2}^{n} \frac{x}{x-1} = \frac{2}{1} \times \frac{3}{2} \times \frac{4}{3} \times \ldots \times \frac{n}{n-1}\]

Since we have a test on Monday, lets do a little bit of a fun activity. One of the badges of honor for the CS major comes from the CS120 class: drawing a fish. This activity was originally created by Dr. N. Jane Ingram and Dr. Adrienne Bloss for their Java labs in the 2000's. We are keeping their tradition alive today.

Details

Create a function draw_fish_at(x, y) in a file called fish.py. This function takes two integers as parameters, which is the location on the turtle window to draw a line drawing of a fish. Your fish should be drawn centered on the specified coordinate.

Start on paper first!. The activity will progress much easier for you if you figure out the coordinates of various points before you begin coding. Start with a plan and your code will come together very quickly.

Make sure to test your function by calling the function multiple times with different parameters. Make sure your code follows the course's code conventions.

Example

Hint

View Hint

While this looks very complicated, it's just two partial circles and three lines. You just need to figure out the locations of certain points before you get started. Consider the following image if you need assistance:

Where the fish is 3 × r pixels wide from tail to the tip of the head.