CSci 1301: Takehome 1

Due: Wednesday, October 14 at 11:59pm by e-mail (no late work accepted)

Total: 28 points

This is individual work. You are not allowed to spend more than 6 hours on this test. This includes any reading that you do to help you solve the problems.

Use helper functions as needed. All your functions (including all those you use in big-bang) must have documentation with the types of parameters and results, a function description, and, whenever possible, check-expect tests.
When defining your own structures, clearly explain what all the fields mean.
Comments, helpful variable names, and good code style and formatting are a very important part of your grade. You don't have to look for the shortest solution, but you should eliminate unnecessary code repetition if possible (use helper functions).

Task 1 (8 points): position on diagonal

Write a function on-diagonal? that consumes a posn structure and the size of square canvas (a positive integer) and and returns #true if the coordinates given by the position are on either one of the diagonals of the canvas (the one from left upper corner to the right lower one, or the one from the left lower corner to the right upper one) and #false otherwise. Write the contract and your own check-expects. You don't need to do any drawing, although you may draw the scene and the dot at the given position to check your answer (just for yourself).

Task 2 (20 points): a world problem

Your goal is to implement a simple game in which players are presented with three doors, one of which has a goat behind it. They open doors until they find a goat or there is only one closed door left.
Below are some sample images of the game:
Specifically:

• At first the picture displays three closed doors (see the top image above)
• The player may select a door by pressing a key 1, 2, or 3. Once a door is selected, it opens. If there is no goat behind it then an empty space behind it is shown (see the middle image above).
• If a door is opened and there is a goat behind it, the goat is shown and the game ends (no other player actions result in any doors opening).
• If the player opened two doors and didn't find the goat, the game also ends (the player has lost), and no further actions are possible.
• Start your implementation with just setting the position of the goat at the beginning of your program as a constant. Once you implement opening doors, switch to a random door: use the random number generator at the beginning of your program to set the door. (random 3) returns 0, 1, or 2 with equal probabilities. Make sure you set the goat door only once in the beginning of your program so that it doesn't get reset in the middle.
• Think carefully of what your world state needs to be to encode all the information that is needed for the game. The goat position is constant and does not need to be included into the world state.
• After you have tested your porgram with selecting doors by keys, implement the ability to click on doors to open them. Approximate the area of the door as well as you can, it doesn't have to be perfect. The same game rules apply. In particular, the game stops once the player find the goat or only one door is left closed.
• Test your program with a combination of clicks and key presses. For instance, the player may press a key to open a door, and then click on another door to open it.
• For up to 3 points of extra credit, dsiplay "You won!" or "You lost" once the game ends.

You may use this picture of a goat: The color of the doors is "tan", the canvas are 400 by 200 pixels, the doors are 100 by 120 pixels.

You need to clearly describe what your world state is at the beginning of your file.

Happy programming!

What to submit

Submit all your files as attachements in an email to me. Please include your name and a task number at the beginning of each file, in a comment. In your email message please include any comments about what works and what doesn't, as well as thoughts on how you would've continued if you had more time (if you run out of time). Also please include the total time you spent on the test.

CSci 1301 course web site.