Booleans and conditionals

Assignment overview

In this assignment, you’ll warm up by writing a couple functions using if and cond, then you’ll create some more sophisticated animations that these features enable.

Submission instructions

Please write the following functions (with contracts) in a file called YourNameBooleans1.rkt. Upload this file to Google Classroom, and leave me a comment (on Classroom) explaining how you tested your code (e.g., “I tested out each function in the interactions area”) and what happened (e.g., “they all worked!”).

Problems

1Wide or tall?

Design a function that takes in an image as input, and returns a string describing the shape of the image as “wide”, “tall”, or “square”. An image is considered wide if it is wider than it is tall; tall if it is taller than it is wide; and square if has equal width and height.

2Leap year

Design a function that takes in a number representing a year (e.g. 1973), and returns #true if that year is a leap year, #false otherwise. (Look up the definition of a leap year–it’s not as simple as you think! For example, the year 1400 is not a leap year, but 1600 is.)

3Boat race

Write an animation function (that is, boat-race : Number -> Image) such that (animate boat-race) shows two boats, traveling left to right, at different speeds. Both boats should stop when they reach the end of the screen.

4Conversation

Write an animation function (conversation : Number -> Image) such that (animate conversation) shows two people (or other animal of your choice) meeting each other in a room (one should enter from the left, and one from the right) then stopping and saying “Hello!” to each other. We should see the word “Hello!” appear in one color, near one person’s mouth, and then afterward, in another color, near the other person’s mouth. The attached video should give an idea of what is expected!

Extra Challenge: Car crash

Define variables CAR-1-X-SPEED, CAR-1-Y-SPEED, CAR-2-X-SPEED, CAR-2-Y-SPEED, CAR-1-START-X, CAR-1-START-Y, CAR-2-START-X, CAR-2-START-Y. Then define a function car-crash that displays an animation in which two cars start at their respective start locations and travel at a constant speed in their respective directions (as determined by the speed variables, which might be negative, indicating “backward” movement). If the two cars hit each other, we should no longer see the cars on screen and only see some indication of the crash (perhaps the word “CRASH!” or an image of an explosion). Changing the variables you defined should change the animation accordingly, without having to modify other pieces of the code.