Teaching 2500 F '12 Assignments The Hand In Set 1 Set 2 Set 3 Set 3h Set 4 Set 4h Set 5 Set 5h Set 6 Set 6h Set 7 Set 7h Set 8 Set 9 Set 8h Set 10 Set 9h Set 11 Set 12 Set 10h

### Problem Set 7

Due date: 10/24 @ 11:59pm

Programming Language: Beginning Student Language with List Abbreviations

Problem A1:

Develop the Missile Defense game. In this game you control an artillery gun centered at the bottom of a 500x500 pixel canvas. Clicking the mouse anywhere on the canvas causes one bullet to be fired from the gun in that direction. The "enemy" is simultaneously firing missiles at you. Unlike bullets, which are always launched under your control from the gun, missiles are launched randomly from invisible silos just above the top of the canvas. There is a silo at every possible horizontal location (i.e. missiles may start out at any in-bounds x coordinate), and each missile has a random direction but always aims downwards so that, unless you shoot it down, it will reach the bottom of the canvas without going out of bounds. Once shot, both missiles and bullets travel in straight lines. A missile is shot down when a bullet collides with it; in that case both the bullet and the missile "explode" (i.e. disappear). Both bullets and missiles are represented as circles, though their radii and color should be different to distinguish them.

Note that it should be possible for the missiles to travel "downwards" at an angle, not just straight down. That is, missiles should start at y=0 with any random in-bounds x-coordinate (i.e. in the range 0 to 499) and end at y=499 with any random in-bounds x-coordinate, not necessarily the same x-coordinate at which they started.

The goal of the game is to survive as long as possible. You start out with an initial health count, which is decremented by one each time a missile reaches it all the way to the bottom of the canvas. The game is over when your health count reaches zero. You are not required to display the health count (though you can if you like), but you are required to make the game end when it reaches zero.

Here is an image of the game in play:

``` ;;; A Sprite is a (make-sprite Posn Posn Number String)
;;; where
;;; - LOC is the sprite's location
;;; - VEL is its velocity
;;; - SIZE is the radius of the sprite
;;; - COLOR is its color.
;;; Location, velocity and size are in computer-graphic/pixel coordinates.
;;; A sprite represents either an attacker's missile or a defender's
;;; anti-missile bullet.

(define-struct sprite (loc vel size color))

;;; A LOS (list of sprites) is one of:
;;; - empty
;;; - (cons Sprite LOS)

;;; A world structure is a (make-world LOS LOS Number)
;;; - missiles: the missiles attacking the player
;;; - bullets: the missiles launched by the player
;;; - health: current health of the player -- game-over if health <= 0
(define-struct world (missiles bullets health))
```

Top Level Functions: We also strongly suggest you use these top-level functions:

```;;; move-bullets: World -> World
;;; Move the bullets one time step and remove any that have gone off screen.

;;; move-missiles: World -> World
;;; Move the missiles one time step.

;;; remove-dead-missiles-and-bullets: World -> World
;;; Remove every missile that is touching some bullet and vice-versa.

;;; detonate-missiles: World -> World
;;; Remove missiles that landed... and decrement the player's health if any did.

;;; maybe-fire-missile: World -> World
;;; If we haven't maxed out on missiles, launch another one.
```

Note the shared functionality in some of these. For example, both `move-bullets` and `move-missiles` need to advance every `Sprite` in an `LOS`. And both `move-bullets` and `detonate-missiles` need to cull out-of-bounds `Sprite`s. You should implement helper functions for operations like these so that you don't end up writing the same `Sprite` processing code in multiple places.

On-Tick Handler: Given those functions, this should be the organization of your `on-tick` handler:

```;;; update-world: World -> World
;;; Step the world one tick.
```
1. Move the bullets and remove offscreen ones.
2. Move the missiles.
3. Kill any destroyed missiles.
4. Detonate the missiles that landed.
5. Maybe launch another missile.

Additional Advice:

 last updated on Sun Dec 2 14:52:34 EST 2012 generated with Racket