Game of Life: big-bang

Now we have everything we need to run big-bang!

Exercise 1: run-life

The Racket icon Write a function run-life that takes an initial world state and calls big-bang with the appropriate configuration that it runs Conway’s Game of Life. All you need to specify are on-tick and to-draw, and you’ve (hopefully) already written the functions you need for both of those functions.

You should be able to try it out with commands like:

; (run-life blinker)
; (run-life glider)
; (run-life (shift-cell-list (random-world 10 10) (make-posn 40 40)))

The first should just give you a blinker in the upper left corner that oscillates back and forth until you stop it. The second should give you a single glider that starts in the upper left corner and “walks” down and to the right.

The last creates a block of random cells roughly in the middle of the window, which then go forward in time in whatever direction that random configuration and the rules leads. You can change (random-world 10 10) to (random 20 20) and you’ll perhaps get a more interesting result, although it’s likely to run more slowly, perhaps much more slowly, especially if there are a substantial number of living cells.

Play around and have some fun!

Ways we could fancy this up

If you’ve got run-life working, you’re done! There are ways we could make this cooler, though, and you should feel free to explore some if you want.

Add control buttons

It would be cool, for example, to have play, pause, step forward, step backward, etc. buttons, maybe at the bottow of the window underneath the “world”. This wouldn’t be hard, but it would require some drawing and implementing the click logic in an on-mouse function.

You’d also probably need to extend the world state to be a `struct that included a boolean that indicated whether the simulation was running or paused, and the list of live cells in the current generation.

Stepping forward would be no problem, but stepping backward would be a bit of work. What would you need to do to make that happen?

Add the ability to turn cells on or off

It would be nice if you had some on-mouse functionality that would allow the user to click on cells to flip their state, i.e., turn live cells to dead, and bring dead cells to life.

This wouldn’t be too bad, although you’d have to map from the location of the mouse click in pixel space back to the correct cell location in cell space.

Handle large numbers of cells more efficiently

The solution outlined in these exercises works and is pretty fast as long as you don’t have too many live cells spread out across the world. If you get a lot of cells scattered about, though, it begins to bog down pretty badly.

  • Can you figure out why? Which part of all this code is the bottleneck?
  • Once you identify the bottleneck, how could you make that go faster?

It turns out that this isn’t trivial given the tools we have at the moment. If you next Data Structures, though, you’ll learn about some neat data structures like hash tables and binary search trees that might be useful in attempting to speed this up. In “full” Racket (i.e., past the student languages) there are additional tools that we could use to make things go faster, but they often use features we haven’t covered.

Originally written by @elenam, with subsequent modifications by @NicMcPhee