Almost a Decent Coordinate Plane

I’ve spent the last few mornings reverse-engineering the coordinate plane in the Desmos Graphing Calculator. I think I’m almost there:

All I have left to do is render the labels correctly. (You can see an example of this not happening towards the end of the video.)

The code that implements this is compact (just a few hundred lines) and, I believe, fairly efficient (it only allocates memory to create the labels).

I’m planning on using this in a little playground for exploring 2D real linear transformations. I’ll render two coordinate planes: one for the domain and the other for the image; you’ll be able to draw on the domain and see your drawing transformed on the image plane; the transformation will be a configurable matrix, possibly with a few bells and whistles.

Once I figure out the labels I’d also like to write up a tutorial on how this works, since it might be useful to others.