Apply a pre-commit config

[davschneller]

Also format all of the code.
And add the LuaMap to the docs.
Add cubic interpolation.

[Thomas-Ulrich]

Ok, maybe there is still room for improvement ^^
left cubic, right linear:

[davschneller]

Hmm, looks like it. :) Smoothes a lot seemingly. For clarity — is the linear version computed with the same easi version? (i.e. this one) Just to exclude that there's something more fundamentally wrong.

I'll look into the code. ...

[davschneller]

One more question; is the picture supposed to show something close to the initial setup, or after the simulation is done? If it's the latter, then how does the initial projection look like by chance? (otherwise, the left part somehow looks like the bottom left part of the right image, magnified — maybe that'll help)