Thanks for your proposition! Can you give some uses you see for Minecraft?

I'm not the most creative person, the big use I see is mostly in just making cool VFX. If you want examples, here's two effects ive done using them: https://youtu.be/ykD7muPQkD0 (4 point and 3 point beziers, respectively). I also have this clip from awhile ago that uses them for lightning: https://youtu.be/6YeJW4Yh3JI

Aside from that I can see niche uses for, as mentioned above, projectile attacks and such (most of my datapack experience is in boss/enemy/weapon design). That and camera paths, but you guys seem to already be working on a module for that.

Really, the main use is just: making cool looking things. If that's not enough of a reason to add something to your lib, then that's totally ok, just wanted to put the idea out there.

Thank you very much! We will see if we have time to implement that after your current tasks.
If someone else is interested in implementing this system, do not hesitate to say it here!

I think we should move this to a separate module, since we'll need other type of splines for the camera module. Maybe a module interpolate?

To start the module i propose to only have evaluation functions for the following splines (bezier, bspline, catmull rom, and hermite). I think derivative could be nice to have then, Not sure we need acceleration and jolt and i'm not sure it's that useful to compute control points directly inside minecraft. Then we could implement functions to compute arclen and to walk a curve with constant speed but this is pretty heavy to do