Actually figure out how geometric algebra works.

[WaDelma]

Good video source:
https://www.youtube.com/playlist?list=PLpzmRsG7u_gqaTo_vEseQ7U8KFvtiJY4K

[micahscopes]

I'd love to chat about this! Do you hang out on IRC?

[WaDelma]

My nick is 'delma' at irc.mozilla.org

[porky11]

@WaDelma
I made something like that myself now.
It's not finished yet, but it should already work for most use cases of 2D (or lower dimensions).
So if you want to use something like that, instead of creating it yourself, or just want to have a reference in rust, you may look at it.
I just got the examples to work, so the bugs are hopefully fixed, but don't expect, that everything works as it should.

[WaDelma]

There is also https://github.com/Limeth/hestenes
I am not sure if I will be working on this library before integer generics are stable.

[porky11]

Mine already works for 0D, 1D, 2D, 3D (except some incorrect types when using the efficient implementations instead of general multivectors), not yet 4D, there was some bug when compiling.
Also mine defines the most efficient types for every dimension. (3D vectors are represented as arrays of 3 elements, 3D rotors as arrays of 4 elements, 4d bivectors are arrays of 6 elements, etc) and the type after multiplication is automatically computed, so it returns the minimal implementation.
I also already created a simple example physics engine using GA here. It doesn't yet work for yet for 3D because of the incorrect types.

hestenes doesnt look like it's already usable and I'm not sure, if it works in the most efficient way.

[porky11]

I looked at mine again, I really have to redefine the inner and geometric product, they don't work correctly at all, even if it works in my 2d example as expected.