matrixmultiply VS nalgebra

The matrixmultiply crate from the ndarray author (https://github.com/bluss/matrixmultiply) is one such implementation. It uses the same algorithm as the BLIS project (https://www.cs.utexas.edu/users/flame/pubs/TOMS-BLIS-Analytical.pdf) to partition the problem and exploit the cache hierarchy. It isn't as well tuned as eg. Intel MKL or BLIS, but the results are very respectable.

Do you plan to support integers as native types? I know there is an issue for the crate matrixmultiply for that, it seems it can be problematic because of overflow.

There's a famous crate [matrixmultiply](https://github.com/bluss/matrixmultiply) for matrix-matrix multiplication in Rust. But it's a bit slow for me.

In my benchmarks, Nim is faster than Rust:

- multithreading runtime (i.e Rayon vs Weave https://github.com/mratsim/weave)

- Cryptography: https://hackmd.io/@gnark/eccbench#Pairing

- Scientific computing / matrix multiplication: https://github.com/bluss/matrixmultiply/issues/34#issuecomme...

There is no inherent reason why a Nim program would be slower than Rust.

Ok, so this uses https://rapier.rs/ which is very cool

Rapier, alongside https://nalgebra.org/ (which it uses underneath) has seriously good documentation and some advanced features like cross-platform determinism (something made hard by the way floating point differs between platforms)

> Some GA libraries[1][2] define types for the different kind of objects (grades)

That's nice!

This reminds of me things like, linear algebra libraries that will type-check matrices so that a 2x2 matrix can't be added to a 2x3 matrix (but then you can have a dynamic matrix that will error only in runtime), like https://nalgebra.org/ and others.

Maybe start by looking at https://nalgebra.org/ to see what rust math libraries might look like

And Nalgebra, while better, also seems to have slowed down on commits and responses to issues and PRs. I have a PR there for a relatively simple wrapper type for row vectors which was explicitly requested by a maintainer, which hasn't even gotten a comment since for two weeks.

nalgebra (similar to Eigen in cpp)

nalgebra

nalgebra is for linear algebra.

Take a look into math libraries, like glam, nalgebra, and cgmath. I've only used these through game engines, though, so I can't offer per-basis reviews/advice.

If you do not need GPU then I would recommend looking into Eigen in C++, nalgebra in Rust (with a BLAS in both cases for improved performance) or one of the above options (Julia / Python+JAX).