lisp-interface-library VS polymorphic-functions

What are your thoughts on the Lisp Interface Library? I recognize that it doesn't cover some of your use cases since LIL is designed in a dynamic manner and does not provide the sort of compile-time type shenanigans that coalton can. Just from the standpoint of providing parametric polymorphism though, dynamic or not, what do you think of it?

If performance is a concern, then you would want to stick to CLHS provided simple-array and create appropriate types using deftype, and then dispatch on the types either by yourself, or by using something like polymorphic-functions and polymorph.maths.

If you want to dispatch on vectors, you can try out polymorphic-functions which was made for the express purpose of dispatching on specialized arrays aka types rather than classes.

Since the past year or two, I have been working on numericals that aims to provide the speed of NumPy with the goodness of Common Lisp. In particular, this includes the use of dynamic variables, restarts, and compiler-notes wherever appropriate. It uses CLTL2 API (and may be slightly more) under the hood to provide AOT dispatch, but nothing stops you from combining it with JAOT dispatch provided by numcl/specialized-function. This also spawned a number of projects most notably polymorphic-functions to dispatch on types instead of classes and extensible-compound-types that allows one to define user defined compound types (beyond just the type-aliases enabled by deftype. Fortunately enough, interoperation between magicl, numcl and numericals/dense-numericals actually looks plausible!

Before reading this, please go and check out https://github.com/digikar99/polymorphic-functions which this project is fully based on. It's great.

What I am calling parametric polymorphism is this test: