The same is true of monomorphization in presence of typeclasses (or traits, concepts, etc). I have some ideas about how to do such incremental compilations optimally, but they haven’t been written down.
Anyway, I totally agree with you. I don’t mean to suggest this is the best way to do things - if anything Rust/C++/etc have taught us excessive monomorphization is probably not the way to go for developer experience reasons. You may be able to imagine some interesting derivative of the scheme presented here with something like Swift’s “witness table”-based compilation of protocols, which may be much more compile-time performant, and support separate compilation. But, I don’t even have a sketch of that. This is only one technique and the design space is very wide.
fun reverse(xs : list<a>, k : list<a> -> list<a>)
match xs
Cons(x, xx) -> reverse(xx, \ys -> k(Cons(x, ys)))
Nil -> k(Nil)
Here, the `k` that is recursively passed depends on the previous `k`. As such `k` should be as large as the input list and can not be stack-allocated?Although, if you know at compile time the size of the list, you could imagine compiling the recursive data type “unrolled” into a statically-sized array - but now you need dependent types.
You may also be interested in the stack allocation system in OCaml: https://www.youtube.com/watch?v=yGRn5ZIbEW8 In particular, Stephen gives a nice example in the end how it can avoid some allocations of lambdas (but it also would need to box the closure in the CPS-reverse).
You may also be interested in
Jeffrey M. Bell, Françoise Bellegarde, and James Hook. “Type-Driven Defunctionalization,” ICFP ’97, . Association for Computing Machinery, New York, NY, USA, 25–37. 1997. doi:10.1145/258948.258953.
and Andrew Tolmach, and Dino P Oliva. “From ML to Ada: Strongly-Typed Language Interoperability via Source Translation.” Journal of Functional Programming 8 (4). Cambridge University Press: 367–412. 1998.
who thought about whole-program-defunctionalization before.Thanks for the links - I’ve seen them, and it’s interesting that defunctionalization is usually an optimization. The “Type-driven …” paper is the earliest work I’m aware of that does it over surface types, but doesnt “go all the way”.
Id love to chat more - a link to email can be found around the post, including at the bottom.