I'm no expert on algebras, but I think the way to work on this is not to think "what Racket constructs are close that I might coopt to express what I want?" but instead to think "what do I want my programs to look like" and then design the language from there, reusing libraries as they seem helpful or designing new ones that do what you want. Racket's language-implementation facilities are pretty powerful (of course, if there is nothing like what you end up needing, there will still be actual programming to do ;).
Robby On Tue, Jan 19, 2021 at 4:58 PM Stuart Hungerford < stuart.hungerf...@gmail.com> wrote: > Hi Racketeers, > > I'd like to try re-implementing a library for experimenting with abstract > algebraic structures in Racket (that is groups, fields, rings etc, not > algebraic data types like sum or product types). With Racket's strong > numeric hierarchy and programmable programming language philosophy it seems > like a good environment for experimenting with mathematical structures. > > This library was originally developed in Rust and more recently Haskell > and made heavy use of Rust traits and Haskell typeclasses to implement > these structures for the builtin numeric types as a well as my own derived > numeric types (e.g. finite fields). I understand Racket is not Haskell (or > Rust) and naively trying to emulate typeclasses or traits in Racket will > likely lead to un-idiomatic code. Having said that, what Racket idioms > would be most useful for this kind of project? > > A typical typeclass (from the Haskell version) would be: > > ``` > class Monoid a => Group a where > > inverse :: a -> a > > power :: Int -> a -> a > ``` > > Thanks, > > Stu > > -- > You received this message because you are subscribed to the Google Groups > "Racket Users" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to racket-users+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/racket-users/a1ce47b2-9dab-4b33-b50b-557bfef7e331n%40googlegroups.com > <https://groups.google.com/d/msgid/racket-users/a1ce47b2-9dab-4b33-b50b-557bfef7e331n%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Racket Users" group. To unsubscribe from this group and stop receiving emails from it, send an email to racket-users+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/racket-users/CAL3TdOM_pt6EfuXvov8jWb_%3D9u%2BqaKh2UN7bhaaYFYruaQmfJg%40mail.gmail.com.
