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by knucklesandwich 3857 days ago
Generics solve an occurrence of too much entanglement. That is, it solves entanglement of an abstract "shape" of computation with a specific set of type definitions. Generics actually allow you to not think about an additional dimension of your program (i.e. the exact types a computation or data type can be used with).

Haskell programmers famously point this out with the observation that a generic fmap is safer than one that has knowledge of the concrete types it uses. The type signature of fmap is this:

fmap :: Functor f => (a -> b) -> f a -> f b

In practice, what this means is that you can be assured that your fmap implementation can only apply the passed function over the value(s) wrapped in the functor, because of the fact that it cannot have visibility into what types it will operate on.

In golang, because of a lack of generics, you can write a well-typed fmap function, but it will inherently be coupled with the type of the slice it maps over. It also means the author of such a function has knowledge of all the properties involved in the argument and return type of the function passed, which means the writer of an fmap can do all kinds of things with that data that you have no assurances over.

1 comments

Exactly. Parametricity is the killer feature of statically typed functional languages. This why it saddens me when Haskell and OCaml add features that weaken parametricity, like GADTs and type families.
How do GADTs or type families weaken parametricity?
Without either GADTs or type families, two types `Foo` and `Bar` with mappings `fw :: Foo -> Bar` and `bw :: Bar -> Foo` that compose in both directions to the identity, are “effectively indistinguishable” from one another in a precise sense. If you have a definition `qux :: T Foo`, for any type function `T` not containing abstract type constructors, you can construct `justAsQuxxy :: T Bar` by applying `fw` and `bw` in the right places.

With either GADTs or type families, this nice property is lost.

However, GADTs and TFs are completely opt-in, so it seems a bit of a stretch to construe this as a generally bad thing. IME it's not as if library authors are arbitrarily (i.e. for no good reason) using GADTs or TFs instead of plain old type parameters in their APIs.
Reflection, downcasts and assigning `null` to pointers are completely opt-in in Java too.

With respect to type families, I'm probably being a little bit unfair. Personally, I don't have much against associated type families. (Although I think Rust handles them much more gracefully than GHC.) But very important libraries in the GHC ecosystem like vector and lens make extensive use of free-floating type families, which I find... ugh... I don't want to get angry.

> Reflection, downcasts and assigning `null` to pointers are completely opt-in in Java too.

No, they're not -- not in the same sense, at least. A GADT/TypeFamily is going to be visible in the API. None of the things you mentioned are visible in the API.

There's a HUGE difference.

This nice property is not part of 'parametricity' as I know it, though.
Are you saying something like "All type constructors are functorial Hask^n x Hask^op^m -> Hask"?
It's something weaker. Consider the groupoid of Haskell types and isomorphisms. Without GADTs and type families, all type constructors of kind `* -> *` are endofunctors on this groupoid.

Note 1: And there are higher-kinded analogues, but I hope you get the idea from this.

Note 2: There are also exceptions, like `IORef` and friends.

Can you elaborate on your last sentence?
Sorry, for some reason the “reply” link didn't appear below your post until after I had written my reply to Peaker. My reply to you is exactly the same:

https://news.ycombinator.com/item?id=10668568