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[Caml-list] Recursive modules and polymorphic recursion
- brogoff@s...
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| Date: | -- (:) |
| From: | brogoff@s... |
| Subject: | [Caml-list] Recursive modules and polymorphic recursion |
Hi,
I was playing with the recursive modules in the CVS snapshot and much to
my chagrin the very first pr function of the very first pr example in Okasaki
causes the system to barf, where barf means "Cannot safely evaluate the
definition of the recursively-defined module RAListImpl". Is this a temporary
limitation of the CVS version or a permanent limitation of the feature?
I've appended the code to this email.
You can write these pr examples from Okasaki using the nested polymorphism
on record fields (or polymorphic methods if you like objects) so I guess it's
time again to raise the question of when we will get a direct way to write these
functions, say with explicit type annotations on the functions. The recursive
module approach would be acceptable, but even if it worked here it has the
(minor) disadvantage of requiring you to create a module where you have to
expose functions you'd prefer to have hidden, which you can then export with
your final signature.
-- Brian
module rec RAListImpl :
sig
type 'a ra_list
val empty : 'a ra_list
val is_empty : 'a ra_list -> bool
val length : 'a ra_list -> int
(*
val cons : 'a -> 'a ra_list -> 'a ra_list
val uncons : 'a ra_list -> 'a * 'a ra_list
val head : 'a ra_list -> 'a
val tail : 'a ra_list -> 'a ra_list
val lookup : int -> 'a ra_list -> 'a
val fupdate : ('a -> 'a) -> int -> 'a -> 'a ra_list -> 'a ra_list
val update : int -> 'a -> 'a ra_list -> 'a ra_list
*)
end =
struct
type 'a ra_list = Nil
| Zero of ('a * 'a) ra_list
| One of 'a * ('a * 'a) ra_list
let empty = Nil
let is_empty = function Nil -> true | _ -> false
let length = function
Nil -> 0
| Zero ra -> 2 * (RAListImpl.length ra)
| One (_,ra) -> 1 + 2 * (RAListImpl.length ra)
(*
let cons x = function
Nil -> One (x, Nil)
| Zero ps -> One (x, ps)
| One (y,b) -> Zero (RAListImpl.cons (x, y) b)
let uncons = function
Nil -> raise Not_found
| One (x,Nil) -> (x,Nil)
| One (x,ps) -> (x, Zero ps)
| Zero ps ->
let ((x,y),ps') = RAListImpl.uncons ps in
(x, One (y, ps'))
let lookup i l =
match i,l with
(i, Nil) -> raise Not_found
| (0, One (x, ps)) -> x
| (i, One (x, ps)) -> RAListImpl.lookup (pred i) (Zero ps)
| (i, Zero ps) ->
let (x, y) = RAListImpl.lookup (i / 2) ps
in if i mod 2 = 0 then x else y
let head xs = let (x, _) = RAListImpl.uncons xs in x
let tail xs = let (_, xs') = RAListImpl.uncons xs in xs'
let fupdate f i l =
match i,l with
(i, Nil) -> raise Not_found
| (0, One (x, ps)) -> One (f x, ps)
| (i, One (x, ps)) ->
cons x (RAListImpl.fupdate f (i-1) (Zero ps))
| (i, Zero ps) ->
let f' (x, y) = if i mod 2 = 0 then (f x, y) else (x, f y) in
Zero (RAListImpl.fupdate f' (i / 2) ps)
let update i y xs = RAListImpl.fupdate (fun x -> y) i xs
*)
end
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