Created
September 23, 2009 22:39
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another take on F# monads
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module Monad = | |
type M<'T,'B when 'B :> Sig<'B>> = | |
interface end | |
and Sig<'B when 'B :> Sig<'B>> = | |
abstract member Return<'X> : 'X -> M<'X,'B> | |
abstract member Bind<'X,'Y> : | |
M<'X,'B> -> ('X -> M<'Y,'B>) -> M<'Y,'B> | |
type Make<'B when 'B :> Sig<'B> | |
and 'B : (new : unit -> 'B)> () = | |
static let m = new 'B () :> Sig<'B> | |
member this.Bind (x, f) = | |
m.Bind x f | |
member this.Return x = | |
m.Return x | |
member this.Sequence list = | |
match list with | |
| [] -> | |
m.Return [] | |
| x :: xs -> | |
m.Bind x <| fun x -> | |
let f xs = m.Return (x :: xs) | |
let xs = this.Sequence xs | |
m.Bind xs f | |
module Maybe = | |
type T<'T> = | |
| Just of 'T | |
| Nothing | |
interface Monad.M<'T, Monad> | |
and Monad () = | |
interface Monad.Sig<Monad> with | |
member this.Return x = | |
Just x :> _ | |
member this.Bind x f = | |
match x :?> _ with | |
| Just x -> f x | |
| Nothing -> Nothing :> _ | |
let Do = new Monad.Make<Monad>() | |
module List = | |
type T<'T> = { T : list<'T> } with | |
interface Monad.M<'T, Monad> | |
and Monad () = | |
interface Monad.Sig<Monad> with | |
member this.Return x = | |
Conv.OfList [x] :> _ | |
member this.Bind x f = | |
Conv.ToList (x :?> _) | |
|> List.collect (fun x -> Conv.ToList (f x :?> _)) | |
|> Conv.OfList | |
:> _ | |
and Conv = | |
static member ToList<'T> (x : T<'T>) : list<'T> = x.T | |
static member OfList<'T> (x : list<'T>) : T<'T> = { T = x } | |
let Do = new Monad.Make<Monad>() | |
Maybe.Do { | |
let! x = Maybe.Just 1 | |
return! Maybe.Do.Sequence [Maybe.Just x; Maybe.Just (x + 1)] | |
} | |
|> printfn "%A" | |
List.Do { | |
let list x = List.Conv.OfList x | |
let! x = list [1; 2; 3] | |
return! List.Do.Sequence [list [1; 2]; list [3; 4]] | |
} | |
|> printfn "%A" |
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