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Free-monad interpreter
Re-hash of the Free-monad interpreter by erdeszt
https://gist.github.com/erdeszt/f8b351b5e6ec4fd903ef
based on http://programmers.stackexchange.com/a/242803/145941
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|
// Free monad-interpreter in F# (based on: http://programmers.stackexchange.com/a/242803/145941)
type DSL<'next> =
| Get of key: string * (string -> 'next)
| Set of key: string * value: string * 'next
| End
let mapDSL: ('a -> 'b) -> DSL<'a> -> DSL<'b> =
fun f dsl ->
match dsl with
| Get (k, c) -> Get (k, c >> f)
| Set (k, v, c) -> Set (k, v, f c )
| End -> End
type FreeDSL<'a> =
| Free of DSL<FreeDSL<'a>>
| Return of 'a
let rec bindFree(f:'a -> FreeDSL<'b>) : (FreeDSL<'a>) -> FreeDSL<'b> =
function
| Return a -> f a
| Free dsl -> Free (mapDSL (bindFree f) dsl)
let ex1 = Set ("alma", "bela", (Get ("alma", id)))
let exF1 = Free (Set ("alma", "bela", (Free (Get ("alma", (fun s -> Return s))))))
type FreeDSLBuilder () =
member this.Return x = Return x
member this.ReturnFrom x = x
member this.Bind (ma, f) = bindFree f ma
let domain = FreeDSLBuilder ()
let liftFree (action : DSL<'a>) = Free (mapDSL Return action)
let get key = liftFree (Get (key, id))
let set key value = liftFree (Set (key, value, ()))
let end'<'a> = liftFree End
let exF2 = domain.Bind(set "foo" "bar", (fun _ -> get "foo"))
let exF3 = domain {
let! value = get "foo"
do! set "bar" value
let! value2 = get "bar"
return value = value2
}
let rec interpreter: FreeDSL<'a> -> unit =
fun free ->
match free with
| Free(Get(key, nextF)) -> printfn "Get %s" key
nextF (sprintf "'get.%s'" key) |> interpreter
| Free(Set(key, value, next )) -> printfn "Set %s = %s" key value
next |> interpreter
| Free(End ) -> printfn "End" ; ()
| Return v -> printfn "return(%A)" v
interpreter exF1
interpreter exF2
interpreter exF3
|
union case DSL.Get: key: string * (string -> 'next) -> DSL<'next>
Multiple items
val string : value:'T -> string
Full name: Microsoft.FSharp.Core.Operators.string
--------------------
type string = System.String
Full name: Microsoft.FSharp.Core.string
Multiple items
union case DSL.Set: key: string * value: string * 'next -> DSL<'next>
--------------------
module Set
from Microsoft.FSharp.Collections
--------------------
type Set<'T (requires comparison)> =
interface IComparable
interface IEnumerable
interface IEnumerable<'T>
interface ICollection<'T>
new : elements:seq<'T> -> Set<'T>
member Add : value:'T -> Set<'T>
member Contains : value:'T -> bool
override Equals : obj -> bool
member IsProperSubsetOf : otherSet:Set<'T> -> bool
member IsProperSupersetOf : otherSet:Set<'T> -> bool
...
Full name: Microsoft.FSharp.Collections.Set<_>
--------------------
new : elements:seq<'T> -> Set<'T>
union case DSL.End: DSL<'next>
val mapDSL : f:('a -> 'b) -> dsl:DSL<'a> -> DSL<'b>
Full name: Script.mapDSL
type DSL<'next> =
| Get of key: string * (string -> 'next)
| Set of key: string * value: string * 'next
| End
Full name: Script.DSL<_>
val f : ('a -> 'b)
val dsl : DSL<'a>
val k : string
val c : (string -> 'a)
val v : string
val c : 'a
type FreeDSL<'a> =
| Free of DSL<FreeDSL<'a>>
| Return of 'a
Full name: Script.FreeDSL<_>
union case FreeDSL.Free: DSL<FreeDSL<'a>> -> FreeDSL<'a>
union case FreeDSL.Return: 'a -> FreeDSL<'a>
val bindFree : f:('a -> FreeDSL<'b>) -> _arg1:FreeDSL<'a> -> FreeDSL<'b>
Full name: Script.bindFree
val f : ('a -> FreeDSL<'b>)
val a : 'a
val dsl : DSL<FreeDSL<'a>>
val ex1 : DSL<DSL<string>>
Full name: Script.ex1
val id : x:'T -> 'T
Full name: Microsoft.FSharp.Core.Operators.id
val exF1 : FreeDSL<string>
Full name: Script.exF1
val s : string
Multiple items
type FreeDSLBuilder =
new : unit -> FreeDSLBuilder
member Bind : ma:FreeDSL<'a> * f:('a -> FreeDSL<'b>) -> FreeDSL<'b>
member Return : x:'d -> FreeDSL<'d>
member ReturnFrom : x:'c -> 'c
Full name: Script.FreeDSLBuilder
--------------------
new : unit -> FreeDSLBuilder
val this : FreeDSLBuilder
member FreeDSLBuilder.Return : x:'d -> FreeDSL<'d>
Full name: Script.FreeDSLBuilder.Return
val x : 'd
member FreeDSLBuilder.ReturnFrom : x:'c -> 'c
Full name: Script.FreeDSLBuilder.ReturnFrom
val x : 'c
member FreeDSLBuilder.Bind : ma:FreeDSL<'a> * f:('a -> FreeDSL<'b>) -> FreeDSL<'b>
Full name: Script.FreeDSLBuilder.Bind
val ma : FreeDSL<'a>
val domain : FreeDSLBuilder
Full name: Script.domain
val liftFree : action:DSL<'a> -> FreeDSL<'a>
Full name: Script.liftFree
val action : DSL<'a>
val get : key:string -> FreeDSL<string>
Full name: Script.get
val key : string
val set : key:string -> value:string -> FreeDSL<unit>
Full name: Script.set
val value : string
val end'<'a> : FreeDSL<obj>
Full name: Script.end'
val exF2 : FreeDSL<string>
Full name: Script.exF2
member FreeDSLBuilder.Bind : ma:FreeDSL<'a> * f:('a -> FreeDSL<'b>) -> FreeDSL<'b>
val exF3 : FreeDSL<bool>
Full name: Script.exF3
val value2 : string
val interpreter : free:FreeDSL<'a> -> unit
Full name: Script.interpreter
type unit = Unit
Full name: Microsoft.FSharp.Core.unit
val free : FreeDSL<'a>
val nextF : (string -> FreeDSL<'a>)
val printfn : format:Printf.TextWriterFormat<'T> -> 'T
Full name: Microsoft.FSharp.Core.ExtraTopLevelOperators.printfn
val sprintf : format:Printf.StringFormat<'T> -> 'T
Full name: Microsoft.FSharp.Core.ExtraTopLevelOperators.sprintf
val next : FreeDSL<'a>
val v : 'a
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