(* copyright (c) 2013, simon cruanes all rights reserved. redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *) (** {1 Bidirectional Conversion} *) exception ConversionFailure of string let (@@@) a b = a b (* error-raising function *) let __error msg = let b = Buffer.create 15 in Printf.bprintf b "conversion error: "; Printf.kbprintf (fun b -> raise (ConversionFailure (Buffer.contents b))) b msg module Sink = struct (** A specific sink that requires a given shape to produce * a value of type 'a *) type 'a t = | Unit : 'a -> 'a t | Bool : (bool -> 'a) -> 'a t | Float : (float -> 'a) -> 'a t | Int : (int -> 'a) -> 'a t | String : (string -> 'a) -> 'a t | List : (('b t -> 'b list) -> 'a) -> 'a t | Record : 'a record_sink -> 'a t | Tuple : 'a tuple_sink -> 'a t | Sum : (string -> ('b t -> 'b) -> 'a) -> 'a t | Map : 'a t * ('a -> 'b) -> 'b t | Fix : ('a t -> 'a t) -> 'a t and 'r record_sink = | RecordField : string * 'a t * ('a -> 'r record_sink) -> 'r record_sink | RecordStop : 'r -> 'r record_sink and 't tuple_sink = | TupleField : 'a t * ('a -> 't tuple_sink) -> 't tuple_sink | TupleStop : 't -> 't tuple_sink and 's sum_sink = | SumSink : (string -> ('b t -> 'b) -> 's) -> 's sum_sink let rec __expected : type a. a t -> string = function | Unit _ -> "unit" | Bool _ -> "bool" | Float _ -> "float" | Int _ -> "int" | String _ -> "string" | List _ -> "list" | Record _ -> "record" | Tuple _ -> "tuple" | Sum _ -> "sum" | Map (sink', _) -> __expected sink' | (Fix f) as sink -> __expected (f sink) let __id x = x let unit_ = Unit () let bool_ = Bool __id let float_ = Float __id let int_ = Int __id let string_ = String __id let list_ e = List (fun k -> let l = k e in l) let map f sink = Map (sink, f) let array_ sink = map Array.of_list (list_ sink) let (-->) a b = a, b let (|:|) (name,sink) cont = RecordField (name,sink,cont) let yield_record r = RecordStop r let record r = Record r let record_fix f = Fix (fun r -> Record (f r)) let (|+|) sink cont = TupleField (sink, cont) let yield_tuple t = TupleStop t let tuple t = Tuple t let pair a b = tuple ( a |+| fun x -> b |+| fun y -> yield_tuple (x,y) ) let triple a b c = tuple ( a |+| fun x -> b |+| fun y -> c |+| fun z -> yield_tuple (x,y,z) ) let quad a b c d = tuple ( a |+| fun x -> b |+| fun y -> c |+| fun z -> d |+| fun w -> yield_tuple (x,y,z,w) ) let sum f = Sum f let sum_fix f = Fix (fun s -> Sum (f s)) let opt sink = sum (fun name cont -> match name with | "some" -> Some (cont sink) | "none" -> None | _ -> __error "unexpected variant %s" name) (** Universal sink, such as a serialization format *) class type ['a] universal = object method unit_ : 'a method bool_ : bool -> 'a method float_ : float -> 'a method int_ : int -> 'a method string_ : string -> 'a method list_ : 'a list -> 'a method record : (string*'a) list -> 'a method tuple : 'a list -> 'a method sum : string -> 'a list -> 'a end end module Source = struct (** A specific source that follows the shape of the type 'a *) type 'a t = | Unit : unit t | Bool : bool t | Float : float t | Int : int t | String : string t | List : 'a t -> 'a list t | Record : 'a record_src -> 'a t | Tuple : 'a tuple_src -> 'a t | Sum : ('a -> string * sum_src) -> 'a t | Map : 'a t * ('b -> 'a) -> 'b t | Fix : ('a t -> 'a t) -> 'a t and 'r record_src = | RecordField : string * ('r -> 'a) * 'a t * 'r record_src -> 'r record_src | RecordStop : 'r record_src and 't tuple_src = | TupleField : 'a t * ('t -> 'a) * 't tuple_src -> 't tuple_src | TupleStop : 't tuple_src and sum_src = | SumCons : 'a t * 'a * sum_src -> sum_src | SumNil : sum_src let unit_ = Unit let bool_ = Bool let float_ = Float let int_ = Int let string_ = String let list_ e = List e let map f src = Map (src, f) let array_ src = map Array.to_list (list_ src) let record_field name get src' cont = RecordField (name,get,src',cont) let record_stop = RecordStop let record r = Record r let record_fix f = Fix (fun r -> Record (f r)) let tuple_field src get cont = TupleField (src,get,cont) let tuple_stop = TupleStop let tuple t = Tuple t let pair a b = tuple (tuple_field a fst (tuple_field b snd tuple_stop)) let triple a b c = tuple (tuple_field a (fun (a,b,c) -> a) (tuple_field b (fun (a,b,c) -> b) (tuple_field c (fun (a,b,c) -> c) tuple_stop))) let quad a b c d = tuple (tuple_field a (fun (a,b,c,d) -> a) (tuple_field b (fun (a,b,c,d) -> b) (tuple_field c (fun (a,b,c,d) -> c) (tuple_field d (fun (a,b,c,d) -> d) tuple_stop)))) let sum_nil = SumNil let sum_cons src' x tl = SumCons (src', x, tl) let sum f = Sum f let sum_fix f = Fix (fun s -> Sum (f s)) let opt src = sum (function | Some x -> "some", sum_cons src x sum_nil | None -> "none", sum_nil) (* function to look up the given name in an association list *) let _get_field l name = try List.assoc name l with Not_found -> __error "record field %s not found in source" name class virtual ['a] universal = object(self) method private unit_ : 'b. 'b Sink.t -> 'b = fun sink -> match sink with | Sink.Unit u -> u | Sink.Int f -> f 0 | Sink.Map (sink', f) -> f (self#unit_ sink') | Sink.Fix f -> self#unit_ (f sink) | _ -> __error "get Unit, but expected %s" (Sink.__expected sink) method private bool_ : 'b. 'b Sink.t -> bool -> 'b = fun sink b -> match sink with | Sink.Bool f -> f b | Sink.Int f -> f (if b then 1 else 0) | Sink.String f -> f (string_of_bool b) | Sink.Map (sink', f) -> f (self#bool_ sink' b) | Sink.Fix f -> self#bool_ (f sink) b | _ -> __error "get Bool, but expected %s" (Sink.__expected sink) method private float_ : 'b. 'b Sink.t -> float -> 'b = fun sink x -> match sink with | Sink.Float f -> f x | Sink.String f -> f (string_of_float x) | Sink.Map (sink', f) -> f (self#float_ sink' x) | Sink.Fix f -> self#float_ (f sink) x | _ -> __error "get Float, but expected %s" (Sink.__expected sink) method private int_ : 'b. 'b Sink.t -> int -> 'b = fun sink i -> match sink with | Sink.Int f -> f i | Sink.String f -> f (string_of_int i) | Sink.Map (sink', f) -> f (self#int_ sink' i) | Sink.Fix f -> self#int_ (f sink) i | _ -> __error "get Int, but expected %s" (Sink.__expected sink) method private string_ : 'b. 'b Sink.t -> string -> 'b = fun sink s -> match sink with | Sink.String f -> f s | Sink.Int f -> begin try f (int_of_string s) with Invalid_argument _ -> __error "get String, but expected Int" end | Sink.Map (sink', f) -> f (self#string_ sink' s) | Sink.Fix f -> self#string_ (f sink) s | _ -> __error "get String, but expected %s" (Sink.__expected sink) method private list_ : 'b. 'b Sink.t -> 'a list -> 'b = fun sink l -> match sink with | Sink.List f -> f (fun sink' -> List.map (self#visit sink') l) | Sink.Map (sink', f) -> f (self#list_ sink' l) | Sink.Fix f -> self#list_ (f sink) l | _ -> __error "get List, but expected %s" (Sink.__expected sink) method private record : 'b. 'b Sink.t -> (string*'a) list -> 'b = fun sink l -> match sink with | Sink.Record r -> (* fold over the expected record fields *) let rec build_record : 'r. 'r Sink.record_sink -> 'r = function | Sink.RecordStop x -> x | Sink.RecordField (name, sink', cont) -> let src_field = _get_field l name in let sink_field = self#visit sink' src_field in build_record (cont sink_field) in build_record r | Sink.Map (sink', f) -> f (self#record sink' l) | Sink.Fix f -> self#record (f sink) l | _ -> __error "get Record, but expected %s" (Sink.__expected sink) method private tuple : 'b. 'b Sink.t -> 'a list -> 'b = fun sink l -> match sink with | Sink.Tuple t_sink -> (* fold over the expected tuple component *) let rec build_tuple : 't. 'a list -> 't Sink.tuple_sink -> 't = fun l t_sink -> match l, t_sink with | [], Sink.TupleStop t -> t | [], _ -> __error "not enough tuple components" | _::_, Sink.TupleStop _ -> __error "too many tuple components (%d too many)" (List.length l) | x::l', Sink.TupleField (sink', cont) -> let y = self#visit sink' x in build_tuple l' (cont y) in build_tuple l t_sink | Sink.Map (sink', f) -> f (self#tuple sink' l) | Sink.Fix f -> self#tuple (f sink) l | _ -> __error "get Tuple, but expected %s" (Sink.__expected sink) method private sum : 'b. 'b Sink.t -> string -> 'a -> 'b = fun sink name s -> match sink with | Sink.Sum f -> f name (fun sink' -> self#visit sink' s) | Sink.Map (sink', f) -> f (self#sum sink' name s) | Sink.Fix f -> self#sum (f sink) name s | _ -> __error "get Sum(%s), but expected %s" name (Sink.__expected sink) method virtual visit : 'b. 'b Sink.t -> 'a -> 'b end end let rec into : type a b. a Source.t -> b Sink.universal -> a -> b = fun src sink x -> match src with | Source.Unit -> sink#unit_ | Source.Bool -> sink#bool_ x | Source.Float -> sink#float_ x | Source.Int -> sink#int_ x | Source.String -> sink#string_ x | Source.List src' -> let l = List.map (into src' sink) x in sink#list_ l | Source.Record r -> let rec conv_fields : (string*b)list -> a Source.record_src -> b = fun acc r -> match r with | Source.RecordStop -> sink#record acc | Source.RecordField (name,get,src',r') -> let acc = (name, into src' sink (get x)) :: acc in conv_fields acc r' in conv_fields [] r | Source.Tuple t -> let rec conv_tuple : b list -> a Source.tuple_src -> b = fun acc t -> match t with | Source.TupleStop -> sink#tuple (List.rev acc) | Source.TupleField (src',get,t') -> let acc = into src' sink (get x) :: acc in conv_tuple acc t' in conv_tuple [] t | Source.Sum f -> let rec conv_sum : string -> b list -> Source.sum_src -> b = fun name acc sum -> match sum with | Source.SumNil -> sink#sum name (List.rev acc) | Source.SumCons (src',x,sum') -> let acc = into src' sink x :: acc in conv_sum name acc sum' in let name, sum = f x in conv_sum name [] sum | Source.Map (src', f) -> into src' sink (f x) | Source.Fix f -> let src' = f src in into src' sink x let from (src:'a Source.universal) (sink:'b Sink.t) (x:'a) : 'b = src#visit sink x (** {6 Exemples} *) module Json = struct type t = [ | `Int of int | `Float of float | `Bool of bool | `Null | `String of string | `List of t list | `Assoc of (string * t) list ] let source = object(self) inherit [t] Source.universal method visit sink (x:t) = match x with | `Int i -> self#int_ sink i | `Float f -> self#float_ sink f | `Bool b -> self#bool_ sink b | `Null -> self#unit_ sink | `String s -> self#string_ sink s | `List l -> self#list_ sink l | `Assoc l -> self#record sink l end let sink : t Sink.universal = object method unit_ = `Null method bool_ b = `Bool b method float_ f = `Float f method int_ i = `Int i method string_ s = `String s method list_ l = `List l method record l = `Assoc l method tuple l = `List l method sum name l = match l with | [] -> `String name | _::_ -> `List (`String name :: l) end end (* test for records *) type point = { x:int; y:int; color:string; prev : point option; (* previous position, say *) } let rec point_sink = Sink.(record_fix (fun self -> "x" --> int_ |:| fun x -> "y" --> int_ |:| fun y -> "color" --> string_ |:| fun color -> "prev" --> (opt self) |:| fun prev -> yield_record {x;y;color;prev} )) let point_source : point Source.t = Source.(record_fix (fun self -> record_field "x" (fun p -> p.x) int_ @@@ record_field "y" (fun p -> p.y) int_ @@@ record_field "color" (fun p -> p.color) string_ @@@ record_field "prev" (fun p -> p.prev) (opt self) @@@ record_stop )) let p = {x=1; y=42; color="yellow"; prev = Some {x=1; y=41; color="red"; prev=None};} let p2 = into point_source Json.sink p (* TODO tests *)