https://gitlab.com/nomadic-labs/data-encoding/
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Tip revision: 247bdab2aded7f5ce4ae9ec47fab1008bd4beedf authored by Raphaƫl Proust on 27 May 2020, 15:31:59 UTC
Update ocamlformat and .ocamlformat
Tip revision: 247bdab
encoding.ml
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
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(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

module Kind = struct
  type t = [ `Fixed of int | `Dynamic | `Variable ]

  type length = [ `Fixed of int | `Variable ]

  type enum = [ `Dynamic | `Variable ]

  let combine name : t -> t -> t =
   fun k1 k2 ->
    match (k1, k2) with
    | (`Fixed n1, `Fixed n2) -> `Fixed (n1 + n2)
    | (`Dynamic, `Dynamic) | (`Fixed _, `Dynamic) | (`Dynamic, `Fixed _) ->
        `Dynamic
    | (`Variable, `Fixed _) | ((`Dynamic | `Fixed _), `Variable) -> `Variable
    | (`Variable, `Dynamic) ->
        Printf.ksprintf
          invalid_arg
          "Cannot merge two %s when the left element is of variable length and \
           the right one of dynamic length. You should use the reverse order, \
           or wrap the second one with Data_encoding.dynamic_size."
          name
    | (`Variable, `Variable) ->
        Printf.ksprintf
          invalid_arg
          "Cannot merge two %s with variable length. You should wrap one of \
           them with Data_encoding.dynamic_size."
          name

  let merge : t -> t -> t =
   fun k1 k2 ->
    match (k1, k2) with
    | (`Fixed n1, `Fixed n2) when n1 = n2 -> `Fixed n1
    | (`Fixed _, `Fixed _) -> `Dynamic
    | (`Dynamic, `Dynamic) | (`Fixed _, `Dynamic) | (`Dynamic, `Fixed _) ->
        `Dynamic
    | (`Variable, (`Dynamic | `Fixed _))
    | ((`Dynamic | `Fixed _), `Variable)
    | (`Variable, `Variable) ->
        `Variable

  let merge_list sz : t list -> t = function
    | [] -> assert false (* should be rejected by Data_encoding.union *)
    | k :: ks -> (
        match List.fold_left merge k ks with
        | `Fixed n -> `Fixed (n + Binary_size.tag_size sz)
        | k -> k )
end

type case_tag = Tag of int | Json_only

type 'a desc =
  | Null : unit desc
  | Empty : unit desc
  | Ignore : unit desc
  | Constant : string -> unit desc
  | Bool : bool desc
  | Int8 : int desc
  | Uint8 : int desc
  | Int16 : int desc
  | Uint16 : int desc
  | Int31 : int desc
  | Int32 : Int32.t desc
  | Int64 : Int64.t desc
  | N : Z.t desc
  | Z : Z.t desc
  | RangedInt : {minimum: int; maximum: int} -> int desc
  | RangedFloat : {minimum: float; maximum: float} -> float desc
  | Float : float desc
  | Bytes : Kind.length -> Bytes.t desc
  | String : Kind.length -> string desc
  | Padded : 'a t * int -> 'a desc
  | String_enum : ('a, string * int) Hashtbl.t * 'a array -> 'a desc
  | Array : int option * 'a t -> 'a array desc
  | List : int option * 'a t -> 'a list desc
  | Obj : 'a field -> 'a desc
  | Objs : {kind: Kind.t; left: 'a t; right: 'b t} -> ('a * 'b) desc
  | Tup : 'a t -> 'a desc
  | Tups : {kind: Kind.t; left: 'a t; right: 'b t} -> ('a * 'b) desc
  | Union : {
      kind: Kind.t;
      tag_size: Binary_size.tag_size;
      cases: 'a case list;
    }
      -> 'a desc
  | Mu : {
      kind: Kind.enum;
      name: string;
      title: string option;
      description: string option;
      fix: 'a t -> 'a t;
    }
      -> 'a desc
  | Conv : {
      proj: 'a -> 'b;
      inj: 'b -> 'a;
      encoding: 'b t;
      schema: Json_schema.schema option;
    }
      -> 'a desc
  | Describe : {
      id: string;
      title: string option;
      description: string option;
      encoding: 'a t;
    }
      -> 'a desc
  | Splitted : {
      encoding: 'a t;
      json_encoding: 'a Json_encoding.encoding;
      is_obj: bool;
      is_tup: bool;
    }
      -> 'a desc
  | Dynamic_size : {
      kind: Binary_size.unsigned_integer;
      encoding: 'a t;
    }
      -> 'a desc
  | Check_size : {limit: int; encoding: 'a t} -> 'a desc
  | Delayed : (unit -> 'a t) -> 'a desc

and _ field =
  | Req : {
      name: string;
      encoding: 'a t;
      title: string option;
      description: string option;
    }
      -> 'a field
  | Opt : {
      name: string;
      kind: Kind.enum;
      encoding: 'a t;
      title: string option;
      description: string option;
    }
      -> 'a option field
  | Dft : {
      name: string;
      encoding: 'a t;
      default: 'a;
      title: string option;
      description: string option;
    }
      -> 'a field

and 'a case =
  | Case : {
      title: string;
      description: string option;
      encoding: 'a t;
      proj: 't -> 'a option;
      inj: 'a -> 't;
      tag: case_tag;
    }
      -> 't case

and 'a t = {
  encoding: 'a desc;
  mutable json_encoding: 'a Json_encoding.encoding option;
}

type 'a encoding = 'a t

let rec classify : type a. a t -> Kind.t = fun e -> classify_desc e.encoding

and classify_desc : type a. a desc -> Kind.t =
 fun e ->
  match e with
  (* Fixed *)
  | Null -> `Fixed 0
  | Empty -> `Fixed 0
  | Constant _ -> `Fixed 0
  | Bool -> `Fixed Binary_size.bool
  | Int8 -> `Fixed Binary_size.int8
  | Uint8 -> `Fixed Binary_size.uint8
  | Int16 -> `Fixed Binary_size.int16
  | Uint16 -> `Fixed Binary_size.uint16
  | Int31 -> `Fixed Binary_size.int31
  | Int32 -> `Fixed Binary_size.int32
  | Int64 -> `Fixed Binary_size.int64
  | N -> `Dynamic
  | Z -> `Dynamic
  | RangedInt {minimum; maximum} ->
      `Fixed Binary_size.(integer_to_size @@ range_to_size ~minimum ~maximum)
  | Float -> `Fixed Binary_size.float
  | RangedFloat _ -> `Fixed Binary_size.float
  (* Tagged *)
  | Bytes kind -> (kind :> Kind.t)
  | String kind -> (kind :> Kind.t)
  | Padded ({encoding; _}, n) -> (
      match classify_desc encoding with
      | `Fixed m -> `Fixed (n + m)
      | _ -> assert false (* by construction (see [Fixed.padded]) *) )
  | String_enum (_, cases) ->
      `Fixed Binary_size.(integer_to_size @@ enum_size cases)
  | Obj (Opt {kind; _}) -> (kind :> Kind.t)
  | Objs {kind; _} -> kind
  | Tups {kind; _} -> kind
  | Union {kind; _} -> (kind :> Kind.t)
  | Mu {kind; _} -> (kind :> Kind.t)
  (* Variable *)
  | Ignore -> `Fixed 0
  | Array _ -> `Variable
  | List _ -> `Variable
  (* Recursive *)
  | Obj (Req {encoding; _}) -> classify encoding
  | Obj (Dft {encoding; _}) -> classify encoding
  | Tup encoding -> classify encoding
  | Conv {encoding; _} -> classify encoding
  | Describe {encoding; _} -> classify encoding
  | Splitted {encoding; _} -> classify encoding
  | Dynamic_size _ -> `Dynamic
  | Check_size {encoding; _} -> classify encoding
  | Delayed f -> classify (f ())

let make ?json_encoding encoding = {encoding; json_encoding}

module Fixed = struct
  let string n =
    if n <= 0 then
      invalid_arg
        "Cannot create a string encoding of negative or null fixed length.";
    make @@ String (`Fixed n)

  let bytes n =
    if n <= 0 then
      invalid_arg
        "Cannot create a byte encoding of negative or null fixed length.";
    make @@ Bytes (`Fixed n)

  let add_padding e n =
    if n <= 0 then
      invalid_arg "Cannot create a padding of negative or null fixed length.";
    match classify e with
    | `Fixed _ -> make @@ Padded (e, n)
    | _ -> invalid_arg "Cannot pad non-fixed size encoding"
end

let rec is_zeroable : type t. t encoding -> bool =
 fun e ->
  (* Whether an encoding can ever produce zero-byte of encoding. It is dangerous
     to place zero-size elements in a collection (list/array) because
     they are indistinguishable from the absence of elements. *)
  match e.encoding with
  (* trivially true *)
  | Null -> true (* always true *)
  | Empty -> true (* always true *)
  | Ignore -> true (* always true *)
  | Constant _ -> true (* always true *)
  (* trivially false *)
  | Bool -> false
  | Int8 -> false
  | Uint8 -> false
  | Int16 -> false
  | Uint16 -> false
  | Int31 -> false
  | Int32 -> false
  | Int64 -> false
  | N -> false
  | Z -> false
  | RangedInt _ -> false
  | RangedFloat _ -> false
  | Float -> false
  | Bytes _ -> false
  | String _ -> false
  | Padded _ -> false
  | String_enum _ -> false
  (* true in some cases, but in practice always protected by Dynamic *)
  | Array _ -> true (* 0-element array *)
  | List _ -> true (* 0-element list *)
  (* represented as whatever is inside: truth mostly propagates *)
  | Obj (Req {encoding = e; _}) -> is_zeroable e (* represented as-is *)
  | Obj (Opt {kind = `Variable; _}) -> true (* optional field omitted *)
  | Obj (Dft {encoding = e; _}) -> is_zeroable e (* represented as-is *)
  | Obj _ -> false
  | Objs {left; right; _} -> is_zeroable left && is_zeroable right
  | Tup e -> is_zeroable e
  | Tups {left; right; _} -> is_zeroable left && is_zeroable right
  | Union _ -> false (* includes a tag *)
  (* other recursive cases: truth propagates *)
  | Mu {kind = `Dynamic; _} -> false (* size prefix *)
  | Mu {kind = `Variable; fix; _} -> is_zeroable (fix e)
  | Conv {encoding; _} -> is_zeroable encoding
  | Describe {encoding; _} -> is_zeroable encoding
  | Splitted {encoding; _} -> is_zeroable encoding
  | Check_size {encoding; _} -> is_zeroable encoding
  (* Unscrutable: true by default *)
  | Delayed f -> is_zeroable (f ())
  (* Protected against zeroable *)
  | Dynamic_size _ -> false

(* always some data for size *)

module Variable = struct
  let string = make @@ String `Variable

  let bytes = make @@ Bytes `Variable

  let check_not_variable name e =
    match classify e with
    | `Variable ->
        Printf.ksprintf
          invalid_arg
          "Cannot insert variable length element in %s. You should wrap the \
           contents using Data_encoding.dynamic_size."
          name
    | `Dynamic | `Fixed _ -> ()

  let check_not_zeroable name e =
    if is_zeroable e then
      Printf.ksprintf
        invalid_arg
        "Cannot insert potentially zero-sized element in %s."
        name
    else ()

  let array ?max_length e =
    check_not_variable "an array" e;
    check_not_zeroable "an array" e;
    let encoding = make @@ Array (max_length, e) in
    match (classify e, max_length) with
    | (`Fixed n, Some max_length) ->
        let limit = n * max_length in
        make @@ Check_size {limit; encoding}
    | (_, _) -> encoding

  let list ?max_length e =
    check_not_variable "a list" e;
    check_not_zeroable "a list" e;
    let encoding = make @@ List (max_length, e) in
    match (classify e, max_length) with
    | (`Fixed n, Some max_length) ->
        let limit = n * max_length in
        make @@ Check_size {limit; encoding}
    | (_, _) -> encoding
end

let dynamic_size ?(kind = `Uint30) e = make @@ Dynamic_size {kind; encoding = e}

let check_size limit encoding = make @@ Check_size {limit; encoding}

let delayed f = make @@ Delayed f

let null = make @@ Null

let empty = make @@ Empty

let unit = make @@ Ignore

let constant s = make @@ Constant s

let bool = make @@ Bool

let int8 = make @@ Int8

let uint8 = make @@ Uint8

let int16 = make @@ Int16

let uint16 = make @@ Uint16

let int31 = make @@ Int31

let int32 = make @@ Int32

let ranged_int minimum maximum =
  let minimum = min minimum maximum and maximum = max minimum maximum in
  if minimum < -(1 lsl 30) || (1 lsl 30) - 1 < maximum then
    invalid_arg "Data_encoding.ranged_int";
  make @@ RangedInt {minimum; maximum}

let ranged_float minimum maximum =
  let minimum = min minimum maximum and maximum = max minimum maximum in
  make @@ RangedFloat {minimum; maximum}

let int64 = make @@ Int64

let n = make @@ N

let z = make @@ Z

let float = make @@ Float

let string = dynamic_size Variable.string

let bytes = dynamic_size Variable.bytes

let array ?max_length e = dynamic_size (Variable.array ?max_length e)

let list ?max_length e = dynamic_size (Variable.list ?max_length e)

let string_enum = function
  | [] -> invalid_arg "data_encoding.string_enum: cannot have zero cases"
  | [_case] ->
      invalid_arg
        "data_encoding.string_enum: cannot have a single case, use constant \
         instead"
  | _ :: _ as cases ->
      let arr = Array.of_list (List.map snd cases) in
      let tbl = Hashtbl.create (Array.length arr) in
      List.iteri (fun ind (str, a) -> Hashtbl.add tbl a (str, ind)) cases;
      make @@ String_enum (tbl, arr)

let conv proj inj ?schema encoding = make @@ Conv {proj; inj; encoding; schema}

let def id ?title ?description encoding =
  make @@ Describe {id; title; description; encoding}

let req ?title ?description n t =
  Req {name = n; encoding = t; title; description}

let opt ?title ?description n encoding =
  let kind =
    match classify encoding with
    | `Variable -> `Variable
    | `Fixed _ | `Dynamic -> `Dynamic
  in
  Opt {name = n; kind; encoding; title; description}

let varopt ?title ?description n encoding =
  Opt {name = n; kind = `Variable; encoding; title; description}

let dft ?title ?description n t d =
  Dft {name = n; encoding = t; default = d; title; description}

let raw_splitted ~json ~binary =
  make
  @@ Splitted
       {encoding = binary; json_encoding = json; is_obj = false; is_tup = false}

let rec is_obj : type a. a t -> bool =
 fun e ->
  match e.encoding with
  | Obj _ -> true
  | Objs _ (* by construction *) -> true
  | Conv {encoding = e; _} -> is_obj e
  | Dynamic_size {encoding = e; _} -> is_obj e
  | Union {cases; _} ->
      List.for_all (fun (Case {encoding = e; _}) -> is_obj e) cases
  | Empty -> true
  | Ignore -> true
  | Mu {fix; _} -> is_obj (fix e)
  | Splitted {is_obj; _} -> is_obj
  | Delayed f -> is_obj (f ())
  | Describe {encoding; _} -> is_obj encoding
  | _ -> false

let rec is_tup : type a. a t -> bool =
 fun e ->
  match e.encoding with
  | Tup _ -> true
  | Tups _ (* by construction *) -> true
  | Conv {encoding = e; _} -> is_tup e
  | Dynamic_size {encoding = e; _} -> is_tup e
  | Union {cases; _} ->
      List.for_all (function Case {encoding = e; _} -> is_tup e) cases
  | Mu {fix; _} -> is_tup (fix e)
  | Splitted {is_tup; _} -> is_tup
  | Delayed f -> is_tup (f ())
  | Describe {encoding; _} -> is_tup encoding
  | _ -> false

let raw_merge_objs left right =
  let kind = Kind.combine "objects" (classify left) (classify right) in
  make @@ Objs {kind; left; right}

let obj1 f1 = make @@ Obj f1

let obj2 f2 f1 = raw_merge_objs (obj1 f2) (obj1 f1)

let obj3 f3 f2 f1 = raw_merge_objs (obj1 f3) (obj2 f2 f1)

let obj4 f4 f3 f2 f1 = raw_merge_objs (obj2 f4 f3) (obj2 f2 f1)

let obj5 f5 f4 f3 f2 f1 = raw_merge_objs (obj1 f5) (obj4 f4 f3 f2 f1)

let obj6 f6 f5 f4 f3 f2 f1 = raw_merge_objs (obj2 f6 f5) (obj4 f4 f3 f2 f1)

let obj7 f7 f6 f5 f4 f3 f2 f1 =
  raw_merge_objs (obj3 f7 f6 f5) (obj4 f4 f3 f2 f1)

let obj8 f8 f7 f6 f5 f4 f3 f2 f1 =
  raw_merge_objs (obj4 f8 f7 f6 f5) (obj4 f4 f3 f2 f1)

let obj9 f9 f8 f7 f6 f5 f4 f3 f2 f1 =
  raw_merge_objs (obj1 f9) (obj8 f8 f7 f6 f5 f4 f3 f2 f1)

let obj10 f10 f9 f8 f7 f6 f5 f4 f3 f2 f1 =
  raw_merge_objs (obj2 f10 f9) (obj8 f8 f7 f6 f5 f4 f3 f2 f1)

let merge_objs o1 o2 =
  if is_obj o1 && is_obj o2 then raw_merge_objs o1 o2
  else invalid_arg "Json_encoding.merge_objs"

let raw_merge_tups left right =
  let kind = Kind.combine "tuples" (classify left) (classify right) in
  make @@ Tups {kind; left; right}

let tup1 e1 = make @@ Tup e1

let tup2 e2 e1 = raw_merge_tups (tup1 e2) (tup1 e1)

let tup3 e3 e2 e1 = raw_merge_tups (tup1 e3) (tup2 e2 e1)

let tup4 e4 e3 e2 e1 = raw_merge_tups (tup2 e4 e3) (tup2 e2 e1)

let tup5 e5 e4 e3 e2 e1 = raw_merge_tups (tup1 e5) (tup4 e4 e3 e2 e1)

let tup6 e6 e5 e4 e3 e2 e1 = raw_merge_tups (tup2 e6 e5) (tup4 e4 e3 e2 e1)

let tup7 e7 e6 e5 e4 e3 e2 e1 =
  raw_merge_tups (tup3 e7 e6 e5) (tup4 e4 e3 e2 e1)

let tup8 e8 e7 e6 e5 e4 e3 e2 e1 =
  raw_merge_tups (tup4 e8 e7 e6 e5) (tup4 e4 e3 e2 e1)

let tup9 e9 e8 e7 e6 e5 e4 e3 e2 e1 =
  raw_merge_tups (tup1 e9) (tup8 e8 e7 e6 e5 e4 e3 e2 e1)

let tup10 e10 e9 e8 e7 e6 e5 e4 e3 e2 e1 =
  raw_merge_tups (tup2 e10 e9) (tup8 e8 e7 e6 e5 e4 e3 e2 e1)

let merge_tups t1 t2 =
  if is_tup t1 && is_tup t2 then raw_merge_tups t1 t2
  else invalid_arg "Tezos_serial.Encoding.merge_tups"

let conv3 ty =
  conv (fun (c, b, a) -> (c, (b, a))) (fun (c, (b, a)) -> (c, b, a)) ty

let obj3 f3 f2 f1 = conv3 (obj3 f3 f2 f1)

let tup3 f3 f2 f1 = conv3 (tup3 f3 f2 f1)

let conv4 ty =
  conv
    (fun (d, c, b, a) -> ((d, c), (b, a)))
    (fun ((d, c), (b, a)) -> (d, c, b, a))
    ty

let obj4 f4 f3 f2 f1 = conv4 (obj4 f4 f3 f2 f1)

let tup4 f4 f3 f2 f1 = conv4 (tup4 f4 f3 f2 f1)

let conv5 ty =
  conv
    (fun (e, d, c, b, a) -> (e, ((d, c), (b, a))))
    (fun (e, ((d, c), (b, a))) -> (e, d, c, b, a))
    ty

let obj5 f5 f4 f3 f2 f1 = conv5 (obj5 f5 f4 f3 f2 f1)

let tup5 f5 f4 f3 f2 f1 = conv5 (tup5 f5 f4 f3 f2 f1)

let conv6 ty =
  conv
    (fun (f, e, d, c, b, a) -> ((f, e), ((d, c), (b, a))))
    (fun ((f, e), ((d, c), (b, a))) -> (f, e, d, c, b, a))
    ty

let obj6 f6 f5 f4 f3 f2 f1 = conv6 (obj6 f6 f5 f4 f3 f2 f1)

let tup6 f6 f5 f4 f3 f2 f1 = conv6 (tup6 f6 f5 f4 f3 f2 f1)

let conv7 ty =
  conv
    (fun (g, f, e, d, c, b, a) -> ((g, (f, e)), ((d, c), (b, a))))
    (fun ((g, (f, e)), ((d, c), (b, a))) -> (g, f, e, d, c, b, a))
    ty

let obj7 f7 f6 f5 f4 f3 f2 f1 = conv7 (obj7 f7 f6 f5 f4 f3 f2 f1)

let tup7 f7 f6 f5 f4 f3 f2 f1 = conv7 (tup7 f7 f6 f5 f4 f3 f2 f1)

let conv8 ty =
  conv
    (fun (h, g, f, e, d, c, b, a) -> (((h, g), (f, e)), ((d, c), (b, a))))
    (fun (((h, g), (f, e)), ((d, c), (b, a))) -> (h, g, f, e, d, c, b, a))
    ty

let obj8 f8 f7 f6 f5 f4 f3 f2 f1 = conv8 (obj8 f8 f7 f6 f5 f4 f3 f2 f1)

let tup8 f8 f7 f6 f5 f4 f3 f2 f1 = conv8 (tup8 f8 f7 f6 f5 f4 f3 f2 f1)

let conv9 ty =
  conv
    (fun (i, h, g, f, e, d, c, b, a) ->
      (i, (((h, g), (f, e)), ((d, c), (b, a)))))
    (fun (i, (((h, g), (f, e)), ((d, c), (b, a)))) ->
      (i, h, g, f, e, d, c, b, a))
    ty

let obj9 f9 f8 f7 f6 f5 f4 f3 f2 f1 = conv9 (obj9 f9 f8 f7 f6 f5 f4 f3 f2 f1)

let tup9 f9 f8 f7 f6 f5 f4 f3 f2 f1 = conv9 (tup9 f9 f8 f7 f6 f5 f4 f3 f2 f1)

let conv10 ty =
  conv
    (fun (j, i, h, g, f, e, d, c, b, a) ->
      ((j, i), (((h, g), (f, e)), ((d, c), (b, a)))))
    (fun ((j, i), (((h, g), (f, e)), ((d, c), (b, a)))) ->
      (j, i, h, g, f, e, d, c, b, a))
    ty

let obj10 f10 f9 f8 f7 f6 f5 f4 f3 f2 f1 =
  conv10 (obj10 f10 f9 f8 f7 f6 f5 f4 f3 f2 f1)

let tup10 f10 f9 f8 f7 f6 f5 f4 f3 f2 f1 =
  conv10 (tup10 f10 f9 f8 f7 f6 f5 f4 f3 f2 f1)

let check_cases tag_size cases =
  if cases = [] then invalid_arg "Data_encoding.union: empty list of cases.";
  let max_tag = match tag_size with `Uint8 -> 256 | `Uint16 -> 256 * 256 in
  ignore
  @@ List.fold_left
       (fun others (Case {tag; _}) ->
         match tag with
         | Json_only -> others
         | Tag tag ->
             if List.mem tag others then
               Format.kasprintf
                 invalid_arg
                 "The tag %d appears twice in an union."
                 tag;
             if tag < 0 || max_tag <= tag then
               Format.kasprintf invalid_arg "The tag %d is invalid." tag;
             tag :: others)
       []
       cases

let union ?(tag_size = `Uint8) cases =
  check_cases tag_size cases;
  let kinds = List.map (fun (Case {encoding; _}) -> classify encoding) cases in
  let kind = Kind.merge_list tag_size kinds in
  make @@ Union {kind; tag_size; cases}

let case ~title ?description tag encoding proj inj =
  Case {title; description; encoding; proj; inj; tag}

let rec is_nullable : type t. t encoding -> bool =
 fun e ->
  match e.encoding with
  | Null -> true
  | Empty -> false
  | Ignore -> true
  | Constant _ -> false
  | Bool -> false
  | Int8 -> false
  | Uint8 -> false
  | Int16 -> false
  | Uint16 -> false
  | Int31 -> false
  | Int32 -> false
  | Int64 -> false
  | N -> false
  | Z -> false
  | RangedInt _ -> false
  | RangedFloat _ -> false
  | Float -> false
  | Bytes _ -> false
  | String _ -> false
  | Padded (e, _) -> is_nullable e
  | String_enum _ -> false
  | Array _ -> false
  | List _ -> false
  | Obj _ -> false
  | Objs _ -> false
  | Tup _ -> false
  | Tups _ -> false
  | Union {cases; _} ->
      List.exists (fun (Case {encoding = e; _}) -> is_nullable e) cases
  | Mu {fix; _} -> is_nullable (fix e)
  | Conv {encoding = e; _} -> is_nullable e
  | Describe {encoding = e; _} -> is_nullable e
  | Splitted {json_encoding; _} -> Json_encoding.is_nullable json_encoding
  | Dynamic_size {encoding = e; _} -> is_nullable e
  | Check_size {encoding = e; _} -> is_nullable e
  | Delayed _ -> true

let option ty =
  if is_nullable ty then
    invalid_arg "Data_encoding.option: cannot nest nullable encodings";
  (* TODO add a special construct `Option` in the GADT *)
  union
    ~tag_size:`Uint8
    [
      case (Tag 1) ty ~title:"Some" (fun x -> x) (fun x -> Some x);
      case
        (Tag 0)
        null
        ~title:"None"
        (function None -> Some () | Some _ -> None)
        (fun () -> None);
    ]

let mu name ?title ?description fix =
  let kind =
    try
      let precursor =
        make @@ Mu {kind = `Dynamic; name; title; description; fix}
      in
      match classify @@ fix precursor with
      | `Fixed _ | `Dynamic -> `Dynamic
      | `Variable -> raise Exit
    with Exit | _ (* TODO variability error *) ->
      let precursor =
        make @@ Mu {kind = `Variable; name; title; description; fix}
      in
      ignore (classify @@ fix precursor);
      `Variable
  in
  make @@ Mu {kind; name; title; description; fix}

let result ok_enc error_enc =
  union
    ~tag_size:`Uint8
    [
      case
        (Tag 1)
        ok_enc
        ~title:"Ok"
        (function Ok x -> Some x | Error _ -> None)
        (fun x -> Ok x);
      case
        (Tag 0)
        error_enc
        ~title:"Result"
        (function Ok _ -> None | Error x -> Some x)
        (fun x -> Error x);
    ]
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