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/usr/lib/ocaml/atd/atd_check.ml is in libatd-ocaml-dev 1.1.1-2.

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(* Semantic verification *)

open Printf

open Atd_ast

let add_name accu = function
    `Name (_, (loc, k, tal), _) -> k :: accu
  | _ -> accu

let get_kind = function
    `Sum _ -> `Sum
  | `Record _ -> `Record
  | _ -> `Other

let check_inheritance tbl (t0 : type_expr) =
  let not_a kind x =
    let msg =
      sprintf "Cannot inherit from non-%s type"
        (match kind with
             `Sum -> "variant"
           | `Record -> "record"
           | _ -> assert false)
    in
    error_at (loc_of_type_expr t0) msg
  in

  let rec check kind inherited (t : type_expr) =
    match t with
        `Sum (_, vl, _) when kind = `Sum ->
          List.iter (
            function
                `Inherit (_, t) -> check kind inherited t
              | `Variant _ -> ()
          ) vl

      | `Record (_, fl, _) when kind = `Record ->
          List.iter (
          function
              `Inherit (_, t) -> check kind inherited t
            | `Field _ -> ()
          ) fl

      | `Sum _
      | `Record _
      | `Tuple _
      | `List _
      | `Option _
      | `Nullable _
      | `Shared _
      | `Wrap _ as x -> not_a kind x

      | `Name (_, (loc, k, tal), _) ->
          if List.mem k inherited then
            error_at (loc_of_type_expr t0) "Cyclic inheritance"
          else
            let (arity, opt_def) =
              try Hashtbl.find tbl k
              with Not_found -> error_at loc ("Undefined type " ^ k)
            in
            (match opt_def with
                 None -> ()
               | Some (_, _, t) -> check kind (k :: inherited) t
            )

      | `Tvar _ ->
          error_at (loc_of_type_expr t0) "Cannot inherit from a type variable"

  in

  check (get_kind t0) (add_name [] t0) t0


let check_type_expr tbl tvars (t : type_expr) =
  let rec check : type_expr -> unit = function
      `Sum (_, vl, _) as x ->
        List.iter (check_variant (Hashtbl.create 10)) vl;
        check_inheritance tbl x

    | `Record (_, fl, _) as x ->
        List.iter (check_field (Hashtbl.create 10)) fl;
        check_inheritance tbl x

    | `Tuple (_, tl, _) -> List.iter (fun (_, x, _) -> check x) tl
    | `List (_, t, _) -> check t
    | `Option (_, t, _) -> check t
    | `Nullable (_, t, _) -> check t
    | `Shared (loc, t, _) ->
        if Atd_ast.is_parametrized t then
          error_at loc "Shared type cannot be polymorphic";
        check t
    | `Wrap (_, t, _) -> check t

    | `Name (_, (loc, k, tal), _) ->
        assert (k <> "list" && k <> "option"
                && k <> "nullable" && k <> "shared" && k <> "wrap");
        let (arity, opt_def) =
          try Hashtbl.find tbl k
          with Not_found -> error_at loc ("Undefined type " ^ k)
        in
        let n = List.length tal in
        if arity <> n then
          error_at loc (sprintf "Type %s was defined to take %i parameters, \
                                 but %i argument%s."
                       k arity n (if n > 1 then "s are given"
                                  else " is given")
                    );

        List.iter check tal

    | `Tvar (loc, s) ->
        if not (List.mem s tvars) then
          error_at loc (sprintf "Unbound type variable '%s" s)


  and check_variant accu = function
      `Variant (loc, (k, _), opt_t) ->
        if Hashtbl.mem accu k then
          error_at loc
            (sprintf
               "Multiple definitions of the same variant constructor %s" k);
        Hashtbl.add accu k ();
        (match opt_t with
             None -> ()
           | Some t -> check t)

    | `Inherit (_, t) ->
        (* overriding is allowed, for now without a warning *)
        check t

  and check_field accu = function
      `Field (loc, (k, fk, _), t) ->
        if Hashtbl.mem accu k then
          error_at loc
            (sprintf "Multiple definitions of the same field %s" k);
        Hashtbl.add accu k ();
        check t

    | `Inherit (_, t) ->
        (* overriding is allowed, for now without a warning *)
        check t
  in

  check t


let check (l : Atd_ast.module_body) =
  let predef = Atd_predef.make_table () in
  let tbl = Hashtbl.copy predef in

  (* first pass: put all definitions in the table *)
  List.iter (
    function `Type ((loc, (k, pl, a), t) as x) ->
      if Hashtbl.mem tbl k then
        if Hashtbl.mem predef k then
          error_at loc
            (sprintf "%s is a predefined type, it cannot be redefined." k)
        else
          error_at loc
            (sprintf "Type %s is defined for the second time." k)
      else
        Hashtbl.add tbl k (List.length pl, Some x)
  ) l;

  (* second pass: check existence and arity of types in type expressions,
     check that inheritance is not cyclic *)
  List.iter (
    function `Type (loc, (k, tvars, a), t) ->
      check_type_expr tbl tvars t
  ) l;