Source file typechecking.ml
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open Term
open Typing
let debug = ref false
(** {1 Type checking / inference} *)
(** Terms for which generalization is safe. *)
let value_restriction t =
let rec value_restriction t =
match t.term with
| Var _ -> true
| Fun _ -> true
| RFun _ -> true
| Null -> true
| List l | Tuple l -> List.for_all value_restriction l
| Ground _ -> true
| Let l -> value_restriction l.def && value_restriction l.body
| Cast (t, _) -> value_restriction t
| _ -> false
in
value_restriction t
&& Methods.for_all (fun _ meth_term -> value_restriction meth_term) t.methods
(** A simple mechanism for delaying printing toplevel tasks as late as possible,
to avoid seeing too many unknown variables. *)
let add_task, pop_tasks =
let q = Queue.create () in
( (fun f -> Queue.add f q),
fun () ->
try
while true do
(Queue.take q) ()
done
with Queue.Empty -> () )
(** Generate a type with fresh variables for a pattern. *)
let rec type_of_pat ~level ~pos = function
| PVar x ->
let a = Type.var ~level ?pos () in
([(x, a)], a)
| PTuple l ->
let env, l =
List.fold_left
(fun (env, l) p ->
let env', a = type_of_pat ~level ~pos p in
(env' @ env, a :: l))
([], []) l
in
let l = List.rev l in
(env, Type.make ?pos (Type.Tuple l))
| PList (l, spread, l') ->
let fold_env l ty =
List.fold_left
(fun (env, ty, ety) p ->
let env', ty' = type_of_pat ~level ~pos p in
let ty = Typing.sup ~pos ty ty' in
(env' @ env, ty, ty' :: ety))
([], ty, []) l
in
let ty = Type.var ~level ?pos () in
let env, ty, ety = fold_env l ty in
let env', ty, ety' = fold_env l' ty in
let spread_env =
match spread with
| None -> []
| Some v ->
[([v], Type.make ?pos Type.(List { t = ty; json_repr = `Tuple }))]
in
List.iter (fun ety -> Typing.(ety <: ty)) (ety @ ety');
( env' @ spread_env @ env,
Type.make ?pos Type.(List { t = ty; json_repr = `Tuple }) )
| PMeth (pat, l) ->
let env, ty =
match pat with
| None -> ([], Type.make ?pos (Type.Tuple []))
| Some pat -> type_of_pat ~level ~pos pat
in
Typing.(
ty
<: List.fold_left
(fun ty (label, _) ->
Type.meth ~optional:true label
([], Type.make ?pos Ground_type.never)
ty)
(Type.var ~level ?pos ()) l);
let env, ty =
List.fold_left
(fun (env, ty) (lbl, p) ->
let env', a =
match p with
| None -> ([], Type.var ~level ?pos ())
| Some pat -> type_of_pat ~level ~pos pat
in
let ty =
Type.make ?pos
Type.(
Meth
( {
meth = lbl;
optional = false;
scheme = ([], a);
doc = "";
json_name = None;
},
ty ))
in
(env' @ [([lbl], a)] @ env, ty))
(env, ty) l
in
(env, ty)
let rec check ?(print_toplevel = false) ~throw ~level ~(env : Typing.env) e =
let check = check ~throw in
if !debug then Printf.printf "\n# %s : ?\n\n%!" (Term.to_string e);
let check ?print_toplevel ~level ~env e =
check ?print_toplevel ~level ~env e;
if !debug then
Printf.printf "\n# %s : %s\n\n%!" (Term.to_string e) (Type.to_string e.t)
in
let pos = e.t.Type.pos in
let mk t = Type.make ?pos t in
let check_fun ~proto ~env e body =
let base_check = check ~level ~env in
let proto_t, env =
List.fold_left
(fun (p, env) -> function
| lbl, var, kind, None ->
update_level level kind;
((false, lbl, kind) :: p, (var, ([], kind)) :: env)
| lbl, var, kind, Some v ->
update_level level kind;
base_check v;
v.t <: kind;
((true, lbl, kind) :: p, (var, ([], kind)) :: env))
([], env) proto
in
let proto_t = List.rev proto_t in
List.fold_left
(fun labels (_, l, _) ->
if l = "" then labels
else (
if List.mem l labels then raise (Duplicate_label (e.t.Type.pos, l));
l :: labels))
[] proto_t
|> ignore;
check ~level ~env body;
e.t >: mk (Type.Arrow (proto_t, body.t))
in
let base_type = Type.var () in
let () =
match e.term with
| Ground g -> base_type >: mk (Ground.to_descr g)
| Encoder f ->
let rec check_enc (_, p) =
List.iter
(function
| _, `Term t -> check ~level ~env t
| _, `Encoder e -> check_enc e)
p
in
check_enc f;
let t =
try !Hooks.type_of_encoder ~pos f
with Not_found ->
let bt = Printexc.get_raw_backtrace () in
Printexc.raise_with_backtrace
(Unsupported_encoder (pos, Term.to_string e))
bt
in
base_type >: t
| List l ->
List.iter (fun x -> check ~level ~env x) l;
let t = Type.var ~level ?pos () in
List.iter (fun e -> e.t <: t) l;
base_type >: mk Type.(List { t; json_repr = `Tuple })
| Tuple l ->
List.iter (fun a -> check ~level ~env a) l;
base_type >: mk (Type.Tuple (List.map (fun a -> a.t) l))
| Null -> base_type >: mk (Type.Nullable (Type.var ~level ?pos ()))
| Cast (a, t) ->
check ~level ~env a;
a.t <: t;
base_type >: t
| Invoke { invoked = a; default; meth = l } ->
check ~level ~env a;
let rec aux t =
match (Type.deref t).Type.descr with
| Type.(Meth ({ meth = l'; scheme = s }, _)) when l = l' ->
(fst s, Typing.instantiate ~level s)
| Type.(Meth (_, c)) -> aux c
| _ ->
let x = Type.var ~level ?pos () in
let y = Type.var ~level ?pos () in
a.t
<: mk
Type.(
Meth
( {
meth = l;
optional = default <> None;
scheme = ([], x);
doc = "";
json_name = None;
},
y ));
([], x)
in
let vars, typ = aux a.t in
let typ =
match default with
| None -> typ
| Some v ->
check ~level ~env v;
let typ =
match (Type.deref v.t).descr with
| Type.Nullable _ -> mk Type.(Nullable typ)
| _ -> typ
in
Typing.instantiate ~level (vars, v.t) <: typ;
typ
in
base_type >: typ
| Open (a, b) ->
check ~level ~env a;
a.t <: mk Type.unit;
let rec aux env t =
match (Type.deref t).Type.descr with
| Type.(Meth ({ meth = l; scheme = g, u }, t)) ->
aux ((l, (g, u)) :: env) t
| _ -> env
in
let env = aux env a.t in
check ~level ~env b;
base_type >: b.t
| Seq (a, b) ->
check ~env ~level a;
if not (can_ignore a.t) then throw (Ignored a);
check ~print_toplevel ~level ~env b;
base_type >: b.t
| App (a, l) -> (
check ~level ~env a;
List.iter (fun (_, b) -> check ~env ~level b) l;
match (Type.demeth a.t).Type.descr with
| Type.Arrow (ap, t) ->
let get_arg lbl l =
let rec aux acc = function
| [] -> None
| (o, lbl', t) :: l ->
if lbl = lbl' then Some (o, t, List.rev_append acc l)
else aux ((o, lbl', t) :: acc) l
in
aux [] l
in
let _, ap =
List.fold_left
(fun (already, ap) (lbl, v) ->
match get_arg lbl ap with
| None ->
let first = not (List.mem lbl already) in
raise (No_label (a, lbl, first, v))
| Some (_, t, ap') ->
(match (a.term, lbl) with
| Var "if", "then" | Var "if", "else" -> (
match
( (Type.deref v.t).descr,
(Type.deref t).descr )
with
| Type.Arrow ([], vt), Type.Arrow ([], t) ->
vt <: t
| _ -> assert false)
| _ -> v.t <: t);
(lbl :: already, ap'))
([], ap) l
in
let mandatory =
List.filter_map
(fun (o, l, t) -> if o then None else Some (l, t))
ap
in
if mandatory <> [] then
raise (Term.Missing_arguments (pos, mandatory));
base_type >: t
| _ ->
let p = List.map (fun (lbl, b) -> (false, lbl, b.t)) l in
a.t <: Type.make (Type.Arrow (p, base_type)))
| Fun (_, proto, body) -> check_fun ~proto ~env e body
| RFun (x, _, proto, body) ->
let env = (x, ([], base_type)) :: env in
check_fun ~proto ~env e body
| Var var ->
let s =
try List.assoc var env
with Not_found -> raise (Unbound (pos, var))
in
base_type >: Typing.instantiate ~level s;
if Lazy.force Term.debug then
Printf.eprintf "Instantiate %s : %s becomes %s\n" var
(Type.string_of_scheme s) (Type.to_string base_type)
| Let ({ pat; replace; def; body; _ } as l) ->
check ~level:(level + 1) ~env def;
let generalized =
if value_restriction def then fst (generalize ~level def.t) else []
in
let penv, pa = type_of_pat ~level ~pos pat in
def.t <: pa;
let penv =
List.map
(fun (ll, a) ->
match ll with
| [] -> assert false
| [x] ->
let a =
if replace then Type.remeth (snd (List.assoc x env)) a
else a
in
if !debug then
Printf.printf "\nLET %s : %s\n%!" x
(Repr.string_of_scheme (generalized, a));
(x, (generalized, a))
| l :: ll -> (
try
let g, t = List.assoc l env in
let a =
if replace then
Type.remeth (snd (Type.invokes t ll)) a
else a
in
(l, (g, Type.meths ?pos ll (generalized, a) t))
with Not_found -> raise (Unbound (pos, l))))
penv
in
let env = penv @ env in
l.gen <- generalized;
if print_toplevel then
add_task (fun () ->
Format.printf "@[<2>%s :@ %a@]@."
(let name = string_of_pat pat in
let l = String.length name and max = 5 in
if l >= max then name else name ^ String.make (max - l) ' ')
(fun f t -> Repr.print_scheme f (generalized, t))
def.t);
check ~print_toplevel ~level ~env body;
base_type >: body.t
in
e.t
>: Methods.fold
(fun meth meth_term t ->
check ~level ~env meth_term;
Type.make ?pos
(Type.Meth
( {
Type.meth;
optional = false;
scheme = Typing.generalize ~level meth_term.t;
doc = "";
json_name = None;
},
t )))
e.methods base_type
let display_types = ref false
let check ?env ?(ignored = false) ~throw e =
let print_toplevel = !display_types in
try
let env =
match env with
| Some env -> env
| None -> Environment.default_typing_environment ()
in
check ~print_toplevel ~throw ~level:0 ~env e;
if print_toplevel && (Type.deref e.t).Type.descr <> Type.unit then
add_task (fun () ->
Format.printf "@[<2>- :@ %a@]@." Repr.print_type e.t);
if ignored && not (can_ignore e.t) then throw (Ignored e);
pop_tasks ()
with e ->
let bt = Printexc.get_raw_backtrace () in
pop_tasks ();
Printexc.raise_with_backtrace e bt