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(********************************************************************)
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(*                                                                  *)
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(*  The LustreC compiler toolset   /  The LustreC Development Team  *)
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(*  Copyright 2012 -    --   ONERA - CNRS - INPT                    *)
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(*                                                                  *)
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(*  LustreC is free software, distributed WITHOUT ANY WARRANTY      *)
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(*  under the terms of the GNU Lesser General Public License        *)
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(*  version 2.1.                                                    *)
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(*                                                                  *)
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(********************************************************************)
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(** Main typing module. Classic inference algorithm with destructive
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    unification. *)
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(* Though it shares similarities with the clock calculus module, no code
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    is shared.  Simple environments, very limited identifier scoping, no
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    identifier redefinition allowed. *)
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open Utils
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(* Yes, opening both modules is dirty as some type names will be
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   overwritten, yet this makes notations far lighter.*)
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open Corelang
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open Init
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open Format
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(** [occurs tvar ty] returns true if the type variable [tvar] occurs in
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    type [ty]. False otherwise. *)
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let rec occurs tvar ty =
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  let ty = repr ty in
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  match ty.tdesc with
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  | Ivar -> ty=tvar
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  | Iarrow (t1, t2) ->
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      (occurs tvar t1) || (occurs tvar t2)
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  | Ituple tl ->
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      List.exists (occurs tvar) tl
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  | Ilink t -> occurs tvar t
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  | Isucc t -> occurs tvar t
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  | Iunivar -> false
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(** Promote monomorphic type variables to polymorphic type variables. *)
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(* Generalize by side-effects *)
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let rec generalize ty =
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  match ty.tdesc with
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  | Ivar ->
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      (* No scopes, always generalize *)
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      ty.idesc <- Iunivar
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  | Iarrow (t1,t2) ->
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      generalize t1; generalize t2
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  | Ituple tlist ->
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      List.iter generalize tlist
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  | Ilink t ->
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      generalize t
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  | Isucc t ->
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      generalize t
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  | Tunivar -> ()
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(** Downgrade polymorphic type variables to monomorphic type variables *)
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let rec instanciate inst_vars ty =
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  let ty = repr ty in
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  match ty.idesc with
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  | Ivar -> ty
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  | Iarrow (t1,t2) ->
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      {ty with idesc =
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       Iarrow ((instanciate inst_vars t1), (instanciate inst_vars t2))}
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  | Ituple tlist ->
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      {ty with idesc = Ituple (List.map (instanciate inst_vars) tlist)}
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  | Isucc t ->
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	(* should not happen *)
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	{ty with idesc = Isucc (instanciate inst_vars t)}
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  | Ilink t ->
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	(* should not happen *)
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	{ty with idesc = Ilink (instanciate inst_vars t)}
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  | Iunivar ->
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      try
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        List.assoc ty.iid !inst_vars
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      with Not_found ->
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        let var = new_var () in
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	inst_vars := (ty.iid, var)::!inst_vars;
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	var
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(** [unify env t1 t2] unifies types [t1] and [t2]. Raises [Unify
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    (t1,t2)] if the types are not unifiable.*)
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(* Standard destructive unification *)
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(* may loop for omega types *)
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let rec unify t1 t2 =
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  let t1 = repr t1 in
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  let t2 = repr t2 in
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  if t1=t2 then
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    ()
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  else
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    (* No type abbreviations resolution for now *)
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    match t1.idesc,t2.idesc with
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      (* This case is not mandory but will keep "older" types *)
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    | Ivar, Ivar ->
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        if t1.iid < t2.iid then
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          t2.idesc <- Ilink t1
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        else
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          t1.idesc <- Ilink t2
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    | (Ivar, _) when (not (occurs t1 t2)) ->
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        t1.idesc <- Ilink t2
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    | (_,Ivar) when (not (occurs t2 t1)) ->
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        t2.idesc <- Ilink t1
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    | Isucc t1, Isucc t1' -> unify t1 t1'
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    | Iarrow (t1,t2), Iarrow (t1',t2') ->
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        unify t1 t1'; unify t2 t2'
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    | Ituple tlist1, Ituple tlist2 ->
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        if (List.length tlist1) <> (List.length tlist2) then
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	  raise (Unify (t1, t2))
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	else
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          List.iter2 unify tlist1 tlist2
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    | Iunivar,_ | _, Iunivar -> 
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        ()
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    | _,_ -> raise (Unify (t1, t2))
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let init_of_const c = 
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 Init_predef.init_zero
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let rec init_expect env in_main expr ty =
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  let texpr = init_expr env in_main expr in
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  try
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    unify texpr ty
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  with Unify (t1,t2) ->
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    raise (Error (expr.expr_loc, Init_clash (t1,t2)))
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and init_ident env in_main id loc = 
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  init_expr env in_main (expr_of_ident id loc)
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(** [type_expr env in_main expr] types expression [expr] in environment
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    [env]. *)
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and init_expr env in_main expr =
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  match expr.expr_desc with
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  | Expr_const c ->
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      let ty = init_of_const c in
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      expr.expr_init <- ty;
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      ty
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  | Expr_ident v ->
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      let tyv =
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        try
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          Env.lookup_value env v
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        with Not_found ->
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          raise (Error (expr.expr_loc, Unbound_value v))
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      in
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      let ty = instanciate (ref []) tyv in
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      expr.expr_init <- ty;
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      ty
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  | Expr_tuple elist ->
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      let ty = new_ty (Ttuple (List.map (type_expr env in_main) elist)) in
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      expr.expr_init <- ty;
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      ty
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  | Expr_appl (id, args, r) ->
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    (match r with
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    | None   -> ()
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    | Some x -> let expr_x = expr_of_ident x expr.expr_loc in
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		init_expect env in_main expr_x Init_predef.init_zero);
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      let tfun = type_ident env in_main id expr.expr_loc in
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      let tins,touts= split_arrow tfun in
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      type_expect env in_main args tins;
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      expr.expr_type <- touts;
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      touts
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  | Expr_arrow (e1,e2) ->
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      let ty = type_expr env in_main e1 in
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      type_expect env in_main e2 ty;
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      expr.expr_type <- ty;
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      ty
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  | Expr_fby (init,e) ->
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      let ty = type_of_const init in
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      type_expect env in_main e ty;
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      expr.expr_type <- ty;
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      ty
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  | Expr_concat (hd,e) ->
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      let ty = type_of_const hd in
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      type_expect env in_main e ty;
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      expr.expr_type <- ty;
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      ty
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  | Expr_tail e ->
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      let ty = type_expr env in_main e in
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      expr.expr_type <- ty;
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      ty
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  | Expr_pre e ->
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      let ty = type_expr env in_main e in
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      expr.expr_type <- ty;
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      ty
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  | Expr_when (e1,c) | Expr_whennot (e1,c) ->
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      let expr_c = expr_of_ident c expr.expr_loc in
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      type_expect env in_main expr_c Type_predef.type_bool;
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      let tlarg = type_expr env in_main e1 in
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      expr.expr_type <- tlarg;
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      tlarg
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  | Expr_merge (c,e2,e3) ->
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      let expr_c = expr_of_ident c expr.expr_loc in
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      type_expect env in_main expr_c Type_predef.type_bool;
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      let te2 = type_expr env in_main e2 in
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      type_expect env in_main e3 te2;
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      expr.expr_type <- te2;
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      te2
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  | Expr_uclock (e,k) | Expr_dclock (e,k) ->
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      let ty = type_expr env in_main e in
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      expr.expr_type <- ty;
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      ty
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  | Expr_phclock (e,q) ->
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      let ty = type_expr env in_main e in
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      expr.expr_type <- ty;
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      ty
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(** [type_eq env eq] types equation [eq] in environment [env] *)
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let type_eq env in_main undefined_vars eq =
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  (* Check multiple variable definitions *)
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  let define_var id uvars =
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    try
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      ignore(IMap.find id uvars);
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      IMap.remove id uvars
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    with Not_found ->
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      raise (Error (eq.eq_loc, Already_defined id))
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  in
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  let undefined_vars =
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    List.fold_left (fun uvars v -> define_var v uvars) undefined_vars eq.eq_lhs in
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  (* Type lhs *)
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  let get_value_type id =
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    try
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      Env.lookup_value env id
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    with Not_found ->
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      raise (Error (eq.eq_loc, Unbound_value id))
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  in
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  let tyl_lhs = List.map get_value_type eq.eq_lhs in
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  let ty_lhs = type_of_type_list tyl_lhs in
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  (* Type rhs *) 
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  type_expect env in_main eq.eq_rhs ty_lhs;
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  undefined_vars
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(* [type_coretype cty] types the type declaration [cty] *)
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let type_coretype cty =
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  match cty with
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  | Tydec_any -> new_var ()
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  | Tydec_int -> Type_predef.type_int
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  | Tydec_real -> Type_predef.type_real
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  | Tydec_float -> Type_predef.type_real
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  | Tydec_bool -> Type_predef.type_bool
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  | Tydec_clock -> Type_predef.type_clock
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(* [type_coreclock env ck id loc] types the type clock declaration [ck]
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   in environment [env] *)
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let type_coreclock env ck id loc =
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  match ck.ck_dec_desc with
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  | Ckdec_any | Ckdec_pclock (_,_) -> ()
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  | Ckdec_bool cl ->
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      let dummy_id_expr = expr_of_ident id loc in
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      let when_expr =
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        List.fold_left
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          (fun expr c ->
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            match c with
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            | Wtrue id ->
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                {expr_tag = new_tag ();
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                 expr_desc=Expr_when (expr,id);
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                 expr_type = new_var ();
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                 expr_clock = Clocks.new_var true;
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                 expr_loc=loc}
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            | Wfalse id ->
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                {expr_tag = new_tag ();
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                 expr_desc=Expr_whennot (expr,id);
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                 expr_type = new_var ();
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                 expr_clock = Clocks.new_var true;
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                 expr_loc=loc})
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          dummy_id_expr cl
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      in
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      ignore (type_expr env false when_expr)
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let type_var_decl env vdecl =
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  if (Env.exists_value env vdecl.var_id) then
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    raise (Error (vdecl.var_loc,Already_bound vdecl.var_id))
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  else
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    let ty = type_coretype vdecl.var_dec_type.ty_dec_desc in
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    let new_env = Env.add_value env vdecl.var_id ty in
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    type_coreclock new_env vdecl.var_dec_clock vdecl.var_id vdecl.var_loc;
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    vdecl.var_type <- ty;
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    new_env
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let type_var_decl_list env l =
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  List.fold_left type_var_decl env l
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let type_of_vlist vars =
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  let tyl = List.map (fun v -> v.var_type) vars in
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  type_of_type_list tyl
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(** [type_node env nd loc] types node [nd] in environment env. The
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    location is used for error reports. *)
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let type_node env nd loc =
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  let is_main = nd.node_id = !Options.main_node in
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  let delta_env = type_var_decl_list IMap.empty nd.node_inputs in
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  let delta_env = type_var_decl_list delta_env nd.node_outputs in
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  let delta_env = type_var_decl_list delta_env nd.node_locals in
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  let new_env = Env.overwrite env delta_env in
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  let undefined_vars_init =
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    List.fold_left
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      (fun uvs v -> IMap.add v.var_id () uvs)
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      IMap.empty (nd.node_outputs@nd.node_locals) in
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  let undefined_vars =
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    List.fold_left (type_eq new_env is_main) undefined_vars_init nd.node_eqs
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  in
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  (* check that table is empty *)
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  if (not (IMap.is_empty undefined_vars)) then
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    raise (Error (loc,Undefined_var undefined_vars));
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  let ty_ins = type_of_vlist nd.node_inputs in
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  let ty_outs = type_of_vlist nd.node_outputs in
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  let ty_node = new_ty (Tarrow (ty_ins,ty_outs)) in
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  generalize ty_node;
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  (* TODO ? Check that no node in the hierarchy remains polymorphic ? *)
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  nd.node_type <- ty_node;
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  Env.add_value env nd.node_id ty_node
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let type_imported_node env nd loc =
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  let new_env = type_var_decl_list env nd.nodei_inputs in
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  ignore(type_var_decl_list new_env nd.nodei_outputs);
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  let ty_ins = type_of_vlist nd.nodei_inputs in
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  let ty_outs = type_of_vlist nd.nodei_outputs in
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  let ty_node = new_ty (Tarrow (ty_ins,ty_outs)) in
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  generalize ty_node;
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  if (is_polymorphic ty_node) then
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    raise (Error (loc, Poly_imported_node nd.nodei_id));
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  let new_env = Env.add_value env nd.nodei_id ty_node in
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  nd.nodei_type <- ty_node;
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  new_env
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let type_top_decl env decl =
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  match decl.top_decl_desc with
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  | Node nd -> 
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      type_node env nd decl.top_decl_loc
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  | ImportedNode nd ->
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      type_imported_node env nd decl.top_decl_loc
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  | SensorDecl _ | ActuatorDecl _ | Consts _ -> env
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let type_top_consts env decl =
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  match decl.top_decl_desc with
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    | Consts clist -> 
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      List.fold_left (fun env (id, c) ->
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	let ty = type_of_const c in
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	Env.add_value env id ty       
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      ) env clist
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    | Node _ | ImportedNode _ | SensorDecl _ | ActuatorDecl _ -> env
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let type_prog env decls =
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  let new_env = List.fold_left type_top_consts env decls in
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  ignore(List.fold_left type_top_decl new_env decls)
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(* Local Variables: *)
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(* compile-command:"make -C .." *)
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(* End: *)
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