CristalCaveGem » LustreC

(********************************************************************)

(*                                                                  *)

(*  The LustreC compiler toolset   /  The LustreC Development Team  *)

(*  Copyright 2012 -    --   ONERA - CNRS - INPT - LIFL             *)

(*                                                                  *)

(*  LustreC is free software, distributed WITHOUT ANY WARRANTY      *)

(*  under the terms of the GNU Lesser General Public License        *)

(*  version 2.1.                                                    *)

(*                                                                  *) 

(*  This file was originally from the Prelude compiler              *)

(*                                                                  *) 

(********************************************************************)

(** Main typing module. Classic inference algorithm with destructive

    unification. *)

let debug fmt args = () (* Format.eprintf "%a"  *)

(* Though it shares similarities with the clock calculus module, no code

    is shared.  Simple environments, very limited identifier scoping, no

    identifier redefinition allowed. *)

open Utils

(* Yes, opening both modules is dirty as some type names will be

   overwritten, yet this makes notations far lighter.*)

open Lustre_types

open Corelang

open Format

module type EXPR_TYPE_HUB =

sig

  type type_expr 

  val import: Types.Main.type_expr -> type_expr

  val export: type_expr -> Types.Main.type_expr 

end

module Make (T: Types.S) (Expr_type_hub: EXPR_TYPE_HUB with type type_expr = T.type_expr) =  

  struct

    module TP = Type_predef.Make (T)

    include TP

    let pp_typing_env fmt env =

      Env.pp_env print_ty fmt env

    (****************************************************************)

    (* Generic functions: occurs, instantiate and generalize         *)

    (****************************************************************)

    (** [occurs tvar ty] returns true if the type variable [tvar]

       occurs in type [ty]. False otherwise. *)

    let rec occurs tvar ty =

      let ty = repr ty in

      match type_desc ty with

      | Tvar -> ty=tvar

      | Tarrow (t1, t2) ->

         (occurs tvar t1) || (occurs tvar t2)

      | Ttuple tl ->

         List.exists (occurs tvar) tl

      | Tstruct fl ->

         List.exists (fun (f, t) -> occurs tvar t) fl

      | Tarray (_, t)

        | Tstatic (_, t)

        | Tclock t

        | Tlink t -> occurs tvar t

      | Tenum _ | Tconst _ | Tunivar | Tbasic _ -> false

    (** Promote monomorphic type variables to polymorphic type

       variables. *)

    (* Generalize by side-effects *)

    let rec generalize ty =

      match type_desc ty with

      | Tvar ->

         (* No scopes, always generalize *)

         ty.tdesc <- Tunivar

      | Tarrow (t1,t2) ->

         generalize t1; generalize t2

      | Ttuple tl ->

         List.iter generalize tl

      | Tstruct fl ->

         List.iter (fun (f, t) -> generalize t) fl

      | Tstatic (d, t)

        | Tarray (d, t) -> Dimension.generalize d; generalize t

      | Tclock t

        | Tlink t ->

         generalize t

      | Tenum _ | Tconst _ | Tunivar | Tbasic _ -> ()

    (** Downgrade polymorphic type variables to monomorphic type

       variables *)

    let rec instantiate inst_vars inst_dim_vars ty =

      let ty = repr ty in

      match ty.tdesc with

      | Tenum _ | Tconst _ | Tvar | Tbasic _  -> ty

      | Tarrow (t1,t2) ->

         {ty with tdesc =

                    Tarrow ((instantiate inst_vars inst_dim_vars t1), (instantiate inst_vars inst_dim_vars t2))}

      | Ttuple tlist ->

         {ty with tdesc = Ttuple (List.map (instantiate inst_vars inst_dim_vars) tlist)}

      | Tstruct flist ->

         {ty with tdesc = Tstruct (List.map (fun (f, t) -> (f, instantiate inst_vars inst_dim_vars t)) flist)}

      | Tclock t ->

	 {ty with tdesc = Tclock (instantiate inst_vars inst_dim_vars t)}

      | Tstatic (d, t) ->

	 {ty with tdesc = Tstatic (Dimension.instantiate inst_dim_vars d, instantiate inst_vars inst_dim_vars t)}

      | Tarray (d, t) ->

	 {ty with tdesc = Tarray (Dimension.instantiate inst_dim_vars d, instantiate inst_vars inst_dim_vars t)}

      | Tlink t ->

	 (* should not happen *)

	 {ty with tdesc = Tlink (instantiate inst_vars inst_dim_vars t)}

      | Tunivar ->

         try

           List.assoc ty.tid !inst_vars

         with Not_found ->

           let var = new_var () in

	   inst_vars := (ty.tid, var)::!inst_vars;

	   var

    let basic_coretype_type t =

      if is_real_type t then Tydec_real else

        if is_int_type t then Tydec_int else

          if is_bool_type t then Tydec_bool else

	    assert false

    (* [type_coretype cty] types the type declaration [cty] *)

    let rec type_coretype type_dim cty =

      match (*get_repr_type*) cty with

      | Tydec_any -> new_var ()

      | Tydec_int -> type_int

      | Tydec_real -> (* Type_predef. *)type_real

      (* | Tydec_float -> Type_predef.type_real *)

      | Tydec_bool -> (* Type_predef. *)type_bool

      | Tydec_clock ty -> (* Type_predef. *)type_clock (type_coretype type_dim ty)

      | Tydec_const c -> (* Type_predef. *)type_const c

      | Tydec_enum tl -> (* Type_predef. *)type_enum tl

      | Tydec_struct fl -> (* Type_predef. *)type_struct (List.map (fun (f, ty) -> (f, type_coretype type_dim ty)) fl)

      | Tydec_array (d, ty) ->

         begin

           let d = Dimension.copy (ref []) d in

           type_dim d;

           (* Type_predef. *)type_array d (type_coretype type_dim ty)

         end

    (* [coretype_type] is the reciprocal of [type_typecore] *)

    let rec coretype_type ty =

      match (repr ty).tdesc with

      | Tvar           -> Tydec_any

      | Tbasic _       -> basic_coretype_type ty

      | Tconst c       -> Tydec_const c

      | Tclock t       -> Tydec_clock (coretype_type t)

      | Tenum tl       -> Tydec_enum tl

      | Tstruct fl     -> Tydec_struct (List.map (fun (f, t) -> (f, coretype_type t)) fl)

      | Tarray (d, t)  -> Tydec_array (d, coretype_type t)

      | Tstatic (_, t) -> coretype_type t

      | _         -> assert false

    let get_coretype_definition tname =

      try

        let top = Hashtbl.find type_table (Tydec_const tname) in

        match top.top_decl_desc with

        | TypeDef tdef -> tdef.tydef_desc

        | _ -> assert false

      with Not_found -> raise (Error (Location.dummy_loc, Unbound_type tname))

    let get_type_definition tname =

      type_coretype (fun d -> ()) (get_coretype_definition tname)

    (* Equality on ground types only *)

    (* Should be used between local variables which must have a ground type *)

    let rec eq_ground t1 t2 =

      let t1 = repr t1 in

      let t2 = repr t2 in

      t1==t2 ||

        match t1.tdesc, t2.tdesc with

        | Tbasic t1, Tbasic t2 when t1 == t2 -> true

        | Tenum tl, Tenum tl' when tl == tl' -> true

        | Ttuple tl, Ttuple tl' when List.length tl = List.length tl' -> List.for_all2 eq_ground tl tl'

        | Tstruct fl, Tstruct fl' when List.map fst fl = List.map fst fl' -> List.for_all2 (fun (_, t) (_, t') -> eq_ground t t') fl fl'

        | (Tconst t, _) ->

           let def_t = get_type_definition t in

           eq_ground def_t t2

        | (_, Tconst t)  ->

           let def_t = get_type_definition t in

           eq_ground t1 def_t

        | Tarrow (t1,t2), Tarrow (t1',t2') -> eq_ground t1 t1' && eq_ground t2 t2'

        | Tclock t1', Tclock t2' -> eq_ground t1' t2'

        | Tstatic (e1, t1'), Tstatic (e2, t2')

          | Tarray (e1, t1'), Tarray (e2, t2') -> Dimension.is_eq_dimension e1 e2 && eq_ground t1' t2'

        | _ -> false

    (** [unify t1 t2] unifies types [t1] and [t2]

    using standard destructive unification.

    Raises [Unify (t1,t2)] if the types are not unifiable.

    [t1] is a expected/formal/spec type, [t2] is a computed/real/implem type,

    so in case of unification error: expected type [t1], got type [t2].

    If [sub]-typing is allowed, [t2] may be a subtype of [t1].

    If [semi] unification is required,

    [t1] should furthermore be an instance of [t2]

    and constants are handled differently.*)

    let unify ?(sub=false) ?(semi=false) t1 t2 =

      let rec unif t1 t2 =

        let t1 = repr t1 in

        let t2 = repr t2 in

        if t1==t2 then

          ()

        else

          match t1.tdesc,t2.tdesc with

          (* strictly subtyping cases first *)

          | _ , Tclock t2 when sub && (get_clock_base_type t1 = None) ->

	     unif t1 t2

          | _ , Tstatic (d2, t2) when sub && (get_static_value t1 = None) ->

	     unif t1 t2

          (* This case is not mandatory but will keep "older" types *)

          | Tvar, Tvar ->

             if t1.tid < t2.tid then

               t2.tdesc <- Tlink t1

             else

               t1.tdesc <- Tlink t2

          | Tvar, _ when (not semi) && (not (occurs t1 t2)) ->

             t1.tdesc <- Tlink t2

          | _, Tvar when (not (occurs t2 t1)) ->

             t2.tdesc <- Tlink t1

          | Tarrow (t1,t2), Tarrow (t1',t2') ->

	     begin

               unif t2 t2';

	       unif t1' t1

	     end

          | Ttuple tl, Ttuple tl' when List.length tl = List.length tl' ->

	     List.iter2 unif tl tl'

          | Ttuple [t1]        , _                  -> unif t1 t2

          | _                  , Ttuple [t2]        -> unif t1 t2

          | Tstruct fl, Tstruct fl' when List.map fst fl = List.map fst fl' ->

	     List.iter2 (fun (_, t) (_, t') -> unif t t') fl fl'

          | Tclock _, Tstatic _

            | Tstatic _, Tclock _ -> raise (Unify (t1, t2))

          | Tclock t1', Tclock t2' -> unif t1' t2'

          | Tbasic t1, Tbasic t2 when t1 == t2 -> ()

          | Tunivar, _ | _, Tunivar -> ()

          | (Tconst t, _) ->

	     let def_t = get_type_definition t in

	     unif def_t t2

          | (_, Tconst t)  ->

	     let def_t = get_type_definition t in

	     unif t1 def_t

          | Tenum tl, Tenum tl' when tl == tl' -> ()

          | Tstatic (e1, t1'), Tstatic (e2, t2')

            | Tarray (e1, t1'), Tarray (e2, t2') ->

	     let eval_const =

	       if semi

	       then (fun c -> Some (Dimension.mkdim_ident Location.dummy_loc c))

	       else (fun c -> None) in

	     begin

	       unif t1' t2';

	       Dimension.eval Basic_library.eval_env eval_const e1;

	       Dimension.eval Basic_library.eval_env eval_const e2;

	       Dimension.unify ~semi:semi e1 e2;

	     end

          (* Special cases for machine_types. Rules to unify static types infered

      	 for numerical constants with non static ones for variables with

      	 possible machine types *)

          | Tbasic bt1, Tbasic bt2 when BasicT.is_unifiable bt1 bt2 -> BasicT.unify bt1 bt2

          | _,_ -> raise (Unify (t1, t2))

      in unif t1 t2

    (* Expected type ty1, got type ty2 *)

    let try_unify ?(sub=false) ?(semi=false) ty1 ty2 loc =

      try

        unify ~sub:sub ~semi:semi ty1 ty2

      with

      | Unify _ ->

         raise (Error (loc, Type_clash (ty1,ty2)))

      | Dimension.Unify _ ->

         raise (Error (loc, Type_clash (ty1,ty2)))

    (************************************************)

    (* Typing function for each basic AST construct *)

    (************************************************)

    let rec type_struct_const_field ?(is_annot=false) loc (label, c) =

      if Hashtbl.mem field_table label

      then let tydef = Hashtbl.find field_table label in

           let tydec = (typedef_of_top tydef).tydef_desc in 

           let tydec_struct = get_struct_type_fields tydec in

           let ty_label = type_coretype (fun d -> ()) (List.assoc label tydec_struct) in

           begin

	     try_unify ty_label (type_const ~is_annot loc c) loc;

	     type_coretype (fun d -> ()) tydec

           end

      else raise (Error (loc, Unbound_value ("struct field " ^ label)))

    and type_const ?(is_annot=false) loc c = 

      match c with

      | Const_int _     -> (* Type_predef. *)type_int

      | Const_real _    -> (* Type_predef. *)type_real

      | Const_array ca  -> let d = Dimension.mkdim_int loc (List.length ca) in

		           let ty = new_var () in

		           List.iter (fun e -> try_unify ty (type_const ~is_annot loc e) loc) ca;

		           (* Type_predef. *)type_array d ty

      | Const_tag t     ->

         if Hashtbl.mem tag_table t

         then 

           let tydef = typedef_of_top (Hashtbl.find tag_table t) in

           let tydec =

	     if is_user_type tydef.tydef_desc

	     then Tydec_const tydef.tydef_id

	     else tydef.tydef_desc in

           type_coretype (fun d -> ()) tydec

         else raise (Error (loc, Unbound_value ("enum tag " ^ t)))

      | Const_struct fl ->

         let ty_struct = new_var () in

         begin

           let used =

	     List.fold_left

	       (fun acc (l, c) ->

	         if List.mem l acc

	         then raise (Error (loc, Already_bound ("struct field " ^ l)))

	         else try_unify ty_struct (type_struct_const_field ~is_annot loc (l, c)) loc; l::acc)

	       [] fl in

           try

	     let total = List.map fst (get_struct_type_fields (coretype_type ty_struct)) in

             (*	List.iter (fun l -> Format.eprintf "total: %s@." l) total;

	List.iter (fun l -> Format.eprintf "used: %s@." l) used; *)

	     let undef = List.find (fun l -> not (List.mem l used)) total

	     in raise (Error (loc, Unbound_value ("struct field " ^ undef)))

           with Not_found -> 

	     ty_struct

         end

      | Const_string _ | Const_modeid _     -> 

         if is_annot then (* Type_predef. *)type_string else  assert false (* string datatype should only appear in annotations *)

    (* The following typing functions take as parameter an environment [env]

   and whether the element being typed is expected to be constant [const]. 

   [env] is a pair composed of:

  - a map from ident to type, associating to each ident, i.e. 

    variables, constants and (imported) nodes, its type including whether

    it is constant or not. This latter information helps in checking constant 

    propagation policy in Lustre.

  - a vdecl list, in order to modify types of declared variables that are

    later discovered to be clocks during the typing process.

     *)

    let check_constant loc const_expected const_real =

      if const_expected && not const_real

      then raise (Error (loc, Not_a_constant))

    let rec type_add_const env const arg targ =

      (*Format.eprintf "Typing.type_add_const %a %a@." Printers.pp_expr arg Types.print_ty targ;*)

      if const

      then let d =

	     if is_dimension_type targ

	     then dimension_of_expr arg

	     else Dimension.mkdim_var () in

           let eval_const id = (* Types. *)get_static_value (Env.lookup_value (fst env) id) in

           Dimension.eval Basic_library.eval_env eval_const d;

           let real_static_type = (* Type_predef. *)type_static d ((* Types. *)dynamic_type targ) in

           (match (* Types. *)get_static_value targ with

            | None    -> ()

            | Some d' -> try_unify targ real_static_type arg.expr_loc);

           real_static_type

      else targ

    (* emulates a subtyping relation between types t and (d : t),

   used during node applications and assignments *)

    and type_subtyping_arg env in_main ?(sub=true) const real_arg formal_type =

      let loc = real_arg.expr_loc in

      let const = const || ((* Types. *)get_static_value formal_type <> None) in

      let real_type = type_add_const env const real_arg (type_expr env in_main const real_arg) in

      (*Format.eprintf "subtyping const %B real %a:%a vs formal %a@." const Printers.pp_expr real_arg Types.print_ty real_type Types.print_ty formal_type;*)

      try_unify ~sub:sub formal_type real_type loc

    (* typing an application implies:

   - checking that const formal parameters match real const (maybe symbolic) arguments

   - checking type adequation between formal and real arguments

   An application may embed an homomorphic/internal function, in which case we need to split

   it in many calls

     *)

    and type_appl env in_main loc const f args =

      let targs = List.map (type_expr env in_main const) args in

      if Basic_library.is_homomorphic_fun f && List.exists is_tuple_type targs

      then

        try

          let targs = Utils.transpose_list (List.map type_list_of_type targs) in

          (* Types. *)type_of_type_list (List.map (type_simple_call env in_main loc const f) targs)

        with 

          Utils.TransposeError (l, l') -> raise (Error (loc, WrongMorphism (l, l')))

      else (

        type_dependent_call env in_main loc const f (List.combine args targs)

      )

    (* type a call with possible dependent types. [targs] is here a list of (argument, type) pairs. *)

    and type_dependent_call env in_main loc const f targs =

      (* Format.eprintf "Typing.type_dependent_call %s@." f; *)

      let tins, touts = new_var (), new_var () in

      (* Format.eprintf "tin=%a, tout=%a@." print_ty tins print_ty touts; *)

      let tfun = (* Type_predef. *)type_arrow tins touts in

      (* Format.eprintf "fun=%a@." print_ty tfun; *)

      type_subtyping_arg env in_main const (expr_of_ident f loc) tfun;

      (* Format.eprintf "type subtyping@."; *)

      let tins = type_list_of_type tins in

      if List.length targs <> List.length tins then

        raise (Error (loc, WrongArity (List.length tins, List.length targs)))

      else

        begin

          List.iter2 (

	      fun (a,t) ti ->

	      let t' = type_add_const env (const || (* Types. *)get_static_value ti <> None) a t in

	      (* Format.eprintf "uniying ti=%a t'=%a touts=%a@." print_ty ti print_ty t' print_ty touts;  *)

	      try_unify ~sub:true ti t' a.expr_loc;

	    (* Format.eprintf "unified ti=%a t'=%a touts=%a@." print_ty ti print_ty t' print_ty touts;  *)

            )

	    targs

	    tins;

          touts

        end

    (* type a simple call without dependent types 

   but possible homomorphic extension.

   [targs] is here a list of arguments' types. *)

    and type_simple_call env in_main loc const f targs =

      let tins, touts = new_var (), new_var () in

      let tfun = (* Type_predef. *)type_arrow tins touts in

      type_subtyping_arg env in_main const (expr_of_ident f loc) tfun;

      (*Format.eprintf "try unify %a %a@." Types.print_ty tins Types.print_ty (type_of_type_list targs);*)

      try_unify ~sub:true tins (type_of_type_list targs) loc;

      touts

    (** [type_expr env in_main expr] types expression [expr] in environment

    [env], expecting it to be [const] or not. *)

    and type_expr ?(is_annot=false) env in_main const expr =

      let resulting_ty = 

        match expr.expr_desc with

        | Expr_const c ->

           let ty = type_const ~is_annot expr.expr_loc c in

           let ty = (* Type_predef. *)type_static (Dimension.mkdim_var ()) ty in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_ident v ->

           let tyv =

             try

               Env.lookup_value (fst env) v

             with Not_found ->

	       Format.eprintf "Failure in typing expr %a. Not in typing environement@." Printers.pp_expr expr;

               raise (Error (expr.expr_loc, Unbound_value ("identifier " ^ v)))

           in

           let ty = instantiate (ref []) (ref []) tyv in

           let ty' =

             if const

             then (* Type_predef. *)type_static (Dimension.mkdim_var ()) (new_var ())

             else new_var () in

           try_unify ty ty' expr.expr_loc;

           expr.expr_type <- Expr_type_hub.export ty;

           ty 

        | Expr_array elist ->

           let ty_elt = new_var () in

           List.iter (fun e -> try_unify ty_elt (type_appl env in_main expr.expr_loc const "uminus" [e]) e.expr_loc) elist;

           let d = Dimension.mkdim_int expr.expr_loc (List.length elist) in

           let ty = (* Type_predef. *)type_array d ty_elt in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_access (e1, d) ->

           type_subtyping_arg env in_main false (* not necessary a constant *) (expr_of_dimension d) (* Type_predef. *)type_int;

           let ty_elt = new_var () in

           let d = Dimension.mkdim_var () in

           type_subtyping_arg env in_main const e1 ((* Type_predef. *)type_array d ty_elt);

           expr.expr_type <- Expr_type_hub.export ty_elt;

           ty_elt

        | Expr_power (e1, d) ->

           let eval_const id = (* Types. *)get_static_value (Env.lookup_value (fst env) id) in

           type_subtyping_arg env in_main true (expr_of_dimension d) (* Type_predef. *)type_int;

           Dimension.eval Basic_library.eval_env eval_const d;

           let ty_elt = type_appl env in_main expr.expr_loc const "uminus" [e1] in

           let ty = (* Type_predef. *)type_array d ty_elt in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_tuple elist ->

           let ty = new_ty (Ttuple (List.map (type_expr ~is_annot env in_main const) elist)) in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_ite (c, t, e) ->

           type_subtyping_arg env in_main const c (* Type_predef. *)type_bool;

           let ty = type_appl env in_main expr.expr_loc const "+" [t; e] in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_appl (id, args, r) ->

           (* application of non internal function is not legal in a constant

       expression *)

           (match r with

            | None        -> ()

            | Some c -> 

               check_constant expr.expr_loc const false;	

               type_subtyping_arg env in_main const c (* Type_predef. *)type_bool);

           let args_list = expr_list_of_expr args in

           let touts = type_appl env in_main expr.expr_loc const id args_list in

           let targs = new_ty (Ttuple (List.map (fun a -> Expr_type_hub.import a.expr_type) args_list)) in

           args.expr_type <- Expr_type_hub.export targs;

           expr.expr_type <- Expr_type_hub.export touts;

           touts

        | Expr_fby (e1,e2)

          | Expr_arrow (e1,e2) ->

           (* fby/arrow is not legal in a constant expression *)

           check_constant expr.expr_loc const false;

           let ty = type_appl env in_main expr.expr_loc const "+" [e1; e2] in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_pre e ->

           (* pre is not legal in a constant expression *)

           check_constant expr.expr_loc const false;

           let ty = type_appl env in_main expr.expr_loc const "uminus" [e] in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_when (e1,c,l) ->

           (* when is not legal in a constant expression *)

           check_constant expr.expr_loc const false;

           let typ_l = (* Type_predef. *)type_clock (type_const ~is_annot expr.expr_loc (Const_tag l)) in

           let expr_c = expr_of_ident c expr.expr_loc in

           type_subtyping_arg env in_main ~sub:false const expr_c typ_l;

           let ty = type_appl env in_main expr.expr_loc const "uminus" [e1] in

           expr.expr_type <- Expr_type_hub.export ty;

           ty

        | Expr_merge (c,hl) ->

           (* merge is not legal in a constant expression *)

           check_constant expr.expr_loc const false;

           let typ_in, typ_out = type_branches env in_main expr.expr_loc const hl in

           let expr_c = expr_of_ident c expr.expr_loc in

           let typ_l = (* Type_predef. *)type_clock typ_in in

           type_subtyping_arg env in_main ~sub:false const expr_c typ_l;

           expr.expr_type <- Expr_type_hub.export typ_out;

           typ_out

      in 

      Log.report ~level:3 (fun fmt -> Format.fprintf fmt "Type of expr %a: %a@." Printers.pp_expr expr (* Types. *)print_ty resulting_ty);

      resulting_ty

    and type_branches ?(is_annot=false) env in_main loc const hl =

      let typ_in = new_var () in

      let typ_out = new_var () in

      try

        let used_labels =

          List.fold_left (fun accu (t, h) ->

	      unify typ_in (type_const ~is_annot loc (Const_tag t));

	      type_subtyping_arg env in_main const h typ_out;

	      if List.mem t accu

	      then raise (Error (loc, Already_bound t))

	      else t :: accu) [] hl in

        let type_labels = get_enum_type_tags (coretype_type typ_in) in

        if List.sort compare used_labels <> List.sort compare type_labels

        then let unbound_tag = List.find (fun t -> not (List.mem t used_labels)) type_labels in

	     raise (Error (loc, Unbound_value ("branching tag " ^ unbound_tag)))

        else (typ_in, typ_out)

      with Unify (t1, t2) ->

        raise (Error (loc, Type_clash (t1,t2)))

    (* Eexpr are always in annotations. TODO: add the quantifiers variables to the env *)

    let type_eexpr env eexpr = 

      (type_expr

         ~is_annot:true

         env

         false (* not in main *)

         false (* not a const *)

         eexpr.eexpr_qfexpr)

    (** [type_eq env eq] types equation [eq] in environment [env] *)

    let type_eq env in_main undefined_vars eq =

      (*Format.eprintf "Typing.type_eq %a@." Printers.pp_node_eq eq;*)

      (* Check undefined variables, type lhs *)

      let expr_lhs = expr_of_expr_list eq.eq_loc (List.map (fun v -> expr_of_ident v eq.eq_loc) eq.eq_lhs) in

      let ty_lhs = type_expr env in_main false expr_lhs in

      (* Check multiple variable definitions *)

      let define_var id uvars =

        if ISet.mem id uvars

        then ISet.remove id uvars

        else raise (Error (eq.eq_loc, Already_defined id))

      in

      (* check assignment of declared constant, assignment of clock *)

      let ty_lhs =

        type_of_type_list

          (List.map2 (fun ty id ->

	       if get_static_value ty <> None

	       then raise (Error (eq.eq_loc, Assigned_constant id)) else

	         match get_clock_base_type ty with

	         | None -> ty

	         | Some ty -> ty)

	     (type_list_of_type ty_lhs) eq.eq_lhs) in

      let undefined_vars =

        List.fold_left (fun uvars v -> define_var v uvars) undefined_vars eq.eq_lhs in

      (* Type rhs wrt to lhs type with subtyping, i.e. a constant rhs value may be assigned

     to a (always non-constant) lhs variable *)

      type_subtyping_arg env in_main false eq.eq_rhs ty_lhs;

      undefined_vars

    (* [type_coreclock env ck id loc] types the type clock declaration [ck]

   in environment [env] *)

    let type_coreclock env ck id loc =

      match ck.ck_dec_desc with

      | Ckdec_any -> ()

      | Ckdec_bool cl ->

         let dummy_id_expr = expr_of_ident id loc in

         let when_expr =

           List.fold_left

             (fun expr (x, l) ->

               {expr_tag = new_tag ();

                expr_desc= Expr_when (expr,x,l);

                expr_type = Types.Main.new_var ();

                expr_clock = Clocks.new_var true;

                expr_delay = Delay.new_var ();

                expr_loc=loc;

		expr_annot = None})

             dummy_id_expr cl

         in

         ignore (type_expr env false false when_expr)

    let rec check_type_declaration loc cty =

      match cty with

      | Tydec_clock ty

        | Tydec_array (_, ty) -> check_type_declaration loc ty

      | Tydec_const tname   ->

         (* Format.eprintf "TABLE: %a@." print_type_table (); *)

         if not (Hashtbl.mem type_table cty)

         then raise (Error (loc, Unbound_type tname));

      | _                   -> ()

    let type_var_decl vd_env env vdecl =

      (*Format.eprintf "Typing.type_var_decl START %a:%a@." Printers.pp_var vdecl Printers.print_dec_ty vdecl.var_dec_type.ty_dec_desc;*)

      check_type_declaration vdecl.var_loc vdecl.var_dec_type.ty_dec_desc;

      let eval_const id = (* Types. *)get_static_value (Env.lookup_value env id) in

      let type_dim d =

        begin

          type_subtyping_arg (env, vd_env) false true (expr_of_dimension d) (* Type_predef. *)type_int;

          Dimension.eval Basic_library.eval_env eval_const d;

        end in

      let ty = type_coretype type_dim vdecl.var_dec_type.ty_dec_desc in

      let ty_static =

        if vdecl.var_dec_const

        then (* Type_predef. *)type_static (Dimension.mkdim_var ()) ty

        else ty in

      (match vdecl.var_dec_value with

       | None   -> ()

       | Some v -> type_subtyping_arg (env, vd_env) false ~sub:false true v ty_static);

      try_unify ty_static (Expr_type_hub.import vdecl.var_type) vdecl.var_loc;

      let new_env = Env.add_value env vdecl.var_id ty_static in

      type_coreclock (new_env,vd_env) vdecl.var_dec_clock vdecl.var_id vdecl.var_loc;

      (*Format.eprintf "END %a@." Types.print_ty ty_static;*)

      new_env

    let type_var_decl_list vd_env env l =

      List.fold_left (type_var_decl vd_env) env l

    let type_of_vlist vars =

      let tyl = List.map (fun v -> Expr_type_hub.import v.var_type) vars in

      type_of_type_list tyl

    let add_vdecl vd_env vdecl =

      if List.exists (fun v -> v.var_id = vdecl.var_id) vd_env

      then raise (Error (vdecl.var_loc, Already_bound vdecl.var_id))

      else vdecl::vd_env

    let check_vd_env vd_env =

      ignore (List.fold_left add_vdecl [] vd_env)

    let type_spec env c =

      (*TODO 

        enrich env locally with locals and consts

        type each pre/post as a boolean expr

        I don't know if we want to update the global env with locally typed variables. 

        For the moment, returning the provided env           

       *)

      env

    (** [type_node env nd loc] types node [nd] in environment env. The

    location is used for error reports. *)

    let type_node env nd loc =

      let is_main = nd.node_id = !Options.main_node in

      let vd_env_ol = nd.node_outputs@nd.node_locals in

      let vd_env =  nd.node_inputs@vd_env_ol in

      check_vd_env vd_env;

      let init_env = env in

      let delta_env = type_var_decl_list vd_env init_env nd.node_inputs in

      let delta_env = type_var_decl_list vd_env delta_env nd.node_outputs in

      let delta_env = type_var_decl_list vd_env delta_env nd.node_locals in

      let new_env = Env.overwrite env delta_env in

      let undefined_vars_init =

        List.fold_left

          (fun uvs v -> ISet.add v.var_id uvs)

          ISet.empty vd_env_ol in

      let undefined_vars =

        let eqs, auts = get_node_eqs nd in

        (* TODO XXX: il faut typer les handlers de l'automate *)

        List.fold_left (type_eq (new_env, vd_env) is_main) undefined_vars_init eqs

      in

      (* Typing asserts *)

      List.iter (fun assert_ ->

          let assert_expr =  assert_.assert_expr in

          type_subtyping_arg (new_env, vd_env) is_main false assert_expr (* Type_predef. *)type_bool

        )  nd.node_asserts;

      (* Typing spec/contracts *)

      (match nd.node_spec with None -> () | Some spec -> ignore (type_spec (new_env, vd_env) spec));

      (* Typing annots *)

      List.iter (fun annot ->

          List.iter (fun (_, eexpr) -> ignore (type_eexpr (new_env, vd_env) eexpr)) annot.annots