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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  LIFL *) 
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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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(* This file was originally from the Prelude compiler *) 
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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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let debug fmt args = () (* Format.eprintf "%a" *) 
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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 LustreSpec 
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open Corelang 
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open Types 
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open Format 
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let pp_typing_env fmt env = 
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Env.pp_env print_ty fmt env 
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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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 Tvar > ty=tvar 
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 Tarrow (t1, t2) > 
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(occurs tvar t1)  (occurs tvar t2) 
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 Ttuple tl > 
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List.exists (occurs tvar) tl 
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 Tstruct fl > 
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List.exists (fun (f, t) > occurs tvar t) fl 
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 Tarray (_, t) 
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 Tstatic (_, t) 
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 Tclock t 
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 Tlink t > occurs tvar t 
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 Tenum _  Tconst _  Tunivar  Tint  Treal  Tbool  Trat > false 
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(** Promote monomorphic type variables to polymorphic type variables. *) 
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(* Generalize by sideeffects *) 
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let rec generalize ty = 
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match ty.tdesc with 
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 Tvar > 
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(* No scopes, always generalize *) 
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ty.tdesc < Tunivar 
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 Tarrow (t1,t2) > 
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generalize t1; generalize t2 
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 Ttuple tl > 
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List.iter generalize tl 
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 Tstruct fl > 
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List.iter (fun (f, t) > generalize t) fl 
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 Tstatic (d, t) 
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 Tarray (d, t) > Dimension.generalize d; generalize t 
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 Tclock t 
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 Tlink t > 
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generalize t 
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 Tenum _  Tconst _  Tunivar  Tint  Treal  Tbool  Trat > () 
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(** Downgrade polymorphic type variables to monomorphic type variables *) 
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let rec instantiate inst_vars inst_dim_vars ty = 
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let ty = repr ty in 
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match ty.tdesc with 
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 Tenum _  Tconst _  Tvar  Tint  Treal  Tbool  Trat > ty 
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 Tarrow (t1,t2) > 
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{ty with tdesc = 
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Tarrow ((instantiate inst_vars inst_dim_vars t1), (instantiate inst_vars inst_dim_vars t2))} 
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 Ttuple tlist > 
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{ty with tdesc = Ttuple (List.map (instantiate inst_vars inst_dim_vars) tlist)} 
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 Tstruct flist > 
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{ty with tdesc = Tstruct (List.map (fun (f, t) > (f, instantiate inst_vars inst_dim_vars t)) flist)} 
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 Tclock t > 
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{ty with tdesc = Tclock (instantiate inst_vars inst_dim_vars t)} 
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 Tstatic (d, t) > 
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{ty with tdesc = Tstatic (Dimension.instantiate inst_dim_vars d, instantiate inst_vars inst_dim_vars t)} 
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 Tarray (d, t) > 
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{ty with tdesc = Tarray (Dimension.instantiate inst_dim_vars d, instantiate inst_vars inst_dim_vars t)} 
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 Tlink t > 
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(* should not happen *) 
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{ty with tdesc = Tlink (instantiate inst_vars inst_dim_vars t)} 
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 Tunivar > 
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try 
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List.assoc ty.tid !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.tid, var)::!inst_vars; 
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var 
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(* [type_coretype cty] types the type declaration [cty] *) 
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let rec type_coretype type_dim cty = 
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match (*get_repr_type*) 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 ty > Type_predef.type_clock (type_coretype type_dim ty) 
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 Tydec_const c > Type_predef.type_const c 
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 Tydec_enum tl > Type_predef.type_enum tl 
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 Tydec_struct fl > Type_predef.type_struct (List.map (fun (f, ty) > (f, type_coretype type_dim ty)) fl) 
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 Tydec_array (d, ty) > 
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begin 
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let d = Dimension.copy (ref []) d in 
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type_dim d; 
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Type_predef.type_array d (type_coretype type_dim ty) 
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end 
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(* [coretype_type] is the reciprocal of [type_typecore] *) 
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let rec coretype_type ty = 
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match (repr ty).tdesc with 
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 Tvar > Tydec_any 
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 Tint > Tydec_int 
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 Treal > Tydec_real 
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 Tbool > Tydec_bool 
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 Tconst c > Tydec_const c 
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 Tclock t > Tydec_clock (coretype_type t) 
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 Tenum tl > Tydec_enum tl 
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 Tstruct fl > Tydec_struct (List.map (fun (f, t) > (f, coretype_type t)) fl) 
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 Tarray (d, t) > Tydec_array (d, coretype_type t) 
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 Tstatic (_, t) > coretype_type t 
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 _ > assert false 
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let get_coretype_definition tname = 
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try 
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let top = Hashtbl.find type_table (Tydec_const tname) in 
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match top.top_decl_desc with 
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 TypeDef tdef > tdef.tydef_desc 
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 _ > assert false 
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with Not_found > raise (Error (Location.dummy_loc, Unbound_type tname)) 
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let get_type_definition tname = 
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type_coretype (fun d > ()) (get_coretype_definition tname) 
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(* Equality on ground types only *) 
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(* Should be used between local variables which must have a ground type *) 
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let rec eq_ground t1 t2 = 
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let t1 = repr t1 in 
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let t2 = repr t2 in 
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t1==t2  
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match t1.tdesc, t2.tdesc with 
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 Tint, Tint  Tbool, Tbool  Trat, Trat  Treal, Treal > true 
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 Tenum tl, Tenum tl' when tl == tl' > true 
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 Ttuple tl, Ttuple tl' when List.length tl = List.length tl' > List.for_all2 eq_ground tl tl' 
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 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' 
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 (Tconst t, _) > 
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let def_t = get_type_definition t in 
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eq_ground def_t t2 
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 (_, Tconst t) > 
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let def_t = get_type_definition t in 
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eq_ground t1 def_t 
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 Tarrow (t1,t2), Tarrow (t1',t2') > eq_ground t1 t1' && eq_ground t2 t2' 
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 Tclock t1', Tclock t2' > eq_ground t1' t2' 
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 Tstatic (e1, t1'), Tstatic (e2, t2') 
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 Tarray (e1, t1'), Tarray (e2, t2') > Dimension.is_eq_dimension e1 e2 && eq_ground t1' t2' 
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 _ > false 
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(** [unify t1 t2] unifies types [t1] and [t2] 
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using standard destructive unification. 
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Raises [Unify (t1,t2)] if the types are not unifiable. 
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[t1] is a expected/formal/spec type, [t2] is a computed/real/implem type, 
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so in case of unification error: expected type [t1], got type [t2]. 
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If [sub]typing is allowed, [t2] may be a subtype of [t1]. 
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If [semi] unification is required, 
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[t1] should furthermore be an instance of [t2] 
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and constants are handled differently.*) 
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let unify ?(sub=false) ?(semi=false) t1 t2 = 
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let rec unif 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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match t1.tdesc,t2.tdesc with 
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(* strictly subtyping cases first *) 
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 _ , Tclock t2 when sub && (get_clock_base_type t1 = None) > 
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unif t1 t2 
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 _ , Tstatic (d2, t2) when sub && (get_static_value t1 = None) > 
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unif t1 t2 
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(* This case is not mandatory but will keep "older" types *) 
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 Tvar, Tvar > 
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if t1.tid < t2.tid then 
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t2.tdesc < Tlink t1 
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else 
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t1.tdesc < Tlink t2 
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 Tvar, _ when (not semi) && (not (occurs t1 t2)) > 
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t1.tdesc < Tlink t2 
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 _, Tvar when (not (occurs t2 t1)) > 
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t2.tdesc < Tlink t1 
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 Tarrow (t1,t2), Tarrow (t1',t2') > 
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begin 
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unif t2 t2'; 
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unif t1' t1 
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end 
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 Ttuple tl, Ttuple tl' when List.length tl = List.length tl' > 
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List.iter2 unif tl tl' 
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 Ttuple [t1] , _ > unif t1 t2 
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 _ , Ttuple [t2] > unif t1 t2 
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 Tstruct fl, Tstruct fl' when List.map fst fl = List.map fst fl' > 
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List.iter2 (fun (_, t) (_, t') > unif t t') fl fl' 
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 Tclock _, Tstatic _ 
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 Tstatic _, Tclock _ > raise (Unify (t1, t2)) 
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 Tclock t1', Tclock t2' > unif t1' t2' 
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 Tint, Tint  Tbool, Tbool  Trat, Trat  Treal, Treal 
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 Tunivar, _  _, Tunivar > () 
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 (Tconst t, _) > 
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let def_t = get_type_definition t in 
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unif def_t t2 
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 (_, Tconst t) > 
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let def_t = get_type_definition t in 
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unif t1 def_t 
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 Tenum tl, Tenum tl' when tl == tl' > () 
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 Tstatic (e1, t1'), Tstatic (e2, t2') 
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 Tarray (e1, t1'), Tarray (e2, t2') > 
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let eval_const = 
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if semi 
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then (fun c > Some (Dimension.mkdim_ident Location.dummy_loc c)) 
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else (fun c > None) in 
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begin 
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unif t1' t2'; 
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Dimension.eval Basic_library.eval_env eval_const e1; 
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Dimension.eval Basic_library.eval_env eval_const e2; 
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Dimension.unify ~semi:semi e1 e2; 
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end 
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 _,_ > raise (Unify (t1, t2)) 
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in unif t1 t2 
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(* Expected type ty1, got type ty2 *) 
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let try_unify ?(sub=false) ?(semi=false) ty1 ty2 loc = 
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try 
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unify ~sub:sub ~semi:semi ty1 ty2 
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with 
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 Unify _ > 
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raise (Error (loc, Type_clash (ty1,ty2))) 
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 Dimension.Unify _ > 
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raise (Error (loc, Type_clash (ty1,ty2))) 
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let rec type_struct_const_field loc (label, c) = 
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if Hashtbl.mem field_table label 
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then let tydef = Hashtbl.find field_table label in 
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let tydec = (typedef_of_top tydef).tydef_desc in 
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let tydec_struct = get_struct_type_fields tydec in 
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let ty_label = type_coretype (fun d > ()) (List.assoc label tydec_struct) in 
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begin 
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try_unify ty_label (type_const loc c) loc; 
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type_coretype (fun d > ()) tydec 
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end 
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else raise (Error (loc, Unbound_value ("struct field " ^ label))) 
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and type_const loc c = 
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match c with 
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 Const_int _ > Type_predef.type_int 
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 Const_real _ > Type_predef.type_real 
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 Const_float _ > Type_predef.type_real 
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 Const_array ca > let d = Dimension.mkdim_int loc (List.length ca) in 
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let ty = new_var () in 
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List.iter (fun e > try_unify ty (type_const loc e) loc) ca; 
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Type_predef.type_array d ty 
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 Const_tag t > 
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if Hashtbl.mem tag_table t 
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then 
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let tydef = typedef_of_top (Hashtbl.find tag_table t) in 
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let tydec = 
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if is_user_type tydef.tydef_desc 
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then Tydec_const tydef.tydef_id 
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else tydef.tydef_desc in 
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type_coretype (fun d > ()) tydec 
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else raise (Error (loc, Unbound_value ("enum tag " ^ t))) 
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 Const_struct fl > 
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let ty_struct = new_var () in 
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begin 
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let used = 
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List.fold_left 
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(fun acc (l, c) > 
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if List.mem l acc 
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then raise (Error (loc, Already_bound ("struct field " ^ l))) 
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else try_unify ty_struct (type_struct_const_field loc (l, c)) loc; l::acc) 
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[] fl in 
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try 
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let total = List.map fst (get_struct_type_fields (coretype_type ty_struct)) in 
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(* List.iter (fun l > Format.eprintf "total: %s@." l) total; 
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List.iter (fun l > Format.eprintf "used: %s@." l) used; *) 
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let undef = List.find (fun l > not (List.mem l used)) total 
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in raise (Error (loc, Unbound_value ("struct field " ^ undef))) 
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with Not_found > 
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ty_struct 
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end 
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 Const_string _ > assert false (* string should only appear in annotations *) 
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(* The following typing functions take as parameter an environment [env] 
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and whether the element being typed is expected to be constant [const]. 
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[env] is a pair composed of: 
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 a map from ident to type, associating to each ident, i.e. 
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variables, constants and (imported) nodes, its type including whether 
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it is constant or not. This latter information helps in checking constant 
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propagation policy in Lustre. 
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 a vdecl list, in order to modify types of declared variables that are 
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later discovered to be clocks during the typing process. 
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*) 
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let check_constant loc const_expected const_real = 
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if const_expected && not const_real 
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then raise (Error (loc, Not_a_constant)) 
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let rec type_add_const env const arg targ = 
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(*Format.eprintf "Typing.type_add_const %a %a@." Printers.pp_expr arg Types.print_ty targ;*) 
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if const 
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then let d = 
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if is_dimension_type targ 
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then dimension_of_expr arg 
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else Dimension.mkdim_var () in 
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let eval_const id = Types.get_static_value (Env.lookup_value (fst env) id) in 
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Dimension.eval Basic_library.eval_env eval_const d; 
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let real_static_type = Type_predef.type_static d (Types.dynamic_type targ) in 
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(match Types.get_static_value targ with 
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 None > () 
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 Some d' > try_unify targ real_static_type arg.expr_loc); 
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real_static_type 
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else targ 
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(* emulates a subtyping relation between types t and (d : t), 
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used during node applications and assignments *) 
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and type_subtyping_arg env in_main ?(sub=true) const real_arg formal_type = 
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let loc = real_arg.expr_loc in 
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let const = const  (Types.get_static_value formal_type <> None) in 
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let real_type = type_add_const env const real_arg (type_expr env in_main const real_arg) in 
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(*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;*) 
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try_unify ~sub:sub formal_type real_type loc 
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and type_ident env in_main loc const id = 
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type_expr env in_main const (expr_of_ident id loc) 
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(* typing an application implies: 
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 checking that const formal parameters match real const (maybe symbolic) arguments 
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 checking type adequation between formal and real arguments 
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An application may embed an homomorphic/internal function, in which case we need to split 
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it in many calls 
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*) 
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and type_appl env in_main loc const f args = 
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let targs = List.map (type_expr env in_main const) args in 
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if Basic_library.is_internal_fun f && List.exists is_tuple_type targs 
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then 
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try 
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let targs = Utils.transpose_list (List.map type_list_of_type targs) in 
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Types.type_of_type_list (List.map (type_simple_call env in_main loc const f) targs) 
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with 
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Utils.TransposeError (l, l') > raise (Error (loc, WrongMorphism (l, l'))) 
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else 
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type_dependent_call env in_main loc const f (List.combine args targs) 
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(* type a call with possible dependent types. [targs] is here a list of (argument, type) pairs. *) 
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and type_dependent_call env in_main loc const f targs = 
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(*Format.eprintf "Typing.type_dependent_call %s@." f;*) 
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let tins, touts = new_var (), new_var () in 
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let tfun = Type_predef.type_arrow tins touts in 
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type_subtyping_arg env in_main const (expr_of_ident f loc) tfun; 
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let tins = type_list_of_type tins in 
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if List.length targs <> List.length tins then 
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raise (Error (loc, WrongArity (List.length tins, List.length targs))) 
369 
else 
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begin 
371 
List.iter2 (fun (a,t) ti > 
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let t' = type_add_const env (const  Types.get_static_value ti <> None) a t 
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in try_unify ~sub:true ti t' a.expr_loc; 
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) targs tins; 
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(*Format.eprintf "Typing.type_dependent_call END@.";*) 
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touts; 
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end 
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(* type a simple call without dependent types 
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but possible homomorphic extension. 
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[targs] is here a list of arguments' types. *) 
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and type_simple_call env in_main loc const f targs = 
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let tins, touts = new_var (), new_var () in 
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let tfun = Type_predef.type_arrow tins touts in 
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type_subtyping_arg env in_main const (expr_of_ident f loc) tfun; 
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(*Format.eprintf "try unify %a %a@." Types.print_ty tins Types.print_ty (type_of_type_list targs);*) 
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try_unify ~sub:true tins (type_of_type_list targs) loc; 
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touts 
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(** [type_expr env in_main expr] types expression [expr] in environment 
391 
[env], expecting it to be [const] or not. *) 
392 
and type_expr env in_main const expr = 
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let resulting_ty = 
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match expr.expr_desc with 
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 Expr_const c > 
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let ty = type_const expr.expr_loc c in 
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let ty = Type_predef.type_static (Dimension.mkdim_var ()) ty in 
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expr.expr_type < ty; 
399 
ty 
400 
 Expr_ident v > 
401 
let tyv = 
402 
try 
403 
Env.lookup_value (fst env) v 
404 
with Not_found > 
405 
Format.eprintf "Failure in typing expr %a@." Printers.pp_expr expr; 
406 
raise (Error (expr.expr_loc, Unbound_value ("identifier " ^ v))) 
407 
in 
408 
let ty = instantiate (ref []) (ref []) tyv in 
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let ty' = 
410 
if const 
411 
then Type_predef.type_static (Dimension.mkdim_var ()) (new_var ()) 
412 
else new_var () in 
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try_unify ty ty' expr.expr_loc; 
414 
expr.expr_type < ty; 
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ty 
416 
 Expr_array elist > 
417 
let ty_elt = new_var () in 
418 
List.iter (fun e > try_unify ty_elt (type_appl env in_main expr.expr_loc const "uminus" [e]) e.expr_loc) elist; 
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let d = Dimension.mkdim_int expr.expr_loc (List.length elist) in 
420 
let ty = Type_predef.type_array d ty_elt in 
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expr.expr_type < ty; 
422 
ty 
423 
 Expr_access (e1, d) > 
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type_subtyping_arg env in_main true (expr_of_dimension d) Type_predef.type_int; 
425 
let ty_elt = new_var () in 
426 
let d = Dimension.mkdim_var () in 
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type_subtyping_arg env in_main const e1 (Type_predef.type_array d ty_elt); 
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expr.expr_type < ty_elt; 
429 
ty_elt 
430 
 Expr_power (e1, d) > 
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let eval_const id = Types.get_static_value (Env.lookup_value (fst env) id) in 
432 
type_subtyping_arg env in_main true (expr_of_dimension d) Type_predef.type_int; 
433 
Dimension.eval Basic_library.eval_env eval_const d; 
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let ty_elt = type_appl env in_main expr.expr_loc const "uminus" [e1] in 
435 
let ty = Type_predef.type_array d ty_elt in 
436 
expr.expr_type < ty; 
437 
ty 
438 
 Expr_tuple elist > 
439 
let ty = new_ty (Ttuple (List.map (type_expr env in_main const) elist)) in 
440 
expr.expr_type < ty; 
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ty 
442 
 Expr_ite (c, t, e) > 
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type_subtyping_arg env in_main const c Type_predef.type_bool; 
444 
let ty = type_appl env in_main expr.expr_loc const "+" [t; e] in 
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expr.expr_type < ty; 
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ty 
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 Expr_appl (id, args, r) > 
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(* application of non internal function is not legal in a constant 
449 
expression *) 
450 
(match r with 
451 
 None > () 
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 Some c > 
453 
check_constant expr.expr_loc const false; 
454 
type_subtyping_arg env in_main const c Type_predef.type_bool); 
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let touts = type_appl env in_main expr.expr_loc const id (expr_list_of_expr args) in 
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expr.expr_type < touts; 
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touts 
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 Expr_fby (e1,e2) 
459 
 Expr_arrow (e1,e2) > 
460 
(* fby/arrow is not legal in a constant expression *) 
461 
check_constant expr.expr_loc const false; 
462 
let ty = type_appl env in_main expr.expr_loc const "+" [e1; e2] in 
463 
expr.expr_type < ty; 
464 
ty 
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 Expr_pre e > 
466 
(* pre is not legal in a constant expression *) 
467 
check_constant expr.expr_loc const false; 
468 
let ty = type_appl env in_main expr.expr_loc const "uminus" [e] in 
469 
expr.expr_type < ty; 
470 
ty 
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 Expr_when (e1,c,l) > 
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(* when is not legal in a constant expression *) 
473 
check_constant expr.expr_loc const false; 
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let typ_l = Type_predef.type_clock (type_const expr.expr_loc (Const_tag l)) in 
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let expr_c = expr_of_ident c expr.expr_loc in 
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type_subtyping_arg env in_main ~sub:false const expr_c typ_l; 
477 
let ty = type_appl env in_main expr.expr_loc const "uminus" [e1] in 
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expr.expr_type < ty; 
479 
ty 
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 Expr_merge (c,hl) > 
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(* merge is not legal in a constant expression *) 
482 
check_constant expr.expr_loc const false; 
483 
let typ_in, typ_out = type_branches env in_main expr.expr_loc const hl in 
484 
let expr_c = expr_of_ident c expr.expr_loc in 
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let typ_l = Type_predef.type_clock typ_in in 
486 
type_subtyping_arg env in_main ~sub:false const expr_c typ_l; 
487 
expr.expr_type < typ_out; 
488 
typ_out 
489 
in 
490 
Log.report ~level:3 (fun fmt > Format.fprintf fmt "Type of expr %a: %a@." Printers.pp_expr expr Types.print_ty resulting_ty); 
491 
resulting_ty 
492  
493 
and type_branches env in_main loc const hl = 
494 
let typ_in = new_var () in 
495 
let typ_out = new_var () in 
496 
try 
497 
let used_labels = 
498 
List.fold_left (fun accu (t, h) > 
499 
unify typ_in (type_const loc (Const_tag t)); 
500 
type_subtyping_arg env in_main const h typ_out; 
501 
if List.mem t accu 
502 
then raise (Error (loc, Already_bound t)) 
503 
else t :: accu) [] hl in 
504 
let type_labels = get_enum_type_tags (coretype_type typ_in) in 
505 
if List.sort compare used_labels <> List.sort compare type_labels 
506 
then let unbound_tag = List.find (fun t > not (List.mem t used_labels)) type_labels in 
507 
raise (Error (loc, Unbound_value ("branching tag " ^ unbound_tag))) 
508 
else (typ_in, typ_out) 
509 
with Unify (t1, t2) > 
510 
raise (Error (loc, Type_clash (t1,t2))) 
511  
512 
(** [type_eq env eq] types equation [eq] in environment [env] *) 
513 
let type_eq env in_main undefined_vars eq = 
514 
(*Format.eprintf "Typing.type_eq %a@." Printers.pp_node_eq eq;*) 
515 
(* Check undefined variables, type lhs *) 
516 
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 
517 
let ty_lhs = type_expr env in_main false expr_lhs in 
518 
(* Check multiple variable definitions *) 
519 
let define_var id uvars = 
520 
if ISet.mem id uvars 
521 
then ISet.remove id uvars 
522 
else raise (Error (eq.eq_loc, Already_defined id)) 
523 
in 
524 
(* check assignment of declared constant, assignment of clock *) 
525 
let ty_lhs = 
526 
type_of_type_list 
527 
(List.map2 (fun ty id > 
528 
if get_static_value ty <> None 
529 
then raise (Error (eq.eq_loc, Assigned_constant id)) else 
530 
match get_clock_base_type ty with 
531 
 None > ty 
532 
 Some ty > ty) 
533 
(type_list_of_type ty_lhs) eq.eq_lhs) in 
534 
let undefined_vars = 
535 
List.fold_left (fun uvars v > define_var v uvars) undefined_vars eq.eq_lhs in 
536 
(* Type rhs wrt to lhs type with subtyping, i.e. a constant rhs value may be assigned 
537 
to a (always nonconstant) lhs variable *) 
538 
type_subtyping_arg env in_main false eq.eq_rhs ty_lhs; 
539 
undefined_vars 
540  
541  
542 
(* [type_coreclock env ck id loc] types the type clock declaration [ck] 
543 
in environment [env] *) 
544 
let type_coreclock env ck id loc = 
545 
match ck.ck_dec_desc with 
546 
 Ckdec_any  Ckdec_pclock (_,_) > () 
547 
 Ckdec_bool cl > 
548 
let dummy_id_expr = expr_of_ident id loc in 
549 
let when_expr = 
550 
List.fold_left 
551 
(fun expr (x, l) > 
552 
{expr_tag = new_tag (); 
553 
expr_desc= Expr_when (expr,x,l); 
554 
expr_type = new_var (); 
555 
expr_clock = Clocks.new_var true; 
556 
expr_delay = Delay.new_var (); 
557 
expr_loc=loc; 
558 
expr_annot = None}) 
559 
dummy_id_expr cl 
560 
in 
561 
ignore (type_expr env false false when_expr) 
562  
563 
let rec check_type_declaration loc cty = 
564 
match cty with 
565 
 Tydec_clock ty 
566 
 Tydec_array (_, ty) > check_type_declaration loc ty 
567 
 Tydec_const tname > 
568 
if not (Hashtbl.mem type_table cty) 
569 
then raise (Error (loc, Unbound_type tname)); 
570 
 _ > () 
571  
572 
let type_var_decl vd_env env vdecl = 
573 
(*Format.eprintf "Typing.type_var_decl START %a:%a@." Printers.pp_var vdecl Printers.print_dec_ty vdecl.var_dec_type.ty_dec_desc;*) 
574 
check_type_declaration vdecl.var_loc vdecl.var_dec_type.ty_dec_desc; 
575 
let eval_const id = Types.get_static_value (Env.lookup_value env id) in 
576 
let type_dim d = 
577 
begin 
578 
type_subtyping_arg (env, vd_env) false true (expr_of_dimension d) Type_predef.type_int; 
579  
580 
Dimension.eval Basic_library.eval_env eval_const d; 
581 
end in 
582 
let ty = type_coretype type_dim vdecl.var_dec_type.ty_dec_desc in 
583  
584 
let ty_static = 
585 
if vdecl.var_dec_const 
586 
then Type_predef.type_static (Dimension.mkdim_var ()) ty 
587 
else ty in 
588 
(match vdecl.var_dec_value with 
589 
 None > () 
590 
 Some v > type_subtyping_arg (env, vd_env) false ~sub:false true v ty_static); 
591 
try_unify ty_static vdecl.var_type vdecl.var_loc; 
592 
let new_env = Env.add_value env vdecl.var_id ty_static in 
593 
type_coreclock (new_env,vd_env) vdecl.var_dec_clock vdecl.var_id vdecl.var_loc; 
594 
(*Format.eprintf "END %a@." Types.print_ty ty_static;*) 
595 
new_env 
596  
597 
let type_var_decl_list vd_env env l = 
598 
List.fold_left (type_var_decl vd_env) env l 
599  
600 
let type_of_vlist vars = 
601 
let tyl = List.map (fun v > v.var_type) vars in 
602 
type_of_type_list tyl 
603  
604 
let add_vdecl vd_env vdecl = 
605 
if List.exists (fun v > v.var_id = vdecl.var_id) vd_env 
606 
then raise (Error (vdecl.var_loc, Already_bound vdecl.var_id)) 
607 
else vdecl::vd_env 
608  
609 
let check_vd_env vd_env = 
610 
ignore (List.fold_left add_vdecl [] vd_env) 
611  
612 
(** [type_node env nd loc] types node [nd] in environment env. The 
613 
location is used for error reports. *) 
614 
let type_node env nd loc = 
615 
let is_main = nd.node_id = !Options.main_node in 
616 
let vd_env_ol = nd.node_outputs@nd.node_locals in 
617 
let vd_env = nd.node_inputs@vd_env_ol in 
618 
check_vd_env vd_env; 
619 
let init_env = env in 
620 
let delta_env = type_var_decl_list vd_env init_env nd.node_inputs in 
621 
let delta_env = type_var_decl_list vd_env delta_env nd.node_outputs in 
622 
let delta_env = type_var_decl_list vd_env delta_env nd.node_locals in 
623 
let new_env = Env.overwrite env delta_env in 
624 
let undefined_vars_init = 
625 
List.fold_left 
626 
(fun uvs v > ISet.add v.var_id uvs) 
627 
ISet.empty vd_env_ol in 
628 
let undefined_vars = 
629 
List.fold_left (type_eq (new_env, vd_env) is_main) undefined_vars_init (get_node_eqs nd) 
630 
in 
631 
(* Typing asserts *) 
632 
List.iter (fun assert_ > 
633 
let assert_expr = assert_.assert_expr in 
634 
type_subtyping_arg (new_env, vd_env) is_main false assert_expr Type_predef.type_bool 
635 
) nd.node_asserts; 
636 

637 
(* check that table is empty *) 
638 
let local_consts = List.fold_left (fun res vdecl > if vdecl.var_dec_const then ISet.add vdecl.var_id res else res) ISet.empty nd.node_locals in 
639 
let undefined_vars = ISet.diff undefined_vars local_consts in 
640 
if (not (ISet.is_empty undefined_vars)) then 
641 
raise (Error (loc, Undefined_var undefined_vars)); 
642 
let ty_ins = type_of_vlist nd.node_inputs in 
643 
let ty_outs = type_of_vlist nd.node_outputs in 
644 
let ty_node = new_ty (Tarrow (ty_ins,ty_outs)) in 
645 
generalize ty_node; 
646 
(* TODO ? Check that no node in the hierarchy remains polymorphic ? *) 
647 
nd.node_type < ty_node; 
648 
Env.add_value env nd.node_id ty_node 
649  
650 
let type_imported_node env nd loc = 
651 
let new_env = type_var_decl_list nd.nodei_inputs env nd.nodei_inputs in 
652 
let vd_env = nd.nodei_inputs@nd.nodei_outputs in 
653 
check_vd_env vd_env; 
654 
ignore(type_var_decl_list vd_env new_env nd.nodei_outputs); 
655 
let ty_ins = type_of_vlist nd.nodei_inputs in 
656 
let ty_outs = type_of_vlist nd.nodei_outputs in 
657 
let ty_node = new_ty (Tarrow (ty_ins,ty_outs)) in 
658 
generalize ty_node; 
659 
(* 
660 
if (is_polymorphic ty_node) then 
661 
raise (Error (loc, Poly_imported_node nd.nodei_id)); 
662 
*) 
663 
let new_env = Env.add_value env nd.nodei_id ty_node in 
664 
nd.nodei_type < ty_node; 
665 
new_env 
666  
667 
let type_top_const env cdecl = 
668 
let ty = type_const cdecl.const_loc cdecl.const_value in 
669 
let d = 
670 
if is_dimension_type ty 
671 
then dimension_of_const cdecl.const_loc cdecl.const_value 
672 
else Dimension.mkdim_var () in 
673 
let ty = Type_predef.type_static d ty in 
674 
let new_env = Env.add_value env cdecl.const_id ty in 
675 
cdecl.const_type < ty; 
676 
new_env 
677  
678 
let type_top_consts env clist = 
679 
List.fold_left type_top_const env clist 
680  
681 
let rec type_top_decl env decl = 
682 
match decl.top_decl_desc with 
683 
 Node nd > ( 
684 
try 
685 
type_node env nd decl.top_decl_loc 
686 
with Error (loc, err) as exc > ( 
687 
(*if !Options.global_inline then 
688 
Format.eprintf "Type error: failing node@.%a@.@?" 
689 
Printers.pp_node nd 
690 
;*) 
691 
raise exc) 
692 
) 
693 
 ImportedNode nd > 
694 
type_imported_node env nd decl.top_decl_loc 
695 
 Const c > 
696 
type_top_const env c 
697 
 TypeDef _ > List.fold_left type_top_decl env (consts_of_enum_type decl) 
698 
 Open _ > env 
699  
700 
let type_prog env decls = 
701 
try 
702 
List.fold_left type_top_decl env decls 
703 
with Failure _ as exc > raise exc 
704  
705 
(* Once the Lustre program is fully typed, 
706 
we must get back to the original description of dimensions, 
707 
with constant parameters, instead of unifiable internal variables. *) 
708  
709 
(* The following functions aims at 'unevaluating' dimension expressions occuring in array types, 
710 
i.e. replacing unifiable second_order variables with the original static parameters. 
711 
Once restored in this formulation, dimensions may be meaningfully printed. 
712 
*) 
713 
let uneval_vdecl_generics vdecl = 
714 
if vdecl.var_dec_const 
715 
then 
716 
match get_static_value vdecl.var_type with 
717 
 None > (Format.eprintf "internal error: %a@." Types.print_ty vdecl.var_type; assert false) 
718 
 Some d > Dimension.uneval vdecl.var_id d 
719  
720 
let uneval_node_generics vdecls = 
721 
List.iter uneval_vdecl_generics vdecls 
722  
723 
let uneval_top_generics decl = 
724 
match decl.top_decl_desc with 
725 
 Node nd > 
726 
uneval_node_generics (nd.node_inputs @ nd.node_outputs) 
727 
 ImportedNode nd > 
728 
uneval_node_generics (nd.nodei_inputs @ nd.nodei_outputs) 
729 
 Const _ 
730 
 TypeDef _ 
731 
 Open _ > () 
732  
733 
let uneval_prog_generics prog = 
734 
List.iter uneval_top_generics prog 
735  
736 
let rec get_imported_symbol decls id = 
737 
match decls with 
738 
 [] > assert false 
739 
 decl::q > 
740 
(match decl.top_decl_desc with 
741 
 ImportedNode nd when id = nd.nodei_id && decl.top_decl_itf > decl 
742 
 Const c when id = c.const_id && decl.top_decl_itf > decl 
743 
 TypeDef _ > get_imported_symbol (consts_of_enum_type decl @ q) id 
744 
 _ > get_imported_symbol q id) 
745  
746 
let check_env_compat header declared computed = 
747 
uneval_prog_generics header; 
748 
Env.iter declared (fun k decl_type_k > 
749 
let loc = (get_imported_symbol header k).top_decl_loc in 
750 
let computed_t = 
751 
instantiate (ref []) (ref []) 
752 
(try Env.lookup_value computed k 
753 
with Not_found > raise (Error (loc, Declared_but_undefined k))) in 
754 
(*Types.print_ty Format.std_formatter decl_type_k; 
755 
Types.print_ty Format.std_formatter computed_t;*) 
756 
try_unify ~sub:true ~semi:true decl_type_k computed_t loc 
757 
) 
758  
759 
let check_typedef_top decl = 
760 
(*Format.eprintf "check_typedef %a@." Printers.pp_short_decl decl;*) 
761 
(*Format.eprintf "%a" Printers.pp_typedef (typedef_of_top decl);*) 
762 
(*Format.eprintf "%a" Corelang.print_type_table ();*) 
763 
match decl.top_decl_desc with 
764 
 TypeDef ty > 
765 
let owner = decl.top_decl_owner in 
766 
let itf = decl.top_decl_itf in 
767 
let decl' = 
768 
try Hashtbl.find type_table (Tydec_const (typedef_of_top decl).tydef_id) 
769 
with Not_found > raise (Error (decl.top_decl_loc, Declared_but_undefined ("type "^ ty.tydef_id))) in 
770 
let owner' = decl'.top_decl_owner in 
771 
(*Format.eprintf "def owner = %s@.decl owner = %s@." owner' owner;*) 
772 
let itf' = decl'.top_decl_itf in 
773 
(match decl'.top_decl_desc with 
774 
 Const _  Node _  ImportedNode _ > assert false 
775 
 TypeDef ty' when coretype_equal ty'.tydef_desc ty.tydef_desc && owner' = owner && itf && (not itf') > () 
776 
 _ > raise (Error (decl.top_decl_loc, Type_mismatch ty.tydef_id))) 
777 
 _ > () 
778  
779 
let check_typedef_compat header = 
780 
List.iter check_typedef_top header 
781  
782 
(* Local Variables: *) 
783 
(* compilecommand:"make C .." *) 
784 
(* End: *) 