\ / This software is distributed as is, NO WARRANTY.
V_______________________________________________________________ *)
+module U = NUri
+module C = Cps
+module A = Share
module L = Log
module H = Hierarchy
+module Y = Entity
module B = Brg
module O = BrgOutput
module E = BrgEnvironment
+module S = BrgSubstitution
module R = BrgReduction
-exception TypeError of B.message
+type message = (R.kam, B.term) Log.message
(* Internal functions *******************************************************)
let level = 4
-let error1 s c t =
- raise (TypeError (L.ct_items1 s c t))
+let message1 st1 m t1 =
+ L.et_items1 "In the environment" m st1 t1
-let error2 s1 c1 t1 s2 c2 t2 =
- raise (TypeError (L.ct_items2 s1 c1 t1 s2 c2 t2))
+let log1 s m t =
+ let s = s ^ " the term" in
+ L.log R.specs level (message1 s m t)
-(* Interface functions ******************************************************)
+let error1 err s m t =
+ err (message1 s m t)
+
+let message3 m t1 t2 ?mu t3 =
+ let sm, st1, st2 = "In the environment", "the term", "is of type" in
+ match mu with
+ | Some mu ->
+ let smu, st3 = "but in the environment", "it must be of type" in
+ L.et_items3 sm m st1 t1 st2 t2 ~sc3:smu ~c3:mu st3 t3
+ | None ->
+ let st3 = "but it must be of type" in
+ L.et_items3 sm m st1 t1 st2 t2 st3 t3
+
+let error3 err m t1 t2 ?mu t3 =
+ err (message3 m t1 t2 ?mu t3)
+
+let assert_convertibility err f ~si m u w v =
+ let err _ = error3 err m v w u in
+ R.are_convertible err f ~si m u m w
-let rec type_of f g c x =
- L.log O.specs level (L.ct_items1 "now checking" c x);
+let assert_applicability err f ~si m u w v =
+ let f mu = function
+ | B.Sort _ -> error1 err "not a function type" m u
+ | B.Bind (B.Abst (_, u), _) ->
+ let err _ = error3 err m v w ~mu u in
+ R.are_convertible err f ~si mu u m w
+ | _ -> assert false
+ in
+ R.xwhd f m u
+
+let rec b_type_of err f ~si g m x =
+ log1 "Now checking" m x;
match x with
- | B.Sort h ->
- let f h = f (B.Sort h) in H.apply f g h
- | B.LRef i ->
+ | B.Sort (a, h) ->
+ let f h = f x (B.Sort (a, h)) in H.apply f g h
+ | B.LRef (_, i) ->
let f = function
- | Some (_, B.Abst w) -> f w
- | Some (_, B.Abbr (B.Cast (w, v))) -> f w
- | Some (_, B.Abbr _) -> assert false
- | Some (_, B.Void) ->
- error1 "reference to excluded variable" c x
- | None ->
- error1 "variable not found" c x
+ | B.Abst (_, w) ->
+ S.lift (f x) (succ i) (0) w
+ | B.Abbr (_, B.Cast (_, w, _)) ->
+ S.lift (f x) (succ i) (0) w
+ | B.Abbr _ -> assert false
+ | B.Void _ ->
+ error1 err "reference to excluded variable" m x
in
- B.get f c i
- | B.GRef uri ->
+ let err _ = error1 err "reference to unknown variable" m x in
+ R.get err f m i
+ | B.GRef (_, uri) ->
let f = function
- | _, _, B.Abst w -> f w
- | _, _, B.Abbr (B.Cast (w, v)) -> f w
- | _, _, B.Abbr _ -> assert false
- | _, _, B.Void ->
- error1 "reference to excluded object" c x
+ | _, _, Y.Abst w -> f x w
+ | _, _, Y.Abbr (B.Cast (_, w, _)) -> f x w
+ | _, _, Y.Abbr _ -> assert false
+ in
+ let err _ = error1 err "reference to unknown entry" m x in
+ E.get_entity err f uri
+ | B.Bind (B.Abbr (a, v), t) ->
+ let f xv xt tt =
+ f (A.sh2 v xv t xt x (B.bind_abbr a)) (B.bind_abbr a xv tt)
in
- E.get_obj f uri
- | B.Bind (id, B.Abbr u, t) ->
- let f tt = f (B.Bind (id, B.Abbr u, tt)) in
- let f cc = type_of f g cc t in
- let f u = B.push f c id (B.Abbr u) in
- let f uu = match u with
- | B.Cast _ -> f u
- | _ -> f (B.Cast (uu, u))
+ let f xv m = b_type_of err (f xv) ~si g m t in
+ let f xv = R.push (f xv) m (B.abbr a xv) in
+ let f xv vv = match xv with
+ | B.Cast _ -> f xv
+ | _ -> f (B.Cast ([], vv, xv))
in
- type_of f g c u
- | B.Bind (id, B.Abst u, t) ->
- let f tt = f (B.Bind (id, B.Abst u, tt)) in
- let f cc = type_of f g cc t in
- let f _ = B.push f c id (B.Abst u) in
- type_of f g c u
- | B.Bind (id, B.Void, t) ->
- let f tt = f (B.Bind (id, B.Void, tt)) in
- let f cc = type_of f g cc t in
- B.push f c id B.Void
- | B.Appl (v, t) ->
- let f tt cc = function
- | R.Sort _ -> error1 "not a function" c t
- | R.Abst w ->
- L.log O.specs (succ level) (L.ct_items1 "Just scanned" cc w);
- let f b =
- if b then f (B.Appl (v, tt)) else
- error2 "the term" c v "must be of type" cc w
- in
- type_of (R.are_convertible f cc w) g c v
+ type_of err f ~si g m v
+ | B.Bind (B.Abst (a, u), t) ->
+ let f xu xt tt =
+ f (A.sh2 u xu t xt x (B.bind_abst a)) (B.bind_abst a xu tt)
in
- let f tt = R.ho_whd (f tt) c t in
- type_of f g c t
- | B.Cast (u, t) ->
- let f b =
- if b then f u else
- error2 "the term" c t "must be of type" c u
+ let f xu m = b_type_of err (f xu) ~si g m t in
+ let f xu _ = R.push (f xu) m (B.abst a xu) in
+ type_of err f ~si g m u
+ | B.Bind (B.Void a as b, t) ->
+ let f xt tt =
+ f (A.sh1 t xt x (B.bind b)) (B.bind b tt)
in
- let f _ = type_of (R.are_convertible f c u) g c t in
- type_of f g c u
+ let f m = b_type_of err f ~si g m t in
+ R.push f m b
+ | B.Appl (a, v, t) ->
+ let f xv vv xt tt =
+ let f _ = f (A.sh2 v xv t xt x (B.appl a)) (B.appl a xv tt) in
+ assert_applicability err f ~si m tt vv xv
+ in
+ let f xv vv = b_type_of err (f xv vv) ~si g m t in
+ type_of err f ~si g m v
+ | B.Cast (a, u, t) ->
+ let f xu xt tt =
+ let f _ = f (A.sh2 u xu t xt x (B.cast a)) xu in
+ assert_convertibility err f ~si m xu tt xt
+ in
+ let f xu _ = b_type_of err (f xu) ~si g m t in
+ type_of err f ~si g m u
+
+(* Interface functions ******************************************************)
+
+and type_of err f ?(si=false) g m x =
+ let f t u = L.unbox level; f t u in
+ L.box level; b_type_of err f ~si g m x