\ / This software is distributed as is, NO WARRANTY.
V_______________________________________________________________ *)
+module U = NUri
module C = Cps
module S = Share
module L = Log
+module Y = Entity
+module P = Output
module B = Brg
module O = BrgOutput
module E = BrgEnvironment
-exception LRefNotFound of B.message
-
-type machine = {
- c: B.context;
- s: B.term list
+type kam = {
+ e: B.lenv; (* environment *)
+ s: (B.lenv * B.term) list; (* stack *)
+ d: int (* depth *)
}
-type whd_result =
- | Sort_ of int
- | LRef_ of int * B.term option
- | GRef_ of int * B.bind
- | Bind_ of B.id * B.term * B.term
-
-type ho_whd_result =
- | Sort of int
- | Abst of B.term
-
(* Internal functions *******************************************************)
let level = 5
-let error i = raise (LRefNotFound (L.items1 (string_of_int i)))
-
-let empty_machine = {c = B.empty_context; s = []}
-
-let get f c m i =
- let f = function
- | Some (_, b) -> f b
- | None -> error i
+let log1 s c t =
+ let sc, st = s ^ " in the environment", "the term" in
+ L.log O.specs level (L.et_items1 sc c st t)
+
+let log2 s cu u ct t =
+ let s1, s2, s3 = s ^ " in the environment", "the term", "and in the environment" in
+ L.log O.specs level (L.et_items2 s1 cu s2 u ~sc2:s3 ~c2:ct s2 t)
+
+let rec list_and map = function
+ | hd1 :: tl1, hd2 :: tl2 ->
+ if map hd1 hd2 then list_and map (tl1, tl2) else false
+ | l1, l2 -> l1 = l2
+
+(* check closure *)
+let are_alpha_convertible err f t1 t2 =
+ let rec aux f = function
+ | B.Sort (_, p1), B.Sort (_, p2)
+ | B.LRef (_, p1), B.LRef (_, p2) ->
+ if p1 = p2 then f () else err ()
+ | B.GRef (_, u1), B.GRef (_, u2) ->
+ if U.eq u1 u2 then f () else err ()
+ | B.Cast (_, v1, t1), B.Cast (_, v2, t2)
+ | B.Appl (_, v1, t1), B.Appl (_, v2, t2) ->
+ let f _ = aux f (t1, t2) in
+ aux f (v1, v2)
+ | B.Bind (_, b1, t1), B.Bind (_, b2, t2) ->
+ let f _ = aux f (t1, t2) in
+ aux_bind f (b1, b2)
+ | _ -> err ()
+ and aux_bind f = function
+ | B.Abbr v1, B.Abbr v2
+ | B.Abst v1, B.Abst v2 -> aux f (v1, v2)
+ | B.Void, B.Void -> f ()
+ | _ -> err ()
in
- let f gl _ = if i < gl then B.get f c i else B.get f m.c (i - gl) in
- B.contents f c
-
-let contents f c m =
- let f gl ges = B.contents (f gl ges) m.c in
- B.contents f c
-
-let unwind_to_context f c m = B.append f c m.c
-
-let unwind_to_term f m t =
- let map f t (id, b) = f (B.Bind (id, b, t)) in
- let f _ mc = C.list_fold_left f map t mc in
- B.contents f m.c
-
-let rec lref_map_bind f map b = match b with
- | B.Abbr v ->
- let f v' = f (S.sh1 v v' b B.abbr) in
- lref_map f map v
- | B.Abst w ->
- let f w' = f (S.sh1 w w' b B.abst) in
- lref_map f map w
- | B.Void -> f b
-
-and lref_map f map t = match t with
- | B.LRef i -> f (B.LRef (map i))
- | B.GRef _ -> f t
- | B.Sort _ -> f t
- | B.Cast (w, u) ->
- let f w' u' = f (S.sh2 w w' u u' t B.cast) in
- let f w' = lref_map (f w') map u in
- lref_map f map w
- | B.Appl (w, u) ->
- let f w' u' = f (S.sh2 w w' u u' t B.appl) in
- let f w' = lref_map (f w') map u in
- lref_map f map w
- | B.Bind (id, b, u) ->
- let f b' u' = f (S.sh2 b b' u u' t (B.bind id)) in
- let f b' = lref_map (f b') map u in
- lref_map_bind f map b
+ if S.eq t1 t2 then f () else aux f (t1, t2)
-(* to share *)
-let lift f c m =
- let f gl _ =
- let map i = if i >= gl then succ i else i in
- let map f = function
- | id, B.Abbr t -> let f t = f (id, B.Abbr t) in lref_map f map t
- | _ -> assert false
- in
- let f mc = f {m with c = mc} in
- B.map f map m.c
- in
- B.contents f c
+let get m i =
+ let _, c, a, b = B.get m.e i in c, a, b
(* to share *)
-let xchg f c m t =
- let f gl _ ll _ =
- let map i =
- if i < gl || i > gl + ll then i else
- if i >= gl && i < gl + ll then succ i else gl
- in
- lref_map f map t
- in
- contents f c m
-
-let push f c m id w t =
- assert (m.s = []);
- let f c m = xchg (f c m) c m t in
- let f c = lift (f c) c m in
- let f w = B.push f c id (B.Abst w) in
- unwind_to_term f m w
-
-(* to share *)
-let rec whd f c m x = match x with
- | B.Sort h -> f m (Sort_ h)
- | B.GRef uri ->
- let f (i, _, b) = f m (GRef_ (i, b)) in
- E.get_obj f uri
- | B.LRef i ->
- let f = function
- | B.Void -> f m (LRef_ (i, None))
- | B.Abst t -> f m (LRef_ (i, Some t))
- | B.Abbr t -> whd f c m t
- in
- get f c m i
- | B.Cast (_, t) -> whd f c m t
- | B.Appl (v, t) -> whd f c {m with s = v :: m.s} t
- | B.Bind (id, B.Abst w, t) ->
+let rec step st m x =
+(* L.warn "entering R.step"; *)
+ match x with
+ | B.Sort _ -> m, None, x
+ | B.GRef (_, uri) ->
+ begin match E.get_entity uri with
+ | _, _, Y.Abbr v when st.Y.delta ->
+ P.add ~gdelta:1 (); step st m v
+ | _, _, Y.Abst w when st.Y.rt ->
+ P.add ~grt:1 (); step st m w
+ | a, _, Y.Abbr v ->
+ let e = Y.apix C.err C.start a in
+ m, Some (e, a, B.Abbr v), x
+ | a, _, Y.Abst w ->
+ let e = Y.apix C.err C.start a in
+ m, Some (e, a, B.Abst w), x
+ | _, _, Y.Void -> assert false
+ end
+ | B.LRef (_, i) ->
+ begin match get m i with
+ | c, _, B.Abbr v ->
+ P.add ~ldelta:1 ();
+ step st {m with e = c} v
+ | c, _, B.Abst w when st.Y.rt ->
+ P.add ~lrt:1 ();
+ step st {m with e = c} w
+ | c, _, B.Void ->
+ assert false
+ | c, a, (B.Abst _ as b) ->
+ let e = Y.apix C.err C.start a in
+ {m with e = c}, Some (e, a, b), x
+ end
+ | B.Cast (_, _, t) ->
+ P.add ~tau:1 ();
+ step st m t
+ | B.Appl (_, v, t) ->
+ step st {m with s = (m.e, v) :: m.s} t
+ | B.Bind (a, B.Abst w, t) ->
begin match m.s with
- | [] -> f m (Bind_ (id, w, t))
- | v :: tl ->
- let f mc = whd f c {c = mc; s = tl} t in
- B.push f m.c id (B.Abbr (B.Cast (w, v)))
+ | [] -> m, None, x
+ | (c, v) :: s ->
+ P.add ~beta:1 ~upsilon:(List.length s) ();
+ let e = B.push m.e c a (B.abbr v) (* (B.Cast ([], w, v)) *) in
+ step st {m with e = e; s = s} t
end
- | B.Bind (id, b, t) ->
- let f mc = whd f c {m with c = mc} t in
- B.push f m.c id b
+ | B.Bind (a, b, t) ->
+ P.add ~upsilon:(List.length m.s) ();
+ let e = B.push m.e m.e a b in
+ step st {m with e = e} t
+
+let push m a b =
+ assert (m.s = []);
+ let a, d = match b with
+ | B.Abst _ -> Y.Apix m.d :: a, succ m.d
+ | b -> a, m.d
+ in
+ let e = B.push m.e m.e a b in
+ {m with e = e; d = d}
+
+let rec ac_nfs st (m1, r1, u) (m2, r2, t) =
+ log2 "Now converting nfs" m1.e u m2.e t;
+ match r1, u, r2, t with
+ | _, B.Sort (_, h1), _, B.Sort (_, h2) ->
+ h1 = h2
+ | Some (e1, _, B.Abst _), _, Some (e2, _, B.Abst _), _ ->
+ if e1 = e2 then ac_stacks st m1 m2 else false
+ | Some (e1, _, B.Abbr v1), _, Some (e2, _, B.Abbr v2), _ ->
+ if e1 = e2 then
+ if ac_stacks st m1 m2 then true else begin
+ P.add ~gdelta:2 (); ac st m1 v1 m2 v2
+ end
+ else if e1 < e2 then begin
+ P.add ~gdelta:1 ();
+ ac_nfs st (m1, r1, u) (step st m2 v2)
+ end else begin
+ P.add ~gdelta:1 ();
+ ac_nfs st (step st m1 v1) (m2, r2, t)
+ end
+ | _, _, Some (_, _, B.Abbr v2), _ ->
+ P.add ~gdelta:1 ();
+ ac_nfs st (m1, r1, u) (step st m2 v2)
+ | Some (_, _, B.Abbr v1), _, _, _ ->
+ P.add ~gdelta:1 ();
+ ac_nfs st (step st m1 v1) (m2, r2, t)
+ | _, B.Bind (a1, (B.Abst w1 as b1), t1),
+ _, B.Bind (a2, (B.Abst w2 as b2), t2) ->
+ if ac {st with Y.si = false} m1 w1 m2 w2 then
+ ac st (push m1 a1 b1) t1 (push m2 a2 b2) t2
+ else false
+ | _, B.Sort _, _, B.Bind (a, b, t) when st.Y.si ->
+ P.add ~si:1 ();
+ ac st (push m1 a b) u (push m2 a b) t
+ | _ -> false
+
+and ac st m1 t1 m2 t2 =
+(* L.warn "entering R.are_convertible"; *)
+ ac_nfs st (step st m1 t1) (step st m2 t2)
+
+and ac_stacks st m1 m2 =
+(* L.warn "entering R.are_convertible_stacks"; *)
+ if List.length m1.s <> List.length m2.s then false else
+ let map (c1, v1) (c2, v2) =
+ let m1, m2 = {m1 with e = c1; s = []}, {m2 with e = c2; s = []} in
+ ac {st with Y.si = false} m1 v1 m2 v2
+ in
+ list_and map (m1.s, m2.s)
(* Interface functions ******************************************************)
-let rec ho_whd f c m x =
- let aux m = function
- | Sort_ h -> f c (Sort h)
- | Bind_ (_, w, _) ->
- let f c = f c (Abst w) in unwind_to_context f c m
- | LRef_ (_, Some w) -> ho_whd f c m w
- | GRef_ (_, B.Abst u) -> ho_whd f c m u
- | GRef_ (_, B.Abbr t) -> ho_whd f c m t
- | LRef_ (_, None) -> assert false
- | GRef_ (_, B.Void) -> assert false
- in
- whd aux c m x
-
-let ho_whd f c t =
- L.log O.specs level (L.ct_items1 "Now scanning" c t);
- ho_whd f c empty_machine t
-
-let rec are_convertible f c1 m1 t1 c2 m2 t2 =
- let rec aux m1 r1 m2 r2 = match r1, r2 with
- | Sort_ h1, Sort_ h2 -> f (h1 = h2)
- | LRef_ (i1, _), LRef_ (i2, _) ->
- if i1 = i2 then are_convertible_stacks f c1 m1 c2 m2 else f false
- | GRef_ (a1, B.Abst _), GRef_ (a2, B.Abst _) ->
- if a1 = a2 then are_convertible_stacks f c1 m1 c2 m2 else f false
- | GRef_ (a1, B.Abbr v1), GRef_ (a2, B.Abbr v2) ->
- if a1 = a2 then are_convertible_stacks f c1 m1 c2 m2 else
- if a1 < a2 then whd (aux m1 r1) c2 m2 v2 else
- whd (aux_rev m2 r2) c1 m1 v1
- | _, GRef_ (_, B.Abbr v2) ->
- whd (aux m1 r1) c2 m2 v2
- | GRef_ (_, B.Abbr v1), _ ->
- whd (aux_rev m2 r2) c1 m1 v1
- | Bind_ (id1, w1, t1), Bind_ (id2, w2, t2) ->
- let f b =
- if b then
- let f c1 m1 t1 =
- push (are_convertible f c1 m1 t1) c2 m2 id2 w2 t2
- in
- push f c1 m1 id1 w1 t1
- else f false
- in
- are_convertible f c1 m1 w1 c2 m2 w2
- | _ -> f false
- and aux_rev m2 r2 m1 r1 = aux m1 r1 m2 r2 in
- let f m1 r1 = whd (aux m1 r1) c2 m2 t2 in
- whd f c1 m1 t1
-
-and are_convertible_stacks f c1 m1 c2 m2 =
- let mm1, mm2 = {m1 with s = []}, {m2 with s = []} in
- let map f v1 v2 = are_convertible f c1 mm1 v1 c2 mm2 v2 in
- if List.length m1.s <> List.length m2.s then f false else
- C.forall2 f map m1.s m2.s
-
-let are_convertible f c t1 t2 =
- L.log O.specs level (L.ct_items2 "Now converting" c t1 "and" c t2);
- are_convertible f c empty_machine t1 c empty_machine t2
+let empty_kam = {
+ e = B.empty; s = []; d = 0
+}
+
+let get m i =
+ assert (m.s = []);
+ let _, _, _, b = B.get m.e i in b
+
+let xwhd st m t =
+ L.box level; log1 "Now scanning" m.e t;
+ let m, _, t = step {st with Y.delta = true; Y.rt = true} m t in
+ L.unbox level; m, t
+
+let are_convertible st mu u mw w =
+ L.box level; log2 "Now converting" mu.e u mw.e w;
+ let r = ac {st with Y.delta = st.Y.expand; Y.rt = false} mu u mw w in
+ L.unbox level; r
+(* let err _ = in
+ if S.eq mu mw then are_alpha_convertible err f u w else err () *)
+
+(* error reporting **********************************************************)
+
+let pp_term m frm t = O.specs.L.pp_term m.e frm t
+
+let pp_lenv frm m = O.specs.L.pp_lenv frm m.e
+
+let specs = {
+ L.pp_term = pp_term; L.pp_lenv = pp_lenv
+}
projects / helm.git / blobdiff