\ / This software is distributed as is, NO WARRANTY.
V_______________________________________________________________ *)
+module U = NUri
module C = Cps
-module S = Share
module L = Log
+module P = Output
module B = Brg
module O = BrgOutput
module E = BrgEnvironment
+module S = BrgSubstitution
exception LRefNotFound of B.message
type machine = {
c: B.context;
- s: B.term list
+ s: (B.term * int) list
}
-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 log1 s c t =
+ let sc, st = s ^ " in the context", "the term" in
+ L.log O.specs level (L.ct_items1 sc c st t)
+
+let log2 s c u t =
+ let sc, su, st = s ^ " in the context", "the term", "and the term" in
+ L.log O.specs level (L.ct_items2 sc c su u st t)
+
+let empty_machine = {
+ c = B.empty_context; s = []
+}
let get f c m i =
- let f = function
- | Some (_, b) -> f b
+ let f e = function
+ | Some (_, b) -> f e b
| None -> error i
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 f c = B.get f c i in
+ B.append f c m.c
-let unwind_to_context f c m = B.append f c m.c
+let lift_stack f s =
+ let map f (v, i) = f (v, succ i) in
+ Cps.list_map f map s
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
+ let map f t (a, b) = f (B.Bind (a, b, t)) in
+ let f mc = C.list_fold_left f map t mc in
+ assert (m.s = []);
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
+let push f m a b =
+ assert (m.s = []);
+ f {m with c = (a, b) :: m.c}
(* 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
-
-(* 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
+let rec step f ?(delta=false) ?(rt=false) c m x =
+(* L.warn "entering R.step"; *)
+ match x with
+ | B.Sort _ -> f m x
+ | B.GRef (a, uri) ->
+ let f = function
+ | _, _, B.Abbr v when delta ->
+ P.add ~gdelta:1 ();
+ step f ~delta ~rt c m v
+ | _, _, B.Abst w when rt ->
+ P.add ~grt:1 ();
+ step f ~delta ~rt c m w
+ | e, _, b ->
+ f m (B.GRef (B.Entry (e, b) :: a, uri))
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
+ | B.LRef (a, i) ->
+ let f e = function
+ | B.Abbr v ->
+ P.add ~ldelta:1 ();
+ step f ~delta ~rt c m v
+ | B.Abst w when rt ->
+ P.add ~lrt:1 ();
+ step f ~delta ~rt c m w
+ | b ->
+ f m (B.LRef (B.Entry (e, b) :: a, i))
in
+ let f e = S.lift_bind (f e) (succ i) (0) 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) ->
+ | B.Cast (_, _, t) ->
+ P.add ~tau:1 ();
+ step f ~delta ~rt c m t
+ | B.Appl (_, v, t) ->
+ step f ~delta ~rt c {m with s = (v, 0) :: 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)))
+ | [] -> f m x
+ | (v, h) :: tl ->
+ P.add ~beta:1 ~upsilon:(List.length tl) ();
+ let f mc sc = step f ~delta ~rt c {c = mc; s = sc} t in
+ let f mc = lift_stack (f mc) tl in
+ let f v = B.push f m.c a (B.Abbr (B.Cast ([], w, v))) in
+ S.lift f h (0) v
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 f sc mc = step f ~delta ~rt c {c = mc; s = sc} t in
+ let f sc = B.push (f sc) m.c a b in
+ lift_stack f m.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 domain f c t =
+ let f r = L.unbox level; f r in
+ let f m = function
+ | B.Bind (_, B.Abst w, _) ->
+ let f w = f (Some w) in unwind_to_term f m w
+ | x -> f None
+ in
+ L.box level; log1 "Now scanning" c t;
+ step f ~delta:true ~rt:true c empty_machine t
+
+let rec ac_nfs f ~si r c m1 u m2 t =
+(* L.warn "entering R.are_convertible_aux"; *)
+ log2 "Now converting nfs" c u t;
+ match u, t with
+ | B.Sort (_, h1), B.Sort (_, h2) ->
+ if h1 = h2 then f r else f false
+ | B.LRef (B.Entry (e1, B.Abst _) :: _, i1),
+ B.LRef (B.Entry (e2, B.Abst _) :: _, i2) ->
+ P.add ~zeta:(i1+i2-e1-e2) ();
+ if e1 = e2 then ac_stacks f ~si r c m1 m2 else f false
+ | B.GRef (B.Entry (e1, B.Abst _) :: _, _),
+ B.GRef (B.Entry (e2, B.Abst _) :: _, _) ->
+ if e1 = e2 then ac_stacks f ~si r c m1 m2 else f false
+ | B.GRef (B.Entry (e1, B.Abbr v1) :: _, _),
+ B.GRef (B.Entry (e2, B.Abbr v2) :: _, _) ->
+ if e1 = e2 then
+ let f r =
+ if r then f r
+ else begin
+ P.add ~gdelta:2 ();
+ ac f ~si true c m1 v1 m2 v2
+ end
+ in
+ ac_stacks f ~si r c m1 m2
+ else if e1 < e2 then begin
+ P.add ~gdelta:1 ();
+ step (ac_nfs f ~si r c m1 u) c m2 v2
+ end else begin
+ P.add ~gdelta:1 ();
+ step (ac_nfs_rev f ~si r c m2 t) c m1 v1
+ end
+ | _, B.GRef (B.Entry (_, B.Abbr v2) :: _, _) ->
+ P.add ~gdelta:1 ();
+ step (ac_nfs f ~si r c m1 u) c m2 v2
+ | B.GRef (B.Entry (_, B.Abbr v1) :: _, _), _ ->
+ P.add ~gdelta:1 ();
+ step (ac_nfs_rev f ~si r c m2 t) c m1 v1
+ | B.Bind (a1, (B.Abst w1 as b1), t1),
+ B.Bind (a2, (B.Abst w2 as b2), t2) ->
+ let g m1 m2 = ac f ~si r c m1 t1 m2 t2 in
+ let g m1 = push (g m1) m2 a2 b2 in
+ let f r = if r then push g m1 a1 b1 else f false in
+ ac f ~si r c m1 w1 m2 w2
+ | B.Sort _, B.Bind (a, b, t) when si ->
+ P.add ~si:1 ();
+ let f m1 m2 = ac f ~si r c m1 u m2 t in
+ let f m1 = push (f m1) m2 a b in
+ push f m1 a b
+ | _ -> f false
+
+and ac_nfs_rev f ~si r c m2 t m1 u = ac_nfs f ~si r c m1 u m2 t
+
+and ac f ~si r c m1 t1 m2 t2 =
+(* L.warn "entering R.are_convertible"; *)
+ let g m1 t1 = step (ac_nfs f ~si r c m1 t1) c m2 t2 in
+ if r = false then f false else step g c m1 t1
+
+and ac_stacks f ~si r c m1 m2 =
+(* L.warn "entering R.are_convertible_stacks"; *)
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 map f r (v1, h1) (v2, h2) =
+ let f v1 = S.lift (ac f ~si r c mm1 v1 mm2) h2 (0) v2 in
+ S.lift f h1 (0) v1
+ in
+ if List.length m1.s <> List.length m2.s then
+ begin
+(* L.warn (Printf.sprintf "Different lengths: %u %u"
+ (List.length m1.s) (List.length m2.s)
+ ); *)
+ f false
+ end
+ else
+ C.list_fold_left2 f map r 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 are_convertible f ?(si=false) c u t =
+ let f b = L.unbox level; f b in
+ L.box level; log2 "Now converting" c u t;
+ ac f ~si true c empty_machine u empty_machine t