X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=ocaml%2Fnum.ml;h=2cb9b731a1dda17d50f9211a694548e7153b89bf;hb=08d2b663e5089ed046ef771bfb2555a31e525f1c;hp=614dde85185147fe812dc37d647300ea8d363651;hpb=a083188139e0ae7c4db8e6f0d7b7c913006fa148;p=fireball-separation.git diff --git a/ocaml/num.ml b/ocaml/num.ml index 614dde8..2cb9b73 100644 --- a/ocaml/num.ml +++ b/ocaml/num.ml @@ -157,12 +157,21 @@ let cast_to_i_num_var = prerr_endline (print (t :> nf)); assert false (* algorithm failed *) +let set_arity arity = function +| `Var(n,_) -> `Var(n,arity) +| `Lam(false, `N _) +| `Lam(false, `Lam _) as t -> t +| `Lam(false, `Match(t,(n,_),bs_lift,bs,args)) -> `Lam(false, `Match(t,(n,arity),bs_lift,bs,args)) +| _ -> assert false + +let minus1 n = if n = min_int then n else n - 1;; + let rec mk_app (h : nf) (arg : nf) = (*let res =*) match h with `I(v,args) -> `I(v,Listx.append (Listx.Nil arg) args) | `Var v -> `I(v, Listx.Nil arg) - | `Lam(_,nf) -> subst true 0 arg (nf : nf) (* AC FIXME sanity check on arity *) + | `Lam(truelam,nf) -> subst truelam true 0 arg (nf : nf) (* AC FIXME sanity check on arity *) | `Match(t,v,lift,bs,args) -> `Match(t,v,lift,bs,List.append args [arg]) | `N _ -> assert false (* Numbers cannot be applied *) (*in let l = ["v0";"v1";"v2"] in @@ -174,29 +183,35 @@ and mk_appl h args = and mk_appx h args = Listx.fold_left mk_app h args -and mk_match t ar bs_lift bs args = +and mk_match t (n,ar) bs_lift bs args = (*prerr_endline ("MK_MATCH: ([" ^ print t ^ "] " ^ String.concat " " (Listx.to_list (Listx.map (fun (n,t) -> string_of_int n ^ " => " ^ print t) bs)) ^ ") " ^ String.concat " " (List.map print args));*) match t with `N m -> (try let h = List.assoc m !bs in + let h = set_arity (minus1 ar) h in let h = lift bs_lift h in mk_appl h args with Not_found -> - `Match (t,ar,bs_lift,bs,args)) - | `I _ | `Var _ | `Match _ -> `Match(t,ar,bs_lift,bs,args) - -and subst delift_by_one what (with_what : nf) (where : nf) = + `Match (t,(n,ar),bs_lift,bs,args)) + | `I _ | `Var _ | `Match _ -> `Match(t,(n,ar),bs_lift,bs,args) + +and subst truelam delift_by_one what (with_what : nf) (where : nf) = + let aux_propagate_arity ar = function + | `Lam(false,`Match(`I(v,args),(x,_),liftno,bs,args')) when not delift_by_one -> + `Lam(false,`Match(`I(v,args),(x,ar),liftno,bs,args')) + | `Var(i,oldar) -> `Var(i, if truelam && oldar = min_int then ar else oldar) + | _ as t -> t in let rec aux_i_num_var l = function `I((n,ar),args) -> if n = what + l then - mk_appx (lift l with_what) (Listx.map (aux l) args) + mk_appx (lift l (aux_propagate_arity ar with_what)) (Listx.map (aux l) args) else `I (((if delift_by_one && n >= l then n-1 else n), ar), Listx.map (aux l) args) | `Var(n,ar) -> if n = what + l then - lift l with_what + lift l (aux_propagate_arity ar with_what) else `Var((if delift_by_one && n >= l then n-1 else n), ar) | `N _ as x -> x @@ -206,7 +221,7 @@ and subst delift_by_one what (with_what : nf) (where : nf) = let with_what' = lift l' with_what in (* The following line should be the identity when delift_by_one = true because we are assuming the ts to not contain lambda-bound variables. *) - bs := List.map (fun (n,t) -> n,subst false what with_what' t) !bs ; + bs := List.map (fun (n,t) -> n,subst truelam false what with_what' t) !bs ; mk_match (cast_to_i_num_var (aux_i_num_var l t)) v bs_lift bs (List.map (aux l) args) and aux l(*lift*) = (*function iii -> let res = match iii with*) @@ -223,12 +238,12 @@ prerr_endline ("subst l:" ^ string_of_int l ^ " delift_by_one:" ^ string_of_bool let parse' strs = let fix_arity = function - | `I((n,_),args) -> `I((n,Listx.length args),args) + | `I((n,_),args) -> `I((n,1+Listx.length args),args) | _ -> assert false in let rec aux = function | Parser.Lam t -> `Lam (true, aux t) | Parser.App (t1, t2) -> fix_arity (mk_app (aux t1) (aux t2)) - | Parser.Var v -> `Var(v,0) in + | Parser.Var v -> `Var(v,1) in let (tms, free) = Parser.parse_many strs in List.map aux tms, free ;; @@ -292,14 +307,45 @@ let eta_subterm (#nf as x) (#nf as y) = eta_subterm x y;; let max_arity_tms n = - let aux_var l (m,a) = if n + l = m then a else -1 in + let max a b = match a, b with + | None, None -> None + | None, Some x + | Some x, None -> Some x + | Some x, Some y -> Some (Pervasives.max x y) in + let aux_var l (m,a) = if n + l = m then Some a else None in let rec aux l = function | `Var v -> aux_var l v | `I(v,tms) -> max (aux_var l v) (aux_tms l (Listx.to_list tms)) | `Lam(_,t) -> aux (l+1) t | `Match(u,_,_,bs,args) -> max (max (aux l (u :> nf)) (aux_tms l args)) (aux_tms l (List.map snd !bs)) - | `N _ -> -1 + | `N _ -> None and aux_tms l = - List.fold_left (fun acc t -> Pervasives.max acc (aux l t)) ~-1 in + List.fold_left (fun acc t -> Pervasives.max acc (aux l t)) None in fun tms -> aux_tms 0 (tms :> nf list) ;; + +let get_first_args var = +let rec aux l = function +| `Lam(_,t) -> aux (l+1) t +| `Match(u,orig,liftno,bs,args) -> Util.concat_map (aux l) args +| `I((n,_), args) -> if n = var + l then [Listx.last args] else [] +| `N _ +| `Var _ -> [] +in aux 0 +;; + +let compute_arities m = + let rec aux n tms = + if n = 0 + then [] + else + let tms = Util.filter_map (function `Lam(_,t) -> Some t | _ -> None ) tms in + let arity = match max_arity_tms (m-n) tms with None -> -666 | Some x -> x in + arity :: (aux (n-1) tms) + in fun tms -> List.rev (aux m tms) +;; + +let compute_arities var special_k all_tms = + let tms = List.fold_left (fun acc t -> acc @ (get_first_args var t)) [] all_tms in + compute_arities special_k tms +;;