X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=ocaml%2Flambda4.ml;h=82d5046576a6853ac251a27a4bd8c72fe5bd08e7;hb=6d9e673e3a6896f487988d897f927d07104d6a73;hp=9ab675e6b95ab242efc8e138d3c62309a92328e7;hpb=6f8c64dcbe6b864cb0f9417bfab284e398337ae3;p=fireball-separation.git diff --git a/ocaml/lambda4.ml b/ocaml/lambda4.ml index 9ab675e..82d5046 100644 --- a/ocaml/lambda4.ml +++ b/ocaml/lambda4.ml @@ -6,15 +6,13 @@ open Num (* exceptions *) exception Pacman exception Bottom +exception Lambda exception Backtrack of string -(* - The number of arguments which can applied to numbers - safely, depending on the encoding of numbers. - For Scott's encoding, two. -*) -let num_more_args = 2;; +(* verbosity *) let _very_verbose = false;; +(** Display measure of every term when printing problem *) +let _measure_of_terms = false;; let verbose s = if _very_verbose then prerr_endline s @@ -87,6 +85,7 @@ let problem_measure p = sum_arities p;; let string_of_measure = string_of_int;; let string_of_problem label ({freshno; div; conv; ps; deltas} as p) = + let aux_measure_terms t = if _measure_of_terms then "(" ^ string_of_int (measure_of_term t) ^ ") " else "" in let deltas = String.concat ("\n# ") (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in let l = p.var_names in String.concat "\n" ([ @@ -98,10 +97,10 @@ let string_of_problem label ({freshno; div; conv; ps; deltas} as p) = ) else "# "; "#"; "$" ^ p.label; - (match div with None -> "# no D" | Some div -> "D ("^string_of_int (measure_of_term div)^")"^ print ~l (div :> nf)); + (match div with None -> "# D" | Some div -> "D " ^ aux_measure_terms div ^ print ~l (div :> nf)); ] - @ List.map (fun t -> if t = convergent_dummy then "#C" else "C ("^string_of_int (measure_of_term t)^") " ^ print ~l (t :> nf)) conv - @ List.mapi (fun i t -> string_of_int i ^ " ("^string_of_int (measure_of_term t)^") " ^ print ~l (t :> nf)) ps + @ List.map (fun t -> if t = convergent_dummy then "# C" else "C " ^ aux_measure_terms t ^ print ~l (t :> nf)) conv + @ List.mapi (fun i t -> string_of_int i ^ " " ^ aux_measure_terms t ^ print ~l (t :> nf)) ps @ [""]) ;; @@ -208,7 +207,7 @@ prerr_endline ("# INST0: " ^ string_of_var x ^ " := " ^ print ~l inst));*) let freshno,new_t,acc_new_ps = try expand_match (freshno,ps,acc_new_ps) t - with Pacman -> freshno,convergent_dummy,acc_new_ps + with Pacman | Lambda -> freshno,convergent_dummy,acc_new_ps | Bottom -> raise (Backtrack "Bottom in conv") in aux_conv ps (freshno,acc_conv@[new_t],acc_new_ps) todo_conv @@ -257,7 +256,7 @@ List.iter (fun x -> prerr_endline ("IN2: " ^ print (fst x :> nf))) super_simplif let t = mk_match (`N i) orig bs_lift bs (args :> nf list) in (*prerr_endline ("NUOVO t:" ^ print (fst t :> nf) ^ " more_args=" ^ string_of_int (snd t));*) expand_match (freshno,acc_ps,acc_new_ps) t - | `Lam _ -> assert false (* algorithm invariant/loose typing *) + | `Lam _ -> raise Lambda (* assert false (* algorithm invariant/loose typing *) *) | `Bottom -> raise Bottom | `Pacman -> raise Pacman | #i_n_var as x -> @@ -278,11 +277,11 @@ List.iter (fun x -> prerr_endline ("IN2: " ^ print (fst x :> nf))) super_simplif ); let p = {p with sigma = sigma@[x,inst]} in let p = super_simplify p in - prerr_endline (string_of_problem "instantiate" p); p ;; -exception Dangerous +exception TriggerMatchReduction of int;; +exception Dangerous;; let arity_of arities hd = let pos,_,nargs = List.find (fun (_,hd',_) -> hd=hd') arities in @@ -300,8 +299,8 @@ let rec dangerous arities showstoppers = (match t with `N _ -> List.iter (dangerous arities showstoppers) args | `Match _ as t -> dangerous arities showstoppers t ; List.iter (dangerous arities showstoppers) args - | `Var(x,_) -> dangerous_inert arities showstoppers x args num_more_args - | `I((x,_),args') -> dangerous_inert arities showstoppers x (Listx.to_list args' @ args) num_more_args + | `Var(x,_) -> dangerous_inert arities showstoppers x args 2 + | `I((x,_),args') -> dangerous_inert arities showstoppers x (Listx.to_list args' @ args) 2 ) | `I((k,_),args) -> dangerous_inert arities showstoppers k (Listx.to_list args) 0 @@ -317,93 +316,126 @@ and dangerous_inert arities showstoppers k args more_args = (* cut & paste from above *) let rec dangerous_conv p arities showstoppers = function - `N _ + | `N _ | `Var _ | `Lam _ - | `Pacman -> [] - | `Match(t,_,liftno,bs,args) -> + | `Pacman -> () + | `Match(t,_,liftno,bs,args) -> ( (* CSC: XXX partial dependency on the encoding *) - (match t with - `N _ -> concat_map (dangerous_conv p arities showstoppers) args - | `Match _ as t -> dangerous_conv p arities showstoppers t @ concat_map (dangerous_conv p arities showstoppers) args + try (match t with + | `N _ -> List.iter (dangerous_conv p arities showstoppers) args + | `Match _ as t -> dangerous_conv p arities showstoppers t; List.iter (dangerous_conv p arities showstoppers) args | `Var(x,_) -> dangerous_inert_conv p arities showstoppers x [] args 2 | `I((x,_),args') -> dangerous_inert_conv p arities showstoppers x (Listx.to_list args') args 2 - ) + ) with TriggerMatchReduction x -> ( + match Util.find_opt (fun (n, t) -> if hd_of (List.nth p.ps n) = Some x then Some t else None) !bs with + | None -> () + | Some t -> ( + match t with + | `Bottom -> raise Dangerous + | #nf_nob as t -> dangerous_conv p arities showstoppers t + ) + ) + ) | `I((k,_),args) -> dangerous_inert_conv p arities showstoppers k (Listx.to_list args) [] 0 and dangerous_inert_conv p arities showstoppers k args match_args more_args = let all_args = args @ match_args in - let dangerous_args = concat_map (dangerous_conv p arities showstoppers) all_args in + List.iter (dangerous_conv p arities showstoppers) all_args; let all_args = (all_args :> nf list) in - if dangerous_args = [] then ( - if List.mem k showstoppers then k :: concat_map free_vars all_args else - try - let arity = arity_of arities k in -prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var p.var_names k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args); - if more_args > 0 (* match argument*) && List.length args = arity then [] - else if List.length all_args + more_args > arity then k :: concat_map free_vars all_args else [] - with - Not_found -> [] - ) else k :: concat_map free_vars all_args + if List.mem k showstoppers then raise Dangerous else + try + let arity = arity_of arities k in +(* prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var p.var_names k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args); *) + if more_args > 0 (* match argument*) && List.length args = arity then raise (TriggerMatchReduction k) + else if List.length all_args + more_args > arity then raise Dangerous else () + with + Not_found -> () (* inefficient algorithm *) -let rec edible ({div; conv; ps} as p) arities showstoppers = - let rec aux showstoppers = - function - [] -> showstoppers +let rec edible p arities showstoppers = + let rec aux f showstoppers tms = function + | [] -> showstoppers | x::xs when List.exists (fun y -> hd_of x = Some y) showstoppers -> (* se la testa di x e' uno show-stopper *) let new_showstoppers = sort_uniq (showstoppers @ free_vars (x :> nf)) in (* aggiungi tutte le variabili libere di x *) if List.length showstoppers <> List.length new_showstoppers then - aux new_showstoppers ps + aux f new_showstoppers tms tms else - aux showstoppers xs + aux f showstoppers tms xs | x::xs -> match hd_of x with - None -> aux showstoppers xs + None -> aux f showstoppers tms xs | Some h -> try - dangerous arities showstoppers (x : i_n_var :> nf_nob) ; - aux showstoppers xs + f showstoppers (x :> nf_nob) ; + aux f showstoppers tms xs with Dangerous -> - aux (sort_uniq (h::showstoppers)) ps in - - let showstoppers = sort_uniq (aux showstoppers ps) in - let dangerous_conv = - List.map (dangerous_conv p arities showstoppers) (conv :> nf_nob list) in - -prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv)); -List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv; - - let showstoppers' = showstoppers @ List.concat dangerous_conv in - let showstoppers' = sort_uniq (match div with - | None -> showstoppers' - | Some div -> - if List.exists ((=) (hd_of_i_var div)) showstoppers' - then showstoppers' @ free_vars (div :> nf) else showstoppers') in - if showstoppers <> showstoppers' then edible p arities showstoppers' else showstoppers', dangerous_conv + aux f (sort_uniq (h::showstoppers)) tms tms + in + let showstoppers = sort_uniq (aux (dangerous arities) showstoppers p.ps p.ps) in + let dangerous_conv = sort_uniq (aux (dangerous_conv p arities) showstoppers p.conv p.conv) in + + let showstoppers' = showstoppers @ dangerous_conv in + let showstoppers' = sort_uniq (match p.div with + | None -> showstoppers' + | Some div -> + if List.exists ((=) (hd_of_i_var div)) showstoppers' + then showstoppers' @ free_vars (div :> nf) else showstoppers') in + if showstoppers <> showstoppers' then edible p arities showstoppers' else showstoppers' ;; -let precompute_edible_data {ps; div} xs = +let precompute_edible_data {ps; div} = + let heads = uniq (List.sort compare ((match div with None -> [] | Some h -> [hd_of_i_var h]) @ filter_map hd_of ps)) in let aux t = match t with `Var _ -> 0 | `I(_, args) -> Listx.length args | `N _ -> assert false in - (fun l -> match div with - | None -> l - | Some div -> (-1, hd_of_i_var div, aux div) :: l) - (List.map (fun hd -> - let i, tm = Util.findi (fun y -> hd_of y = Some hd) ps in - i, hd, aux tm - ) xs) + List.map (fun hd -> + let i_tm = Util.find_alli (fun y -> hd_of y = Some hd) ps in + let i_tm = match div with Some div when hd_of_i_var div = hd -> (-1, (div :> i_n_var))::i_tm | _ -> i_tm in + let i_ar = List.map (fun (i,tm) -> i,aux tm) i_tm in + (* let's compute the minimal arity *) + match List.sort (fun (_,tm1) (_,tm2) -> compare tm1 tm2) i_ar with + [] -> assert false + | (i,ar)::_ -> i, hd, ar + ) heads ;; +let rec dangerous_for_showstoppers_eat arities = + function + `N _ + | `Var _ + | `Lam _ + | `Pacman -> [] + | `Match(t,_,liftno,bs,args) -> + (* CSC: XXX partial dependency on the encoding *) + (match t with + `N _ -> [] + | `Match _ as t -> dangerous_for_showstoppers_eat arities t + | `Var(x,_) -> dangerous_for_showstoppers_eat_inert arities x [] true + | `I((x,_),args') -> dangerous_for_showstoppers_eat_inert arities x (Listx.to_list args') true + ) @ List.concat (List.map (dangerous_for_showstoppers_eat arities ) args) + | `I((k,_),args) -> dangerous_for_showstoppers_eat_inert arities k (Listx.to_list args) false + +and dangerous_for_showstoppers_eat_inert arities k args in_match = + List.concat (List.map (dangerous_for_showstoppers_eat arities ) args) @ + try + let arity = arity_of arities k in + if in_match && List.length args <> arity then [k] + else if List.length args > arity then [k] + else [] + with + Not_found -> [] + +let multiple_arities p arities = + List.concat (List.map (dangerous_for_showstoppers_eat arities) ((p.ps :> nf_nob list) @ (p.conv :> nf_nob list))) + (** Returns (p, showstoppers_step, showstoppers_eat) where: - showstoppers_step are the heads occurring twice in the same discriminating set - showstoppers_eat are the heads in ps having different number of arguments *) -let critical_showstoppers p = - let p = super_simplify p in +let critical_showstoppers p arities = let hd_of_div = match p.div with None -> [] | Some t -> [hd_of_i_var t] in let showstoppers_step = concat_map (fun bs -> @@ -414,42 +446,29 @@ let critical_showstoppers p = if List.exists (fun t -> [hd_of t] = List.map (fun x -> Some x) hd_of_div) p.conv then hd_of_div else [] in let showstoppers_step = sort_uniq showstoppers_step in - let showstoppers_eat = - let heads_and_arities = - List.sort (fun (k,_) (h,_) -> compare k h) - (filter_map (function `Var(k,_) -> Some (k,0) | `I((k,_),args) -> Some (k,Listx.length args) | _ -> None ) p.ps) in - let rec multiple_arities = - function - [] - | [_] -> [] - | (x,i)::(y,j)::tl when x = y && i <> j -> - x::multiple_arities tl - | _::tl -> multiple_arities tl in - multiple_arities heads_and_arities in - + let showstoppers_eat = multiple_arities p arities in let showstoppers_eat = sort_uniq showstoppers_eat in - let showstoppers_eat = List.filter - (fun x -> not (List.mem x showstoppers_step)) - showstoppers_eat in -List.iter (fun v -> prerr_endline ("DANGEROUS STEP: " ^ (string_of_var p.var_names) v)) showstoppers_step; -List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ (string_of_var p.var_names) v)) showstoppers_eat; + let showstoppers_eat = + List.filter (fun x -> not (List.mem x showstoppers_step)) showstoppers_eat in +prerr_endline ("DANGEROUS STEP: " ^ String.concat " " (List.map (string_of_var p.var_names) showstoppers_step)); +prerr_endline ("DANGEROUS EAT: " ^ String.concat " " (List.map (string_of_var p.var_names) showstoppers_eat)); p, showstoppers_step, showstoppers_eat ;; let eat p = - let ({ps} as p), showstoppers_step, showstoppers_eat = critical_showstoppers p in + let p = super_simplify p in + let arities = precompute_edible_data p in + let ({ps} as p), showstoppers_step, showstoppers_eat = critical_showstoppers p arities in let showstoppers = showstoppers_step @ showstoppers_eat in - let heads = List.sort compare (filter_map hd_of ps) in - let arities = precompute_edible_data p (uniq heads) in - let inedible, showstoppers_conv = edible p arities showstoppers in + let inedible = edible p arities showstoppers in + prerr_endline ("showstoppers (in eat)" ^ String.concat " " (List.map (string_of_var p.var_names) inedible)); let l = List.filter (fun (_,hd,_) -> not (List.mem hd inedible)) arities in - let p = - List.fold_left (fun p (pos,hd,nargs) -> if pos = -1 then p else - let v = `N pos in + let new_sigma = List.map (fun (pos,hd,nargs) -> + let v = if pos = -1 then `Bottom else `N pos in let inst = make_lams v nargs in prerr_endline ("# [INST_IN_EAT] eating: " ^ string_of_var p.var_names hd ^ " := " ^ string_of_term p inst); - { p with sigma = p.sigma @ [hd,inst] } - ) p l in + hd,inst + ) l in (* to avoid applied numbers in safe positions that trigger assert failures subst_in_problem x inst p*) let ps = @@ -459,32 +478,24 @@ prerr_endline ("# [INST_IN_EAT] eating: " ^ string_of_var p.var_names hd ^ " := `N j with Not_found -> t ) ps in - let p = match p.div with - | None -> p - | Some div -> - if List.mem (hd_of_i_var div) inedible - then p - else - let n = match div with `I(_,args) -> Listx.length args | `Var _ -> 0 in - let x = hd_of_i_var div in - let inst = make_lams `Bottom n in - subst_in_problem x inst p in - let dangerous_conv = showstoppers_conv in +(*let dangerous_conv = showstoppers_conv in prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv)); -List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv; +List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv; *) let conv = - List.map (function s,t -> + List.map (function t -> try - if s <> [] then t else ( (match t with | `Var _ -> raise Not_found | _ -> ()); - let _ = List.find (fun h -> hd_of t = Some h) inedible in - t) - with Not_found -> match hd_of t with - | None -> assert (t = convergent_dummy); t - | Some h -> - prerr_endline ("FREEZING " ^ string_of_var p.var_names h); - convergent_dummy - ) (List.combine showstoppers_conv p.conv) in + let _ = List.find (fun h -> hd_of t = Some h) inedible in t + with Not_found -> ( + (match hd_of t with + | None -> assert (t = convergent_dummy) + | Some h -> prerr_endline ("FREEZING " ^ string_of_var p.var_names h)); + convergent_dummy) + ) p.conv in + let div = + match p.div with + None -> None + | Some div -> if List.mem (hd_of_i_var div) inedible then Some div else None in List.iter (fun bs -> bs := @@ -496,7 +507,10 @@ List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p. ) !bs ) p.deltas ; let old_conv = p.conv in - let p = { p with ps; conv } in + let p = { p with ps; conv; div } in + (* In case (match x ... with ...) and we are eating x, + so we need to substitute *) + let p = List.fold_left (fun p (x,inst) -> subst_in_problem x inst p) p new_sigma in if l <> [] || old_conv <> conv then prerr_endline (string_of_problem "eat" p); if List.for_all (function `N _ -> true | _ -> false) ps && p.div = None then @@ -556,11 +570,13 @@ let compute_special_k tms = | `Bottom | `Pacman | `Var _ -> 0 in - Listx.max (Listx.map (fun t -> max (aux 0 t) (aux' true t)) tms) + Listx.max (Listx.map (aux 0) tms) + Listx.max (Listx.map (aux' true) tms) ;; let choose_step p = - let p, showstoppers_step, showstoppers_eat = critical_showstoppers p in + let p = super_simplify p in + let arities = precompute_edible_data p in + let p, showstoppers_step, showstoppers_eat = critical_showstoppers p arities in let x = match showstoppers_step, showstoppers_eat with | [], y::_ -> @@ -582,51 +598,22 @@ let choose_step p = | x::_ -> prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var p.var_names x); x) in -(* Strategy that decreases the special_k to 0 first (round robin) -1:11m42 2:14m5 3:11m16s 4:14m46s 5:12m7s 6:6m31s *) - let x = - try - match - hd_of (List.find (fun t -> - compute_special_k (Listx.Nil (t :> nf)) > 0 && arity_of_hd t > 0 - ) (all_terms p)) - with - | None -> assert false - | Some x -> - prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var p.var_names x); - x - with - Not_found -> - let arity_of_x = max_arity_tms x (all_terms p) in - assert (Util.option_get arity_of_x > 0); - x in -(* Instantiate in decreasing order of compute_special_k -1:15m14s 2:13m14s 3:4m55s 4:4m43s 5:4m34s 6:6m28s 7:3m31s -let x = - try - (match hd_of (snd (List.hd (List.sort (fun c1 c2 -> - compare (fst c1) (fst c2)) (filter_map (function `I _ as t -> Some (compute_special_k (Listx.Nil (t :> nf)),t) | _ -> None) (all_terms p))))) with - None -> assert false - | Some x -> - prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var x); - x) - with - Not_found -> x -in*) let arity_of_x = Util.option_get (max_arity_tms x (all_terms p)) in let safe_arity_of_x = safe_arity_of_var p x in x, min arity_of_x safe_arity_of_x ;; let rec auto_eat p = - prerr_endline "{{{{{{{{ Computing measure before auto_instantiate }}}}}}"; +(* prerr_endline "{{{{{{{{ Computing measure before auto_instantiate }}}}}}"; *) let m = problem_measure p in let x, arity_of = choose_step p in first arity_of p x (fun p j -> let p' = instantiate p x j in + prerr_endline (string_of_problem "after instantiate" p'); match eat p' with | `Finished p -> p | `Continue p -> - prerr_endline "{{{{{{{{ Computing measure inafter auto_instantiate }}}}}}"; +(* prerr_endline "{{{{{{{{ Computing measure inafter auto_instantiate }}}}}}"; *) let delta = problem_measure p - m in if delta >= 0 then @@ -757,23 +744,27 @@ let solve (p, todo) = Backtrack _ -> `Unseparable "backtrack" ;; +let no_bombs_pacmans p = + not (List.exists (eta_subterm `Bottom) (p.ps@p.conv)) + && not (List.exists (eta_subterm `Pacman) p.ps) + && Util.option_map (eta_subterm `Pacman) p.div <> Some true +;; + let check p = - (* TODO check if there are duplicates in p.ps - before it was: ps = sort_uniq ~compare:eta_compare (ps :> nf list) *) - (* FIXME what about initial fragments? *) if (let rec f = function | [] -> false | hd::tl -> List.exists (eta_eq hd) tl || f tl in - f p.ps) + f p.ps) (* FIXME what about initial fragments of numbers? *) then `CompleteUnseparable "ps contains duplicates" (* check if div occurs somewhere in ps@conv *) else if (match p.div with | None -> true | Some div -> not (List.exists (eta_subterm div) (p.ps@p.conv)) - ) && false (* TODO no bombs && pacmans *) + ) && no_bombs_pacmans p then `CompleteSeparable "no bombs, pacmans and div" - else if false (* TODO bombs or div fuori da lambda in ps@conv *) - then `CompleteUnseparable "bombs or div fuori da lambda in ps@conv" + (* il check seguente e' spostato nel parser e lancia un ParsingError *) + (* else if false (* TODO bombs or div fuori da lambda in ps@conv *) + then `CompleteUnseparable "bombs or div fuori da lambda in ps@conv" *) else if p.div = None then `CompleteSeparable "no div" else `Uncomplete