X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=ocaml%2Flambda4.ml;h=a87fe79e9e93a3d106ea30934bc68db48a39efb0;hb=d871825791c63609799bbbef2a60a38ece3bcabf;hp=4108ea57af1773e71c84ff8e25861f82a73e43f7;hpb=f6a7ce917055ee2d750bb0e1bec6617945ea9928;p=fireball-separation.git diff --git a/ocaml/lambda4.ml b/ocaml/lambda4.ml index 4108ea5..a87fe79 100644 --- a/ocaml/lambda4.ml +++ b/ocaml/lambda4.ml @@ -31,22 +31,33 @@ type problem = ; var_names : string list (* names of the original free variables *) };; +let label_of_problem {label} = label;; + +let string_of_var l x = + try + List.nth l x + with Failure "nth" -> "`" ^ string_of_int x +;; +let string_of_term p t = print ~l:p.var_names (t :> nf);; + let all_terms p = (match p.div with None -> [] | Some t -> [(t :> i_n_var)]) @ p.conv @ p.ps ;; -let sum_arities p = +let measure_of_term, measure_of_terms = let rec aux = function | `N _ -> 0 | `Var(_,ar) -> if ar = min_int then 0 else max 0 ar (*assert (ar >= 0); ar*) | `Lam(_,t) -> aux t - | `I(v,args) -> aux (`Var v) + aux_many (Listx.to_list args) - | `Match(u,(_,ar),_,_,args) -> aux (u :> nf) + (if ar = min_int then 0 else ar - 1) + aux_many args + | `I(v,args) -> aux (`Var v) + aux_many (Listx.to_list args :> nf list) + | `Match(u,(_,ar),_,_,args) -> aux (u :> nf) + (if ar <= 0 then 0 else ar - 1) + aux_many args and aux_many tms = List.fold_right ((+) ++ aux) tms 0 in - aux_many (all_terms p :> nf list) - ;; + (fun t -> aux (t :> nf)), (fun l -> aux_many (l :> nf list)) +;; + +let sum_arities p = measure_of_terms (all_terms p) let count_fakevars p = let rec aux = function @@ -66,22 +77,22 @@ 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) = - Console.print_hline (); - prerr_string ("\n(* DISPLAY PROBLEM (" ^ label ^ ") - "); - let nl = "\n" in - let deltas = String.concat (nl^" ") (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in - let l = Array.to_list (Array.init (freshno + 1) string_of_var) in - "measure="^string_of_measure(problem_measure p) (* ^ " freshno = " ^ string_of_int freshno*) - ^ nl ^ " Discriminating sets (deltas):" - ^ nl ^ " " ^ deltas ^ (if deltas = " " then "" else nl) ^ "*)" - ^"(* DIVERGENT *)" ^ nl - ^" "^ (match div with None -> "None" | Some div -> "(Some\""^ print ~l (div :> nf) ^"\")") ^ nl - ^" (* CONVERGENT *) [" ^ nl ^ " " - ^ String.concat "\n " (List.map (fun t -> "(* _ *) " ^ (if t = convergent_dummy then "" else "\""^ print ~l (t :> nf) ^"\";")) conv) ^ - (if conv = [] then "" else nl) - ^ "] (* NUMERIC *) [" ^ nl ^ " " - ^ String.concat "\n " (List.mapi (fun i t -> " (* "^ string_of_int i ^" *) \"" ^ print ~l (t :> nf) ^ "\";") ps) - ^ nl ^ "] [\"*\"];;" ^ nl + 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" ([ + ""; + "# DISPLAY PROBLEM (" ^ label ^ ") " ^ "measure=" ^ string_of_measure (problem_measure p); + if List.length p.deltas > 1 then ( + "# Discriminating sets (deltas):\n" ^ + "# " ^ deltas + ) else "# "; + "#"; + "$" ^ p.label; + (match div with None -> "# no D" | Some div -> "D ("^string_of_int (measure_of_term 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 + @ [""]) ;; @@ -229,12 +240,11 @@ List.iter (fun x -> prerr_endline ("IN2: " ^ print (fst x :> nf))) super_simplif let div = option_map cast_to_i_var div in let ps = List.map cast_to_i_n_var (old_ps @ new_ps) in let conv = List.map cast_to_i_n_var conv in -(let l = Array.to_list (Array.init (freshno + 1) string_of_var) in -prerr_endline ("# INST: " ^ string_of_var x ^ " := " ^ print ~l inst)); let p = {p with freshno; div; conv; ps} in + prerr_endline ("# INST: " ^ string_of_var p.var_names x ^ " := " ^ string_of_term p inst); ( (* check if double substituting a variable *) if List.exists (fun (x',_) -> x = x') sigma - then failwithProblem p ("Variable "^ string_of_var x ^"replaced twice") + then failwithProblem p ("Variable "^ string_of_var p.var_names x ^"replaced twice") ); let p = {p with sigma = sigma@[x,inst]} in let p = super_simplify p in @@ -244,10 +254,9 @@ prerr_endline ("# INST: " ^ string_of_var x ^ " := " ^ print ~l inst)); exception Dangerous -let arity_of arities k = - let _,pos,y = List.find (fun (v,_,_) -> v=k) arities in - let arity = match y with `Var _ -> 0 | `I(_,args) -> Listx.length args | `N _ -> assert false in - arity + if pos = -1 then - 1 else 0 +let arity_of arities hd = + let pos,_,nargs = List.find (fun (_,hd',_) -> hd=hd') arities in + nargs + if pos = -1 then - 1 else 0 ;; let rec dangerous arities showstoppers = @@ -275,7 +284,7 @@ and dangerous_inert arities showstoppers k args more_args = Not_found -> () (* cut & paste from above *) -let rec dangerous_conv arities showstoppers = +let rec dangerous_conv p arities showstoppers = function `N _ | `Var _ @@ -283,21 +292,22 @@ let rec dangerous_conv arities showstoppers = | `Match(t,_,liftno,bs,args) -> (* CSC: XXX partial dependency on the encoding *) (match t with - `N _ -> concat_map (dangerous_conv arities showstoppers) args - | `Match _ as t -> dangerous_conv arities showstoppers t @ concat_map (dangerous_conv arities showstoppers) args - | `Var(x,_) -> dangerous_inert_conv arities showstoppers x [] args 2 - | `I((x,_),args') -> dangerous_inert_conv arities showstoppers x (Listx.to_list args') args 2 + `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 + | `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 ) - | `I((k,_),args) -> dangerous_inert_conv arities showstoppers k (Listx.to_list args) [] 0 + | `I((k,_),args) -> dangerous_inert_conv p arities showstoppers k (Listx.to_list args) [] 0 -and dangerous_inert_conv arities showstoppers k args match_args more_args = +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 arities showstoppers) all_args in + let dangerous_args = concat_map (dangerous_conv p arities showstoppers) all_args in + 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 k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args); +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 @@ -305,7 +315,7 @@ prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_ ) else k :: concat_map free_vars all_args (* inefficient algorithm *) -let rec edible arities div ps conv showstoppers = +let rec edible ({div; conv; ps} as p) arities showstoppers = let rec aux showstoppers = function [] -> showstoppers @@ -330,10 +340,10 @@ let rec edible arities div ps conv showstoppers = in let showstoppers = sort_uniq (aux showstoppers ps) in let dangerous_conv = - List.map (dangerous_conv arities showstoppers) (conv :> nf list) in + List.map (dangerous_conv p arities showstoppers) (conv :> nf 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 l))) 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 @@ -341,15 +351,18 @@ List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l)) | 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 arities div ps conv showstoppers' else showstoppers', dangerous_conv + if showstoppers <> showstoppers' then edible p arities showstoppers' else showstoppers', dangerous_conv ;; let precompute_edible_data {ps; div} xs = - (match div with None -> [] | Some div -> [hd_of_i_var div, -1, (div :> i_n_var)]) @ - List.map (fun hd -> + 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 - hd, i, tm - ) xs + i, hd, aux tm + ) xs) ;; let critical_showstoppers p = @@ -381,8 +394,8 @@ let critical_showstoppers p = 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 v)) showstoppers_step; - List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ string_of_var v)) showstoppers_eat; + 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; p, showstoppers_step, showstoppers_eat ;; @@ -391,31 +404,28 @@ let eat p = 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 showstoppers, showstoppers_conv = - edible arities p.div ps p.conv showstoppers in - let l = List.filter (fun (x,_,_) -> not (List.mem x showstoppers)) arities in + let inedible, showstoppers_conv = edible p arities showstoppers in + let l = List.filter (fun (_,hd,_) -> not (List.mem hd inedible)) arities in let p = - List.fold_left (fun p (x,pos,(xx : i_n_var)) -> if pos = -1 then p else - let n = match xx with `I(_,args) -> Listx.length args | _ -> 0 in - let v = `N(pos) in - let inst = make_lams v n in -(let l = Array.to_list (Array.init (p.freshno + 1) string_of_var) in -prerr_endline ("# INST_IN_EAT: " ^ string_of_var x ^ " := " ^ print ~l inst)); - { p with sigma = p.sigma @ [x,inst] } + List.fold_left (fun p (pos,hd,nargs) -> if pos = -1 then p else + let v = `N pos in + let inst = make_lams v nargs in +prerr_endline ("# INST_IN_EAT: " ^ string_of_var p.var_names hd ^ " := " ^ string_of_term p inst); + { p with sigma = p.sigma @ [hd,inst] } ) p l in (* to avoid applied numbers in safe positions that trigger assert failures subst_in_problem x inst p*) let ps = List.map (fun t -> try - let _,j,_ = List.find (fun (h,_,_) -> hd_of t = Some h) l in + let j,_,_ = List.find (fun (_,hd,_) -> hd_of t = Some hd) l in `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) showstoppers + 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 @@ -428,24 +438,23 @@ prerr_endline ("# INST_IN_EAT: " ^ string_of_var x ^ " := " ^ print ~l inst)); prerr_endline ("Just created bomb var: " ^ string_of_nf !bomb); let x = hd_of_i_var div in let inst = make_lams !bomb n in - prerr_endline ("# INST (div): " ^ string_of_var x ^ " := " ^ string_of_nf inst); let p = {p with div=None} in (* subst_in_problem (hd_of_i_var div) inst p in *) {p with sigma=p.sigma@[x,inst]} in let dangerous_conv = showstoppers_conv in -let _ = 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 l))) dangerous_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; let conv = List.map (function s,t -> try if s <> [] then t else ( (match t with | `Var _ -> raise Not_found | _ -> ()); - let _ = List.find (fun h -> hd_of t = Some h) showstoppers 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); t | Some h -> - prerr_endline ("FREEZING " ^ string_of_var h); + prerr_endline ("FREEZING " ^ string_of_var p.var_names h); convergent_dummy ) (List.combine showstoppers_conv p.conv) in List.iter @@ -504,7 +513,7 @@ let auto_instantiate (n,p) = let x = match showstoppers_step, showstoppers_eat with | [], y::_ -> - prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var y); y + prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var p.var_names y); y | [], [] -> let heads = (* Choose only variables still alive (with arity > 0) *) @@ -518,10 +527,10 @@ let auto_instantiate (n,p) = with Not_found -> assert false) | x::_ -> - prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var x); + prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var p.var_names x); x) | x::_, _ -> - prerr_endline ("INSTANTIATING " ^ string_of_var x); + prerr_endline ("INSTANTIATING " ^ 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 *) @@ -534,7 +543,7 @@ let auto_instantiate (n,p) = with | None -> assert false | Some x -> - prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var x); + prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var p.var_names x); x with Not_found -> @@ -673,7 +682,8 @@ type result = [ ] let check p = - (* check if there are duplicates in p.ps *) + (* 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 @@ -699,96 +709,56 @@ let solve p = let p_finale = auto p p.initialSpecialK in let freshno,sigma = p_finale.freshno, p_finale.sigma in prerr_endline ("------- ------ measure=. \n "); - let l = Array.to_list (Array.init (freshno + 1) string_of_var) in - List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma; - - prerr_endline "-------------------"; - let sigma = optimize_numerals p_finale in (* optimize numerals *) - let l = Array.to_list (Array.init (freshno + 1) string_of_var) in - List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma; - - prerr_endline "------------------"; - let t_of_nf t = ToScott.t_of_nf (t :> nf) in - let div = option_map t_of_nf p.div in - let conv = List.map t_of_nf p.conv in - let ps = List.map t_of_nf p.ps in - - let sigma' = List.map (fun (x,inst) -> x, ToScott.t_of_nf inst) sigma in - let e' = env_of_sigma freshno sigma' false (* FIXME shoudl_explode *) in - - prerr_endline "-----------------"; - let pure_bomb = ToScott.t_of_nf (!bomb) in (* Pure.B *) - (function Some div -> - print_endline (Pure.print div); - let t = Pure.mwhd (e',div,[]) in - prerr_endline ("*:: " ^ (Pure.print t)); - assert (t = pure_bomb) - | None -> ()) div; - List.iter (fun n -> - verbose ("_::: " ^ (Pure.print n)); - let t = Pure.mwhd (e',n,[]) in - verbose ("_:: " ^ (Pure.print t)); - assert (t <> pure_bomb) - ) conv ; - List.iteri (fun i n -> - verbose ((string_of_int i) ^ "::: " ^ (Pure.print n)); - let t = Pure.mwhd (e',n,[]) in - verbose ((string_of_int i) ^ ":: " ^ (Pure.print t)); - assert (t = Scott.mk_n i) - ) ps ; - prerr_endline "-------- --------"; - `Separable p_finale.sigma + List.iter (fun (x,inst) -> prerr_endline + (string_of_var p_finale.var_names x ^ " := " ^ string_of_term p_finale inst)) sigma; + + prerr_endline "-------------------"; + let sigma = optimize_numerals p_finale in (* optimize numerals *) + List.iter (fun (x,inst) -> prerr_endline + (string_of_var p_finale.var_names x ^ " := " ^ string_of_term p_finale inst)) sigma; + + prerr_endline "------------------"; + let scott_of_nf t = ToScott.t_of_nf (t :> nf) in + let div = option_map scott_of_nf p.div in + let conv = List.map scott_of_nf p.conv in + let ps = List.map scott_of_nf p.ps in + + let sigma' = List.map (fun (x,inst) -> x, scott_of_nf inst) sigma in + let e' = env_of_sigma freshno sigma' false (* FIXME shoudl_explode *) in + + prerr_endline "-----------------"; + let pure_bomb = ToScott.t_of_nf (!bomb) in (* Pure.B *) + (function + | Some div -> + print_endline (Pure.print div); + let t = Pure.mwhd (e',div,[]) in + prerr_endline ("*:: " ^ (Pure.print t)); + assert (t = pure_bomb) + | None -> ()) div; + List.iter (fun n -> + verbose ("_::: " ^ (Pure.print n)); + let t = Pure.mwhd (e',n,[]) in + verbose ("_:: " ^ (Pure.print t)); + assert (t <> pure_bomb) + ) conv ; + List.iteri (fun i n -> + verbose ((string_of_int i) ^ "::: " ^ (Pure.print n)); + let t = Pure.mwhd (e',n,[]) in + verbose ((string_of_int i) ^ ":: " ^ (Pure.print t)); + assert (t = Scott.mk_n i) + ) ps ; + prerr_endline "-------- --------"; + `Separable p_finale.sigma ;; -let zero = `Var(0,0);; - -let append_zero = - function - | `I _ - | `Var _ as i -> cast_to_i_n_var (mk_app i zero) - | `N _ -> raise (Parser.ParsingError " numbers in ps") -;; - -let tmp (label, div, conv, nums, var_names) = - (* DA SPOSTARE NEI TEST: *) - let ps = List.map append_zero nums in (* crea lista applicando zeri o dummies *) - let ps = sort_uniq ~compare:eta_compare (ps :> nf list) in - let ps = List.map (cast_to_i_n_var) ps in - - (* TODO: *) - (* replace div with bottom in problem??? *) - let special_k = - let all_tms = (match div with None -> [] | Some div -> [(div :> i_n_var)]) @ nums @ conv in - compute_special_k (Listx.from_list (all_tms :> nf list)) in (* compute initial special K *) +let problem_of (label, div, conv, ps, var_names) = + (* TODO: replace div with bottom in problem??? *) + let all_tms = (match div with None -> [] | Some div -> [(div :> i_n_var)]) @ ps @ conv in + if all_tms = [] then failwith "problem_of: empty problem"; + let initialSpecialK = compute_special_k (Listx.from_list (all_tms :> nf list)) in let freshno = List.length var_names in let deltas = let dummy = `Var (max_int / 2, -666) in [ ref (Array.to_list (Array.init (List.length ps) (fun i -> i, dummy))) ] in - {freshno; div; conv; ps; sigma=[]; deltas; initialSpecialK=special_k; var_names; label} -;; - -let problem_of ~div ~conv ~nums = - let all_tms = (match div with None -> [] | Some div -> [div]) @ nums @ conv in - let all_tms, var_names = Parser.parse' all_tms in - let div, (ps, conv) = match div with - | None -> None, list_cut (List.length nums, all_tms) - | Some _ -> Some (List.hd all_tms), list_cut (List.length nums, List.tl all_tms) in - - let div = - match div with - | None -> None - | Some (`I _ as t) -> Some t - | _ -> raise (Parser.ParsingError "div is not an inert or BOT in the initial problem") in - let conv = Util.filter_map ( - function - | #i_n_var as t -> Some t - | `Lam _ -> None - | _ -> raise (Parser.ParsingError "A term in conv is not i_n_var") - ) conv in - let ps = List.map ( - function - | #i_n_var as y -> y - | _ -> raise (Parser.ParsingError "A term in num is not i_n_var") - ) ps in - tmp("missing label", div, conv, ps, var_names) + {freshno; div; conv; ps; sigma=[]; deltas; initialSpecialK; var_names; label} ;;