6 let bomb = ref(`Var(-1,-666));;
10 ; div: i_var option (* None = bomb *)
11 ; conv: i_n_var list (* the inerts that must converge *)
12 ; ps: i_n_var list (* the n-th inert must become n *)
13 ; sigma: (int * nf) list (* the computed substitution *)
14 ; deltas: (int * nf) list ref list (* collection of all branches *)
18 (match p.div with None -> [] | Some t -> [(t :> i_n_var)])
23 let problem_measure p = 0 ;;
25 let print_problem label ({freshno; div; conv; ps; deltas} as p) =
26 Console.print_hline ();
27 prerr_endline ("\n||||| Displaying problem: " ^ label ^ " |||||");
29 let deltas = String.concat nl (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in
30 let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
31 nl ^ "measure="^string_of_int(problem_measure p)^" freshno = " ^ string_of_int freshno
32 ^ nl ^ "\b> DISCRIMINATING SETS (deltas)"
33 ^ nl ^ deltas ^ (if deltas = "" then "" else nl)
34 ^ "\b> DIVERGENT" ^ nl
35 ^ "*: " ^ (match div with None -> "*" | Some div -> print ~l (div :> nf)) ^ "\n| "
36 ^ "\b> CONVERGENT" ^ nl
37 ^ String.concat "\n| " (List.map (fun t -> "_: " ^ (if t = `N (-1) then "_" else print ~l (t :> nf))) conv) ^
38 (if conv = [] then "" else "\n| ")
40 ^ String.concat "\n| " (List.mapi (fun i t -> string_of_int i ^ ": " ^ print ~l (t :> nf)) ps)
45 let failwithProblem p reason =
46 print_endline (print_problem "FAIL" p);
50 let make_fresh_var p arity =
51 let freshno = p.freshno + 1 in
52 {p with freshno}, `Var(freshno,arity)
55 let make_fresh_vars p arities =
57 (fun arity (p, vars) -> let p, var = make_fresh_var p arity in p, var::vars)
62 let simple_expand_match ps =
63 let rec aux level = function
64 | #i_num_var as t -> aux_i_num_var level t
65 | `Lam(b,t) -> `Lam(b,aux (level+1) t)
66 and aux_i_num_var level = function
67 | `Match(u,v,bs_lift,bs,args) as torig ->
68 let u = aux_i_num_var level u in
69 bs := List.map (fun (n, x) -> n, aux 0 x) !bs;
73 let i = index_of (lift (-level) u) (ps :> nf list) (* can raise Not_found *)
74 in let t = mk_match (`N i) v bs_lift bs args in
78 | _ -> raise Not_found)
80 `Match(cast_to_i_num_var u,v,bs_lift,bs,List.map (aux level) args))
81 | `I(v,args) -> `I(v,Listx.map (aux level) args)
82 | `N _ | `Var _ as t -> t
87 let rec aux x = let x' = f x in if x <> x' then aux x' else x in aux
90 let rec super_simplify_ps ps =
91 fixpoint (List.map (cast_to_i_num_var ++ (simple_expand_match ps)))
94 let super_simplify ({div; ps; conv} as p) =
95 let ps = super_simplify_ps p.ps (p.ps :> i_num_var list) in
96 let conv = super_simplify_ps ps (p.conv :> i_num_var list) in
97 let div = option_map (fun div ->
98 let divs = super_simplify_ps p.ps ([div] :> i_num_var list) in
100 {p with div=option_map cast_to_i_var div; ps=List.map cast_to_i_n_var ps; conv=List.map cast_to_i_n_var conv}
102 exception ExpandedToLambda;;
104 let subst_in_problem x inst ({freshno; div; conv; ps; sigma} as p) =
105 let len_ps = List.length ps in
106 (*(let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
107 prerr_endline ("# INST0: " ^ string_of_var x ^ " := " ^ print ~l inst));*)
108 let rec aux ((freshno,acc_ps,acc_new_ps) as acc) =
112 (*prerr_endline ("EXPAND t:" ^ print (t :> nf));*)
113 let t = subst false false x inst (t :> nf) in
114 (*prerr_endline ("SUBSTITUTED t:" ^ print (t :> nf));*)
115 let freshno,new_t,acc_new_ps =
116 expand_match (freshno,acc_ps@`Var(max_int/3,-666)::todo_ps,acc_new_ps) t
118 aux (freshno,acc_ps@[new_t],acc_new_ps) todo_ps
120 (* cut&paste from aux above *)
121 and aux' ps ((freshno,acc_conv,acc_new_ps) as acc) =
125 (*prerr_endline ("EXPAND t:" ^ print (t :> nf));*)
127 let t = subst false false x inst (t :> nf) in
128 (*prerr_endline ("SUBSTITUTED t:" ^ print (t :> nf));*)
129 let freshno,new_t,acc_new_ps =
130 expand_match (freshno,ps,acc_new_ps) t
132 aux' ps (freshno,acc_conv@[new_t],acc_new_ps) todo_conv
133 (* with ExpandedToLambda -> aux' ps (freshno,acc_conv@[`N(-1)],acc_new_ps) todo_conv *)
135 (* cut&paste from aux' above *)
136 and aux'' ps (freshno,acc_new_ps) =
138 | None -> freshno, None, acc_new_ps
140 let t = subst false false x inst (t :> nf) in
141 let freshno,new_t,acc_new_ps =
142 expand_match (freshno,ps,acc_new_ps) t
144 freshno,Some new_t,acc_new_ps
146 and expand_match ((freshno,acc_ps,acc_new_ps) as acc) t =
148 | `Match(u',orig,bs_lift,bs,args) ->
149 let freshno,u,acc_new_ps = expand_match acc (u' :> nf) in
152 | `N i -> acc_new_ps,i
154 let ps = List.map (fun t -> cast_to_i_num_var (subst false false x inst (t:> nf))) (acc_ps@acc_new_ps) in
155 let super_simplified_ps = super_simplify_ps ps ps in
156 (*prerr_endline ("CERCO u:" ^ print (fst u :> nf));
157 List.iter (fun x -> prerr_endline ("IN: " ^ print (fst x :> nf))) ps;
158 List.iter (fun x -> prerr_endline ("IN2: " ^ print (fst x :> nf))) super_simplified_ps;*)
159 match index_of_opt ~eq:eta_eq super_simplified_ps u with
160 Some i -> acc_new_ps, i
161 | None -> acc_new_ps@[u], len_ps + List.length acc_new_ps
164 if List.exists (fun (j,_) -> i=j) !bs then
167 let freshno,v = freshno+1, `Var (freshno+1, snd orig - 1) in (* make_fresh_var freshno in *)
170 (*prerr_endlie ("t DA RIDURRE:" ^ print (`Match(`N i,arity,bs_lift,bs,args) :> nf) ^ " more_args=" ^ string_of_int more_args);*)
171 let t = mk_match (`N i) orig bs_lift bs args in
172 (*prerr_endline ("NUOVO t:" ^ print (fst t :> nf) ^ " more_args=" ^ string_of_int (snd t));*)
173 expand_match (freshno,acc_ps,acc_new_ps) t
174 | `Lam _ -> raise ExpandedToLambda
176 let x = simple_expand_match (acc_ps@acc_new_ps) x in
177 freshno,cast_to_i_num_var x,acc_new_ps in
179 let freshno,old_ps,new_ps = aux (freshno,[],[]) (ps :> i_num_var list) in
180 let freshno,conv,new_ps = aux' old_ps (freshno,[],new_ps) (conv :> i_num_var list) in
181 let freshno,div,new_ps = aux'' old_ps (freshno,new_ps) (div :> i_num_var option) in
182 let div = option_map cast_to_i_var div in
183 let ps = List.map cast_to_i_n_var (old_ps @ new_ps) in
184 let conv = List.map cast_to_i_n_var conv in
185 (let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
186 prerr_endline ("# INST: " ^ string_of_var x ^ " := " ^ print ~l inst));
187 let p = {p with freshno; div; conv; ps} in
188 ( (* check if double substituting a variable *)
189 if List.exists (fun (x',_) -> x = x') sigma
190 then failwithProblem p "Variable replaced twice"
192 let p = {p with sigma = sigma@[x,inst]} in
193 let p = super_simplify p in
194 prerr_endline (print_problem "instantiate" p);
200 let arity_of arities k =
201 let _,pos,y = List.find (fun (v,_,_) -> v=k) arities in
202 let arity = match y with `Var _ -> 0 | `I(_,args) -> Listx.length args | _ -> assert false in
203 arity + if pos = -1 then - 1 else 0
206 let rec dangerous arities showstoppers =
211 | `Match(t,_,liftno,bs,args) ->
212 (* CSC: XXX partial dependency on the encoding *)
214 `N _ -> List.iter (dangerous arities showstoppers) args
215 | `Match _ as t -> dangerous arities showstoppers t ; List.iter (dangerous arities showstoppers) args
216 | `Var(x,_) -> dangerous_inert arities showstoppers x args 2 (* 2 coming from Scott's encoding *)
217 | `I((x,_),args') -> dangerous_inert arities showstoppers x (Listx.to_list args' @ args) 2 (* 2 coming from Scott's encoding *)
219 | `I((k,_),args) -> dangerous_inert arities showstoppers k (Listx.to_list args) 0
221 and dangerous_inert arities showstoppers k args more_args =
222 List.iter (dangerous arities showstoppers) args ;
223 if List.mem k showstoppers then raise Dangerous else
225 let arity = arity_of arities k in
226 if List.length args + more_args > arity then raise Dangerous else ()
230 (* cut & paste from above *)
231 let rec dangerous_conv arities showstoppers =
236 | `Match(t,_,liftno,bs,args) ->
237 (* CSC: XXX partial dependency on the encoding *)
239 `N _ -> concat_map (dangerous_conv arities showstoppers) args
240 | `Match _ as t -> dangerous_conv arities showstoppers t @ concat_map (dangerous_conv arities showstoppers) args
241 | `Var(x,_) -> dangerous_inert_conv arities showstoppers x args 2 (* 2 coming from Scott's encoding *)
242 | `I((x,_),args') -> dangerous_inert_conv arities showstoppers x (Listx.to_list args' @ args) 2 (* 2 coming from Scott's encoding *)
244 | `I((k,_),args) -> dangerous_inert_conv arities showstoppers k (Listx.to_list args) 0
246 and dangerous_inert_conv arities showstoppers k args more_args =
247 concat_map (dangerous_conv arities showstoppers) args @
248 if List.mem k showstoppers then k :: concat_map free_vars args else
250 let arity = arity_of arities k in
251 prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var k ^ " listlenargs=" ^ (string_of_int (List.length args)) );
252 if List.length args + more_args > arity then k :: concat_map free_vars args else []
256 (* inefficient algorithm *)
257 let rec edible arities div ps conv showstoppers =
258 let rec aux showstoppers =
261 | x::xs when List.exists (fun y -> hd_of x = Some y) showstoppers ->
262 (* se la testa di x e' uno show-stopper *)
263 let new_showstoppers = sort_uniq (showstoppers @ free_vars (x :> nf)) in
264 (* aggiungi tutte le variabili libere di x *)
265 if List.length showstoppers <> List.length new_showstoppers then
266 aux new_showstoppers ps
271 None -> aux showstoppers xs
274 dangerous arities showstoppers (x : i_n_var :> nf) ;
278 aux (sort_uniq (h::showstoppers)) ps
280 let showstoppers = sort_uniq (aux showstoppers ps) in
282 List.map (dangerous_conv arities showstoppers) (conv :> nf list) in
284 prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv));
285 List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l))) dangerous_conv;
286 let showstoppers' = showstoppers @ List.concat dangerous_conv in
287 let showstoppers' = sort_uniq (match div with
288 | None -> showstoppers'
290 if List.exists ((=) (hd_of_i_var div)) showstoppers'
291 then showstoppers' @ free_vars (div :> nf) else showstoppers') in
292 if showstoppers <> showstoppers' then edible arities div ps conv showstoppers' else showstoppers', dangerous_conv
295 let precompute_edible_data {ps; div} xs =
296 (match div with None -> [] | Some div -> [hd_of_i_var div, -1, (div :> i_n_var)]) @
298 let i, tm = Util.findi (fun y -> hd_of y = Some hd) ps in
303 let critical_showstoppers p =
304 let p = super_simplify p in
305 let hd_of_div = match p.div with None -> [] | Some t -> [hd_of_i_var t] in
306 let showstoppers_step =
307 concat_map (fun bs ->
308 let heads = List.map (fun (i,_) -> List.nth p.ps i) !bs in
309 let heads = List.sort compare (hd_of_div @ filter_map hd_of heads) in
310 snd (split_duplicates heads)
312 if List.exists (fun t -> [hd_of t] = List.map (fun x -> Some x) hd_of_div) p.conv
313 then hd_of_div else [] in
314 let showstoppers_step = sort_uniq showstoppers_step in
315 let showstoppers_eat =
316 let heads_and_arities =
317 List.sort (fun (k,_) (h,_) -> compare k h)
318 (filter_map (function `Var(k,_) -> Some (k,0) | `I((k,_),args) -> Some (k,Listx.length args) | _ -> None ) p.ps) in
319 let rec multiple_arities =
323 | (x,i)::(y,j)::tl when x = y && i <> j ->
324 x::multiple_arities tl
325 | _::tl -> multiple_arities tl in
326 multiple_arities heads_and_arities in
328 let showstoppers_eat = sort_uniq showstoppers_eat in
329 let showstoppers_eat = List.filter
330 (fun x -> not (List.mem x showstoppers_step))
332 List.iter (fun v -> prerr_endline ("DANGEROUS STEP: " ^ string_of_var v)) showstoppers_step;
333 List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ string_of_var v)) showstoppers_eat;
334 p, showstoppers_step, showstoppers_eat
338 let ({ps} as p), showstoppers_step, showstoppers_eat = critical_showstoppers p in
339 let showstoppers = showstoppers_step @ showstoppers_eat in
340 let heads = List.sort compare (filter_map hd_of ps) in
341 let arities = precompute_edible_data p (uniq heads) in
342 let showstoppers, showstoppers_conv =
343 edible arities p.div ps p.conv showstoppers in
344 let l = List.filter (fun (x,_,_) -> not (List.mem x showstoppers)) arities in
346 List.fold_left (fun p (x,pos,(xx : i_n_var)) -> if pos = -1 then p else
347 let n = match xx with `I(_,args) -> Listx.length args | _ -> 0 in
349 let inst = make_lams v n in
350 (let l = Array.to_list (Array.init (p.freshno + 1) string_of_var) in
351 prerr_endline ("# INST_IN_EAT: " ^ string_of_var x ^ " := " ^ print ~l inst));
352 { p with sigma = p.sigma @ [x,inst] }
354 (* to avoid applied numbers in safe positions that
355 trigger assert failures subst_in_problem x inst p*)
359 let _,j,_ = List.find (fun (h,_,_) -> hd_of t = Some h) l in
363 let p = match p.div with
366 if List.mem (hd_of_i_var div) showstoppers
369 let n = match div with `I(_,args) -> Listx.length args | `Var _ -> 0 in
370 let p, bomb' = make_fresh_var p (-666) in
371 (if !bomb <> `Var (-1,-666) then
373 ("Bomb was duplicated! It was " ^ string_of_nf !bomb ^
374 ", tried to change it to " ^ string_of_nf bomb'));
376 prerr_endline ("Just created bomb var: " ^ string_of_nf !bomb);
377 let x = hd_of_i_var div in
378 let inst = make_lams !bomb n in
379 prerr_endline ("# INST (div): " ^ string_of_var x ^ " := " ^ string_of_nf inst);
380 let p = {p with div=None} in
381 (* subst_in_problem (hd_of_i_var div) inst p in *)
382 {p with sigma=p.sigma@[x,inst]} in
383 let dangerous_conv = showstoppers_conv in
384 let _ = prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv));
385 List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l))) dangerous_conv; in
387 List.map (function s,t ->
389 if s <> [] then t else (
390 (match t with | `Var _ -> raise Not_found | _ -> ());
391 let _ = List.find (fun h -> hd_of t = Some h) showstoppers in
393 with Not_found -> match hd_of t with
394 | None -> assert (t = `N ~-1); t
396 prerr_endline ("FREEZING " ^ string_of_var h);
397 `N ~-1 (* convergent dummy*)
398 ) (List.combine showstoppers_conv p.conv) in
404 match List.nth ps n with
409 let old_conv = p.conv in
410 let p = { p with ps; conv } in
411 if l <> [] || old_conv <> conv
412 then prerr_endline (print_problem "eat" p);
413 if List.for_all (function `N _ -> true | _ -> false) ps && p.div = None then
418 let instantiate p x n =
419 (if hd_of_i_var (cast_to_i_var !bomb) = x
420 then failwithProblem p ("BOMB (" ^ string_of_nf !bomb ^ ") cannot be instantiated!"));
421 let arity_of_x = max_arity_tms x (all_terms p) in
422 (if arity_of_x = None then failwithProblem p "step on var non occurring in problem");
423 (if Util.option_get(arity_of_x) = min_int then failwithProblem p "step on fake variable");
424 (if Util.option_get(arity_of_x) <= 0 then failwithProblem p "step on var of non-positive arity");
425 (* AC: Once upon a time, it was:
426 let arities = Num.compute_arities x (n+1) (all_terms p :> nf list) in *)
427 (* let arities = Array.to_list (Array.make (n+1) 0) in *)
428 let arities = Array.to_list (Array.make (n+1) min_int) in
429 let p,vars = make_fresh_vars p arities in
430 let args = Listx.from_list (vars :> nf list) in
432 (* 666, since it will be replaced anyway during subst: *)
433 let inst = `Lam(false,`Match(`I((0,n+2),Listx.map (lift 1) args),(x,666),1,bs,[])) in
434 let p = {p with deltas=bs::p.deltas} in
435 subst_in_problem x inst p
438 let compute_special_k tms =
439 let rec aux k (t: nf) = Pervasives.max k (match t with
440 | `Lam(b,t) -> aux (k + if b then 1 else 0) t
441 | `I(n, tms) -> Listx.max (Listx.map (aux 0) tms)
442 | `Match(t, _, liftno, bs, args) ->
443 List.fold_left max 0 (List.map (aux 0) ((t :> nf)::args@List.map snd !bs))
446 ) in Listx.max (Listx.map (aux 0) tms)
449 let auto_instantiate (n,p) =
450 let p, showstoppers_step, showstoppers_eat = critical_showstoppers p in
452 match showstoppers_step, showstoppers_eat with
454 prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var y); y
457 List.sort compare (filter_map (
458 fun t -> match t with `Var _ -> None | x -> if arity_of_hd x < 0 then None else hd_of x
459 ) ((match p.div with Some t -> [(t :> i_n_var)] | _ -> []) @ p.ps)) in
463 prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var x);
466 prerr_endline ("INSTANTIATING " ^ string_of_var x);
468 (* Strategy that decreases the special_k to 0 first (round robin)
469 1:11m42 2:14m5 3:11m16s 4:14m46s 5:12m7s 6:6m31s *)
472 match hd_of (List.find (fun t ->
473 compute_special_k (Listx.Nil (t :> nf)) > 0 && arity_of_hd t >= 0
474 ) (all_terms p)) with
477 prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var x);
482 (* Instantiate in decreasing order of compute_special_k
483 1:15m14s 2:13m14s 3:4m55s 4:4m43s 5:4m34s 6:6m28s 7:3m31s
486 (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
489 prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var x);
495 compute_special_k (Listx.from_list (all_terms p :> nf list) )in
496 if special_k < n then
497 prerr_endline ("@@@@ NEW INSTANTIATE PHASE (" ^ string_of_int special_k ^ ") @@@@");
498 let p = instantiate p x special_k in
502 let rec auto_eat (n,({ps} as p)) =
503 prerr_endline "{{{{{{{{ Computing measure before auto_instantiate }}}}}}";
504 let m = problem_measure p in
505 let (n,p') = auto_instantiate (n,p) in
509 prerr_endline "{{{{{{{{ Computing measure inafter auto_instantiate }}}}}}";
510 let delta = m - problem_measure p' in
512 (* failwithProblem p' *)
514 ("Measure did not decrease (delta=" ^ string_of_int delta ^ ")"))
515 else prerr_endline ("$ Measure decreased by " ^ string_of_int delta);
520 prerr_endline ("@@@@ FIRST INSTANTIATE PHASE (" ^ string_of_int n ^ ") @@@@");
523 | `Continue p -> auto_eat (n,p)
529 x y = y 0 a y = k k z = z 0 c y = k y u = u h1 h2 0 h2 a = h3
530 1 x a c 1 a 0 c 1 k c 1 c 0 1 k 1 k 1 k
531 2 x a y 2 a 0 y 2 k y 2 y 0 2 y 0 2 h2 0 2 h3
532 3 x b y 3 b 0 y 3 b 0 y 3 b 0 y 3 b 0 y 3 b 0 (\u. u h1 h2 0) 3 b 0 (\u. u h1 (\w.h3) 0)
533 4 x b c 4 b 0 c 4 b 0 c 4 b 0 c 4 b 0 c 4 b 0 c 4 b 0 c
534 5 x (b e) 5 b e 0 5 b e 0 5 b e 0 5 b e 0 5 b e 0 5 b e 0
535 6 y y 6 y y 6 y y 6 y y 6 y y 6 h1 h1 h2 0 h2 0 6 h1 h1 (\w. h3) 0 (\w. h3) 0
538 b u = u l1 l2 0 e _ _ _ _ = f l3 n = n j 0
541 3 l2 0 (\u. u h1 (\w. h3) 0) 3 l3 (\u. u h1 (\w. h3) 0) 3 j h1 (\w. h3) 0 0
542 4 l2 0 c 4 l3 c 4 c j 0
543 5 e l1 l2 0 0 5 f 5 f
544 6 h1 h1 (\w. h3) 0 (\w. h3) 0 6 h1 h1 (\w. h3) 0 (\w. h3) 0 6 h1 h1 (\w. h3) 0 (\w. h3) 0
549 x a (b (a c)) a 0 = 1 ? (b (a c)) 8
550 x a (b d') a 0 = 1 ? (b d') 7
551 x b (a c) b 0 = 1 ? (a c) 4
552 x b (a c') b 0 = 1 ? (a c') 5
560 b 4 = 8 (* b (a c) *)
565 (************** Tests ************************)
567 let optimize_numerals p =
568 let replace_in_sigma perm =
569 let rec aux = function
570 | `N n -> `N (List.nth perm n)
571 | `I _ -> assert false
573 | `Lam(v,t) -> `Lam(v, aux t)
574 | `Match(_,_,_,bs,_) as t -> (bs := List.map (fun (n,t) -> (List.nth perm n, t)) !bs); t
575 in List.map (fun (n,t) -> (n,aux t))
577 let deltas' = List.mapi (fun n d -> (n, List.map fst !d)) p.deltas in
578 let maxs = Array.to_list (Array.init (List.length deltas') (fun _ -> 0)) in
579 let max = List.fold_left max 0 (concat_map snd deltas') in
580 let perm,_ = List.fold_left (fun (perm, maxs) (curr_n:int) ->
581 let containing = filter_map (fun (i, bs) -> if List.mem curr_n bs then Some i else None) deltas' in
582 (* (prerr_endline (string_of_int curr_n ^ " occurs in: " ^ (String.concat " " (List.map string_of_int containing)))); *)
583 let neww = List.fold_left Pervasives.max 0 (List.mapi (fun n max -> if List.mem n containing then max else 0) maxs) in
584 let maxs = List.mapi (fun i m -> if List.mem i containing then neww+1 else m) maxs in
586 ) ([],maxs) (Array.to_list (Array.init (max+1) (fun x -> x))) in
587 replace_in_sigma (List.rev perm) p.sigma
590 let env_of_sigma freshno sigma should_explode =
597 e,Pure.lift (-n-1) (snd (List.find (fun (i,_) -> i = n) sigma)),[]
600 if should_explode && n = hd_of_i_var (cast_to_i_var !bomb)
601 then ([], (let f t = Pure.A(t,t) in f (Pure.L (f (Pure.V 0)))), [])
602 else ([],Pure.V n,[]))::e
606 prerr_endline "########## main ##########";;
609 v ==> v := \a. a k1 .. kn \^m.0
610 + ==> v := \^k. numero for every v such that ...
611 * ==> tries v as long as possible and then +v as long as possible
614 let rec aux ({ps} as p) n l =
615 if List.for_all (function `N _ -> true | _ -> false) ps && p.div = None then begin
618 let _ = prerr_endline (print_problem "main" p) in
622 | [] -> read_line (),[] in
631 | `DoneWith -> assert false (*aux (eat p) n l*) (* CSC: TODO *)
633 let x = var_of_string x in
634 aux (instantiate p x n) n l
635 | `Auto -> aux (auto p n) n l
639 Console.print_hline();
640 bomb := `Var (-1,-666);
641 let p_finale = aux p n cmds in
642 let freshno,sigma = p_finale.freshno, p_finale.sigma in
643 prerr_endline ("------- <DONE> ------\n ");
644 (* prerr_endline (print_problem "Original problem" p); *)
645 prerr_endline "---------------------";
646 let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
647 prerr_endline (" BOMB == " ^ print ~l !bomb);
648 prerr_endline "---------------------";
649 List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma;
651 prerr_endline "----------------------";
653 List.fold_left (fun ps (x,inst) ->
654 (* CSC: XXXX Is the subst always sorted correctly? Otherwise, implement a recursive subst *)
655 (* In this non-recursive version, the intermediate states may containt Matchs *)
656 List.map (fun t -> let t = subst false x inst (t :> nf) in cast_to_i_num_var t) ps)
657 (p.ps :> i_num_var list) sigma in
658 prerr_endline (print_problem {p with ps= List.map (function t -> cast_to_i_n_var t) ps; freshno});
659 List.iteri (fun i (n,more_args) -> assert (more_args = 0 && n = `N i)) ps ;
661 prerr_endline "---------<OPT>----------";
662 let sigma = optimize_numerals p_finale in (* optimize numerals *)
663 let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
664 List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma;
665 prerr_endline "---------<PURE>---------";
666 let div = option_map (fun div -> ToScott.t_of_nf (div :> nf)) p.div in
667 let conv = List.map (fun t -> ToScott.t_of_nf (t :> nf)) p.conv in
668 let ps = List.map (fun t -> ToScott.t_of_nf (t :> nf)) p.ps in
669 let sigma = List.map (fun (x,inst) -> x, ToScott.t_of_nf inst) sigma in
670 (*let ps_ok = List.fold_left (fun ps (x,inst) ->
671 List.map (Pure.subst false x inst) ps) ps sigma in*)
672 let e = env_of_sigma freshno sigma true in
673 let e' = env_of_sigma freshno sigma false in
676 prerr_endline "---------<PPP>---------";
678 "[" ^ String.concat ";" (List.map (fun (e,t,[]) -> print_e e ^ ":" ^ Pure.print t) e) ^ "]"
680 prerr_endline (print_e e);
681 List.iter (fun (t,t_ok) ->
682 prerr_endline ("T0= " ^ Pure.print t ^ "\nTM= " ^ Pure.print (Pure.unwind (e,t,[])) ^ "\nOM= " ^ Pure.print t_ok);
683 (*assert (Pure.unwind (e,t,[]) = t_ok)*)
684 ) (List.combine ps ps_ok);
686 prerr_endline "--------<REDUCE>---------";
687 (function Some div ->
688 print_endline (Pure.print div);
689 let t = Pure.mwhd (e',div,[]) in
690 prerr_endline ("*:: " ^ (Pure.print t));
691 prerr_endline (print !bomb);
692 assert (t = ToScott.t_of_nf (!bomb:>nf))
695 prerr_endline ("_::: " ^ (Pure.print n));
696 let t = Pure.mwhd (e,n,[]) in
697 prerr_endline ("_:: " ^ (Pure.print t))
699 List.iteri (fun i n ->
700 prerr_endline ((string_of_int i) ^ "::: " ^ (Pure.print n));
701 let t = Pure.mwhd (e,n,[]) in
702 prerr_endline ((string_of_int i) ^ ":: " ^ (Pure.print t));
703 assert (t = Scott.mk_n i)
705 prerr_endline "-------- </DONE> --------"
708 (********************** problems *******************)
710 let zero = `Var(0,0);;
715 | `Var _ as i -> cast_to_i_n_var (mk_app i zero)
719 type t = problem * int * string list;;
721 let magic_conv ~div ~conv ~nums cmds =
722 let all_tms = (match div with None -> [] | Some div -> [div]) @ nums @ conv in
723 let all_tms, var_names = parse' all_tms in
724 let div, (tms, conv) = match div with
725 | None -> None, list_cut (List.length nums, all_tms)
726 | Some _ -> Some (List.hd all_tms), list_cut (List.length nums, List.tl all_tms) in
728 if match div with None -> false | Some div -> List.exists (eta_subterm div) (tms@conv)
730 prerr_endline "--- TEST SKIPPED ---";
731 {freshno=0; div=None; conv=[]; ps=[]; sigma=[]; deltas=[]}, 0, []
733 let tms = sort_uniq ~compare:eta_compare tms in
734 let special_k = compute_special_k (Listx.from_list all_tms) in (* compute initial special K *)
736 let div = option_map cast_to_i_var div in
737 let conv = Util.filter_map (function #i_n_var as t -> Some (cast_to_i_n_var t) | _ -> None) conv in
738 let tms = List.map cast_to_i_n_var tms in
740 let ps = List.map append_zero tms in (* crea lista applicando zeri o dummies *)
741 let freshno = List.length var_names in
743 let dummy = `Var (max_int / 2, -666) in
744 [ ref (Array.to_list (Array.init (List.length ps) (fun i -> i, dummy))) ] in
746 {freshno; div; conv; ps; sigma=[] ; deltas}, special_k, cmds
749 let magic strings cmds = magic_conv None [] strings cmds;;