2 ||M|| This file is part of HELM, an Hypertextual, Electronic
3 ||A|| Library of Mathematics, developed at the Computer Science
4 ||T|| Department, University of Bologna, Italy.
6 ||T|| HELM is free software; you can redistribute it and/or
7 ||A|| modify it under the terms of the GNU General Public License
8 \ / version 2 or (at your option) any later version.
9 \ / This software is distributed as is, NO WARRANTY.
10 V_______________________________________________________________ *)
12 (* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *)
17 let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
19 open Continuationals.Stack
21 module Ast = CicNotationPt
23 let id_tac status = status ;;
24 let print_tac print_status message status =
25 if print_status then pp_status status;
26 prerr_endline message;
32 match status#stack with
34 | ([], _, [], _) :: _ as stack ->
35 (* backward compatibility: do-nothing-dot *)
37 | (g, t, k, tag) :: s ->
38 match filter_open g, k with
40 (([ loc ], t, loc_tl @+ k, tag) :: s)
43 (([ loc ], t, k, tag) :: s)
44 | _ -> fail (lazy "can't use \".\" here")
46 status#set_stack gstatus
49 let branch_tac status =
51 match status#stack with
53 | (g, t, k, tag) :: s ->
54 match init_pos g with (* TODO *)
55 | [] | [ _ ] -> fail (lazy "too few goals to branch");
57 ([ loc ], [], [], `BranchTag) :: (loc_tl, t, k, tag) :: s
59 status#set_stack gstatus
62 let shift_tac status =
64 match status#stack with
65 | (g, t, k, `BranchTag) :: (g', t', k', tag) :: s ->
67 | [] -> fail (lazy "no more goals to shift")
69 (([ loc ], t @+ filter_open g @+ k, [],`BranchTag)
70 :: (loc_tl, t', k', tag) :: s))
71 | _ -> fail (lazy "can't shift goals here")
73 status#set_stack gstatus
76 let pos_tac i_s status =
78 match status#stack with
80 | ([ loc ], t, [],`BranchTag) :: (g', t', k', tag) :: s
82 let l_js = List.filter (fun (i, _) -> List.mem i i_s) ([loc] @+ g') in
83 ((l_js, t , [],`BranchTag)
84 :: (([ loc ] @+ g') @- l_js, t', k', tag) :: s)
85 | _ -> fail (lazy "can't use relative positioning here")
87 status#set_stack gstatus
90 let wildcard_tac status =
92 match status#stack with
94 | ([ loc ] , t, [], `BranchTag) :: (g', t', k', tag) :: s
96 (([loc] @+ g', t, [], `BranchTag) :: ([], t', k', tag) :: s)
97 | _ -> fail (lazy "can't use wildcard here")
99 status#set_stack gstatus
102 let merge_tac status =
104 match status#stack with
106 | (g, t, k,`BranchTag) :: (g', t', k', tag) :: s ->
107 ((t @+ filter_open g @+ g' @+ k, t', k', tag) :: s)
108 | _ -> fail (lazy "can't merge goals here")
110 status#set_stack gstatus
113 let focus_tac gs status =
115 match status#stack with
117 | s -> assert(gs <> []);
119 let add_l acc _ _ l = if is_open l then l :: acc else acc in
120 fold ~env:add_l ~cont:add_l ~todo:add_l [] s
124 if not (List.exists (fun l -> goal_of_loc l = g) stack_locs) then
125 fail (lazy (sprintf "goal %d not found (or closed)" g)))
127 (zero_pos gs, [], [], `FocusTag) :: deep_close gs s
129 status#set_stack gstatus
132 let unfocus_tac status =
134 match status#stack with
136 | ([], [], [], `FocusTag) :: s -> s
137 | _ -> fail (lazy "can't unfocus, some goals are still open")
139 status#set_stack gstatus
142 let skip_tac status =
144 match status#stack with
146 | (gl, t, k, tag) :: s ->
147 let gl = List.map switch_of_loc gl in
148 if List.exists (function Open _ -> true | Closed _ -> false) gl then
149 fail (lazy "cannot skip an open goal")
153 status#set_stack gstatus
156 let block_tac l status =
157 List.fold_left (fun status tac -> tac status) status l
160 let compare_statuses ~past ~present =
161 let _,_,past,_,_ = past#obj in
162 let _,_,present,_,_ = present#obj in
163 List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present),
164 List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past)
169 (* Exec and distribute_tac form a retraction pair:
170 1) exec (distribute_tac low_tac) (s,i) = low_tac (s,i)
171 2) tac [s]::G = G1::...::Gn::G' && G' is G with some goals closed =>
172 distribute_tac (exec tac) [s]::G = (G1@...Gn)::G'
173 3) tac G = distribute_tac (exec tac) G if
174 tac = distribute_tac lowtac
175 4) atomic_tac t === distribute_tac (exec t)
177 Note that executing an high tactic on a set of goals may be stronger
178 than executing the same tactic on those goals, but once at a time
179 (e.g. the tactic could perform a global analysis of the set of goals)
182 let exec tac (low_status : #lowtac_status) g =
183 let stack = [ [0,Open g], [], [], `NoTag ] in
185 (new NTacStatus.status low_status#obj stack)#set_estatus low_status
187 let status = tac status in
188 (low_status#set_estatus status)#set_obj status#obj
191 let distribute_tac tac (status : #tac_status) =
192 match status#stack with
194 | (g, t, k, tag) :: s ->
195 debug_print (lazy ("context length " ^string_of_int (List.length g)));
196 let rec aux s go gc =
199 debug_print (lazy "no selected goals");
202 debug_print (lazy "inner eval tactical");
204 if List.exists ((=) (goal_of_loc loc)) gc then
207 match switch_of_loc loc with
208 | Closed _ -> fail (lazy "cannot apply to a Closed goal")
211 let go', gc' = compare_statuses ~past:s ~present:sn in
212 sn, ((go @+ [n]) @- gc') @+ go', gc @+ gc'
217 (new NTacStatus.status status#obj ())#set_estatus
218 (status :> NEstatus.status) in
219 let s0, go0, gc0 = s0, [], [] in
220 let sn, gon, gcn = aux s0 go0 gc0 g in
221 debug_print (lazy ("opened: "
222 ^ String.concat " " (List.map string_of_int gon)));
223 debug_print (lazy ("closed: "
224 ^ String.concat " " (List.map string_of_int gcn)));
226 (zero_pos gon, t @~- gcn, k @~- gcn, tag) :: deep_close gcn s
228 ((status#set_stack stack)#set_obj(sn:>lowtac_status)#obj)#set_estatus sn
231 let atomic_tac htac = distribute_tac (exec htac) ;;
233 let try_tac tac status =
236 with NTacStatus.Error _ ->
240 let first_tac tacl status =
243 (fun tac _ -> try Some (tac status) with NTacStatus.Error _ -> None) tacl
246 | None -> fail (lazy "No tactics left")
250 let exact_tac t : 's tactic = distribute_tac (fun status goal ->
251 let goalty = get_goalty status goal in
252 let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
253 instantiate status goal t)
256 let assumption_tac status = distribute_tac (fun status goal ->
257 let gty = get_goalty status goal in
258 let context = ctx_of gty in
261 (List.map (fun (name,_) -> exact_tac ("",0,(Ast.Ident (name,None))))
264 exec htac status goal) status
267 let find_in_context name context =
268 let rec aux acc = function
269 | [] -> raise Not_found
270 | (hd,_) :: tl when hd = name -> acc
271 | _ :: tl -> aux (acc + 1) tl
276 let clear_tac names =
277 if names = [] then id_tac
279 distribute_tac (fun status goal ->
280 let goalty = get_goalty status goal in
284 try find_in_context name (ctx_of goalty)
286 fail (lazy ("hypothesis '" ^ name ^ "' not found")))
289 let n,h,metasenv,subst,o = status#obj in
290 let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in
291 status#set_obj (n,h,metasenv,subst,o))
294 let generalize0_tac args =
295 if args = [] then id_tac
296 else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
299 let select0_tac ~where:(wanted,hyps,where) ~job =
300 let found, postprocess =
302 | `Substexpand argsno -> mk_in_scope, mk_out_scope argsno
303 | `Collect l -> (fun s t -> l := t::!l; mk_in_scope s t), mk_out_scope 1
304 | `ChangeWith f -> f,(fun s t -> s, t)
306 distribute_tac (fun status goal ->
307 let goalty = get_goalty status goal in
309 match where with None -> NCic.Implicit `Term | Some where -> where
311 let status, newgoalctx =
313 (fun (name,d as entry) (status,ctx) ->
315 let path = List.assoc name hyps in
319 select_term status ~found ~postprocess (mk_cic_term ctx ty)
321 let status,ty = term_of_cic_term status ty ctx in
322 status,(name,NCic.Decl ty)::ctx
323 | NCic.Def (bo,ty) ->
325 select_term status ~found ~postprocess (mk_cic_term ctx bo)
327 let status,bo = term_of_cic_term status bo ctx in
328 status,(name,NCic.Def (bo,ty))::ctx
330 Not_found -> status, entry::ctx
331 ) (ctx_of goalty) (status,[])
333 let status, newgoalty =
334 select_term status ~found ~postprocess goalty (wanted,path) in
335 (* WARNING: the next two lines simply change the context of newgoalty
336 from the old to the new one. Otherwise mk_meta will do that herself,
337 calling relocate that calls delift. However, newgoalty is now
338 ?[out_scope] and thus the delift would trigger the special unification
339 case, which is wrong now :-( *)
340 let status,newgoalty = term_of_cic_term status newgoalty (ctx_of goalty) in
341 let newgoalty = mk_cic_term newgoalctx newgoalty in
343 let status, instance =
344 mk_meta status newgoalctx (`Decl newgoalty)
346 instantiate status goal instance)
349 let select_tac ~where ~job move_down_hyps =
350 let (wanted,hyps,where) = GrafiteDisambiguate.disambiguate_npattern where in
352 match where with None -> NCic.Implicit `Term | Some where -> where in
353 if not move_down_hyps then
354 select0_tac ~where:(wanted,hyps,Some path) ~job
358 (fun path (name,path_name) -> NCic.Prod ("_",path_name,path))
362 generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyps);
363 select0_tac ~where:(wanted,[],Some path) ~job;
364 clear_tac (List.map fst hyps) ]
367 let generalize_tac ~where =
370 select_tac ~where ~job:(`Collect l) true;
371 print_tac true "ha selezionato?";
372 (fun s -> distribute_tac (fun status goal ->
373 let goalty = get_goalty status goal in
374 let status,canon,rest =
378 _,_,(None,_,_) -> fail (lazy "No term to generalize")
379 | txt,txtlen,(Some what,_,_) ->
381 disambiguate status (txt,txtlen,what) None (ctx_of goalty)
385 | he::tl -> status,he,tl in
388 (fun s t -> unify s (ctx_of goalty) canon t) status rest in
389 let status, canon = term_of_cic_term status canon (ctx_of goalty) in
390 instantiate status goal
391 (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ; canon ]))
395 let reduce_tac ~reduction ~where =
396 let change status t =
398 | `Normalize perform_delta ->
400 ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t
401 | `Whd perform_delta ->
403 ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t
405 let where = GrafiteDisambiguate.disambiguate_npattern where in
406 select0_tac ~where ~job:(`ChangeWith change)
409 let change_tac ~where ~with_what =
410 let change status t =
411 let status, ww = disambiguate status with_what None (ctx_of t) in
412 let status = unify status (ctx_of t) t ww in
415 let where = GrafiteDisambiguate.disambiguate_npattern where in
416 select0_tac ~where ~job:(`ChangeWith change)
419 let letin_tac ~where ~what:(_,_,w) name =
421 select_tac ~where ~job:(`Substexpand 1) true;
422 exact_tac ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit));
426 let apply_tac = exact_tac;;
432 lefts: NCic.term list;
433 rights: NCic.term list;
434 reference: NReference.reference;
438 let analyze_indty_tac ~what indtyref = distribute_tac (fun status goal ->
439 let goalty = get_goalty status goal in
440 let status, what = disambiguate status what None (ctx_of goalty) in
441 let status, ty_what = typeof status (ctx_of what) what in
442 let status, (r,consno,lefts,rights) = analyse_indty status ty_what in
443 let leftno = List.length rights in
444 let rightno = List.length rights in
446 rightno = rightno; leftno = leftno; consno = consno;
447 lefts = lefts; rights = rights; reference = r;
449 exec id_tac status goal)
452 let elim_tac ~what ~where =
453 let indtyinfo = ref None in
454 let sort = ref None in
455 let compute_goal_sort_tac = distribute_tac (fun status goal ->
456 let goalty = get_goalty status goal in
457 let status, goalsort = typeof status (ctx_of goalty) goalty in
458 sort := Some goalsort;
459 exec id_tac status goal)
461 atomic_tac (block_tac [
462 analyze_indty_tac ~what indtyinfo;
464 ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
465 compute_goal_sort_tac;
467 let sort = HExtlib.unopt !sort in
468 let ity = HExtlib.unopt !indtyinfo in
469 let NReference.Ref (uri, _) = ity.reference in
470 let status, sort = term_of_cic_term status sort (ctx_of sort) in
471 let name = NUri.name_of_uri uri ^
473 | NCic.Sort NCic.Prop -> "_ind"
474 | NCic.Sort _ -> "_rect"
478 HExtlib.mk_list Ast.Implicit (ity.leftno+1+ ity.consno + ity.rightno) in
481 Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
483 exact_tac ("",0,eliminator) status) ])
486 let rewrite_tac ~dir ~what:(_,_,what) ~where =
488 match dir with `LeftToRight -> "eq_elim_r" | `RightToLeft -> "eq_ind"
491 [ select_tac ~where ~job:(`Substexpand 1) true;
494 Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list Ast.Implicit 5 @
501 ("",0,(Ast.Binder (`Lambda,
502 (Ast.Ident (name,None),None),Ast.Implicit)));
503 if name = "_" then clear_tac [name] else id_tac ]
506 let cases ~what status goal =
507 let gty = get_goalty status goal in
508 let status, what = disambiguate status what None (ctx_of gty) in
509 let status, ty = typeof status (ctx_of what) what in
510 let status, (ref, consno, _, _) = analyse_indty status ty in
511 let status, what = term_of_cic_term status what (ctx_of gty) in
513 NCic.Match (ref,NCic.Implicit `Term, what,
514 HExtlib.mk_list (NCic.Implicit `Term) consno)
516 let ctx = ctx_of gty in
517 let status,t,ty = refine status ctx (mk_cic_term ctx t) (Some gty) in
518 instantiate status goal t
521 let cases_tac ~what ~where =
522 let indtyinfo = ref None in
525 analyze_indty_tac ~what indtyinfo;
527 ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true s);
528 distribute_tac (cases ~what) ])
532 let name = if name = "_" then "_clearme" else name in
533 block_tac [ intro_tac name;
535 ~where:("",0,(None,[],None))
536 ~what:("",0,Ast.Ident (name,None));
537 if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
540 let assert0_tac (hyps,concl) = distribute_tac (fun status goal ->
541 let gty = get_goalty status goal in
542 let eq status ctx t1 t2 =
543 let status,t1 = disambiguate status t1 None ctx in
544 let status,t1 = apply_subst status ctx t1 in
545 let status,t1 = term_of_cic_term status t1 ctx in
546 let t2 = mk_cic_term ctx t2 in
547 let status,t2 = apply_subst status ctx t2 in
548 let status,t2 = term_of_cic_term status t2 ctx in
549 prerr_endline ("COMPARING: " ^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:ctx t1 ^ " vs " ^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:ctx t2);
553 let status,gty' = term_of_cic_term status gty (ctx_of gty) in
554 let status = eq status (ctx_of gty) concl gty' in
557 (fun (id1,e1) ((id2,e2) as item) (status,ctx) ->
558 assert (id1=id2 || (prerr_endline (id1 ^ " vs " ^ id2); false));
560 `Decl t1, NCic.Decl t2 ->
561 let status = eq status ctx t1 t2 in
563 | `Def (b1,t1), NCic.Def (b2,t2) ->
564 let status = eq status ctx t1 t2 in
565 let status = eq status ctx b1 b2 in
568 ) hyps (ctx_of gty) (status,[])
570 exec id_tac status goal)
573 let assert_tac seqs status =
574 match status#stack with
577 assert (List.length g = List.length seqs);
580 | [seq] -> assert0_tac seq
584 HExtlib.list_concat ~sep:[shift_tac]
585 (List.map (fun seq -> [assert0_tac seq]) seqs)@
590 let auto ~params:(l,_) status goal =
591 let gty = get_goalty status goal in
592 let n,h,metasenv,subst,o = status#obj in
593 let status,t = term_of_cic_term status gty (ctx_of gty) in
596 (fun (status, l) t ->
597 let status, t = disambiguate status t None (ctx_of gty) in
598 let status, ty = typeof status (ctx_of t) t in
599 let status, t = term_of_cic_term status t (ctx_of gty) in
600 let status, ty = term_of_cic_term status ty (ctx_of ty) in
601 (status, (t,ty) :: l))
604 let pt, metasenv, subst =
605 Paramod.nparamod status metasenv subst (ctx_of gty) (NCic.Rel ~-1,t) l
607 let status = status#set_obj (n,h,metasenv,subst,o) in
608 instantiate status goal (NTacStatus.mk_cic_term (ctx_of gty) pt)
611 let auto_tac ~params status =
612 distribute_tac (auto ~params) status