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_tac_status status;
26 prerr_endline message;
32 match status.gstatus 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 with gstatus = new_gstatus }
49 let branch_tac status =
51 match status.gstatus 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 with gstatus = new_gstatus }
62 let shift_tac status =
64 match status.gstatus 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 with gstatus = new_gstatus }
76 let pos_tac i_s status =
78 match status.gstatus 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 with gstatus = new_gstatus }
90 let wildcard_tac status =
92 match status.gstatus 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 with gstatus = new_gstatus }
102 let merge_tac status =
104 match status.gstatus 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 with gstatus = new_gstatus }
113 let focus_tac gs status =
115 match status.gstatus 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 with gstatus = new_gstatus }
132 let unfocus_tac status =
134 match status.gstatus with
136 | ([], [], [], `FocusTag) :: s -> s
137 | _ -> fail (lazy "can't unfocus, some goals are still open")
139 { status with gstatus = new_gstatus }
142 let skip_tac status =
144 match status.gstatus 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 with gstatus = new_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.pstatus in
162 let _,_,present,_,_ = present.pstatus 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 g =
183 let stack = [ [0,Open g], [], [], `NoTag ] in
184 let status = tac { gstatus = stack ; istatus = low_status } in
188 let distribute_tac tac status =
189 match status.gstatus with
191 | (g, t, k, tag) :: s ->
192 debug_print (lazy ("context length " ^string_of_int (List.length g)));
193 let rec aux s go gc =
196 debug_print (lazy "no selected goals");
199 debug_print (lazy "inner eval tactical");
201 if List.exists ((=) (goal_of_loc loc)) gc then
204 match switch_of_loc loc with
205 | Closed _ -> fail (lazy "cannot apply to a Closed goal")
208 let go', gc' = compare_statuses ~past:s ~present:sn in
209 sn, ((go @+ [n]) @- gc') @+ go', gc @+ gc'
213 let s0, go0, gc0 = status.istatus, [], [] in
214 let sn, gon, gcn = aux s0 go0 gc0 g in
215 debug_print (lazy ("opened: "
216 ^ String.concat " " (List.map string_of_int gon)));
217 debug_print (lazy ("closed: "
218 ^ String.concat " " (List.map string_of_int gcn)));
220 (zero_pos gon, t @~- gcn, k @~- gcn, tag) :: deep_close gcn s
222 { gstatus = stack; istatus = sn }
225 let atomic_tac htac = distribute_tac (exec htac) ;;
227 let exact_tac t = distribute_tac (fun status goal ->
228 let goalty = get_goalty status goal in
229 let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
230 instantiate status goal t)
233 let find_in_context name context =
234 let rec aux acc = function
235 | [] -> raise Not_found
236 | (hd,_) :: tl when hd = name -> acc
237 | _ :: tl -> aux (acc + 1) tl
242 let clear_tac names =
243 if names = [] then id_tac
245 distribute_tac (fun status goal ->
246 let goalty = get_goalty status goal in
250 try find_in_context name (ctx_of goalty)
252 fail (lazy ("hypothesis '" ^ name ^ "' not found")))
255 let n,h,metasenv,subst,o = status.pstatus in
256 let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in
257 { status with pstatus = n,h,metasenv,subst,o })
260 let generalize0_tac args =
261 if args = [] then id_tac
262 else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
265 let select0_tac ~where:(wanted,_,where) ~job =
266 let found, postprocess =
268 | `Substexpand argsno -> mk_in_scope, mk_out_scope argsno
269 | `Collect l -> (fun s t -> l := t::!l; mk_in_scope s t), mk_out_scope 1
271 distribute_tac (fun status goal ->
272 let goalty = get_goalty status goal in
274 match where with None -> NCic.Implicit `Term | Some where -> where
276 let status, newgoalty =
277 select_term status ~found ~postprocess goalty (wanted,path)
279 let status, instance =
280 mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
282 instantiate status goal instance)
285 let select_tac ~where ~job move_down_hyps =
286 let (wanted,hyps,where) = GrafiteDisambiguate.disambiguate_npattern where in
288 match where with None -> NCic.Implicit `Term | Some where -> where in
289 if not move_down_hyps then
290 select0_tac ~where:(wanted,hyps,Some path) ~job
294 (fun path (name,path_name) -> NCic.Prod ("_",path_name,path))
298 generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyps);
299 select0_tac ~where:(wanted,[],Some path) ~job;
300 clear_tac (List.map fst hyps) ]
303 let generalize_tac ~where =
306 select_tac ~where ~job:(`Collect l) true;
307 print_tac true "ha selezionato?";
308 (fun s -> distribute_tac (fun status goal ->
309 if !l = [] then fail (lazy "No term to generalize");
310 let goalty = get_goalty status goal in
311 let canon = List.hd !l in
314 (fun s t -> unify s (ctx_of goalty) canon t) status (List.tl !l)
316 let status, canon = term_of_cic_term status canon (ctx_of goalty) in
317 instantiate status goal
318 (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ; canon ]))
324 let n,h,metasenv,subst,o = status.pstatus in
327 (function (_,(Some tag,_,_,_)) ->
328 tag <> NCicMetaSubst.in_scope_tag &&
329 not (NCicMetaSubst.is_out_scope_tag tag)
335 (function (_,(Some tag,_,_,_)) ->
336 tag = NCicMetaSubst.in_scope_tag | _ -> assert false)
339 let metasenv = List.map (fun (i,(_,c,_,t)) -> i,(None,c,t)) in_m @ metasenv in
340 let in_m = List.map fst in_m in
341 let out_m = match out_m with [i] -> i | _ -> assert false in
342 { status with pstatus = n,h,metasenv,subst,o }, in_m, out_m
345 let change ~where ~with_what status goal =
347 let goalty = get_goalty status goal in
348 let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
350 match where with None -> NCic.Implicit `Term | Some where -> where
352 let status, newgoalty = assert false (*
353 select_term status 1 goalty (wanted,path)*) in
354 let status, in_scope, out_scope = reopen status in
355 let status = List.fold_left (exact with_what) status in_scope in
357 let j,(n,cctx,bo,_) = out_scope in
358 let _ = typeof status (ctx_of goalty) (Obj.magic (n,cctx,bo)) in
360 let n,h,metasenv,subst,o = status.pstatus in
361 let subst = out_scope :: subst in
362 let status = { status with pstatus = n,h,metasenv,subst,o } in
364 let status, instance =
365 mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
367 instantiate status goal instance
370 let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
372 let apply_tac = exact_tac;;
378 lefts: NCic.term list;
379 rights: NCic.term list;
380 reference: NReference.reference;
384 let analyze_indty_tac ~what indtyref = distribute_tac (fun status goal ->
385 let goalty = get_goalty status goal in
386 let status, what = disambiguate status what None (ctx_of goalty) in
387 let status, ty_what = typeof status (ctx_of what) what in
388 let status, (r,consno,lefts,rights) = analyse_indty status ty_what in
389 let leftno = List.length rights in
390 let rightno = List.length rights in
392 rightno = rightno; leftno = leftno; consno = consno;
393 lefts = lefts; rights = rights; reference = r;
395 exec id_tac status goal)
398 let elim_tac ~what ~where =
399 let indtyinfo = ref None in
400 let sort = ref None in
401 let compute_goal_sort_tac = distribute_tac (fun status goal ->
402 let goalty = get_goalty status goal in
403 let status, goalsort = typeof status (ctx_of goalty) goalty in
404 sort := Some goalsort;
405 exec id_tac status goal)
407 atomic_tac (block_tac [
408 analyze_indty_tac ~what indtyinfo;
410 ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
411 compute_goal_sort_tac;
413 let sort = HExtlib.unopt !sort in
414 let ity = HExtlib.unopt !indtyinfo in
415 let NReference.Ref (uri, _) = ity.reference in
416 let istatus, sort = term_of_cic_term status.istatus sort (ctx_of sort) in
417 let status = { status with istatus = istatus } in
418 let name = NUri.name_of_uri uri ^
420 | NCic.Sort NCic.Prop -> "_ind"
421 | NCic.Sort _ -> "_rect"
425 HExtlib.mk_list Ast.Implicit (ity.leftno+1+ ity.consno + ity.rightno) in
428 Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
430 exact_tac ("",0,eliminator) status) ])
433 let rewrite_tac ~dir ~what:(_,_,what) ~where =
435 match dir with `LeftToRight -> "eq_elim_r" | `RightToLeft -> "eq_ind"
438 [ select_tac ~where ~job:(`Substexpand 1) true;
441 Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list Ast.Implicit 5 @
448 ("",0,(Ast.Binder (`Lambda,
449 (Ast.Ident (name,None),None),Ast.Implicit)));
450 if name = "_" then clear_tac [name] else id_tac ]
453 let cases ~what status goal =
454 let gty = get_goalty status goal in
455 let status, what = disambiguate status what None (ctx_of gty) in
456 let status, ty = typeof status (ctx_of what) what in
457 let status, (ref, consno, _, _) = analyse_indty status ty in
458 let status, what = term_of_cic_term status what (ctx_of gty) in
460 NCic.Match (ref,NCic.Implicit `Term, what,
461 HExtlib.mk_list (NCic.Implicit `Term) consno)
463 let ctx = ctx_of gty in
464 let status,t,ty = refine status ctx (mk_cic_term ctx t) (Some gty) in
465 instantiate status goal t
468 let cases_tac ~what ~where =
469 let indtyinfo = ref None in
472 analyze_indty_tac ~what indtyinfo;
474 ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true s);
475 distribute_tac (cases ~what) ])
479 let name = if name = "_" then "_clearme" else name in
480 block_tac [ intro_tac name;
482 ~where:("",0,(None,[],None))
483 ~what:("",0,Ast.Ident (name,None));
484 if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]