+ ((status#set_stack stack)#set_obj(sn:>lowtac_status)#obj)#set_estatus sn
+;;
+
+let atomic_tac htac = distribute_tac (exec htac) ;;
+
+let try_tac tac status =
+ try
+ tac status
+ with NTacStatus.Error _ ->
+ status
+;;
+
+let first_tac tacl status =
+ let res =
+ HExtlib.list_findopt
+ (fun tac _ -> try Some (tac status) with NTacStatus.Error _ -> None) tacl
+ in
+ match res with
+ | None -> fail (lazy "No tactics left")
+ | Some x -> x
+;;
+
+let exact_tac t : 's tactic = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
+ instantiate status goal t)
+;;
+
+let assumption_tac status = distribute_tac (fun status goal ->
+ let gty = get_goalty status goal in
+ let context = ctx_of gty in
+ let htac =
+ first_tac
+ (List.map (fun (name,_) -> exact_tac ("",0,(Ast.Ident (name,None))))
+ context)
+ in
+ exec htac status goal) status
+;;
+
+let find_in_context name context =
+ let rec aux acc = function
+ | [] -> raise Not_found
+ | (hd,_) :: tl when hd = name -> acc
+ | _ :: tl -> aux (acc + 1) tl
+ in
+ aux 1 context
+;;
+
+let clear_tac names =
+ if names = [] then id_tac
+ else
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let js =
+ List.map
+ (fun name ->
+ try find_in_context name (ctx_of goalty)
+ with Not_found ->
+ fail (lazy ("hypothesis '" ^ name ^ "' not found")))
+ names
+ in
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in
+ status#set_obj (n,h,metasenv,subst,o))
+;;
+
+let generalize0_tac args =
+ if args = [] then id_tac
+ else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
+;;
+
+let select0_tac ~where:(wanted,hyps,where) ~job =
+ let found, postprocess =
+ match job with
+ | `Substexpand argsno -> mk_in_scope, mk_out_scope argsno
+ | `Collect l -> (fun s t -> l := t::!l; mk_in_scope s t), mk_out_scope 1
+ | `ChangeWith f -> f,(fun s t -> s, t)
+ in
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where
+ in
+ let status, newgoalctx =
+ List.fold_right
+ (fun (name,d as entry) (status,ctx) ->
+ try
+ let path = List.assoc name hyps in
+ match d with
+ NCic.Decl ty ->
+ let status,ty =
+ select_term status ~found ~postprocess (mk_cic_term ctx ty)
+ (wanted,path) in
+ let status,ty = term_of_cic_term status ty ctx in
+ status,(name,NCic.Decl ty)::ctx
+ | NCic.Def (bo,ty) ->
+ let status,bo =
+ select_term status ~found ~postprocess (mk_cic_term ctx bo)
+ (wanted,path) in
+ let status,bo = term_of_cic_term status bo ctx in
+ status,(name,NCic.Def (bo,ty))::ctx
+ with
+ Not_found -> status, entry::ctx
+ ) (ctx_of goalty) (status,[])
+ in
+ let status, newgoalty =
+ select_term status ~found ~postprocess goalty (wanted,path) in
+ (* WARNING: the next two lines simply change the context of newgoalty
+ from the old to the new one. Otherwise mk_meta will do that herself,
+ calling relocate that calls delift. However, newgoalty is now
+ ?[out_scope] and thus the delift would trigger the special unification
+ case, which is wrong now :-( *)
+ let status,newgoalty = term_of_cic_term status newgoalty (ctx_of goalty) in
+ let newgoalty = mk_cic_term newgoalctx newgoalty in
+
+ let status, instance =
+ mk_meta status newgoalctx (`Decl newgoalty)
+ in
+ instantiate status goal instance)
+;;
+
+let select_tac ~where ~job move_down_hyps =
+ let (wanted,hyps,where) = GrafiteDisambiguate.disambiguate_npattern where in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where in
+ if not move_down_hyps then
+ select0_tac ~where:(wanted,hyps,Some path) ~job
+ else
+ let path =
+ List.fold_left
+ (fun path (name,path_name) -> NCic.Prod ("_",path_name,path))
+ path (List.rev hyps)
+ in
+ block_tac [
+ generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyps);
+ select0_tac ~where:(wanted,[],Some path) ~job;
+ clear_tac (List.map fst hyps) ]
+;;
+
+let generalize_tac ~where =
+ let l = ref [] in
+ block_tac [
+ select_tac ~where ~job:(`Collect l) true;
+ print_tac true "ha selezionato?";
+ (fun s -> distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status,canon,rest =
+ match !l with
+ [] ->
+ (match where with
+ _,_,(None,_,_) -> fail (lazy "No term to generalize")
+ | txt,txtlen,(Some what,_,_) ->
+ let status, what =
+ disambiguate status (txt,txtlen,what) None (ctx_of goalty)
+ in
+ status,what,[]
+ )
+ | he::tl -> status,he,tl in
+ let status =
+ List.fold_left
+ (fun s t -> unify s (ctx_of goalty) canon t) status rest in
+ let status, canon = term_of_cic_term status canon (ctx_of goalty) in
+ instantiate status goal
+ (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ; canon ]))
+ ) s) ]
+;;
+
+let reduce_tac ~reduction ~where =
+ let change status t =
+ match reduction with
+ | `Normalize perform_delta ->
+ normalize status
+ ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t
+ | `Whd perform_delta ->
+ whd status
+ ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t
+ in
+ let where = GrafiteDisambiguate.disambiguate_npattern where in
+ select0_tac ~where ~job:(`ChangeWith change)
+;;
+
+let change_tac ~where ~with_what =
+ let change status t =
+ let status, ww = disambiguate status with_what None (ctx_of t) in
+ let status = unify status (ctx_of t) t ww in
+ status, ww
+ in
+ let where = GrafiteDisambiguate.disambiguate_npattern where in
+ select0_tac ~where ~job:(`ChangeWith change)
+;;
+
+let letin_tac ~where ~what:(_,_,w) name =
+ block_tac [
+ select_tac ~where ~job:(`Substexpand 1) true;
+ exact_tac ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit));
+ ]
+;;
+
+let apply_tac = exact_tac;;
+
+type indtyinfo = {
+ rightno: int;
+ leftno: int;
+ consno: int;
+ lefts: NCic.term list;
+ rights: NCic.term list;
+ reference: NReference.reference;
+ }
+;;
+
+let analyze_indty_tac ~what indtyref = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status, what = disambiguate status what None (ctx_of goalty) in
+ let status, ty_what = typeof status (ctx_of what) what in
+ let status, (r,consno,lefts,rights) = analyse_indty status ty_what in
+ let leftno = List.length rights in
+ let rightno = List.length rights in
+ indtyref := Some {
+ rightno = rightno; leftno = leftno; consno = consno;
+ lefts = lefts; rights = rights; reference = r;
+ };
+ exec id_tac status goal)
+;;
+
+let elim_tac ~what ~where =
+ let indtyinfo = ref None in
+ let sort = ref None in
+ let compute_goal_sort_tac = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status, goalsort = typeof status (ctx_of goalty) goalty in
+ sort := Some goalsort;
+ exec id_tac status goal)
+ in
+ atomic_tac (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ (fun s -> select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
+ compute_goal_sort_tac;
+ (fun status ->
+ let sort = HExtlib.unopt !sort in
+ let ity = HExtlib.unopt !indtyinfo in
+ let NReference.Ref (uri, _) = ity.reference in
+ let status, sort = term_of_cic_term status sort (ctx_of sort) in
+ let name = NUri.name_of_uri uri ^
+ match sort with
+ | NCic.Sort NCic.Prop -> "_ind"
+ | NCic.Sort _ -> "_rect"
+ | _ -> assert false
+ in
+ let holes =
+ HExtlib.mk_list Ast.Implicit (ity.leftno+1+ ity.consno + ity.rightno) in
+ let eliminator =
+ let _,_,w = what in
+ Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
+ in
+ exact_tac ("",0,eliminator) status) ])
+;;
+
+let rewrite_tac ~dir ~what:(_,_,what) ~where =
+ let name =
+ match dir with `LeftToRight -> "eq_elim_r" | `RightToLeft -> "eq_ind"
+ in
+ block_tac
+ [ select_tac ~where ~job:(`Substexpand 1) true;
+ exact_tac
+ ("",0,
+ Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list Ast.Implicit 5 @
+ [what]))]
+;;
+
+let intro_tac name =
+ block_tac
+ [ exact_tac
+ ("",0,(Ast.Binder (`Lambda,
+ (Ast.Ident (name,None),None),Ast.Implicit)));
+ if name = "_" then clear_tac [name] else id_tac ]
+;;
+
+let cases ~what status goal =
+ let gty = get_goalty status goal in
+ let status, what = disambiguate status what None (ctx_of gty) in
+ let status, ty = typeof status (ctx_of what) what in
+ let status, (ref, consno, _, _) = analyse_indty status ty in
+ let status, what = term_of_cic_term status what (ctx_of gty) in
+ let t =
+ NCic.Match (ref,NCic.Implicit `Term, what,
+ HExtlib.mk_list (NCic.Implicit `Term) consno)
+ in
+ let ctx = ctx_of gty in
+ let status,t,ty = refine status ctx (mk_cic_term ctx t) (Some gty) in
+ instantiate status goal t