open Continuationals.Stack
open NTacStatus
+module Ast = CicNotationPt
+
+let id_tac status = status ;;
+let print_tac message status = prerr_endline message; status ;;
let dot_tac status =
let new_gstatus =
let compare_statuses ~past ~present =
let _,_,past,_,_ = past.pstatus in
let _,_,present,_,_ = present.pstatus in
- List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i past)) present),
+ List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present),
List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past)
;;
distribute_tac (exec tac) [s]::G = (G1@...Gn)::G'
3) tac G = distribute_tac (exec tac) G if
tac = distribute_tac lowtac
+ 4) atomic_tac t === distribute_tac (exec t)
Note that executing an high tactic on a set of goals may be stronger
than executing the same tactic on those goals, but once at a time
debug_print (lazy ("context length " ^string_of_int (List.length g)));
let rec aux s go gc =
function
- | [] -> s, go, gc
+ | [] ->
+ debug_print (lazy "no selected goals");
+ s, go, gc
| loc :: loc_tl ->
debug_print (lazy "inner eval tactical");
let s, go, gc =
| Open n ->
let sn = tac s n in
let go', gc' = compare_statuses ~past:s ~present:sn in
- sn, (go @- gc') @+ go', gc @+ gc'
+ sn, ((go @+ [n]) @- gc') @+ go', gc @+ gc'
in
aux s go gc loc_tl
in
{ gstatus = stack; istatus = sn }
;;
+let atomic_tac htac = distribute_tac (exec htac) ;;
-let select ~where status goal =
+let exact_tac t = distribute_tac (fun status goal ->
let goalty = get_goalty status goal in
- let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
- let path =
- match where with None -> NCic.Implicit `Term | Some where -> where
- in
- let status, newgoalty = select_term status goalty (wanted,path) in
- let status, instance =
- mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
+ let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
+ instantiate status goal t)
+;;
+
+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.pstatus in
+ let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in
+ { status with pstatus = n,h,metasenv,subst,o })
+;;
+
+let force f s = Lazy.force f s;;
+
+let generalize0_tac args =
+ if args = [] then id_tac
+ else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
+;;
+
+let select0_tac ~where:(wanted,_,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
in
- instantiate status goal instance
+ 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, newgoalty =
+ select_term status ~found ~postprocess goalty (wanted,path)
+ in
+ let status, instance =
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
+ in
+ instantiate status goal instance)
;;
-let select_tac ~where = distribute_tac (select ~where) ;;
+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 exact t 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 generalize_tac ~where =
+ let l = ref [] in
+ block_tac [
+ select_tac ~where ~job:(`Collect l) true;
+ force (lazy (distribute_tac (fun status goal ->
+ if !l = [] then fail (lazy "No term to generalize");
+ let goalty = get_goalty status goal in
+ let canon = List.hd !l in
+ let status =
+ List.fold_left
+ (fun s t -> unify s (ctx_of goalty) canon t) status (List.tl !l)
+ in
+ instantiate status goal
+ (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ;
+ term_of_cic_term canon (ctx_of goalty) ]))
+ ))) ]
;;
-let exact_tac t = distribute_tac (exact t) ;;
let reopen status =
let n,h,metasenv,subst,o = status.pstatus in
;;
let change ~where ~with_what status goal =
+assert false; (*
let goalty = get_goalty status goal in
let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
let path =
match where with None -> NCic.Implicit `Term | Some where -> where
in
- let status, newgoalty = select_term status goalty (wanted,path) in
+ let status, newgoalty = assert false (*
+ select_term status 1 goalty (wanted,path)*) in
let status, in_scope, out_scope = reopen status in
let status = List.fold_left (exact with_what) status in_scope in
mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
instantiate status goal instance
+*)
;;
+let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
-let apply t status goal = exact t status goal;;
+let apply_tac = exact_tac;;
-let apply_tac t = distribute_tac (apply t) ;;
-let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
+type indtyinfo = {
+ rightno: int;
+ leftno: int;
+ consno: int;
+ lefts: NCic.term list;
+ rights: NCic.term list;
+ reference: NReference.reference;
+ }
+;;
-let elim_tac ~what ~where status =
- block_tac
- [ select_tac ~where;
- distribute_tac (fun status goal ->
- let goalty = get_goalty status goal in
+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 ty_what = typeof status (ctx_of what) what in
+ let 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 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;
+ force (lazy (select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true));
+ compute_goal_sort_tac;
+ force (lazy (
+ let sort = HExtlib.unopt !sort in
+ let ity = HExtlib.unopt !indtyinfo in
+ let NReference.Ref (uri, _) = ity.reference in
+ let name = NUri.name_of_uri uri ^
+ match term_of_cic_term sort (ctx_of 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
- let status, what =
- disambiguate status what None (ctx_of goalty) in
- let _ty_what = typeof status (ctx_of what) what in
- (* check inductive... find eliminator *)
- let holes = [
- CicNotationPt.Implicit;CicNotationPt.Implicit;CicNotationPt.Implicit]
- in
- let eliminator =
- CicNotationPt.Appl(CicNotationPt.Ident("nat_ind",None)::holes @ [ w ])
- in
- exec (apply_tac ("",0,eliminator)) status goal) ]
- status
+ Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
+ in
+ exact_tac ("",0,eliminator))) ])
+;;
+
+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 =
- exact_tac
- ("",0,(CicNotationPt.Binder (`Lambda,
- (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
+ 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 case ~what status goal =
+let cases ~what status goal =
let gty = get_goalty status goal in
let status, what = disambiguate status what None (ctx_of gty) in
let ty = typeof status (ctx_of what) what in
- let ref, consno, left, right = analyse_indty status ty in
+ let ref, consno, _, _ = analyse_indty status ty in
let t =
- NCic.Match (ref,NCic.Implicit `Term,NCic.Rel 1,
+ NCic.Match (ref,NCic.Implicit `Term, term_of_cic_term what (ctx_of gty),
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) None in
+ let status,t,ty = refine status ctx (mk_cic_term ctx t) (Some gty) in
instantiate status goal t
;;
-let case_tac ~what = distribute_tac (case ~what);;
+let cases_tac ~what ~where =
+ let indtyinfo = ref None in
+ atomic_tac
+ (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ force (lazy (select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true));
+ distribute_tac (cases ~what) ])
+;;
let case1_tac name =
+ let name = if name = "_" then "_clearme" else name in
block_tac [ intro_tac name;
- case_tac ~what:("",0,CicNotationPt.Ident (name,None)) ]
+ cases_tac
+ ~where:("",0,(None,[],None))
+ ~what:("",0,Ast.Ident (name,None));
+ if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
;;