open Continuationals.Stack
open NTacStatus
+module Ast = CicNotationPt
+
+let id_tac status = status ;;
+let print_tac print_status message status =
+ if print_status then pp_tac_status 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)
- in
- instantiate status goal instance
+ let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
+ instantiate status goal t)
;;
-let select_tac ~where = distribute_tac (select ~where) ;;
+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 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 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 exact_tac t = distribute_tac (exact t) ;;
+let generalize0_tac args =
+ if args = [] then id_tac
+ else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
+;;
-let reopen status =
- let n,h,metasenv,subst,o = status.pstatus in
- let subst, newm =
- List.partition
- (function (_,(Some tag,_,_,_)) ->
- tag <> NCicMetaSubst.in_scope_tag &&
- not (NCicMetaSubst.is_out_scope_tag tag)
- | _ -> true)
- subst
- in
- let in_m, out_m =
- List.partition
- (function (_,(Some tag,_,_,_)) ->
- tag = NCicMetaSubst.in_scope_tag | _ -> assert false)
- newm
+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
- let metasenv = List.map (fun (i,(_,c,_,t)) -> i,(None,c,t)) in_m @ metasenv in
- let in_m = List.map fst in_m in
- let out_m = match out_m with [i] -> i | _ -> assert false in
- { status with pstatus = n,h,metasenv,subst,o }, in_m, out_m
+ 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, 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, instance =
+ mk_meta status newgoalctx (`Decl newgoalty)
+ in
+ instantiate status goal instance)
;;
-let change ~where ~with_what status goal =
- let goalty = get_goalty status goal in
- let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
+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
- let status, newgoalty = select_term status 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
+ 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 j,(n,cctx,bo,_) = out_scope in
- let _ = typeof status (ctx_of goalty) (Obj.magic (n,cctx,bo)) in
+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 ->
+ 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
+ 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 n,h,metasenv,subst,o = status.pstatus in
- let subst = out_scope :: subst in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
+let eval_tac ~reduction ~where =
+ let change status t =
+ match reduction with
+ | `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 status, instance =
- mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
- in
- instantiate status goal instance
+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 apply t status goal = exact t status goal;;
+let letin_tac ~where:(_,_,(m,hyp,gp)) ~what:(_,_,w) name =
+ assert(m = None);
+ let where = Some w, [],
+ match gp with
+ | None -> Some Ast.Implicit
+ | Some where ->
+ Some
+ (List.fold_left
+ (fun t _ ->
+ Ast.Binder(`Pi,(Ast.Ident("_",None),Some Ast.UserInput),t))
+ where hyp)
+ in
+ block_tac [
+ generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyp);
+ exact_tac ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit));
+ change_tac ~where:("",0,where) ~with_what:("",0,Ast.Ident (name,None))
+ ]
+;;
-let apply_tac t = distribute_tac (apply t) ;;
-let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
+let apply_tac = exact_tac;;
-let elim_tac ~what ~where status =
- block_tac
- [ select_tac ~where;
- distribute_tac (fun status goal ->
- let goalty = get_goalty status goal in
- 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
+type indtyinfo = {
+ rightno: int;
+ leftno: int;
+ consno: int;
+ lefts: NCic.term list;
+ rights: NCic.term list;
+ reference: NReference.reference;
+ }
;;
-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 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 clear name status goal =
- let goalty = get_goalty status goal in
- let j =
- try find_in_context name (ctx_of goalty)
- with Not_found -> fail (lazy ("hypothesis '" ^ name ^ "' not found")) in
- let n,h,metasenv,subst,o = status.pstatus in
- let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal [j] in
- { status with pstatus = n,h,metasenv,subst,o }
+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 istatus, sort = term_of_cic_term status.istatus sort (ctx_of sort) in
+ let status = { status with istatus = istatus } 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 clear_tac name = distribute_tac (clear name);;
+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,(CicNotationPt.Binder (`Lambda,
- (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)));
- if name = "_" then clear_tac name else fun x -> x ]
+ ("",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 ty = typeof status (ctx_of what) what in
- let ref, consno, left, right = analyse_indty status ty 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, term_of_cic_term what (ctx_of gty),
+ NCic.Match (ref,NCic.Implicit `Term, what,
HExtlib.mk_list (NCic.Implicit `Term) consno)
in
let ctx = ctx_of gty in
;;
let cases_tac ~what ~where =
- block_tac [ select_tac ~where ; distribute_tac (cases ~what) ]
+ let indtyinfo = ref None in
+ atomic_tac
+ (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ (fun s -> select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true s);
+ distribute_tac (cases ~what) ])
;;
let case1_tac name =
+ let name = if name = "_" then "_clearme" else name in
block_tac [ intro_tac name;
cases_tac
~where:("",0,(None,[],None))
- ~what:("",0,CicNotationPt.Ident (name,None)) ]
+ ~what:("",0,Ast.Ident (name,None));
+ if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
;;