let debug = true
let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
-exception Error of string lazy_t
-let fail msg = raise (Error msg)
-
-type lowtac_status = {
- pstatus : NCic.obj;
- lstatus : LexiconEngine.status
-}
-
-type lowtactic = lowtac_status * int -> lowtac_status * int list * int list
-
-type tac_status = {
- gstatus : Continuationals.Stack.t;
- istatus : lowtac_status;
-}
-
-type tactic = tac_status -> tac_status
-
-type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
-
-let pp_tac_status status =
- prerr_endline (NCicPp.ppobj status.istatus.pstatus)
-;;
-
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 block_tac l status =
List.fold_left (fun status tac -> tac status) status l
;;
-
-let compare_menv ~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)
+
+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 present)) past)
;;
+
+
(* Exec and distribute_tac form a retraction pair:
1) exec (distribute_tac low_tac) (s,i) = low_tac (s,i)
2) tac [s]::G = G1::...::Gn::G' && G' is G with some goals closed =>
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
(e.g. the tactic could perform a global analysis of the set of goals)
*)
-let exec tac (low_status,g) =
+let exec tac low_status g =
let stack = [ [0,Open g], [], [], `NoTag ] in
- let _,_,old_metasenv,_,_ = low_status.pstatus in
let status = tac { gstatus = stack ; istatus = low_status } in
- let _,_,metasenv,_,_ = status.istatus.pstatus in
- let open_goals, closed_goals =
- compare_menv ~past:old_metasenv ~present:metasenv
- in
- status.istatus, open_goals, closed_goals
+ status.istatus
;;
let distribute_tac tac status =
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 =
match switch_of_loc loc with
| Closed _ -> fail (lazy "cannot apply to a Closed goal")
| Open n ->
- let s, go', gc' = tac (s,n) in
- s, (go @- gc') @+ go', gc @+ gc'
+ let sn = tac s n in
+ let go', gc' = compare_statuses ~past:s ~present:sn in
+ 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) ;;
-type cic_term = NCic.conjecture
-type ast_term = string * int * CicNotationPt.term
-type position = Ctx of NCic.context | Term of cic_term
+let exact_tac t = 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 relocate (name,ctx,t as term) context =
- if ctx = context then term else assert false
+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 disambiguate (status : lowtac_status) (t : ast_term)
- (ty : cic_term option) (where : position) =
- let uri,height,metasenv,subst,obj = status.pstatus in
- let context = match where with Ctx c -> c | Term (_,c,_) -> c in
- let expty =
- match ty with
- | None -> None | Some ty -> let _,_,x = relocate ty context in Some x
- in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm expty
- status.lstatus context metasenv subst t
- in
- let new_pstatus = uri,height,metasenv,subst,obj in
- { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, 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 get_goal (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
- List.assoc g metasenv
+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 return ~orig status =
- let _,_,past,_,_ = orig.pstatus in
- let _,_,present,_,_ = status.pstatus in
- let open_goals, closed_goals = compare_menv ~past ~present in
- status, open_goals, closed_goals
+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
+ 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 instantiate status i t =
- let name,height,metasenv,subst,obj = status.pstatus in
- let _, context, ty = List.assoc i metasenv in
- let _,_,t = relocate t context in
- let m = NCic.Meta (i,(0,NCic.Irl (List.length context))) in
- let db = NCicUnifHint.db () in (* XXX fixme *)
- let metasenv, subst = NCicUnification.unify db metasenv subst context m t in
- { status with pstatus = (name,height,metasenv,subst,obj) }
+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 apply t (status as orig, goal) =
- let goalty = get_goal status goal in
- let status, t = disambiguate status t (Some goalty) (Term goalty) in
- let status = instantiate status goal t in
- return ~orig status
+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 apply t (status,goal) =
- let uri,height,(metasenv as old_metasenv), subst,obj = status.pstatus in
- let name,context,gty = List.assoc goal metasenv in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm (Some gty)
- status.lstatus context metasenv subst t
+
+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 subst, metasenv =
- (goal, (name, context, t, gty)):: subst,
- List.filter(fun (x,_) -> x <> goal) metasenv
+ let in_m, out_m =
+ List.partition
+ (function (_,(Some tag,_,_,_)) ->
+ tag = NCicMetaSubst.in_scope_tag | _ -> assert false)
+ newm
in
- let open_goals, closed_goals =
- compare_menv ~past:old_metasenv ~present:metasenv in
- let new_pstatus = uri,height,metasenv,subst,obj 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
+;;
+
+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 = 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
+
+ let j,(n,cctx,bo,_) = out_scope in
+ let _ = typeof status (ctx_of goalty) (Obj.magic (n,cctx,bo)) in
+
+ 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 status, instance =
+ 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_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 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)
+;;
- prerr_endline ("termine disambiguato: " ^
- NCicPp.ppterm ~context ~metasenv ~subst t);
- prerr_endline ("menv:" ^ NCicPp.ppmetasenv ~subst metasenv);
- prerr_endline ("subst:" ^ NCicPp.ppsubst subst ~metasenv);
- prerr_endline "fine napply";
+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
+ Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
+ in
+ exact_tac ("",0,eliminator))) ])
+;;
- { lstatus = lexicon_status; pstatus = new_pstatus }, open_goals, closed_goals
+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 apply_tac t = distribute_tac (apply t) ;;
+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 ty = typeof status (ctx_of what) what in
+ let ref, consno, _, _ = analyse_indty status ty in
+ let t =
+ 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) (Some gty) in
+ instantiate status goal t
+;;
+
+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;
+ cases_tac
+ ~where:("",0,(None,[],None))
+ ~what:("",0,Ast.Ident (name,None));
+ if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
+;;
projects / helm.git / blobdiff