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
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 =>
(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 =
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 @- gc') @+ go', gc @+ gc'
in
aux s go gc loc_tl
in
{ gstatus = stack; istatus = sn }
;;
-type cic_term = NCic.conjecture
-type ast_term = string * int * CicNotationPt.term
-type position = Ctx of NCic.context | Term of cic_term
-
-let relocate (name,ctx,t as term) context =
- let is_prefix l1 l2 =
- let rec aux = function
- | [],[] -> true
- | x::xs, y::ys -> x=y && aux (xs,ys)
- | _ -> false
- in
- aux (List.rev l1, List.rev l2)
- in
- if ctx = context then term else
- if is_prefix ctx context then
- (name, context,
- NCicSubstitution.lift (List.length context - List.length ctx) t)
- else
- assert false
-;;
-
-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
+let select ~where 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 metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm expty
- status.lstatus context metasenv subst t
+ let status, newgoalty = select_term status goalty (wanted,path) in
+ let status, instance =
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
- let new_pstatus = uri,height,metasenv,subst,obj in
- { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, t)
+ instantiate status goal instance
;;
-let select_term low_status (name,context,term) (path, matched) =
- let eq context (status as old_status) t1 t2 =
- let _,_,t2 = relocate t2 context in
- if t2 = t1 then true, status else false, old_status
- in
- let match_term m =
- let rec aux ctx status t =
- let b, status = eq ctx status t m in
- if b then
- let n,h,metasenv,subst,o = status.pstatus in
- let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
- let metasenv, instance, ty =
- NCicMetaSubst.mk_meta ~name:"expanded" metasenv ctx (`WithType ty)
- in
- let metasenv, subst =
- NCicUnification.unify (NCicUnifHint.db ()) metasenv subst ctx
- t instance
- in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- status, instance
- else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
- in
- aux
- in
- let rec select status ctx pat cic =
- match pat, cic with
- | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Decl s2) :: ctx in
- let status, t = select status ctx t1 t2 in
- status, NCic.Prod (n,s,t)
- | NCic.Appl l1, NCic.Appl l2 ->
- let status, l =
- List.fold_left2
- (fun (status,l) x y ->
- let status, x = select status ctx x y in
- status, l @ [x])
- (status,[]) l1 l2
- in
- status, NCic.Appl l
- | NCic.Implicit `Hole, t -> status, t
- | NCic.Implicit `Term, t ->
- let status, matched = disambiguate status matched None (Ctx ctx) in
- match_term matched ctx status t
- | _,t -> status, t
- in
- let status, term = select low_status context path term in
- let _,_,_,subst,_ = status.pstatus in
- let selections =
- HExtlib.filter_map
- (function (i,(Some "expanded",c,_,_)) -> Some i | _ -> None)
- subst
- in
- status, (name, context, term), selections
-;;
+let select_tac ~where = distribute_tac (select ~where) ;;
-let get_goal (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
- List.assoc g metasenv
+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 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 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 exact_tac t = distribute_tac (exact t) ;;
-let mkmeta name status (_,ctx,ty) =
- let n,h,metasenv,s,o = status.pstatus in
- let metasenv, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
- in
- let status = { status with pstatus = n,h,metasenv,s,o } in
- status, (name,ctx,instance)
-;;
-
-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 reopen status =
+ let n,h,metasenv,subst,o = status.pstatus in
+ let subst, newm =
+ List.partition
+ (function (_,(Some tag,_,_,_)) ->
+ tag <> in_scope_tag && tag <> out_scope_tag
+ | _ -> true)
+ subst
+ in
+ let in_m, out_m =
+ List.partition
+ (function (_,(Some tag,_,_,_)) -> tag = in_scope_tag | _ -> assert false)
+ newm
+ 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 what (*where*) with_what (status as orig, goal) =
- let (name,_,_ as goalty) = get_goal status goal in
- let status, newgoalty, selections =
- select_term status goalty
- (NCic.Prod ("_",NCic.Implicit `Hole,NCic.Implicit `Term), what)
+let change ~where ~with_what 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, 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, newm =
- List.partition (fun i,_ -> not (List.mem i selections)) subst
- in
- let metasenv = List.map (fun (i,(n,c,_,t)) -> i,(n,c,t)) newm @ metasenv in
+ let subst = out_scope :: subst in
let status = { status with pstatus = n,h,metasenv,subst,o } in
- let status = (* queste sono apply, usa un tatticale! *)
- List.fold_left
- (fun status i ->
- let x = get_goal status i in
- let status, with_what =
- disambiguate status with_what (Some x) (Term x)
- in
- instantiate status i with_what)
- status selections
+ let status, instance =
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
- let status, m = mkmeta name status newgoalty in
- let status = instantiate status goal m in
- return ~orig status
+ instantiate status goal instance
;;
-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
- in
- let subst, metasenv =
- (goal, (name, context, t, gty)):: subst,
- List.filter(fun (x,_) -> x <> goal) metasenv
- in
- let open_goals, closed_goals =
- compare_menv ~past:old_metasenv ~present:metasenv in
- let new_pstatus = uri,height,metasenv,subst,obj in
+let apply t status goal = exact t 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 apply_tac t = distribute_tac (apply t) ;;
+let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
+
+let elim_tac ~what ~where status =
+ block_tac
+ [ select_tac ~where;
+ 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
+ (* check inductive... find eliminator *)
+ let w = (*astify what *) CicNotationPt.Ident ("m",None) in
+ 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
+;;
- { lstatus = lexicon_status; pstatus = new_pstatus }, open_goals, closed_goals
+let intro_tac name =
+ exact_tac
+ ("",0,(CicNotationPt.Binder (`Lambda,
+ (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
;;
-let apply_tac t = distribute_tac (apply t) ;;
-let change_tac w ww = distribute_tac (change w ww) ;;
+let case ~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 t =
+ NCic.Match (ref,NCic.Implicit `Term,NCic.Rel 1,
+ 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
+ instantiate status goal t
+;;
+let case_tac ~what = distribute_tac (case ~what);;
+
+let case1_tac name =
+ block_tac [ intro_tac name;
+ case_tac ~what:("",0,CicNotationPt.Ident (name,None)) ]
+;;
projects / helm.git / blobdiff