lstatus : LexiconEngine.status
}
-type lowtactic = lowtac_status * int -> lowtac_status * int list * int list
+type lowtactic = lowtac_status -> int -> lowtac_status
type tac_status = {
gstatus : Continuationals.Stack.t;
type tactic = tac_status -> tac_status
type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
+type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
let pp_tac_status status =
prerr_endline (NCicPp.ppobj status.istatus.pstatus)
;;
+let pp_lowtac_status status =
+ prerr_endline "--------------------------------------------";
+ prerr_endline (NCicPp.ppobj status.pstatus)
+;;
+
open Continuationals.Stack
let dot_tac status =
{ status with gstatus = new_gstatus }
;;
-let fold_tactic tac status =
+let block_tac l status =
+ List.fold_left (fun status tac -> tac status) status l
+;;
+
+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
+
+ 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 stack = [ [0,Open g], [], [], `NoTag ] in
+ let status = tac { gstatus = stack ; istatus = low_status } in
+ status.istatus
+;;
+
+let distribute_tac tac status =
match status.gstatus with
| [] -> assert false
| (g, t, k, tag) :: s ->
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 }
;;
-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)
+type cic_term = NCic.conjecture
+type ast_term = string * int * CicNotationPt.term
+type position = [ `Ctx of NCic.context | `Term of cic_term ]
+
+
+let relocate context (name,ctx,t as term) =
+ 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 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 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 context ty in Some x
in
- let subst, metasenv =
- (goal, (name, context, t, gty)):: subst,
- List.filter(fun (x,_) -> x <> goal) metasenv
+ let metasenv, subst, lexicon_status, t =
+ GrafiteDisambiguate.disambiguate_nterm expty
+ status.lstatus context metasenv subst t
in
- let open_goals, closed_goals = compare_menv ~past:old_metasenv ~present:metasenv in
let new_pstatus = uri,height,metasenv,subst,obj in
+ { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, t)
+;;
- 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 in_scope_tag = "tag:in_scope" ;;
+let out_scope_tag = "tag:out_scope" ;;
- { lstatus = lexicon_status; pstatus = new_pstatus }, open_goals, closed_goals
+let typeof status where t =
+ let _,_,metasenv,subst,_ = status.pstatus in
+ let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
+ let _,_,t = relocate ctx t in
+ let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
+ None, ctx, ty
+;;
+
+let whd status ?delta where t =
+ let _,_,metasenv,subst,_ = status.pstatus in
+ let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
+ let _,_,t = relocate ctx t in
+ let t = NCicReduction.whd ~subst ?delta ctx t in
+ None, ctx, t
+;;
+
+let unify status where a b =
+ let n,h,metasenv,subst,o = status.pstatus in
+ let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
+ let _,_,a = relocate ctx a in
+ let _,_,b = relocate ctx b in
+ let metasenv, subst =
+ NCicUnification.unify (NCicUnifHint.db ()) metasenv subst ctx a b
+ in
+ { status with pstatus = n,h,metasenv,subst,o }
+;;
+
+let refine status where term expty =
+ let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
+ let nt,_,term = relocate ctx term in
+ let ne, ty =
+ match expty with None -> None, None
+ | Some e -> let n,_, e = relocate ctx e in Some n, Some e
+ in
+ let name,height,metasenv,subst,obj = status.pstatus in
+ let db = NCicUnifHint.db () in (* XXX fixme *)
+ let coercion_db = NCicCoercion.db () in
+ let look_for_coercion = NCicCoercion.look_for_coercion coercion_db in
+ let metasenv, subst, t, ty =
+ NCicRefiner.typeof db ~look_for_coercion metasenv subst ctx term ty
+ in
+ { status with pstatus = (name,height,metasenv,subst,obj) },
+ (nt,ctx,t), (ne,ctx,ty)
+;;
+
+let get_goal (status : lowtac_status) (g : int) =
+ let _,_,metasenv,_,_ = status.pstatus in
+ List.assoc g metasenv
;;
-let apply_tac t = fold_tactic (apply t) ;;
+let instantiate status i t =
+ let (goalname, context, _ as ety) = get_goal status i in
+ let status, (_,_,t), (_,_,ty) = refine status (`Term ety) t (Some ety) in
+ let name,height,metasenv,subst,obj = status.pstatus in
+ let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
+ let subst = (i, (goalname, context, t, ty)) :: subst in
+ { status with pstatus = (name,height,metasenv,subst,obj) }
+;;
+
+let mk_meta status ?name where bo_or_ty =
+ let n,h,metasenv,subst,o = status.pstatus in
+ let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
+ match bo_or_ty with
+ | `Decl ty ->
+ let _,_,ty = relocate ctx ty in
+ let metasenv, _, instance, _ =
+ NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
+ in
+ let status = { status with pstatus = n,h,metasenv,subst,o } in
+ status, (None,ctx,instance)
+ | `Def bo ->
+ let _,_,ty = typeof status (`Ctx ctx) bo in
+ let metasenv, metano, instance, _ =
+ NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
+ in
+ let status = { status with pstatus = n,h,metasenv,subst,o } in
+ let status = instantiate status metano bo in
+ status, (None,ctx,instance)
+;;
+
+let select_term low_status (name,context,term) (wanted,path) =
+ let found status ctx t wanted =
+ (* we could lift wanted step-by-step *)
+ try true, unify status (`Ctx ctx) (None,ctx,t) wanted
+ with
+ | NCicUnification.UnificationFailure _
+ | NCicUnification.Uncertain _ -> false, status
+ in
+ let match_term status ctx (wanted : cic_term) t =
+ let rec aux ctx status t =
+ let b, status = found status ctx t wanted in
+ if b then
+ let status, (_,_,t) =
+ mk_meta status ~name:in_scope_tag (`Ctx ctx) (`Def (None,ctx,t))
+ in
+ status, t
+ else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
+ in
+ aux ctx status t
+ in
+ let rec select status ctx pat cic =
+ match pat, cic with
+ | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
+ let status, t = select status ctx t1 t2 in
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Def (s2,t2)) :: ctx in
+ let status, b = select status ctx b1 b2 in
+ status, NCic.LetIn (n,t,s,b)
+ | NCic.Lambda (_,s1,t1), NCic.Lambda (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.Lambda (n,s,t)
+ | 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, x::l)
+ (status,[]) l1 l2
+ in
+ status, NCic.Appl (List.rev l)
+ | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
+ let status, t = select status ctx t1 t2 in
+ let status, ot = select status ctx ot1 ot2 in
+ let status, pl =
+ List.fold_left2
+ (fun (status,l) x y ->
+ let status, x = select status ctx x y in
+ status, x::l)
+ (status,[]) pl1 pl2
+ in
+ status, NCic.Match (u,ot,t,List.rev pl)
+ | NCic.Implicit `Hole, t ->
+ (match wanted with
+ | Some wanted ->
+ let status, wanted = disambiguate status wanted None (`Ctx ctx) in
+ match_term status ctx wanted t
+ | None -> match_term status ctx (None,ctx,t) t)
+ | NCic.Implicit _, t -> status, t
+ | _,t ->
+ fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
+ ~context:[] ~subst:[] pat))
+ in
+ let status, term = select low_status context path term in
+ let term = (name, context, term) in
+ mk_meta status ~name:out_scope_tag (`Ctx context) (`Def term)
+;;
+
+let select ~where status goal =
+ let name, _, _ as goalty = get_goal 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 ?name (`Term newgoalty) (`Decl newgoalty)
+ in
+ instantiate status goal instance
+;;
+
+let select_tac ~where = distribute_tac (select ~where) ;;
+
+let exact t status goal =
+ let goalty = get_goal status goal in
+ let status, t = disambiguate status t (Some goalty) (`Term goalty) in
+ instantiate status goal t
+;;
+
+let exact_tac t = distribute_tac (exact t) ;;
+
+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 ~where ~with_what status goal =
+ let (name,_,_ as goalty) = get_goal 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 (`Term goalty) (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 ?name (`Term newgoalty) (`Decl newgoalty)
+ in
+ instantiate status goal instance
+;;
+
+let apply t status goal = exact t status goal;;
+
+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_goal status goal in
+ let status, (_,_,w as what) =
+ disambiguate status what None (`Term goalty) in
+ let _ty_what = typeof status (`Term 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
+;;
+
+let intro_tac name =
+ exact_tac
+ ("",0,(CicNotationPt.Binder (`Lambda,
+ (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
+;;
+
+let analyse_indty status ty =
+ let ref, args =
+ match whd status (`Term ty) ty with
+ | _,_,NCic.Const ref -> ref, []
+ | _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
+ | _,_,_ -> fail (lazy ("not an inductive type")) in
+ let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
+ let _,_,_,cl = List.nth tl i in
+ let consno = List.length cl in
+ let left, right = HExtlib.split_nth lno args in
+ ref, consno, left, right
+;;
+
+let case status goal =
+ let _,ctx,_ = get_goal status goal in
+ let ty = typeof status (`Ctx ctx) ("",ctx,NCic.Rel 1) 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 status,t,ty = refine status (`Ctx ctx) ("",ctx,t) None in
+ instantiate status goal t
+;;
+
+let case_tac = distribute_tac case;;
+
+let case1_tac name =
+ block_tac [ intro_tac name; case_tac ]
+;;
projects / helm.git / blobdiff