(* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *)
-exception Error of string lazy_t
-let fail msg = raise (Error msg)
+let debug = ref false;;
+let pp x =
+ if !debug then prerr_endline (Lazy.force x) else ()
+;;
-type lowtac_status = {
- pstatus : NCic.obj;
- lstatus : LexiconEngine.status
-}
+exception Error of string lazy_t * exn option
+let fail ?exn msg = raise (Error (msg,exn))
-type lowtactic = lowtac_status -> int -> lowtac_status
+module NRef = NReference
-type tac_status = {
- gstatus : Continuationals.Stack.t;
- istatus : lowtac_status;
-}
+let wrap fname f x =
+ try f x
+ with
+ | MultiPassDisambiguator.DisambiguationError _
+ | NCicRefiner.RefineFailure _
+ | NCicUnification.UnificationFailure _
+ | NCicTypeChecker.TypeCheckerFailure _
+ | NCicMetaSubst.MetaSubstFailure _ as exn -> fail ~exn (lazy fname)
+;;
-type tactic = tac_status -> tac_status
+class pstatus =
+ fun (o: NCic.obj) ->
+ object
+ inherit NEstatus.status
+ val obj = o
+ method obj = obj
+ method set_obj o = {< obj = o >}
+ end
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_status status =
+ pp (lazy (NCicPp.ppobj status#obj))
;;
-let pp_lowtac_status status =
- prerr_endline "--------------------------------------------";
- prerr_endline (NCicPp.ppobj status.pstatus)
+type cic_term = NCic.context * NCic.term
+let ctx_of (c,_) = c ;;
+let mk_cic_term c t = c,t ;;
+
+let ppterm status t =
+ let uri,height,metasenv,subst,obj = status#obj in
+ let context,t = t in
+ NCicPp.ppterm ~metasenv ~subst ~context t
;;
-type cic_term = NCic.conjecture (* name, context, term *)
-let ctx_of (_,c,_) = c ;;
+let ppcontext status c =
+ let uri,height,metasenv,subst,obj = status#obj in
+ NCicPp.ppcontext ~metasenv ~subst c
+;;
-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 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 ppterm_and_context status t =
+ let uri,height,metasenv,subst,obj = status#obj in
+ let context,t = t in
+ NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
+ NCicPp.ppterm ~metasenv ~subst ~context t
;;
+let relocate status destination (source,t as orig) =
+ pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
+ pp(lazy("relocate in:\n" ^ ppcontext status destination));
+ let rc =
+ if source == destination then status, orig else
+ let _, _, metasenv, subst, _ = status#obj in
+ let rec compute_ops ctx = function (* destination, source *)
+ | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
+ compute_ops (e::ctx) (cl1,cl2)
+ else
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
+ compute_ops (e::ctx) (cl1,cl2)
+ else
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
+ compute_ops (e::ctx) (cl1,cl2)
+ else
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
+ | [], _::_ -> [ `Delift ctx ]
+ | [],[] -> []
+ in
+ let ops = compute_ops [] (List.rev destination, List.rev source) in
+ let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
+ List.fold_left
+ (fun (status, (source,t)) -> function
+ | `Lift extra_ctx ->
+ let len = List.length extra_ctx in
+ status, (extra_ctx@source, NCicSubstitution.lift len t)
+ | `Delift ctx ->
+ let len_ctx = List.length ctx in
+ let irl = mk_irl 1 (List.length ctx) in
+ let lc = List.length source - len_ctx, NCic.Ctx irl in
+ let u, d, metasenv, subst, o = status#obj in
+ pp(lazy("delifting as " ^
+ NCicPp.ppterm ~metasenv ~subst ~context:source
+ (NCic.Meta (0,lc))));
+ let (metasenv, subst), t =
+ NCicMetaSubst.delift
+ ~unify:(fun m s c t1 t2 ->
+ try Some (NCicUnification.unify status m s c t1 t2)
+ with
+ | NCicUnification.UnificationFailure _
+ | NCicUnification.Uncertain _ -> None)
+ metasenv subst source 0 lc t
+ in
+ let status = status#set_obj (u, d, metasenv, subst, o) in
+ status, (ctx,t))
+ (status,orig) ops
+ in
+ pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
+ rc
+;;
+let relocate a b c = wrap "relocate" (relocate a b) c;;
-type ast_term = string * int * CicNotationPt.term
+let term_of_cic_term s t c =
+ let s, (_,t) = relocate s c t in
+ s, t
+;;
-let disambiguate (status : lowtac_status) (t : ast_term)
- (ty : cic_term option) context =
- let uri,height,metasenv,subst,obj = status.pstatus in
- let expty =
+let disambiguate status context t ty =
+ let status, expty =
match ty with
- | None -> None | Some ty -> let _,_,x = relocate context ty in Some x
+ | None -> status, None
+ | Some ty ->
+ let status, (_,x) = relocate status context ty in status, Some x
in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm expty
- status.lstatus context metasenv subst t
+ let uri,height,metasenv,subst,obj = status#obj in
+ let metasenv, subst, status, t =
+ GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
in
let new_pstatus = uri,height,metasenv,subst,obj in
- { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, t)
+ status#set_obj new_pstatus, (context, t)
;;
+let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
let typeof status ctx t =
- let _,_,metasenv,subst,_ = status.pstatus in
- let _,_,t = relocate ctx t in
+ let status, (_,t) = relocate status ctx t in
+ let _,_,metasenv,subst,_ = status#obj in
let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
- None, ctx, ty
+ status, (ctx, ty)
;;
+let typeof a b c = wrap "typeof" (typeof a b) c;;
+
+let saturate status ?delta (ctx,t) =
+ let n,h,metasenv,subst,k = status#obj in
+ let t,metasenv,args = NCicMetaSubst.saturate ?delta metasenv subst ctx t 0 in
+ let status = status#set_obj (n,h,metasenv,subst,k) in
+ status, (ctx,t), List.map (fun x -> ctx,x) args
+;;
+let saturate a ?delta b = wrap "saturate" (saturate a ?delta) b;;
let whd status ?delta ctx t =
- let _,_,metasenv,subst,_ = status.pstatus in
- let name,_,t = relocate ctx t in
+ let status, (_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
let t = NCicReduction.whd ~subst ?delta ctx t in
- name, ctx, t
+ status, (ctx, t)
+;;
+
+let normalize status ?delta ctx t =
+ let status, (_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ let t = NCicTacReduction.normalize ~subst ?delta ctx t in
+ status, (ctx, t)
;;
let unify status ctx a b =
- let n,h,metasenv,subst,o = status.pstatus 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 status, (_,a) = relocate status ctx a in
+ let status, (_,b) = relocate status ctx b in
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
+ status#set_obj (n,h,metasenv,subst,o)
+;;
+let unify a b c d = wrap "unify" (unify a b c) d;;
+
+let fix_sorts status (ctx,t) =
+ let f () =
+ let name,height,metasenv,subst,obj = status#obj in
+ let metasenv, t =
+ NCicUnification.fix_sorts metasenv subst t in
+ let status = status#set_obj (name,height,metasenv,subst,obj) in
+ status, (ctx,t)
+ in
+ wrap "fix_sorts" f ()
;;
let refine status ctx term expty =
- let nt,_,term = relocate ctx term in
- let ne, expty =
- match expty with None -> None, None
- | Some e -> let n,_, e = relocate ctx e in n, Some e
+ let status, (_,term) = relocate status ctx term in
+ let status, expty =
+ match expty with
+ None -> status, None
+ | Some e ->
+ let status, (_, e) = relocate status ctx e in status, 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 expty
+ let name,height,metasenv,subst,obj = status#obj in
+ let metasenv,subst,t,ty =
+ NCicRefiner.typeof status metasenv subst ctx term expty
in
- { status with pstatus = (name,height,metasenv,subst,obj) },
- (nt,ctx,t), (ne,ctx,ty)
+ status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
;;
+let refine a b c d = wrap "refine" (refine a b c) d;;
-let get_goalty (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
- List.assoc g metasenv
+let get_goalty status g =
+ let _,_,metasenv,_,_ = status#obj in
+ try
+ let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
+ ctx, ty
+ with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
;;
-let instantiate status i t =
- let (gname, context, _ as gty) = get_goalty status i in
- let status, (_,_,t), (_,_,ty) =
- refine status (ctx_of gty) t (Some gty)
- in
+let get_subst status =
+ let _,_,_,subst,_ = status#obj in subst
+;;
- let name,height,metasenv,subst,obj = status.pstatus in
+let to_subst status i entry =
+ let name,height,metasenv,subst,obj = status#obj in
let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
- let subst = (i, (gname, context, t, ty)) :: subst in
- { status with pstatus = (name,height,metasenv,subst,obj) }
+ let subst = (i, entry) :: subst in
+ status#set_obj (name,height,metasenv,subst,obj)
;;
-let mk_meta status ?name ctx bo_or_ty =
- let n,h,metasenv,subst,o = status.pstatus in
+let instantiate status i t =
+ let _,_,metasenv,_,_ = status#obj in
+ let gname, context, gty = List.assoc i metasenv in
+ let status, (_,t), (_,ty) = refine status context t (Some (context,gty)) in
+ to_subst status i (gname,context,t,ty)
+;;
+
+let instantiate_with_ast status i t =
+ let _,_,metasenv,_,_ = status#obj in
+ let gname, context, gty = List.assoc i metasenv in
+ let ggty = mk_cic_term context gty in
+ let status, (_,t) = disambiguate status context t (Some ggty) in
+ to_subst status i (gname,context,t,gty)
+;;
+
+let mk_meta status ?(attrs=[]) ctx bo_or_ty kind =
match bo_or_ty with
| `Decl ty ->
- let _,_,ty = relocate ctx ty in
+ let status, (_,ty) = relocate status ctx ty in
+ let n,h,metasenv,subst,o = status#obj in
let metasenv, _, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
+ NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind
in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- status, (None,ctx,instance)
+ let status = status#set_obj (n,h,metasenv,subst,o) in
+ status, (ctx,instance)
| `Def bo ->
- let _,_,bo_ as bo = relocate ctx bo in
- let _,_,ty = typeof status ctx bo in
+ let status, (_,bo_ as bo) = relocate status ctx bo in
+ let status, (_,ty) = typeof status ctx bo in
+ let n,h,metasenv,subst,o = status#obj in
let metasenv, metano, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty) in
+ NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind in
+ let attrs,_,_ = NCicUtils.lookup_meta metano metasenv in
let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
- let subst = (metano, (name, ctx, bo_, ty)) :: subst in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- status, (None,ctx,instance)
+ let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
+ let status = status#set_obj (n,h,metasenv,subst,o) in
+ status, (ctx,instance)
+;;
+
+let mk_in_scope status t =
+ mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t) `IsTerm
;;
-let in_scope_tag = "tag:in_scope" ;;
-let out_scope_tag = "tag:out_scope" ;;
+let mk_out_scope n status t =
+ mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t) `IsTerm
+;;
-let select_term low_status (name,context,term) (wanted,path) =
- let found status ctx t wanted =
+(* the following unification problem will be driven by
+ * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
+ *
+ * ? args = t
+ *
+ * where argsn = length args and the pattern matches t
+ *
+ * found is called on every selected term to map them
+ * postprocess is called on the entire term after selection
+ *)
+let select_term
+ low_status ~found ~postprocess (context,term) (wanted,path)
+=
+ let is_found status ctx t wanted =
(* we could lift wanted step-by-step *)
- try true, unify status ctx (None, ctx, t) wanted
+ pp(lazy("is_found: "^ppterm status (ctx,t)));
+ try true, unify status ctx (ctx, t) wanted
with
- | NCicUnification.UnificationFailure _
- | NCicUnification.Uncertain _ -> false, status
+ | Error (_, Some (NCicUnification.UnificationFailure _))
+ | Error (_, Some (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 (`Def (None, ctx, t))
- in
- status, t
- else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
+ let rec aux ctx (status,already_found) t =
+ let b, status = is_found status ctx t wanted in
+ if b then
+ let status , (_,t) = found status (ctx, t) in
+ (status,true),t
+ else
+ let _,_,_,subst,_ = status#obj in
+ match t with
+ | NCic.Meta (i,lc) when List.mem_assoc i subst ->
+ let _,_,t,_ = NCicUtils.lookup_subst i subst in
+ aux ctx (status,already_found) t
+ | NCic.Meta _ -> (status,already_found),t
+ | _ ->
+ NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
+ (status,already_found) t
in
- aux ctx status t
+ aux ctx (status,false) t
in
+ let _,_,_,subst,_ = low_status#obj in
let rec select status ctx pat cic =
match pat, cic with
+ | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
+ let cic =
+ let _,_,t,_ = NCicUtils.lookup_subst i subst in
+ NCicSubstitution.subst_meta lc t
+ in
+ select status ctx pat cic
| 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
| NCic.Implicit `Hole, t ->
(match wanted with
| Some wanted ->
- let status, wanted = disambiguate status wanted None ctx in
- match_term status ctx wanted t
- | None -> match_term status ctx (None,ctx,t) t)
+ let status', wanted = disambiguate status ctx wanted None in
+ pp(lazy("wanted: "^ppterm status' wanted));
+ let (status',found), t' = match_term status' ctx wanted t in
+ if found then status',t' else status,t
+ | None ->
+ let (status,_),t = match_term status ctx (ctx,t) t in
+ status,t)
| NCic.Implicit _, t -> status, t
| _,t ->
fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
- ~context:[] ~subst:[] pat))
+ ~context:[] ~subst:[] pat ^ " against " ^
+ NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
in
+ pp(lazy ("select in: "^ppterm low_status (context,term)));
let status, term = select low_status context path term in
- let term = (name, context, term) in
- mk_meta status ~name:out_scope_tag context (`Def term)
+ let term = (context, term) in
+ pp(lazy ("postprocess: "^ppterm low_status term));
+ postprocess status term
;;
let analyse_indty status ty =
+ let status, reduct = whd status (ctx_of ty) ty in
let ref, args =
- match whd status (ctx_of ty) ty with
- | _,_,NCic.Const ref -> ref, []
- | _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
- | _,_,_ -> fail (lazy ("not an inductive type")) in
+ match reduct with
+ | _,NCic.Const ref -> ref, []
+ | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as 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
+ status, (ref, consno, left, right)
+;;
+
+let apply_subst status ctx t =
+ let status, (_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ status, (ctx, NCicUntrusted.apply_subst subst ctx t)
+;;
+
+let metas_of_term status (context,t) =
+ let _,_,_,subst,_ = status#obj in
+ NCicUntrusted.metas_of_term subst context t
+;;
+
+(* ============= move this elsewhere ====================*)
+
+class ['stack] status =
+ fun (o: NCic.obj) (s: 'stack) ->
+ object
+ inherit (pstatus o)
+ val stack = s
+ method stack = stack
+ method set_stack s = {< stack = s >}
+ end
+
+class type lowtac_status = [unit] status
+
+type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
+
+class type tac_status = [Continuationals.Stack.t] status
+
+type 'status tactic = #tac_status as 'status -> 'status
+
+module NCicInverseRelIndexable : Discrimination_tree.Indexable
+with type input = cic_term and type constant_name = NUri.uri = struct
+
+open Discrimination_tree
+
+type input = cic_term
+type constant_name = NUri.uri
+
+let ppelem = function
+ | Constant (uri,arity) ->
+ "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
+ | Bound (i,arity) ->
+ "("^string_of_int i ^ "," ^ string_of_int arity^")"
+ | Variable -> "?"
+ | Proposition -> "Prop"
+ | Datatype -> "Type"
+ | Dead -> "Dead"
+;;
+
+let string_of_path l = String.concat "." (List.map ppelem l) ;;
+
+let path_string_of (ctx,t) =
+ let len_ctx = List.length ctx in
+ let rec aux arity = function
+ | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
+ | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
+ | NCic.Appl [] -> assert false
+ | NCic.Appl (hd::tl) ->
+ aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
+ | NCic.Lambda _ | NCic.Prod _ -> [Variable]
+ (* I think we should CicSubstitution.subst Implicit t *)
+ | NCic.LetIn _ -> [Variable] (* z-reduce? *)
+ | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
+ | NCic.Rel i -> [Bound (len_ctx - i, arity)]
+ | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
+ | NCic.Sort _ -> assert (arity=0); [Datatype]
+ | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
+ | NCic.Match _ -> [Dead]
+ in
+ let path = aux 0 t in
+(* prerr_endline (string_of_path path); *)
+ path
;;
-let mk_cic_term c t = None,c,t ;;
+let compare e1 e2 =
+ match e1,e2 with
+ | Constant (u1,a1),Constant (u2,a2) ->
+ let x = NUri.compare u1 u2 in
+ if x = 0 then Pervasives.compare a1 a2 else x
+ | e1,e2 -> Pervasives.compare e1 e2
+;;
+
+
+end
+
+module Ncic_termOT : Set.OrderedType with type t = cic_term =
+ struct
+ type t = cic_term
+ let compare = Pervasives.compare
+ end
+
+module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
+
+module InvRelDiscriminationTree =
+ Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)
+
projects / helm.git / blobdiff