(* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *)
-exception Error of string lazy_t
-let fail msg = raise (Error msg)
+exception Error of string lazy_t * exn option
+let fail ?exn msg = raise (Error (msg,exn))
-type lowtac_status = {
- pstatus : NCic.obj;
- lstatus : LexiconEngine.status
-}
-
-type lowtactic = lowtac_status -> int -> lowtac_status
-
-type tac_status = {
- gstatus : Continuationals.Stack.t;
- istatus : lowtac_status;
-}
+let wrap f x =
+ try f x
+ with
+ | MultiPassDisambiguator.DisambiguationError _
+ | NCicRefiner.RefineFailure _
+ | NCicUnification.UnificationFailure _
+ | NCicTypeChecker.TypeCheckerFailure _
+ | NCicMetaSubst.MetaSubstFailure _ as exn -> fail ~exn (lazy "")
+;;
-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_lowtac_status status =
- prerr_endline "--------------------------------------------";
- prerr_endline (NCicPp.ppobj status.pstatus)
+let pp_status status =
+ prerr_endline (NCicPp.ppobj status#obj)
;;
type cic_term = NCic.conjecture (* name, context, term *)
let ctx_of (_,c,_) = 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)
+let relocate status destination (name,source,t as orig) =
+ if source == destination then status, orig else
+ let u, d, metasenv, subst, o = status#obj in
+ let rec lcp ctx j i = function
+ | (n1, NCic.Decl t1 as e)::cl1, (n2, NCic.Decl t2)::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
+ NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
+ else
+ HExtlib.mk_list (NCic.Appl
+ [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
+ | (n1, NCic.Def (b1,t1) as e)::cl1, (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
+ NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
+ else
+ HExtlib.mk_list (NCic.Appl
+ [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
+ | (n1, NCic.Def (b1,t1) as e)::cl1, (n2, NCic.Decl t2)::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
+ NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
+ else
+ HExtlib.mk_list (NCic.Appl
+ [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
+ | (n1, NCic.Decl _)::cl1, (n2, NCic.Def _)::cl2 -> assert false
+ | _::_, [] ->
+ HExtlib.mk_list (NCic.Appl
+ [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
+ | _ -> []
+ in
+ let lc =
+ lcp [] (List.length destination) (List.length source)
+ (List.rev destination, List.rev source)
+ in
+ let lc = (0,NCic.Ctx (List.rev lc)) in
+ 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
- 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 status = status#set_obj (u, d, metasenv, subst, o) in
+ status, (name, destination, t)
;;
+let relocate a b c = wrap (relocate a b) c;;
+let term_of_cic_term s t c =
+ let s, (_,_,t) = relocate s c t in
+ s, t
+;;
-type ast_term = string * int * CicNotationPt.term
+let ppterm status t =
+ let uri,height,metasenv,subst,obj = status#obj in
+ let _,context,t = t in
+ NCicPp.ppterm ~metasenv ~subst ~context 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 t ty context =
+ 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, (None, context, t)
;;
+let disambiguate a b c d = wrap (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, (None, ctx, ty)
;;
+let typeof a b c = wrap (typeof a b) c;;
let whd status ?delta ctx t =
- let _,_,metasenv,subst,_ = status.pstatus in
- let name,_,t = relocate ctx t in
+ let status, (name,_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
let t = NCicReduction.whd ~subst ?delta ctx t in
- name, ctx, t
+ status, (name, ctx, t)
+;;
+
+let normalize status ?delta ctx t =
+ let status, (name,_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ let t = NCicTacReduction.normalize ~subst ?delta ctx t in
+ status, (name, 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 a b c) d;;
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, (nt,_,term) = relocate status ctx term in
+ let status, ne, expty =
+ match expty with None -> status, None, None
+ | Some e ->
+ let status, (n,_, e) = relocate status ctx e in status, 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 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), (nt,ctx,t), (ne,ctx,ty)
;;
+let refine a b c d = wrap (refine a b c) d;;
-let get_goalty (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
+let get_goalty status g =
+ let _,_,metasenv,_,_ = status#obj in
List.assoc g metasenv
;;
refine status (ctx_of gty) t (Some gty)
in
- let name,height,metasenv,subst,obj = status.pstatus in
+ 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) }
+ 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
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)
in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
+ let status = status#set_obj (n,h,metasenv,subst,o) in
status, (None,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
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
+ let status = status#set_obj (n,h,metasenv,subst,o) in
status, (None,ctx,instance)
;;
-let select_term low_status (name,context,term) (wanted,path) =
- let found status ctx t wanted =
+let mk_in_scope status t =
+ mk_meta status ~name:NCicMetaSubst.in_scope_tag (ctx_of t) (`Def t)
+;;
+
+let mk_out_scope n status t =
+ mk_meta status ~name:(NCicMetaSubst.out_scope_tag n) (ctx_of t) (`Def t)
+;;
+
+(* 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 (name,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
with
| 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:NCicMetaSubst.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 (None, 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 wanted None ctx in
+ 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 (None,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
let status, term = select low_status context path term in
let term = (name, context, term) in
- mk_meta status ~name:(NCicMetaSubst.out_scope_tag 1) context (`Def 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
+ match reduct with
| _,_,NCic.Const ref -> ref, []
| _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
| _,_,_ -> fail (lazy ("not an inductive type")) 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 mk_cic_term c t = None,c,t ;;
+
+let apply_subst status ctx t =
+ let status, (name,_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ status, (name, ctx, NCicUntrusted.apply_subst subst ctx 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
+