exception MetaSubstFailure of string Lazy.t
exception Uncertain of string Lazy.t
-(*
-(*** Functions to apply a substitution ***)
-
-let apply_subst_gen ~appl_fun subst term =
- let rec um_aux =
- let module C = Cic in
- let module S = CicSubstitution in
- function
- C.Rel _ as t -> t
- | C.Var (uri,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.Var (uri, exp_named_subst')
- | C.Meta (i, l) ->
- (try
- let (_, t,_) = lookup_subst i subst in
- um_aux (S.subst_meta l t)
- with CicUtil.Subst_not_found _ ->
- (* unconstrained variable, i.e. free in subst*)
- let l' =
- List.map (function None -> None | Some t -> Some (um_aux t)) l
- in
- C.Meta (i,l'))
- | C.Sort _
- | C.Implicit _ as t -> t
- | C.Cast (te,ty) -> C.Cast (um_aux te, um_aux ty)
- | C.Prod (n,s,t) -> C.Prod (n, um_aux s, um_aux t)
- | C.Lambda (n,s,t) -> C.Lambda (n, um_aux s, um_aux t)
- | C.LetIn (n,s,ty,t) -> C.LetIn (n, um_aux s, um_aux ty, um_aux t)
- | C.Appl (hd :: tl) -> appl_fun um_aux hd tl
- | C.Appl _ -> assert false
- | C.Const (uri,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.Const (uri, exp_named_subst')
- | C.MutInd (uri,typeno,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.MutInd (uri,typeno,exp_named_subst')
- | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.MutConstruct (uri,typeno,consno,exp_named_subst')
- | C.MutCase (sp,i,outty,t,pl) ->
- let pl' = List.map um_aux pl in
- C.MutCase (sp, i, um_aux outty, um_aux t, pl')
- | C.Fix (i, fl) ->
- let fl' =
- List.map (fun (name, i, ty, bo) -> (name, i, um_aux ty, um_aux bo)) fl
- in
- C.Fix (i, fl')
- | C.CoFix (i, fl) ->
- let fl' =
- List.map (fun (name, ty, bo) -> (name, um_aux ty, um_aux bo)) fl
- in
- C.CoFix (i, fl')
- in
- um_aux term
-;;
-
-let apply_subst =
- let appl_fun um_aux he tl =
- let tl' = List.map um_aux tl in
- let t' =
- match um_aux he with
- Cic.Appl l -> Cic.Appl (l@tl')
- | he' -> Cic.Appl (he'::tl')
- in
- begin
- match he with
- Cic.Meta (m,_) -> CicReduction.head_beta_reduce t'
- | _ -> t'
- end
- in
- fun subst t ->
-(* incr apply_subst_counter; *)
-match subst with
- [] -> t
- | _ -> apply_subst_gen ~appl_fun subst t
-;;
-
-let profiler = HExtlib.profile "U/CicMetaSubst.apply_subst"
-let apply_subst s t =
- profiler.HExtlib.profile (apply_subst s) t
-
-
-let apply_subst_context subst context =
- match subst with
- [] -> context
- | _ ->
-(*
- incr apply_subst_context_counter;
- context_length := !context_length + List.length context;
-*)
- List.fold_right
- (fun item context ->
- match item with
- | Some (n, Cic.Decl t) ->
- let t' = apply_subst subst t in
- Some (n, Cic.Decl t') :: context
- | Some (n, Cic.Def (t, ty)) ->
- let ty' = apply_subst subst ty in
- let t' = apply_subst subst t in
- Some (n, Cic.Def (t', ty')) :: context
- | None -> None :: context)
- context []
-
-let apply_subst_metasenv subst metasenv =
-(*
- incr apply_subst_metasenv_counter;
- metasenv_length := !metasenv_length + List.length metasenv;
-*)
-match subst with
- [] -> metasenv
- | _ ->
- List.map
- (fun (n, context, ty) ->
- (n, apply_subst_context subst context, apply_subst subst ty))
- (List.filter
- (fun (i, _, _) -> not (List.mem_assoc i subst))
- metasenv)
-
-let tempi_type_of_aux_subst = ref 0.0;;
-let tempi_subst = ref 0.0;;
-let tempi_type_of_aux = ref 0.0;;
-*)
-
let newmeta =
let maxmeta = ref 0 in
fun () -> incr maxmeta; !maxmeta
aux k ms (NCicSubstitution.lift n bo))
| _,NCic.Decl _ -> ms, NCic.Rel ((position (n-k) l) + k)
with Failure _ -> assert false) (*Unbound variable found in delift*)
- | NCic.Meta (_,(_,(NCic.Irl 0| NCic.Ctx []))) as orig -> ms, orig
+ | NCic.Meta (i,_) when i=n ->
+ raise (MetaSubstFailure (lazy (Printf.sprintf (
+ "Cannot unify the metavariable ?%d with a term that has "^^
+ "as subterm %s in which the same metavariable "^^
+ "occurs (occur check)") i
+ (NCicPp.ppterm ~context ~metasenv ~subst t))))
| NCic.Meta (i,l1) as orig ->
(try
let _,_,t,_ = NCicUtils.lookup_subst i subst in
aux k ms (NCicSubstitution.subst_meta l1 t)
with NCicUtils.Subst_not_found _ ->
- (* see the top level invariant *)
- if (i = n) then
- raise (MetaSubstFailure (lazy (Printf.sprintf (
- "Cannot unify the metavariable ?%d with a term that has "^^
- "as subterm %s in which the same metavariable "^^
- "occurs (occur check)") i
- (NCicPp.ppterm ~context ~metasenv ~subst t))))
+ if snd l1 = NCic.Irl 0 || snd l1 = NCic.Ctx [] then ms, orig
else
let shift1,lc1 = l1 in
let shift,lc = l in
in
(metasenv, subst),
NCic.Meta (newmeta, (0,NCic.Irl (max 0 (k-shift1))))
- | NCic.Irl len, NCic.Irl len1
- when shift1 < shift || len1 + shift1 > len + shift ->
- (* C. Hoare. Premature optimization is the root of all evil*)
- let stop = shift + len in
- let stop1 = shift1 + len1 in
- let low_gap = max 0 (shift - shift1) in
- let high_gap = max 0 (stop1 - stop) in
- let restrictions =
- HExtlib.list_seq (*max 1 (k+1-shift1)*) (k+1) (low_gap + 1) @
- HExtlib.list_seq (len1 - high_gap + 1) (len1 + 1)
+ | NCic.Irl len, NCic.Irl len1 ->
+ let low_restrictions, new_shift =
+ if k <= shift1 && shift1 < shift then
+ HExtlib.list_seq 1 (shift - shift1 + 1), k
+ else if shift1 < k (* <= shift *) then
+ let save_below = k - shift1 in
+ HExtlib.list_seq (save_below + 1) (shift - shift1 + 1),
+ shift1
+ else [], shift1 - shift + k
+ in
+ let high_restrictions =
+ let last = shift + len in
+ let last1 = shift1 + len1 in
+ if last1 > last then
+ let high_gap = last1 - last in
+ HExtlib.list_seq (len1 - high_gap + 1) (len1 + 1)
+ else []
in
+ let restrictions = low_restrictions @ high_restrictions in
+ if restrictions = [] then
+ if shift = k then ms, orig
+ else ms, NCic.Meta (i, (new_shift, lc1))
+ else
let metasenv, subst, newmeta =
- restrict metasenv subst i restrictions
+ restrict metasenv subst i restrictions
in
-(*
+(* {{{
prerr_endline ("RESTRICTIONS FOR: " ^
NCicPp.ppterm ~metasenv ~subst ~context:[]
(NCic.Meta (i,l1))^" that was part of a term unified with "
string_of_int restrictions) ^ "\nMENV:\n" ^
NCicPp.ppmetasenv ~subst metasenv ^ "\nSUBST:\n" ^
NCicPp.ppsubst subst ~metasenv);
-*)
- let newlc_len =
- len1 - low_gap - high_gap + max 0 (k - shift1) in
- assert (if shift1 > k then
- shift1 + low_gap - shift = 0 else true);
- let meta =
- NCic.Meta(newmeta,(shift1 + low_gap - shift,
- NCic.Irl newlc_len))
- in
- let _, cctx, _ = NCicUtils.lookup_meta newmeta metasenv in
- assert (List.length cctx = newlc_len);
+}}} *)
+ let newlc_len = len1 - List.length restrictions in
+ let meta =
+ NCic.Meta(newmeta,(new_shift, NCic.Irl newlc_len))
+ in
+ assert (
+ let _, cctx, _ = NCicUtils.lookup_meta newmeta metasenv in
+ List.length cctx = newlc_len);
(metasenv, subst), meta
-
- | NCic.Irl _, NCic.Irl _ when shift = k -> ms, orig
- | NCic.Irl _, NCic.Irl _ ->
- ms, NCic.Meta (i, (max 0 (shift1 - shift + k), lc1))
+
| _ ->
let lc1 = NCicUtils.expand_local_context lc1 in
let lc1 = List.map (NCicSubstitution.lift shift1) lc1 in
;;
let mk_meta ?name metasenv context ty =
- match ty with
- | `Typeless ->
- let n = newmeta () in
- let ty = NCic.Implicit (`Typeof n) in
- let menv_entry = (n, (name, context, ty)) in
- menv_entry :: metasenv,NCic.Meta (n, (0,NCic.Irl (List.length context))), ty
- | `Type
- | `Term ->
- let context_for_ty = if ty = `Type then [] else context in
- let n = newmeta () in
- let ty_menv_entry = (n, (name,context_for_ty, NCic.Implicit (`Typeof n))) in
- let m = newmeta () in
- let ty = NCic.Meta (n, (0,NCic.Irl (List.length context_for_ty))) in
- let menv_entry = (m, (name, context, ty)) in
- menv_entry :: ty_menv_entry :: metasenv,
- NCic.Meta (m, (0,NCic.Irl (List.length context))), ty
+ let tyof = function Some s -> Some ("typeof_"^s) | None -> None in
+ let rec mk_meta name n metasenv context = function
| `WithType ty ->
- let n = newmeta () in
let len = List.length context in
let menv_entry = (n, (name, context, ty)) in
menv_entry :: metasenv, NCic.Meta (n, (0,NCic.Irl len)), ty
+ | `Sort ->
+ let ty = NCic.Implicit (`Typeof n) in
+ mk_meta (tyof name) n metasenv [] (`WithType ty)
+ | `Type ->
+ let metasenv, ty, _ =
+ mk_meta (tyof name) (newmeta ()) metasenv context `Sort in
+ mk_meta name n metasenv context (`WithType ty)
+ | `Term ->
+ let metasenv, ty, _ =
+ mk_meta (tyof name) (newmeta ()) metasenv context `Type in
+ mk_meta name n metasenv context (`WithType ty)
+ in
+ mk_meta name (newmeta ()) metasenv context ty
;;
-let saturate ?(delta=0) metasenv context ty goal_arity =
+let saturate ?(delta=0) metasenv subst context ty goal_arity =
assert (goal_arity >= 0);
let rec aux metasenv = function
- | NCic.Prod (name,s,t) ->
+ | NCic.Prod (name,s,t) as ty ->
let metasenv1, arg,_ =
mk_meta ~name:name metasenv context (`WithType s) in
let t, metasenv1, args, pno =
else
t, metasenv1, arg::args, pno+1
| ty ->
- match NCicReduction.whd context ty ~delta with
+ match NCicReduction.whd ~subst context ty ~delta with
| NCic.Prod _ as ty -> aux metasenv ty
| ty -> ty, metasenv, [], 0
in
projects / helm.git / blobdiff