module C = NCic
module Ref = NReference
+let indent = ref "";;
+let inside c = indent := !indent ^ String.make 1 c;;
+let outside () = indent := String.sub !indent 0 (String.length !indent -1);;
+
+(*
+let pp s =
+ prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
+;;
+*)
+
+let pp _ = ();;
+
let wrap_exc msg = function
| NCicUnification.Uncertain _ -> Uncertain msg
| NCicUnification.UnificationFailure _ -> RefineFailure msg
let exp_implicit metasenv context expty =
let foo x = match expty with Some t -> `WithType t | None -> x in
function
- | `Closed -> NCicMetaSubst.mk_meta metasenv [] (foo `Type)
+ | `Closed -> NCicMetaSubst.mk_meta metasenv [] (foo `Term)
| `Type -> NCicMetaSubst.mk_meta metasenv context (foo `Type)
| `Term -> NCicMetaSubst.mk_meta metasenv context (foo `Term)
| _ -> assert false
;;
-let force_to_sort metasenv subst context t =
- match NCicReduction.whd ~subst context t with
- | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))) as t ->
- metasenv, subst, t
- | C.Meta (i,(_,lc)) as t ->
- let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
- prerr_endline "RESTRICT";
- let metasenv, subst, _ =
- NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 len)
- in
- metasenv, subst, t
- | C.Sort _ -> metasenv, subst, t
- | _ -> assert false
-;;
-
-let sort_of_prod
- localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
-=
- let metasenv, subst, t1 = force_to_sort metasenv subst context t1 in
- let metasenv, subst, t2 =
- force_to_sort metasenv subst ((name,C.Decl s)::context) t2 in
- prerr_endline ("S1:"^NCicPp.ppterm ~metasenv ~subst ~context t1);
- prerr_endline ("S2:"^NCicPp.ppterm ~metasenv ~subst ~context:((name,C.Decl s)::context) t2);
- match t1, t2 with
- | C.Sort _, C.Sort C.Prop -> metasenv, subst, t2
- | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
- metasenv, subst, C.Sort (C.Type (u1@u2))
- | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, t2
- | C.Meta _, C.Sort _
- | C.Meta _, C.Meta _
- | C.Sort _, C.Meta _ -> metasenv, subst, t2
- | x, (C.Sort _ | C.Meta _) | _, x ->
- let y, context, orig =
- if x == t1 then s, context, orig_s
- else t, ((name,C.Decl s)::context), orig_t
- in
- raise (RefineFailure (lazy (localise orig,Printf.sprintf
- "%s is expected to be a type, but its type is %s that is not a sort"
- (NCicPp.ppterm ~subst ~metasenv ~context y)
- (NCicPp.ppterm ~subst ~metasenv ~context x))))
-;;
let check_allowed_sort_elimination localise r orig =
let mkapp he arg =
| t -> C.Appl [t;arg] in
(* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
let rec aux metasenv subst context ind arity1 arity2 =
+ (*D*)inside 'S'; try let rc =
let arity1 = NCicReduction.whd ~subst context arity1 in
+ pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
+ NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
+ NCicPp.ppmetasenv ~subst metasenv));
match arity1 with
| C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
let metasenv, meta, _ =
- NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Typeless
+ NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type
in
let metasenv, subst =
try NCicUnification.unify metasenv subst context
- (C.Prod (name, so1, meta)) arity2
+ arity2 (C.Prod (name, so1, meta))
with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
"expected %s, found %s" (* XXX localizzare meglio *)
- (NCicPp.ppterm ~subst ~metasenv ~context arity1)
+ (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
(NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
in
aux metasenv subst ((name, C.Decl so1)::context)
(mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta
| C.Sort _ (* , t ==?== C.Prod _ *) ->
- let metasenv, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Typeless in
- prerr_endline (
- (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta))) ^ " ==== " ^
- (NCicPp.ppterm ~subst ~metasenv ~context arity2) ^ "\nMENV:\n"
- ^ NCicPp.ppmetasenv ~subst metasenv);
+ let metasenv, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in
let metasenv, subst =
try NCicUnification.unify metasenv subst context
- (C.Prod ("_", ind, meta)) arity2
+ arity2 (C.Prod ("_", ind, meta))
with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
"expected %s, found %s" (* XXX localizzare meglio *)
- (NCicPp.ppterm ~subst ~metasenv ~context arity1)
+ (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
(NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
in
(try NCicTypeChecker.check_allowed_sort_elimination
with exc -> raise (wrap_exc (lazy (localise orig,
"Sort elimination not allowed ")) exc))
| _ -> assert false
+ (*D*)in outside(); rc with exc -> outside (); raise exc
in
aux
;;
let rec typeof
- ?(localise=fun _ -> Stdpp.dummy_loc) metasenv subst context term expty
+ ?(localise=fun _ -> Stdpp.dummy_loc)
+ ~look_for_coercion metasenv subst context term expty
=
- let force_ty metasenv subst context orig t infty = function
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context term);
+ let force_ty metasenv subst context orig t infty expty =
+ (*D*)inside 'F'; try let rc =
+ match expty with
| Some expty ->
(match t with
| C.Implicit _
| C.Lambda _ -> metasenv, subst, t, expty
| _ ->
- prerr_endline ("F:" ^
+ pp (lazy (
(NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
- (NCicPp.ppterm ~metasenv ~subst ~context expty) ^ "\nMENV:\n" ^
- NCicPp.ppmetasenv ~subst metasenv);
- let metasenv, subst =
- try NCicUnification.unify metasenv subst context infty expty
- with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
- "The term %s has type %s but is here used with type %s"
- (NCicPp.ppterm ~metasenv ~subst ~context t)
- (NCicPp.ppterm ~metasenv ~subst ~context infty)
- (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
- in
- metasenv, subst, t, expty)
+ (NCicPp.ppterm ~metasenv ~subst ~context expty)));
+ try
+ let metasenv, subst =
+ NCicUnification.unify metasenv subst context infty expty
+ in
+ metasenv, subst, t, expty
+ with exc ->
+ try_coercions ~look_for_coercion ~localise
+ metasenv subst context t orig infty expty true exc)
| None -> metasenv, subst, t, infty
+ (*D*)in outside(); rc with exc -> outside (); raise exc
in
let rec typeof_aux metasenv subst context expty =
fun t as orig ->
- prerr_endline ("R:"^NCicPp.ppterm ~metasenv ~subst ~context t);
+ (*D*)inside 'R'; try let rc =
+ pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t));
+ pp (lazy (NCicPp.ppmetasenv ~subst metasenv));
let metasenv, subst, t, infty =
match t with
| C.Rel n ->
metasenv, subst, t, NCicSubstitution.subst_meta l ty
| C.Const _ ->
metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
- | C.Prod (name,(s as orig_s),(t as orig_t)) as orig ->
+ | C.Prod (name,(s as orig_s),(t as orig_t)) ->
let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
- let context = (name,(C.Decl s))::context in
- let metasenv, subst, t, s2 = typeof_aux metasenv subst context None t in
- let metasenv, subst, ty =
- sort_of_prod localise metasenv subst
+ let context1 = (name,(C.Decl s))::context in
+ let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
+ let metasenv, subst, s, t, ty =
+ sort_of_prod ~look_for_coercion localise metasenv subst
context orig_s orig_t (name,s) t (s1,s2)
in
- metasenv, subst, orig, ty
+ metasenv, subst, NCic.Prod(name,s,t), ty
| C.Lambda (n,(s as orig_s),t) ->
let exp_s, exp_ty_t =
match expty with
| Some expty ->
match NCicReduction.whd ~subst context expty with
| C.Prod (_,s,t) -> Some s, Some t
- | _ -> None, None
+ | _ -> None, None (** XXX FUNCLASS |-> QUALCOSA *)
in
let metasenv, subst, s, ty_s =
typeof_aux metasenv subst context None s in
- let metasenv, subst, _ = force_to_sort metasenv subst context ty_s in
+ let metasenv, subst, s, _ =
+ force_to_sort ~look_for_coercion
+ metasenv subst context s orig_s localise ty_s in
let (metasenv,subst), exp_ty_t =
match exp_s with
| Some exp_s ->
exp_s))) exc))
| None -> (metasenv, subst), None
in
- (* XXX coerce_to_sort s *)
let context = (n,C.Decl s) :: context in
let metasenv, subst, t, ty_t =
typeof_aux metasenv subst context exp_ty_t t
in
metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
- | C.LetIn (n,ty,t,bo) ->
+ | C.LetIn (n,(ty as orig_ty),t,bo) ->
let metasenv, subst, ty, ty_ty =
typeof_aux metasenv subst context None ty in
- let metasenv, subst, _ = force_to_sort metasenv subst context ty_ty in
+ let metasenv, subst, ty, _ =
+ force_to_sort ~look_for_coercion
+ metasenv subst context ty orig_ty localise ty_ty in
let metasenv, subst, t, _ =
typeof_aux metasenv subst context (Some ty) t in
- let context = (n, C.Def (t,ty)) :: context in
+ let context1 = (n, C.Def (t,ty)) :: context in
let metasenv, subst, bo, bo_ty =
- typeof_aux metasenv subst context expty bo
+ typeof_aux metasenv subst context1 None bo
in
- metasenv, subst, C.LetIn (n, ty, t, bo),
- NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty
+ let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
+ metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
| C.Appl ((he as orig_he)::(_::_ as args)) ->
let metasenv, subst, he, ty_he =
typeof_aux metasenv subst context None he in
- eat_prods localise metasenv subst context orig_he he ty_he args
+ eat_prods ~localise ~look_for_coercion
+ metasenv subst context orig_he he ty_he args
| C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
| C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
outtype,(term as orig_term),pl) as orig ->
let _, _, arity, cl = List.nth itl tyno in
let constructorsno = List.length cl in
let _, metasenv, args =
- NCicMetaSubst.saturate metasenv context arity 0 in
+ NCicMetaSubst.saturate metasenv subst context arity 0 in
let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
let metasenv, subst, term, _ =
typeof_aux metasenv subst context (Some ind) term in
let ty_branch =
NCicTypeChecker.type_of_branch
~subst context leftno outtype cons ty_cons in
+ pp (lazy ("TYPEOFBRANCH: " ^
+ NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::: " ^
+ NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
let metasenv, subst, p, _ =
typeof_aux metasenv subst context (Some ty_branch) p in
j+1, metasenv, subst, p :: branches)
metasenv, subst,
C.Match (r, outtype, term, List.rev pl_rev),
NCicReduction.head_beta_reduce (C.Appl (outtype::arguments@[term]))
- | C.Match _ -> assert false
+ | C.Match _ as orig ->
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context orig);
+ assert false
in
+ pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " :: "^
+ NCicPp.ppterm ~metasenv ~subst ~context infty ));
force_ty metasenv subst context orig t infty expty
+ (*D*)in outside(); rc with exc -> outside (); raise exc
in
typeof_aux metasenv subst context expty term
-and eat_prods localise metasenv subst context orig_he he ty_he args =
- let rec aux metasenv subst args_so_far ty_he = function
- | [] -> metasenv, subst, NCic.Appl (he :: List.rev args_so_far), ty_he
+and try_coercions
+ ~localise ~look_for_coercion
+ metasenv subst context t orig_t infty expty perform_unification exc
+=
+ (* we try with a coercion *)
+ let rec first exc = function
+ | [] ->
+ raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
+ "The term %s has type %s but is here used with type %s"
+ (NCicPp.ppterm ~metasenv ~subst ~context t)
+ (NCicPp.ppterm ~metasenv ~subst ~context infty)
+ (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
+ | (metasenv, newterm, newtype, meta)::tl ->
+ try
+ let metasenv, subst =
+ NCicUnification.unify metasenv subst context meta t
+ in
+ let metasenv, subst =
+ if perform_unification then
+ NCicUnification.unify metasenv subst context newtype expty
+ else metasenv, subst
+ in
+ metasenv, subst, newterm, newtype
+ with
+ | NCicUnification.UnificationFailure _ -> first exc tl
+ | NCicUnification.Uncertain _ as exc -> first exc tl
+ in
+ first exc
+ (look_for_coercion metasenv subst context infty expty)
+
+and force_to_sort
+ ~look_for_coercion metasenv subst context t orig_t localise ty
+=
+ match NCicReduction.whd ~subst context ty with
+ | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
+ metasenv, subst, t, ty
+ | C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) ->
+ metasenv, subst, t, C.Meta(i,(0,C.Irl 0))
+ | C.Meta (i,(_,lc)) ->
+ let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
+ let metasenv, subst, newmeta =
+ if len > 0 then
+ NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
+ else metasenv, subst, i
+ in
+ metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
+ | C.Sort _ as ty -> metasenv, subst, t, ty
+ | ty ->
+ try_coercions ~localise ~look_for_coercion metasenv subst context
+ t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
+ (RefineFailure (lazy (localise orig_t,
+ "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
+ ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
+
+and sort_of_prod ~look_for_coercion
+ localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
+=
+ let metasenv, subst, s, t1 =
+ force_to_sort
+ ~look_for_coercion metasenv subst context s orig_s localise t1 in
+ let metasenv, subst, t, t2 =
+ force_to_sort ~look_for_coercion metasenv subst ((name,C.Decl s)::context)
+ t orig_t localise t2 in
+ match t1, t2 with
+ | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
+ | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
+ metasenv, subst, s, t, C.Sort (C.Type (u1@u2))
+ | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
+ | C.Meta _, C.Sort _
+ | C.Meta _, C.Meta (_,(_,_))
+ | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
+ | x, (C.Sort _ | C.Meta _) | _, x ->
+ let y, context, orig =
+ if x == t1 then s, context, orig_s
+ else t, ((name,C.Decl s)::context), orig_t
+ in
+ raise (RefineFailure (lazy (localise orig,Printf.sprintf
+ "%s is expected to be a type, but its type is %s that is not a sort"
+ (NCicPp.ppterm ~subst ~metasenv ~context y)
+ (NCicPp.ppterm ~subst ~metasenv ~context x))))
+
+and eat_prods
+ ~localise ~look_for_coercion metasenv subst context orig_he he ty_he args
+=
+ (*D*)inside 'E'; try let rc =
+ let rec aux metasenv subst args_so_far he ty_he = function
+ | []->metasenv, subst, NCicUntrusted.mk_appl he (List.rev args_so_far), ty_he
| arg::tl ->
match NCicReduction.whd ~subst context ty_he with
| C.Prod (_,s,t) ->
let metasenv, subst, arg, _ =
- typeof ~localise metasenv subst context arg (Some s) in
+ typeof ~look_for_coercion ~localise
+ metasenv subst context arg (Some s) in
let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
- aux metasenv subst (arg :: args_so_far) t tl
- | t ->
+ aux metasenv subst (arg :: args_so_far) he t tl
+ | C.Meta _
+ | C.Appl (C.Meta _ :: _) as t ->
let metasenv, subst, arg, ty_arg =
- typeof ~localise metasenv subst context arg None in
+ typeof ~look_for_coercion ~localise
+ metasenv subst context arg None in
let metasenv, meta, _ =
NCicMetaSubst.mk_meta metasenv
(("_",C.Decl ty_arg) :: context) `Type
in
let flex_prod = C.Prod ("_", ty_arg, meta) in
- prerr_endline ("F:" ^
- (NCicPp.ppterm ~metasenv ~subst ~context t) ^ " === " ^
- (NCicPp.ppterm ~metasenv ~subst ~context flex_prod) ^ "\nMENV:\n" ^
- NCicPp.ppmetasenv ~subst metasenv ^ "\nCTX:\n" ^
- NCicPp.ppcontext ~metasenv ~subst context);
+ pp (lazy ( "UNIFICATION in CTX:\n"^
+ NCicPp.ppcontext ~metasenv ~subst context
+ ^ "\nOF: " ^
+ NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
+ NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
let metasenv, subst =
try NCicUnification.unify metasenv subst context t flex_prod
with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
- ("The term %s is here applied to %d arguments but expects " ^^
- "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
- (List.length args) (List.length args_so_far))) exc)
+ ("The term %s has an inferred type %s, but is applied to the" ^^
+ " argument %s of type %s")
+ (NCicPp.ppterm ~metasenv ~subst ~context he)
+ (NCicPp.ppterm ~metasenv ~subst ~context t)
+ (NCicPp.ppterm ~metasenv ~subst ~context arg)
+ (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) exc)
(* XXX coerce to funclass *)
in
let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
- aux metasenv subst (arg :: args_so_far) meta tl
+ aux metasenv subst (arg :: args_so_far) he meta tl
+ | C.Match (_,_,C.Meta _,_)
+ | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
+ | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
+ raise (Uncertain (lazy (localise orig_he, Printf.sprintf
+ ("The term %s is here applied to %d arguments but expects " ^^
+ "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
+ (List.length args) (List.length args_so_far))))
+ | ty ->
+ let metasenv, subst, newhead, newheadty =
+ try_coercions ~localise ~look_for_coercion metasenv subst context
+ (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
+ (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
+ false
+ (RefineFailure (lazy (localise orig_he, Printf.sprintf
+ ("The term %s is here applied to %d arguments but expects " ^^
+ "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
+ (List.length args) (List.length args_so_far))))
+ in
+ aux metasenv subst [] newhead newheadty (arg :: tl)
in
- aux metasenv subst [] ty_he args
+ aux metasenv subst [] he ty_he args
+ (*D*)in outside(); rc with exc -> outside (); raise exc
;;
(* vim:set foldmethod=marker: *)
projects / helm.git / blobdiff