2 ||M|| This file is part of HELM, an Hypertextual, Electronic
3 ||A|| Library of Mathematics, developed at the Computer Science
4 ||T|| Department, University of Bologna, Italy.
6 ||T|| HELM is free software; you can redistribute it and/or
7 ||A|| modify it under the terms of the GNU General Public License
8 \ / version 2 or (at your option) any later version.
9 \ / This software is distributed as is, NO WARRANTY.
10 V_______________________________________________________________ *)
14 exception RefineFailure of (Stdpp.location * string) Lazy.t;;
15 exception Uncertain of (Stdpp.location * string) Lazy.t;;
16 exception AssertFailure of string Lazy.t;;
19 module Ref = NReference
21 let debug = ref false;;
26 prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
31 let time1 = Unix.gettimeofday () in
32 indent := !indent ^ String.make 1 c;
33 times := time1 :: !times;
34 prerr_endline ("{{{" ^ !indent ^ " ")
40 let time2 = Unix.gettimeofday () in
42 match !times with time1::tl -> times := tl; time1 | [] -> assert false in
43 prerr_endline ("}}} " ^ string_of_float (time2 -. time1));
44 if not ok then prerr_endline "exception raised!";
46 indent := String.sub !indent 0 (String.length !indent -1)
48 Invalid_argument _ -> indent := "??"; ()
53 let wrap_exc msg = function
54 | NCicUnification.Uncertain _ -> Uncertain msg
55 | NCicUnification.UnificationFailure _ -> RefineFailure msg
56 | NCicTypeChecker.TypeCheckerFailure _ -> RefineFailure msg
60 let exp_implicit rdb ~localise metasenv subst context expty t =
61 let foo x = function Some t -> `WithType t | None -> x in
64 let metasenv,subst,expty =
66 None -> metasenv,subst,None
68 let (metasenv,subst),typ =
71 ~unify:(fun m s c t1 t2 ->
72 try Some (NCicUnification.unify rdb m s c t1 t2)
73 with NCicUnification.UnificationFailure _ | NCicUnification.Uncertain _ -> None)
74 metasenv subst context 0 (0,NCic.Irl 0) typ
76 NCicMetaSubst.MetaSubstFailure _
77 | NCicMetaSubst.Uncertain _ ->
78 raise (RefineFailure (lazy (localise t,"Trying to create a closed meta with a non closed type")))
81 metasenv,subst,Some typ
83 NCicMetaSubst.mk_meta metasenv [] (foo `Term expty),subst
84 | `Type -> NCicMetaSubst.mk_meta metasenv context (foo `Type expty),subst
85 | `Term -> NCicMetaSubst.mk_meta metasenv context (foo `Term expty),subst
87 NCicMetaSubst.mk_meta ~attrs:[`Name s] metasenv context (foo `Term expty),subst
89 raise (RefineFailure (lazy (localise t, "A vector of implicit terms " ^
90 "can only be used in argument position")))
94 let check_allowed_sort_elimination rdb localise r orig =
97 | C.Appl l -> C.Appl (l @ [arg])
98 | t -> C.Appl [t;arg] in
99 (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
100 let rec aux metasenv subst context ind arity1 arity2 =
101 (*D*)inside 'S'; try let rc =
102 let arity1 = NCicReduction.whd ~subst context arity1 in
103 pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
104 NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
105 NCicPp.ppmetasenv ~subst metasenv));
107 | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
108 let metasenv, _, meta, _ =
109 NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type
111 let metasenv, subst =
112 try NCicUnification.unify rdb metasenv subst context
113 arity2 (C.Prod (name, so1, meta))
114 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
115 "expected %s, found %s" (* XXX localizzare meglio *)
116 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
117 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
119 aux metasenv subst ((name, C.Decl so1)::context)
120 (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta
121 | C.Sort _ (* , t ==?== C.Prod _ *) ->
122 let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in
123 let metasenv, subst =
124 try NCicUnification.unify rdb metasenv subst context
125 arity2 (C.Prod ("_", ind, meta))
126 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
127 "expected %s, found %s" (* XXX localizzare meglio *)
128 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
129 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
131 (try NCicTypeChecker.check_allowed_sort_elimination
132 ~metasenv ~subst r context ind arity1 arity2;
134 with exc -> raise (wrap_exc (lazy (localise orig,
135 "Sort elimination not allowed ")) exc))
137 (*D*)in outside true; rc with exc -> outside false; raise exc
143 ?(localise=fun _ -> Stdpp.dummy_loc)
144 metasenv subst context term expty
146 let force_ty skip_lambda skip_appl metasenv subst context orig t infty expty =
147 (*D*)inside 'F'; try let rc =
151 | C.Implicit _ -> assert false
152 | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty
153 | C.Appl _ when skip_appl -> metasenv, subst, t, expty
155 pp (lazy ("forcing infty=expty: "^
156 (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
157 (NCicPp.ppterm ~metasenv ~subst:[] ~context expty)));
159 let metasenv, subst =
160 (*D*)inside 'U'; try let rc =
161 NCicUnification.unify rdb metasenv subst context infty expty
162 (*D*)in outside true; rc with exc -> outside false; raise exc
164 metasenv, subst, t, expty
166 | NCicUnification.Uncertain _
167 | NCicUnification.UnificationFailure _ as exc ->
168 try_coercions rdb ~localise
169 metasenv subst context t orig infty expty true exc)
170 | None -> metasenv, subst, t, infty
171 (*D*)in outside true; rc with exc -> outside false; raise exc
173 let rec typeof_aux metasenv subst context expty =
175 (*D*)inside 'R'; try let rc =
176 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::exp:: " ^
177 match expty with None -> "None" | Some e ->
178 NCicPp.ppterm ~metasenv ~subst ~context e));
179 let metasenv, subst, t, infty =
184 match List.nth context (n - 1) with
185 | (_,C.Decl ty) -> NCicSubstitution.lift n ty
186 | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty
188 raise (RefineFailure (lazy (localise t,"unbound variable"))))
190 metasenv, subst, t, infty
192 (try metasenv, subst, t, C.Sort (NCicEnvironment.typeof_sort s)
194 | NCicEnvironment.UntypableSort msg ->
195 raise (RefineFailure (lazy (localise t, Lazy.force msg)))
196 | NCicEnvironment.AssertFailure msg -> raise (AssertFailure msg))
197 | C.Implicit infos ->
198 let (metasenv,_,t,ty),subst =
199 exp_implicit rdb ~localise metasenv subst context expty t infos
201 metasenv, subst, t, ty
202 | C.Meta (n,l) as t ->
205 let _,_,_,ty = NCicUtils.lookup_subst n subst in ty
206 with NCicUtils.Subst_not_found _ -> try
207 let _,_,ty = NCicUtils.lookup_meta n metasenv in
208 match ty with C.Implicit _ ->
209 prerr_endline (string_of_int n);
210 prerr_endline (NCicPp.ppmetasenv ~subst metasenv);
211 prerr_endline (NCicPp.ppsubst ~metasenv subst);
212 assert false | _ -> ty
213 with NCicUtils.Meta_not_found _ ->
214 raise (AssertFailure (lazy (Printf.sprintf
215 "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
217 metasenv, subst, t, NCicSubstitution.subst_meta l ty
219 metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
220 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
221 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
222 let metasenv, subst, s, s1 =
224 metasenv subst context s orig_s localise s1 in
225 let context1 = (name,(C.Decl s))::context in
226 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
227 let metasenv, subst, t, s2 =
229 metasenv subst context1 t orig_t localise s2 in
230 let metasenv, subst, s, t, ty =
231 sort_of_prod localise metasenv subst
232 context orig_s orig_t (name,s) t (s1,s2)
234 metasenv, subst, NCic.Prod(name,s,t), ty
235 | C.Lambda (n,(s as orig_s),t) as orig ->
236 let exp_s, exp_ty_t, force_after =
238 | None -> None, None, false
240 match NCicReduction.whd ~subst context expty with
241 | C.Prod (_,s,t) -> Some s, Some t, false
242 | _ -> None, None, true
244 let metasenv, subst, s, ty_s =
245 typeof_aux metasenv subst context None s in
246 let metasenv, subst, s, _ =
248 metasenv subst context s orig_s localise ty_s in
249 let (metasenv,subst), exp_ty_t =
253 pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst
255 NCicUnification.unify rdb metasenv subst context s exp_s,exp_ty_t
256 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
257 "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv
258 ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context
260 | None -> (metasenv, subst), None
262 let context_for_t = (n,C.Decl s) :: context in
263 let metasenv, subst, t, ty_t =
264 typeof_aux metasenv subst context_for_t exp_ty_t t
267 force_ty false true metasenv subst context orig
268 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
270 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
271 | C.LetIn (n,(ty as orig_ty),t,bo) ->
272 let metasenv, subst, ty, ty_ty =
273 typeof_aux metasenv subst context None ty in
274 let metasenv, subst, ty, _ =
276 metasenv subst context ty orig_ty localise ty_ty in
277 let metasenv, subst, t, _ =
278 typeof_aux metasenv subst context (Some ty) t in
279 let context1 = (n, C.Def (t,ty)) :: context in
280 let metasenv, subst, expty1 =
282 | None -> metasenv, subst, None
285 NCicUnification.delift_type_wrt_terms
286 rdb metasenv subst context1 (NCicSubstitution.lift 1 x)
287 [NCicSubstitution.lift 1 t]
291 let metasenv, subst, bo, bo_ty =
292 typeof_aux metasenv subst context1 expty1 bo
294 let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
295 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
296 | C.Appl ((he as orig_he)::(_::_ as args)) ->
297 let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in
299 if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t
302 let metasenv, subst, he, ty_he =
303 typeof_aux metasenv subst context None he in
304 let metasenv, subst, t, ty =
305 eat_prods rdb ~localise force_ty metasenv subst context expty t
306 orig_he he ty_he args in
307 metasenv, subst, hbr t, ty
309 if args = [C.Implicit `Vector] && expty <> None then
310 (* we try here to expand the vector a 0 implicits, but we use
311 * the expected type *)
313 let metasenv, subst, he, ty_he =
314 typeof_aux metasenv subst context expty he in
315 metasenv, subst, hbr he, ty_he
316 with Uncertain _ | RefineFailure _ -> refine_appl ()
318 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
319 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
320 outtype,(term as orig_term),pl) as orig ->
321 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in
322 let _, _, arity, cl = List.nth itl tyno in
323 let constructorsno = List.length cl in
324 let _, metasenv, args =
325 NCicMetaSubst.saturate metasenv subst context arity 0 in
326 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
327 let metasenv, subst, term, _ =
328 typeof_aux metasenv subst context (Some ind) term in
329 let parameters, arguments = HExtlib.split_nth leftno args in
332 | C.Implicit _ as ot ->
333 let rec aux = function
334 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
335 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
340 let metasenv, subst, outtype, outsort =
341 typeof_aux metasenv subst context None outtype in
343 (* next lines are to do a subst-expansion of the outtype, so
344 that when it becomes a beta-abstraction, the beta-redex is
345 fired during substitution *)
346 (*CSC: this is instantiate! should we move it from tactics to the
347 refiner? I think so! *)
348 let metasenv,metanoouttype,newouttype,metaoutsort =
349 NCicMetaSubst.mk_meta metasenv context `Term in
351 NCicUnification.unify rdb metasenv subst context outsort metaoutsort in
353 List.filter (function (j,_) -> j <> metanoouttype) metasenv in
355 (metanoouttype,([`Name "outtype"],context,outtype,metaoutsort))::subst in
356 let outtype = newouttype in
358 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
360 if parameters = [] then C.Const r
361 else C.Appl ((C.Const r)::parameters) in
362 let metasenv, subst, ind, ind_ty =
363 typeof_aux metasenv subst context None ind in
364 let metasenv, subst =
365 check_allowed_sort_elimination rdb localise r orig_term metasenv subst
366 context ind ind_ty outsort
368 (* let's check if the type of branches are right *)
369 if List.length pl <> constructorsno then
370 raise (RefineFailure (lazy (localise orig,
371 "Wrong number of cases in a match")));
373 let metasenv, subst =
375 | None -> metasenv, subst
377 NCicUnification.unify rdb metasenv subst context resty expty
380 let _, metasenv, subst, pl =
382 (fun p (j, metasenv, subst, branches) ->
384 let cons = Ref.mk_constructor j r in
385 if parameters = [] then C.Const cons
386 else C.Appl (C.Const cons::parameters)
388 let metasenv, subst, cons, ty_cons =
389 typeof_aux metasenv subst context None cons in
391 NCicTypeChecker.type_of_branch
392 ~subst context leftno outtype cons ty_cons in
393 pp (lazy ("TYPEOFBRANCH: " ^
394 NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::inf:: " ^
395 NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
396 let metasenv, subst, p, _ =
397 typeof_aux metasenv subst context (Some ty_branch) p in
398 j-1, metasenv, subst, p :: branches)
399 pl (List.length pl, metasenv, subst, [])
401 let resty = C.Appl (outtype::arguments@[term]) in
402 let resty = NCicReduction.head_beta_reduce ~subst resty in
403 metasenv, subst, C.Match (r, outtype, term, pl),resty
404 | C.Match _ -> assert false
406 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::inf:: "^
407 NCicPp.ppterm ~metasenv ~subst ~context infty ));
408 force_ty true true metasenv subst context orig t infty expty
409 (*D*)in outside true; rc with exc -> outside false; raise exc
411 typeof_aux metasenv subst context expty term
413 and try_coercions rdb
415 metasenv subst context t orig_t infty expty perform_unification exc
417 (* we try with a coercion *)
418 let rec first exc = function
420 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
421 "The term\n%s\nhas type\n%s\nbut is here used with type\n%s"
422 (NCicPp.ppterm ~metasenv ~subst ~context t)
423 (NCicPp.ppterm ~metasenv ~subst ~context infty)
424 (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
425 | (_,metasenv, newterm, newtype, meta)::tl ->
427 pp (lazy("K=" ^ NCicPp.ppterm ~metasenv ~subst ~context newterm));
428 pp (lazy ( "UNIFICATION in CTX:\n"^
429 NCicPp.ppcontext ~metasenv ~subst context
431 NCicPp.ppmetasenv metasenv ~subst
433 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
434 NCicPp.ppterm ~metasenv ~subst ~context meta ^ "\n"));
435 let metasenv, subst =
436 NCicUnification.unify rdb metasenv subst context t meta
438 pp (lazy ( "UNIFICATION in CTX:\n"^
439 NCicPp.ppcontext ~metasenv ~subst context
441 NCicPp.ppmetasenv metasenv ~subst
443 NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^
444 NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n"));
445 let metasenv, subst =
446 if perform_unification then
447 NCicUnification.unify rdb metasenv subst context newtype expty
450 metasenv, subst, newterm, newtype
452 | NCicUnification.UnificationFailure _ -> first exc tl
453 | NCicUnification.Uncertain _ as exc -> first exc tl
455 pp(lazy("try_coercion " ^
456 NCicPp.ppterm ~metasenv ~subst ~context infty ^ " |---> " ^
457 NCicPp.ppterm ~metasenv ~subst ~context expty));
459 (NCicCoercion.look_for_coercion
460 rdb metasenv subst context infty expty)
462 and force_to_sort rdb metasenv subst context t orig_t localise ty =
463 match NCicReduction.whd ~subst context ty with
464 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
465 metasenv, subst, t, ty
466 | C.Meta (_i,(_,(C.Irl 0 | C.Ctx []))) -> assert false (*CSC: ???
467 metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) *)
468 | C.Meta (i,(_,lc)) ->
469 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
470 let metasenv, subst, newmeta =
472 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
473 else metasenv, subst, i
475 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
476 | C.Sort _ as ty -> metasenv, subst, t, ty
478 try_coercions rdb ~localise metasenv subst context
479 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
480 (Uncertain (lazy (localise orig_t,
481 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
482 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
485 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
487 (* force to sort is done in the Prod case in typeof *)
489 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
490 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
491 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
492 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
494 | C.Meta _, C.Meta (_,(_,_))
495 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
496 | x, (C.Sort _ | C.Meta _) | _, x ->
497 let y, context, orig =
498 if x == t1 then s, context, orig_s
499 else t, ((name,C.Decl s)::context), orig_t
501 raise (RefineFailure (lazy (localise orig,Printf.sprintf
502 "%s is expected to be a type, but its type is %s that is not a sort"
503 (NCicPp.ppterm ~subst ~metasenv ~context y)
504 (NCicPp.ppterm ~subst ~metasenv ~context x))))
506 and guess_name subst ctx ty =
507 let aux initial = "#" ^ String.make 1 initial in
509 | C.Const (NReference.Ref (u,_))
510 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
511 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
512 | C.Prod _ -> aux 'f'
515 let _,_,t,_ = NCicUtils.lookup_subst n subst in
516 guess_name subst ctx (NCicSubstitution.subst_meta lc t)
517 with NCicUtils.Subst_not_found _ -> aux 'M')
520 and eat_prods rdb ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args =
521 (*D*)inside 'E'; try let rc =
522 let rec aux metasenv subst args_so_far he ty_he xxx =
523 (*D*)inside 'V'; try let rc =
526 let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in
527 pp(lazy("FORCE FINAL APPL: " ^
528 NCicPp.ppterm ~metasenv ~subst ~context res ^
529 " of type " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_he
530 ^ " to type " ^ match expty with None -> "None" | Some x ->
531 NCicPp.ppterm ~metasenv ~subst ~context x));
532 (* whatever the term is, we force the type. in case of ((Lambda..) ?...)
533 * the application may also be a lambda! *)
534 force_ty false false metasenv subst context orig_t res ty_he expty
535 | NCic.Implicit `Vector::tl ->
536 let has_some_more_pis x =
537 match NCicReduction.whd ~subst context x with
538 | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false
542 aux metasenv subst args_so_far he ty_he tl
545 | RefineFailure _ as exc when has_some_more_pis ty_he ->
547 aux metasenv subst args_so_far he ty_he
548 (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl)
550 Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc))
551 | RefineFailure msg when not (has_some_more_pis ty_he) ->
552 (* instantiating the head could change the has_some_more_pis flag *)
553 raise (Uncertain msg))
555 match NCicReduction.whd ~subst context ty_he with
557 let metasenv, subst, arg, _ =
558 typeof rdb ~localise metasenv subst context arg (Some s) in
559 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
560 aux metasenv subst (arg :: args_so_far) he t tl
562 | C.Appl (C.Meta _ :: _) as t ->
563 let metasenv, subst, arg, ty_arg =
564 typeof rdb ~localise metasenv subst context arg None in
565 let name = guess_name subst context ty_arg in
566 let metasenv, _, meta, _ =
567 NCicMetaSubst.mk_meta metasenv
568 ((name,C.Decl ty_arg) :: context) `Type
570 let flex_prod = C.Prod (name, ty_arg, meta) in
571 (* next line grants that ty_args is a type *)
572 let metasenv,subst, flex_prod, _ =
573 typeof rdb ~localise metasenv subst context flex_prod None in
575 pp (lazy ( "UNIFICATION in CTX:\n"^
576 NCicPp.ppcontext ~metasenv ~subst context
578 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
579 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
581 let metasenv, subst =
582 try NCicUnification.unify rdb metasenv subst context t flex_prod
583 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
584 ("The term %s has an inferred type %s, but is applied to the" ^^
585 " argument %s of type %s")
586 (NCicPp.ppterm ~metasenv ~subst ~context he)
587 (NCicPp.ppterm ~metasenv ~subst ~context t)
588 (NCicPp.ppterm ~metasenv ~subst ~context arg)
589 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg)))
591 | NCicUnification.UnificationFailure m ->
592 NCicUnification.Uncertain m
594 (* XXX coerce to funclass *)
596 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
597 aux metasenv subst (arg :: args_so_far) he meta tl
598 | C.Match (_,_,C.Meta _,_)
599 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
600 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
601 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
602 ("The term %s is here applied to %d arguments but expects " ^^
603 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
604 (List.length args) (List.length args_so_far))))
606 let metasenv, subst, newhead, newheadty =
607 try_coercions rdb ~localise metasenv subst context
608 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
609 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
611 (RefineFailure (lazy (localise orig_he, Printf.sprintf
612 ("The term %s is here applied to %d arguments but expects " ^^
613 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
614 (List.length args) (List.length args_so_far))))
616 aux metasenv subst [] newhead newheadty (arg :: tl)
617 (*D*)in outside true; rc with exc -> outside false; raise exc
619 (* We need to reverse the order of the new created metas since they
620 are pushed on top of the metasenv in the wrong order *)
621 let highest_meta = NCicMetaSubst.maxmeta () in
622 let metasenv, subst, newhead, newheadty =
623 aux metasenv subst [] he ty_he args in
624 let metasenv_old,metasenv_new =
625 List.partition (fun (i,_) -> i <= highest_meta) metasenv
627 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
628 (*D*)in outside true; rc with exc -> outside false; raise exc
631 let rec first f l1 l2 =
633 | x1::tl1, x2::tl2 ->
634 (try f x1 x2 with Not_found -> first f tl1 tl2)
635 | _ -> raise Not_found
638 let rec find add dt t =
643 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
644 | C.Appl dl,C.Appl l -> dl,l
645 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
646 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
647 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
648 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
649 | _ -> raise Not_found
651 first (find add) dl l
654 let relocalise old_localise dt t add =
656 (try find add dt t with Not_found -> assert false)
659 let undebruijnate inductive ref t rev_fl =
660 NCicSubstitution.psubst (fun x -> x)
661 (List.rev (HExtlib.list_mapi
662 (fun (_,_,rno,_,_,_) i ->
664 (if inductive then NReference.mk_fix i rno ref
665 else NReference.mk_cofix i ref))
672 rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
674 let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *)
675 let metasenv, subst, ty, sort =
676 typeof rdb ~localise metasenv subst context ty None
678 let metasenv, subst, ty, sort =
679 force_to_sort rdb metasenv subst context ty orig_ty localise sort
681 metasenv, subst, ty, sort
684 | C.Constant (relevance, name, bo, ty , attr) ->
685 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
686 let metasenv, subst, bo, ty, height =
689 let metasenv, subst, bo, ty =
690 typeof rdb ~localise metasenv subst [] bo (Some ty) in
691 let height = (* XXX recalculate *) height in
692 metasenv, subst, Some bo, ty, height
693 | None -> metasenv, subst, None, ty, 0
695 uri, height, metasenv, subst,
696 C.Constant (relevance, name, bo, ty, attr)
697 | C.Fixpoint (inductive, fl, attr) ->
698 let len = List.length fl in
699 let types, metasenv, subst, rev_fl =
701 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
702 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
703 let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in
704 let localise = relocalise localise dbo bo in
705 (name,C.Decl ty)::types,
706 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
707 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
709 let metasenv, subst, fl =
711 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
712 let metasenv, subst, dbo, ty =
713 typeof rdb ~localise metasenv subst types dbo (Some ty)
715 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
716 (metasenv, subst, []) rev_fl
718 let height = (* XXX recalculate *) height in
721 (fun (relevance,name,k,ty,dbo) ->
723 undebruijnate inductive
724 (NReference.reference_of_spec uri
725 (if inductive then NReference.Fix (0,k,0)
726 else NReference.CoFix 0)) dbo rev_fl
728 relevance,name,k,ty,bo)
731 uri, height, metasenv, subst,
732 C.Fixpoint (inductive, fl, attr)
733 | C.Inductive (ind, leftno, itl, attr) ->
734 let len = List.length itl in
735 let metasenv,subst,rev_itl,tys =
737 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
738 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
739 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
740 ) (metasenv,subst,[],[]) itl in
741 let metasenv,subst,itl,_ =
743 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
744 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
745 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
746 let metasenv,subst,cl =
748 (fun (k_relev,n,te) (metasenv,subst,res) ->
750 try snd (HExtlib.split_nth leftno k_relev)
751 with Failure _ -> k_relev in
752 let te = NCicTypeChecker.debruijn uri len [] ~subst te in
753 let metasenv, subst, te, _ = check_type metasenv subst tys te in
754 let context,te = NCicReduction.split_prods ~subst tys leftno te in
755 let _,chopped_context_rev =
756 HExtlib.split_nth (List.length tys) (List.rev context) in
757 let sx_context_te_rev,_ =
758 HExtlib.split_nth leftno chopped_context_rev in
759 let metasenv,subst,_ =
762 (fun (metasenv,subst,context) item1 item2 ->
763 let (metasenv,subst),convertible =
765 match item1,item2 with
766 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
768 NCicUnification.unify rdb ~test_eq_only:true metasenv
769 subst context ty1 ty2,true
771 (metasenv,subst),false
772 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
775 NCicUnification.unify rdb ~test_eq_only:true metasenv
776 subst context ty1 ty2
778 NCicUnification.unify rdb ~test_eq_only:true metasenv
779 subst context bo1 bo2,true
781 (metasenv,subst),false
782 | _,_ -> (metasenv,subst),false
784 | NCicUnification.Uncertain _
785 | NCicUnification.UnificationFailure _ ->
786 (metasenv,subst),false
791 | _,C.Def (b,_) -> b in
792 if not convertible then
793 raise (RefineFailure (lazy (localise term2,
794 ("Mismatch between the left parameters of the constructor " ^
795 "and those of its inductive type"))))
797 metasenv,subst,item1::context
798 ) (metasenv,subst,tys) sx_context_ty_rev sx_context_te_rev
799 with Invalid_argument "List.fold_left2" -> assert false in
800 let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in
802 NCicReduction.whd ~subst context con_sort,
803 NCicReduction.whd ~subst [] ty_sort
805 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
806 if not (NCicEnvironment.universe_leq u1 u2) then
809 (lazy(localise te, "The type " ^
810 NCicPp.ppterm ~metasenv ~subst ~context s1 ^
811 " of the constructor is not included in the inductive"^
813 NCicPp.ppterm ~metasenv ~subst ~context s2)))
814 | C.Sort _, C.Sort C.Prop
815 | C.Sort _, C.Sort C.Type _ -> ()
820 "Wrong constructor or inductive arity shape"))));
821 (* let's check also the positivity conditions *)
824 (NCicTypeChecker.are_all_occurrences_positive
825 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
830 "Non positive occurence in " ^
831 NCicPp.ppterm ~metasenv ~subst ~context te)))
833 let relsno = List.length itl + leftno in
835 NCicSubstitution.psubst
840 NCic.Const (NReference.reference_of_spec uri
841 (NReference.Ind (ind,relsno - i,leftno))))
842 (HExtlib.list_seq 1 (relsno+1))
846 (fun (name,decl) te ->
848 NCic.Decl ty -> NCic.Prod (name,ty,te)
849 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
850 ) sx_context_te_rev te
852 metasenv,subst,(k_relev,n,te)::res
853 ) cl (metasenv,subst,[])
855 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
856 ) (metasenv,subst,[],1) rev_itl
858 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
861 (* vim:set foldmethod=marker: *)