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)
33 let time1 = Unix.gettimeofday () in
34 indent := !indent ^ String.make 1 c;
35 times := time1 :: !times;
36 prerr_endline ("{{{" ^ !indent ^ " ")
42 let time2 = Unix.gettimeofday () in
44 match !times with time1::tl -> times := tl; time1 | [] -> assert false in
45 prerr_endline ("}}} " ^ string_of_float (time2 -. time1));
46 if not ok then prerr_endline "exception raised!";
48 indent := String.sub !indent 0 (String.length !indent -1)
50 Invalid_argument _ -> indent := "??"; ()
55 let wrap_exc msg = function
56 | NCicUnification.Uncertain _ -> Uncertain msg
57 | NCicUnification.UnificationFailure _ -> RefineFailure msg
58 | NCicTypeChecker.TypeCheckerFailure _ -> RefineFailure msg
62 let exp_implicit rdb ~localise metasenv subst context expty t =
63 let foo x = function Some t -> `WithType t | None -> x in
66 let metasenv,subst,expty =
68 None -> metasenv,subst,None
70 let (metasenv,subst),typ =
73 ~unify:(fun m s c t1 t2 ->
74 try Some (NCicUnification.unify rdb m s c t1 t2)
75 with NCicUnification.UnificationFailure _ | NCicUnification.Uncertain _ -> None)
76 metasenv subst context 0 (0,NCic.Irl 0) typ
78 NCicMetaSubst.MetaSubstFailure _
79 | NCicMetaSubst.Uncertain _ ->
80 raise (RefineFailure (lazy (localise t,"Trying to create a closed meta with a non closed type")))
83 metasenv,subst,Some typ
85 NCicMetaSubst.mk_meta metasenv [] (foo `Term expty),subst
86 | `Type -> NCicMetaSubst.mk_meta metasenv context (foo `Type expty),subst
87 | `Term -> NCicMetaSubst.mk_meta metasenv context (foo `Term expty),subst
89 NCicMetaSubst.mk_meta ~attrs:[`Name s] metasenv context (foo `Term expty),subst
91 raise (RefineFailure (lazy (localise t, "A vector of implicit terms " ^
92 "can only be used in argument position")))
96 let check_allowed_sort_elimination rdb localise r orig =
99 | C.Appl l -> C.Appl (l @ [arg])
100 | t -> C.Appl [t;arg] in
101 (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
102 let rec aux metasenv subst context ind arity1 arity2 =
103 (*D*)inside 'S'; try let rc =
104 let arity1 = NCicReduction.whd ~subst context arity1 in
105 pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
106 NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
107 NCicPp.ppmetasenv ~subst metasenv));
109 | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
110 let metasenv, _, meta, _ =
111 NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type
113 let metasenv, subst =
114 try NCicUnification.unify rdb metasenv subst context
115 arity2 (C.Prod (name, so1, meta))
116 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
117 "expected %s, found %s" (* XXX localizzare meglio *)
118 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
119 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
121 aux metasenv subst ((name, C.Decl so1)::context)
122 (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta
123 | C.Sort _ (* , t ==?== C.Prod _ *) ->
124 let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in
125 let metasenv, subst =
126 try NCicUnification.unify rdb metasenv subst context
127 arity2 (C.Prod ("_", ind, meta))
128 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
129 "expected %s, found %s" (* XXX localizzare meglio *)
130 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
131 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
133 (try NCicTypeChecker.check_allowed_sort_elimination
134 ~metasenv ~subst r context ind arity1 arity2;
136 with exc -> raise (wrap_exc (lazy (localise orig,
137 "Sort elimination not allowed ")) exc))
139 (*D*)in outside true; rc with exc -> outside false; raise exc
145 ?(localise=fun _ -> Stdpp.dummy_loc)
146 metasenv subst context term expty
148 let force_ty skip_lambda skip_appl metasenv subst context orig t infty expty =
149 (*D*)inside 'F'; try let rc =
153 | C.Implicit _ -> assert false
154 | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty
155 | C.Appl _ when skip_appl -> metasenv, subst, t, expty
157 pp (lazy ("forcing infty=expty: "^
158 (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
159 (NCicPp.ppterm ~metasenv ~subst:[] ~context expty)));
161 let metasenv, subst =
162 (*D*)inside 'U'; try let rc =
163 NCicUnification.unify rdb metasenv subst context infty expty
164 (*D*)in outside true; rc with exc -> outside false; raise exc
166 metasenv, subst, t, expty
168 | NCicUnification.Uncertain _
169 | NCicUnification.UnificationFailure _ as exc ->
170 try_coercions rdb ~localise
171 metasenv subst context t orig infty expty true exc)
172 | None -> metasenv, subst, t, infty
173 (*D*)in outside true; rc with exc -> outside false; raise exc
175 let rec typeof_aux metasenv subst context expty =
177 (*D*)inside 'R'; try let rc =
178 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::exp:: " ^
179 match expty with None -> "None" | Some e ->
180 NCicPp.ppterm ~metasenv ~subst ~context e));
181 let metasenv, subst, t, infty =
186 match List.nth context (n - 1) with
187 | (_,C.Decl ty) -> NCicSubstitution.lift n ty
188 | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty
190 raise (RefineFailure (lazy (localise t,"unbound variable"))))
192 metasenv, subst, t, infty
194 (try metasenv, subst, t, C.Sort (NCicEnvironment.typeof_sort s)
196 | NCicEnvironment.UntypableSort msg ->
197 raise (RefineFailure (lazy (localise t, Lazy.force msg)))
198 | NCicEnvironment.AssertFailure msg -> raise (AssertFailure msg))
199 | C.Implicit infos ->
200 let (metasenv,_,t,ty),subst =
201 exp_implicit rdb ~localise metasenv subst context expty t infos
203 metasenv, subst, t, ty
204 | C.Meta (n,l) as t ->
207 let _,_,_,ty = NCicUtils.lookup_subst n subst in ty
208 with NCicUtils.Subst_not_found _ -> try
209 let _,_,ty = NCicUtils.lookup_meta n metasenv in
210 match ty with C.Implicit _ ->
211 prerr_endline (string_of_int n);
212 prerr_endline (NCicPp.ppmetasenv ~subst metasenv);
213 prerr_endline (NCicPp.ppsubst ~metasenv subst);
214 assert false | _ -> ty
215 with NCicUtils.Meta_not_found _ ->
216 raise (AssertFailure (lazy (Printf.sprintf
217 "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
219 metasenv, subst, t, NCicSubstitution.subst_meta l ty
221 metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
222 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
223 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
224 let metasenv, subst, s, s1 =
226 metasenv subst context s orig_s localise s1 in
227 let context1 = (name,(C.Decl s))::context in
228 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
229 let metasenv, subst, t, s2 =
231 metasenv subst context1 t orig_t localise s2 in
232 let metasenv, subst, s, t, ty =
233 sort_of_prod localise metasenv subst
234 context orig_s orig_t (name,s) t (s1,s2)
236 metasenv, subst, NCic.Prod(name,s,t), ty
237 | C.Lambda (n,(s as orig_s),t) as orig ->
238 let exp_s, exp_ty_t, force_after =
240 | None -> None, None, false
242 match NCicReduction.whd ~subst context expty with
243 | C.Prod (_,s,t) -> Some s, Some t, false
244 | _ -> None, None, true
246 let metasenv, subst, s, ty_s =
247 typeof_aux metasenv subst context None s in
248 let metasenv, subst, s, _ =
250 metasenv subst context s orig_s localise ty_s in
251 let (metasenv,subst), exp_ty_t =
255 pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst
257 NCicUnification.unify rdb metasenv subst context s exp_s,exp_ty_t
258 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
259 "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv
260 ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context
262 | None -> (metasenv, subst), None
264 let context_for_t = (n,C.Decl s) :: context in
265 let metasenv, subst, t, ty_t =
266 typeof_aux metasenv subst context_for_t exp_ty_t t
269 force_ty false true metasenv subst context orig
270 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
272 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
273 | C.LetIn (n,(ty as orig_ty),t,bo) ->
274 let metasenv, subst, ty, ty_ty =
275 typeof_aux metasenv subst context None ty in
276 let metasenv, subst, ty, _ =
278 metasenv subst context ty orig_ty localise ty_ty in
279 let metasenv, subst, t, _ =
280 typeof_aux metasenv subst context (Some ty) t in
281 let context1 = (n, C.Def (t,ty)) :: context in
282 let metasenv, subst, expty1 =
284 | None -> metasenv, subst, None
287 NCicUnification.delift_type_wrt_terms
288 rdb metasenv subst context1 (NCicSubstitution.lift 1 x)
289 [NCicSubstitution.lift 1 t]
293 let metasenv, subst, bo, bo_ty =
294 typeof_aux metasenv subst context1 expty1 bo
296 let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
297 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
298 | C.Appl ((he as orig_he)::(_::_ as args)) ->
299 let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in
301 if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t
304 let metasenv, subst, he, ty_he =
305 typeof_aux metasenv subst context None he in
306 let metasenv, subst, t, ty =
307 eat_prods rdb ~localise force_ty metasenv subst context expty t
308 orig_he he ty_he args in
309 metasenv, subst, hbr t, ty
311 if args = [C.Implicit `Vector] && expty <> None then
312 (* we try here to expand the vector a 0 implicits, but we use
313 * the expected type *)
315 let metasenv, subst, he, ty_he =
316 typeof_aux metasenv subst context expty he in
317 metasenv, subst, hbr he, ty_he
318 with Uncertain _ | RefineFailure _ -> refine_appl ()
320 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
321 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
322 outtype,(term as orig_term),pl) as orig ->
323 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in
324 let _, _, arity, cl = List.nth itl tyno in
325 let constructorsno = List.length cl in
326 let _, metasenv, args =
327 NCicMetaSubst.saturate metasenv subst context arity 0 in
328 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
329 let metasenv, subst, term, _ =
330 typeof_aux metasenv subst context (Some ind) term in
331 let parameters, arguments = HExtlib.split_nth leftno args in
334 | C.Implicit _ as ot ->
335 let rec aux = function
336 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
337 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
342 let metasenv, subst, outtype, outsort =
343 typeof_aux metasenv subst context None outtype in
345 (* next lines are to do a subst-expansion of the outtype, so
346 that when it becomes a beta-abstraction, the beta-redex is
347 fired during substitution *)
348 (*CSC: this is instantiate! should we move it from tactics to the
349 refiner? I think so! *)
350 let metasenv,metanoouttype,newouttype,metaoutsort =
351 NCicMetaSubst.mk_meta metasenv context `Term in
353 NCicUnification.unify rdb metasenv subst context outsort metaoutsort in
355 List.filter (function (j,_) -> j <> metanoouttype) metasenv in
357 (metanoouttype,([`Name "outtype"],context,outtype,metaoutsort))::subst in
358 let outtype = newouttype in
360 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
362 if parameters = [] then C.Const r
363 else C.Appl ((C.Const r)::parameters) in
364 let metasenv, subst, ind, ind_ty =
365 typeof_aux metasenv subst context None ind in
366 let metasenv, subst =
367 check_allowed_sort_elimination rdb localise r orig_term metasenv subst
368 context ind ind_ty outsort
370 (* let's check if the type of branches are right *)
371 if List.length pl <> constructorsno then
372 raise (RefineFailure (lazy (localise orig,
373 "Wrong number of cases in a match")));
375 let metasenv, subst =
377 | None -> metasenv, subst
379 NCicUnification.unify rdb metasenv subst context resty expty
382 let _, metasenv, subst, pl =
384 (fun p (j, metasenv, subst, branches) ->
386 let cons = Ref.mk_constructor j r in
387 if parameters = [] then C.Const cons
388 else C.Appl (C.Const cons::parameters)
390 let metasenv, subst, cons, ty_cons =
391 typeof_aux metasenv subst context None cons in
393 NCicTypeChecker.type_of_branch
394 ~subst context leftno outtype cons ty_cons in
395 pp (lazy ("TYPEOFBRANCH: " ^
396 NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::inf:: " ^
397 NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
398 let metasenv, subst, p, _ =
399 typeof_aux metasenv subst context (Some ty_branch) p in
400 j-1, metasenv, subst, p :: branches)
401 pl (List.length pl, metasenv, subst, [])
403 let resty = C.Appl (outtype::arguments@[term]) in
404 let resty = NCicReduction.head_beta_reduce ~subst resty in
405 metasenv, subst, C.Match (r, outtype, term, pl),resty
406 | C.Match _ -> assert false
408 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::inf:: "^
409 NCicPp.ppterm ~metasenv ~subst ~context infty ));
410 force_ty true true metasenv subst context orig t infty expty
411 (*D*)in outside true; rc with exc -> outside false; raise exc
413 typeof_aux metasenv subst context expty term
415 and try_coercions rdb
417 metasenv subst context t orig_t infty expty perform_unification exc
419 (* we try with a coercion *)
420 let rec first exc = function
422 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
423 "The term\n%s\nhas type\n%s\nbut is here used with type\n%s"
424 (NCicPp.ppterm ~metasenv ~subst ~context t)
425 (NCicPp.ppterm ~metasenv ~subst ~context infty)
426 (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
427 | (_,metasenv, newterm, newtype, meta)::tl ->
429 pp (lazy("K=" ^ NCicPp.ppterm ~metasenv ~subst ~context newterm));
430 pp (lazy ( "UNIFICATION in CTX:\n"^
431 NCicPp.ppcontext ~metasenv ~subst context
433 NCicPp.ppmetasenv metasenv ~subst
435 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
436 NCicPp.ppterm ~metasenv ~subst ~context meta ^ "\n"));
437 let metasenv, subst =
438 NCicUnification.unify rdb metasenv subst context t meta
440 pp (lazy ( "UNIFICATION in CTX:\n"^
441 NCicPp.ppcontext ~metasenv ~subst context
443 NCicPp.ppmetasenv metasenv ~subst
445 NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^
446 NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n"));
447 let metasenv, subst =
448 if perform_unification then
449 NCicUnification.unify rdb metasenv subst context newtype expty
452 metasenv, subst, newterm, newtype
454 | NCicUnification.UnificationFailure _ -> first exc tl
455 | NCicUnification.Uncertain _ as exc -> first exc tl
457 pp(lazy("try_coercion " ^
458 NCicPp.ppterm ~metasenv ~subst ~context infty ^ " |---> " ^
459 NCicPp.ppterm ~metasenv ~subst ~context expty));
461 (NCicCoercion.look_for_coercion
462 rdb metasenv subst context infty expty)
464 and force_to_sort rdb metasenv subst context t orig_t localise ty =
465 match NCicReduction.whd ~subst context ty with
466 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
467 metasenv, subst, t, ty
468 | C.Meta (_i,(_,(C.Irl 0 | C.Ctx []))) -> assert false (*CSC: ???
469 metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) *)
470 | C.Meta (i,(_,lc)) ->
471 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
472 let metasenv, subst, newmeta =
474 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
475 else metasenv, subst, i
477 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
478 | C.Sort _ as ty -> metasenv, subst, t, ty
480 try_coercions rdb ~localise metasenv subst context
481 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
482 (Uncertain (lazy (localise orig_t,
483 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
484 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
487 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
489 (* force to sort is done in the Prod case in typeof *)
491 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
492 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
493 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
494 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
496 | C.Meta _, C.Meta (_,(_,_))
497 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
498 | x, (C.Sort _ | C.Meta _) | _, x ->
499 let y, context, orig =
500 if x == t1 then s, context, orig_s
501 else t, ((name,C.Decl s)::context), orig_t
503 raise (RefineFailure (lazy (localise orig,Printf.sprintf
504 "%s is expected to be a type, but its type is %s that is not a sort"
505 (NCicPp.ppterm ~subst ~metasenv ~context y)
506 (NCicPp.ppterm ~subst ~metasenv ~context x))))
508 and guess_name subst ctx ty =
509 let aux initial = "#" ^ String.make 1 initial in
511 | C.Const (NReference.Ref (u,_))
512 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
513 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
514 | C.Prod _ -> aux 'f'
517 let _,_,t,_ = NCicUtils.lookup_subst n subst in
518 guess_name subst ctx (NCicSubstitution.subst_meta lc t)
519 with NCicUtils.Subst_not_found _ -> aux 'M')
522 and eat_prods rdb ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args =
523 (*D*)inside 'E'; try let rc =
524 let rec aux metasenv subst args_so_far he ty_he xxx =
525 (*D*)inside 'V'; try let rc =
528 let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in
529 pp(lazy("FORCE FINAL APPL: " ^
530 NCicPp.ppterm ~metasenv ~subst ~context res ^
531 " of type " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_he
532 ^ " to type " ^ match expty with None -> "None" | Some x ->
533 NCicPp.ppterm ~metasenv ~subst ~context x));
534 (* whatever the term is, we force the type. in case of ((Lambda..) ?...)
535 * the application may also be a lambda! *)
536 force_ty false false metasenv subst context orig_t res ty_he expty
537 | NCic.Implicit `Vector::tl ->
538 let has_some_more_pis x =
539 match NCicReduction.whd ~subst context x with
540 | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false
544 aux metasenv subst args_so_far he ty_he tl
547 | RefineFailure _ as exc when has_some_more_pis ty_he ->
549 aux metasenv subst args_so_far he ty_he
550 (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl)
552 Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc))
553 | RefineFailure msg when not (has_some_more_pis ty_he) ->
554 (* instantiating the head could change the has_some_more_pis flag *)
555 raise (Uncertain msg))
557 match NCicReduction.whd ~subst context ty_he with
559 let metasenv, subst, arg, _ =
560 typeof rdb ~localise metasenv subst context arg (Some s) in
561 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
562 aux metasenv subst (arg :: args_so_far) he t tl
564 | C.Appl (C.Meta _ :: _) as t ->
565 let metasenv, subst, arg, ty_arg =
566 typeof rdb ~localise metasenv subst context arg None in
567 let name = guess_name subst context ty_arg in
568 let metasenv, _, meta, _ =
569 NCicMetaSubst.mk_meta metasenv
570 ((name,C.Decl ty_arg) :: context) `Type
572 let flex_prod = C.Prod (name, ty_arg, meta) in
573 (* next line grants that ty_args is a type *)
574 let metasenv,subst, flex_prod, _ =
575 typeof rdb ~localise metasenv subst context flex_prod None in
577 pp (lazy ( "UNIFICATION in CTX:\n"^
578 NCicPp.ppcontext ~metasenv ~subst context
580 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
581 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
583 let metasenv, subst =
584 try NCicUnification.unify rdb metasenv subst context t flex_prod
585 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
586 ("The term %s has an inferred type %s, but is applied to the" ^^
587 " argument %s of type %s")
588 (NCicPp.ppterm ~metasenv ~subst ~context he)
589 (NCicPp.ppterm ~metasenv ~subst ~context t)
590 (NCicPp.ppterm ~metasenv ~subst ~context arg)
591 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg)))
593 | NCicUnification.UnificationFailure m ->
594 NCicUnification.Uncertain m
596 (* XXX coerce to funclass *)
598 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
599 aux metasenv subst (arg :: args_so_far) he meta tl
600 | C.Match (_,_,C.Meta _,_)
601 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
602 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
603 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
604 ("The term %s is here applied to %d arguments but expects " ^^
605 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
606 (List.length args) (List.length args_so_far))))
608 let metasenv, subst, newhead, newheadty =
609 try_coercions rdb ~localise metasenv subst context
610 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
611 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
613 (RefineFailure (lazy (localise orig_he, Printf.sprintf
614 ("The term %s is here applied to %d arguments but expects " ^^
615 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
616 (List.length args) (List.length args_so_far))))
618 aux metasenv subst [] newhead newheadty (arg :: tl)
619 (*D*)in outside true; rc with exc -> outside false; raise exc
621 (* We need to reverse the order of the new created metas since they
622 are pushed on top of the metasenv in the wrong order *)
623 let highest_meta = NCicMetaSubst.maxmeta () in
624 let metasenv, subst, newhead, newheadty =
625 aux metasenv subst [] he ty_he args in
626 let metasenv_old,metasenv_new =
627 List.partition (fun (i,_) -> i <= highest_meta) metasenv
629 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
630 (*D*)in outside true; rc with exc -> outside false; raise exc
633 let rec first f l1 l2 =
635 | x1::tl1, x2::tl2 ->
636 (try f x1 x2 with Not_found -> first f tl1 tl2)
637 | _ -> raise Not_found
640 let rec find add dt t =
645 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
646 | C.Appl dl,C.Appl l -> dl,l
647 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
648 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
649 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
650 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
651 | _ -> raise Not_found
653 first (find add) dl l
656 let relocalise old_localise dt t add =
658 (try find add dt t with Not_found -> assert false)
661 let undebruijnate inductive ref t rev_fl =
662 NCicSubstitution.psubst (fun x -> x)
663 (List.rev (HExtlib.list_mapi
664 (fun (_,_,rno,_,_,_) i ->
666 (if inductive then NReference.mk_fix i rno ref
667 else NReference.mk_cofix i ref))
674 rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
676 let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *)
677 let metasenv, subst, ty, sort =
678 typeof rdb ~localise metasenv subst context ty None
680 let metasenv, subst, ty, sort =
681 force_to_sort rdb metasenv subst context ty orig_ty localise sort
683 metasenv, subst, ty, sort
686 | C.Constant (relevance, name, bo, ty , attr) ->
687 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
688 let metasenv, subst, bo, ty, height =
691 let metasenv, subst, bo, ty =
692 typeof rdb ~localise metasenv subst [] bo (Some ty) in
693 let height = (* XXX recalculate *) height in
694 metasenv, subst, Some bo, ty, height
695 | None -> metasenv, subst, None, ty, 0
697 uri, height, metasenv, subst,
698 C.Constant (relevance, name, bo, ty, attr)
699 | C.Fixpoint (inductive, fl, attr) ->
700 let len = List.length fl in
701 let types, metasenv, subst, rev_fl =
703 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
704 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
705 let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in
706 let localise = relocalise localise dbo bo in
707 (name,C.Decl ty)::types,
708 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
709 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
711 let metasenv, subst, fl =
713 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
714 let metasenv, subst, dbo, ty =
715 typeof rdb ~localise metasenv subst types dbo (Some ty)
717 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
718 (metasenv, subst, []) rev_fl
720 let height = (* XXX recalculate *) height in
723 (fun (relevance,name,k,ty,dbo) ->
725 undebruijnate inductive
726 (NReference.reference_of_spec uri
727 (if inductive then NReference.Fix (0,k,0)
728 else NReference.CoFix 0)) dbo rev_fl
730 relevance,name,k,ty,bo)
733 uri, height, metasenv, subst,
734 C.Fixpoint (inductive, fl, attr)
735 | C.Inductive (ind, leftno, itl, attr) ->
736 let len = List.length itl in
737 let metasenv,subst,rev_itl,tys =
739 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
740 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
741 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
742 ) (metasenv,subst,[],[]) itl in
743 let metasenv,subst,itl,_ =
745 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
746 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
747 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
748 let metasenv,subst,cl =
750 (fun (k_relev,n,te) (metasenv,subst,res) ->
752 try snd (HExtlib.split_nth leftno k_relev)
753 with Failure _ -> k_relev in
754 let te = NCicTypeChecker.debruijn uri len [] ~subst te in
755 let metasenv, subst, te, _ = check_type metasenv subst tys te in
756 let context,te = NCicReduction.split_prods ~subst tys leftno te in
757 let _,chopped_context_rev =
758 HExtlib.split_nth (List.length tys) (List.rev context) in
759 let sx_context_te_rev,_ =
760 HExtlib.split_nth leftno chopped_context_rev in
761 let metasenv,subst,_ =
764 (fun (metasenv,subst,context) item1 item2 ->
765 let (metasenv,subst),convertible =
767 match item1,item2 with
768 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
770 NCicUnification.unify rdb ~test_eq_only:true metasenv
771 subst context ty1 ty2,true
773 (metasenv,subst),false
774 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
777 NCicUnification.unify rdb ~test_eq_only:true metasenv
778 subst context ty1 ty2
780 NCicUnification.unify rdb ~test_eq_only:true metasenv
781 subst context bo1 bo2,true
783 (metasenv,subst),false
784 | _,_ -> (metasenv,subst),false
786 | NCicUnification.Uncertain _
787 | NCicUnification.UnificationFailure _ ->
788 (metasenv,subst),false
793 | _,C.Def (b,_) -> b in
794 if not convertible then
795 raise (RefineFailure (lazy (localise term2,
796 ("Mismatch between the left parameters of the constructor " ^
797 "and those of its inductive type"))))
799 metasenv,subst,item1::context
800 ) (metasenv,subst,tys) sx_context_ty_rev sx_context_te_rev
801 with Invalid_argument "List.fold_left2" -> assert false in
802 let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in
804 NCicReduction.whd ~subst context con_sort,
805 NCicReduction.whd ~subst [] ty_sort
807 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
808 if not (NCicEnvironment.universe_leq u1 u2) then
811 (lazy(localise te, "The type " ^
812 NCicPp.ppterm ~metasenv ~subst ~context s1 ^
813 " of the constructor is not included in the inductive"^
815 NCicPp.ppterm ~metasenv ~subst ~context s2)))
816 | C.Sort _, C.Sort C.Prop
817 | C.Sort _, C.Sort C.Type _ -> ()
822 "Wrong constructor or inductive arity shape"))));
823 (* let's check also the positivity conditions *)
826 (NCicTypeChecker.are_all_occurrences_positive
827 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
832 "Non positive occurence in " ^
833 NCicPp.ppterm ~metasenv ~subst ~context te)))
835 let relsno = List.length itl + leftno in
837 NCicSubstitution.psubst
842 NCic.Const (NReference.reference_of_spec uri
843 (NReference.Ind (ind,relsno - i,leftno))))
844 (HExtlib.list_seq 1 (relsno+1))
848 (fun (name,decl) te ->
850 NCic.Decl ty -> NCic.Prod (name,ty,te)
851 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
852 ) sx_context_te_rev te
854 metasenv,subst,(k_relev,n,te)::res
855 ) cl (metasenv,subst,[])
857 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
858 ) (metasenv,subst,[],1) rev_itl
860 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
863 let typeof st ?localise m s c t1 t2 =
864 let time1 = Unix.gettimeofday () in
865 let res = typeof st ?localise m s c t1 t2 in
866 let time2 = Unix.gettimeofday () in
867 prerr_endline ("OVERALL TYPEOF TIME: " ^ string_of_float (time2 -. time1));
871 (* vim:set foldmethod=marker: *)