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
22 let inside c = indent := !indent ^ String.make 1 c;;
23 let outside () = indent := String.sub !indent 0 (String.length !indent -1);;
27 prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
32 let wrap_exc msg = function
33 | NCicUnification.Uncertain _ -> Uncertain msg
34 | NCicUnification.UnificationFailure _ -> RefineFailure msg
35 | NCicTypeChecker.TypeCheckerFailure _ -> RefineFailure msg
39 let exp_implicit ~localise metasenv context expty t =
40 let foo x = match expty with Some t -> `WithType t | None -> x in
42 | `Closed -> NCicMetaSubst.mk_meta metasenv [] (foo `Term)
43 | `Type -> NCicMetaSubst.mk_meta metasenv context (foo `Type)
44 | `Term -> NCicMetaSubst.mk_meta metasenv context (foo `Term)
46 NCicMetaSubst.mk_meta ~attrs:[`Name s] metasenv context (foo `Term)
48 raise (RefineFailure (lazy (localise t, "A vector of implicit terms " ^
49 "can only be used in argument position")))
53 let check_allowed_sort_elimination rdb localise r orig =
56 | C.Appl l -> C.Appl (l @ [arg])
57 | t -> C.Appl [t;arg] in
58 (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
59 let rec aux metasenv subst context ind arity1 arity2 =
60 (*D*)inside 'S'; try let rc =
61 let arity1 = NCicReduction.whd ~subst context arity1 in
62 pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
63 NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
64 NCicPp.ppmetasenv ~subst metasenv));
66 | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
67 let metasenv, _, meta, _ =
68 NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type
71 try NCicUnification.unify rdb metasenv subst context
72 arity2 (C.Prod (name, so1, meta))
73 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
74 "expected %s, found %s" (* XXX localizzare meglio *)
75 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
76 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
78 aux metasenv subst ((name, C.Decl so1)::context)
79 (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta
80 | C.Sort _ (* , t ==?== C.Prod _ *) ->
81 let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in
83 try NCicUnification.unify rdb metasenv subst context
84 arity2 (C.Prod ("_", ind, meta))
85 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
86 "expected %s, found %s" (* XXX localizzare meglio *)
87 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
88 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
90 (try NCicTypeChecker.check_allowed_sort_elimination
91 ~metasenv ~subst r context ind arity1 arity2;
93 with exc -> raise (wrap_exc (lazy (localise orig,
94 "Sort elimination not allowed ")) exc))
96 (*D*)in outside(); rc with exc -> outside (); raise exc
102 ?(localise=fun _ -> Stdpp.dummy_loc)
103 metasenv subst context term expty
105 let force_ty skip_lambda skip_appl metasenv subst context orig t infty expty =
106 (*D*)inside 'F'; try let rc =
110 | C.Implicit _ -> assert false
111 | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty
112 | C.Appl _ when skip_appl -> metasenv, subst, t, expty
114 pp (lazy ("forcing infty=expty: "^
115 (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
116 (NCicPp.ppterm ~metasenv ~subst:[] ~context expty)));
118 let metasenv, subst =
119 (*D*)inside 'U'; try let rc =
120 NCicUnification.unify rdb metasenv subst context infty expty
121 (*D*)in outside(); rc with exc -> outside (); raise exc
123 metasenv, subst, t, expty
125 | NCicUnification.Uncertain _
126 | NCicUnification.UnificationFailure _ as exc ->
127 try_coercions rdb ~localise
128 metasenv subst context t orig infty expty true exc)
129 | None -> metasenv, subst, t, infty
130 (*D*)in outside(); rc with exc -> outside (); raise exc
132 let rec typeof_aux metasenv subst context expty =
134 (*D*)inside 'R'; try let rc =
135 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::exp:: " ^
136 match expty with None -> "None" | Some e ->
137 NCicPp.ppterm ~metasenv ~subst ~context e));
138 let metasenv, subst, t, infty =
143 match List.nth context (n - 1) with
144 | (_,C.Decl ty) -> NCicSubstitution.lift n ty
145 | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty
147 raise (RefineFailure (lazy (localise t,"unbound variable"))))
149 metasenv, subst, t, infty
151 (try metasenv, subst, t, C.Sort (NCicEnvironment.typeof_sort s)
153 | NCicEnvironment.UntypableSort msg ->
154 raise (RefineFailure (lazy (localise t, Lazy.force msg)))
155 | NCicEnvironment.AssertFailure msg -> raise (AssertFailure msg))
156 | C.Implicit infos ->
157 let metasenv,_,t,ty =
158 exp_implicit ~localise metasenv context expty t infos
160 metasenv, subst, t, ty
161 | C.Meta (n,l) as t ->
164 let _,_,_,ty = NCicUtils.lookup_subst n subst in ty
165 with NCicUtils.Subst_not_found _ -> try
166 let _,_,ty = NCicUtils.lookup_meta n metasenv in
167 match ty with C.Implicit _ ->
168 prerr_endline (string_of_int n);
169 prerr_endline (NCicPp.ppmetasenv ~subst metasenv);
170 prerr_endline (NCicPp.ppsubst ~metasenv subst);
171 assert false | _ -> ty
172 with NCicUtils.Meta_not_found _ ->
173 raise (AssertFailure (lazy (Printf.sprintf
174 "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
176 metasenv, subst, t, NCicSubstitution.subst_meta l ty
178 metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
179 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
180 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
181 let metasenv, subst, s, s1 =
183 metasenv subst context s orig_s localise s1 in
184 let context1 = (name,(C.Decl s))::context in
185 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
186 let metasenv, subst, t, s2 =
188 metasenv subst context1 t orig_t localise s2 in
189 let metasenv, subst, s, t, ty =
190 sort_of_prod localise metasenv subst
191 context orig_s orig_t (name,s) t (s1,s2)
193 metasenv, subst, NCic.Prod(name,s,t), ty
194 | C.Lambda (n,(s as orig_s),t) as orig ->
195 let exp_s, exp_ty_t, force_after =
197 | None -> None, None, false
199 match NCicReduction.whd ~subst context expty with
200 | C.Prod (_,s,t) -> Some s, Some t, false
201 | _ -> None, None, true
203 let metasenv, subst, s, ty_s =
204 typeof_aux metasenv subst context None s in
205 let metasenv, subst, s, _ =
207 metasenv subst context s orig_s localise ty_s in
208 let (metasenv,subst), exp_ty_t =
212 pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst
214 NCicUnification.unify rdb metasenv subst context s exp_s,exp_ty_t
215 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
216 "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv
217 ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context
219 | None -> (metasenv, subst), None
221 let context_for_t = (n,C.Decl s) :: context in
222 let metasenv, subst, t, ty_t =
223 typeof_aux metasenv subst context_for_t exp_ty_t t
226 force_ty false true metasenv subst context orig
227 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
229 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
230 | C.LetIn (n,(ty as orig_ty),t,bo) ->
231 let metasenv, subst, ty, ty_ty =
232 typeof_aux metasenv subst context None ty in
233 let metasenv, subst, ty, _ =
235 metasenv subst context ty orig_ty localise ty_ty in
236 let metasenv, subst, t, _ =
237 typeof_aux metasenv subst context (Some ty) t in
238 let context1 = (n, C.Def (t,ty)) :: context in
239 let metasenv, subst, expty1 =
241 | None -> metasenv, subst, None
244 NCicUnification.delift_type_wrt_terms
245 rdb metasenv subst context1 (NCicSubstitution.lift 1 x)
246 [NCicSubstitution.lift 1 t]
250 let metasenv, subst, bo, bo_ty =
251 typeof_aux metasenv subst context1 expty1 bo
253 let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
254 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
255 | C.Appl ((he as orig_he)::(_::_ as args)) ->
256 let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in
258 if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t
261 let metasenv, subst, he, ty_he =
262 typeof_aux metasenv subst context None he in
263 let metasenv, subst, t, ty =
264 eat_prods rdb ~localise force_ty metasenv subst context expty t
265 orig_he he ty_he args in
266 metasenv, subst, hbr t, ty
268 if args = [C.Implicit `Vector] && expty <> None then
269 (* we try here to expand the vector a 0 implicits, but we use
270 * the expected type *)
272 let metasenv, subst, he, ty_he =
273 typeof_aux metasenv subst context expty he in
274 metasenv, subst, hbr he, ty_he
275 with Uncertain _ | RefineFailure _ -> refine_appl ()
277 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
278 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
279 outtype,(term as orig_term),pl) as orig ->
280 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in
281 let _, _, arity, cl = List.nth itl tyno in
282 let constructorsno = List.length cl in
283 let _, metasenv, args =
284 NCicMetaSubst.saturate metasenv subst context arity 0 in
285 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
286 let metasenv, subst, term, _ =
287 typeof_aux metasenv subst context (Some ind) term in
288 let parameters, arguments = HExtlib.split_nth leftno args in
291 | C.Implicit _ as ot ->
292 let rec aux = function
293 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
294 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
299 let metasenv, subst, outtype, outsort =
300 typeof_aux metasenv subst context None outtype in
302 (* next lines are to do a subst-expansion of the outtype, so
303 that when it becomes a beta-abstraction, the beta-redex is
304 fired during substitution *)
305 (*CSC: this is instantiate! should we move it from tactics to the
306 refiner? I think so! *)
307 let metasenv,metanoouttype,newouttype,metaoutsort =
308 NCicMetaSubst.mk_meta metasenv context `Term in
310 NCicUnification.unify rdb metasenv subst context outsort metaoutsort in
312 List.filter (function (j,_) -> j <> metanoouttype) metasenv in
314 (metanoouttype,([`Name "outtype"],context,outtype,metaoutsort))::subst in
315 let outtype = newouttype in
317 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
319 if parameters = [] then C.Const r
320 else C.Appl ((C.Const r)::parameters) in
321 let metasenv, subst, ind, ind_ty =
322 typeof_aux metasenv subst context None ind in
323 let metasenv, subst =
324 check_allowed_sort_elimination rdb localise r orig_term metasenv subst
325 context ind ind_ty outsort
327 (* let's check if the type of branches are right *)
328 if List.length pl <> constructorsno then
329 raise (RefineFailure (lazy (localise orig,
330 "Wrong number of cases in a match")));
332 let metasenv, subst =
334 | None -> metasenv, subst
336 NCicUnification.unify rdb metasenv subst context resty expty
339 let _, metasenv, subst, pl =
341 (fun p (j, metasenv, subst, branches) ->
343 let cons = Ref.mk_constructor j r in
344 if parameters = [] then C.Const cons
345 else C.Appl (C.Const cons::parameters)
347 let metasenv, subst, cons, ty_cons =
348 typeof_aux metasenv subst context None cons in
350 NCicTypeChecker.type_of_branch
351 ~subst context leftno outtype cons ty_cons in
352 pp (lazy ("TYPEOFBRANCH: " ^
353 NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::inf:: " ^
354 NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
355 let metasenv, subst, p, _ =
356 typeof_aux metasenv subst context (Some ty_branch) p in
357 j-1, metasenv, subst, p :: branches)
358 pl (List.length pl, metasenv, subst, [])
360 let resty = C.Appl (outtype::arguments@[term]) in
361 let resty = NCicReduction.head_beta_reduce ~subst resty in
362 metasenv, subst, C.Match (r, outtype, term, pl),resty
363 | C.Match _ -> assert false
365 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::inf:: "^
366 NCicPp.ppterm ~metasenv ~subst ~context infty ));
367 force_ty true true metasenv subst context orig t infty expty
368 (*D*)in outside(); rc with exc -> outside (); raise exc
370 typeof_aux metasenv subst context expty term
372 and try_coercions rdb
374 metasenv subst context t orig_t infty expty perform_unification exc
376 (* we try with a coercion *)
377 let rec first exc = function
379 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
380 "The term\n%s\nhas type\n%s\nbut is here used with type\n%s"
381 (NCicPp.ppterm ~metasenv ~subst ~context t)
382 (NCicPp.ppterm ~metasenv ~subst ~context infty)
383 (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
384 | (_,metasenv, newterm, newtype, meta)::tl ->
386 pp (lazy("K=" ^ NCicPp.ppterm ~metasenv ~subst ~context newterm));
387 pp (lazy ( "UNIFICATION in CTX:\n"^
388 NCicPp.ppcontext ~metasenv ~subst context
390 NCicPp.ppmetasenv metasenv ~subst
392 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
393 NCicPp.ppterm ~metasenv ~subst ~context meta ^ "\n"));
394 let metasenv, subst =
395 NCicUnification.unify rdb metasenv subst context t meta
397 pp (lazy ( "UNIFICATION in CTX:\n"^
398 NCicPp.ppcontext ~metasenv ~subst context
400 NCicPp.ppmetasenv metasenv ~subst
402 NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^
403 NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n"));
404 let metasenv, subst =
405 if perform_unification then
406 NCicUnification.unify rdb metasenv subst context newtype expty
409 metasenv, subst, newterm, newtype
411 | NCicUnification.UnificationFailure _ -> first exc tl
412 | NCicUnification.Uncertain _ as exc -> first exc tl
414 pp(lazy("try_coercion " ^
415 NCicPp.ppterm ~metasenv ~subst ~context infty ^ " |---> " ^
416 NCicPp.ppterm ~metasenv ~subst ~context expty));
418 (NCicCoercion.look_for_coercion
419 rdb metasenv subst context infty expty)
421 and force_to_sort rdb metasenv subst context t orig_t localise ty =
422 match NCicReduction.whd ~subst context ty with
423 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
424 metasenv, subst, t, ty
425 | C.Meta (_i,(_,(C.Irl 0 | C.Ctx []))) -> assert false (*CSC: ???
426 metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) *)
427 | C.Meta (i,(_,lc)) ->
428 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
429 let metasenv, subst, newmeta =
431 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
432 else metasenv, subst, i
434 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
435 | C.Sort _ as ty -> metasenv, subst, t, ty
437 try_coercions rdb ~localise metasenv subst context
438 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
439 (Uncertain (lazy (localise orig_t,
440 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
441 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
444 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
446 (* force to sort is done in the Prod case in typeof *)
448 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
449 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
450 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
451 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
453 | C.Meta _, C.Meta (_,(_,_))
454 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
455 | x, (C.Sort _ | C.Meta _) | _, x ->
456 let y, context, orig =
457 if x == t1 then s, context, orig_s
458 else t, ((name,C.Decl s)::context), orig_t
460 raise (RefineFailure (lazy (localise orig,Printf.sprintf
461 "%s is expected to be a type, but its type is %s that is not a sort"
462 (NCicPp.ppterm ~subst ~metasenv ~context y)
463 (NCicPp.ppterm ~subst ~metasenv ~context x))))
465 and guess_name subst ctx ty =
466 let aux initial = "#" ^ String.make 1 initial in
468 | C.Const (NReference.Ref (u,_))
469 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
470 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
471 | C.Prod _ -> aux 'f'
474 let _,_,t,_ = NCicUtils.lookup_subst n subst in
475 guess_name subst ctx (NCicSubstitution.subst_meta lc t)
476 with NCicUtils.Subst_not_found _ -> aux 'M')
479 and eat_prods rdb ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args =
480 (*D*)inside 'E'; try let rc =
481 let rec aux metasenv subst args_so_far he ty_he = function
483 let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in
484 pp(lazy("FORCE FINAL APPL: " ^
485 NCicPp.ppterm ~metasenv ~subst ~context res ^
486 " of type " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_he
487 ^ " to type " ^ match expty with None -> "None" | Some x ->
488 NCicPp.ppterm ~metasenv ~subst ~context x));
489 (* whatever the term is, we force the type. in case of ((Lambda..) ?...)
490 * the application may also be a lambda! *)
491 force_ty false false metasenv subst context orig_t res ty_he expty
492 | NCic.Implicit `Vector::tl ->
493 let has_some_more_pis x =
494 match NCicReduction.whd ~subst context x with
495 | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false
499 aux metasenv subst args_so_far he ty_he tl
502 | RefineFailure _ as exc when has_some_more_pis ty_he ->
504 aux metasenv subst args_so_far he ty_he
505 (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl)
507 Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc)))
509 match NCicReduction.whd ~subst context ty_he with
511 let metasenv, subst, arg, _ =
512 typeof rdb ~localise metasenv subst context arg (Some s) in
513 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
514 aux metasenv subst (arg :: args_so_far) he t tl
516 | C.Appl (C.Meta _ :: _) as t ->
517 let metasenv, subst, arg, ty_arg =
518 typeof rdb ~localise metasenv subst context arg None in
519 let name = guess_name subst context ty_arg in
520 let metasenv, _, meta, _ =
521 NCicMetaSubst.mk_meta metasenv
522 ((name,C.Decl ty_arg) :: context) `Type
524 let flex_prod = C.Prod (name, ty_arg, meta) in
525 (* next line grants that ty_args is a type *)
526 let metasenv,subst, flex_prod, _ =
527 typeof rdb ~localise metasenv subst context flex_prod None in
529 pp (lazy ( "UNIFICATION in CTX:\n"^
530 NCicPp.ppcontext ~metasenv ~subst context
532 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
533 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
535 let metasenv, subst =
536 try NCicUnification.unify rdb metasenv subst context t flex_prod
537 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
538 ("The term %s has an inferred type %s, but is applied to the" ^^
539 " argument %s of type %s")
540 (NCicPp.ppterm ~metasenv ~subst ~context he)
541 (NCicPp.ppterm ~metasenv ~subst ~context t)
542 (NCicPp.ppterm ~metasenv ~subst ~context arg)
543 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg)))
545 | NCicUnification.UnificationFailure m ->
546 NCicUnification.Uncertain m
548 (* XXX coerce to funclass *)
550 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
551 aux metasenv subst (arg :: args_so_far) he meta tl
552 | C.Match (_,_,C.Meta _,_)
553 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
554 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
555 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
556 ("The term %s is here applied to %d arguments but expects " ^^
557 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
558 (List.length args) (List.length args_so_far))))
560 let metasenv, subst, newhead, newheadty =
561 try_coercions rdb ~localise metasenv subst context
562 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
563 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
565 (RefineFailure (lazy (localise orig_he, Printf.sprintf
566 ("The term %s is here applied to %d arguments but expects " ^^
567 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
568 (List.length args) (List.length args_so_far))))
570 aux metasenv subst [] newhead newheadty (arg :: tl)
572 (* We need to reverse the order of the new created metas since they
573 are pushed on top of the metasenv in the wrong order *)
574 let highest_meta = NCicMetaSubst.maxmeta () in
575 let metasenv, subst, newhead, newheadty =
576 aux metasenv subst [] he ty_he args in
577 let metasenv_old,metasenv_new =
578 List.partition (fun (i,_) -> i <= highest_meta) metasenv
580 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
581 (*D*)in outside(); rc with exc -> outside (); raise exc
584 let rec first f l1 l2 =
586 | x1::tl1, x2::tl2 ->
587 (try f x1 x2 with Not_found -> first f tl1 tl2)
588 | _ -> raise Not_found
591 let rec find add dt t =
596 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
597 | C.Appl dl,C.Appl l -> dl,l
598 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
599 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
600 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
601 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
602 | _ -> raise Not_found
604 first (find add) dl l
607 let relocalise old_localise dt t add =
609 (try find add dt t with Not_found -> assert false)
612 let undebruijnate inductive ref t rev_fl =
613 NCicSubstitution.psubst (fun x -> x)
614 (List.rev (HExtlib.list_mapi
615 (fun (_,_,rno,_,_,_) i ->
617 (if inductive then NReference.mk_fix i rno ref
618 else NReference.mk_cofix i ref))
625 rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
627 let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *)
628 let metasenv, subst, ty, sort =
629 typeof rdb ~localise metasenv subst context ty None
631 let metasenv, subst, ty, sort =
632 force_to_sort rdb metasenv subst context ty orig_ty localise sort
634 metasenv, subst, ty, sort
637 | C.Constant (relevance, name, bo, ty , attr) ->
638 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
639 let metasenv, subst, bo, ty, height =
642 let metasenv, subst, bo, ty =
643 typeof rdb ~localise metasenv subst [] bo (Some ty) in
644 let height = (* XXX recalculate *) height in
645 metasenv, subst, Some bo, ty, height
646 | None -> metasenv, subst, None, ty, 0
648 uri, height, metasenv, subst,
649 C.Constant (relevance, name, bo, ty, attr)
650 | C.Fixpoint (inductive, fl, attr) ->
651 let len = List.length fl in
652 let types, metasenv, subst, rev_fl =
654 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
655 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
656 let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in
657 let localise = relocalise localise dbo bo in
658 (name,C.Decl ty)::types,
659 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
660 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
662 let metasenv, subst, fl =
664 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
665 let metasenv, subst, dbo, ty =
666 typeof rdb ~localise metasenv subst types dbo (Some ty)
668 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
669 (metasenv, subst, []) rev_fl
671 let height = (* XXX recalculate *) height in
674 (fun (relevance,name,k,ty,dbo) ->
676 undebruijnate inductive
677 (NReference.reference_of_spec uri
678 (if inductive then NReference.Fix (0,k,0)
679 else NReference.CoFix 0)) dbo rev_fl
681 relevance,name,k,ty,bo)
684 uri, height, metasenv, subst,
685 C.Fixpoint (inductive, fl, attr)
686 | C.Inductive (ind, leftno, itl, attr) ->
687 let len = List.length itl in
688 let metasenv,subst,rev_itl,tys =
690 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
691 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
692 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
693 ) (metasenv,subst,[],[]) itl in
694 let metasenv,subst,itl,_ =
696 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
697 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
698 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
699 let metasenv,subst,cl =
701 (fun (k_relev,n,te) (metasenv,subst,res) ->
703 try snd (HExtlib.split_nth leftno k_relev)
704 with Failure _ -> k_relev in
705 let te = NCicTypeChecker.debruijn uri len [] ~subst te in
706 let metasenv, subst, te, _ = check_type metasenv subst tys te in
707 let context,te = NCicReduction.split_prods ~subst tys leftno te in
708 let _,chopped_context_rev =
709 HExtlib.split_nth (List.length tys) (List.rev context) in
710 let sx_context_te_rev,_ =
711 HExtlib.split_nth leftno chopped_context_rev in
712 let metasenv,subst,_ =
715 (fun (metasenv,subst,context) item1 item2 ->
716 let (metasenv,subst),convertible =
718 match item1,item2 with
719 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
721 NCicUnification.unify rdb ~test_eq_only:true metasenv
722 subst context ty1 ty2,true
724 (metasenv,subst),false
725 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
728 NCicUnification.unify rdb ~test_eq_only:true metasenv
729 subst context ty1 ty2
731 NCicUnification.unify rdb ~test_eq_only:true metasenv
732 subst context bo1 bo2,true
734 (metasenv,subst),false
735 | _,_ -> (metasenv,subst),false
737 | NCicUnification.Uncertain _
738 | NCicUnification.UnificationFailure _ ->
739 (metasenv,subst),false
744 | _,C.Def (b,_) -> b in
745 if not convertible then
746 raise (RefineFailure (lazy (localise term2,
747 ("Mismatch between the left parameters of the constructor " ^
748 "and those of its inductive type"))))
750 metasenv,subst,item1::context
751 ) (metasenv,subst,tys) sx_context_ty_rev sx_context_te_rev
752 with Invalid_argument "List.fold_left2" -> assert false in
753 let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in
755 NCicReduction.whd ~subst context con_sort,
756 NCicReduction.whd ~subst [] ty_sort
758 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
759 if not (NCicEnvironment.universe_leq u1 u2) then
762 (lazy(localise te, "The type " ^
763 NCicPp.ppterm ~metasenv ~subst ~context s1 ^
764 " of the constructor is not included in the inductive"^
766 NCicPp.ppterm ~metasenv ~subst ~context s2)))
767 | C.Sort _, C.Sort C.Prop
768 | C.Sort _, C.Sort C.Type _ -> ()
773 "Wrong constructor or inductive arity shape"))));
774 (* let's check also the positivity conditions *)
777 (NCicTypeChecker.are_all_occurrences_positive
778 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
783 "Non positive occurence in " ^
784 NCicPp.ppterm ~metasenv ~subst ~context te)))
786 let relsno = List.length itl + leftno in
788 NCicSubstitution.psubst
793 NCic.Const (NReference.reference_of_spec uri
794 (NReference.Ind (ind,relsno - i,leftno))))
795 (HExtlib.list_seq 1 (relsno+1))
799 (fun (name,decl) te ->
801 NCic.Decl ty -> NCic.Prod (name,ty,te)
802 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
803 ) sx_context_te_rev te
805 metasenv,subst,(k_relev,n,te)::res
806 ) cl (metasenv,subst,[])
808 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
809 ) (metasenv,subst,[],1) rev_itl
811 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
814 (* vim:set foldmethod=marker: *)