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 raise (RefineFailure (lazy (localise t, "A vector of implicit terms " ^
47 "can only be used in argument position")))
51 let check_allowed_sort_elimination rdb localise r orig =
54 | C.Appl l -> C.Appl (l @ [arg])
55 | t -> C.Appl [t;arg] in
56 (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
57 let rec aux metasenv subst context ind arity1 arity2 =
58 (*D*)inside 'S'; try let rc =
59 let arity1 = NCicReduction.whd ~subst context arity1 in
60 pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
61 NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
62 NCicPp.ppmetasenv ~subst metasenv));
64 | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
65 let metasenv, _, meta, _ =
66 NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type
69 try NCicUnification.unify rdb metasenv subst context
70 arity2 (C.Prod (name, so1, meta))
71 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
72 "expected %s, found %s" (* XXX localizzare meglio *)
73 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
74 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
76 aux metasenv subst ((name, C.Decl so1)::context)
77 (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta
78 | C.Sort _ (* , t ==?== C.Prod _ *) ->
79 let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in
81 try NCicUnification.unify rdb metasenv subst context
82 arity2 (C.Prod ("_", ind, meta))
83 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
84 "expected %s, found %s" (* XXX localizzare meglio *)
85 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
86 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
88 (try NCicTypeChecker.check_allowed_sort_elimination
89 ~metasenv ~subst r context ind arity1 arity2;
91 with exc -> raise (wrap_exc (lazy (localise orig,
92 "Sort elimination not allowed ")) exc))
94 (*D*)in outside(); rc with exc -> outside (); raise exc
100 ?(localise=fun _ -> Stdpp.dummy_loc)
101 metasenv subst context term expty
103 let force_ty skip_lambda skip_appl metasenv subst context orig t infty expty =
104 (*D*)inside 'F'; try let rc =
108 | C.Implicit _ -> assert false
109 | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty
110 | C.Appl _ when skip_appl -> metasenv, subst, t, expty
112 pp (lazy ("forcing infty=expty: "^
113 (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
114 (NCicPp.ppterm ~metasenv ~subst:[] ~context expty)));
116 let metasenv, subst =
117 (*D*)inside 'U'; try let rc =
118 NCicUnification.unify rdb metasenv subst context infty expty
119 (*D*)in outside(); rc with exc -> outside (); raise exc
121 metasenv, subst, t, expty
123 | NCicUnification.Uncertain _
124 | NCicUnification.UnificationFailure _ as exc ->
125 try_coercions rdb ~localise
126 metasenv subst context t orig infty expty true exc)
127 | None -> metasenv, subst, t, infty
128 (*D*)in outside(); rc with exc -> outside (); raise exc
130 let rec typeof_aux metasenv subst context expty =
132 (*D*)inside 'R'; try let rc =
133 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::exp:: " ^
134 match expty with None -> "None" | Some e ->
135 NCicPp.ppterm ~metasenv ~subst ~context e));
136 let metasenv, subst, t, infty =
141 match List.nth context (n - 1) with
142 | (_,C.Decl ty) -> NCicSubstitution.lift n ty
143 | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty
145 raise (RefineFailure (lazy (localise t,"unbound variable"))))
147 metasenv, subst, t, infty
148 | C.Sort (C.Type [false,u]) -> metasenv,subst,t,(C.Sort (C.Type [true, u]))
149 | C.Sort (C.Type _) ->
150 raise (AssertFailure (lazy ("Cannot type an inferred type: "^
151 NCicPp.ppterm ~subst ~metasenv ~context t)))
152 | C.Sort _ -> metasenv,subst,t,(C.Sort (C.Type NCicEnvironment.type0))
153 | C.Implicit infos ->
154 let metasenv,_,t,ty =
155 exp_implicit ~localise metasenv context expty t infos
157 metasenv, subst, t, ty
158 | C.Meta (n,l) as t ->
161 let _,_,_,ty = NCicUtils.lookup_subst n subst in ty
162 with NCicUtils.Subst_not_found _ -> try
163 let _,_,ty = NCicUtils.lookup_meta n metasenv in
164 match ty with C.Implicit _ ->
165 prerr_endline (string_of_int n);
166 prerr_endline (NCicPp.ppmetasenv ~subst metasenv);
167 prerr_endline (NCicPp.ppsubst ~metasenv subst);
168 assert false | _ -> ty
169 with NCicUtils.Meta_not_found _ ->
170 raise (AssertFailure (lazy (Printf.sprintf
171 "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
173 metasenv, subst, t, NCicSubstitution.subst_meta l ty
175 metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
176 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
177 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
178 let metasenv, subst, s, s1 =
180 metasenv subst context s orig_s localise s1 in
181 let context1 = (name,(C.Decl s))::context in
182 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
183 let metasenv, subst, t, s2 =
185 metasenv subst context1 t orig_t localise s2 in
186 let metasenv, subst, s, t, ty =
187 sort_of_prod localise metasenv subst
188 context orig_s orig_t (name,s) t (s1,s2)
190 metasenv, subst, NCic.Prod(name,s,t), ty
191 | C.Lambda (n,(s as orig_s),t) as orig ->
192 let exp_s, exp_ty_t, force_after =
194 | None -> None, None, false
196 match NCicReduction.whd ~subst context expty with
197 | C.Prod (_,s,t) -> Some s, Some t, false
198 | _ -> None, None, true
200 let metasenv, subst, s, ty_s =
201 typeof_aux metasenv subst context None s in
202 let metasenv, subst, s, _ =
204 metasenv subst context s orig_s localise ty_s in
205 let (metasenv,subst), exp_ty_t =
209 pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst
211 NCicUnification.unify rdb metasenv subst context s exp_s,exp_ty_t
212 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
213 "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv
214 ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context
216 | None -> (metasenv, subst), None
218 let context_for_t = (n,C.Decl s) :: context in
219 let metasenv, subst, t, ty_t =
220 typeof_aux metasenv subst context_for_t exp_ty_t t
223 force_ty false true metasenv subst context orig
224 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
226 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
227 | C.LetIn (n,(ty as orig_ty),t,bo) ->
228 let metasenv, subst, ty, ty_ty =
229 typeof_aux metasenv subst context None ty in
230 let metasenv, subst, ty, _ =
232 metasenv subst context ty orig_ty localise ty_ty in
233 let metasenv, subst, t, _ =
234 typeof_aux metasenv subst context (Some ty) t in
235 let context1 = (n, C.Def (t,ty)) :: context in
236 let metasenv, subst, expty1 =
238 | None -> metasenv, subst, None
241 NCicUnification.delift_term_wrt_terms
242 rdb metasenv subst context x [t]
246 let metasenv, subst, bo, bo_ty =
247 typeof_aux metasenv subst context1 expty1 bo
249 let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
250 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
251 | C.Appl ((he as orig_he)::(_::_ as args)) ->
252 let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in
254 if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t
257 let metasenv, subst, he, ty_he =
258 typeof_aux metasenv subst context None he in
259 let metasenv, subst, t, ty =
260 eat_prods rdb ~localise force_ty metasenv subst context expty t
261 orig_he he ty_he args in
262 metasenv, subst, hbr t, ty
264 if args = [C.Implicit `Vector] && expty <> None then
265 (* we try here to expand the vector a 0 implicits, but we use
266 * the expected type *)
268 let metasenv, subst, he, ty_he =
269 typeof_aux metasenv subst context expty he in
270 metasenv, subst, hbr he, ty_he
271 with Uncertain _ | RefineFailure _ -> refine_appl ()
273 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
274 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
275 outtype,(term as orig_term),pl) as orig ->
276 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in
277 let _, _, arity, cl = List.nth itl tyno in
278 let constructorsno = List.length cl in
279 let _, metasenv, args =
280 NCicMetaSubst.saturate metasenv subst context arity 0 in
281 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
282 let metasenv, subst, term, _ =
283 typeof_aux metasenv subst context (Some ind) term in
284 let parameters, arguments = HExtlib.split_nth leftno args in
287 | C.Implicit _ as ot ->
288 let rec aux = function
289 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
290 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
295 let metasenv, subst, outtype, outsort =
296 typeof_aux metasenv subst context None outtype in
298 (* next lines are to do a subst-expansion of the outtype, so
299 that when it becomes a beta-abstraction, the beta-redex is
300 fired during substitution *)
301 (*CSC: this is instantiate! should we move it from tactics to the
302 refiner? I think so! *)
303 let metasenv,metanoouttype,newouttype,metaoutsort =
304 NCicMetaSubst.mk_meta metasenv context `Term in
306 NCicUnification.unify rdb metasenv subst context outsort metaoutsort in
308 List.filter (function (j,_) -> j <> metanoouttype) metasenv in
310 (metanoouttype,(Some "outtype",context,outtype,metaoutsort))::subst in
311 let outtype = newouttype in
313 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
315 if parameters = [] then C.Const r
316 else C.Appl ((C.Const r)::parameters) in
317 let metasenv, subst, ind, ind_ty =
318 typeof_aux metasenv subst context None ind in
319 let metasenv, subst =
320 check_allowed_sort_elimination rdb localise r orig_term metasenv subst
321 context ind ind_ty outsort
323 (* let's check if the type of branches are right *)
324 if List.length pl <> constructorsno then
325 raise (RefineFailure (lazy (localise orig,
326 "Wrong number of cases in a match")));
328 let metasenv, subst =
330 | None -> metasenv, subst
332 NCicUnification.unify rdb metasenv subst context resty expty
335 let _, metasenv, subst, pl =
337 (fun p (j, metasenv, subst, branches) ->
339 let cons = Ref.mk_constructor j r in
340 if parameters = [] then C.Const cons
341 else C.Appl (C.Const cons::parameters)
343 let metasenv, subst, cons, ty_cons =
344 typeof_aux metasenv subst context None cons in
346 NCicTypeChecker.type_of_branch
347 ~subst context leftno outtype cons ty_cons in
348 pp (lazy ("TYPEOFBRANCH: " ^
349 NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::inf:: " ^
350 NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
351 let metasenv, subst, p, _ =
352 typeof_aux metasenv subst context (Some ty_branch) p in
353 j-1, metasenv, subst, p :: branches)
354 pl (List.length pl, metasenv, subst, [])
356 let resty = C.Appl (outtype::arguments@[term]) in
357 let resty = NCicReduction.head_beta_reduce ~subst resty in
358 metasenv, subst, C.Match (r, outtype, term, pl),resty
359 | C.Match _ -> assert false
361 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::inf:: "^
362 NCicPp.ppterm ~metasenv ~subst ~context infty ));
363 force_ty true true metasenv subst context orig t infty expty
364 (*D*)in outside(); rc with exc -> outside (); raise exc
366 typeof_aux metasenv subst context expty term
368 and try_coercions rdb
370 metasenv subst context t orig_t infty expty perform_unification exc
372 (* we try with a coercion *)
373 let rec first exc = function
375 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
376 "The term %s has type %s but is here used with type %s"
377 (NCicPp.ppterm ~metasenv ~subst ~context t)
378 (NCicPp.ppterm ~metasenv ~subst ~context infty)
379 (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
380 | (_,metasenv, newterm, newtype, meta)::tl ->
382 pp (lazy ( "UNIFICATION in CTX:\n"^
383 NCicPp.ppcontext ~metasenv ~subst context
385 NCicPp.ppmetasenv metasenv ~subst
387 NCicPp.ppterm ~metasenv ~subst ~context meta ^ " === " ^
388 NCicPp.ppterm ~metasenv ~subst ~context t ^ "\n"));
389 let metasenv, subst =
390 NCicUnification.unify rdb metasenv subst context meta t
392 pp (lazy ( "UNIFICATION in CTX:\n"^
393 NCicPp.ppcontext ~metasenv ~subst context
395 NCicPp.ppmetasenv metasenv ~subst
397 NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^
398 NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n"));
399 let metasenv, subst =
400 if perform_unification then
401 NCicUnification.unify rdb metasenv subst context newtype expty
404 metasenv, subst, newterm, newtype
406 | NCicUnification.UnificationFailure _ -> first exc tl
407 | NCicUnification.Uncertain _ as exc -> first exc tl
409 pp(lazy("try_coercion " ^
410 NCicPp.ppterm ~metasenv ~subst ~context infty ^ " |---> " ^
411 NCicPp.ppterm ~metasenv ~subst ~context expty));
413 (NCicCoercion.look_for_coercion
414 rdb metasenv subst context infty expty)
416 and force_to_sort rdb metasenv subst context t orig_t localise ty =
417 match NCicReduction.whd ~subst context ty with
418 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
419 metasenv, subst, t, ty
420 | C.Meta (_i,(_,(C.Irl 0 | C.Ctx []))) -> assert false (*CSC: ???
421 metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) *)
422 | C.Meta (i,(_,lc)) ->
423 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
424 let metasenv, subst, newmeta =
426 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
427 else metasenv, subst, i
429 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
430 | C.Sort _ as ty -> metasenv, subst, t, ty
432 try_coercions rdb ~localise metasenv subst context
433 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
434 (Uncertain (lazy (localise orig_t,
435 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
436 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
439 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
441 (* force to sort is done in the Prod case in typeof *)
443 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
444 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
445 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
446 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
448 | C.Meta _, C.Meta (_,(_,_))
449 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
450 | x, (C.Sort _ | C.Meta _) | _, x ->
451 let y, context, orig =
452 if x == t1 then s, context, orig_s
453 else t, ((name,C.Decl s)::context), orig_t
455 raise (RefineFailure (lazy (localise orig,Printf.sprintf
456 "%s is expected to be a type, but its type is %s that is not a sort"
457 (NCicPp.ppterm ~subst ~metasenv ~context y)
458 (NCicPp.ppterm ~subst ~metasenv ~context x))))
460 and guess_name subst ctx ty =
461 let aux initial = "#" ^ String.make 1 initial in
463 | C.Const (NReference.Ref (u,_))
464 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
465 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
466 | C.Prod _ -> aux 'f'
469 let _,_,t,_ = NCicUtils.lookup_subst n subst in
470 guess_name subst ctx (NCicSubstitution.subst_meta lc t)
471 with NCicUtils.Subst_not_found _ -> aux 'M')
474 and eat_prods rdb ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args =
475 (*D*)inside 'E'; try let rc =
476 let rec aux metasenv subst args_so_far he ty_he = function
478 let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in
479 pp(lazy("FORCE FINAL APPL: " ^
480 NCicPp.ppterm ~metasenv ~subst ~context res ^
481 " of type " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_he
482 ^ " to type " ^ match expty with None -> "None" | Some x ->
483 NCicPp.ppterm ~metasenv ~subst ~context x));
484 (* whatever the term is, we force the type. in case of ((Lambda..) ?...)
485 * the application may also be a lambda! *)
486 force_ty false false metasenv subst context orig_t res ty_he expty
487 | NCic.Implicit `Vector::tl ->
488 let has_some_more_pis x =
489 match NCicReduction.whd ~subst context x with
490 | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false
494 aux metasenv subst args_so_far he ty_he tl
497 | RefineFailure _ as exc when has_some_more_pis ty_he ->
499 aux metasenv subst args_so_far he ty_he
500 (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl)
502 Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc)))
504 match NCicReduction.whd ~subst context ty_he with
506 let metasenv, subst, arg, _ =
508 metasenv subst context arg (Some s) in
509 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
510 aux metasenv subst (arg :: args_so_far) he t tl
512 | C.Appl (C.Meta _ :: _) as t ->
513 let metasenv, subst, arg, ty_arg =
515 metasenv subst context arg None in
516 let name = guess_name subst context ty_arg in
517 let metasenv, _, meta, _ =
518 NCicMetaSubst.mk_meta metasenv
519 ((name,C.Decl ty_arg) :: context) `Type
521 let flex_prod = C.Prod (name, ty_arg, meta) in
522 (* next line grants that ty_args is a type *)
523 let metasenv,subst, flex_prod, _ =
524 typeof rdb ~localise metasenv subst
525 context flex_prod None in
527 pp (lazy ( "UNIFICATION in CTX:\n"^
528 NCicPp.ppcontext ~metasenv ~subst context
530 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
531 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
533 let metasenv, subst =
534 try NCicUnification.unify rdb metasenv subst context t flex_prod
535 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
536 ("The term %s has an inferred type %s, but is applied to the" ^^
537 " argument %s of type %s")
538 (NCicPp.ppterm ~metasenv ~subst ~context he)
539 (NCicPp.ppterm ~metasenv ~subst ~context t)
540 (NCicPp.ppterm ~metasenv ~subst ~context arg)
541 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg)))
543 | NCicUnification.UnificationFailure m ->
544 NCicUnification.Uncertain m
546 (* XXX coerce to funclass *)
548 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
549 aux metasenv subst (arg :: args_so_far) he meta tl
550 | C.Match (_,_,C.Meta _,_)
551 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
552 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
553 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
554 ("The term %s is here applied to %d arguments but expects " ^^
555 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
556 (List.length args) (List.length args_so_far))))
558 let metasenv, subst, newhead, newheadty =
559 try_coercions rdb ~localise metasenv subst context
560 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
561 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
563 (RefineFailure (lazy (localise orig_he, Printf.sprintf
564 ("The term %s is here applied to %d arguments but expects " ^^
565 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
566 (List.length args) (List.length args_so_far))))
568 aux metasenv subst [] newhead newheadty (arg :: tl)
570 (* We need to reverse the order of the new created metas since they
571 are pushed on top of the metasenv in the wrong order *)
572 let highest_meta = NCicMetaSubst.maxmeta () in
573 let metasenv, subst, newhead, newheadty =
574 aux metasenv subst [] he ty_he args in
575 let metasenv_old,metasenv_new =
576 List.partition (fun (i,_) -> i <= highest_meta) metasenv
578 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
579 (*D*)in outside(); rc with exc -> outside (); raise exc
582 let rec first f l1 l2 =
584 | x1::tl1, x2::tl2 ->
585 (try f x1 x2 with Not_found -> first f tl1 tl2)
586 | _ -> raise Not_found
589 let rec find add dt t =
594 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
595 | C.Appl dl,C.Appl l -> dl,l
596 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
597 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
598 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
599 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
600 | _ -> raise Not_found
602 first (find add) dl l
605 let relocalise old_localise dt t add =
607 (try find add dt t with Not_found -> assert false)
610 let undebruijnate inductive ref t rev_fl =
611 NCicSubstitution.psubst (fun x -> x)
612 (List.rev (HExtlib.list_mapi
613 (fun (_,_,rno,_,_,_) i ->
615 (if inductive then NReference.mk_fix i rno ref
616 else NReference.mk_cofix i ref))
623 rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
625 let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *)
626 let metasenv, subst, ty, sort =
627 typeof rdb ~localise metasenv subst context ty None
629 let metasenv, subst, ty, sort =
630 force_to_sort rdb metasenv subst context ty orig_ty localise sort
632 metasenv, subst, ty, sort
635 | C.Constant (relevance, name, bo, ty , attr) ->
636 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
637 let metasenv, subst, bo, ty, height =
640 let metasenv, subst, bo, ty =
641 typeof rdb ~localise metasenv subst [] bo (Some ty) in
642 let height = (* XXX recalculate *) height in
643 metasenv, subst, Some bo, ty, height
644 | None -> metasenv, subst, None, ty, 0
646 uri, height, metasenv, subst,
647 C.Constant (relevance, name, bo, ty, attr)
648 | C.Fixpoint (inductive, fl, attr) ->
649 let len = List.length fl in
650 let types, metasenv, subst, rev_fl =
652 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
653 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
654 let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in
655 let localise = relocalise localise dbo bo in
656 (name,C.Decl ty)::types,
657 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
658 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
660 let metasenv, subst, fl =
662 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
663 let metasenv, subst, dbo, ty =
664 typeof rdb ~localise metasenv subst types dbo (Some ty)
666 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
667 (metasenv, subst, []) rev_fl
669 let height = (* XXX recalculate *) height in
672 (fun (relevance,name,k,ty,dbo) ->
674 undebruijnate inductive
675 (NReference.reference_of_spec uri
676 (if inductive then NReference.Fix (0,k,0)
677 else NReference.CoFix 0)) dbo rev_fl
679 relevance,name,k,ty,bo)
682 uri, height, metasenv, subst,
683 C.Fixpoint (inductive, fl, attr)
684 | C.Inductive (ind, leftno, itl, attr) ->
685 let len = List.length itl in
686 let metasenv,subst,rev_itl,tys =
688 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
689 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
690 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
691 ) (metasenv,subst,[],[]) itl in
692 let metasenv,subst,itl,_ =
694 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
695 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
696 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
697 let metasenv,subst,cl =
699 (fun (k_relev,n,te) (metasenv,subst,res) ->
701 try snd (HExtlib.split_nth leftno k_relev)
702 with Failure _ -> k_relev in
703 let te = NCicTypeChecker.debruijn uri len [] ~subst te in
704 let metasenv, subst, te, _ = check_type metasenv subst tys te in
705 let context,te = NCicReduction.split_prods ~subst tys leftno te in
706 let _,chopped_context_rev =
707 HExtlib.split_nth (List.length tys) (List.rev context) in
708 let sx_context_te_rev,_ =
709 HExtlib.split_nth leftno chopped_context_rev in
710 let metasenv,subst,_ =
713 (fun (metasenv,subst,context) item1 item2 ->
714 let (metasenv,subst),convertible =
716 match item1,item2 with
717 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
719 NCicUnification.unify rdb ~test_eq_only:true metasenv
720 subst context ty1 ty2,true
722 (metasenv,subst),false
723 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
726 NCicUnification.unify rdb ~test_eq_only:true metasenv
727 subst context ty1 ty2
729 NCicUnification.unify rdb ~test_eq_only:true metasenv
730 subst context bo1 bo2,true
732 (metasenv,subst),false
733 | _,_ -> (metasenv,subst),false
735 | NCicUnification.Uncertain _
736 | NCicUnification.UnificationFailure _ ->
737 (metasenv,subst),false
742 | _,C.Def (b,_) -> b in
743 if not convertible then
744 raise (RefineFailure (lazy (localise term2,
745 ("Mismatch between the left parameters of the constructor " ^
746 "and those of its inductive type"))))
748 metasenv,subst,item1::context
749 ) (metasenv,subst,[]) sx_context_ty_rev sx_context_te_rev
750 with Invalid_argument "List.fold_left2" -> assert false in
751 let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in
753 NCicReduction.whd ~subst context con_sort,
754 NCicReduction.whd ~subst [] ty_sort
756 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
757 if not (NCicEnvironment.universe_leq u1 u2) then
760 (lazy(localise te, "The type " ^
761 NCicPp.ppterm ~metasenv ~subst ~context s1 ^
762 " of the constructor is not included in the inductive"^
764 NCicPp.ppterm ~metasenv ~subst ~context s2)))
765 | C.Sort _, C.Sort C.Prop
766 | C.Sort _, C.Sort C.Type _ -> ()
771 "Wrong constructor or inductive arity shape"))));
772 (* let's check also the positivity conditions *)
775 (NCicTypeChecker.are_all_occurrences_positive
776 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
781 "Non positive occurence in " ^
782 NCicPp.ppterm ~metasenv ~subst ~context te)))
784 let relsno = List.length itl + leftno in
786 NCicSubstitution.psubst
791 NCic.Const (NReference.reference_of_spec uri
792 (NReference.Ind (ind,relsno - i,leftno))))
793 (HExtlib.list_seq 1 (relsno+1))
797 (fun (name,decl) te ->
799 NCic.Decl ty -> NCic.Prod (name,ty,te)
800 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
801 ) sx_context_te_rev te
803 metasenv,subst,(k_relev,n,te)::res
804 ) cl (metasenv,subst,[])
806 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
807 ) (metasenv,subst,[],1) rev_itl
809 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
812 NCicUnification.set_refiner_typeof typeof;;
814 (* vim:set foldmethod=marker: *)