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 metasenv context expty =
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)
49 let check_allowed_sort_elimination rdb localise r orig =
52 | C.Appl l -> C.Appl (l @ [arg])
53 | t -> C.Appl [t;arg] in
54 (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
55 let rec aux metasenv subst context ind arity1 arity2 =
56 (*D*)inside 'S'; try let rc =
57 let arity1 = NCicReduction.whd ~subst context arity1 in
58 pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
59 NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
60 NCicPp.ppmetasenv ~subst metasenv));
62 | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
63 let metasenv, _, meta, _ =
64 NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type
67 try NCicUnification.unify rdb metasenv subst context
68 arity2 (C.Prod (name, so1, meta))
69 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
70 "expected %s, found %s" (* XXX localizzare meglio *)
71 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
72 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
74 aux metasenv subst ((name, C.Decl so1)::context)
75 (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta
76 | C.Sort _ (* , t ==?== C.Prod _ *) ->
77 let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in
79 try NCicUnification.unify rdb metasenv subst context
80 arity2 (C.Prod ("_", ind, meta))
81 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
82 "expected %s, found %s" (* XXX localizzare meglio *)
83 (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
84 (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc)
86 (try NCicTypeChecker.check_allowed_sort_elimination
87 ~metasenv ~subst r context ind arity1 arity2;
89 with exc -> raise (wrap_exc (lazy (localise orig,
90 "Sort elimination not allowed ")) exc))
92 (*D*)in outside(); rc with exc -> outside (); raise exc
98 ?(localise=fun _ -> Stdpp.dummy_loc)
99 metasenv subst context term expty
101 let force_ty skip_lambda metasenv subst context orig t infty expty =
102 (*D*)inside 'F'; try let rc =
106 | C.Implicit _ -> assert false
107 | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty
110 (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
111 (NCicPp.ppterm ~metasenv ~subst:[] ~context expty)));
113 let metasenv, subst =
114 NCicUnification.unify rdb metasenv subst context infty expty
116 metasenv, subst, t, expty
118 try_coercions rdb ~localise
119 metasenv subst context t orig infty expty true exc)
120 | None -> metasenv, subst, t, infty
121 (*D*)in outside(); rc with exc -> outside (); raise exc
123 let rec typeof_aux metasenv subst context expty =
125 (*D*)inside 'R'; try let rc =
126 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t));
127 pp (lazy (if expty = None then "NONE" else "SOME"));
128 if (List.exists (fun (i,_) -> i=29) subst) then
129 pp (lazy (NCicPp.ppsubst ~metasenv subst));
130 let metasenv, subst, t, infty =
135 match List.nth context (n - 1) with
136 | (_,C.Decl ty) -> NCicSubstitution.lift n ty
137 | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty
139 raise (RefineFailure (lazy (localise t,"unbound variable"))))
141 metasenv, subst, t, infty
142 | C.Sort (C.Type [false,u]) -> metasenv,subst,t,(C.Sort (C.Type [true, u]))
143 | C.Sort (C.Type _) ->
144 raise (AssertFailure (lazy ("Cannot type an inferred type: "^
145 NCicPp.ppterm ~subst ~metasenv ~context t)))
146 | C.Sort _ -> metasenv,subst,t,(C.Sort (C.Type NCicEnvironment.type0))
147 | C.Implicit infos ->
148 let metasenv,_,t,ty = exp_implicit metasenv context expty infos in
149 metasenv, subst, t, ty
150 | C.Meta (n,l) as t ->
153 let _,_,_,ty = NCicUtils.lookup_subst n subst in ty
154 with NCicUtils.Subst_not_found _ -> try
155 let _,_,ty = NCicUtils.lookup_meta n metasenv in
156 match ty with C.Implicit _ ->
157 prerr_endline (string_of_int n);
158 prerr_endline (NCicPp.ppmetasenv ~subst metasenv);
159 prerr_endline (NCicPp.ppsubst ~metasenv subst);
160 assert false | _ -> ty
161 with NCicUtils.Meta_not_found _ ->
162 raise (AssertFailure (lazy (Printf.sprintf
163 "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
165 metasenv, subst, t, NCicSubstitution.subst_meta l ty
167 metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
168 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
169 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
170 let metasenv, subst, s, s1 =
172 metasenv subst context s orig_s localise s1 in
173 let context1 = (name,(C.Decl s))::context in
174 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
175 let metasenv, subst, t, s2 =
177 metasenv subst context1 t orig_t localise s2 in
178 let metasenv, subst, s, t, ty =
179 sort_of_prod localise metasenv subst
180 context orig_s orig_t (name,s) t (s1,s2)
182 metasenv, subst, NCic.Prod(name,s,t), ty
183 | C.Lambda (n,(s as orig_s),t) as orig ->
184 let exp_s, exp_ty_t, force_after =
186 | None -> None, None, false
188 match NCicReduction.whd ~subst context expty with
189 | C.Prod (_,s,t) -> Some s, Some t, false
190 | _ -> None, None, true
192 let metasenv, subst, s, ty_s =
193 typeof_aux metasenv subst context None s in
194 let metasenv, subst, s, _ =
196 metasenv subst context s orig_s localise ty_s in
197 let (metasenv,subst), exp_ty_t =
200 (try NCicUnification.unify rdb metasenv subst context s exp_s,exp_ty_t
201 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
202 "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv
203 ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context
205 | None -> (metasenv, subst), None
207 let context_for_t = (n,C.Decl s) :: context in
208 let metasenv, subst, t, ty_t =
209 typeof_aux metasenv subst context_for_t exp_ty_t t
212 force_ty false metasenv subst context orig
213 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
215 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
216 | C.LetIn (n,(ty as orig_ty),t,bo) ->
217 let metasenv, subst, ty, ty_ty =
218 typeof_aux metasenv subst context None ty in
219 let metasenv, subst, ty, _ =
221 metasenv subst context ty orig_ty localise ty_ty in
222 let metasenv, subst, t, _ =
223 typeof_aux metasenv subst context (Some ty) t in
224 let context1 = (n, C.Def (t,ty)) :: context in
225 let metasenv, subst, bo, bo_ty =
226 typeof_aux metasenv subst context1 None bo
228 let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
229 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
230 | C.Appl ((he as orig_he)::(_::_ as args)) ->
232 match orig_he with C.Meta _ -> List.length args | _ -> 0
234 let metasenv, subst, he, ty_he =
235 typeof_aux metasenv subst context None he in
236 let metasenv, subst, t, ty =
237 eat_prods rdb ~localise
238 metasenv subst context orig_he he ty_he args
240 let t = if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t in
241 metasenv, subst, t, ty
242 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
243 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
244 outtype,(term as orig_term),pl) as orig ->
245 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in
246 let _, _, arity, cl = List.nth itl tyno in
247 let constructorsno = List.length cl in
248 let _, metasenv, args =
249 NCicMetaSubst.saturate metasenv subst context arity 0 in
250 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
251 let metasenv, subst, term, _ =
252 typeof_aux metasenv subst context (Some ind) term in
253 let parameters, arguments = HExtlib.split_nth leftno args in
256 | C.Implicit _ as ot ->
257 let rec aux = function
258 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
259 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
264 let metasenv, subst, outtype, outsort =
265 typeof_aux metasenv subst context None outtype in
267 (* next lines are to do a subst-expansion of the outtype, so
268 that when it becomes a beta-abstraction, the beta-redex is
269 fired during substitution *)
270 (*CSC: this is instantiate! should we move it from tactics to the
271 refiner? I think so! *)
272 let metasenv,metanoouttype,newouttype,metaoutsort =
273 NCicMetaSubst.mk_meta metasenv context `Term in
275 NCicUnification.unify rdb metasenv subst context outsort metaoutsort in
277 List.filter (function (j,_) -> j <> metanoouttype) metasenv in
279 (metanoouttype,(Some "outtype",context,outtype,metaoutsort))::subst in
280 let outtype = newouttype in
282 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
284 if parameters = [] then C.Const r
285 else C.Appl ((C.Const r)::parameters) in
286 let metasenv, subst, ind, ind_ty =
287 typeof_aux metasenv subst context None ind in
288 let metasenv, subst =
289 check_allowed_sort_elimination rdb localise r orig_term metasenv subst
290 context ind ind_ty outsort
292 (* let's check if the type of branches are right *)
293 if List.length pl <> constructorsno then
294 raise (RefineFailure (lazy (localise orig,
295 "Wrong number of cases in a match")));
297 let metasenv, subst =
299 | None -> metasenv, subst
301 NCicUnification.unify rdb metasenv subst context resty expty
304 let _, metasenv, subst, pl =
306 (fun p (j, metasenv, subst, branches) ->
308 let cons = Ref.mk_constructor j r in
309 if parameters = [] then C.Const cons
310 else C.Appl (C.Const cons::parameters)
312 let metasenv, subst, cons, ty_cons =
313 typeof_aux metasenv subst context None cons in
315 NCicTypeChecker.type_of_branch
316 ~subst context leftno outtype cons ty_cons in
317 pp (lazy ("TYPEOFBRANCH: " ^
318 NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::: " ^
319 NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
320 let metasenv, subst, p, _ =
321 typeof_aux metasenv subst context (Some ty_branch) p in
322 j-1, metasenv, subst, p :: branches)
323 pl (List.length pl, metasenv, subst, [])
325 let resty = C.Appl (outtype::arguments@[term]) in
326 let resty = NCicReduction.head_beta_reduce ~subst resty in
327 metasenv, subst, C.Match (r, outtype, term, pl),resty
328 | C.Match _ -> assert false
330 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " :: "^
331 NCicPp.ppterm ~metasenv ~subst ~context infty ));
332 force_ty true metasenv subst context orig t infty expty
333 (*D*)in outside(); rc with exc -> outside (); raise exc
335 typeof_aux metasenv subst context expty term
337 and try_coercions rdb
339 metasenv subst context t orig_t infty expty perform_unification exc
341 (* we try with a coercion *)
342 let rec first exc = function
344 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
345 "The term %s has type %s but is here used with type %s"
346 (NCicPp.ppterm ~metasenv ~subst ~context t)
347 (NCicPp.ppterm ~metasenv ~subst ~context infty)
348 (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
349 | (metasenv, newterm, newtype, meta)::tl ->
351 pp (lazy ( "UNIFICATION in CTX:\n"^
352 NCicPp.ppcontext ~metasenv ~subst context
354 NCicPp.ppmetasenv metasenv ~subst
356 NCicPp.ppterm ~metasenv ~subst ~context meta ^ " === " ^
357 NCicPp.ppterm ~metasenv ~subst ~context t ^ "\n"));
358 let metasenv, subst =
359 NCicUnification.unify rdb metasenv subst context meta t
361 pp (lazy ( "UNIFICATION in CTX:\n"^
362 NCicPp.ppcontext ~metasenv ~subst context
364 NCicPp.ppmetasenv metasenv ~subst
366 NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^
367 NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n"));
368 let metasenv, subst =
369 if perform_unification then
370 NCicUnification.unify rdb metasenv subst context newtype expty
373 metasenv, subst, newterm, newtype
375 | NCicUnification.UnificationFailure _ -> first exc tl
376 | NCicUnification.Uncertain _ as exc -> first exc tl
379 (NCicCoercion.look_for_coercion rdb metasenv subst context infty expty)
381 and force_to_sort rdb metasenv subst context t orig_t localise ty =
382 match NCicReduction.whd ~subst context ty with
383 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
384 metasenv, subst, t, ty
385 | C.Meta (_i,(_,(C.Irl 0 | C.Ctx []))) -> assert false (*CSC: ???
386 metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) *)
387 | C.Meta (i,(_,lc)) ->
388 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
389 let metasenv, subst, newmeta =
391 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
392 else metasenv, subst, i
394 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
395 | C.Sort _ as ty -> metasenv, subst, t, ty
397 try_coercions rdb ~localise metasenv subst context
398 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
399 (Uncertain (lazy (localise orig_t,
400 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
401 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
404 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
406 (* force to sort is done in the Prod case in typeof *)
408 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
409 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
410 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
411 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
413 | C.Meta _, C.Meta (_,(_,_))
414 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
415 | x, (C.Sort _ | C.Meta _) | _, x ->
416 let y, context, orig =
417 if x == t1 then s, context, orig_s
418 else t, ((name,C.Decl s)::context), orig_t
420 raise (RefineFailure (lazy (localise orig,Printf.sprintf
421 "%s is expected to be a type, but its type is %s that is not a sort"
422 (NCicPp.ppterm ~subst ~metasenv ~context y)
423 (NCicPp.ppterm ~subst ~metasenv ~context x))))
425 and guess_name subst ctx ty =
426 let aux initial = "#" ^ String.make 1 initial in
428 | C.Const (NReference.Ref (u,_))
429 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
430 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
431 | C.Prod _ -> aux 'f'
434 let _,_,t,_ = NCicUtils.lookup_subst n subst in
435 guess_name subst ctx (NCicSubstitution.subst_meta lc t)
436 with NCicUtils.Subst_not_found _ -> aux 'M')
440 ~localise metasenv subst context orig_he he ty_he args
442 (*D*)inside 'E'; try let rc =
443 let rec aux metasenv subst args_so_far he ty_he = function
444 | []->metasenv, subst, NCicUntrusted.mk_appl he (List.rev args_so_far), ty_he
446 match NCicReduction.whd ~subst context ty_he with
448 let metasenv, subst, arg, _ =
450 metasenv subst context arg (Some s) in
451 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
452 aux metasenv subst (arg :: args_so_far) he t tl
454 | C.Appl (C.Meta _ :: _) as t ->
455 let metasenv, subst, arg, ty_arg =
457 metasenv subst context arg None in
458 let name = guess_name subst context ty_arg in
459 let metasenv, _, meta, _ =
460 NCicMetaSubst.mk_meta metasenv
461 ((name,C.Decl ty_arg) :: context) `Type
463 let flex_prod = C.Prod (name, ty_arg, meta) in
464 (* next line grants that ty_args is a type *)
465 let metasenv,subst, flex_prod, _ =
466 typeof rdb ~localise metasenv subst
467 context flex_prod None in
468 pp (lazy ( "UNIFICATION in CTX:\n"^
469 NCicPp.ppcontext ~metasenv ~subst context
471 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
472 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
473 let metasenv, subst =
474 try NCicUnification.unify rdb metasenv subst context t flex_prod
475 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
476 ("The term %s has an inferred type %s, but is applied to the" ^^
477 " argument %s of type %s")
478 (NCicPp.ppterm ~metasenv ~subst ~context he)
479 (NCicPp.ppterm ~metasenv ~subst ~context t)
480 (NCicPp.ppterm ~metasenv ~subst ~context arg)
481 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) exc)
482 (* XXX coerce to funclass *)
484 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
485 aux metasenv subst (arg :: args_so_far) he meta tl
486 | C.Match (_,_,C.Meta _,_)
487 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
488 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
489 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
490 ("The term %s is here applied to %d arguments but expects " ^^
491 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
492 (List.length args) (List.length args_so_far))))
494 let metasenv, subst, newhead, newheadty =
495 try_coercions rdb ~localise metasenv subst context
496 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
497 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
499 (RefineFailure (lazy (localise orig_he, Printf.sprintf
500 ("The term %s is here applied to %d arguments but expects " ^^
501 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
502 (List.length args) (List.length args_so_far))))
504 aux metasenv subst [] newhead newheadty (arg :: tl)
506 (* We need to reverse the order of the new created metas since they
507 are pushed on top of the metasenv in the wrong order *)
508 let highest_meta = NCicMetaSubst.maxmeta () in
509 let metasenv, subst, newhead, newheadty =
510 aux metasenv subst [] he ty_he args in
511 let metasenv_old,metasenv_new =
512 List.partition (fun (i,_) -> i <= highest_meta) metasenv
514 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
515 (*D*)in outside(); rc with exc -> outside (); raise exc
518 let rec first f l1 l2 =
520 | x1::tl1, x2::tl2 ->
521 (try f x1 x2 with Not_found -> first f tl1 tl2)
522 | _ -> raise Not_found
525 let rec find add dt t =
530 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
531 | C.Appl dl,C.Appl l -> dl,l
532 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
533 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
534 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
535 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
536 | _ -> raise Not_found
538 first (find add) dl l
541 let relocalise old_localise dt t add =
543 (try find add dt t with Not_found -> assert false)
546 let undebruijnate inductive ref t rev_fl =
547 NCicSubstitution.psubst (fun x -> x)
548 (List.rev (HExtlib.list_mapi
549 (fun (_,_,rno,_,_,_) i ->
551 (if inductive then NReference.mk_fix i rno ref
552 else NReference.mk_cofix i ref))
559 rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
561 let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *)
562 let metasenv, subst, ty, sort =
563 typeof rdb ~localise metasenv subst context ty None
565 let metasenv, subst, ty, sort =
566 force_to_sort rdb metasenv subst context ty orig_ty localise sort
568 metasenv, subst, ty, sort
571 | C.Constant (relevance, name, bo, ty , attr) ->
572 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
573 let metasenv, subst, bo, ty, height =
576 let metasenv, subst, bo, ty =
577 typeof rdb ~localise metasenv subst [] bo (Some ty) in
578 let height = (* XXX recalculate *) height in
579 metasenv, subst, Some bo, ty, height
580 | None -> metasenv, subst, None, ty, 0
582 uri, height, metasenv, subst,
583 C.Constant (relevance, name, bo, ty, attr)
584 | C.Fixpoint (inductive, fl, attr) ->
585 let len = List.length fl in
586 let types, metasenv, subst, rev_fl =
588 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
589 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
590 let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in
591 let localise = relocalise localise dbo bo in
592 (name,C.Decl ty)::types,
593 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
594 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
596 let metasenv, subst, fl =
598 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
599 let metasenv, subst, dbo, ty =
600 typeof rdb ~localise metasenv subst types dbo (Some ty)
602 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
603 (metasenv, subst, []) rev_fl
605 let height = (* XXX recalculate *) height in
608 (fun (relevance,name,k,ty,dbo) ->
610 undebruijnate inductive
611 (NReference.reference_of_spec uri
612 (if inductive then NReference.Fix (0,k,0)
613 else NReference.CoFix 0)) dbo rev_fl
615 relevance,name,k,ty,bo)
618 uri, height, metasenv, subst,
619 C.Fixpoint (inductive, fl, attr)
620 | C.Inductive (ind, leftno, itl, attr) ->
621 let len = List.length itl in
622 let metasenv,subst,rev_itl,tys =
624 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
625 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
626 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
627 ) (metasenv,subst,[],[]) itl in
628 let metasenv,subst,itl,_ =
630 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
631 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
632 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
633 let metasenv,subst,cl =
635 (fun (k_relev,n,te) (metasenv,subst,res) ->
637 try snd (HExtlib.split_nth leftno k_relev)
638 with Failure _ -> k_relev in
639 let te = NCicTypeChecker.debruijn uri len [] ~subst te in
640 let metasenv, subst, te, _ = check_type metasenv subst tys te in
641 let context,te = NCicReduction.split_prods ~subst tys leftno te in
642 let _,chopped_context_rev =
643 HExtlib.split_nth (List.length tys) (List.rev context) in
644 let sx_context_te_rev,_ =
645 HExtlib.split_nth leftno chopped_context_rev in
646 let metasenv,subst,_ =
649 (fun (metasenv,subst,context) item1 item2 ->
650 let (metasenv,subst),convertible =
652 match item1,item2 with
653 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
655 NCicUnification.unify rdb ~test_eq_only:true metasenv
656 subst context ty1 ty2,true
658 (metasenv,subst),false
659 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
662 NCicUnification.unify rdb ~test_eq_only:true metasenv
663 subst context ty1 ty2
665 NCicUnification.unify rdb ~test_eq_only:true metasenv
666 subst context bo1 bo2,true
668 (metasenv,subst),false
669 | _,_ -> (metasenv,subst),false
671 | NCicUnification.Uncertain _
672 | NCicUnification.UnificationFailure _ ->
673 (metasenv,subst),false
678 | _,C.Def (b,_) -> b in
679 if not convertible then
680 raise (RefineFailure (lazy (localise term2,
681 ("Mismatch between the left parameters of the constructor " ^
682 "and those of its inductive type"))))
684 metasenv,subst,item1::context
685 ) (metasenv,subst,[]) sx_context_ty_rev sx_context_te_rev
686 with Invalid_argument "List.fold_left2" -> assert false in
687 let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in
689 NCicReduction.whd ~subst context con_sort,
690 NCicReduction.whd ~subst [] ty_sort
692 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
693 if not (NCicEnvironment.universe_leq u1 u2) then
696 (lazy(localise te, "The type " ^
697 NCicPp.ppterm ~metasenv ~subst ~context s1 ^
698 " of the constructor is not included in the inductive"^
700 NCicPp.ppterm ~metasenv ~subst ~context s2)))
701 | C.Sort _, C.Sort C.Prop
702 | C.Sort _, C.Sort C.Type _ -> ()
707 "Wrong constructor or inductive arity shape"))));
708 (* let's check also the positivity conditions *)
711 (NCicTypeChecker.are_all_occurrences_positive
712 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
717 "Non positive occurence in " ^
718 NCicPp.ppterm ~metasenv ~subst ~context te)))
720 let relsno = List.length itl + leftno in
722 NCicSubstitution.psubst
727 NCic.Const (NReference.reference_of_spec uri
728 (NReference.Ind (ind,relsno - i,leftno))))
729 (HExtlib.list_seq 1 (relsno+1))
733 (fun (name,decl) te ->
735 NCic.Decl ty -> NCic.Prod (name,ty,te)
736 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
737 ) sx_context_te_rev te
739 metasenv,subst,(k_relev,n,te)::res
740 ) cl (metasenv,subst,[])
742 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
743 ) (metasenv,subst,[],1) rev_itl
745 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
748 (* vim:set foldmethod=marker: *)