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 hdb 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 hdb 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 hdb 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 ~look_for_coercion 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 hdb metasenv subst context infty expty
116 metasenv, subst, t, expty
118 try_coercions hdb ~look_for_coercion ~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 =
171 force_to_sort hdb ~look_for_coercion
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 =
176 force_to_sort hdb ~look_for_coercion
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, _ =
195 force_to_sort hdb ~look_for_coercion
196 metasenv subst context s orig_s localise ty_s in
197 let (metasenv,subst), exp_ty_t =
200 (try NCicUnification.unify hdb 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, _ =
220 force_to_sort hdb ~look_for_coercion
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 hdb ~localise ~look_for_coercion
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 hdb 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 hdb 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 hdb metasenv subst context resty expty
304 let _, metasenv, subst, pl_rev =
306 (fun (j, metasenv, subst, branches) p ->
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 (1, metasenv, subst, []) pl
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, List.rev pl_rev),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 hdb
338 ~localise ~look_for_coercion
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 hdb 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 hdb 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 (look_for_coercion metasenv subst context infty expty)
381 and force_to_sort hdb
382 ~look_for_coercion metasenv subst context t orig_t localise ty
384 match NCicReduction.whd ~subst context ty with
385 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
386 metasenv, subst, t, ty
387 | C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) ->
388 metasenv, subst, t, C.Meta(i,(0,C.Irl 0))
389 | C.Meta (i,(_,lc)) ->
390 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
391 let metasenv, subst, newmeta =
393 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
394 else metasenv, subst, i
396 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
397 | C.Sort _ as ty -> metasenv, subst, t, ty
399 try_coercions hdb ~localise ~look_for_coercion metasenv subst context
400 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
401 (Uncertain (lazy (localise orig_t,
402 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
403 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
406 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
408 (* force to sort is done in the Prod case in typeof *)
410 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
411 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
412 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
413 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
415 | C.Meta _, C.Meta (_,(_,_))
416 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
417 | x, (C.Sort _ | C.Meta _) | _, x ->
418 let y, context, orig =
419 if x == t1 then s, context, orig_s
420 else t, ((name,C.Decl s)::context), orig_t
422 raise (RefineFailure (lazy (localise orig,Printf.sprintf
423 "%s is expected to be a type, but its type is %s that is not a sort"
424 (NCicPp.ppterm ~subst ~metasenv ~context y)
425 (NCicPp.ppterm ~subst ~metasenv ~context x))))
428 ~localise ~look_for_coercion metasenv subst context orig_he he ty_he args
430 (*D*)inside 'E'; try let rc =
431 let rec aux metasenv subst args_so_far he ty_he = function
432 | []->metasenv, subst, NCicUntrusted.mk_appl he (List.rev args_so_far), ty_he
434 match NCicReduction.whd ~subst context ty_he with
436 let metasenv, subst, arg, _ =
437 typeof hdb ~look_for_coercion ~localise
438 metasenv subst context arg (Some s) in
439 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
440 aux metasenv subst (arg :: args_so_far) he t tl
442 | C.Appl (C.Meta _ :: _) as t ->
443 let metasenv, subst, arg, ty_arg =
444 typeof hdb ~look_for_coercion ~localise
445 metasenv subst context arg None in
446 let metasenv, _, meta, _ =
447 NCicMetaSubst.mk_meta metasenv
448 (("_",C.Decl ty_arg) :: context) `Type
450 let flex_prod = C.Prod ("_", ty_arg, meta) in
451 (* next line grants that ty_args is a type *)
452 let metasenv,subst, flex_prod, _ =
453 typeof hdb ~look_for_coercion ~localise metasenv subst
454 context flex_prod None in
455 pp (lazy ( "UNIFICATION in CTX:\n"^
456 NCicPp.ppcontext ~metasenv ~subst context
458 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
459 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
460 let metasenv, subst =
461 try NCicUnification.unify hdb metasenv subst context t flex_prod
462 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
463 ("The term %s has an inferred type %s, but is applied to the" ^^
464 " argument %s of type %s")
465 (NCicPp.ppterm ~metasenv ~subst ~context he)
466 (NCicPp.ppterm ~metasenv ~subst ~context t)
467 (NCicPp.ppterm ~metasenv ~subst ~context arg)
468 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) exc)
469 (* XXX coerce to funclass *)
471 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
472 aux metasenv subst (arg :: args_so_far) he meta tl
473 | C.Match (_,_,C.Meta _,_)
474 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
475 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
476 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
477 ("The term %s is here applied to %d arguments but expects " ^^
478 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
479 (List.length args) (List.length args_so_far))))
481 let metasenv, subst, newhead, newheadty =
482 try_coercions hdb ~localise ~look_for_coercion metasenv subst context
483 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
484 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
486 (RefineFailure (lazy (localise orig_he, Printf.sprintf
487 ("The term %s is here applied to %d arguments but expects " ^^
488 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
489 (List.length args) (List.length args_so_far))))
491 aux metasenv subst [] newhead newheadty (arg :: tl)
493 aux metasenv subst [] he ty_he args
494 (*D*)in outside(); rc with exc -> outside (); raise exc
497 let rec first f l1 l2 =
499 | x1::tl1, x2::tl2 ->
500 (try f x1 x2 with Not_found -> first f tl1 tl2)
501 | _ -> raise Not_found
504 let rec find add dt t =
509 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
510 | C.Appl dl,C.Appl l -> dl,l
511 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
512 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
513 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
514 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
515 | _ -> raise Not_found
517 first (find add) dl l
520 let relocalise old_localise dt t add =
522 (try find add dt t with Not_found -> assert false)
525 let undebruijnate inductive ref t rev_fl =
526 NCicSubstitution.psubst (fun x -> x)
528 (fun (_,_,rno,_,_,_) i ->
530 (if inductive then NReference.mk_fix i rno ref
531 else NReference.mk_cofix i ref))
538 ?(localise=fun _ -> Stdpp.dummy_loc)
539 ~look_for_coercion (uri,height,metasenv,subst, obj)
541 let check_type metasenv subst (ty as orig_ty) = (* XXX fattorizza *)
542 let metasenv, subst, ty, sort =
543 typeof hdb ~localise ~look_for_coercion metasenv subst [] ty None
545 let metasenv, subst, ty, _ =
546 force_to_sort hdb ~look_for_coercion
547 metasenv subst [] ty orig_ty localise sort
552 | C.Constant (relevance, name, bo, ty , attr) ->
553 let metasenv, subst, ty = check_type metasenv subst ty in
554 let metasenv, subst, bo, ty, height =
557 let metasenv, subst, bo, ty =
558 typeof hdb ~localise ~look_for_coercion
559 metasenv subst [] bo (Some ty)
561 let height = (* XXX recalculate *) height in
562 metasenv, subst, Some bo, ty, height
563 | None -> metasenv, subst, None, ty, 0
565 uri, height, metasenv, subst,
566 C.Constant (relevance, name, bo, ty, attr)
567 | C.Fixpoint (inductive, fl, attr) ->
568 let len = List.length fl in
569 let types, metasenv, subst, rev_fl =
571 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
572 let metasenv, subst, ty = check_type metasenv subst ty in
573 let dbo = NCicTypeChecker.debruijn uri len [] bo in
574 let localise = relocalise localise dbo bo in
575 (name,C.Decl ty)::types,
576 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
577 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
579 let metasenv, subst, fl =
581 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
582 let metasenv, subst, dbo, ty =
583 typeof hdb ~localise ~look_for_coercion
584 metasenv subst types dbo (Some ty)
586 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
587 (metasenv, subst, []) rev_fl
589 let height = (* XXX recalculate *) height in
592 (fun (relevance,name,k,ty,dbo) ->
594 undebruijnate inductive
595 (NReference.reference_of_spec uri
596 (if inductive then NReference.Fix (0,k,0)
597 else NReference.CoFix 0)) dbo rev_fl
599 relevance,name,k,ty,bo)
602 uri, height, metasenv, subst,
603 C.Fixpoint (inductive, fl, attr)
605 | C.Inductive (_ind, _leftno, _itl, _attr) -> assert false
607 (* let's check if the arity of the inductive types are well formed *)
608 List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl;
609 (* let's check if the types of the inductive constructors are well formed. *)
610 let len = List.length tyl in
611 let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in
614 (fun (it_relev,_,ty,cl) i ->
615 let context,ty_sort = split_prods ~subst [] ~-1 ty in
616 let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in
618 (fun (k_relev,_,te) ->
619 let _,k_relev = HExtlib.split_nth leftno k_relev in
620 let te = debruijn uri len [] te in
621 let context,te = split_prods ~subst tys leftno te in
622 let _,chopped_context_rev =
623 HExtlib.split_nth (List.length tys) (List.rev context) in
624 let sx_context_te_rev,_ =
625 HExtlib.split_nth leftno chopped_context_rev in
627 ignore (List.fold_left2
628 (fun context item1 item2 ->
630 match item1,item2 with
631 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
633 R.are_convertible ~metasenv ~subst context ty1 ty2
634 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
636 && R.are_convertible ~metasenv ~subst context ty1 ty2
637 && R.are_convertible ~metasenv ~subst context bo1 bo2
640 if not convertible then
641 raise (TypeCheckerFailure (lazy
642 ("Mismatch between the left parameters of the constructor " ^
643 "and those of its inductive type")))
646 ) [] sx_context_ty_rev sx_context_te_rev)
647 with Invalid_argument "List.fold_left2" -> assert false);
648 let con_sort = typeof ~subst ~metasenv context te in
649 (match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with
650 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
651 if not (E.universe_leq u1 u2) then
654 (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^
655 " of the constructor is not included in the inductive" ^
656 " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2)))
657 | C.Sort _, C.Sort C.Prop
658 | C.Sort _, C.Sort C.Type _ -> ()
662 (lazy ("Wrong constructor or inductive arity shape"))));
663 (* let's check also the positivity conditions *)
666 (are_all_occurrences_positive ~subst context uri leftno
667 (i+leftno) leftno (len+leftno) te)
671 (lazy ("Non positive occurence in "^NUri.string_of_uri
673 else check_relevance ~subst ~metasenv context k_relev te)
675 check_relevance ~subst ~metasenv [] it_relev ty;
685 (* vim:set foldmethod=marker: *)