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
113 (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^
114 (NCicPp.ppterm ~metasenv ~subst:[] ~context expty)));
116 let metasenv, subst =
117 NCicUnification.unify rdb metasenv subst context infty expty
119 metasenv, subst, t, expty
121 try_coercions rdb ~localise
122 metasenv subst context t orig infty expty true exc)
123 | None -> metasenv, subst, t, infty
124 (*D*)in outside(); rc with exc -> outside (); raise exc
126 let rec typeof_aux metasenv subst context expty =
128 (*D*)inside 'R'; try let rc =
129 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t));
130 pp (lazy (if expty = None then "NONE" else "SOME"));
131 if (List.exists (fun (i,_) -> i=29) subst) then
132 pp (lazy (NCicPp.ppsubst ~metasenv subst));
133 let metasenv, subst, t, infty =
138 match List.nth context (n - 1) with
139 | (_,C.Decl ty) -> NCicSubstitution.lift n ty
140 | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty
142 raise (RefineFailure (lazy (localise t,"unbound variable"))))
144 metasenv, subst, t, infty
145 | C.Sort (C.Type [false,u]) -> metasenv,subst,t,(C.Sort (C.Type [true, u]))
146 | C.Sort (C.Type _) ->
147 raise (AssertFailure (lazy ("Cannot type an inferred type: "^
148 NCicPp.ppterm ~subst ~metasenv ~context t)))
149 | C.Sort _ -> metasenv,subst,t,(C.Sort (C.Type NCicEnvironment.type0))
150 | C.Implicit infos ->
151 let metasenv,_,t,ty =
152 exp_implicit ~localise metasenv context expty t infos
154 metasenv, subst, t, ty
155 | C.Meta (n,l) as t ->
158 let _,_,_,ty = NCicUtils.lookup_subst n subst in ty
159 with NCicUtils.Subst_not_found _ -> try
160 let _,_,ty = NCicUtils.lookup_meta n metasenv in
161 match ty with C.Implicit _ ->
162 prerr_endline (string_of_int n);
163 prerr_endline (NCicPp.ppmetasenv ~subst metasenv);
164 prerr_endline (NCicPp.ppsubst ~metasenv subst);
165 assert false | _ -> ty
166 with NCicUtils.Meta_not_found _ ->
167 raise (AssertFailure (lazy (Printf.sprintf
168 "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
170 metasenv, subst, t, NCicSubstitution.subst_meta l ty
172 metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t
173 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
174 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
175 let metasenv, subst, s, s1 =
177 metasenv subst context s orig_s localise s1 in
178 let context1 = (name,(C.Decl s))::context in
179 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
180 let metasenv, subst, t, s2 =
182 metasenv subst context1 t orig_t localise s2 in
183 let metasenv, subst, s, t, ty =
184 sort_of_prod localise metasenv subst
185 context orig_s orig_t (name,s) t (s1,s2)
187 metasenv, subst, NCic.Prod(name,s,t), ty
188 | C.Lambda (n,(s as orig_s),t) as orig ->
189 let exp_s, exp_ty_t, force_after =
191 | None -> None, None, false
193 match NCicReduction.whd ~subst context expty with
194 | C.Prod (_,s,t) -> Some s, Some t, false
195 | _ -> None, None, true
197 let metasenv, subst, s, ty_s =
198 typeof_aux metasenv subst context None s in
199 let metasenv, subst, s, _ =
201 metasenv subst context s orig_s localise ty_s in
202 let (metasenv,subst), exp_ty_t =
205 (try NCicUnification.unify rdb metasenv subst context s exp_s,exp_ty_t
206 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
207 "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv
208 ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context
210 | None -> (metasenv, subst), None
212 let context_for_t = (n,C.Decl s) :: context in
213 let metasenv, subst, t, ty_t =
214 typeof_aux metasenv subst context_for_t exp_ty_t t
217 force_ty false true metasenv subst context orig
218 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
220 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
221 | C.LetIn (n,(ty as orig_ty),t,bo) ->
222 let metasenv, subst, ty, ty_ty =
223 typeof_aux metasenv subst context None ty in
224 let metasenv, subst, ty, _ =
226 metasenv subst context ty orig_ty localise ty_ty in
227 let metasenv, subst, t, _ =
228 typeof_aux metasenv subst context (Some ty) t in
229 let context1 = (n, C.Def (t,ty)) :: context in
230 let metasenv, subst, bo, bo_ty =
231 typeof_aux metasenv subst context1 None bo
233 let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in
234 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
235 | C.Appl ((he as orig_he)::(_::_ as args)) ->
236 let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in
237 let metasenv, subst, he, ty_he =
238 typeof_aux metasenv subst context None he in
239 let metasenv, subst, t, ty =
240 eat_prods rdb ~localise force_ty metasenv subst context expty t
241 orig_he he ty_he args in
242 let t = if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t in
243 metasenv, subst, t, ty
244 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
245 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
246 outtype,(term as orig_term),pl) as orig ->
247 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in
248 let _, _, arity, cl = List.nth itl tyno in
249 let constructorsno = List.length cl in
250 let _, metasenv, args =
251 NCicMetaSubst.saturate metasenv subst context arity 0 in
252 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
253 let metasenv, subst, term, _ =
254 typeof_aux metasenv subst context (Some ind) term in
255 let parameters, arguments = HExtlib.split_nth leftno args in
258 | C.Implicit _ as ot ->
259 let rec aux = function
260 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
261 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
266 let metasenv, subst, outtype, outsort =
267 typeof_aux metasenv subst context None outtype in
269 (* next lines are to do a subst-expansion of the outtype, so
270 that when it becomes a beta-abstraction, the beta-redex is
271 fired during substitution *)
272 (*CSC: this is instantiate! should we move it from tactics to the
273 refiner? I think so! *)
274 let metasenv,metanoouttype,newouttype,metaoutsort =
275 NCicMetaSubst.mk_meta metasenv context `Term in
277 NCicUnification.unify rdb metasenv subst context outsort metaoutsort in
279 List.filter (function (j,_) -> j <> metanoouttype) metasenv in
281 (metanoouttype,(Some "outtype",context,outtype,metaoutsort))::subst in
282 let outtype = newouttype in
284 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
286 if parameters = [] then C.Const r
287 else C.Appl ((C.Const r)::parameters) in
288 let metasenv, subst, ind, ind_ty =
289 typeof_aux metasenv subst context None ind in
290 let metasenv, subst =
291 check_allowed_sort_elimination rdb localise r orig_term metasenv subst
292 context ind ind_ty outsort
294 (* let's check if the type of branches are right *)
295 if List.length pl <> constructorsno then
296 raise (RefineFailure (lazy (localise orig,
297 "Wrong number of cases in a match")));
299 let metasenv, subst =
301 | None -> metasenv, subst
303 NCicUnification.unify rdb metasenv subst context resty expty
306 let _, metasenv, subst, pl =
308 (fun p (j, metasenv, subst, branches) ->
310 let cons = Ref.mk_constructor j r in
311 if parameters = [] then C.Const cons
312 else C.Appl (C.Const cons::parameters)
314 let metasenv, subst, cons, ty_cons =
315 typeof_aux metasenv subst context None cons in
317 NCicTypeChecker.type_of_branch
318 ~subst context leftno outtype cons ty_cons in
319 pp (lazy ("TYPEOFBRANCH: " ^
320 NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::: " ^
321 NCicPp.ppterm ~metasenv ~subst ~context ty_branch ));
322 let metasenv, subst, p, _ =
323 typeof_aux metasenv subst context (Some ty_branch) p in
324 j-1, metasenv, subst, p :: branches)
325 pl (List.length pl, metasenv, subst, [])
327 let resty = C.Appl (outtype::arguments@[term]) in
328 let resty = NCicReduction.head_beta_reduce ~subst resty in
329 metasenv, subst, C.Match (r, outtype, term, pl),resty
330 | C.Match _ -> assert false
332 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " :: "^
333 NCicPp.ppterm ~metasenv ~subst ~context infty ));
334 force_ty true true metasenv subst context orig t infty expty
335 (*D*)in outside(); rc with exc -> outside (); raise exc
337 typeof_aux metasenv subst context expty term
339 and try_coercions rdb
341 metasenv subst context t orig_t infty expty perform_unification exc
343 (* we try with a coercion *)
344 let rec first exc = function
346 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
347 "The term %s has type %s but is here used with type %s"
348 (NCicPp.ppterm ~metasenv ~subst ~context t)
349 (NCicPp.ppterm ~metasenv ~subst ~context infty)
350 (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc)
351 | (metasenv, newterm, newtype, meta)::tl ->
353 pp (lazy ( "UNIFICATION in CTX:\n"^
354 NCicPp.ppcontext ~metasenv ~subst context
356 NCicPp.ppmetasenv metasenv ~subst
358 NCicPp.ppterm ~metasenv ~subst ~context meta ^ " === " ^
359 NCicPp.ppterm ~metasenv ~subst ~context t ^ "\n"));
360 let metasenv, subst =
361 NCicUnification.unify rdb metasenv subst context meta t
363 pp (lazy ( "UNIFICATION in CTX:\n"^
364 NCicPp.ppcontext ~metasenv ~subst context
366 NCicPp.ppmetasenv metasenv ~subst
368 NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^
369 NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n"));
370 let metasenv, subst =
371 if perform_unification then
372 NCicUnification.unify rdb metasenv subst context newtype expty
375 metasenv, subst, newterm, newtype
377 | NCicUnification.UnificationFailure _ -> first exc tl
378 | NCicUnification.Uncertain _ as exc -> first exc tl
381 (NCicCoercion.look_for_coercion
382 rdb metasenv subst context infty expty)
384 and force_to_sort rdb metasenv subst context t orig_t localise ty =
385 match NCicReduction.whd ~subst context ty with
386 | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty ->
387 metasenv, subst, t, ty
388 | C.Meta (_i,(_,(C.Irl 0 | C.Ctx []))) -> assert false (*CSC: ???
389 metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) *)
390 | C.Meta (i,(_,lc)) ->
391 let len = match lc with C.Irl len->len | C.Ctx l->List.length l in
392 let metasenv, subst, newmeta =
394 NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1))
395 else metasenv, subst, i
397 metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0))
398 | C.Sort _ as ty -> metasenv, subst, t, ty
400 try_coercions rdb ~localise metasenv subst context
401 t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false
402 (Uncertain (lazy (localise orig_t,
403 "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t
404 ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty)))
407 localise metasenv subst context orig_s orig_t (name,s) t (t1, t2)
409 (* force to sort is done in the Prod case in typeof *)
411 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
412 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
413 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
414 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
416 | C.Meta _, C.Meta (_,(_,_))
417 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
418 | x, (C.Sort _ | C.Meta _) | _, x ->
419 let y, context, orig =
420 if x == t1 then s, context, orig_s
421 else t, ((name,C.Decl s)::context), orig_t
423 raise (RefineFailure (lazy (localise orig,Printf.sprintf
424 "%s is expected to be a type, but its type is %s that is not a sort"
425 (NCicPp.ppterm ~subst ~metasenv ~context y)
426 (NCicPp.ppterm ~subst ~metasenv ~context x))))
428 and guess_name subst ctx ty =
429 let aux initial = "#" ^ String.make 1 initial in
431 | C.Const (NReference.Ref (u,_))
432 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
433 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
434 | C.Prod _ -> aux 'f'
437 let _,_,t,_ = NCicUtils.lookup_subst n subst in
438 guess_name subst ctx (NCicSubstitution.subst_meta lc t)
439 with NCicUtils.Subst_not_found _ -> aux 'M')
442 and eat_prods rdb ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args =
443 (*D*)inside 'E'; try let rc =
444 let rec aux metasenv subst args_so_far he ty_he = function
446 let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in
447 force_ty true false metasenv subst context orig_t res ty_he expty
448 | NCic.Implicit `Vector::tl ->
449 let has_some_more_pis x =
450 match NCicReduction.whd ~subst context x with
451 | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false
455 aux metasenv subst args_so_far he ty_he tl
458 | RefineFailure _ as exc when has_some_more_pis ty_he ->
460 aux metasenv subst args_so_far he ty_he
461 (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl)
463 Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc)))
465 match NCicReduction.whd ~subst context ty_he with
467 let metasenv, subst, arg, _ =
469 metasenv subst context arg (Some s) in
470 let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in
471 aux metasenv subst (arg :: args_so_far) he t tl
473 | C.Appl (C.Meta _ :: _) as t ->
474 let metasenv, subst, arg, ty_arg =
476 metasenv subst context arg None in
477 let name = guess_name subst context ty_arg in
478 let metasenv, _, meta, _ =
479 NCicMetaSubst.mk_meta metasenv
480 ((name,C.Decl ty_arg) :: context) `Type
482 let flex_prod = C.Prod (name, ty_arg, meta) in
483 (* next line grants that ty_args is a type *)
484 let metasenv,subst, flex_prod, _ =
485 typeof rdb ~localise metasenv subst
486 context flex_prod None in
487 pp (lazy ( "UNIFICATION in CTX:\n"^
488 NCicPp.ppcontext ~metasenv ~subst context
490 NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^
491 NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
492 let metasenv, subst =
493 try NCicUnification.unify rdb metasenv subst context t flex_prod
494 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
495 ("The term %s has an inferred type %s, but is applied to the" ^^
496 " argument %s of type %s")
497 (NCicPp.ppterm ~metasenv ~subst ~context he)
498 (NCicPp.ppterm ~metasenv ~subst ~context t)
499 (NCicPp.ppterm ~metasenv ~subst ~context arg)
500 (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) exc)
501 (* XXX coerce to funclass *)
503 let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in
504 aux metasenv subst (arg :: args_so_far) he meta tl
505 | C.Match (_,_,C.Meta _,_)
506 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
507 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
508 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
509 ("The term %s is here applied to %d arguments but expects " ^^
510 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
511 (List.length args) (List.length args_so_far))))
513 let metasenv, subst, newhead, newheadty =
514 try_coercions rdb ~localise metasenv subst context
515 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
516 (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term))
518 (RefineFailure (lazy (localise orig_he, Printf.sprintf
519 ("The term %s is here applied to %d arguments but expects " ^^
520 "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he)
521 (List.length args) (List.length args_so_far))))
523 aux metasenv subst [] newhead newheadty (arg :: tl)
525 (* We need to reverse the order of the new created metas since they
526 are pushed on top of the metasenv in the wrong order *)
527 let highest_meta = NCicMetaSubst.maxmeta () in
528 let metasenv, subst, newhead, newheadty =
529 aux metasenv subst [] he ty_he args in
530 let metasenv_old,metasenv_new =
531 List.partition (fun (i,_) -> i <= highest_meta) metasenv
533 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
534 (*D*)in outside(); rc with exc -> outside (); raise exc
537 let rec first f l1 l2 =
539 | x1::tl1, x2::tl2 ->
540 (try f x1 x2 with Not_found -> first f tl1 tl2)
541 | _ -> raise Not_found
544 let rec find add dt t =
549 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
550 | C.Appl dl,C.Appl l -> dl,l
551 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
552 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
553 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
554 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
555 | _ -> raise Not_found
557 first (find add) dl l
560 let relocalise old_localise dt t add =
562 (try find add dt t with Not_found -> assert false)
565 let undebruijnate inductive ref t rev_fl =
566 NCicSubstitution.psubst (fun x -> x)
567 (List.rev (HExtlib.list_mapi
568 (fun (_,_,rno,_,_,_) i ->
570 (if inductive then NReference.mk_fix i rno ref
571 else NReference.mk_cofix i ref))
578 rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
580 let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *)
581 let metasenv, subst, ty, sort =
582 typeof rdb ~localise metasenv subst context ty None
584 let metasenv, subst, ty, sort =
585 force_to_sort rdb metasenv subst context ty orig_ty localise sort
587 metasenv, subst, ty, sort
590 | C.Constant (relevance, name, bo, ty , attr) ->
591 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
592 let metasenv, subst, bo, ty, height =
595 let metasenv, subst, bo, ty =
596 typeof rdb ~localise metasenv subst [] bo (Some ty) in
597 let height = (* XXX recalculate *) height in
598 metasenv, subst, Some bo, ty, height
599 | None -> metasenv, subst, None, ty, 0
601 uri, height, metasenv, subst,
602 C.Constant (relevance, name, bo, ty, attr)
603 | C.Fixpoint (inductive, fl, attr) ->
604 let len = List.length fl in
605 let types, metasenv, subst, rev_fl =
607 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
608 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
609 let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in
610 let localise = relocalise localise dbo bo in
611 (name,C.Decl ty)::types,
612 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
613 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
615 let metasenv, subst, fl =
617 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
618 let metasenv, subst, dbo, ty =
619 typeof rdb ~localise metasenv subst types dbo (Some ty)
621 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
622 (metasenv, subst, []) rev_fl
624 let height = (* XXX recalculate *) height in
627 (fun (relevance,name,k,ty,dbo) ->
629 undebruijnate inductive
630 (NReference.reference_of_spec uri
631 (if inductive then NReference.Fix (0,k,0)
632 else NReference.CoFix 0)) dbo rev_fl
634 relevance,name,k,ty,bo)
637 uri, height, metasenv, subst,
638 C.Fixpoint (inductive, fl, attr)
639 | C.Inductive (ind, leftno, itl, attr) ->
640 let len = List.length itl in
641 let metasenv,subst,rev_itl,tys =
643 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
644 let metasenv, subst, ty, _ = check_type metasenv subst [] ty in
645 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
646 ) (metasenv,subst,[],[]) itl in
647 let metasenv,subst,itl,_ =
649 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
650 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
651 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
652 let metasenv,subst,cl =
654 (fun (k_relev,n,te) (metasenv,subst,res) ->
656 try snd (HExtlib.split_nth leftno k_relev)
657 with Failure _ -> k_relev in
658 let te = NCicTypeChecker.debruijn uri len [] ~subst te in
659 let metasenv, subst, te, _ = check_type metasenv subst tys te in
660 let context,te = NCicReduction.split_prods ~subst tys leftno te in
661 let _,chopped_context_rev =
662 HExtlib.split_nth (List.length tys) (List.rev context) in
663 let sx_context_te_rev,_ =
664 HExtlib.split_nth leftno chopped_context_rev in
665 let metasenv,subst,_ =
668 (fun (metasenv,subst,context) item1 item2 ->
669 let (metasenv,subst),convertible =
671 match item1,item2 with
672 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
674 NCicUnification.unify rdb ~test_eq_only:true metasenv
675 subst context ty1 ty2,true
677 (metasenv,subst),false
678 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
681 NCicUnification.unify rdb ~test_eq_only:true metasenv
682 subst context ty1 ty2
684 NCicUnification.unify rdb ~test_eq_only:true metasenv
685 subst context bo1 bo2,true
687 (metasenv,subst),false
688 | _,_ -> (metasenv,subst),false
690 | NCicUnification.Uncertain _
691 | NCicUnification.UnificationFailure _ ->
692 (metasenv,subst),false
697 | _,C.Def (b,_) -> b in
698 if not convertible then
699 raise (RefineFailure (lazy (localise term2,
700 ("Mismatch between the left parameters of the constructor " ^
701 "and those of its inductive type"))))
703 metasenv,subst,item1::context
704 ) (metasenv,subst,[]) sx_context_ty_rev sx_context_te_rev
705 with Invalid_argument "List.fold_left2" -> assert false in
706 let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in
708 NCicReduction.whd ~subst context con_sort,
709 NCicReduction.whd ~subst [] ty_sort
711 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
712 if not (NCicEnvironment.universe_leq u1 u2) then
715 (lazy(localise te, "The type " ^
716 NCicPp.ppterm ~metasenv ~subst ~context s1 ^
717 " of the constructor is not included in the inductive"^
719 NCicPp.ppterm ~metasenv ~subst ~context s2)))
720 | C.Sort _, C.Sort C.Prop
721 | C.Sort _, C.Sort C.Type _ -> ()
726 "Wrong constructor or inductive arity shape"))));
727 (* let's check also the positivity conditions *)
730 (NCicTypeChecker.are_all_occurrences_positive
731 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
736 "Non positive occurence in " ^
737 NCicPp.ppterm ~metasenv ~subst ~context te)))
739 let relsno = List.length itl + leftno in
741 NCicSubstitution.psubst
746 NCic.Const (NReference.reference_of_spec uri
747 (NReference.Ind (ind,relsno - i,leftno))))
748 (HExtlib.list_seq 1 (relsno+1))
752 (fun (name,decl) te ->
754 NCic.Decl ty -> NCic.Prod (name,ty,te)
755 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
756 ) sx_context_te_rev te
758 metasenv,subst,(k_relev,n,te)::res
759 ) cl (metasenv,subst,[])
761 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
762 ) (metasenv,subst,[],1) rev_itl
764 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
767 NCicUnification.set_refiner_typeof typeof;;
769 (* vim:set foldmethod=marker: *)