1 (* Copyright (C) 2005, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
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14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://helm.cs.unibo.it/
26 (* $Id: cicCoercion.ml 7077 2006-12-05 15:44:54Z fguidi $ *)
29 let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
31 (* given the new coercion uri from src to tgt returns the list
32 * of new coercions to create. hte list elements are
33 * (source, list of coercions to follow, target)
35 let get_closure_coercions src tgt uri coercions =
40 | CoercDb.EqCarrNotImplemented _ | CoercDb.EqCarrOnNonMetaClosed -> false
43 | CoercDb.Uri _, CoercDb.Uri _ ->
46 (fun (f,t,_) -> eq_carr f tgt (*&& not (eq_carr t src)*))
51 (fun (f,t,_) -> eq_carr t src (*&& not (eq_carr f tgt)*))
55 (fun (_,t,ul) -> List.map (fun u -> src,[uri; u],t) ul) c_from_tgt) @
57 (fun (s,_,ul) -> List.map (fun u -> s,[u; uri],tgt) ul) c_to_src) @
65 (fun u2 -> (s,[u1;uri;u2],t))
70 | _ -> [] (* do not close in case source or target is not an indty ?? *)
73 let obj_attrs n = [`Class (`Coercion n); `Generated]
75 exception UnableToCompose
77 (* generate_composite (c2 (c1 s)) in the universe graph univ
78 * both living in the same context and metasenv *)
79 let generate_composite c1 c2 context metasenv univ arity last_lam_with_inn_arg =
80 let module RT = RefinementTool in
81 let c1_ty,univ = CicTypeChecker.type_of_aux' metasenv context c1 univ in
82 let c2_ty,univ = CicTypeChecker.type_of_aux' metasenv context c2 univ in
83 let rec mk_implicits = function
84 | 0 -> [] | n -> (Cic.Implicit None) :: mk_implicits (n-1)
86 let rec mk_lambda_spline c namer = function
92 mk_lambda_spline (CicSubstitution.lift 1 c) namer (n-1))
94 let count_saturations_needed t arity =
95 let rec aux acc n = function
96 | Cic.Prod (name,src, ((Cic.Prod _) as t)) ->
97 aux (acc@[name]) (n+1) t
100 let len,names = aux [] 0 t in
101 let len = len - arity in
103 (fun (n,l) x -> if n < len then n+1,l@[x] else n,l) (0,[])
106 let compose c1 nc1 c2 nc2 =
108 (Cic.Name "x", (Cic.Implicit None),
109 (Cic.Appl ( CicSubstitution.lift 1 c2 :: mk_implicits nc2 @
110 [ Cic.Appl ( CicSubstitution.lift 1 c1 :: mk_implicits nc1 @
111 [if last_lam_with_inn_arg then Cic.Rel 1 else Cic.Implicit None])
115 let order_metasenv metasenv =
116 let module OT = struct type t = int let compare = Pervasives.compare end in
117 let module S = HTopoSort.Make (OT) in
119 let _,_,ty = List.find (fun (j,_,_) -> j=i) metasenv in
120 let metas = List.map fst (CicUtil.metas_of_term ty) in
121 HExtlib.list_uniq (List.sort Pervasives.compare metas)
124 S.topological_sort (List.map (fun (i,_,_) -> i) metasenv) dep
126 List.map (fun i -> List.find (fun (j,_,_) -> i=j) metasenv) om
129 let rec create_subst_from_metas_to_rels n = function
131 | (metano, ctx, ty)::tl ->
132 (metano,(ctx,Cic.Rel (n+1),ty)) ::
133 create_subst_from_metas_to_rels (n-1) tl
135 let split_metasenv metasenv n =
136 List.partition (fun (_,ctx,_) -> List.length ctx > n) metasenv
138 let purge_unused_lambdas metasenv t =
139 let rec aux = function
140 | Cic.Lambda (_, Cic.Meta (i,_), t) when
141 List.exists (fun (j,_,_) -> j = i) metasenv ->
142 aux (CicSubstitution.subst (Cic.Rel ~-100) t)
143 | Cic.Lambda (name, s, t) ->
144 Cic.Lambda (name, s, aux t)
149 let order_body_menv term body_metasenv =
150 let rec purge_lambdas = function
151 | Cic.Lambda (_,_,t) -> purge_lambdas t
154 let skip_appl = function | Cic.Appl l -> List.tl l | _ -> assert false in
155 let metas_that_saturate l =
158 let metas = CicUtil.metas_of_term t in
159 let metas = List.map fst metas in
162 (fun i -> List.for_all (fun (j,_) -> j<>i) acc)
165 let metas = List.map (fun i -> i,n) metas in
169 let l_c2 = skip_appl (purge_lambdas term) in
171 match HExtlib.list_last l_c2 with
172 | Cic.Appl l -> List.tl l
175 (* i should cut off the laet elem of l_c2 *)
176 let meta2no = fst (metas_that_saturate (l_c1 @ l_c2)) in
178 (fun (i,ctx1,ty1) (j,ctx1,ty1) ->
179 try List.assoc i meta2no - List.assoc j meta2no
185 let l = List.map (function Cic.Name s -> s | _ -> "A") l in
186 let l = List.fold_left
189 if List.exists ((=) s) acc then add' (s^"'") else s
194 let l = List.rev l in
195 Cic.Name (List.nth l (n-1))
197 debug_print (lazy ("\nCOMPOSING"));
198 debug_print (lazy (" c1= "^CicPp.ppterm c1 ^" : "^ CicPp.ppterm c1_ty));
199 debug_print (lazy (" c2= "^CicPp.ppterm c2 ^" : "^ CicPp.ppterm c2_ty));
200 let saturations_for_c1, names_c1 = count_saturations_needed c1_ty 0 in
201 let saturations_for_c2, names_c2 = count_saturations_needed c2_ty arity in
202 let c = compose c1 saturations_for_c1 c2 saturations_for_c2 in
203 let spline_len = saturations_for_c1 + saturations_for_c2 in
204 let c = mk_lambda_spline c (namer (names_c1 @ names_c2)) spline_len in
205 debug_print (lazy ("COMPOSTA: " ^ CicPp.ppterm c));
206 let c, metasenv, univ =
208 let term, ty, metasenv, ugraph =
209 CicRefine.type_of_aux' metasenv context c univ
211 debug_print(lazy("COMPOSED REFINED: "^CicPp.ppterm term));
212 (* let metasenv = order_metasenv metasenv in *)
213 (* debug_print(lazy("ORDERED MENV: "^CicMetaSubst.ppmetasenv [] metasenv)); *)
214 let body_metasenv, lambdas_metasenv =
215 split_metasenv metasenv (spline_len + List.length context)
217 debug_print(lazy("B_MENV: "^CicMetaSubst.ppmetasenv [] body_metasenv));
218 debug_print(lazy("L_MENV: "^CicMetaSubst.ppmetasenv [] lambdas_metasenv));
219 let body_metasenv = order_body_menv term body_metasenv in
220 debug_print(lazy("ORDERED_B_MENV: "^CicMetaSubst.ppmetasenv [] body_metasenv));
221 let subst = create_subst_from_metas_to_rels spline_len body_metasenv in
222 debug_print (lazy("SUBST: "^CicMetaSubst.ppsubst body_metasenv subst));
223 let term = CicMetaSubst.apply_subst subst term in
224 debug_print (lazy ("COMPOSED SUBSTITUTED: " ^ CicPp.ppterm term));
225 let term, ty, metasenv, ugraph =
226 CicRefine.type_of_aux' metasenv context term ugraph
228 let body_metasenv, lambdas_metasenv =
229 split_metasenv metasenv (spline_len + List.length context)
231 let term = purge_unused_lambdas lambdas_metasenv term in
232 debug_print (lazy ("COMPOSED: " ^ CicPp.ppterm term));
233 debug_print(lazy("MENV: "^CicMetaSubst.ppmetasenv [] metasenv));
234 term, metasenv, ugraph
236 | CicRefine.RefineFailure s
237 | CicRefine.Uncertain s -> debug_print s;
238 raise UnableToCompose
243 let build_obj c univ arity =
246 CicTypeChecker.type_of_aux' [] [] c univ
247 with CicTypeChecker.TypeCheckerFailure s ->
248 debug_print (lazy (Printf.sprintf "Generated composite coercion:\n%s\n%s"
249 (CicPp.ppterm c) (Lazy.force s)));
250 raise UnableToCompose
253 FreshNamesGenerator.clean_dummy_dependent_types c_ty
255 let obj = Cic.Constant ("xxxx",Some c,cleaned_ty,[],obj_attrs arity) in
259 (* removes from l the coercions that are in !coercions *)
260 let filter_duplicates l coercions =
263 not (List.exists (fun (s,t,l2) ->
264 CoercDb.eq_carr s src &&
265 CoercDb.eq_carr t tgt &&
267 List.for_all2 (fun u1 u2 -> UriManager.eq u1 u2) l1 l2
269 | Invalid_argument "List.for_all2" -> false)
275 (fun s x -> s ^ "_" ^ x)
276 (s ^ "_OF_" ^ t ^ "_BY" ^ string_of_int (List.length l)) l*)
280 exception ManglingFailed of string
282 let number_if_already_defined buri name l =
286 ("Unable to give an altenative name to " ^ buri ^ "/" ^ name ^ ".con"))
289 let suffix = if n > 0 then string_of_int n else "" in
290 let suri = buri ^ "/" ^ name ^ suffix ^ ".con" in
291 let uri = UriManager.uri_of_string suri in
295 HLog.warn ("Uri " ^ suri ^ " already exists.");
301 if List.exists (UriManager.eq uri) l then retry ()
304 let _ = Http_getter.resolve' ~writable:true uri in
305 if Http_getter.exists' uri then retry () else uri
307 | Http_getter_types.Key_not_found _ -> uri
308 | Http_getter_types.Unresolvable_URI _ -> assert false
313 (* given a new coercion uri from src to tgt returns
314 * a list of (new coercion uri, coercion obj, universe graph)
316 let close_coercion_graph src tgt uri baseuri =
317 (* check if the coercion already exists *)
318 let coercions = CoercDb.to_list () in
319 let todo_list = get_closure_coercions src tgt uri coercions in
320 let todo_list = filter_duplicates todo_list coercions in
324 (fun acc (src, l , tgt) ->
329 let arity = match tgt with CoercDb.Fun n -> n | _ -> 0 in
332 Some (CoercDb.term_of_carr (CoercDb.Uri he)),
333 Cic.Sort Cic.Prop, [], obj_attrs arity)
336 List.fold_left (fun (o,univ) coer ->
338 | Cic.Constant (_,Some c,_,[],_) ->
341 (CoercDb.term_of_carr (CoercDb.Uri coer))
342 [] [] univ arity true
345 build_obj t univ arity
347 ) (first_step, CicUniv.empty_ugraph) tl
349 let name_src = CoercDb.name_of_carr src in
350 let name_tgt = CoercDb.name_of_carr tgt in
351 let by = List.map UriManager.name_of_uri l in
352 let name = mangle name_tgt name_src by in
354 number_if_already_defined baseuri name
355 (List.map (fun (_,_,u,_) -> u) acc)
359 | Cic.Constant (_,bo,ty,vl,attrs) ->
360 Cic.Constant (name,bo,ty,vl,attrs)
363 (src,tgt,c_uri,named_obj))::acc
364 with UnableToCompose -> acc
368 with ManglingFailed s -> HLog.error s; []
371 CicCoercion.set_close_coercion_graph close_coercion_graph;;