1 (* Copyright (C) 2000, 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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15 * GNU General Public License for more details.
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19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://cs.unibo.it/helm/.
26 (* $Id: cicPp.ml 7413 2007-05-29 15:30:53Z tassi $ *)
28 exception CicExportationInternalError;;
29 exception NotEnoughElements;;
31 (* Utility functions *)
33 let analyze_term context t =
34 match fst(CicTypeChecker.type_of_aux' [] context t CicUniv.oblivion_ugraph)with
38 fst (CicTypeChecker.type_of_aux' [] context ty CicUniv.oblivion_ugraph)
40 Cic.Sort Cic.Prop -> `Proof
44 let analyze_type context t =
48 | Cic.Prod (_,_,t) -> aux t
55 fst(CicTypeChecker.type_of_aux' [] context t CicUniv.oblivion_ugraph)
57 Cic.Sort Cic.Prop -> `Statement
71 let n = String.uncapitalize n in
72 if List.mem n reserved then n ^ "_" else n
78 | Cic.Anonymous -> "_"
81 (* get_nth l n returns the nth element of the list l if it exists or *)
82 (* raises NotEnoughElements if l has less than n elements *)
86 | (n, he::tail) when n > 1 -> get_nth tail (n-1)
87 | (_,_) -> raise NotEnoughElements
90 let qualified_name_of_uri current_module_uri ?(capitalize=false) uri =
93 String.capitalize (UriManager.name_of_uri uri)
95 ppid (UriManager.name_of_uri uri) in
97 let suri = UriManager.buri_of_uri uri in
98 let s = String.sub suri 5 (String.length suri - 5) in
99 let s = Pcre.replace ~pat:"/" ~templ:"_" s in
100 String.uncapitalize s in
101 if current_module_uri = UriManager.buri_of_uri uri then
104 String.capitalize filename ^ "." ^ name
107 let pp current_module_uri ?metasenv ~in_type =
108 let rec pp ~in_type t context =
109 let module C = Cic in
114 (match get_nth context n with
115 Some (C.Name s,_) -> ppid s
116 | Some (C.Anonymous,_) -> "__" ^ string_of_int n
117 | None -> "_hidden_" ^ string_of_int n
120 NotEnoughElements -> string_of_int (List.length context - n)
122 | C.Var (uri,exp_named_subst) ->
123 qualified_name_of_uri current_module_uri uri ^
124 pp_exp_named_subst exp_named_subst context
128 "?" ^ (string_of_int n) ^ "[" ^
133 | Some t -> pp ~in_type:false t context) l1) ^
137 let _,context,_ = CicUtil.lookup_meta n metasenv in
138 "?" ^ (string_of_int n) ^ "[" ^
146 | Some _, Some t -> pp ~in_type:false t context
150 CicUtil.Meta_not_found _
151 | Invalid_argument _ ->
152 "???" ^ (string_of_int n) ^ "[" ^
154 (List.rev_map (function None -> "_" | Some t ->
155 pp ~in_type:false t context) l1) ^
163 (*| C.Type u -> ("Type" ^ CicUniv.string_of_universe u)*)
166 | C.Implicit (Some `Hole) -> "%"
167 | C.Implicit _ -> "?"
171 let n = "'" ^ String.uncapitalize n in
172 "(" ^ pp ~in_type:true s context ^ " -> " ^
173 pp ~in_type:true t ((Some (Cic.Name n,Cic.Decl s))::context) ^ ")"
175 "(" ^ pp ~in_type:true s context ^ " -> " ^
176 pp ~in_type:true t ((Some (b,Cic.Decl s))::context) ^ ")")
177 | C.Cast (v,t) -> pp ~in_type v context
178 | C.Lambda (b,s,t) ->
179 (match analyze_type context s with
181 | `Statement -> pp ~in_type t ((Some (b,Cic.Decl s))::context)
183 "(function " ^ ppname b ^ " -> " ^
184 pp ~in_type t ((Some (b,Cic.Decl s))::context) ^ ")")
186 let ty,_ = CicTypeChecker.type_of_aux' [] context s CicUniv.oblivion_ugraph in
187 "(let " ^ ppname b ^ " = " ^ pp ~in_type:false s context ^ " in " ^
188 pp ~in_type t ((Some (b,Cic.Def (s,Some ty)))::context) ^ ")"
189 | C.Appl (C.MutInd _ as he::tl) ->
190 let hes = pp ~in_type he context in
191 let stl = String.concat "," (clean_args_for_ty context tl) in
192 (if stl = "" then "" else "(" ^ stl ^ ") ") ^ hes
193 | C.Appl (C.MutConstruct (uri,n,_,_) as he::tl) ->
195 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
196 C.InductiveDefinition (_,_,nparams,_) -> nparams
197 | _ -> assert false in
198 let hes = pp ~in_type he context in
199 let stl = String.concat "," (clean_args nparams context tl) in
200 "(" ^ hes ^ (if stl = "" then "" else "(" ^ stl ^ ")") ^ ")"
202 "(" ^ String.concat " " (clean_args 0 context li) ^ ")"
203 | C.Const (uri,exp_named_subst) ->
204 qualified_name_of_uri current_module_uri uri ^
205 pp_exp_named_subst exp_named_subst context
206 | C.MutInd (uri,n,exp_named_subst) ->
208 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
209 C.InductiveDefinition (dl,_,_,_) ->
210 let (name,_,_,_) = get_nth dl (n+1) in
211 qualified_name_of_uri current_module_uri
212 (UriManager.uri_of_string
213 (UriManager.buri_of_uri uri ^ "/" ^ name ^ ".con")) ^
214 pp_exp_named_subst exp_named_subst context
215 | _ -> raise CicExportationInternalError
217 Sys.Break as exn -> raise exn
218 | _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n + 1)
220 | C.MutConstruct (uri,n1,n2,exp_named_subst) ->
222 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
223 C.InductiveDefinition (dl,_,_,_) ->
224 let _,_,_,cons = get_nth dl (n1+1) in
225 let id,_ = get_nth cons n2 in
226 qualified_name_of_uri current_module_uri ~capitalize:true
227 (UriManager.uri_of_string
228 (UriManager.buri_of_uri uri ^ "/" ^ id ^ ".con")) ^
229 pp_exp_named_subst exp_named_subst context
230 | _ -> raise CicExportationInternalError
232 Sys.Break as exn -> raise exn
234 UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n1 + 1) ^ "/" ^
237 | C.MutCase (uri,n1,ty,te,patterns) ->
239 "unit (* TOO POLYMORPHIC TYPE *)"
241 let needs_obj_magic =
242 (* BUG HERE: we should consider also the right parameters *)
243 match CicReduction.whd context ty with
244 Cic.Lambda (_,_,t) -> not (DoubleTypeInference.does_not_occur 1 t)
245 | _ -> false (* it can be a Rel, e.g. in *_rec *)
247 (match analyze_term context te with
248 `Type -> assert false
251 [] -> "assert false" (* empty type elimination *)
253 pp ~in_type:false he context (* singleton elimination *)
256 if patterns = [] then "assert false"
258 (let connames_and_argsno =
259 (match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
260 C.InductiveDefinition (dl,_,paramsno,_) ->
261 let (_,_,_,cons) = get_nth dl (n1+1) in
264 (* this is just an approximation since we do not have
266 let rec count_prods toskip =
268 C.Prod (_,_,bo) when toskip > 0 ->
269 count_prods (toskip - 1) bo
270 | C.Prod (_,_,bo) -> 1 + count_prods 0 bo
273 qualified_name_of_uri current_module_uri
275 (UriManager.uri_of_string
276 (UriManager.buri_of_uri uri ^ "/" ^ id ^ ".con")),
277 count_prods paramsno ty
279 | _ -> raise CicExportationInternalError
282 let connames_and_argsno_and_patterns =
286 | (x,no)::tlx,y::tly -> (x,no,y)::(combine (tlx,tly))
287 | _,_ -> assert false
289 combine (connames_and_argsno,patterns)
291 "\n(match " ^ pp ~in_type:false te context ^ " with \n " ^
292 (String.concat "\n | "
295 let rec aux argsno context =
297 Cic.Lambda (name,ty,bo) when argsno > 0 ->
300 Cic.Anonymous -> Cic.Anonymous
301 | Cic.Name n -> Cic.Name (ppid n) in
303 aux (argsno - 1) (Some (name,Cic.Decl ty)::context)
306 (match analyze_type context ty with
308 | `Sort _ -> args,res
312 | C.Name s -> s)::args,res)
313 | t when argsno = 0 -> [],pp ~in_type:false t context
315 ["{" ^ string_of_int argsno ^ " args missing}"],
316 pp ~in_type:false t context
319 if argsno = 0 then x,pp ~in_type:false y context
321 let args,body = aux argsno context y in
322 let sargs = String.concat "," args in
323 x ^ (if sargs = "" then "" else "(" ^ sargs^ ")"),
327 if needs_obj_magic then
328 "Obj.magic (" ^ body ^ ")"
331 ) connames_and_argsno_and_patterns)) ^
333 | C.Fix (no, funs) ->
337 (function (name,_,ty,_) ->
338 Some (C.Name name,Cic.Decl ty)) funs)
342 (fun (name,ind,ty,bo) i -> name ^ " = \n" ^
343 pp ~in_type:false bo (names@context) ^ i)
346 (match get_nth names (no + 1) with
347 Some (Cic.Name n,_) -> n
349 | C.CoFix (no,funs) ->
353 (function (name,ty,_) ->
354 Some (C.Name name,Cic.Decl ty)) funs)
358 (fun (name,ty,bo) i -> "\n" ^ name ^
359 " : " ^ pp ~in_type:true ty context ^ " := \n" ^
360 pp ~in_type:false bo (names@context) ^ i)
363 and pp_exp_named_subst exp_named_subst context =
364 if exp_named_subst = [] then "" else
366 String.concat " ; " (
368 (function (uri,t) -> UriManager.name_of_uri uri ^ " \\Assign " ^ pp ~in_type:false t context)
371 and clean_args nparams context =
372 let nparams = ref nparams in
376 match analyze_term context t with
377 `Term when !nparams < 0 -> Some (pp ~in_type:false t context)
381 and clean_args_for_ty context =
384 match analyze_term context t with
385 `Type -> Some (pp ~in_type:true t context)
392 let ppty current_module_uri =
393 (* nparams is the number of left arguments
394 left arguments should either become parameters or be skipped altogether *)
395 let rec args nparams context =
400 Cic.Anonymous -> Cic.Anonymous
401 | Cic.Name n -> Cic.Name (String.uncapitalize n)
403 (match analyze_type context s with
406 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
407 | `Type when nparams > 0 ->
408 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
411 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t in
412 abstr,pp ~in_type:true current_module_uri s context::args
416 Cic.Anonymous -> Cic.Anonymous
417 | Cic.Name name -> Cic.Name ("'" ^ name) in
419 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
422 Cic.Anonymous -> abstr
423 | Cic.Name name -> name::abstr),
430 (* ppinductiveType (typename, inductive, arity, cons) *)
431 (* pretty-prints a single inductive definition *)
432 (* (typename, inductive, arity, cons) *)
433 let ppinductiveType current_module_uri nparams (typename, inductive, arity, cons)
435 match analyze_type [] arity with
438 | `Type -> assert false
441 "type " ^ String.uncapitalize typename ^ " = unit (* empty type *)\n"
445 (fun (id,ty) (_abstr,i) -> (* we should verify _abstr = abstr' *)
446 let abstr',sargs = ppty current_module_uri nparams [] ty in
447 let sargs = String.concat " * " sargs in
449 String.capitalize id ^
450 (if sargs = "" then "" else " of " ^ sargs) ^
451 (if i = "" then "" else "\n | ") ^ i)
455 let s = String.concat "," abstr in
456 if s = "" then "" else "(" ^ s ^ ") "
458 "type " ^ abstr ^ String.uncapitalize typename ^ " =\n" ^ scons ^ "\n")
461 let ppobj current_module_uri obj =
462 let module C = Cic in
463 let module U = UriManager in
464 let pp ~in_type = pp ~in_type current_module_uri in
466 C.Constant (name, Some t1, t2, params, _) ->
467 (match analyze_type [] t2 with
470 | `Type -> "let " ^ ppid name ^ " =\n" ^ pp ~in_type:false t1 [] ^ "\n"
472 match analyze_type [] t1 with
475 let abstr,args = ppty current_module_uri 0 [] t1 in
477 let s = String.concat "," abstr in
478 if s = "" then "" else "(" ^ s ^ ") "
480 "type " ^ abstr ^ ppid name ^ " = " ^ String.concat "->" args ^
482 | C.Constant (name, None, ty, params, _) ->
483 (match analyze_type [] ty with
486 | `Sort _ -> "type " ^ ppid name ^ "\n"
487 | `Type -> "let " ^ ppid name ^ " = assert false\n")
488 | C.Variable (name, bo, ty, params, _) ->
490 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
492 pp ~in_type:true ty [] ^ "\n" ^
493 (match bo with None -> "" | Some bo -> ":= " ^ pp ~in_type:false bo [])
494 | C.CurrentProof (name, conjectures, value, ty, params, _) ->
495 "Current Proof of " ^ name ^
496 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
498 let separate s = if s = "" then "" else s ^ " ; " in
500 (fun (n, context, t) i ->
501 let conjectures',name_context =
503 (fun context_entry (i,name_context) ->
504 (match context_entry with
505 Some (n,C.Decl at) ->
508 pp ~in_type:true ~metasenv:conjectures
509 at name_context ^ " ",
510 context_entry::name_context
511 | Some (n,C.Def (at,None)) ->
513 ppname n ^ ":= " ^ pp ~in_type:false
514 ~metasenv:conjectures at name_context ^ " ",
515 context_entry::name_context
517 (separate i) ^ "_ :? _ ", context_entry::name_context
521 conjectures' ^ " |- " ^ "?" ^ (string_of_int n) ^ ": " ^
522 pp ~in_type:true ~metasenv:conjectures t name_context ^ "\n" ^ i
524 "\n" ^ pp ~in_type:false ~metasenv:conjectures value [] ^ " : " ^
525 pp ~in_type:true ~metasenv:conjectures ty []
526 | C.InductiveDefinition (l, params, nparams, _) ->
528 (fun x i -> ppinductiveType current_module_uri nparams x ^ i) l ""
531 let ppobj current_module_uri obj =
532 let res = ppobj current_module_uri obj in
533 if res = "" then "" else res ^ ";;\n\n"