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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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) ^ ")")
185 | C.LetIn (b,s,ty,t) ->
186 (match analyze_term context s with
188 | `Proof -> pp ~in_type t ((Some (b,Cic.Def (s,ty)))::context)
190 "(let " ^ ppname b ^ " : " ^ pp ~in_type:true ty context ^
191 " = " ^ pp ~in_type:false s context ^ " in " ^
192 pp ~in_type t ((Some (b,Cic.Def (s,ty)))::context) ^ ")")
193 | C.Appl (he::tl) when in_type ->
194 let hes = pp ~in_type he context in
195 let stl = String.concat "," (clean_args_for_ty context tl) in
196 (if stl = "" then "" else "(" ^ stl ^ ") ") ^ hes
197 | C.Appl (C.MutInd _ as he::tl) ->
198 let hes = pp ~in_type he context in
199 let stl = String.concat "," (clean_args_for_ty context tl) in
200 (if stl = "" then "" else "(" ^ stl ^ ") ") ^ hes
201 | C.Appl (C.MutConstruct (uri,n,_,_) as he::tl) ->
203 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
204 C.InductiveDefinition (_,_,nparams,_) -> nparams
205 | _ -> assert false in
206 let hes = pp ~in_type he context in
207 let stl = String.concat "," (clean_args nparams context tl) in
208 "(" ^ hes ^ (if stl = "" then "" else "(" ^ stl ^ ")") ^ ")"
210 "(" ^ String.concat " " (clean_args 0 context li) ^ ")"
211 | C.Const (uri,exp_named_subst) ->
212 qualified_name_of_uri current_module_uri uri ^
213 pp_exp_named_subst exp_named_subst context
214 | C.MutInd (uri,n,exp_named_subst) ->
216 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
217 C.InductiveDefinition (dl,_,_,_) ->
218 let (name,_,_,_) = get_nth dl (n+1) in
219 qualified_name_of_uri current_module_uri
220 (UriManager.uri_of_string
221 (UriManager.buri_of_uri uri ^ "/" ^ name ^ ".con")) ^
222 pp_exp_named_subst exp_named_subst context
223 | _ -> raise CicExportationInternalError
225 Sys.Break as exn -> raise exn
226 | _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n + 1)
228 | C.MutConstruct (uri,n1,n2,exp_named_subst) ->
230 match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
231 C.InductiveDefinition (dl,_,_,_) ->
232 let _,_,_,cons = get_nth dl (n1+1) in
233 let id,_ = get_nth cons n2 in
234 qualified_name_of_uri current_module_uri ~capitalize:true
235 (UriManager.uri_of_string
236 (UriManager.buri_of_uri uri ^ "/" ^ id ^ ".con")) ^
237 pp_exp_named_subst exp_named_subst context
238 | _ -> raise CicExportationInternalError
240 Sys.Break as exn -> raise exn
242 UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n1 + 1) ^ "/" ^
245 | C.MutCase (uri,n1,ty,te,patterns) ->
247 "unit (* TOO POLYMORPHIC TYPE *)"
249 let needs_obj_magic =
250 (* BUG HERE: we should consider also the right parameters *)
251 match CicReduction.whd context ty with
252 Cic.Lambda (_,_,t) -> not (DoubleTypeInference.does_not_occur 1 t)
253 | _ -> false (* it can be a Rel, e.g. in *_rec *)
255 (match analyze_term context te with
256 `Type -> assert false
259 [] -> "assert false" (* empty type elimination *)
261 pp ~in_type:false he context (* singleton elimination *)
264 if patterns = [] then "assert false"
266 (let connames_and_argsno =
267 (match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
268 C.InductiveDefinition (dl,_,paramsno,_) ->
269 let (_,_,_,cons) = get_nth dl (n1+1) in
272 (* this is just an approximation since we do not have
274 let rec count_prods toskip =
276 C.Prod (_,_,bo) when toskip > 0 ->
277 count_prods (toskip - 1) bo
278 | C.Prod (_,_,bo) -> 1 + count_prods 0 bo
281 qualified_name_of_uri current_module_uri
283 (UriManager.uri_of_string
284 (UriManager.buri_of_uri uri ^ "/" ^ id ^ ".con")),
285 count_prods paramsno ty
287 | _ -> raise CicExportationInternalError
290 let connames_and_argsno_and_patterns =
294 | (x,no)::tlx,y::tly -> (x,no,y)::(combine (tlx,tly))
295 | _,_ -> assert false
297 combine (connames_and_argsno,patterns)
299 "\n(match " ^ pp ~in_type:false te context ^ " with \n " ^
300 (String.concat "\n | "
303 let rec aux argsno context =
305 Cic.Lambda (name,ty,bo) when argsno > 0 ->
308 Cic.Anonymous -> Cic.Anonymous
309 | Cic.Name n -> Cic.Name (ppid n) in
311 aux (argsno - 1) (Some (name,Cic.Decl ty)::context)
314 (match analyze_type context ty with
316 | `Sort _ -> args,res
320 | C.Name s -> s)::args,res)
321 | t when argsno = 0 -> [],pp ~in_type:false t context
323 ["{" ^ string_of_int argsno ^ " args missing}"],
324 pp ~in_type:false t context
327 if argsno = 0 then x,pp ~in_type:false y context
329 let args,body = aux argsno context y in
330 let sargs = String.concat "," args in
331 x ^ (if sargs = "" then "" else "(" ^ sargs^ ")"),
335 if needs_obj_magic then
336 "Obj.magic (" ^ body ^ ")"
339 ) connames_and_argsno_and_patterns)) ^
341 | C.Fix (no, funs) ->
344 (fun (types,len) (n,_,ty,_) ->
345 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
351 (fun (name,ind,ty,bo) i -> name ^ " = \n" ^
352 pp ~in_type:false bo (names@context) ^ i)
355 (match get_nth names (no + 1) with
356 Some (Cic.Name n,_) -> n
358 | C.CoFix (no,funs) ->
361 (fun (types,len) (n,ty,_) ->
362 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
368 (fun (name,ty,bo) i -> "\n" ^ name ^
369 " : " ^ pp ~in_type:true ty context ^ " := \n" ^
370 pp ~in_type:false bo (names@context) ^ i)
373 and pp_exp_named_subst exp_named_subst context =
374 if exp_named_subst = [] then "" else
376 String.concat " ; " (
378 (function (uri,t) -> UriManager.name_of_uri uri ^ " \\Assign " ^ pp ~in_type:false t context)
381 and clean_args nparams context =
382 let nparams = ref nparams in
386 match analyze_term context t with
387 `Term when !nparams < 0 -> Some (pp ~in_type:false t context)
391 and clean_args_for_ty context =
394 match analyze_term context t with
395 `Type -> Some (pp ~in_type:true t context)
402 let ppty current_module_uri =
403 (* nparams is the number of left arguments
404 left arguments should either become parameters or be skipped altogether *)
405 let rec args nparams context =
410 Cic.Anonymous -> Cic.Anonymous
411 | Cic.Name n -> Cic.Name (String.uncapitalize n)
413 (match analyze_type context s with
416 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
417 | `Type when nparams > 0 ->
418 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
421 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t in
422 abstr,pp ~in_type:true current_module_uri s context::args
423 | `Sort _ when nparams <= 0 ->
424 let n = Cic.Name "unit (* EXISTENTIAL TYPE *)" in
425 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
429 Cic.Anonymous -> Cic.Anonymous
430 | Cic.Name name -> Cic.Name ("'" ^ name) in
432 args (nparams - 1) ((Some (n,Cic.Decl s))::context) t
435 Cic.Anonymous -> abstr
436 | Cic.Name name -> name::abstr),
443 exception DoNotExtract;;
445 let pp_abstracted_ty current_module_uri =
446 let rec args context =
448 Cic.Lambda (n,s,t) ->
451 Cic.Anonymous -> Cic.Anonymous
452 | Cic.Name n -> Cic.Name (String.uncapitalize n)
454 (match analyze_type context s with
458 args ((Some (n,Cic.Decl s))::context) t
462 Cic.Anonymous -> Cic.Anonymous
463 | Cic.Name name -> Cic.Name ("'" ^ name) in
465 args ((Some (n,Cic.Decl s))::context) t
468 Cic.Anonymous -> abstr
469 | Cic.Name name -> name::abstr),
472 match analyze_type context ty with
474 | `Statement -> raise DoNotExtract
476 (* BUG HERE: this can be a real System F type *)
477 let head = pp ~in_type:true current_module_uri ty context in
484 (* ppinductiveType (typename, inductive, arity, cons) *)
485 (* pretty-prints a single inductive definition *)
486 (* (typename, inductive, arity, cons) *)
487 let ppinductiveType current_module_uri nparams (typename, inductive, arity, cons)
489 match analyze_type [] arity with
492 | `Type -> assert false
495 "type " ^ String.uncapitalize typename ^ " = unit (* empty type *)\n"
499 (fun (id,ty) (_abstr,i) -> (* we should verify _abstr = abstr' *)
500 let abstr',sargs = ppty current_module_uri nparams [] ty in
501 let sargs = String.concat " * " sargs in
503 String.capitalize id ^
504 (if sargs = "" then "" else " of " ^ sargs) ^
505 (if i = "" then "" else "\n | ") ^ i)
509 let s = String.concat "," abstr in
510 if s = "" then "" else "(" ^ s ^ ") "
512 "type " ^ abstr ^ String.uncapitalize typename ^ " =\n" ^ scons ^ "\n")
515 let ppobj current_module_uri obj =
516 let module C = Cic in
517 let module U = UriManager in
518 let pp ~in_type = pp ~in_type current_module_uri in
520 C.Constant (name, Some t1, t2, params, _) ->
521 (match analyze_type [] t2 with
524 | `Type -> "let " ^ ppid name ^ " =\n" ^ pp ~in_type:false t1 [] ^ "\n"
526 match analyze_type [] t1 with
530 let abstr,res = pp_abstracted_ty current_module_uri [] t1 in
532 let s = String.concat "," abstr in
533 if s = "" then "" else "(" ^ s ^ ") "
535 "type " ^ abstr ^ ppid name ^ " = " ^ res ^ "\n"
538 | C.Constant (name, None, ty, params, _) ->
539 (match analyze_type [] ty with
542 | `Sort _ -> "type " ^ ppid name ^ "\n"
543 | `Type -> "let " ^ ppid name ^ " = assert false\n")
544 | C.Variable (name, bo, ty, params, _) ->
546 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
548 pp ~in_type:true ty [] ^ "\n" ^
549 (match bo with None -> "" | Some bo -> ":= " ^ pp ~in_type:false bo [])
550 | C.CurrentProof (name, conjectures, value, ty, params, _) ->
551 "Current Proof of " ^ name ^
552 "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
554 let separate s = if s = "" then "" else s ^ " ; " in
556 (fun (n, context, t) i ->
557 let conjectures',name_context =
559 (fun context_entry (i,name_context) ->
560 (match context_entry with
561 Some (n,C.Decl at) ->
564 pp ~in_type:true ~metasenv:conjectures
565 at name_context ^ " ",
566 context_entry::name_context
567 | Some (n,C.Def (at,aty)) ->
570 pp ~in_type:true ~metasenv:conjectures
572 ":= " ^ pp ~in_type:false
573 ~metasenv:conjectures at name_context ^ " ",
574 context_entry::name_context
576 (separate i) ^ "_ :? _ ", context_entry::name_context)
579 conjectures' ^ " |- " ^ "?" ^ (string_of_int n) ^ ": " ^
580 pp ~in_type:true ~metasenv:conjectures t name_context ^ "\n" ^ i
582 "\n" ^ pp ~in_type:false ~metasenv:conjectures value [] ^ " : " ^
583 pp ~in_type:true ~metasenv:conjectures ty []
584 | C.InductiveDefinition (l, params, nparams, _) ->
586 (fun x i -> ppinductiveType current_module_uri nparams x ^ i) l ""
589 let ppobj current_module_uri obj =
590 let res = ppobj current_module_uri obj in
591 if res = "" then "" else res ^ ";;\n\n"