1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Pp
open Errors
open Util
open Libnames
open Globnames
open Nameops
open Libobject
type is_type = bool (* Module Type or just Module *)
type export = bool option (* None for a Module Type *)
type node =
| Leaf of obj
| CompilingLibrary of object_prefix
| OpenedModule of is_type * export * object_prefix * Summary.frozen
| ClosedModule of library_segment
| OpenedSection of object_prefix * Summary.frozen
| ClosedSection of library_segment
| FrozenState of Summary.frozen
and library_entry = object_name * node
and library_segment = library_entry list
type lib_objects = (Names.Id.t * obj) list
let module_kind is_type =
if is_type then "module type" else "module"
let iter_objects f i prefix =
List.iter (fun (id,obj) -> f i (make_oname prefix id, obj))
let load_objects i pr = iter_objects load_object i pr
let open_objects i pr = iter_objects open_object i pr
let subst_objects subst seg =
let subst_one = fun (id,obj as node) ->
let obj' = subst_object (subst,obj) in
if obj' == obj then node else
(id, obj')
in
List.smartmap subst_one seg
(*let load_and_subst_objects i prefix subst seg =
List.rev (List.fold_left (fun seg (id,obj as node) ->
let obj' = subst_object (make_oname prefix id, subst, obj) in
let node = if obj == obj' then node else (id, obj') in
load_object i (make_oname prefix id, obj');
node :: seg) [] seg)
*)
let classify_segment seg =
let rec clean ((substl,keepl,anticipl) as acc) = function
| (_,CompilingLibrary _) :: _ | [] -> acc
| ((sp,kn),Leaf o) :: stk ->
let id = Names.Label.to_id (Names.label kn) in
(match classify_object o with
| Dispose -> clean acc stk
| Keep o' ->
clean (substl, (id,o')::keepl, anticipl) stk
| Substitute o' ->
clean ((id,o')::substl, keepl, anticipl) stk
| Anticipate o' ->
clean (substl, keepl, o'::anticipl) stk)
| (_,ClosedSection _) :: stk -> clean acc stk
(* LEM; TODO: Understand what this does and see if what I do is the
correct thing for ClosedMod(ule|type) *)
| (_,ClosedModule _) :: stk -> clean acc stk
| (_,OpenedSection _) :: _ -> error "there are still opened sections"
| (_,OpenedModule (ty,_,_,_)) :: _ ->
error ("there are still opened " ^ module_kind ty ^"s")
| (_,FrozenState _) :: stk -> clean acc stk
in
clean ([],[],[]) (List.rev seg)
let segment_of_objects prefix =
List.map (fun (id,obj) -> (make_oname prefix id, Leaf obj))
(* We keep trace of operations in the stack [lib_stk].
[path_prefix] is the current path of sections, where sections are stored in
``correct'' order, the oldest coming first in the list. It may seems
costly, but in practice there is not so many openings and closings of
sections, but on the contrary there are many constructions of section
paths based on the library path. *)
let initial_prefix = default_library,(Names.initial_path,Names.DirPath.empty)
let lib_stk = ref ([] : library_segment)
let comp_name = ref None
let library_dp () =
match !comp_name with Some m -> m | None -> default_library
(* [path_prefix] is a pair of absolute dirpath and a pair of current
module path and relative section path *)
let path_prefix = ref initial_prefix
let cwd () = fst !path_prefix
let current_prefix () = snd !path_prefix
let current_mp () = fst (snd !path_prefix)
let current_sections () = snd (snd !path_prefix)
let sections_depth () = List.length (Names.DirPath.repr (current_sections ()))
let sections_are_opened () = not (Names.DirPath.is_empty (current_sections ()))
let cwd_except_section () =
Libnames.pop_dirpath_n (sections_depth ()) (cwd ())
let current_dirpath sec =
Libnames.drop_dirpath_prefix (library_dp ())
(if sec then cwd () else cwd_except_section ())
let make_path id = Libnames.make_path (cwd ()) id
let make_path_except_section id =
Libnames.make_path (cwd_except_section ()) id
let make_kn id =
let mp,dir = current_prefix () in
Names.make_kn mp dir (Names.Label.of_id id)
let make_oname id = Libnames.make_oname !path_prefix id
let recalc_path_prefix () =
let rec recalc = function
| (sp, OpenedSection (dir,_)) :: _ -> dir
| (sp, OpenedModule (_,_,dir,_)) :: _ -> dir
| (sp, CompilingLibrary dir) :: _ -> dir
| _::l -> recalc l
| [] -> initial_prefix
in
path_prefix := recalc !lib_stk
let pop_path_prefix () =
let dir,(mp,sec) = !path_prefix in
path_prefix := pop_dirpath dir, (mp, pop_dirpath sec)
let find_entry_p p =
let rec find = function
| [] -> raise Not_found
| ent::l -> if p ent then ent else find l
in
find !lib_stk
let split_lib_gen test =
let rec collect after equal = function
| hd::before when test hd -> collect after (hd::equal) before
| before -> after,equal,before
in
let rec findeq after = function
| hd :: before ->
if test hd
then Some (collect after [hd] before)
else (match hd with
| (sp,ClosedModule seg)
| (sp,ClosedSection seg) ->
(match findeq after seg with
| None -> findeq (hd::after) before
| Some (sub_after,sub_equal,sub_before) ->
Some (sub_after, sub_equal, (List.append sub_before before)))
| _ -> findeq (hd::after) before)
| [] -> None
in
match findeq [] !lib_stk with
| None -> error "no such entry"
| Some r -> r
let eq_object_name (fp1, kn1) (fp2, kn2) =
eq_full_path fp1 fp2 && Names.KerName.equal kn1 kn2
let split_lib sp =
let is_sp (nsp, _) = eq_object_name sp nsp in
split_lib_gen is_sp
let split_lib_at_opening sp =
let is_sp (nsp, obj) = match obj with
| OpenedSection _ | OpenedModule _ | CompilingLibrary _ ->
eq_object_name nsp sp
| _ -> false
in
let a, s, b = split_lib_gen is_sp in
match s with
| [obj] -> (a, obj, b)
| _ -> assert false
(* Adding operations. *)
let add_entry sp node =
lib_stk := (sp,node) :: !lib_stk
let anonymous_id =
let n = ref 0 in
fun () -> incr n; Names.Id.of_string ("_" ^ (string_of_int !n))
let add_anonymous_entry node =
add_entry (make_oname (anonymous_id ())) node
let add_leaf id obj =
if Names.ModPath.equal (current_mp ()) Names.initial_path then
error ("No session module started (use -top dir)");
let oname = make_oname id in
cache_object (oname,obj);
add_entry oname (Leaf obj);
oname
let add_discharged_leaf id obj =
let oname = make_oname id in
let newobj = rebuild_object obj in
cache_object (oname,newobj);
add_entry oname (Leaf newobj)
let add_leaves id objs =
let oname = make_oname id in
let add_obj obj =
add_entry oname (Leaf obj);
load_object 1 (oname,obj)
in
List.iter add_obj objs;
oname
let add_anonymous_leaf obj =
let id = anonymous_id () in
let oname = make_oname id in
cache_object (oname,obj);
add_entry oname (Leaf obj)
let add_frozen_state () =
add_anonymous_entry
(FrozenState (Summary.freeze_summaries ~marshallable:`No))
(* Modules. *)
let is_opening_node = function
| _,(OpenedSection _ | OpenedModule _) -> true
| _ -> false
let is_opening_node_or_lib = function
| _,(CompilingLibrary _ | OpenedSection _ | OpenedModule _) -> true
| _ -> false
let current_mod_id () =
try match find_entry_p is_opening_node_or_lib with
| oname,OpenedModule (_,_,_,fs) -> basename (fst oname)
| oname,CompilingLibrary _ -> basename (fst oname)
| _ -> error "you are not in a module"
with Not_found -> error "no opened modules"
let start_mod is_type export id mp fs =
let dir = add_dirpath_suffix (cwd ()) id in
let prefix = dir,(mp,Names.DirPath.empty) in
let exists =
if is_type then Nametab.exists_cci (make_path id)
else Nametab.exists_module dir
in
if exists then
errorlabstrm "open_module" (pr_id id ++ str " already exists");
add_entry (make_oname id) (OpenedModule (is_type,export,prefix,fs));
path_prefix := prefix;
prefix
let start_module = start_mod false
let start_modtype = start_mod true None
let error_still_opened string oname =
let id = basename (fst oname) in
errorlabstrm ""
(str ("The "^string^" ") ++ pr_id id ++ str " is still opened.")
let end_mod is_type =
let oname,fs =
try match find_entry_p is_opening_node with
| oname,OpenedModule (ty,_,_,fs) ->
if ty == is_type then oname, fs
else error_still_opened (module_kind ty) oname
| oname,OpenedSection _ -> error_still_opened "section" oname
| _ -> assert false
with Not_found -> error "No opened modules."
in
let (after,mark,before) = split_lib_at_opening oname in
lib_stk := before;
add_entry oname (ClosedModule (List.rev (mark::after)));
let prefix = !path_prefix in
recalc_path_prefix ();
(oname, prefix, fs, after)
let end_module () = end_mod false
let end_modtype () = end_mod true
let contents () = !lib_stk
let contents_after sp = let (after,_,_) = split_lib sp in after
(* Modules. *)
(* TODO: use check_for_module ? *)
let start_compilation s mp =
if !comp_name != None then
error "compilation unit is already started";
if not (Names.DirPath.is_empty (current_sections ())) then
error "some sections are already opened";
let prefix = s, (mp, Names.DirPath.empty) in
let () = add_anonymous_entry (CompilingLibrary prefix) in
comp_name := Some s;
path_prefix := prefix
let end_compilation dir =
let _ =
try match snd (find_entry_p is_opening_node) with
| OpenedSection _ -> error "There are some open sections."
| OpenedModule (ty,_,_,_) ->
error ("There are some open "^module_kind ty^"s.")
| _ -> assert false
with Not_found -> ()
in
let is_opening_lib = function _,CompilingLibrary _ -> true | _ -> false
in
let oname =
try match find_entry_p is_opening_lib with
| (oname, CompilingLibrary prefix) -> oname
| _ -> assert false
with Not_found -> anomaly (Pp.str "No module declared")
in
let _ =
match !comp_name with
| None -> anomaly (Pp.str "There should be a module name...")
| Some m ->
if not (Names.DirPath.equal m dir) then anomaly
(str "The current open module has name" ++ spc () ++ pr_dirpath m ++
spc () ++ str "and not" ++ spc () ++ pr_dirpath m);
in
let (after,mark,before) = split_lib_at_opening oname in
comp_name := None;
!path_prefix,after
(* Returns true if we are inside an opened module or module type *)
let is_module_gen which check =
let test = function
| _, OpenedModule (ty,_,_,_) -> which ty
| _ -> false
in
try
match find_entry_p test with
| _, OpenedModule (ty,_,_,_) -> check ty
| _ -> assert false
with Not_found -> false
let is_module_or_modtype () = is_module_gen (fun _ -> true) (fun _ -> true)
let is_modtype () = is_module_gen (fun b -> b) (fun _ -> true)
let is_modtype_strict () = is_module_gen (fun _ -> true) (fun b -> b)
let is_module () = is_module_gen (fun b -> not b) (fun _ -> true)
(* Returns the opening node of a given name *)
let find_opening_node id =
try
let oname,entry = find_entry_p is_opening_node in
let id' = basename (fst oname) in
if not (Names.Id.equal id id') then
error ("Last block to end has name "^(Names.Id.to_string id')^".");
entry
with Not_found -> error "There is nothing to end."
(* Discharge tables *)
(* At each level of section, we remember
- the list of variables in this section
- the list of variables on which each constant depends in this section
- the list of variables on which each inductive depends in this section
- the list of substitution to do at section closing
*)
type variable_info = Names.Id.t * Decl_kinds.binding_kind * Term.constr option * Term.types
type variable_context = variable_info list
type abstr_info = variable_context * Univ.universe_level_subst * Univ.UContext.t
type abstr_list = abstr_info Names.Cmap.t * abstr_info Names.Mindmap.t
let sectab =
Summary.ref ([] : ((Names.Id.t * Decl_kinds.binding_kind *
Decl_kinds.polymorphic * Univ.universe_context_set) list *
Opaqueproof.work_list * abstr_list) list)
~name:"section-context"
let add_section () =
sectab := ([],(Names.Cmap.empty,Names.Mindmap.empty),
(Names.Cmap.empty,Names.Mindmap.empty)) :: !sectab
let add_section_variable id impl poly ctx =
match !sectab with
| [] -> () (* because (Co-)Fixpoint temporarily uses local vars *)
| (vars,repl,abs)::sl ->
sectab := ((id,impl,poly,ctx)::vars,repl,abs)::sl
let extract_hyps (secs,ohyps) =
let rec aux = function
| ((id,impl,poly,ctx)::idl,(id',b,t)::hyps) when Names.Id.equal id id' ->
let l, r = aux (idl,hyps) in
(id',impl,b,t) :: l, if poly then Univ.ContextSet.union r ctx else r
| ((_,_,poly,ctx)::idl,hyps) ->
let l, r = aux (idl,hyps) in
l, if poly then Univ.ContextSet.union r ctx else r
| [], _ -> [],Univ.ContextSet.empty
in aux (secs,ohyps)
let instance_from_variable_context sign =
let rec inst_rec = function
| (id,b,None,_) :: sign -> id :: inst_rec sign
| _ :: sign -> inst_rec sign
| [] -> [] in
Array.of_list (inst_rec sign)
let named_of_variable_context ctx = List.map (fun (id,_,b,t) -> (id,b,t)) ctx
let add_section_replacement f g hyps =
match !sectab with
| [] -> ()
| (vars,exps,abs)::sl ->
let sechyps,ctx = extract_hyps (vars,hyps) in
let ctx = Univ.ContextSet.to_context ctx in
let subst, ctx = Univ.abstract_universes true ctx in
let args = instance_from_variable_context (List.rev sechyps) in
sectab := (vars,f (Univ.UContext.instance ctx,args) exps,g (sechyps,subst,ctx) abs)::sl
let add_section_kn kn =
let f x (l1,l2) = (l1,Names.Mindmap.add kn x l2) in
add_section_replacement f f
let add_section_constant is_projection kn =
let f x (l1,l2) = (Names.Cmap.add kn x l1,l2) in
add_section_replacement f f
let replacement_context () = pi2 (List.hd !sectab)
let section_segment_of_constant con =
Names.Cmap.find con (fst (pi3 (List.hd !sectab)))
let section_segment_of_mutual_inductive kn =
Names.Mindmap.find kn (snd (pi3 (List.hd !sectab)))
let section_instance = function
| VarRef id ->
if List.exists (fun (id',_,_,_) -> Names.id_eq id id')
(pi1 (List.hd !sectab))
then Univ.Instance.empty, [||]
else raise Not_found
| ConstRef con ->
Names.Cmap.find con (fst (pi2 (List.hd !sectab)))
| IndRef (kn,_) | ConstructRef ((kn,_),_) ->
Names.Mindmap.find kn (snd (pi2 (List.hd !sectab)))
let is_in_section ref =
try ignore (section_instance ref); true with Not_found -> false
let full_replacement_context () = List.map pi2 !sectab
let full_section_segment_of_constant con =
List.map (fun (vars,_,(x,_)) -> fun hyps ->
named_of_variable_context
(try pi1 (Names.Cmap.find con x)
with Not_found -> fst (extract_hyps (vars, hyps)))) !sectab
(*************)
(* Sections. *)
(* XML output hooks *)
let (f_xml_open_section, xml_open_section) = Hook.make ~default:ignore ()
let (f_xml_close_section, xml_close_section) = Hook.make ~default:ignore ()
let open_section id =
let olddir,(mp,oldsec) = !path_prefix in
let dir = add_dirpath_suffix olddir id in
let prefix = dir, (mp, add_dirpath_suffix oldsec id) in
if Nametab.exists_section dir then
errorlabstrm "open_section" (pr_id id ++ str " already exists.");
let fs = Summary.freeze_summaries ~marshallable:`No in
add_entry (make_oname id) (OpenedSection (prefix, fs));
(*Pushed for the lifetime of the section: removed by unfrozing the summary*)
Nametab.push_dir (Nametab.Until 1) dir (DirOpenSection prefix);
path_prefix := prefix;
if !Flags.xml_export then Hook.get f_xml_open_section id;
add_section ()
(* Restore lib_stk and summaries as before the section opening, and
add a ClosedSection object. *)
let discharge_item ((sp,_ as oname),e) =
match e with
| Leaf lobj ->
Option.map (fun o -> (basename sp,o)) (discharge_object (oname,lobj))
| FrozenState _ -> None
| ClosedSection _ | ClosedModule _ -> None
| OpenedSection _ | OpenedModule _ | CompilingLibrary _ ->
anomaly (Pp.str "discharge_item")
let close_section () =
let oname,fs =
try match find_entry_p is_opening_node with
| oname,OpenedSection (_,fs) -> oname,fs
| _ -> assert false
with Not_found ->
error "No opened section."
in
let (secdecls,mark,before) = split_lib_at_opening oname in
lib_stk := before;
let full_olddir = fst !path_prefix in
pop_path_prefix ();
add_entry oname (ClosedSection (List.rev (mark::secdecls)));
if !Flags.xml_export then Hook.get f_xml_close_section (basename (fst oname));
let newdecls = List.map discharge_item secdecls in
Summary.unfreeze_summaries fs;
List.iter (Option.iter (fun (id,o) -> add_discharged_leaf id o)) newdecls;
Nametab.push_dir (Nametab.Until 1) full_olddir (DirClosedSection full_olddir)
(* State and initialization. *)
type frozen = Names.DirPath.t option * library_segment
let freeze ~marshallable =
match marshallable with
| `Shallow ->
(* TASSI: we should do something more sensible here *)
let lib_stk =
CList.map_filter (function
| _, Leaf _ -> None
| n, (CompilingLibrary _ as x) -> Some (n,x)
| n, OpenedModule (it,e,op,_) ->
Some(n,OpenedModule(it,e,op,Summary.empty_frozen))
| n, ClosedModule _ -> Some (n,ClosedModule [])
| n, OpenedSection (op, _) ->
Some(n,OpenedSection(op,Summary.empty_frozen))
| n, ClosedSection _ -> Some (n,ClosedSection [])
| _, FrozenState _ -> None)
!lib_stk in
!comp_name, lib_stk
| _ ->
!comp_name, !lib_stk
let unfreeze (mn,stk) =
comp_name := mn;
lib_stk := stk;
recalc_path_prefix ()
let init () =
unfreeze (None,[]);
Summary.init_summaries ();
add_frozen_state () (* Stores e.g. the keywords declared in g_*.ml4 *)
(* Misc *)
let mp_of_global = function
|VarRef id -> current_mp ()
|ConstRef cst -> Names.con_modpath cst
|IndRef ind -> Names.ind_modpath ind
|ConstructRef constr -> Names.constr_modpath constr
let rec dp_of_mp = function
|Names.MPfile dp -> dp
|Names.MPbound _ -> library_dp ()
|Names.MPdot (mp,_) -> dp_of_mp mp
let rec split_mp = function
|Names.MPfile dp -> dp, Names.DirPath.empty
|Names.MPdot (prfx, lbl) ->
let mprec, dprec = split_mp prfx in
mprec, Libnames.add_dirpath_suffix dprec (Names.Label.to_id lbl)
|Names.MPbound mbid ->
let (_,id,dp) = Names.MBId.repr mbid in
library_dp (), Names.DirPath.make [id]
let rec split_modpath = function
|Names.MPfile dp -> dp, []
|Names.MPbound mbid -> library_dp (), [Names.MBId.to_id mbid]
|Names.MPdot (mp,l) ->
let (dp,ids) = split_modpath mp in
(dp, Names.Label.to_id l :: ids)
let library_part = function
|VarRef id -> library_dp ()
|ref -> dp_of_mp (mp_of_global ref)
let remove_section_part ref =
let sp = Nametab.path_of_global ref in
let dir,_ = repr_path sp in
match ref with
| VarRef id ->
anomaly (Pp.str "remove_section_part not supported on local variables")
| _ ->
if is_dirpath_prefix_of dir (cwd ()) then
(* Not yet (fully) discharged *)
pop_dirpath_n (sections_depth ()) (cwd ())
else
(* Theorem/Lemma outside its outer section of definition *)
dir
(************************)
(* Discharging names *)
let con_defined_in_sec kn =
let _,dir,_ = Names.repr_con kn in
not (Names.DirPath.is_empty dir) &&
Names.DirPath.equal (pop_dirpath dir) (current_sections ())
let defined_in_sec kn =
let _,dir,_ = Names.repr_mind kn in
not (Names.DirPath.is_empty dir) &&
Names.DirPath.equal (pop_dirpath dir) (current_sections ())
let discharge_global = function
| ConstRef kn when con_defined_in_sec kn ->
ConstRef (Globnames.pop_con kn)
| IndRef (kn,i) when defined_in_sec kn ->
IndRef (Globnames.pop_kn kn,i)
| ConstructRef ((kn,i),j) when defined_in_sec kn ->
ConstructRef ((Globnames.pop_kn kn,i),j)
| r -> r
let discharge_kn kn =
if defined_in_sec kn then Globnames.pop_kn kn else kn
let discharge_con cst =
if con_defined_in_sec cst then Globnames.pop_con cst else cst
let discharge_inductive (kn,i) =
(discharge_kn kn,i)
|