aboutsummaryrefslogtreecommitdiffhomepage
path: root/tactics/decl_interp.ml
blob: 77357e3fa402076b5d58695df643ecc07b8b280f (plain)
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
(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

(*i $Id$ i*)

open Util
open Names
open Topconstr
open Tacinterp
open Tacmach
open Decl_expr
open Decl_mode
open Pretyping.Default
open Rawterm
open Term
open Pp

(* INTERN *)

let raw_app (loc,hd,args) = if args =[] then hd else RApp(loc,hd,args)

let intern_justification_items globs =
  Option.map (List.map (intern_constr globs))

let intern_justification_method globs =
  Option.map (intern_tactic globs)

let intern_statement intern_it globs st =
  {st_label=st.st_label;
   st_it=intern_it globs st.st_it}

let intern_no_bind intern_it globs x =
  globs,intern_it globs x

let intern_constr_or_thesis globs = function
    Thesis n -> Thesis n
  | This c -> This (intern_constr globs c)

let add_var id globs=
  let l1,l2=globs.ltacvars in
    {globs with ltacvars= (id::l1),(id::l2)}

let add_name nam globs=
 match nam with
     Anonymous -> globs
   | Name id -> add_var id globs

let intern_hyp iconstr globs = function
    Hvar (loc,(id,topt)) -> add_var id globs,
      Hvar (loc,(id,Option.map (intern_constr globs) topt))
  | Hprop st -> add_name st.st_label globs,
      Hprop (intern_statement iconstr globs st)

let intern_hyps iconstr globs hyps =
  snd (list_fold_map (intern_hyp iconstr) globs hyps)

let intern_cut intern_it globs cut=
  let nglobs,nstat=intern_it globs cut.cut_stat in
    {cut_stat=nstat;
     cut_by=intern_justification_items nglobs cut.cut_by;
     cut_using=intern_justification_method nglobs cut.cut_using}

let intern_casee globs = function
    Real c -> Real (intern_constr globs c)
  | Virtual cut -> Virtual
      (intern_cut (intern_no_bind (intern_statement intern_constr)) globs cut)

let intern_hyp_list args globs =
  let intern_one globs (loc,(id,opttyp)) =
    (add_var id globs),
    (loc,(id,Option.map (intern_constr globs) opttyp)) in
  list_fold_map intern_one globs args

let intern_suffices_clause globs (hyps,c) =
  let nglobs,nhyps = list_fold_map (intern_hyp intern_constr) globs hyps in
    nglobs,(nhyps,intern_constr_or_thesis nglobs c)

let intern_fundecl args body globs=
  let nglobs,nargs = intern_hyp_list args globs in
    nargs,intern_constr nglobs body

let rec add_vars_of_simple_pattern globs = function
    CPatAlias (loc,p,id) ->
      add_vars_of_simple_pattern (add_var id globs) p
(*      Stdpp.raise_with_loc loc
	(UserError ("simple_pattern",str "\"as\" is not allowed here"))*)
  | CPatOr (loc, _)->
      Stdpp.raise_with_loc loc
	(UserError ("simple_pattern",str "\"(_ | _)\" is not allowed here"))
  | CPatDelimiters (_,_,p) ->
      add_vars_of_simple_pattern globs p
  | CPatCstr (_,_,pl) ->
      List.fold_left add_vars_of_simple_pattern globs pl
  | CPatNotation(_,_,(pl,pll)) ->
      List.fold_left add_vars_of_simple_pattern globs (List.flatten (pl::pll))
  | CPatAtom (_,Some (Libnames.Ident (_,id))) -> add_var id globs
  |  _  -> globs

let rec intern_bare_proof_instr globs = function
    Pthus i -> Pthus (intern_bare_proof_instr globs i)
  | Pthen i -> Pthen (intern_bare_proof_instr globs i)
  | Phence i -> Phence (intern_bare_proof_instr globs i)
  | Pcut c -> Pcut
      (intern_cut
	 (intern_no_bind (intern_statement intern_constr_or_thesis)) globs c)
  | Psuffices c ->
      Psuffices (intern_cut intern_suffices_clause globs c)
  | Prew (s,c) -> Prew
      (s,intern_cut
	 (intern_no_bind  (intern_statement intern_constr)) globs c)
  | Psuppose hyps -> Psuppose (intern_hyps intern_constr globs hyps)
  | Pcase (params,pat,hyps) ->
      let nglobs,nparams = intern_hyp_list params globs in
      let nnglobs= add_vars_of_simple_pattern nglobs pat in
      let nhyps = intern_hyps intern_constr_or_thesis nnglobs hyps in
	Pcase (nparams,pat,nhyps)
  | Ptake witl -> Ptake (List.map (intern_constr globs) witl)
  | Pconsider (c,hyps) -> Pconsider (intern_constr globs c,
				      intern_hyps intern_constr globs hyps)
  | Pper (et,c) -> Pper (et,intern_casee globs c)
  | Pend bt -> Pend bt
  | Pescape -> Pescape
  | Passume hyps -> Passume (intern_hyps intern_constr globs hyps)
  | Pgiven hyps -> Pgiven (intern_hyps intern_constr globs hyps)
  | Plet hyps -> Plet (intern_hyps intern_constr globs hyps)
  | Pclaim st -> Pclaim (intern_statement intern_constr globs st)
  | Pfocus st -> Pfocus (intern_statement intern_constr globs st)
  | Pdefine (id,args,body) ->
      let nargs,nbody = intern_fundecl args body globs in
	Pdefine (id,nargs,nbody)
  | Pcast (id,typ) ->
      Pcast (id,intern_constr globs typ)

let rec intern_proof_instr globs instr=
  {emph = instr.emph;
   instr = intern_bare_proof_instr globs instr.instr}

(* INTERP *)

let interp_justification_items sigma env =
    Option.map (List.map (fun c ->understand sigma env (fst c)))

let interp_constr check_sort sigma env c =
  if check_sort then
    understand_type sigma env (fst c)
  else
    understand sigma env (fst c)

let special_whd env =
  let infos=Closure.create_clos_infos Closure.betadeltaiota env in
    (fun t -> Closure.whd_val infos (Closure.inject t))

let _eq = Libnames.constr_of_global (Coqlib.glob_eq)

let decompose_eq env id =
  let typ = Environ.named_type id env in
  let whd = special_whd env typ in
    match kind_of_term whd with
	App (f,args)->
	  if eq_constr f _eq && (Array.length args)=3
	  then args.(0)
	  else error "Previous step is not an equality."
      | _ -> error "Previous step is not an equality."

let get_eq_typ info env =
  let typ = decompose_eq env (get_last env) in
    typ

let interp_constr_in_type typ sigma env c =
  understand sigma env (fst c) ~expected_type:typ

let interp_statement interp_it sigma env st =
  {st_label=st.st_label;
   st_it=interp_it sigma env st.st_it}

let interp_constr_or_thesis check_sort sigma env = function
    Thesis n -> Thesis n
  | This c -> This (interp_constr check_sort sigma env c)

let abstract_one_hyp inject h raw =
  match h with
      Hvar (loc,(id,None)) ->
	RProd (dummy_loc,Name id, Explicit, RHole (loc,Evd.BinderType (Name id)), raw)
    | Hvar (loc,(id,Some typ)) ->
	RProd (dummy_loc,Name id, Explicit, fst typ, raw)
    | Hprop st ->
	RProd (dummy_loc,st.st_label, Explicit, inject st.st_it, raw)

let rawconstr_of_hyps inject hyps head =
  List.fold_right (abstract_one_hyp inject) hyps head

let raw_prop = RSort (dummy_loc,RProp Null)

let rec match_hyps blend names constr = function
    [] -> [],substl names constr
  | hyp::q ->
      let (name,typ,body)=destProd constr in
      let st= {st_label=name;st_it=substl names typ} in
      let qnames=
	match name with
	    Anonymous -> mkMeta 0 :: names
	  | Name id -> mkVar id :: names in
      let qhyp = match hyp with
	  Hprop st' -> Hprop (blend st st')
	| Hvar _ -> Hvar st in
      let rhyps,head = match_hyps blend qnames body q in
	qhyp::rhyps,head

let interp_hyps_gen inject blend sigma env hyps head =
  let constr=understand sigma env (rawconstr_of_hyps inject hyps head) in
    match_hyps blend [] constr hyps

let interp_hyps sigma env hyps = fst (interp_hyps_gen fst (fun x _ -> x) sigma env hyps raw_prop)

let dummy_prefix= id_of_string "__"

let rec deanonymize ids =
  function
      PatVar (loc,Anonymous) ->
	let (found,known) = !ids in
	let new_id=Nameops.next_ident_away dummy_prefix known in
	let _= ids:= (loc,new_id) :: found , new_id :: known in
	  PatVar (loc,Name new_id)
    | PatVar (loc,Name id) as pat ->
	let (found,known) = !ids in
	let _= ids:= (loc,id) :: found , known in
	  pat
    | PatCstr(loc,cstr,lpat,nam) ->
	PatCstr(loc,cstr,List.map (deanonymize ids) lpat,nam)

let rec raw_of_pat =
  function
      PatVar (loc,Anonymous) -> anomaly "Anonymous pattern variable"
    | PatVar (loc,Name id) ->
	  RVar (loc,id)
    | PatCstr(loc,((ind,_) as cstr),lpat,_) ->
	let mind= fst (Global.lookup_inductive ind) in
	let rec add_params n q =
	  if n<=0 then q else
	    add_params (pred n) (RHole(dummy_loc,
				       Evd.TomatchTypeParameter(ind,n))::q) in
	    let args = List.map raw_of_pat lpat in
	      raw_app(loc,RRef(dummy_loc,Libnames.ConstructRef cstr),
		   add_params mind.Declarations.mind_nparams args)

let prod_one_hyp = function
    (loc,(id,None)) ->
      (fun raw ->
	 RProd (dummy_loc,Name id, Explicit,
		RHole (loc,Evd.BinderType (Name id)), raw))
  | (loc,(id,Some typ)) ->
      (fun raw ->
	 RProd (dummy_loc,Name id, Explicit, fst typ, raw))

let prod_one_id (loc,id) raw =
  RProd (dummy_loc,Name id, Explicit,
	 RHole (loc,Evd.BinderType (Name id)), raw)

let let_in_one_alias (id,pat) raw =
  RLetIn (dummy_loc,Name id, raw_of_pat pat, raw)

let rec bind_primary_aliases map pat =
  match pat with
      PatVar (_,_) -> map
    | PatCstr(loc,_,lpat,nam) ->
	let map1 =
	  match nam with
	      Anonymous -> map
	    | Name id -> (id,pat)::map
	in
	  List.fold_left bind_primary_aliases map1 lpat

let bind_secondary_aliases map subst =
  List.fold_left (fun map (ids,idp) -> (ids,List.assoc idp map)::map) map subst

let bind_aliases patvars subst patt =
  let map = bind_primary_aliases [] patt in
  let map1 = bind_secondary_aliases map subst in
  List.rev map1

let interp_pattern env pat_expr =
  let patvars,pats = Constrintern.intern_pattern env pat_expr in
    match pats with
	[] -> anomaly "empty pattern list"
      | [subst,patt] ->
	  (patvars,bind_aliases patvars subst patt,patt)
      | _  -> anomaly "undetected disjunctive pattern"

let rec match_args dest names constr = function
    [] -> [],names,substl names constr
  | _::q ->
      let (name,typ,body)=dest constr in
      let st={st_label=name;st_it=substl names typ} in
      let qnames=
	match name with
	    Anonymous -> assert  false
	  | Name id -> mkVar id :: names in
      let args,bnames,body = match_args dest qnames body q in
	st::args,bnames,body

let rec match_aliases names constr = function
    [] -> [],names,substl names constr
  | _::q ->
      let (name,c,typ,body)=destLetIn constr in
      let st={st_label=name;st_it=(substl names c,substl names typ)} in
      let qnames=
	match name with
	    Anonymous -> assert false
	  | Name id -> mkVar id :: names in
      let args,bnames,body = match_aliases qnames body q in
	st::args,bnames,body

let detype_ground c = Detyping.detype false [] [] c

let interp_cases info sigma env params (pat:cases_pattern_expr) hyps =
  let et,pinfo =
    match info.pm_stack with
	Per(et,pi,_,_)::_ -> et,pi
      | _ -> error "No proof per cases/induction/inversion in progress." in
  let mib,oib=Global.lookup_inductive  pinfo.per_ind in
  let num_params = pinfo.per_nparams in
  let _ =
    let expected = mib.Declarations.mind_nparams - num_params in
      if List.length params <> expected then
	errorlabstrm "suppose it is"
	  (str "Wrong number of extra arguments: " ++
	     (if expected = 0 then str "none" else int expected) ++
	     str "expected.") in
  let app_ind =
    let rind = RRef (dummy_loc,Libnames.IndRef pinfo.per_ind) in
    let rparams = List.map detype_ground pinfo.per_params in
    let rparams_rec =
      List.map
	(fun (loc,(id,_)) ->
	   RVar (loc,id)) params in
    let dum_args=
      list_tabulate (fun _ -> RHole (dummy_loc,Evd.QuestionMark (Evd.Define false)))
	oib.Declarations.mind_nrealargs in
      raw_app(dummy_loc,rind,rparams@rparams_rec@dum_args) in
  let pat_vars,aliases,patt = interp_pattern env pat in
  let inject = function
      Thesis (Plain) -> Rawterm.RSort(dummy_loc,RProp Null)
    | Thesis (For rec_occ) ->
	if not (List.mem rec_occ pat_vars) then
	  errorlabstrm "suppose it is"
	    (str "Variable " ++ Nameops.pr_id rec_occ ++
	       str " does not occur in pattern.");
	Rawterm.RSort(dummy_loc,RProp Null)
    | This (c,_) -> c in
  let term1 = rawconstr_of_hyps inject hyps raw_prop in
  let loc_ids,npatt =
    let rids=ref ([],pat_vars) in
    let npatt= deanonymize rids patt in
      List.rev (fst !rids),npatt in
  let term2 =
    RLetIn(dummy_loc,Anonymous,
	   RCast(dummy_loc,raw_of_pat npatt,
		 CastConv (DEFAULTcast,app_ind)),term1) in
  let term3=List.fold_right let_in_one_alias aliases term2 in
  let term4=List.fold_right prod_one_id loc_ids term3 in
  let term5=List.fold_right prod_one_hyp params term4 in
  let constr = understand  sigma env term5 in
  let tparams,nam4,rest4 = match_args destProd [] constr params in
  let tpatvars,nam3,rest3 = match_args destProd nam4 rest4 loc_ids in
  let taliases,nam2,rest2 = match_aliases nam3 rest3 aliases in
  let (_,pat_pat,pat_typ,rest1) = destLetIn rest2 in
  let blend st st' =
    match st'.st_it with
	Thesis nam -> {st_it=Thesis nam;st_label=st'.st_label}
      | This _ -> {st_it = This st.st_it;st_label=st.st_label} in
  let thyps = fst (match_hyps blend nam2 (Termops.pop rest1) hyps) in
    tparams,{pat_vars=tpatvars;
	     pat_aliases=taliases;
	     pat_constr=pat_pat;
	     pat_typ=pat_typ;
	     pat_pat=patt;
	     pat_expr=pat},thyps

let interp_cut interp_it sigma env cut=
  let nenv,nstat = interp_it sigma env cut.cut_stat in
    {cut with
       cut_stat=nstat;
       cut_by=interp_justification_items sigma nenv cut.cut_by}

let interp_no_bind interp_it sigma env x =
  env,interp_it sigma env x

let interp_suffices_clause sigma env (hyps,cot)=
  let (locvars,_) as res =
    match cot with
	This (c,_) ->
	  let nhyps,nc = interp_hyps_gen fst (fun x _ -> x) sigma env hyps c in
	  nhyps,This nc
      | Thesis Plain as th  -> interp_hyps sigma env hyps,th
      | Thesis (For n) -> error "\"thesis for\" is not applicable here." in
  let push_one hyp env0 =
    match hyp with
	(Hprop st | Hvar st) ->
	  match st.st_label with
	      Name id -> Environ.push_named (id,None,st.st_it) env0
	    | _ -> env in
  let nenv = List.fold_right push_one locvars env in
    nenv,res

let interp_casee sigma env = function
    Real c -> Real (understand sigma env (fst c))
  | Virtual cut -> Virtual (interp_cut (interp_no_bind (interp_statement (interp_constr true))) sigma env cut)

let abstract_one_arg = function
    (loc,(id,None)) ->
      (fun raw ->
	 RLambda (dummy_loc,Name id, Explicit,
		RHole (loc,Evd.BinderType (Name id)), raw))
  | (loc,(id,Some typ)) ->
      (fun raw ->
	 RLambda (dummy_loc,Name id, Explicit, fst typ, raw))

let rawconstr_of_fun args body =
  List.fold_right abstract_one_arg args (fst body)

let interp_fun sigma env args body =
  let constr=understand sigma env (rawconstr_of_fun args body) in
    match_args destLambda [] constr args

let rec interp_bare_proof_instr info (sigma:Evd.evar_map) (env:Environ.env) = function
    Pthus i -> Pthus (interp_bare_proof_instr info sigma env i)
  | Pthen i -> Pthen (interp_bare_proof_instr info sigma env i)
  | Phence i -> Phence (interp_bare_proof_instr info sigma env i)
  | Pcut c -> Pcut (interp_cut
		      (interp_no_bind (interp_statement
					 (interp_constr_or_thesis true)))
		      sigma env c)
  | Psuffices c ->
      Psuffices (interp_cut interp_suffices_clause sigma env c)
  | Prew (s,c) -> Prew (s,interp_cut
			  (interp_no_bind (interp_statement
			     (interp_constr_in_type (get_eq_typ info env))))
			  sigma env c)

  | Psuppose hyps -> Psuppose (interp_hyps sigma env hyps)
  | Pcase (params,pat,hyps) ->
      let tparams,tpat,thyps = interp_cases info sigma env params pat hyps in
	Pcase (tparams,tpat,thyps)
  | Ptake witl ->
      Ptake (List.map (fun c -> understand sigma env (fst c)) witl)
  | Pconsider (c,hyps) -> Pconsider (interp_constr false sigma env c,
				     interp_hyps sigma env hyps)
  | Pper (et,c) -> Pper (et,interp_casee sigma env c)
  | Pend bt -> Pend bt
  | Pescape -> Pescape
  | Passume hyps -> Passume (interp_hyps sigma env hyps)
  | Pgiven hyps -> Pgiven (interp_hyps sigma env hyps)
  | Plet hyps -> Plet (interp_hyps sigma env hyps)
  | Pclaim st -> Pclaim (interp_statement (interp_constr true) sigma env st)
  | Pfocus st -> Pfocus (interp_statement (interp_constr true) sigma env st)
  | Pdefine (id,args,body) ->
      let nargs,_,nbody = interp_fun sigma env args body in
	Pdefine (id,nargs,nbody)
  | Pcast (id,typ) ->
      Pcast(id,interp_constr true sigma env typ)

let rec interp_proof_instr info sigma env instr=
  {emph = instr.emph;
   instr = interp_bare_proof_instr info sigma env instr.instr}