summaryrefslogtreecommitdiff
path: root/parsing/g_tacticnew.ml4
blob: 643be98d4a198d4062cc797e22b710fecf120410 (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
(************************************************************************)
(*  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        *)
(************************************************************************)

(* $Id: g_tacticnew.ml4,v 1.35.2.6 2005/01/15 14:56:53 herbelin Exp $ *)

open Pp
open Ast
open Pcoq
open Util
open Tacexpr
open Rawterm
open Genarg

let compute = Cbv all_flags

let tactic_kw =
  [ "->"; "<-" ]
let _ = 
  if not !Options.v7 then
    List.iter (fun s -> Lexer.add_token("",s)) tactic_kw

(* Hack to parse "(x:=t)" as an explicit argument without conflicts with the *)
(* admissible notation "(x t)" *)
let lpar_id_coloneq =
  Gram.Entry.of_parser "lpar_id_coloneq"
    (fun strm ->
      match Stream.npeek 1 strm with
        | [("","(")] ->
            (match Stream.npeek 2 strm with
              | [_; ("IDENT",s)] ->
                  (match Stream.npeek 3 strm with
	            | [_; _; ("", ":=")] ->
                        Stream.junk strm; Stream.junk strm; Stream.junk strm;
                        Names.id_of_string s
	            | _ -> raise Stream.Failure)
	      | _ -> raise Stream.Failure)
	| _ -> raise Stream.Failure)

(* idem for (x:=t) and (1:=t) *)
let test_lpar_idnum_coloneq =
  Gram.Entry.of_parser "test_lpar_idnum_coloneq"
    (fun strm ->
      match Stream.npeek 1 strm with
        | [("","(")] ->
            (match Stream.npeek 2 strm with
              | [_; (("IDENT"|"INT"),_)] ->
                  (match Stream.npeek 3 strm with
                    | [_; _; ("", ":=")] -> ()
                    | _ -> raise Stream.Failure)
              | _ -> raise Stream.Failure)
        | _ -> raise Stream.Failure)

(* idem for (x:t) *)
let lpar_id_colon =
  Gram.Entry.of_parser "lpar_id_colon"
    (fun strm ->
      match Stream.npeek 1 strm with
        | [("","(")] ->
            (match Stream.npeek 2 strm with
              | [_; ("IDENT",id)] ->
                  (match Stream.npeek 3 strm with
                    | [_; _; ("", ":")] ->
                        Stream.junk strm; Stream.junk strm; Stream.junk strm;
                        Names.id_of_string id
                    | _ -> raise Stream.Failure)
              | _ -> raise Stream.Failure)
        | _ -> raise Stream.Failure)

open Constr
open Prim
open Tactic

let mk_fix_tac (loc,id,bl,ann,ty) =
  let n =
    match bl,ann with
        [([_],_)], None -> 1
      | _, Some x ->
          let ids = List.map snd (List.flatten (List.map fst bl)) in
          (try list_index (snd x) ids
          with Not_found -> error "no such fix variable")
      | _ -> error "cannot guess decreasing argument of fix" in
  (id,n,Topconstr.CProdN(loc,bl,ty))

let mk_cofix_tac (loc,id,bl,ann,ty) =
  let _ = option_app (fun (aloc,_) ->
    Util.user_err_loc
      (aloc,"Constr:mk_cofix_tac",
       Pp.str"Annotation forbidden in cofix expression")) ann in
  (id,Topconstr.CProdN(loc,bl,ty))

(* Functions overloaded by quotifier *)
let induction_arg_of_constr c =
  try ElimOnIdent (Topconstr.constr_loc c,snd(coerce_to_id c))
  with _ -> ElimOnConstr c

let local_compute = [FBeta;FIota;FDeltaBut [];FZeta]

let error_oldelim _ = error "OldElim no longer supported"

let join_to_constr loc c2 = (fst loc), snd (Topconstr.constr_loc c2)

(* Auxiliary grammar rules *)

if not !Options.v7 then
GEXTEND Gram
  GLOBAL: simple_tactic constr_with_bindings quantified_hypothesis
  bindings red_expr int_or_var open_constr castedopenconstr 
  simple_intropattern;

  int_or_var:
    [ [ n = integer  -> Genarg.ArgArg n
      | id = identref -> Genarg.ArgVar id ] ]
  ;
  (* An identifier or a quotation meta-variable *)
  id_or_meta:
    [ [ id = identref -> AI id 

      (* This is used in quotations *)
      | id = METAIDENT -> MetaId (loc,id) ] ]
  ;
  (* A number or a quotation meta-variable *)
  num_or_meta:
    [ [ n = integer -> AI n
      |	id = METAIDENT -> MetaId (loc,id)
      ] ]
  ;
  open_constr:
    [ [ c = constr -> ((),c) ] ]
   ;
  castedopenconstr:
    [ [ c = constr -> ((),c) ] ]
  ;
  induction_arg:
    [ [ n = natural -> ElimOnAnonHyp n
      | c = constr -> induction_arg_of_constr c
    ] ]
  ;
  quantified_hypothesis:
    [ [ id = base_ident -> NamedHyp id
      | n = natural -> AnonHyp n ] ]
  ;
  conversion:
    [ [ c = constr -> (None, c)
      | c1 = constr; "with"; c2 = constr -> (Some ([],c1), c2)
      | c1 = constr; "at"; nl = LIST1 integer; "with"; c2 = constr ->
	  (Some (nl,c1), c2) ] ]
  ;
  occurrences:
    [ [ "at"; nl = LIST1 integer -> nl
      | -> [] ] ]
  ;
  pattern_occ:
    [ [ c = constr; nl = occurrences -> (nl,c) ] ]
  ;
  unfold_occ:
    [ [ c = global; nl = occurrences -> (nl,c) ] ]
  ;
  intropatterns:
    [ [ l = LIST0 simple_intropattern -> l ]]
  ;
  simple_intropattern:
    [ [ "["; tc = LIST1 intropatterns SEP "|" ; "]" -> IntroOrAndPattern tc
      | "("; tc = LIST1 simple_intropattern SEP "," ; ")" -> IntroOrAndPattern [tc]
      | "_" -> IntroWildcard
      | id = base_ident -> IntroIdentifier id
      ] ]
  ;
  simple_binding:
    [ [ "("; id = base_ident; ":="; c = lconstr; ")" -> (loc, NamedHyp id, c)
      | "("; n = natural; ":="; c = lconstr; ")" -> (loc, AnonHyp n, c) ] ]
  ;
  bindings:
    [ [ test_lpar_idnum_coloneq; bl = LIST1 simple_binding ->
          ExplicitBindings bl
      | bl = LIST1 constr -> ImplicitBindings bl ] ]
  ;
  constr_with_bindings:
    [ [ c = constr; l = with_bindings -> (c, l) ] ]
  ;
  with_bindings:
    [ [ "with"; bl = bindings -> bl | -> NoBindings ] ]
  ;
  red_flag:
    [ [ IDENT "beta" -> FBeta
      | IDENT "delta" -> FDeltaBut []
      | IDENT "iota" -> FIota
      | IDENT "zeta" -> FZeta
      | IDENT "delta"; "["; idl = LIST1 global; "]" -> FConst idl
      | IDENT "delta"; "-"; "["; idl = LIST1 global; "]" -> FDeltaBut idl
    ] ]
  ;
  red_tactic:
    [ [ IDENT "red" -> Red false
      | IDENT "hnf" -> Hnf
      | IDENT "simpl"; po = OPT pattern_occ -> Simpl po
      | IDENT "cbv"; s = LIST1 red_flag -> Cbv (make_red_flag s)
      | IDENT "lazy"; s = LIST1 red_flag -> Lazy (make_red_flag s)
      | IDENT "compute" -> compute
      | IDENT "unfold"; ul = LIST1 unfold_occ SEP "," -> Unfold ul
      | IDENT "fold"; cl = LIST1 constr -> Fold cl
      | IDENT "pattern"; pl = LIST1 pattern_occ SEP","-> Pattern pl ] ]
  ;
  (* This is [red_tactic] including possible extensions *)
  red_expr:
    [ [ IDENT "red" -> Red false
      | IDENT "hnf" -> Hnf
      | IDENT "simpl"; po = OPT pattern_occ -> Simpl po
      | IDENT "cbv"; s = LIST1 red_flag -> Cbv (make_red_flag s)
      | IDENT "lazy"; s = LIST1 red_flag -> Lazy (make_red_flag s)
      | IDENT "compute" -> compute
      | IDENT "unfold"; ul = LIST1 unfold_occ -> Unfold ul
      | IDENT "fold"; cl = LIST1 constr -> Fold cl
      | IDENT "pattern"; pl = LIST1 pattern_occ -> Pattern pl
      | s = IDENT; OPT [ (* compat V8.0pl1 *) constr ] -> ExtraRedExpr s ] ]
  ;
  hypident:
    [ [ id = id_or_meta -> id,(InHyp,ref None)
      | "("; IDENT "type"; IDENT "of"; id = id_or_meta; ")" ->
          id,(InHypTypeOnly,ref None)
      | "("; IDENT "value"; IDENT "of"; id = id_or_meta; ")" ->
          id,(InHypValueOnly,ref None)
    ] ]
  ;
  hypident_occ:
    [ [ (id,l)=hypident; occs=occurrences -> (id,occs,l) ] ]
  ;
  clause:
    [ [ "in"; "*"; occs=occurrences ->
        {onhyps=None;onconcl=true;concl_occs=occs}
      | "in"; "*"; "|-"; (b,occs)=concl_occ ->
          {onhyps=None; onconcl=b; concl_occs=occs}
      | "in"; hl=LIST0 hypident_occ SEP","; "|-"; (b,occs)=concl_occ ->
          {onhyps=Some hl; onconcl=b; concl_occs=occs}
      | "in"; hl=LIST0 hypident_occ SEP"," ->
          {onhyps=Some hl; onconcl=false; concl_occs=[]}
      | -> {onhyps=Some[];onconcl=true; concl_occs=[]} ] ]
  ;
  concl_occ:
    [ [ "*"; occs = occurrences -> (true,occs)
      | -> (false, []) ] ]
  ;
  simple_clause:
    [ [ "in"; idl = LIST1 id_or_meta -> idl
      | -> [] ] ]
  ;
  fixdecl:
    [ [ "("; id = base_ident; bl=LIST0 Constr.binder; ann=fixannot;
        ":"; ty=lconstr; ")" -> (loc,id,bl,ann,ty) ] ]
  ;
  fixannot:
    [ [ "{"; IDENT "struct"; id=name; "}" -> Some id
      | -> None ] ]
  ;
  hintbases:
    [ [ "with"; "*" -> None
      | "with"; l = LIST1 IDENT -> Some l
      | -> Some [] ] ]
  ;
  eliminator:
    [ [ "using"; el = constr_with_bindings -> el ] ]
  ;
  with_names:
    [ [ "as"; ipat = simple_intropattern -> Some ipat | -> None ] ]
  ;
  simple_tactic:
    [ [ 
      (* Basic tactics *)
        IDENT "intros"; IDENT "until"; id = quantified_hypothesis -> 
	  TacIntrosUntil id
      | IDENT "intros"; pl = intropatterns -> TacIntroPattern pl
      | IDENT "intro"; id = base_ident; IDENT "after"; id2 = identref ->
	  TacIntroMove (Some id, Some id2)
      | IDENT "intro"; IDENT "after"; id2 = identref ->
	  TacIntroMove (None, Some id2)
      | IDENT "intro"; id = base_ident -> TacIntroMove (Some id, None)
      | IDENT "intro" -> TacIntroMove (None, None)

      | IDENT "assumption" -> TacAssumption
      | IDENT "exact"; c = constr -> TacExact c

      | IDENT "apply"; cl = constr_with_bindings -> TacApply cl
      | IDENT "elim"; cl = constr_with_bindings; el = OPT eliminator ->
          TacElim (cl,el)
      | IDENT "elimtype"; c = constr -> TacElimType c
      | IDENT "case"; cl = constr_with_bindings -> TacCase cl
      | IDENT "casetype"; c = constr -> TacCaseType c
      | "fix"; n = natural -> TacFix (None,n)
      | "fix"; id = base_ident; n = natural -> TacFix (Some id,n)
      | "fix"; id = base_ident; n = natural; "with"; fd = LIST1 fixdecl ->
	  TacMutualFix (id,n,List.map mk_fix_tac fd)
      | "cofix" -> TacCofix None
      | "cofix"; id = base_ident -> TacCofix (Some id)
      | "cofix"; id = base_ident; "with"; fd = LIST1 fixdecl ->
	  TacMutualCofix (id,List.map mk_cofix_tac fd)

      | IDENT "cut"; c = constr -> TacCut c
      | IDENT "assert"; id = lpar_id_colon; t = lconstr; ")" ->
          TacTrueCut (Names.Name id,t)
      | IDENT "assert"; id = lpar_id_coloneq; b = lconstr; ")" ->
          TacForward (false,Names.Name id,b)
      | IDENT "assert"; c = constr -> TacTrueCut (Names.Anonymous,c)
      | IDENT "pose"; id = lpar_id_coloneq; b = lconstr; ")" ->
	  TacForward (true,Names.Name id,b)
      | IDENT "pose"; b = constr -> TacForward (true,Names.Anonymous,b)
      | IDENT "generalize"; lc = LIST1 constr -> TacGeneralize lc
      | IDENT "generalize"; IDENT "dependent"; c = constr ->
          TacGeneralizeDep c
      | IDENT "set"; id = lpar_id_coloneq; c = lconstr; ")";
          p = clause -> TacLetTac (Names.Name id,c,p)
      | IDENT "set"; c = constr; p = clause ->
          TacLetTac (Names.Anonymous,c,p)
      | IDENT "instantiate"; "("; n = natural; ":="; c = lconstr; ")";
	  cls = clause ->
            TacInstantiate (n,c,cls)
	    
      | IDENT "specialize"; n = OPT natural; lcb = constr_with_bindings ->
	  TacSpecialize (n,lcb)
      | IDENT "lapply"; c = constr -> TacLApply c

      (* Derived basic tactics *)
      | IDENT "simple"; IDENT"induction"; h = quantified_hypothesis ->
          TacSimpleInduction (h,ref [])
      | IDENT "induction"; c = induction_arg; ids = with_names; 
	  el = OPT eliminator -> TacNewInduction (c,el,(ids,ref []))
      | IDENT "double"; IDENT "induction"; h1 = quantified_hypothesis;
	  h2 = quantified_hypothesis -> TacDoubleInduction (h1,h2)
      | IDENT "simple"; IDENT"destruct"; h = quantified_hypothesis ->
          TacSimpleDestruct h
      | IDENT "destruct"; c = induction_arg; ids = with_names; 
	  el = OPT eliminator -> TacNewDestruct (c,el,(ids,ref []))
      | IDENT "decompose"; IDENT "record" ; c = constr -> TacDecomposeAnd c
      | IDENT "decompose"; IDENT "sum"; c = constr -> TacDecomposeOr c
      | IDENT "decompose"; "["; l = LIST1 global; "]"; c = constr
        -> TacDecompose (l,c)

      (* Automation tactic *)
      | IDENT "trivial"; db = hintbases -> TacTrivial db
      | IDENT "auto"; n = OPT natural; db = hintbases -> TacAuto (n, db)

(* Obsolete since V8.0
      | IDENT "autotdb"; n = OPT natural -> TacAutoTDB n
      | IDENT "cdhyp"; id = identref -> TacDestructHyp (true,id)
      | IDENT "dhyp";  id = identref -> TacDestructHyp (false,id)
      | IDENT "dconcl"  -> TacDestructConcl
      | IDENT "superauto"; l = autoargs -> TacSuperAuto l
*)
      | IDENT "auto"; n = OPT natural; IDENT "decomp"; p = OPT natural ->
	  TacDAuto (n, p)

      (* Context management *)
      | IDENT "clear"; l = LIST1 id_or_meta -> TacClear l
      | IDENT "clearbody"; l = LIST1 id_or_meta -> TacClearBody l
      | IDENT "move"; id1 = id_or_meta; IDENT "after"; id2 = id_or_meta -> 
	  TacMove (true,id1,id2)
      | IDENT "rename"; id1 = id_or_meta; IDENT "into"; id2 = id_or_meta -> 
	  TacRename (id1,id2)

      (* Constructors *)
      | IDENT "left"; bl = with_bindings -> TacLeft bl
      | IDENT "right"; bl = with_bindings -> TacRight bl
      | IDENT "split"; bl = with_bindings -> TacSplit (false,bl)
      | "exists"; bl = bindings -> TacSplit (true,bl)
      | "exists" -> TacSplit (true,NoBindings)
      | IDENT "constructor"; n = num_or_meta; l = with_bindings ->
	  TacConstructor (n,l)
      | IDENT "constructor"; t = OPT tactic -> TacAnyConstructor t

      (* Equivalence relations *)
      | IDENT "reflexivity" -> TacReflexivity
      | IDENT "symmetry"; cls = clause -> TacSymmetry cls
      | IDENT "transitivity"; c = constr -> TacTransitivity c

      (* Equality and inversion *)
      | IDENT "dependent"; k =
	  [ IDENT "simple"; IDENT "inversion" -> SimpleInversion
	  | IDENT "inversion" -> FullInversion
	  | IDENT "inversion_clear" -> FullInversionClear ];
	  hyp = quantified_hypothesis; 
	  ids = with_names; co = OPT ["with"; c = constr -> c] ->
	    TacInversion (DepInversion (k,co,ids),hyp)
      | IDENT "simple"; IDENT "inversion";
	  hyp = quantified_hypothesis; ids = with_names; cl = simple_clause ->
	    TacInversion (NonDepInversion (SimpleInversion, cl, ids), hyp)
      | IDENT "inversion"; 
	  hyp = quantified_hypothesis; ids = with_names; cl = simple_clause ->
	    TacInversion (NonDepInversion (FullInversion, cl, ids), hyp)
      | IDENT "inversion_clear"; 
	  hyp = quantified_hypothesis; ids = with_names; cl = simple_clause ->
	    TacInversion (NonDepInversion (FullInversionClear, cl, ids), hyp)
      | IDENT "inversion"; hyp = quantified_hypothesis; 
	  "using"; c = constr; cl = simple_clause ->
	    TacInversion (InversionUsing (c,cl), hyp)

      (* Conversion *)
      | r = red_tactic; cl = clause -> TacReduce (r, cl)
      (* Change ne doit pas s'appliquer dans un Definition t := Eval ... *)
      | IDENT "change"; (oc,c) = conversion; cl = clause -> TacChange (oc,c,cl)
    ] ]
  ;
END;;