1 (* Copyright (C) 2005, 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.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
12 * HELM is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://helm.cs.unibo.it/
30 module Ast = CicNotationPt
32 type 'a localized_option =
34 | LNone of GrafiteAst.loc
37 (CicNotationPt.term, CicNotationPt.term,
38 CicNotationPt.term GrafiteAst.reduction, CicNotationPt.obj, string)
42 include_paths:string list ->
43 LexiconEngine.status ->
44 LexiconEngine.status * ast_statement localized_option
46 let grammar = CicNotationParser.level2_ast_grammar
48 let term = CicNotationParser.term
49 let statement = Grammar.Entry.create grammar "statement"
51 let add_raw_attribute ~text t = Ast.AttributedTerm (`Raw text, t)
53 let default_precedence = 50
54 let default_associativity = Gramext.NonA
57 GLOBAL: term statement;
59 [ LPAREN; names = LIST1 IDENT SEP SYMBOL ",";
60 SYMBOL ":"; ty = term; RPAREN -> names,ty
61 | name = IDENT -> [name],Ast.Implicit
64 constructor: [ [ name = IDENT; SYMBOL ":"; typ = term -> (name, typ) ] ];
65 tactic_term: [ [ t = term LEVEL "90N" -> t ] ];
66 ident_list0: [ [ LPAREN; idents = LIST0 IDENT; RPAREN -> idents ] ];
68 [ tactic_terms = LIST1 tactic_term SEP SYMBOL "," -> tactic_terms ]
71 [ IDENT "normalize" -> `Normalize
72 | IDENT "reduce" -> `Reduce
73 | IDENT "simplify" -> `Simpl
74 | IDENT "unfold"; t = OPT tactic_term -> `Unfold t
75 | IDENT "whd" -> `Whd ]
77 sequent_pattern_spec: [
81 path = OPT [SYMBOL ":" ; path = tactic_term -> path ] ->
82 (id,match path with Some p -> p | None -> Ast.UserInput) ];
83 goal_path = OPT [ SYMBOL <:unicode<vdash>>; term = tactic_term -> term ] ->
85 match goal_path, hyp_paths with
86 None, [] -> Some Ast.UserInput
88 | Some goal_path, _ -> Some goal_path
97 [ "match" ; wanted = tactic_term ;
98 sps = OPT [ "in"; sps = sequent_pattern_spec -> sps ] ->
100 | sps = sequent_pattern_spec ->
103 let wanted,hyp_paths,goal_path =
104 match wanted_and_sps with
105 wanted,None -> wanted, [], Some Ast.UserInput
106 | wanted,Some (hyp_paths,goal_path) -> wanted,hyp_paths,goal_path
108 wanted, hyp_paths, goal_path ] ->
110 None -> None,[],Some Ast.UserInput
114 [ SYMBOL ">" -> `LeftToRight
115 | SYMBOL "<" -> `RightToLeft ]
117 int: [ [ num = NUMBER -> int_of_string num ] ];
119 [ num = OPT [ num = int -> num ]; idents = OPT ident_list0 ->
120 let idents = match idents with None -> [] | Some idents -> idents in
124 using: [ [ using = OPT [ IDENT "using"; t = tactic_term -> t ] -> using ] ];
126 [ IDENT "absurd"; t = tactic_term ->
127 GrafiteAst.Absurd (loc, t)
128 | IDENT "apply"; t = tactic_term ->
129 GrafiteAst.Apply (loc, t)
130 | IDENT "applyS"; t = tactic_term ->
131 GrafiteAst.ApplyS (loc, t)
132 | IDENT "assumption" ->
133 GrafiteAst.Assumption loc
134 | IDENT "auto"; params =
135 LIST0 [ i = IDENT -> i,"" | i = IDENT ; SYMBOL "="; v = [ v = int ->
136 string_of_int v | v = IDENT -> v ] -> i,v ] ->
137 GrafiteAst.Auto (loc,params)
138 | IDENT "clear"; ids = LIST1 IDENT ->
139 GrafiteAst.Clear (loc, ids)
140 | IDENT "clearbody"; id = IDENT ->
141 GrafiteAst.ClearBody (loc,id)
142 | IDENT "change"; what = pattern_spec; "with"; t = tactic_term ->
143 GrafiteAst.Change (loc, what, t)
144 | IDENT "constructor"; n = int ->
145 GrafiteAst.Constructor (loc, n)
146 | IDENT "contradiction" ->
147 GrafiteAst.Contradiction loc
148 | IDENT "cut"; t = tactic_term; ident = OPT [ "as"; id = IDENT -> id] ->
149 GrafiteAst.Cut (loc, ident, t)
150 | IDENT "decompose"; types = OPT ident_list0; what = OPT IDENT;
151 idents = OPT [ "as"; idents = LIST1 IDENT -> idents ] ->
152 let types = match types with None -> [] | Some types -> types in
153 let idents = match idents with None -> [] | Some idents -> idents in
154 let to_spec id = GrafiteAst.Ident id in
155 GrafiteAst.Decompose (loc, List.rev_map to_spec types, what, idents)
156 | IDENT "demodulate" -> GrafiteAst.Demodulate loc
157 | IDENT "discriminate"; t = tactic_term ->
158 GrafiteAst.Discriminate (loc, t)
159 | IDENT "elim"; what = tactic_term; using = using;
160 (num, idents) = intros_spec ->
161 GrafiteAst.Elim (loc, what, using, num, idents)
162 | IDENT "elimType"; what = tactic_term; using = using;
163 (num, idents) = intros_spec ->
164 GrafiteAst.ElimType (loc, what, using, num, idents)
165 | IDENT "exact"; t = tactic_term ->
166 GrafiteAst.Exact (loc, t)
168 GrafiteAst.Exists loc
169 | IDENT "fail" -> GrafiteAst.Fail loc
170 | IDENT "fold"; kind = reduction_kind; t = tactic_term; p = pattern_spec ->
173 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error
174 ("the pattern cannot specify the term to replace, only its"
175 ^ " paths in the hypotheses and in the conclusion")))
177 GrafiteAst.Fold (loc, kind, t, p)
179 GrafiteAst.Fourier loc
180 | IDENT "fwd"; hyp = IDENT; idents = OPT [ "as"; idents = LIST1 IDENT -> idents ] ->
181 let idents = match idents with None -> [] | Some idents -> idents in
182 GrafiteAst.FwdSimpl (loc, hyp, idents)
183 | IDENT "generalize"; p=pattern_spec; id = OPT ["as" ; id = IDENT -> id] ->
184 GrafiteAst.Generalize (loc,p,id)
185 | IDENT "goal"; n = int ->
186 GrafiteAst.Goal (loc, n)
187 | IDENT "id" -> GrafiteAst.IdTac loc
188 | IDENT "injection"; t = tactic_term ->
189 GrafiteAst.Injection (loc, t)
190 | IDENT "intro"; ident = OPT IDENT ->
191 let idents = match ident with None -> [] | Some id -> [id] in
192 GrafiteAst.Intros (loc, Some 1, idents)
193 | IDENT "intros"; (num, idents) = intros_spec ->
194 GrafiteAst.Intros (loc, num, idents)
195 | IDENT "inversion"; t = tactic_term ->
196 GrafiteAst.Inversion (loc, t)
198 linear = OPT [ IDENT "linear" ];
199 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
201 to_what = OPT [ "to" ; t = tactic_term_list1 -> t ];
202 ident = OPT [ "as" ; ident = IDENT -> ident ] ->
203 let linear = match linear with None -> false | Some _ -> true in
204 let to_what = match to_what with None -> [] | Some to_what -> to_what in
205 GrafiteAst.LApply (loc, linear, depth, to_what, what, ident)
206 | IDENT "left" -> GrafiteAst.Left loc
207 | IDENT "letin"; where = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
208 GrafiteAst.LetIn (loc, t, where)
209 | kind = reduction_kind; p = pattern_spec ->
210 GrafiteAst.Reduce (loc, kind, p)
211 | IDENT "reflexivity" ->
212 GrafiteAst.Reflexivity loc
213 | IDENT "replace"; p = pattern_spec; "with"; t = tactic_term ->
214 GrafiteAst.Replace (loc, p, t)
215 | IDENT "rewrite" ; d = direction; t = tactic_term ; p = pattern_spec ->
219 (HExtlib.Localized (loc,
220 (CicNotationParser.Parse_error
221 "the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion")))
223 GrafiteAst.Rewrite (loc, d, t, p)
230 | IDENT "symmetry" ->
231 GrafiteAst.Symmetry loc
232 | IDENT "transitivity"; t = tactic_term ->
233 GrafiteAst.Transitivity (loc, t)
234 (* Produzioni Aggiunte *)
235 | IDENT "assume" ; id = IDENT ; SYMBOL ":" ; t = tactic_term ->
236 GrafiteAst.Assume (loc, id, t)
237 | IDENT "suppose" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
238 GrafiteAst.Suppose (loc, t, id)
239 | IDENT "by" ; t = tactic_term ; IDENT "we" ; IDENT "proved" ; ty = tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
240 GrafiteAst.By_term_we_proved (loc, t, ty, id)
241 | IDENT "we" ; IDENT "need" ; "to" ; IDENT "prove" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
242 GrafiteAst.We_need_to_prove (loc, t, id)
243 | IDENT "by" ; t = tactic_term ; IDENT "done" ->
244 GrafiteAst.Bydone (loc, t)
249 [ t1 = SELF; SYMBOL ";"; t2 = SELF ->
252 | GrafiteAst.Seq (_, l) -> l @ [ t2 ]
255 GrafiteAst.Seq (loc, ts)
258 [ tac = SELF; SYMBOL ";";
259 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
260 (GrafiteAst.Then (loc, tac, tacs))
263 [ IDENT "do"; count = int; tac = SELF; IDENT "end" ->
264 GrafiteAst.Do (loc, count, tac)
265 | IDENT "repeat"; tac = SELF; IDENT "end" -> GrafiteAst.Repeat (loc, tac)
269 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
270 GrafiteAst.First (loc, tacs)
271 | IDENT "try"; tac = SELF -> GrafiteAst.Try (loc, tac)
273 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
274 GrafiteAst.Solve (loc, tacs)
275 | LPAREN; tac = SELF; RPAREN -> tac
276 | tac = tactic -> GrafiteAst.Tactic (loc, tac)
279 punctuation_tactical:
281 [ SYMBOL "[" -> GrafiteAst.Branch loc
282 | SYMBOL "|" -> GrafiteAst.Shift loc
283 | i = LIST1 int SEP SYMBOL ","; SYMBOL ":" -> GrafiteAst.Pos (loc, i)
284 | SYMBOL "*"; SYMBOL ":" -> GrafiteAst.Wildcard loc
285 | SYMBOL "]" -> GrafiteAst.Merge loc
286 | SYMBOL ";" -> GrafiteAst.Semicolon loc
287 | SYMBOL "." -> GrafiteAst.Dot loc
292 [ IDENT "focus"; goals = LIST1 int -> GrafiteAst.Focus (loc, goals)
293 | IDENT "unfocus" -> GrafiteAst.Unfocus loc
294 | IDENT "skip" -> GrafiteAst.Skip loc
295 | tac = atomic_tactical LEVEL "loops" -> tac
299 [ [ IDENT "definition" ] -> `Definition
300 | [ IDENT "fact" ] -> `Fact
301 | [ IDENT "lemma" ] -> `Lemma
302 | [ IDENT "remark" ] -> `Remark
303 | [ IDENT "theorem" ] -> `Theorem
307 fst_name = IDENT; params = LIST0 [ arg=arg -> arg ];
308 SYMBOL ":"; fst_typ = term; SYMBOL <:unicode<def>>; OPT SYMBOL "|";
309 fst_constructors = LIST0 constructor SEP SYMBOL "|";
312 name = IDENT; SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>;
313 OPT SYMBOL "|"; constructors = LIST0 constructor SEP SYMBOL "|" ->
314 (name, true, typ, constructors) ] SEP "with" -> types
318 (fun (names, typ) acc ->
319 (List.map (fun name -> (name, typ)) names) @ acc)
322 let fst_ind_type = (fst_name, true, fst_typ, fst_constructors) in
323 let tl_ind_types = match tl with None -> [] | Some types -> types in
324 let ind_types = fst_ind_type :: tl_ind_types in
329 name = IDENT; params = LIST0 [ arg = arg -> arg ] ;
330 SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
333 coercion = [ SYMBOL ":" -> false | SYMBOL ":"; SYMBOL ">" -> true ] ;
334 ty = term -> (name,ty,coercion)
335 ] SEP SYMBOL ";"; SYMBOL "}" ->
338 (fun (names, typ) acc ->
339 (List.map (fun name -> (name, typ)) names) @ acc)
342 (params,name,typ,fields)
346 [ [ IDENT "check" ]; t = term ->
347 GrafiteAst.Check (loc, t)
348 | [ IDENT "hint" ] -> GrafiteAst.Hint loc
349 | [ IDENT "whelp"; "match" ] ; t = term ->
350 GrafiteAst.WMatch (loc,t)
351 | [ IDENT "whelp"; IDENT "instance" ] ; t = term ->
352 GrafiteAst.WInstance (loc,t)
353 | [ IDENT "whelp"; IDENT "locate" ] ; id = QSTRING ->
354 GrafiteAst.WLocate (loc,id)
355 | [ IDENT "whelp"; IDENT "elim" ] ; t = term ->
356 GrafiteAst.WElim (loc, t)
357 | [ IDENT "whelp"; IDENT "hint" ] ; t = term ->
358 GrafiteAst.WHint (loc,t)
362 [ IDENT "id"; id = QSTRING; SYMBOL "="; uri = QSTRING ->
363 let alpha = "[a-zA-Z]" in
364 let num = "[0-9]+" in
365 let ident_cont = "\\("^alpha^"\\|"^num^"\\|_\\|\\\\\\)" in
366 let ident = "\\("^alpha^ident_cont^"*\\|_"^ident_cont^"+\\)" in
367 let rex = Str.regexp ("^"^ident^"$") in
368 if Str.string_match rex id 0 then
369 if (try ignore (UriManager.uri_of_string uri); true
370 with UriManager.IllFormedUri _ -> false)
372 LexiconAst.Ident_alias (id, uri)
375 (HExtlib.Localized (loc, CicNotationParser.Parse_error (sprintf "Not a valid uri: %s" uri)))
377 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error (
378 sprintf "Not a valid identifier: %s" id)))
379 | IDENT "symbol"; symbol = QSTRING;
380 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
381 SYMBOL "="; dsc = QSTRING ->
383 match instance with Some i -> i | None -> 0
385 LexiconAst.Symbol_alias (symbol, instance, dsc)
387 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
388 SYMBOL "="; dsc = QSTRING ->
390 match instance with Some i -> i | None -> 0
392 LexiconAst.Number_alias (instance, dsc)
396 [ l = LIST0 [ SYMBOL <:unicode<eta>> (* η *); SYMBOL "." -> () ];
398 Ast.IdentArg (List.length l, id)
402 [ IDENT "left"; IDENT "associative" -> Gramext.LeftA
403 | IDENT "right"; IDENT "associative" -> Gramext.RightA
404 | IDENT "non"; IDENT "associative" -> Gramext.NonA
408 [ "with"; IDENT "precedence"; n = NUMBER -> int_of_string n ]
411 [ dir = OPT direction; s = QSTRING;
412 assoc = OPT associativity; prec = OPT precedence;
415 [ blob = UNPARSED_AST ->
416 add_raw_attribute ~text:(sprintf "@{%s}" blob)
417 (CicNotationParser.parse_level2_ast
418 (Ulexing.from_utf8_string blob))
419 | blob = UNPARSED_META ->
420 add_raw_attribute ~text:(sprintf "${%s}" blob)
421 (CicNotationParser.parse_level2_meta
422 (Ulexing.from_utf8_string blob))
426 | None -> default_associativity
427 | Some assoc -> assoc
431 | None -> default_precedence
435 add_raw_attribute ~text:s
436 (CicNotationParser.parse_level1_pattern
437 (Ulexing.from_utf8_string s))
439 (dir, p1, assoc, prec, p2)
443 [ u = URI -> Ast.UriPattern (UriManager.uri_of_string u)
444 | id = IDENT -> Ast.VarPattern id
445 | SYMBOL "_" -> Ast.ImplicitPattern
446 | LPAREN; terms = LIST1 SELF; RPAREN ->
450 | terms -> Ast.ApplPattern terms)
454 [ s = CSYMBOL; args = LIST0 argument; SYMBOL "="; t = level3_term ->
460 IDENT "include" ; path = QSTRING ->
461 loc,path,LexiconAst.WithPreferences
462 | IDENT "include'" ; path = QSTRING ->
463 loc,path,LexiconAst.WithoutPreferences
467 IDENT "set"; n = QSTRING; v = QSTRING ->
468 GrafiteAst.Set (loc, n, v)
469 | IDENT "drop" -> GrafiteAst.Drop loc
470 | IDENT "qed" -> GrafiteAst.Qed loc
471 | IDENT "variant" ; name = IDENT; SYMBOL ":";
472 typ = term; SYMBOL <:unicode<def>> ; newname = IDENT ->
475 (`Variant,name,typ,Some (Ast.Ident (newname, None))))
476 | flavour = theorem_flavour; name = IDENT; SYMBOL ":"; typ = term;
477 body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
478 GrafiteAst.Obj (loc, Ast.Theorem (flavour, name, typ, body))
479 | flavour = theorem_flavour; name = IDENT; SYMBOL <:unicode<def>> (* ≝ *);
482 Ast.Theorem (flavour, name, Ast.Implicit, Some body))
483 | IDENT "axiom"; name = IDENT; SYMBOL ":"; typ = term ->
484 GrafiteAst.Obj (loc, Ast.Theorem (`Axiom, name, typ, None))
485 | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
486 defs = CicNotationParser.let_defs ->
489 | ((Ast.Ident (name, None), Some ty),_,_) :: _ -> name,ty
490 | ((Ast.Ident (name, None), None),_,_) :: _ ->
494 let body = Ast.Ident (name,None) in
495 GrafiteAst.Obj (loc, Ast.Theorem(`Definition, name, ty,
496 Some (Ast.LetRec (ind_kind, defs, body))))
497 | IDENT "inductive"; spec = inductive_spec ->
498 let (params, ind_types) = spec in
499 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
500 | IDENT "coinductive"; spec = inductive_spec ->
501 let (params, ind_types) = spec in
502 let ind_types = (* set inductive flags to false (coinductive) *)
503 List.map (fun (name, _, term, ctors) -> (name, false, term, ctors))
506 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
507 | IDENT "coercion" ; suri = URI ->
508 GrafiteAst.Coercion (loc, UriManager.uri_of_string suri, true)
509 | IDENT "record" ; (params,name,ty,fields) = record_spec ->
510 GrafiteAst.Obj (loc, Ast.Record (params,name,ty,fields))
511 | IDENT "default" ; what = QSTRING ; uris = LIST1 URI ->
512 let uris = List.map UriManager.uri_of_string uris in
513 GrafiteAst.Default (loc,what,uris)
516 IDENT "alias" ; spec = alias_spec ->
517 LexiconAst.Alias (loc, spec)
518 | IDENT "notation"; (dir, l1, assoc, prec, l2) = notation ->
519 LexiconAst.Notation (loc, dir, l1, assoc, prec, l2)
520 | IDENT "interpretation"; id = QSTRING;
521 (symbol, args, l3) = interpretation ->
522 LexiconAst.Interpretation (loc, id, (symbol, args), l3)
525 [ cmd = grafite_command; SYMBOL "." -> GrafiteAst.Command (loc, cmd)
526 | tac = tactical; punct = punctuation_tactical ->
527 GrafiteAst.Tactical (loc, tac, Some punct)
528 | punct = punctuation_tactical -> GrafiteAst.Tactical (loc, punct, None)
529 | mac = macro; SYMBOL "." -> GrafiteAst.Macro (loc, mac)
533 [ BEGINCOMMENT ; ex = executable ; ENDCOMMENT ->
534 GrafiteAst.Code (loc, ex)
536 GrafiteAst.Note (loc, str)
541 fun ~include_paths status -> status,LSome(GrafiteAst.Executable (loc,ex))
543 fun ~include_paths status -> status,LSome (GrafiteAst.Comment (loc, com))
544 | (iloc,fname,mode) = include_command ; SYMBOL "." ->
545 fun ~include_paths status ->
547 DependenciesParser.baseuri_of_script ~include_paths fname
550 LexiconEngine.eval_command status
551 (LexiconAst.Include (iloc,buri,mode,fullpath))
555 (GrafiteAst.Executable
556 (loc,GrafiteAst.Command
557 (loc,GrafiteAst.Include (iloc,buri))))
558 | scom = lexicon_command ; SYMBOL "." ->
559 fun ~include_paths status ->
560 let status = LexiconEngine.eval_command status scom in
562 | EOI -> raise End_of_file
567 let exc_located_wrapper f =
571 | Stdpp.Exc_located (_, End_of_file) -> raise End_of_file
572 | Stdpp.Exc_located (floc, Stream.Error msg) ->
573 raise (HExtlib.Localized (floc,CicNotationParser.Parse_error msg))
574 | Stdpp.Exc_located (floc, exn) ->
576 (HExtlib.Localized (floc,CicNotationParser.Parse_error (Printexc.to_string exn)))
578 let parse_statement lexbuf =
580 (fun () -> (Grammar.Entry.parse statement (Obj.magic lexbuf)))