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 "demodulate" -> `Demodulate
72 | IDENT "normalize" -> `Normalize
73 | IDENT "reduce" -> `Reduce
74 | IDENT "simplify" -> `Simpl
75 | IDENT "unfold"; t = OPT tactic_term -> `Unfold t
76 | IDENT "whd" -> `Whd ]
78 sequent_pattern_spec: [
82 path = OPT [SYMBOL ":" ; path = tactic_term -> path ] ->
83 (id,match path with Some p -> p | None -> Ast.UserInput) ];
84 goal_path = OPT [ SYMBOL <:unicode<vdash>>; term = tactic_term -> term ] ->
86 match goal_path, hyp_paths with
87 None, [] -> Some Ast.UserInput
89 | Some goal_path, _ -> Some goal_path
98 [ "match" ; wanted = tactic_term ;
99 sps = OPT [ "in"; sps = sequent_pattern_spec -> sps ] ->
101 | sps = sequent_pattern_spec ->
104 let wanted,hyp_paths,goal_path =
105 match wanted_and_sps with
106 wanted,None -> wanted, [], Some Ast.UserInput
107 | wanted,Some (hyp_paths,goal_path) -> wanted,hyp_paths,goal_path
109 wanted, hyp_paths, goal_path ] ->
111 None -> None,[],Some Ast.UserInput
115 [ SYMBOL ">" -> `LeftToRight
116 | SYMBOL "<" -> `RightToLeft ]
118 int: [ [ num = NUMBER -> int_of_string num ] ];
120 [ num = OPT [ num = int -> num ]; idents = OPT ident_list0 ->
121 let idents = match idents with None -> [] | Some idents -> idents in
125 using: [ [ using = OPT [ IDENT "using"; t = tactic_term -> t ] -> using ] ];
127 [ IDENT "absurd"; t = tactic_term ->
128 GrafiteAst.Absurd (loc, t)
129 | IDENT "apply"; t = tactic_term ->
130 GrafiteAst.Apply (loc, t)
131 | IDENT "applyS"; t = tactic_term ->
132 GrafiteAst.ApplyS (loc, t)
133 | IDENT "assumption" ->
134 GrafiteAst.Assumption loc
136 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
137 width = OPT [ IDENT "width"; SYMBOL "="; i = int -> i ];
138 paramodulation = OPT [ IDENT "paramodulation" ];
139 full = OPT [ IDENT "full" ] -> (* ALB *)
140 GrafiteAst.Auto (loc,depth,width,paramodulation,full)
141 | IDENT "clear"; id = IDENT ->
142 GrafiteAst.Clear (loc,id)
143 | IDENT "clearbody"; id = IDENT ->
144 GrafiteAst.ClearBody (loc,id)
145 | IDENT "change"; what = pattern_spec; "with"; t = tactic_term ->
146 GrafiteAst.Change (loc, what, t)
147 | IDENT "constructor"; n = int ->
148 GrafiteAst.Constructor (loc, n)
149 | IDENT "contradiction" ->
150 GrafiteAst.Contradiction loc
151 | IDENT "cut"; t = tactic_term; ident = OPT [ "as"; id = IDENT -> id] ->
152 GrafiteAst.Cut (loc, ident, t)
153 | IDENT "decompose"; types = OPT ident_list0; what = IDENT;
154 (num, idents) = intros_spec ->
155 let types = match types with None -> [] | Some types -> types in
156 let to_spec id = GrafiteAst.Ident id in
157 GrafiteAst.Decompose (loc, List.rev_map to_spec types, what, idents)
158 | IDENT "discriminate"; t = tactic_term ->
159 GrafiteAst.Discriminate (loc, t)
160 | IDENT "elim"; what = tactic_term; using = using;
161 (num, idents) = intros_spec ->
162 GrafiteAst.Elim (loc, what, using, num, idents)
163 | IDENT "elimType"; what = tactic_term; using = using;
164 (num, idents) = intros_spec ->
165 GrafiteAst.ElimType (loc, what, using, num, idents)
166 | IDENT "exact"; t = tactic_term ->
167 GrafiteAst.Exact (loc, t)
169 GrafiteAst.Exists loc
170 | IDENT "fail" -> GrafiteAst.Fail loc
171 | IDENT "fold"; kind = reduction_kind; t = tactic_term; p = pattern_spec ->
174 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error
175 ("the pattern cannot specify the term to replace, only its"
176 ^ " paths in the hypotheses and in the conclusion")))
178 GrafiteAst.Fold (loc, kind, t, p)
180 GrafiteAst.Fourier loc
181 | IDENT "fwd"; hyp = IDENT; idents = OPT ident_list0 ->
182 let idents = match idents with None -> [] | Some idents -> idents in
183 GrafiteAst.FwdSimpl (loc, hyp, idents)
184 | IDENT "generalize"; p=pattern_spec; id = OPT ["as" ; id = IDENT -> id] ->
185 GrafiteAst.Generalize (loc,p,id)
186 | IDENT "goal"; n = int ->
187 GrafiteAst.Goal (loc, n)
188 | IDENT "id" -> GrafiteAst.IdTac loc
189 | IDENT "injection"; t = tactic_term ->
190 GrafiteAst.Injection (loc, t)
191 | IDENT "intro"; ident = OPT IDENT ->
192 let idents = match ident with None -> [] | Some id -> [id] in
193 GrafiteAst.Intros (loc, Some 1, idents)
194 | IDENT "intros"; (num, idents) = intros_spec ->
195 GrafiteAst.Intros (loc, num, idents)
196 | IDENT "inversion"; t = tactic_term ->
197 GrafiteAst.Inversion (loc, t)
199 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
201 to_what = OPT [ "to" ; t = tactic_term_list1 -> t ];
202 ident = OPT [ IDENT "as" ; ident = IDENT -> ident ] ->
203 let to_what = match to_what with None -> [] | Some to_what -> to_what in
204 GrafiteAst.LApply (loc, depth, to_what, what, ident)
205 | IDENT "left" -> GrafiteAst.Left loc
206 | IDENT "letin"; where = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
207 GrafiteAst.LetIn (loc, t, where)
208 | kind = reduction_kind; p = pattern_spec ->
209 GrafiteAst.Reduce (loc, kind, p)
210 | IDENT "reflexivity" ->
211 GrafiteAst.Reflexivity loc
212 | IDENT "replace"; p = pattern_spec; "with"; t = tactic_term ->
213 GrafiteAst.Replace (loc, p, t)
214 | IDENT "rewrite" ; d = direction; t = tactic_term ; p = pattern_spec ->
218 (HExtlib.Localized (loc,
219 (CicNotationParser.Parse_error
220 "the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion")))
222 GrafiteAst.Rewrite (loc, d, t, p)
229 | IDENT "symmetry" ->
230 GrafiteAst.Symmetry loc
231 | IDENT "transitivity"; t = tactic_term ->
232 GrafiteAst.Transitivity (loc, t)
237 [ t1 = SELF; SYMBOL ";"; t2 = SELF ->
240 | GrafiteAst.Seq (_, l) -> l @ [ t2 ]
243 GrafiteAst.Seq (loc, ts)
246 [ tac = SELF; SYMBOL ";";
247 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
248 (GrafiteAst.Then (loc, tac, tacs))
251 [ IDENT "do"; count = int; tac = SELF; IDENT "end" ->
252 GrafiteAst.Do (loc, count, tac)
253 | IDENT "repeat"; tac = SELF; IDENT "end" -> GrafiteAst.Repeat (loc, tac)
257 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
258 GrafiteAst.First (loc, tacs)
259 | IDENT "try"; tac = SELF -> GrafiteAst.Try (loc, tac)
261 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
262 GrafiteAst.Solve (loc, tacs)
263 | LPAREN; tac = SELF; RPAREN -> tac
264 | tac = tactic -> GrafiteAst.Tactic (loc, tac)
267 punctuation_tactical:
269 [ SYMBOL "[" -> GrafiteAst.Branch loc
270 | SYMBOL "|" -> GrafiteAst.Shift loc
271 | i = LIST1 int SEP SYMBOL ","; SYMBOL ":" -> GrafiteAst.Pos (loc, i)
272 | SYMBOL "*"; SYMBOL ":" -> GrafiteAst.Wildcard loc
273 | SYMBOL "]" -> GrafiteAst.Merge loc
274 | SYMBOL ";" -> GrafiteAst.Semicolon loc
275 | SYMBOL "." -> GrafiteAst.Dot loc
280 [ IDENT "focus"; goals = LIST1 int -> GrafiteAst.Focus (loc, goals)
281 | IDENT "unfocus" -> GrafiteAst.Unfocus loc
282 | IDENT "skip" -> GrafiteAst.Skip loc
283 | tac = atomic_tactical LEVEL "loops" -> tac
287 [ [ IDENT "definition" ] -> `Definition
288 | [ IDENT "fact" ] -> `Fact
289 | [ IDENT "lemma" ] -> `Lemma
290 | [ IDENT "remark" ] -> `Remark
291 | [ IDENT "theorem" ] -> `Theorem
295 fst_name = IDENT; params = LIST0 [ arg=arg -> arg ];
296 SYMBOL ":"; fst_typ = term; SYMBOL <:unicode<def>>; OPT SYMBOL "|";
297 fst_constructors = LIST0 constructor SEP SYMBOL "|";
300 name = IDENT; SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>;
301 OPT SYMBOL "|"; constructors = LIST0 constructor SEP SYMBOL "|" ->
302 (name, true, typ, constructors) ] SEP "with" -> types
306 (fun (names, typ) acc ->
307 (List.map (fun name -> (name, typ)) names) @ acc)
310 let fst_ind_type = (fst_name, true, fst_typ, fst_constructors) in
311 let tl_ind_types = match tl with None -> [] | Some types -> types in
312 let ind_types = fst_ind_type :: tl_ind_types in
317 name = IDENT; params = LIST0 [ arg = arg -> arg ] ;
318 SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
321 coercion = [ SYMBOL ":" -> false | SYMBOL ":"; SYMBOL ">" -> true ] ;
322 ty = term -> (name,ty,coercion)
323 ] SEP SYMBOL ";"; SYMBOL "}" ->
326 (fun (names, typ) acc ->
327 (List.map (fun name -> (name, typ)) names) @ acc)
330 (params,name,typ,fields)
334 [ [ IDENT "quit" ] -> GrafiteAst.Quit loc
335 (* | [ IDENT "abort" ] -> GrafiteAst.Abort loc *)
336 (* | [ IDENT "undo" ]; steps = OPT NUMBER ->
337 GrafiteAst.Undo (loc, int_opt steps)
338 | [ IDENT "redo" ]; steps = OPT NUMBER ->
339 GrafiteAst.Redo (loc, int_opt steps) *)
340 | [ IDENT "check" ]; t = term ->
341 GrafiteAst.Check (loc, t)
342 | [ IDENT "hint" ] -> GrafiteAst.Hint loc
343 | [ IDENT "whelp"; "match" ] ; t = term ->
344 GrafiteAst.WMatch (loc,t)
345 | [ IDENT "whelp"; IDENT "instance" ] ; t = term ->
346 GrafiteAst.WInstance (loc,t)
347 | [ IDENT "whelp"; IDENT "locate" ] ; id = QSTRING ->
348 GrafiteAst.WLocate (loc,id)
349 | [ IDENT "whelp"; IDENT "elim" ] ; t = term ->
350 GrafiteAst.WElim (loc, t)
351 | [ IDENT "whelp"; IDENT "hint" ] ; t = term ->
352 GrafiteAst.WHint (loc,t)
353 | [ IDENT "print" ]; name = QSTRING -> GrafiteAst.Print (loc, name)
357 [ IDENT "id"; id = QSTRING; SYMBOL "="; uri = QSTRING ->
358 let alpha = "[a-zA-Z]" in
359 let num = "[0-9]+" in
360 let ident_cont = "\\("^alpha^"\\|"^num^"\\|_\\|\\\\\\)" in
361 let ident = "\\("^alpha^ident_cont^"*\\|_"^ident_cont^"+\\)" in
362 let rex = Str.regexp ("^"^ident^"$") in
363 if Str.string_match rex id 0 then
364 if (try ignore (UriManager.uri_of_string uri); true
365 with UriManager.IllFormedUri _ -> false)
367 LexiconAst.Ident_alias (id, uri)
370 (HExtlib.Localized (loc, CicNotationParser.Parse_error (sprintf "Not a valid uri: %s" uri)))
372 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error (
373 sprintf "Not a valid identifier: %s" id)))
374 | IDENT "symbol"; symbol = QSTRING;
375 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
376 SYMBOL "="; dsc = QSTRING ->
378 match instance with Some i -> i | None -> 0
380 LexiconAst.Symbol_alias (symbol, instance, dsc)
382 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
383 SYMBOL "="; dsc = QSTRING ->
385 match instance with Some i -> i | None -> 0
387 LexiconAst.Number_alias (instance, dsc)
391 [ l = LIST0 [ SYMBOL <:unicode<eta>> (* η *); SYMBOL "." -> () ];
393 Ast.IdentArg (List.length l, id)
397 [ IDENT "left"; IDENT "associative" -> Gramext.LeftA
398 | IDENT "right"; IDENT "associative" -> Gramext.RightA
399 | IDENT "non"; IDENT "associative" -> Gramext.NonA
403 [ "with"; IDENT "precedence"; n = NUMBER -> int_of_string n ]
406 [ dir = OPT direction; s = QSTRING;
407 assoc = OPT associativity; prec = OPT precedence;
410 [ blob = UNPARSED_AST ->
411 add_raw_attribute ~text:(sprintf "@{%s}" blob)
412 (CicNotationParser.parse_level2_ast
413 (Ulexing.from_utf8_string blob))
414 | blob = UNPARSED_META ->
415 add_raw_attribute ~text:(sprintf "${%s}" blob)
416 (CicNotationParser.parse_level2_meta
417 (Ulexing.from_utf8_string blob))
421 | None -> default_associativity
422 | Some assoc -> assoc
426 | None -> default_precedence
430 add_raw_attribute ~text:s
431 (CicNotationParser.parse_level1_pattern
432 (Ulexing.from_utf8_string s))
434 (dir, p1, assoc, prec, p2)
438 [ u = URI -> Ast.UriPattern (UriManager.uri_of_string u)
439 | id = IDENT -> Ast.VarPattern id
440 | SYMBOL "_" -> Ast.ImplicitPattern
441 | LPAREN; terms = LIST1 SELF; RPAREN ->
445 | terms -> Ast.ApplPattern terms)
449 [ s = CSYMBOL; args = LIST0 argument; SYMBOL "="; t = level3_term ->
455 IDENT "include" ; path = QSTRING ->
456 loc,path,LexiconAst.WithPreferences
457 | IDENT "include'" ; path = QSTRING ->
458 loc,path,LexiconAst.WithoutPreferences
462 IDENT "set"; n = QSTRING; v = QSTRING ->
463 GrafiteAst.Set (loc, n, v)
464 | IDENT "drop" -> GrafiteAst.Drop loc
465 | IDENT "qed" -> GrafiteAst.Qed loc
466 | IDENT "variant" ; name = IDENT; SYMBOL ":";
467 typ = term; SYMBOL <:unicode<def>> ; newname = IDENT ->
470 (`Variant,name,typ,Some (Ast.Ident (newname, None))))
471 | flavour = theorem_flavour; name = IDENT; SYMBOL ":"; typ = term;
472 body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
473 GrafiteAst.Obj (loc, Ast.Theorem (flavour, name, typ, body))
474 | flavour = theorem_flavour; name = IDENT; SYMBOL <:unicode<def>> (* ≝ *);
477 Ast.Theorem (flavour, name, Ast.Implicit, Some body))
478 | IDENT "axiom"; name = IDENT; SYMBOL ":"; typ = term ->
479 GrafiteAst.Obj (loc, Ast.Theorem (`Axiom, name, typ, None))
480 | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
481 defs = CicNotationParser.let_defs ->
484 | ((Ast.Ident (name, None), Some ty),_,_) :: _ -> name,ty
485 | ((Ast.Ident (name, None), None),_,_) :: _ ->
489 let body = Ast.Ident (name,None) in
490 GrafiteAst.Obj (loc, Ast.Theorem(`Definition, name, ty,
491 Some (Ast.LetRec (ind_kind, defs, body))))
492 | IDENT "inductive"; spec = inductive_spec ->
493 let (params, ind_types) = spec in
494 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
495 | IDENT "coinductive"; spec = inductive_spec ->
496 let (params, ind_types) = spec in
497 let ind_types = (* set inductive flags to false (coinductive) *)
498 List.map (fun (name, _, term, ctors) -> (name, false, term, ctors))
501 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
502 | IDENT "coercion" ; suri = URI ->
503 GrafiteAst.Coercion (loc, UriManager.uri_of_string suri, true)
504 | IDENT "record" ; (params,name,ty,fields) = record_spec ->
505 GrafiteAst.Obj (loc, Ast.Record (params,name,ty,fields))
506 | IDENT "default" ; what = QSTRING ; uris = LIST1 URI ->
507 let uris = List.map UriManager.uri_of_string uris in
508 GrafiteAst.Default (loc,what,uris)
511 IDENT "alias" ; spec = alias_spec ->
512 LexiconAst.Alias (loc, spec)
513 | IDENT "notation"; (dir, l1, assoc, prec, l2) = notation ->
514 LexiconAst.Notation (loc, dir, l1, assoc, prec, l2)
515 | IDENT "interpretation"; id = QSTRING;
516 (symbol, args, l3) = interpretation ->
517 LexiconAst.Interpretation (loc, id, (symbol, args), l3)
520 [ cmd = grafite_command; SYMBOL "." -> GrafiteAst.Command (loc, cmd)
521 | tac = tactical; punct = punctuation_tactical ->
522 GrafiteAst.Tactical (loc, tac, Some punct)
523 | punct = punctuation_tactical -> GrafiteAst.Tactical (loc, punct, None)
524 | mac = macro; SYMBOL "." -> GrafiteAst.Macro (loc, mac)
528 [ BEGINCOMMENT ; ex = executable ; ENDCOMMENT ->
529 GrafiteAst.Code (loc, ex)
531 GrafiteAst.Note (loc, str)
536 fun ~include_paths status -> status,LSome(GrafiteAst.Executable (loc,ex))
538 fun ~include_paths status -> status,LSome (GrafiteAst.Comment (loc, com))
539 | (iloc,fname,mode) = include_command ; SYMBOL "." ->
540 fun ~include_paths status ->
541 let path = DependenciesParser.baseuri_of_script ~include_paths fname in
543 LexiconEngine.eval_command status (LexiconAst.Include (iloc,path,mode))
547 (GrafiteAst.Executable
548 (loc,GrafiteAst.Command
549 (loc,GrafiteAst.Include (iloc,path))))
550 | scom = lexicon_command ; SYMBOL "." ->
551 fun ~include_paths status ->
552 let status = LexiconEngine.eval_command status scom in
554 | EOI -> raise End_of_file
559 let exc_located_wrapper f =
563 | Stdpp.Exc_located (_, End_of_file) -> raise End_of_file
564 | Stdpp.Exc_located (floc, Stream.Error msg) ->
565 raise (HExtlib.Localized (floc,CicNotationParser.Parse_error msg))
566 | Stdpp.Exc_located (floc, exn) ->
568 (HExtlib.Localized (floc,CicNotationParser.Parse_error (Printexc.to_string exn)))
570 let parse_statement lexbuf =
572 (fun () -> (Grammar.Entry.parse statement (Obj.magic lexbuf)))