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 Token.flocation
37 include_paths:string list ->
38 LexiconEngine.status ->
39 LexiconEngine.status *
40 (CicNotationPt.term, CicNotationPt.term,
41 CicNotationPt.term GrafiteAst.reduction, CicNotationPt.obj, string)
42 GrafiteAst.statement localized_option
44 let grammar = CicNotationParser.level2_ast_grammar
46 let term = CicNotationParser.term
47 let statement = Grammar.Entry.create grammar "statement"
49 let add_raw_attribute ~text t = Ast.AttributedTerm (`Raw text, t)
51 let default_precedence = 50
52 let default_associativity = Gramext.NonA
55 GLOBAL: term statement;
57 [ LPAREN; names = LIST1 IDENT SEP SYMBOL ",";
58 SYMBOL ":"; ty = term; RPAREN -> names,ty
59 | name = IDENT -> [name],Ast.Implicit
62 constructor: [ [ name = IDENT; SYMBOL ":"; typ = term -> (name, typ) ] ];
63 tactic_term: [ [ t = term LEVEL "90N" -> t ] ];
64 ident_list0: [ [ LPAREN; idents = LIST0 IDENT; RPAREN -> idents ] ];
66 [ tactic_terms = LIST1 tactic_term SEP SYMBOL "," -> tactic_terms ]
69 [ IDENT "demodulate" -> `Demodulate
70 | IDENT "normalize" -> `Normalize
71 | IDENT "reduce" -> `Reduce
72 | IDENT "simplify" -> `Simpl
73 | IDENT "unfold"; t = OPT term -> `Unfold t
74 | IDENT "whd" -> `Whd ]
76 sequent_pattern_spec: [
80 path = OPT [SYMBOL ":" ; path = tactic_term -> path ] ->
81 (id,match path with Some p -> p | None -> Ast.UserInput) ];
82 goal_path = OPT [ SYMBOL <:unicode<vdash>>; term = tactic_term -> term ] ->
84 match goal_path, hyp_paths with
85 None, [] -> Some Ast.UserInput
87 | Some goal_path, _ -> Some goal_path
96 [ "match" ; wanted = tactic_term ;
97 sps = OPT [ "in"; sps = sequent_pattern_spec -> sps ] ->
99 | sps = sequent_pattern_spec ->
102 let wanted,hyp_paths,goal_path =
103 match wanted_and_sps with
104 wanted,None -> wanted, [], Some Ast.UserInput
105 | wanted,Some (hyp_paths,goal_path) -> wanted,hyp_paths,goal_path
107 wanted, hyp_paths, goal_path ] ->
109 None -> None,[],Some Ast.UserInput
113 [ SYMBOL ">" -> `LeftToRight
114 | SYMBOL "<" -> `RightToLeft ]
116 int: [ [ num = NUMBER -> int_of_string num ] ];
118 [ num = OPT [ num = int -> num ]; idents = OPT ident_list0 ->
119 let idents = match idents with None -> [] | Some idents -> idents in
123 using: [ [ using = OPT [ IDENT "using"; t = tactic_term -> t ] -> using ] ];
125 [ IDENT "absurd"; t = tactic_term ->
126 GrafiteAst.Absurd (loc, t)
127 | IDENT "apply"; t = tactic_term ->
128 GrafiteAst.Apply (loc, t)
129 | IDENT "assumption" ->
130 GrafiteAst.Assumption loc
132 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
133 width = OPT [ IDENT "width"; SYMBOL "="; i = int -> i ];
134 paramodulation = OPT [ IDENT "paramodulation" ];
135 full = OPT [ IDENT "full" ] -> (* ALB *)
136 GrafiteAst.Auto (loc,depth,width,paramodulation,full)
137 | IDENT "clear"; id = IDENT ->
138 GrafiteAst.Clear (loc,id)
139 | IDENT "clearbody"; id = IDENT ->
140 GrafiteAst.ClearBody (loc,id)
141 | IDENT "change"; what = pattern_spec; "with"; t = tactic_term ->
142 GrafiteAst.Change (loc, what, t)
143 | IDENT "constructor"; n = int ->
144 GrafiteAst.Constructor (loc, n)
145 | IDENT "contradiction" ->
146 GrafiteAst.Contradiction loc
147 | IDENT "cut"; t = tactic_term; ident = OPT [ "as"; id = IDENT -> id] ->
148 GrafiteAst.Cut (loc, ident, t)
149 | IDENT "decompose"; types = OPT ident_list0; what = IDENT;
150 (num, idents) = intros_spec ->
151 let types = match types with None -> [] | Some types -> types in
152 let to_spec id = GrafiteAst.Ident id in
153 GrafiteAst.Decompose (loc, List.rev_map to_spec types, what, idents)
154 | IDENT "discriminate"; t = tactic_term ->
155 GrafiteAst.Discriminate (loc, t)
156 | IDENT "elim"; what = tactic_term; using = using;
157 (num, idents) = intros_spec ->
158 GrafiteAst.Elim (loc, what, using, num, idents)
159 | IDENT "elimType"; what = tactic_term; using = using;
160 (num, idents) = intros_spec ->
161 GrafiteAst.ElimType (loc, what, using, num, idents)
162 | IDENT "exact"; t = tactic_term ->
163 GrafiteAst.Exact (loc, t)
165 GrafiteAst.Exists loc
166 | IDENT "fail" -> GrafiteAst.Fail loc
167 | IDENT "fold"; kind = reduction_kind; t = tactic_term; p = pattern_spec ->
170 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error
171 ("the pattern cannot specify the term to replace, only its"
172 ^ " paths in the hypotheses and in the conclusion")))
174 GrafiteAst.Fold (loc, kind, t, p)
176 GrafiteAst.Fourier loc
177 | IDENT "fwd"; hyp = IDENT; idents = OPT ident_list0 ->
178 let idents = match idents with None -> [] | Some idents -> idents in
179 GrafiteAst.FwdSimpl (loc, hyp, idents)
180 | IDENT "generalize"; p=pattern_spec; id = OPT ["as" ; id = IDENT -> id] ->
181 GrafiteAst.Generalize (loc,p,id)
182 | IDENT "goal"; n = int ->
183 GrafiteAst.Goal (loc, n)
184 | IDENT "id" -> GrafiteAst.IdTac loc
185 | IDENT "injection"; t = tactic_term ->
186 GrafiteAst.Injection (loc, t)
187 | IDENT "intro"; ident = OPT IDENT ->
188 let idents = match ident with None -> [] | Some id -> [id] in
189 GrafiteAst.Intros (loc, Some 1, idents)
190 | IDENT "intros"; (num, idents) = intros_spec ->
191 GrafiteAst.Intros (loc, num, idents)
192 | IDENT "inversion"; t = tactic_term ->
193 GrafiteAst.Inversion (loc, t)
195 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
197 to_what = OPT [ "to" ; t = tactic_term_list1 -> t ];
198 ident = OPT [ IDENT "using" ; ident = IDENT -> ident ] ->
199 let to_what = match to_what with None -> [] | Some to_what -> to_what in
200 GrafiteAst.LApply (loc, depth, to_what, what, ident)
201 | IDENT "left" -> GrafiteAst.Left loc
202 | IDENT "letin"; where = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
203 GrafiteAst.LetIn (loc, t, where)
204 | kind = reduction_kind; p = pattern_spec ->
205 GrafiteAst.Reduce (loc, kind, p)
206 | IDENT "reflexivity" ->
207 GrafiteAst.Reflexivity loc
208 | IDENT "replace"; p = pattern_spec; "with"; t = tactic_term ->
209 GrafiteAst.Replace (loc, p, t)
210 | IDENT "rewrite" ; d = direction; t = tactic_term ; p = pattern_spec ->
214 (HExtlib.Localized (loc,
215 (CicNotationParser.Parse_error
216 "the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion")))
218 GrafiteAst.Rewrite (loc, d, t, p)
225 | IDENT "symmetry" ->
226 GrafiteAst.Symmetry loc
227 | IDENT "transitivity"; t = tactic_term ->
228 GrafiteAst.Transitivity (loc, t)
233 [ t1 = SELF; SYMBOL ";"; t2 = SELF ->
236 | GrafiteAst.Seq (_, l) -> l @ [ t2 ]
239 GrafiteAst.Seq (loc, ts)
242 [ tac = SELF; SYMBOL ";";
243 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
244 (GrafiteAst.Then (loc, tac, tacs))
247 [ IDENT "do"; count = int; tac = SELF; IDENT "end" ->
248 GrafiteAst.Do (loc, count, tac)
249 | IDENT "repeat"; tac = SELF; IDENT "end" -> GrafiteAst.Repeat (loc, tac)
253 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
254 GrafiteAst.First (loc, tacs)
255 | IDENT "try"; tac = SELF -> GrafiteAst.Try (loc, tac)
257 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
258 GrafiteAst.Solve (loc, tacs)
259 | LPAREN; tac = SELF; RPAREN -> tac
260 | tac = tactic -> GrafiteAst.Tactic (loc, tac)
263 punctuation_tactical:
265 [ SYMBOL "[" -> GrafiteAst.Branch loc
266 | SYMBOL "|" -> GrafiteAst.Shift loc
267 | i = int; SYMBOL ":" -> GrafiteAst.Pos (loc, i)
268 | SYMBOL "]" -> GrafiteAst.Merge loc
269 | SYMBOL ";" -> GrafiteAst.Semicolon loc
270 | SYMBOL "." -> GrafiteAst.Dot loc
275 [ IDENT "focus"; goals = LIST1 int -> GrafiteAst.Focus (loc, goals)
276 | IDENT "unfocus" -> GrafiteAst.Unfocus loc
277 | IDENT "skip" -> GrafiteAst.Skip loc
278 | tac = atomic_tactical LEVEL "loops" -> tac
282 [ [ IDENT "definition" ] -> `Definition
283 | [ IDENT "fact" ] -> `Fact
284 | [ IDENT "lemma" ] -> `Lemma
285 | [ IDENT "remark" ] -> `Remark
286 | [ IDENT "theorem" ] -> `Theorem
290 fst_name = IDENT; params = LIST0 [ arg=arg -> arg ];
291 SYMBOL ":"; fst_typ = term; SYMBOL <:unicode<def>>; OPT SYMBOL "|";
292 fst_constructors = LIST0 constructor SEP SYMBOL "|";
295 name = IDENT; SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>;
296 OPT SYMBOL "|"; constructors = LIST0 constructor SEP SYMBOL "|" ->
297 (name, true, typ, constructors) ] SEP "with" -> types
301 (fun (names, typ) acc ->
302 (List.map (fun name -> (name, typ)) names) @ acc)
305 let fst_ind_type = (fst_name, true, fst_typ, fst_constructors) in
306 let tl_ind_types = match tl with None -> [] | Some types -> types in
307 let ind_types = fst_ind_type :: tl_ind_types in
312 name = IDENT; params = LIST0 [ arg = arg -> arg ] ;
313 SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
316 coercion = [ SYMBOL ":" -> false | SYMBOL ":"; SYMBOL ">" -> true ] ;
317 ty = term -> (name,ty,coercion)
318 ] SEP SYMBOL ";"; SYMBOL "}" ->
321 (fun (names, typ) acc ->
322 (List.map (fun name -> (name, typ)) names) @ acc)
325 (params,name,typ,fields)
329 [ [ IDENT "quit" ] -> GrafiteAst.Quit loc
330 (* | [ IDENT "abort" ] -> GrafiteAst.Abort loc *)
331 (* | [ IDENT "undo" ]; steps = OPT NUMBER ->
332 GrafiteAst.Undo (loc, int_opt steps)
333 | [ IDENT "redo" ]; steps = OPT NUMBER ->
334 GrafiteAst.Redo (loc, int_opt steps) *)
335 | [ IDENT "check" ]; t = term ->
336 GrafiteAst.Check (loc, t)
337 | [ IDENT "hint" ] -> GrafiteAst.Hint loc
338 | [ IDENT "whelp"; "match" ] ; t = term ->
339 GrafiteAst.WMatch (loc,t)
340 | [ IDENT "whelp"; IDENT "instance" ] ; t = term ->
341 GrafiteAst.WInstance (loc,t)
342 | [ IDENT "whelp"; IDENT "locate" ] ; id = IDENT ->
343 GrafiteAst.WLocate (loc,id)
344 | [ IDENT "whelp"; IDENT "elim" ] ; t = term ->
345 GrafiteAst.WElim (loc, t)
346 | [ IDENT "whelp"; IDENT "hint" ] ; t = term ->
347 GrafiteAst.WHint (loc,t)
348 | [ IDENT "print" ]; name = QSTRING -> GrafiteAst.Print (loc, name)
352 [ IDENT "id"; id = QSTRING; SYMBOL "="; uri = QSTRING ->
353 let alpha = "[a-zA-Z]" in
354 let num = "[0-9]+" in
355 let ident_cont = "\\("^alpha^"\\|"^num^"\\|_\\|\\\\\\)" in
356 let ident = "\\("^alpha^ident_cont^"*\\|_"^ident_cont^"+\\)" in
357 let rex = Str.regexp ("^"^ident^"$") in
358 if Str.string_match rex id 0 then
359 if (try ignore (UriManager.uri_of_string uri); true
360 with UriManager.IllFormedUri _ -> false)
362 LexiconAst.Ident_alias (id, uri)
365 (HExtlib.Localized (loc, CicNotationParser.Parse_error (sprintf "Not a valid uri: %s" uri)))
367 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error (
368 sprintf "Not a valid identifier: %s" id)))
369 | IDENT "symbol"; symbol = QSTRING;
370 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
371 SYMBOL "="; dsc = QSTRING ->
373 match instance with Some i -> i | None -> 0
375 LexiconAst.Symbol_alias (symbol, instance, dsc)
377 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
378 SYMBOL "="; dsc = QSTRING ->
380 match instance with Some i -> i | None -> 0
382 LexiconAst.Number_alias (instance, dsc)
386 [ l = LIST0 [ SYMBOL <:unicode<eta>> (* η *); SYMBOL "." -> () ];
388 Ast.IdentArg (List.length l, id)
392 [ IDENT "left"; IDENT "associative" -> Gramext.LeftA
393 | IDENT "right"; IDENT "associative" -> Gramext.RightA
394 | IDENT "non"; IDENT "associative" -> Gramext.NonA
398 [ "with"; IDENT "precedence"; n = NUMBER -> int_of_string n ]
401 [ dir = OPT direction; s = QSTRING;
402 assoc = OPT associativity; prec = OPT precedence;
405 [ blob = UNPARSED_AST ->
406 add_raw_attribute ~text:(sprintf "@{%s}" blob)
407 (CicNotationParser.parse_level2_ast
408 (Ulexing.from_utf8_string blob))
409 | blob = UNPARSED_META ->
410 add_raw_attribute ~text:(sprintf "${%s}" blob)
411 (CicNotationParser.parse_level2_meta
412 (Ulexing.from_utf8_string blob))
416 | None -> default_associativity
417 | Some assoc -> assoc
421 | None -> default_precedence
425 add_raw_attribute ~text:s
426 (CicNotationParser.parse_level1_pattern
427 (Ulexing.from_utf8_string s))
429 (dir, p1, assoc, prec, p2)
433 [ u = URI -> Ast.UriPattern (UriManager.uri_of_string u)
434 | id = IDENT -> Ast.VarPattern id
435 | SYMBOL "_" -> Ast.ImplicitPattern
436 | LPAREN; terms = LIST1 SELF; RPAREN ->
440 | terms -> Ast.ApplPattern terms)
444 [ s = CSYMBOL; args = LIST0 argument; SYMBOL "="; t = level3_term ->
450 IDENT "include" ; path = QSTRING -> loc,path
454 IDENT "set"; n = QSTRING; v = QSTRING ->
455 GrafiteAst.Set (loc, n, v)
456 | IDENT "drop" -> GrafiteAst.Drop loc
457 | IDENT "qed" -> GrafiteAst.Qed loc
458 | IDENT "variant" ; name = IDENT; SYMBOL ":";
459 typ = term; SYMBOL <:unicode<def>> ; newname = IDENT ->
462 (`Variant,name,typ,Some (Ast.Ident (newname, None))))
463 | flavour = theorem_flavour; name = IDENT; SYMBOL ":"; typ = term;
464 body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
465 GrafiteAst.Obj (loc, Ast.Theorem (flavour, name, typ, body))
466 | flavour = theorem_flavour; name = IDENT; SYMBOL <:unicode<def>> (* ≝ *);
469 Ast.Theorem (flavour, name, Ast.Implicit, Some body))
470 | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
471 defs = CicNotationParser.let_defs ->
474 | ((Ast.Ident (name, None), Some ty),_,_) :: _ -> name,ty
475 | ((Ast.Ident (name, None), None),_,_) :: _ ->
479 let body = Ast.Ident (name,None) in
480 GrafiteAst.Obj (loc, Ast.Theorem(`Definition, name, ty,
481 Some (Ast.LetRec (ind_kind, defs, body))))
482 | IDENT "inductive"; spec = inductive_spec ->
483 let (params, ind_types) = spec in
484 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
485 | IDENT "coinductive"; spec = inductive_spec ->
486 let (params, ind_types) = spec in
487 let ind_types = (* set inductive flags to false (coinductive) *)
488 List.map (fun (name, _, term, ctors) -> (name, false, term, ctors))
491 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
492 | IDENT "coercion" ; suri = URI ->
493 GrafiteAst.Coercion (loc, UriManager.uri_of_string suri, true)
494 | IDENT "record" ; (params,name,ty,fields) = record_spec ->
495 GrafiteAst.Obj (loc, Ast.Record (params,name,ty,fields))
496 | IDENT "default" ; what = QSTRING ; uris = LIST1 URI ->
497 let uris = List.map UriManager.uri_of_string uris in
498 GrafiteAst.Default (loc,what,uris)
501 IDENT "alias" ; spec = alias_spec ->
502 LexiconAst.Alias (loc, spec)
503 | IDENT "notation"; (dir, l1, assoc, prec, l2) = notation ->
504 LexiconAst.Notation (loc, dir, l1, assoc, prec, l2)
505 | IDENT "interpretation"; id = QSTRING;
506 (symbol, args, l3) = interpretation ->
507 LexiconAst.Interpretation (loc, id, (symbol, args), l3)
510 [ cmd = grafite_command; SYMBOL "." -> GrafiteAst.Command (loc, cmd)
511 | tac = tactical; punct = punctuation_tactical ->
512 GrafiteAst.Tactical (loc, tac, Some punct)
513 | punct = punctuation_tactical -> GrafiteAst.Tactical (loc, punct, None)
514 | mac = macro; SYMBOL "." -> GrafiteAst.Macro (loc, mac)
518 [ BEGINCOMMENT ; ex = executable ; ENDCOMMENT ->
519 GrafiteAst.Code (loc, ex)
521 GrafiteAst.Note (loc, str)
526 fun ~include_paths status -> status,LSome(GrafiteAst.Executable (loc,ex))
528 fun ~include_paths status -> status,LSome (GrafiteAst.Comment (loc, com))
529 | (iloc,fname) = include_command ; SYMBOL "." ->
530 fun ~include_paths status ->
531 let path = DependenciesParser.baseuri_of_script ~include_paths fname in
533 LexiconEngine.eval_command status (LexiconAst.Include (iloc,path))
537 (GrafiteAst.Executable
538 (loc,GrafiteAst.Command
539 (loc,GrafiteAst.Include (iloc,path))))
540 | scom = lexicon_command ; SYMBOL "." ->
541 fun ~include_paths status ->
542 let status = LexiconEngine.eval_command status scom in
544 | EOI -> raise End_of_file
549 let exc_located_wrapper f =
553 | Stdpp.Exc_located (_, End_of_file) -> raise End_of_file
554 | Stdpp.Exc_located (floc, Stream.Error msg) ->
555 raise (HExtlib.Localized (floc,CicNotationParser.Parse_error msg))
556 | Stdpp.Exc_located (floc, exn) ->
558 (HExtlib.Localized (floc,CicNotationParser.Parse_error (Printexc.to_string exn)))
560 let parse_statement lexbuf =
562 (fun () -> (Grammar.Entry.parse statement (Obj.magic lexbuf)))