1 Ceci est le fichier Info bison.info, produit par Makeinfo version 4.0b
2 à partir bison.texinfo.
5 * bison: (bison). GNU Project parser generator (yacc replacement).
8 This file documents the Bison parser generator.
10 Copyright (C) 1988, 1989, 1990, 1991, 1992, 1993, 1995, 1998, 1999,
11 2000, 2001 Free Software Foundation, Inc.
13 Permission is granted to make and distribute verbatim copies of this
14 manual provided the copyright notice and this permission notice are
15 preserved on all copies.
17 Permission is granted to copy and distribute modified versions of
18 this manual under the conditions for verbatim copying, provided also
19 that the sections entitled "GNU General Public License" and "Conditions
20 for Using Bison" are included exactly as in the original, and provided
21 that the entire resulting derived work is distributed under the terms
22 of a permission notice identical to this one.
24 Permission is granted to copy and distribute translations of this
25 manual into another language, under the above conditions for modified
26 versions, except that the sections entitled "GNU General Public
27 License", "Conditions for Using Bison" and this permission notice may be
28 included in translations approved by the Free Software Foundation
29 instead of in the original English.
32 File: bison.info, Node: Top, Next: Introduction, Up: (dir)
37 This manual documents version 1.28c of Bison, updated 29 August 2001.
43 * Copying:: The GNU General Public License says
44 how you can copy and share Bison
47 * Concepts:: Basic concepts for understanding Bison.
48 * Examples:: Three simple explained examples of using Bison.
51 * Grammar File:: Writing Bison declarations and rules.
52 * Interface:: C-language interface to the parser function `yyparse'.
53 * Algorithm:: How the Bison parser works at run-time.
54 * Error Recovery:: Writing rules for error recovery.
55 * Context Dependency:: What to do if your language syntax is too
56 messy for Bison to handle straightforwardly.
57 * Debugging:: Debugging Bison parsers that parse wrong.
58 * Invocation:: How to run Bison (to produce the parser source file).
59 * Table of Symbols:: All the keywords of the Bison language are explained.
60 * Glossary:: Basic concepts are explained.
61 * Copying This Manual:: License for copying this manual.
62 * Index:: Cross-references to the text.
67 * Language and Grammar:: Languages and context-free grammars,
68 as mathematical ideas.
69 * Grammar in Bison:: How we represent grammars for Bison's sake.
70 * Semantic Values:: Each token or syntactic grouping can have
71 a semantic value (the value of an integer,
72 the name of an identifier, etc.).
73 * Semantic Actions:: Each rule can have an action containing C code.
74 * Bison Parser:: What are Bison's input and output,
75 how is the output used?
76 * Stages:: Stages in writing and running Bison grammars.
77 * Grammar Layout:: Overall structure of a Bison grammar file.
81 * RPN Calc:: Reverse polish notation calculator;
82 a first example with no operator precedence.
83 * Infix Calc:: Infix (algebraic) notation calculator.
84 Operator precedence is introduced.
85 * Simple Error Recovery:: Continuing after syntax errors.
86 * Multi-function Calc:: Calculator with memory and trig functions.
87 It uses multiple data-types for semantic values.
88 * Exercises:: Ideas for improving the multi-function calculator.
90 Reverse Polish Notation Calculator
92 * Decls: Rpcalc Decls. Bison and C declarations for rpcalc.
93 * Rules: Rpcalc Rules. Grammar Rules for rpcalc, with explanation.
94 * Lexer: Rpcalc Lexer. The lexical analyzer.
95 * Main: Rpcalc Main. The controlling function.
96 * Error: Rpcalc Error. The error reporting function.
97 * Gen: Rpcalc Gen. Running Bison on the grammar file.
98 * Comp: Rpcalc Compile. Run the C compiler on the output code.
100 Grammar Rules for `rpcalc'
106 Multi-Function Calculator: `mfcalc'
108 * Decl: Mfcalc Decl. Bison declarations for multi-function calculator.
109 * Rules: Mfcalc Rules. Grammar rules for the calculator.
110 * Symtab: Mfcalc Symtab. Symbol table management subroutines.
114 * Grammar Outline:: Overall layout of the grammar file.
115 * Symbols:: Terminal and nonterminal symbols.
116 * Rules:: How to write grammar rules.
117 * Recursion:: Writing recursive rules.
118 * Semantics:: Semantic values and actions.
119 * Declarations:: All kinds of Bison declarations are described here.
120 * Multiple Parsers:: Putting more than one Bison parser in one program.
122 Outline of a Bison Grammar
124 * C Declarations:: Syntax and usage of the C declarations section.
125 * Bison Declarations:: Syntax and usage of the Bison declarations section.
126 * Grammar Rules:: Syntax and usage of the grammar rules section.
127 * C Code:: Syntax and usage of the additional C code section.
129 Defining Language Semantics
131 * Value Type:: Specifying one data type for all semantic values.
132 * Multiple Types:: Specifying several alternative data types.
133 * Actions:: An action is the semantic definition of a grammar rule.
134 * Action Types:: Specifying data types for actions to operate on.
135 * Mid-Rule Actions:: Most actions go at the end of a rule.
136 This says when, why and how to use the exceptional
137 action in the middle of a rule.
141 * Token Decl:: Declaring terminal symbols.
142 * Precedence Decl:: Declaring terminals with precedence and associativity.
143 * Union Decl:: Declaring the set of all semantic value types.
144 * Type Decl:: Declaring the choice of type for a nonterminal symbol.
145 * Expect Decl:: Suppressing warnings about shift/reduce conflicts.
146 * Start Decl:: Specifying the start symbol.
147 * Pure Decl:: Requesting a reentrant parser.
148 * Decl Summary:: Table of all Bison declarations.
150 Parser C-Language Interface
152 * Parser Function:: How to call `yyparse' and what it returns.
153 * Lexical:: You must supply a function `yylex'
155 * Error Reporting:: You must supply a function `yyerror'.
156 * Action Features:: Special features for use in actions.
158 The Lexical Analyzer Function `yylex'
160 * Calling Convention:: How `yyparse' calls `yylex'.
161 * Token Values:: How `yylex' must return the semantic value
162 of the token it has read.
163 * Token Positions:: How `yylex' must return the text position
164 (line number, etc.) of the token, if the
166 * Pure Calling:: How the calling convention differs
167 in a pure parser (*note A Pure (Reentrant) Parser: Pure Decl.).
169 The Bison Parser Algorithm
171 * Look-Ahead:: Parser looks one token ahead when deciding what to do.
172 * Shift/Reduce:: Conflicts: when either shifting or reduction is valid.
173 * Precedence:: Operator precedence works by resolving conflicts.
174 * Contextual Precedence:: When an operator's precedence depends on context.
175 * Parser States:: The parser is a finite-state-machine with stack.
176 * Reduce/Reduce:: When two rules are applicable in the same situation.
177 * Mystery Conflicts:: Reduce/reduce conflicts that look unjustified.
178 * Stack Overflow:: What happens when stack gets full. How to avoid it.
182 * Why Precedence:: An example showing why precedence is needed.
183 * Using Precedence:: How to specify precedence in Bison grammars.
184 * Precedence Examples:: How these features are used in the previous example.
185 * How Precedence:: How they work.
187 Handling Context Dependencies
189 * Semantic Tokens:: Token parsing can depend on the semantic context.
190 * Lexical Tie-ins:: Token parsing can depend on the syntactic context.
191 * Tie-in Recovery:: Lexical tie-ins have implications for how
192 error recovery rules must be written.
196 * Bison Options:: All the options described in detail,
197 in alphabetical order by short options.
198 * Option Cross Key:: Alphabetical list of long options.
199 * VMS Invocation:: Bison command syntax on VMS.
203 * GNU Free Documentation License:: License for copying this manual.
206 File: bison.info, Node: Introduction, Next: Conditions, Prev: Top, Up: Top
211 "Bison" is a general-purpose parser generator that converts a
212 grammar description for an LALR(1) context-free grammar into a C
213 program to parse that grammar. Once you are proficient with Bison, you
214 may use it to develop a wide range of language parsers, from those used
215 in simple desk calculators to complex programming languages.
217 Bison is upward compatible with Yacc: all properly-written Yacc
218 grammars ought to work with Bison with no change. Anyone familiar with
219 Yacc should be able to use Bison with little trouble. You need to be
220 fluent in C programming in order to use Bison or to understand this
223 We begin with tutorial chapters that explain the basic concepts of
224 using Bison and show three explained examples, each building on the
225 last. If you don't know Bison or Yacc, start by reading these
226 chapters. Reference chapters follow which describe specific aspects of
229 Bison was written primarily by Robert Corbett; Richard Stallman made
230 it Yacc-compatible. Wilfred Hansen of Carnegie Mellon University added
231 multi-character string literals and other features.
233 This edition corresponds to version 1.28c of Bison.
236 File: bison.info, Node: Conditions, Next: Copying, Prev: Introduction, Up: Top
238 Conditions for Using Bison
239 **************************
241 As of Bison version 1.24, we have changed the distribution terms for
242 `yyparse' to permit using Bison's output in nonfree programs.
243 Formerly, Bison parsers could be used only in programs that were free
246 The other GNU programming tools, such as the GNU C compiler, have
247 never had such a requirement. They could always be used for nonfree
248 software. The reason Bison was different was not due to a special
249 policy decision; it resulted from applying the usual General Public
250 License to all of the Bison source code.
252 The output of the Bison utility--the Bison parser file--contains a
253 verbatim copy of a sizable piece of Bison, which is the code for the
254 `yyparse' function. (The actions from your grammar are inserted into
255 this function at one point, but the rest of the function is not
256 changed.) When we applied the GPL terms to the code for `yyparse', the
257 effect was to restrict the use of Bison output to free software.
259 We didn't change the terms because of sympathy for people who want to
260 make software proprietary. *Software should be free.* But we
261 concluded that limiting Bison's use to free software was doing little to
262 encourage people to make other software free. So we decided to make the
263 practical conditions for using Bison match the practical conditions for
264 using the other GNU tools.
267 File: bison.info, Node: Copying, Next: Concepts, Prev: Conditions, Up: Top
269 GNU GENERAL PUBLIC LICENSE
270 **************************
274 Copyright (C) 1989, 1991 Free Software Foundation, Inc.
275 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
277 Everyone is permitted to copy and distribute verbatim copies
278 of this license document, but changing it is not allowed.
283 The licenses for most software are designed to take away your
284 freedom to share and change it. By contrast, the GNU General Public
285 License is intended to guarantee your freedom to share and change free
286 software--to make sure the software is free for all its users. This
287 General Public License applies to most of the Free Software
288 Foundation's software and to any other program whose authors commit to
289 using it. (Some other Free Software Foundation software is covered by
290 the GNU Library General Public License instead.) You can apply it to
293 When we speak of free software, we are referring to freedom, not
294 price. Our General Public Licenses are designed to make sure that you
295 have the freedom to distribute copies of free software (and charge for
296 this service if you wish), that you receive source code or can get it
297 if you want it, that you can change the software or use pieces of it in
298 new free programs; and that you know you can do these things.
300 To protect your rights, we need to make restrictions that forbid
301 anyone to deny you these rights or to ask you to surrender the rights.
302 These restrictions translate to certain responsibilities for you if you
303 distribute copies of the software, or if you modify it.
305 For example, if you distribute copies of such a program, whether
306 gratis or for a fee, you must give the recipients all the rights that
307 you have. You must make sure that they, too, receive or can get the
308 source code. And you must show them these terms so they know their
311 We protect your rights with two steps: (1) copyright the software,
312 and (2) offer you this license which gives you legal permission to copy,
313 distribute and/or modify the software.
315 Also, for each author's protection and ours, we want to make certain
316 that everyone understands that there is no warranty for this free
317 software. If the software is modified by someone else and passed on, we
318 want its recipients to know that what they have is not the original, so
319 that any problems introduced by others will not reflect on the original
320 authors' reputations.
322 Finally, any free program is threatened constantly by software
323 patents. We wish to avoid the danger that redistributors of a free
324 program will individually obtain patent licenses, in effect making the
325 program proprietary. To prevent this, we have made it clear that any
326 patent must be licensed for everyone's free use or not licensed at all.
328 The precise terms and conditions for copying, distribution and
331 TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
332 0. This License applies to any program or other work which contains a
333 notice placed by the copyright holder saying it may be distributed
334 under the terms of this General Public License. The "Program",
335 below, refers to any such program or work, and a "work based on
336 the Program" means either the Program or any derivative work under
337 copyright law: that is to say, a work containing the Program or a
338 portion of it, either verbatim or with modifications and/or
339 translated into another language. (Hereinafter, translation is
340 included without limitation in the term "modification".) Each
341 licensee is addressed as "you".
343 Activities other than copying, distribution and modification are
344 not covered by this License; they are outside its scope. The act
345 of running the Program is not restricted, and the output from the
346 Program is covered only if its contents constitute a work based on
347 the Program (independent of having been made by running the
348 Program). Whether that is true depends on what the Program does.
350 1. You may copy and distribute verbatim copies of the Program's
351 source code as you receive it, in any medium, provided that you
352 conspicuously and appropriately publish on each copy an appropriate
353 copyright notice and disclaimer of warranty; keep intact all the
354 notices that refer to this License and to the absence of any
355 warranty; and give any other recipients of the Program a copy of
356 this License along with the Program.
358 You may charge a fee for the physical act of transferring a copy,
359 and you may at your option offer warranty protection in exchange
362 2. You may modify your copy or copies of the Program or any portion
363 of it, thus forming a work based on the Program, and copy and
364 distribute such modifications or work under the terms of Section 1
365 above, provided that you also meet all of these conditions:
367 a. You must cause the modified files to carry prominent notices
368 stating that you changed the files and the date of any change.
370 b. You must cause any work that you distribute or publish, that
371 in whole or in part contains or is derived from the Program
372 or any part thereof, to be licensed as a whole at no charge
373 to all third parties under the terms of this License.
375 c. If the modified program normally reads commands interactively
376 when run, you must cause it, when started running for such
377 interactive use in the most ordinary way, to print or display
378 an announcement including an appropriate copyright notice and
379 a notice that there is no warranty (or else, saying that you
380 provide a warranty) and that users may redistribute the
381 program under these conditions, and telling the user how to
382 view a copy of this License. (Exception: if the Program
383 itself is interactive but does not normally print such an
384 announcement, your work based on the Program is not required
385 to print an announcement.)
387 These requirements apply to the modified work as a whole. If
388 identifiable sections of that work are not derived from the
389 Program, and can be reasonably considered independent and separate
390 works in themselves, then this License, and its terms, do not
391 apply to those sections when you distribute them as separate
392 works. But when you distribute the same sections as part of a
393 whole which is a work based on the Program, the distribution of
394 the whole must be on the terms of this License, whose permissions
395 for other licensees extend to the entire whole, and thus to each
396 and every part regardless of who wrote it.
398 Thus, it is not the intent of this section to claim rights or
399 contest your rights to work written entirely by you; rather, the
400 intent is to exercise the right to control the distribution of
401 derivative or collective works based on the Program.
403 In addition, mere aggregation of another work not based on the
404 Program with the Program (or with a work based on the Program) on
405 a volume of a storage or distribution medium does not bring the
406 other work under the scope of this License.
408 3. You may copy and distribute the Program (or a work based on it,
409 under Section 2) in object code or executable form under the terms
410 of Sections 1 and 2 above provided that you also do one of the
413 a. Accompany it with the complete corresponding machine-readable
414 source code, which must be distributed under the terms of
415 Sections 1 and 2 above on a medium customarily used for
416 software interchange; or,
418 b. Accompany it with a written offer, valid for at least three
419 years, to give any third party, for a charge no more than your
420 cost of physically performing source distribution, a complete
421 machine-readable copy of the corresponding source code, to be
422 distributed under the terms of Sections 1 and 2 above on a
423 medium customarily used for software interchange; or,
425 c. Accompany it with the information you received as to the offer
426 to distribute corresponding source code. (This alternative is
427 allowed only for noncommercial distribution and only if you
428 received the program in object code or executable form with
429 such an offer, in accord with Subsection b above.)
431 The source code for a work means the preferred form of the work for
432 making modifications to it. For an executable work, complete
433 source code means all the source code for all modules it contains,
434 plus any associated interface definition files, plus the scripts
435 used to control compilation and installation of the executable.
436 However, as a special exception, the source code distributed need
437 not include anything that is normally distributed (in either
438 source or binary form) with the major components (compiler,
439 kernel, and so on) of the operating system on which the executable
440 runs, unless that component itself accompanies the executable.
442 If distribution of executable or object code is made by offering
443 access to copy from a designated place, then offering equivalent
444 access to copy the source code from the same place counts as
445 distribution of the source code, even though third parties are not
446 compelled to copy the source along with the object code.
448 4. You may not copy, modify, sublicense, or distribute the Program
449 except as expressly provided under this License. Any attempt
450 otherwise to copy, modify, sublicense or distribute the Program is
451 void, and will automatically terminate your rights under this
452 License. However, parties who have received copies, or rights,
453 from you under this License will not have their licenses
454 terminated so long as such parties remain in full compliance.
456 5. You are not required to accept this License, since you have not
457 signed it. However, nothing else grants you permission to modify
458 or distribute the Program or its derivative works. These actions
459 are prohibited by law if you do not accept this License.
460 Therefore, by modifying or distributing the Program (or any work
461 based on the Program), you indicate your acceptance of this
462 License to do so, and all its terms and conditions for copying,
463 distributing or modifying the Program or works based on it.
465 6. Each time you redistribute the Program (or any work based on the
466 Program), the recipient automatically receives a license from the
467 original licensor to copy, distribute or modify the Program
468 subject to these terms and conditions. You may not impose any
469 further restrictions on the recipients' exercise of the rights
470 granted herein. You are not responsible for enforcing compliance
471 by third parties to this License.
473 7. If, as a consequence of a court judgment or allegation of patent
474 infringement or for any other reason (not limited to patent
475 issues), conditions are imposed on you (whether by court order,
476 agreement or otherwise) that contradict the conditions of this
477 License, they do not excuse you from the conditions of this
478 License. If you cannot distribute so as to satisfy simultaneously
479 your obligations under this License and any other pertinent
480 obligations, then as a consequence you may not distribute the
481 Program at all. For example, if a patent license would not permit
482 royalty-free redistribution of the Program by all those who
483 receive copies directly or indirectly through you, then the only
484 way you could satisfy both it and this License would be to refrain
485 entirely from distribution of the Program.
487 If any portion of this section is held invalid or unenforceable
488 under any particular circumstance, the balance of the section is
489 intended to apply and the section as a whole is intended to apply
490 in other circumstances.
492 It is not the purpose of this section to induce you to infringe any
493 patents or other property right claims or to contest validity of
494 any such claims; this section has the sole purpose of protecting
495 the integrity of the free software distribution system, which is
496 implemented by public license practices. Many people have made
497 generous contributions to the wide range of software distributed
498 through that system in reliance on consistent application of that
499 system; it is up to the author/donor to decide if he or she is
500 willing to distribute software through any other system and a
501 licensee cannot impose that choice.
503 This section is intended to make thoroughly clear what is believed
504 to be a consequence of the rest of this License.
506 8. If the distribution and/or use of the Program is restricted in
507 certain countries either by patents or by copyrighted interfaces,
508 the original copyright holder who places the Program under this
509 License may add an explicit geographical distribution limitation
510 excluding those countries, so that distribution is permitted only
511 in or among countries not thus excluded. In such case, this
512 License incorporates the limitation as if written in the body of
515 9. The Free Software Foundation may publish revised and/or new
516 versions of the General Public License from time to time. Such
517 new versions will be similar in spirit to the present version, but
518 may differ in detail to address new problems or concerns.
520 Each version is given a distinguishing version number. If the
521 Program specifies a version number of this License which applies
522 to it and "any later version", you have the option of following
523 the terms and conditions either of that version or of any later
524 version published by the Free Software Foundation. If the Program
525 does not specify a version number of this License, you may choose
526 any version ever published by the Free Software Foundation.
528 10. If you wish to incorporate parts of the Program into other free
529 programs whose distribution conditions are different, write to the
530 author to ask for permission. For software which is copyrighted
531 by the Free Software Foundation, write to the Free Software
532 Foundation; we sometimes make exceptions for this. Our decision
533 will be guided by the two goals of preserving the free status of
534 all derivatives of our free software and of promoting the sharing
535 and reuse of software generally.
539 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO
540 WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE
541 LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
542 HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT
543 WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT
544 NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
545 FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE
546 QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
547 PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY
548 SERVICING, REPAIR OR CORRECTION.
550 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN
551 WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY
552 MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE
553 LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL,
554 INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR
555 INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
556 DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU
557 OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY
558 OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN
559 ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
561 END OF TERMS AND CONDITIONS
563 Appendix: How to Apply These Terms to Your New Programs
564 =======================================================
566 If you develop a new program, and you want it to be of the greatest
567 possible use to the public, the best way to achieve this is to make it
568 free software which everyone can redistribute and change under these
571 To do so, attach the following notices to the program. It is safest
572 to attach them to the start of each source file to most effectively
573 convey the exclusion of warranty; and each file should have at least
574 the "copyright" line and a pointer to where the full notice is found.
576 ONE LINE TO GIVE THE PROGRAM'S NAME AND A BRIEF IDEA OF WHAT IT DOES.
577 Copyright (C) YYYY NAME OF AUTHOR
579 This program is free software; you can redistribute it and/or modify
580 it under the terms of the GNU General Public License as published by
581 the Free Software Foundation; either version 2 of the License, or
582 (at your option) any later version.
584 This program is distributed in the hope that it will be useful,
585 but WITHOUT ANY WARRANTY; without even the implied warranty of
586 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
587 GNU General Public License for more details.
589 You should have received a copy of the GNU General Public License
590 along with this program; if not, write to the Free Software
591 Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
593 Also add information on how to contact you by electronic and paper
596 If the program is interactive, make it output a short notice like
597 this when it starts in an interactive mode:
599 Gnomovision version 69, Copyright (C) 19YY NAME OF AUTHOR
600 Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
601 This is free software, and you are welcome to redistribute it
602 under certain conditions; type `show c' for details.
604 The hypothetical commands `show w' and `show c' should show the
605 appropriate parts of the General Public License. Of course, the
606 commands you use may be called something other than `show w' and `show
607 c'; they could even be mouse-clicks or menu items--whatever suits your
610 You should also get your employer (if you work as a programmer) or
611 your school, if any, to sign a "copyright disclaimer" for the program,
612 if necessary. Here is a sample; alter the names:
614 Yoyodyne, Inc., hereby disclaims all copyright interest in the program
615 `Gnomovision' (which makes passes at compilers) written by James Hacker.
617 SIGNATURE OF TY COON, 1 April 1989
618 Ty Coon, President of Vice
620 This General Public License does not permit incorporating your
621 program into proprietary programs. If your program is a subroutine
622 library, you may consider it more useful to permit linking proprietary
623 applications with the library. If this is what you want to do, use the
624 GNU Library General Public License instead of this License.
627 File: bison.info, Node: Concepts, Next: Examples, Prev: Copying, Up: Top
629 The Concepts of Bison
630 *********************
632 This chapter introduces many of the basic concepts without which the
633 details of Bison will not make sense. If you do not already know how to
634 use Bison or Yacc, we suggest you start by reading this chapter
639 * Language and Grammar:: Languages and context-free grammars,
640 as mathematical ideas.
641 * Grammar in Bison:: How we represent grammars for Bison's sake.
642 * Semantic Values:: Each token or syntactic grouping can have
643 a semantic value (the value of an integer,
644 the name of an identifier, etc.).
645 * Semantic Actions:: Each rule can have an action containing C code.
646 * Locations Overview:: Tracking Locations.
647 * Bison Parser:: What are Bison's input and output,
648 how is the output used?
649 * Stages:: Stages in writing and running Bison grammars.
650 * Grammar Layout:: Overall structure of a Bison grammar file.
653 File: bison.info, Node: Language and Grammar, Next: Grammar in Bison, Up: Concepts
655 Languages and Context-Free Grammars
656 ===================================
658 In order for Bison to parse a language, it must be described by a
659 "context-free grammar". This means that you specify one or more
660 "syntactic groupings" and give rules for constructing them from their
661 parts. For example, in the C language, one kind of grouping is called
662 an `expression'. One rule for making an expression might be, "An
663 expression can be made of a minus sign and another expression".
664 Another would be, "An expression can be an integer". As you can see,
665 rules are often recursive, but there must be at least one rule which
666 leads out of the recursion.
668 The most common formal system for presenting such rules for humans
669 to read is "Backus-Naur Form" or "BNF", which was developed in order to
670 specify the language Algol 60. Any grammar expressed in BNF is a
671 context-free grammar. The input to Bison is essentially
672 machine-readable BNF.
674 Not all context-free languages can be handled by Bison, only those
675 that are LALR(1). In brief, this means that it must be possible to
676 tell how to parse any portion of an input string with just a single
677 token of look-ahead. Strictly speaking, that is a description of an
678 LR(1) grammar, and LALR(1) involves additional restrictions that are
679 hard to explain simply; but it is rare in actual practice to find an
680 LR(1) grammar that fails to be LALR(1). *Note Mysterious Reduce/Reduce
681 Conflicts: Mystery Conflicts, for more information on this.
683 In the formal grammatical rules for a language, each kind of
684 syntactic unit or grouping is named by a "symbol". Those which are
685 built by grouping smaller constructs according to grammatical rules are
686 called "nonterminal symbols"; those which can't be subdivided are called
687 "terminal symbols" or "token types". We call a piece of input
688 corresponding to a single terminal symbol a "token", and a piece
689 corresponding to a single nonterminal symbol a "grouping".
691 We can use the C language as an example of what symbols, terminal and
692 nonterminal, mean. The tokens of C are identifiers, constants (numeric
693 and string), and the various keywords, arithmetic operators and
694 punctuation marks. So the terminal symbols of a grammar for C include
695 `identifier', `number', `string', plus one symbol for each keyword,
696 operator or punctuation mark: `if', `return', `const', `static', `int',
697 `char', `plus-sign', `open-brace', `close-brace', `comma' and many
698 more. (These tokens can be subdivided into characters, but that is a
699 matter of lexicography, not grammar.)
701 Here is a simple C function subdivided into tokens:
703 int /* keyword `int' */
704 square (x) /* identifier, open-paren, */
705 /* identifier, close-paren */
706 int x; /* keyword `int', identifier, semicolon */
708 return x * x; /* keyword `return', identifier, */
709 /* asterisk, identifier, semicolon */
712 The syntactic groupings of C include the expression, the statement,
713 the declaration, and the function definition. These are represented in
714 the grammar of C by nonterminal symbols `expression', `statement',
715 `declaration' and `function definition'. The full grammar uses dozens
716 of additional language constructs, each with its own nonterminal
717 symbol, in order to express the meanings of these four. The example
718 above is a function definition; it contains one declaration, and one
719 statement. In the statement, each `x' is an expression and so is `x *
722 Each nonterminal symbol must have grammatical rules showing how it
723 is made out of simpler constructs. For example, one kind of C
724 statement is the `return' statement; this would be described with a
725 grammar rule which reads informally as follows:
727 A `statement' can be made of a `return' keyword, an `expression'
730 There would be many other rules for `statement', one for each kind of
733 One nonterminal symbol must be distinguished as the special one which
734 defines a complete utterance in the language. It is called the "start
735 symbol". In a compiler, this means a complete input program. In the C
736 language, the nonterminal symbol `sequence of definitions and
737 declarations' plays this role.
739 For example, `1 + 2' is a valid C expression--a valid part of a C
740 program--but it is not valid as an _entire_ C program. In the
741 context-free grammar of C, this follows from the fact that `expression'
742 is not the start symbol.
744 The Bison parser reads a sequence of tokens as its input, and groups
745 the tokens using the grammar rules. If the input is valid, the end
746 result is that the entire token sequence reduces to a single grouping
747 whose symbol is the grammar's start symbol. If we use a grammar for C,
748 the entire input must be a `sequence of definitions and declarations'.
749 If not, the parser reports a syntax error.
752 File: bison.info, Node: Grammar in Bison, Next: Semantic Values, Prev: Language and Grammar, Up: Concepts
754 From Formal Rules to Bison Input
755 ================================
757 A formal grammar is a mathematical construct. To define the language
758 for Bison, you must write a file expressing the grammar in Bison syntax:
759 a "Bison grammar" file. *Note Bison Grammar Files: Grammar File.
761 A nonterminal symbol in the formal grammar is represented in Bison
762 input as an identifier, like an identifier in C. By convention, it
763 should be in lower case, such as `expr', `stmt' or `declaration'.
765 The Bison representation for a terminal symbol is also called a
766 "token type". Token types as well can be represented as C-like
767 identifiers. By convention, these identifiers should be upper case to
768 distinguish them from nonterminals: for example, `INTEGER',
769 `IDENTIFIER', `IF' or `RETURN'. A terminal symbol that stands for a
770 particular keyword in the language should be named after that keyword
771 converted to upper case. The terminal symbol `error' is reserved for
772 error recovery. *Note Symbols::.
774 A terminal symbol can also be represented as a character literal,
775 just like a C character constant. You should do this whenever a token
776 is just a single character (parenthesis, plus-sign, etc.): use that
777 same character in a literal as the terminal symbol for that token.
779 A third way to represent a terminal symbol is with a C string
780 constant containing several characters. *Note Symbols::, for more
783 The grammar rules also have an expression in Bison syntax. For
784 example, here is the Bison rule for a C `return' statement. The
785 semicolon in quotes is a literal character token, representing part of
786 the C syntax for the statement; the naked semicolon, and the colon, are
787 Bison punctuation used in every rule.
789 stmt: RETURN expr ';'
792 *Note Syntax of Grammar Rules: Rules.
795 File: bison.info, Node: Semantic Values, Next: Semantic Actions, Prev: Grammar in Bison, Up: Concepts
800 A formal grammar selects tokens only by their classifications: for
801 example, if a rule mentions the terminal symbol `integer constant', it
802 means that _any_ integer constant is grammatically valid in that
803 position. The precise value of the constant is irrelevant to how to
804 parse the input: if `x+4' is grammatical then `x+1' or `x+3989' is
807 But the precise value is very important for what the input means
808 once it is parsed. A compiler is useless if it fails to distinguish
809 between 4, 1 and 3989 as constants in the program! Therefore, each
810 token in a Bison grammar has both a token type and a "semantic value".
811 *Note Defining Language Semantics: Semantics, for details.
813 The token type is a terminal symbol defined in the grammar, such as
814 `INTEGER', `IDENTIFIER' or `',''. It tells everything you need to know
815 to decide where the token may validly appear and how to group it with
816 other tokens. The grammar rules know nothing about tokens except their
819 The semantic value has all the rest of the information about the
820 meaning of the token, such as the value of an integer, or the name of an
821 identifier. (A token such as `','' which is just punctuation doesn't
822 need to have any semantic value.)
824 For example, an input token might be classified as token type
825 `INTEGER' and have the semantic value 4. Another input token might
826 have the same token type `INTEGER' but value 3989. When a grammar rule
827 says that `INTEGER' is allowed, either of these tokens is acceptable
828 because each is an `INTEGER'. When the parser accepts the token, it
829 keeps track of the token's semantic value.
831 Each grouping can also have a semantic value as well as its
832 nonterminal symbol. For example, in a calculator, an expression
833 typically has a semantic value that is a number. In a compiler for a
834 programming language, an expression typically has a semantic value that
835 is a tree structure describing the meaning of the expression.
838 File: bison.info, Node: Semantic Actions, Next: Locations Overview, Prev: Semantic Values, Up: Concepts
843 In order to be useful, a program must do more than parse input; it
844 must also produce some output based on the input. In a Bison grammar,
845 a grammar rule can have an "action" made up of C statements. Each time
846 the parser recognizes a match for that rule, the action is executed.
849 Most of the time, the purpose of an action is to compute the
850 semantic value of the whole construct from the semantic values of its
851 parts. For example, suppose we have a rule which says an expression
852 can be the sum of two expressions. When the parser recognizes such a
853 sum, each of the subexpressions has a semantic value which describes
854 how it was built up. The action for this rule should create a similar
855 sort of value for the newly recognized larger expression.
857 For example, here is a rule that says an expression can be the sum of
860 expr: expr '+' expr { $$ = $1 + $3; }
863 The action says how to produce the semantic value of the sum expression
864 from the values of the two subexpressions.
867 File: bison.info, Node: Locations Overview, Next: Bison Parser, Prev: Semantic Actions, Up: Concepts
872 Many applications, like interpreters or compilers, have to produce
873 verbose and useful error messages. To achieve this, one must be able to
874 keep track of the "textual position", or "location", of each syntactic
875 construct. Bison provides a mechanism for handling these locations.
877 Each token has a semantic value. In a similar fashion, each token
878 has an associated location, but the type of locations is the same for
879 all tokens and groupings. Moreover, the output parser is equipped with
880 a default data structure for storing locations (*note Locations::, for
883 Like semantic values, locations can be reached in actions using a
884 dedicated set of constructs. In the example above, the location of the
885 whole grouping is `@$', while the locations of the subexpressions are
888 When a rule is matched, a default action is used to compute the
889 semantic value of its left hand side (*note Actions::). In the same
890 way, another default action is used for locations. However, the action
891 for locations is general enough for most cases, meaning there is
892 usually no need to describe for each rule how `@$' should be formed.
893 When building a new location for a given grouping, the default behavior
894 of the output parser is to take the beginning of the first symbol, and
895 the end of the last symbol.
898 File: bison.info, Node: Bison Parser, Next: Stages, Prev: Locations Overview, Up: Concepts
900 Bison Output: the Parser File
901 =============================
903 When you run Bison, you give it a Bison grammar file as input. The
904 output is a C source file that parses the language described by the
905 grammar. This file is called a "Bison parser". Keep in mind that the
906 Bison utility and the Bison parser are two distinct programs: the Bison
907 utility is a program whose output is the Bison parser that becomes part
910 The job of the Bison parser is to group tokens into groupings
911 according to the grammar rules--for example, to build identifiers and
912 operators into expressions. As it does this, it runs the actions for
913 the grammar rules it uses.
915 The tokens come from a function called the "lexical analyzer" that
916 you must supply in some fashion (such as by writing it in C). The
917 Bison parser calls the lexical analyzer each time it wants a new token.
918 It doesn't know what is "inside" the tokens (though their semantic
919 values may reflect this). Typically the lexical analyzer makes the
920 tokens by parsing characters of text, but Bison does not depend on
921 this. *Note The Lexical Analyzer Function `yylex': Lexical.
923 The Bison parser file is C code which defines a function named
924 `yyparse' which implements that grammar. This function does not make a
925 complete C program: you must supply some additional functions. One is
926 the lexical analyzer. Another is an error-reporting function which the
927 parser calls to report an error. In addition, a complete C program must
928 start with a function called `main'; you have to provide this, and
929 arrange for it to call `yyparse' or the parser will never run. *Note
930 Parser C-Language Interface: Interface.
932 Aside from the token type names and the symbols in the actions you
933 write, all variable and function names used in the Bison parser file
934 begin with `yy' or `YY'. This includes interface functions such as the
935 lexical analyzer function `yylex', the error reporting function
936 `yyerror' and the parser function `yyparse' itself. This also includes
937 numerous identifiers used for internal purposes. Therefore, you should
938 avoid using C identifiers starting with `yy' or `YY' in the Bison
939 grammar file except for the ones defined in this manual.
942 File: bison.info, Node: Stages, Next: Grammar Layout, Prev: Bison Parser, Up: Concepts
944 Stages in Using Bison
945 =====================
947 The actual language-design process using Bison, from grammar
948 specification to a working compiler or interpreter, has these parts:
950 1. Formally specify the grammar in a form recognized by Bison (*note
951 Bison Grammar Files: Grammar File.). For each grammatical rule in
952 the language, describe the action that is to be taken when an
953 instance of that rule is recognized. The action is described by a
954 sequence of C statements.
956 2. Write a lexical analyzer to process input and pass tokens to the
957 parser. The lexical analyzer may be written by hand in C (*note
958 The Lexical Analyzer Function `yylex': Lexical.). It could also
959 be produced using Lex, but the use of Lex is not discussed in this
962 3. Write a controlling function that calls the Bison-produced parser.
964 4. Write error-reporting routines.
966 To turn this source code as written into a runnable program, you
967 must follow these steps:
969 1. Run Bison on the grammar to produce the parser.
971 2. Compile the code output by Bison, as well as any other source
974 3. Link the object files to produce the finished product.
977 File: bison.info, Node: Grammar Layout, Prev: Stages, Up: Concepts
979 The Overall Layout of a Bison Grammar
980 =====================================
982 The input file for the Bison utility is a "Bison grammar file". The
983 general form of a Bison grammar file is as follows:
996 The `%%', `%{' and `%}' are punctuation that appears in every Bison
997 grammar file to separate the sections.
999 The C declarations may define types and variables used in the
1000 actions. You can also use preprocessor commands to define macros used
1001 there, and use `#include' to include header files that do any of these
1004 The Bison declarations declare the names of the terminal and
1005 nonterminal symbols, and may also describe operator precedence and the
1006 data types of semantic values of various symbols.
1008 The grammar rules define how to construct each nonterminal symbol
1011 The additional C code can contain any C code you want to use. Often
1012 the definition of the lexical analyzer `yylex' goes here, plus
1013 subroutines called by the actions in the grammar rules. In a simple
1014 program, all the rest of the program can go here.
1017 File: bison.info, Node: Examples, Next: Grammar File, Prev: Concepts, Up: Top
1022 Now we show and explain three sample programs written using Bison: a
1023 reverse polish notation calculator, an algebraic (infix) notation
1024 calculator, and a multi-function calculator. All three have been tested
1025 under BSD Unix 4.3; each produces a usable, though limited, interactive
1026 desk-top calculator.
1028 These examples are simple, but Bison grammars for real programming
1029 languages are written the same way. You can copy these examples out of
1030 the Info file and into a source file to try them.
1034 * RPN Calc:: Reverse polish notation calculator;
1035 a first example with no operator precedence.
1036 * Infix Calc:: Infix (algebraic) notation calculator.
1037 Operator precedence is introduced.
1038 * Simple Error Recovery:: Continuing after syntax errors.
1039 * Multi-function Calc:: Calculator with memory and trig functions.
1040 It uses multiple data-types for semantic values.
1041 * Exercises:: Ideas for improving the multi-function calculator.
1044 File: bison.info, Node: RPN Calc, Next: Infix Calc, Up: Examples
1046 Reverse Polish Notation Calculator
1047 ==================================
1049 The first example is that of a simple double-precision "reverse
1050 polish notation" calculator (a calculator using postfix operators).
1051 This example provides a good starting point, since operator precedence
1052 is not an issue. The second example will illustrate how operator
1053 precedence is handled.
1055 The source code for this calculator is named `rpcalc.y'. The `.y'
1056 extension is a convention used for Bison input files.
1060 * Decls: Rpcalc Decls. Bison and C declarations for rpcalc.
1061 * Rules: Rpcalc Rules. Grammar Rules for rpcalc, with explanation.
1062 * Lexer: Rpcalc Lexer. The lexical analyzer.
1063 * Main: Rpcalc Main. The controlling function.
1064 * Error: Rpcalc Error. The error reporting function.
1065 * Gen: Rpcalc Gen. Running Bison on the grammar file.
1066 * Comp: Rpcalc Compile. Run the C compiler on the output code.