gnu1987/bison-1.21/bison.info-1

This is Info file bison.info, produced by Makeinfo-1.52 from the input
file ./bison.texinfo.

   This file documents the Bison parser generator.

   Copyright (C) 1988, 1989, 1990, 1991, 1992 Free Software Foundation,
Inc.

   Permission is granted to make and distribute verbatim copies of this
manual provided the copyright notice and this permission notice are
preserved on all copies.

   Permission is granted to copy and distribute modified versions of
this manual under the conditions for verbatim copying, provided also
that the sections entitled "GNU General Public License" and "Conditions
for Using Bison" are included exactly as in the original, and provided
that the entire resulting derived work is distributed under the terms
of a permission notice identical to this one.

   Permission is granted to copy and distribute translations of this
manual into another language, under the above conditions for modified
versions, except that the sections entitled "GNU General Public
License", "Conditions for Using Bison" and this permission notice may be
included in translations approved by the Free Software Foundation
instead of in the original English.


File: bison.info,  Node: Top,  Next: Introduction,  Prev: (dir),  Up: (dir)

   This manual documents version 1.20 of Bison.

* Menu:

* Introduction::
* Conditions::
* Copying::           The GNU General Public License says
                        how you can copy and share Bison

Tutorial sections:
* Concepts::          Basic concepts for understanding Bison.
* Examples::          Three simple explained examples of using Bison.

Reference sections:
* Grammar File::      Writing Bison declarations and rules.
* Interface::         C-language interface to the parser function `yyparse'.
* Algorithm::         How the Bison parser works at run-time.
* Error Recovery::    Writing rules for error recovery.
* Context Dependency::  What to do if your language syntax is too
                        messy for Bison to handle straightforwardly.
* Debugging::         Debugging Bison parsers that parse wrong.
* Invocation::        How to run Bison (to produce the parser source file).
* Table of Symbols::  All the keywords of the Bison language are explained.
* Glossary::          Basic concepts are explained.
* Index::             Cross-references to the text.

 -- The Detailed Node Listing --

The Concepts of Bison

* Language and Grammar::  Languages and context-free grammars,
                            as mathematical ideas.
* Grammar in Bison::  How we represent grammars for Bison's sake.
* Semantic Values::   Each token or syntactic grouping can have
                        a semantic value (the value of an integer,
                        the name of an identifier, etc.).
* Semantic Actions::  Each rule can have an action containing C code.
* Bison Parser::      What are Bison's input and output,
                        how is the output used?
* Stages::            Stages in writing and running Bison grammars.
* Grammar Layout::    Overall structure of a Bison grammar file.

Examples

* RPN Calc::          Reverse polish notation calculator;
                        a first example with no operator precedence.
* Infix Calc::        Infix (algebraic) notation calculator.
                        Operator precedence is introduced.
* Simple Error Recovery::  Continuing after syntax errors.
* Multi-function Calc::    Calculator with memory and trig functions.
                        It uses multiple data-types for semantic values.
* Exercises::         Ideas for improving the multi-function calculator.

Reverse Polish Notation Calculator

* Decls: Rpcalc Decls.  Bison and C declarations for rpcalc.
* Rules: Rpcalc Rules.  Grammar Rules for rpcalc, with explanation.
* Lexer: Rpcalc Lexer.  The lexical analyzer.
* Main: Rpcalc Main.    The controlling function.
* Error: Rpcalc Error.  The error reporting function.
* Gen: Rpcalc Gen.      Running Bison on the grammar file.
* Comp: Rpcalc Compile. Run the C compiler on the output code.

Grammar Rules for `rpcalc'

* Rpcalc Input::
* Rpcalc Line::
* Rpcalc Expr::

Multi-Function Calculator: `mfcalc'

* Decl: Mfcalc Decl.      Bison declarations for multi-function calculator.
* Rules: Mfcalc Rules.    Grammar rules for the calculator.
* Symtab: Mfcalc Symtab.  Symbol table management subroutines.

Bison Grammar Files

* Grammar Outline::   Overall layout of the grammar file.
* Symbols::           Terminal and nonterminal symbols.
* Rules::             How to write grammar rules.
* Recursion::         Writing recursive rules.
* Semantics::         Semantic values and actions.
* Declarations::      All kinds of Bison declarations are described here.
* Multiple Parsers::  Putting more than one Bison parser in one program.

Outline of a Bison Grammar

* C Declarations::    Syntax and usage of the C declarations section.
* Bison Declarations::  Syntax and usage of the Bison declarations section.
* Grammar Rules::     Syntax and usage of the grammar rules section.
* C Code::            Syntax and usage of the additional C code section.

Defining Language Semantics

* Value Type::        Specifying one data type for all semantic values.
* Multiple Types::    Specifying several alternative data types.
* Actions::           An action is the semantic definition of a grammar rule.
* Action Types::      Specifying data types for actions to operate on.
* Mid-Rule Actions::  Most actions go at the end of a rule.
                      This says when, why and how to use the exceptional
                        action in the middle of a rule.

Bison Declarations

* Token Decl::        Declaring terminal symbols.
* Precedence Decl::   Declaring terminals with precedence and associativity.
* Union Decl::        Declaring the set of all semantic value types.
* Type Decl::         Declaring the choice of type for a nonterminal symbol.
* Expect Decl::       Suppressing warnings about shift/reduce conflicts.
* Start Decl::        Specifying the start symbol.
* Pure Decl::         Requesting a reentrant parser.
* Decl Summary::      Table of all Bison declarations.

Parser C-Language Interface

* Parser Function::   How to call `yyparse' and what it returns.
* Lexical::           You must supply a function `yylex'
                        which reads tokens.
* Error Reporting::   You must supply a function `yyerror'.
* Action Features::   Special features for use in actions.

The Lexical Analyzer Function `yylex'

* Calling Convention::  How `yyparse' calls `yylex'.
* Token Values::      How `yylex' must return the semantic value
                        of the token it has read.
* Token Positions::   How `yylex' must return the text position
                        (line number, etc.) of the token, if the
                         actions want that.
* Pure Calling::      How the calling convention differs
                        in a pure parser (*note A Pure (Reentrant) Parser: Pure Decl.).

The Bison Parser Algorithm

* Look-Ahead::        Parser looks one token ahead when deciding what to do.
* Shift/Reduce::      Conflicts: when either shifting or reduction is valid.
* Precedence::        Operator precedence works by resolving conflicts.
* Contextual Precedence::  When an operator's precedence depends on context.
* Parser States::     The parser is a finite-state-machine with stack.
* Reduce/Reduce::     When two rules are applicable in the same situation.
* Mystery Conflicts::  Reduce/reduce conflicts that look unjustified.
* Stack Overflow::    What happens when stack gets full.  How to avoid it.

Operator Precedence

* Why Precedence::    An example showing why precedence is needed.
* Using Precedence::  How to specify precedence in Bison grammars.
* Precedence Examples::  How these features are used in the previous example.
* How Precedence::    How they work.

Handling Context Dependencies

* Semantic Tokens::   Token parsing can depend on the semantic context.
* Lexical Tie-ins::   Token parsing can depend on the syntactic context.
* Tie-in Recovery::   Lexical tie-ins have implications for how
                        error recovery rules must be written.

Invoking Bison

* Bison Options::     All the options described in detail,
			in alphabetical order by short options.
* Option Cross Key::  Alphabetical list of long options.
* VMS Invocation::    Bison command syntax on VMS.


File: bison.info,  Node: Introduction,  Next: Conditions,  Prev: Top,  Up: Top

Introduction
************

   "Bison" is a general-purpose parser generator that converts a
grammar description for an LALR(1) context-free grammar into a C
program to parse that grammar.  Once you are proficient with Bison, you
may use it to develop a wide range of language parsers, from those used
in simple desk calculators to complex programming languages.

   Bison is upward compatible with Yacc: all properly-written Yacc
grammars ought to work with Bison with no change.  Anyone familiar with
Yacc should be able to use Bison with little trouble.  You need to be
fluent in C programming in order to use Bison or to understand this
manual.

   We begin with tutorial chapters that explain the basic concepts of
using Bison and show three explained examples, each building on the
last.  If you don't know Bison or Yacc, start by reading these
chapters.  Reference chapters follow which describe specific aspects of
Bison in detail.

   Bison was written primarily by Robert Corbett; Richard Stallman made
it Yacc-compatible.  This edition corresponds to version 1.20 of Bison.


File: bison.info,  Node: Conditions,  Next: Copying,  Prev: Introduction,  Up: Top

Conditions for Using Bison
**************************

   Bison grammars can be used only in programs that are free software.
This is in contrast to what happens with the GNU C compiler and the
other GNU programming tools.

   The reason Bison is special is that the output of the Bison
utility--the Bison parser file--contains a verbatim copy of a sizable
piece of Bison, which is the code for the `yyparse' function.  (The
actions from your grammar are inserted into this function at one point,
but the rest of the function is not changed.)

   As a result, the Bison parser file is covered by the same copying
conditions that cover Bison itself and the rest of the GNU system: any
program containing it has to be distributed under the standard GNU
copying conditions.

   Occasionally people who would like to use Bison to develop
proprietary programs complain about this.

   We don't particularly sympathize with their complaints.  The purpose
of the GNU project is to promote the right to share software and the
practice of sharing software; it is a means of changing society.  The
people who complain are planning to be uncooperative toward the rest of
the world; why should they deserve our help in doing so?

   However, it's possible that a change in these conditions might
encourage computer companies to use and distribute the GNU system.  If
so, then we might decide to change the terms on `yyparse' as a matter
of the strategy of promoting the right to share.  Such a change would be
irrevocable.  Since we stand by the copying permissions we have
announced, we cannot withdraw them once given.

   We mustn't make an irrevocable change hastily.  We have to wait
until there is a complete GNU system and there has been time to learn
how this issue affects its reception.


File: bison.info,  Node: Copying,  Next: Concepts,  Prev: Conditions,  Up: Top

GNU GENERAL PUBLIC LICENSE
**************************

                         Version 2, June 1991

     Copyright (C) 1989, 1991 Free Software Foundation, Inc.
     675 Mass Ave, Cambridge, MA 02139, USA
     
     Everyone is permitted to copy and distribute verbatim copies
     of this license document, but changing it is not allowed.

Preamble
========

   The licenses for most software are designed to take away your
freedom to share and change it.  By contrast, the GNU General Public
License is intended to guarantee your freedom to share and change free
software--to make sure the software is free for all its users.  This
General Public License applies to most of the Free Software
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    TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION

  1. This License applies to any program or other work which contains a
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                      END OF TERMS AND CONDITIONS

How to Apply These Terms to Your New Programs
=============================================

   If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these
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   To do so, attach the following notices to the program.  It is safest
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     ONE LINE TO GIVE THE PROGRAM'S NAME AND A BRIEF IDEA OF WHAT IT DOES.
     Copyright (C) 19YY  NAME OF AUTHOR
     
     This program is free software; you can redistribute it and/or modify
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     This program is distributed in the hope that it will be useful,
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   Also add information on how to contact you by electronic and paper
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   If the program is interactive, make it output a short notice like
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     This is free software, and you are welcome to redistribute it
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   The hypothetical commands `show w' and `show c' should show the
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   You should also get your employer (if you work as a programmer) or
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     Yoyodyne, Inc., hereby disclaims all copyright interest in the program
     `Gnomovision' (which makes passes at compilers) written by James Hacker.
     
     SIGNATURE OF TY COON, 1 April 1989
     Ty Coon, President of Vice

   This General Public License does not permit incorporating your
program into proprietary programs.  If your program is a subroutine
library, you may consider it more useful to permit linking proprietary
applications with the library.  If this is what you want to do, use the
GNU Library General Public License instead of this License.


File: bison.info,  Node: Concepts,  Next: Examples,  Prev: Copying,  Up: Top

The Concepts of Bison
*********************

   This chapter introduces many of the basic concepts without which the
details of Bison will not make sense.  If you do not already know how to
use Bison or Yacc, we suggest you start by reading this chapter
carefully.

* Menu:

* Language and Grammar::  Languages and context-free grammars,
                            as mathematical ideas.
* Grammar in Bison::  How we represent grammars for Bison's sake.
* Semantic Values::   Each token or syntactic grouping can have
                        a semantic value (the value of an integer,
                        the name of an identifier, etc.).
* Semantic Actions::  Each rule can have an action containing C code.
* Bison Parser::      What are Bison's input and output,
                        how is the output used?
* Stages::            Stages in writing and running Bison grammars.
* Grammar Layout::    Overall structure of a Bison grammar file.


File: bison.info,  Node: Language and Grammar,  Next: Grammar in Bison,  Up: Concepts

Languages and Context-Free Grammars
===================================

   In order for Bison to parse a language, it must be described by a
"context-free grammar".  This means that you specify one or more
"syntactic groupings" and give rules for constructing them from their
parts.  For example, in the C language, one kind of grouping is called
an `expression'.  One rule for making an expression might be, "An
expression can be made of a minus sign and another expression".
Another would be, "An expression can be an integer".  As you can see,
rules are often recursive, but there must be at least one rule which
leads out of the recursion.

   The most common formal system for presenting such rules for humans
to read is "Backus-Naur Form" or "BNF", which was developed in order to
specify the language Algol 60.  Any grammar expressed in BNF is a
context-free grammar.  The input to Bison is essentially
machine-readable BNF.

   Not all context-free languages can be handled by Bison, only those
that are LALR(1).  In brief, this means that it must be possible to
tell how to parse any portion of an input string with just a single
token of look-ahead.  Strictly speaking, that is a description of an
LR(1) grammar, and LALR(1) involves additional restrictions that are
hard to explain simply; but it is rare in actual practice to find an
LR(1) grammar that fails to be LALR(1).  *Note Mysterious Reduce/Reduce
Conflicts: Mystery Conflicts, for more information on this.

   In the formal grammatical rules for a language, each kind of
syntactic unit or grouping is named by a "symbol".  Those which are
built by grouping smaller constructs according to grammatical rules are
called "nonterminal symbols"; those which can't be subdivided are called
"terminal symbols" or "token types".  We call a piece of input
corresponding to a single terminal symbol a "token", and a piece
corresponding to a single nonterminal symbol a "grouping".

   We can use the C language as an example of what symbols, terminal and
nonterminal, mean.  The tokens of C are identifiers, constants (numeric
and string), and the various keywords, arithmetic operators and
punctuation marks.  So the terminal symbols of a grammar for C include
`identifier', `number', `string', plus one symbol for each keyword,
operator or punctuation mark: `if', `return', `const', `static', `int',
`char', `plus-sign', `open-brace', `close-brace', `comma' and many
more.  (These tokens can be subdivided into characters, but that is a
matter of lexicography, not grammar.)

   Here is a simple C function subdivided into tokens:

     int             /* keyword `int' */
     square (x)      /* identifier, open-paren, */
                     /* identifier, close-paren */
          int x;     /* keyword `int', identifier, semicolon */
     {               /* open-brace */
       return x * x; /* keyword `return', identifier, */
                     /* asterisk, identifier, semicolon */
     }               /* close-brace */

   The syntactic groupings of C include the expression, the statement,
the declaration, and the function definition.  These are represented in
the grammar of C by nonterminal symbols `expression', `statement',
`declaration' and `function definition'.  The full grammar uses dozens
of additional language constructs, each with its own nonterminal
symbol, in order to express the meanings of these four.  The example
above is a function definition; it contains one declaration, and one
statement.  In the statement, each `x' is an expression and so is `x *
x'.

   Each nonterminal symbol must have grammatical rules showing how it
is made out of simpler constructs.  For example, one kind of C
statement is the `return' statement; this would be described with a
grammar rule which reads informally as follows:

     A `statement' can be made of a `return' keyword, an `expression'
     and a `semicolon'.

There would be many other rules for `statement', one for each kind of
statement in C.

   One nonterminal symbol must be distinguished as the special one which
defines a complete utterance in the language.  It is called the "start
symbol".  In a compiler, this means a complete input program.  In the C
language, the nonterminal symbol `sequence of definitions and
declarations' plays this role.

   For example, `1 + 2' is a valid C expression--a valid part of a C
program--but it is not valid as an *entire* C program.  In the
context-free grammar of C, this follows from the fact that `expression'
is not the start symbol.

   The Bison parser reads a sequence of tokens as its input, and groups
the tokens using the grammar rules.  If the input is valid, the end
result is that the entire token sequence reduces to a single grouping
whose symbol is the grammar's start symbol.  If we use a grammar for C,
the entire input must be a `sequence of definitions and declarations'.
If not, the parser reports a syntax error.


File: bison.info,  Node: Grammar in Bison,  Next: Semantic Values,  Prev: Language and Grammar,  Up: Concepts

From Formal Rules to Bison Input
================================

   A formal grammar is a mathematical construct.  To define the language
for Bison, you must write a file expressing the grammar in Bison syntax:
a "Bison grammar" file.  *Note Bison Grammar Files: Grammar File.

   A nonterminal symbol in the formal grammar is represented in Bison
input as an identifier, like an identifier in C.  By convention, it
should be in lower case, such as `expr', `stmt' or `declaration'.

   The Bison representation for a terminal symbol is also called a
"token type".  Token types as well can be represented as C-like
identifiers.  By convention, these identifiers should be upper case to
distinguish them from nonterminals: for example, `INTEGER',
`IDENTIFIER', `IF' or `RETURN'.  A terminal symbol that stands for a
particular keyword in the language should be named after that keyword
converted to upper case.  The terminal symbol `error' is reserved for
error recovery.  *Note Symbols::.

   A terminal symbol can also be represented as a character literal,
just like a C character constant.  You should do this whenever a token
is just a single character (parenthesis, plus-sign, etc.): use that
same character in a literal as the terminal symbol for that token.

   The grammar rules also have an expression in Bison syntax.  For
example, here is the Bison rule for a C `return' statement.  The
semicolon in quotes is a literal character token, representing part of
the C syntax for the statement; the naked semicolon, and the colon, are
Bison punctuation used in every rule.

     stmt:   RETURN expr ';'
             ;

*Note Syntax of Grammar Rules: Rules.


File: bison.info,  Node: Semantic Values,  Next: Semantic Actions,  Prev: Grammar in Bison,  Up: Concepts

Semantic Values
===============

   A formal grammar selects tokens only by their classifications: for
example, if a rule mentions the terminal symbol `integer constant', it
means that *any* integer constant is grammatically valid in that
position.  The precise value of the constant is irrelevant to how to
parse the input: if `x+4' is grammatical then `x+1' or `x+3989' is
equally grammatical.

   But the precise value is very important for what the input means
once it is parsed.  A compiler is useless if it fails to distinguish
between 4, 1 and 3989 as constants in the program!  Therefore, each
token in a Bison grammar has both a token type and a "semantic value".
*Note Defining Language Semantics: Semantics, for details.

   The token type is a terminal symbol defined in the grammar, such as
`INTEGER', `IDENTIFIER' or `',''.  It tells everything you need to know
to decide where the token may validly appear and how to group it with
other tokens.  The grammar rules know nothing about tokens except their
types.

   The semantic value has all the rest of the information about the
meaning of the token, such as the value of an integer, or the name of an
identifier.  (A token such as `','' which is just punctuation doesn't
need to have any semantic value.)

   For example, an input token might be classified as token type
`INTEGER' and have the semantic value 4.  Another input token might
have the same token type `INTEGER' but value 3989.  When a grammar rule
says that `INTEGER' is allowed, either of these tokens is acceptable
because each is an `INTEGER'.  When the parser accepts the token, it
keeps track of the token's semantic value.

   Each grouping can also have a semantic value as well as its
nonterminal symbol.  For example, in a calculator, an expression
typically has a semantic value that is a number.  In a compiler for a
programming language, an expression typically has a semantic value that
is a tree structure describing the meaning of the expression.


File: bison.info,  Node: Semantic Actions,  Next: Bison Parser,  Prev: Semantic Values,  Up: Concepts

Semantic Actions
================

   In order to be useful, a program must do more than parse input; it
must also produce some output based on the input.  In a Bison grammar,
a grammar rule can have an "action" made up of C statements.  Each time
the parser recognizes a match for that rule, the action is executed.
*Note Actions::.

   Most of the time, the purpose of an action is to compute the
semantic value of the whole construct from the semantic values of its
parts.  For example, suppose we have a rule which says an expression
can be the sum of two expressions.  When the parser recognizes such a
sum, each of the subexpressions has a semantic value which describes
how it was built up.  The action for this rule should create a similar
sort of value for the newly recognized larger expression.

   For example, here is a rule that says an expression can be the sum of
two subexpressions:

     expr: expr '+' expr   { $$ = $1 + $3; }
             ;

The action says how to produce the semantic value of the sum expression
from the values of the two subexpressions.


File: bison.info,  Node: Bison Parser,  Next: Stages,  Prev: Semantic Actions,  Up: Concepts

Bison Output: the Parser File
=============================

   When you run Bison, you give it a Bison grammar file as input.  The
output is a C source file that parses the language described by the
grammar.  This file is called a "Bison parser".  Keep in mind that the
Bison utility and the Bison parser are two distinct programs: the Bison
utility is a program whose output is the Bison parser that becomes part
of your program.

   The job of the Bison parser is to group tokens into groupings
according to the grammar rules--for example, to build identifiers and
operators into expressions.  As it does this, it runs the actions for
the grammar rules it uses.

   The tokens come from a function called the "lexical analyzer" that
you must supply in some fashion (such as by writing it in C).  The
Bison parser calls the lexical analyzer each time it wants a new token.
It doesn't know what is "inside" the tokens (though their semantic
values may reflect this).  Typically the lexical analyzer makes the
tokens by parsing characters of text, but Bison does not depend on
this.  *Note The Lexical Analyzer Function `yylex': Lexical.

   The Bison parser file is C code which defines a function named
`yyparse' which implements that grammar.  This function does not make a
complete C program: you must supply some additional functions.  One is
the lexical analyzer.  Another is an error-reporting function which the
parser calls to report an error.  In addition, a complete C program must
start with a function called `main'; you have to provide this, and
arrange for it to call `yyparse' or the parser will never run.  *Note
Parser C-Language Interface: Interface.

   Aside from the token type names and the symbols in the actions you
write, all variable and function names used in the Bison parser file
begin with `yy' or `YY'.  This includes interface functions such as the
lexical analyzer function `yylex', the error reporting function
`yyerror' and the parser function `yyparse' itself.  This also includes
numerous identifiers used for internal purposes.  Therefore, you should
avoid using C identifiers starting with `yy' or `YY' in the Bison
grammar file except for the ones defined in this manual.


File: bison.info,  Node: Stages,  Next: Grammar Layout,  Prev: Bison Parser,  Up: Concepts

Stages in Using Bison
=====================

   The actual language-design process using Bison, from grammar
specification to a working compiler or interpreter, has these parts:

  1. Formally specify the grammar in a form recognized by Bison (*note
     Bison Grammar Files: Grammar File.).  For each grammatical rule in
     the language, describe the action that is to be taken when an
     instance of that rule is recognized.  The action is described by a
     sequence of C statements.

  2. Write a lexical analyzer to process input and pass tokens to the
     parser.  The lexical analyzer may be written by hand in C (*note
     The Lexical Analyzer Function `yylex': Lexical.).  It could also
     be produced using Lex, but the use of Lex is not discussed in this
     manual.

  3. Write a controlling function that calls the Bison-produced parser.

  4. Write error-reporting routines.

   To turn this source code as written into a runnable program, you
must follow these steps:

  1. Run Bison on the grammar to produce the parser.

  2. Compile the code output by Bison, as well as any other source
     files.

  3. Link the object files to produce the finished product.


File: bison.info,  Node: Grammar Layout,  Prev: Stages,  Up: Concepts

The Overall Layout of a Bison Grammar
=====================================

   The input file for the Bison utility is a "Bison grammar file".  The
general form of a Bison grammar file is as follows:

     %{
     C DECLARATIONS
     %}
     
     BISON DECLARATIONS
     
     %%
     GRAMMAR RULES
     %%
     ADDITIONAL C CODE

The `%%', `%{' and `%}' are punctuation that appears in every Bison
grammar file to separate the sections.

   The C declarations may define types and variables used in the
actions.  You can also use preprocessor commands to define macros used
there, and use `#include' to include header files that do any of these
things.

   The Bison declarations declare the names of the terminal and
nonterminal symbols, and may also describe operator precedence and the
data types of semantic values of various symbols.

   The grammar rules define how to construct each nonterminal symbol
from its parts.

   The additional C code can contain any C code you want to use.  Often
the definition of the lexical analyzer `yylex' goes here, plus
subroutines called by the actions in the grammar rules.  In a simple
program, all the rest of the program can go here.


File: bison.info,  Node: Examples,  Next: Grammar File,  Prev: Concepts,  Up: Top

Examples
********

   Now we show and explain three sample programs written using Bison: a
reverse polish notation calculator, an algebraic (infix) notation
calculator, and a multi-function calculator.  All three have been tested
under BSD Unix 4.3; each produces a usable, though limited, interactive
desk-top calculator.

   These examples are simple, but Bison grammars for real programming
languages are written the same way.  You can copy these examples out of
the Info file and into a source file to try them.

* Menu:

* RPN Calc::          Reverse polish notation calculator;
                        a first example with no operator precedence.
* Infix Calc::        Infix (algebraic) notation calculator.
                        Operator precedence is introduced.
* Simple Error Recovery::  Continuing after syntax errors.
* Multi-function Calc::  Calculator with memory and trig functions.
                           It uses multiple data-types for semantic values.
* Exercises::         Ideas for improving the multi-function calculator.


File: bison.info,  Node: RPN Calc,  Next: Infix Calc,  Up: Examples

Reverse Polish Notation Calculator
==================================

   The first example is that of a simple double-precision "reverse
polish notation" calculator (a calculator using postfix operators).
This example provides a good starting point, since operator precedence
is not an issue.  The second example will illustrate how operator
precedence is handled.

   The source code for this calculator is named `rpcalc.y'.  The `.y'
extension is a convention used for Bison input files.

* Menu:

* Decls: Rpcalc Decls.  Bison and C declarations for rpcalc.
* Rules: Rpcalc Rules.  Grammar Rules for rpcalc, with explanation.
* Lexer: Rpcalc Lexer.  The lexical analyzer.
* Main: Rpcalc Main.    The controlling function.
* Error: Rpcalc Error.  The error reporting function.
* Gen: Rpcalc Gen.      Running Bison on the grammar file.
* Comp: Rpcalc Compile. Run the C compiler on the output code.


File: bison.info,  Node: Rpcalc Decls,  Next: Rpcalc Rules,  Up: RPN Calc

Declarations for `rpcalc'
-------------------------

   Here are the C and Bison declarations for the reverse polish notation
calculator.  As in C, comments are placed between `/*...*/'.

     /* Reverse polish notation calculator. */
     
     %{
     #define YYSTYPE double
     #include <math.h>
     %}
     
     %token NUM
     
     %% /* Grammar rules and actions follow */

   The C declarations section (*note The C Declarations Section: C
Declarations.) contains two preprocessor directives.

   The `#define' directive defines the macro `YYSTYPE', thus specifying
the C data type for semantic values of both tokens and groupings (*note
Data Types of Semantic Values: Value Type.).  The Bison parser will use
whatever type `YYSTYPE' is defined as; if you don't define it, `int' is
the default.  Because we specify `double', each token and each
expression has an associated value, which is a floating point number.

   The `#include' directive is used to declare the exponentiation
function `pow'.

   The second section, Bison declarations, provides information to
Bison about the token types (*note The Bison Declarations Section:
Bison Declarations.).  Each terminal symbol that is not a
single-character literal must be declared here.  (Single-character
literals normally don't need to be declared.)  In this example, all the
arithmetic operators are designated by single-character literals, so the
only terminal symbol that needs to be declared is `NUM', the token type
for numeric constants.