1643 lines
56 KiB
HTML
1643 lines
56 KiB
HTML
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<html>
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<head>
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<title>PLY (Python Lex-Yacc)</title>
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</head>
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<body bgcolor="#ffffff">
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<h1>PLY (Python Lex-Yacc)</h1>
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<b>
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David M. Beazley <br>
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Department of Computer Science <br>
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University of Chicago <br>
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Chicago, IL 60637 <br>
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beazley@cs.uchicago.edu <br>
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</b>
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<p>
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Documentation version: $Header: /home/stever/bk/newmem2/ext/ply/doc/ply.html 1.1 03/06/06 14:53:34-00:00 stever@ $
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<h2>Introduction</h2>
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PLY is a Python-only implementation of the popular compiler
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construction tools lex and yacc. The implementation borrows ideas
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from a number of previous efforts; most notably John Aycock's SPARK
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toolkit. However, the overall flavor of the implementation is more
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closely modeled after the C version of lex and yacc. The other
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significant feature of PLY is that it provides extensive input
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validation and error reporting--much more so than other Python parsing
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tools.
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<p>
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Early versions of PLY were developed to support the Introduction to
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Compilers Course at the University of Chicago. In this course,
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students built a fully functional compiler for a simple Pascal-like
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language. Their compiler, implemented entirely in Python, had to
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include lexical analysis, parsing, type checking, type inference,
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nested scoping, and code generation for the SPARC processor.
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Approximately 30 different compiler implementations were completed in
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this course. Most of PLY's interface and operation has been motivated by common
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usability problems encountered by students.
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<p>
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Because PLY was primarily developed as an instructional tool, you will
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find it to be <em>MUCH</em> more picky about token and grammar rule
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specification than most other Python parsing tools. In part, this
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added formality is meant to catch common programming mistakes made by
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novice users. However, advanced users will also find such features to
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be useful when building complicated grammars for real programming
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languages. It should also be noted that PLY does not provide much in the way
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of bells and whistles (e.g., automatic construction of abstract syntax trees,
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tree traversal, etc.). Instead, you will find a bare-bones, yet
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fully capable lex/yacc implementation written entirely in Python.
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<p>
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The rest of this document assumes that you are somewhat familar with
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parsing theory, syntax directed translation, and automatic tools such
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as lex and yacc. If you are unfamilar with these topics, you will
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probably want to consult an introductory text such as "Compilers:
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Principles, Techniques, and Tools", by Aho, Sethi, and Ullman. "Lex
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and Yacc" by John Levine may also be handy.
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<h2>PLY Overview</h2>
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PLY consists of two separate tools; <tt>lex.py</tt> and
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<tt>yacc.py</tt>. <tt>lex.py</tt> is used to break input text into a
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collection of tokens specified by a collection of regular expression
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rules. <tt>yacc.py</tt> is used to recognize language syntax that has
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been specified in the form of a context free grammar. Currently,
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<tt>yacc.py</tt> uses LR parsing and generates its parsing tables
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using the SLR algorithm. LALR(1) parsing may be supported in a future
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release.
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<p>
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The two tools are meant to work together. Specifically,
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<tt>lex.py</tt> provides an external interface in the form of a
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<tt>token()</tt> function that returns the next valid token on the
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input stream. <tt>yacc.py</tt> calls this repeatedly to retrieve
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tokens and invoke grammar rules. The output of <tt>yacc.py</tt> is
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often an Abstract Syntax Tree (AST). However, this is entirely up to
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the user. If desired, <tt>yacc.py</tt> can also be used to implement
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simple one-pass compilers.
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<p>
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Like its Unix counterpart, <tt>yacc.py</tt> provides most of the
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features you expect including extensive error checking, grammar
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validation, support for empty productions, error tokens, and ambiguity
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resolution via precedence rules. The primary difference between
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<tt>yacc.py</tt> and <tt>yacc</tt> is the use of SLR parsing instead
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of LALR(1). Although this slightly restricts the types of grammars
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than can be successfully parsed, it is sufficiently powerful to handle most
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kinds of normal programming language constructs.
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<p>
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Finally, it is important to note that PLY relies on reflection
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(introspection) to build its lexers and parsers. Unlike traditional
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lex/yacc which require a special input file that is converted into a
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separate source file, the specifications given to PLY <em>are</em>
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valid Python programs. This means that there are no extra source
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files nor is there a special compiler construction step (e.g., running
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yacc to generate Python code for the compiler).
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<h2>Lex Example</h2>
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<tt>lex.py</tt> is used to write tokenizers. To do this, each token
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must be defined by a regular expression rule. The following file
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implements a very simple lexer for tokenizing simple integer expressions:
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<blockquote>
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<pre>
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# ------------------------------------------------------------
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# calclex.py
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#
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# tokenizer for a simple expression evaluator for
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# numbers and +,-,*,/
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# ------------------------------------------------------------
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import lex
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# List of token names. This is always required
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tokens = (
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'NUMBER',
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'PLUS',
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'MINUS',
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'TIMES',
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'DIVIDE',
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'LPAREN',
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'RPAREN',
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)
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# Regular expression rules for simple tokens
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t_PLUS = r'\+'
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t_MINUS = r'-'
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t_TIMES = r'\*'
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t_DIVIDE = r'/'
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t_LPAREN = r'\('
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t_RPAREN = r'\)'
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# A regular expression rule with some action code
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def t_NUMBER(t):
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r'\d+'
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try:
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t.value = int(t.value)
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except ValueError:
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print "Line %d: Number %s is too large!" % (t.lineno,t.value)
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t.value = 0
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return t
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# Define a rule so we can track line numbers
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def t_newline(t):
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r'\n+'
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t.lineno += len(t.value)
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# A string containing ignored characters (spaces and tabs)
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t_ignore = ' \t'
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# Error handling rule
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def t_error(t):
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print "Illegal character '%s'" % t.value[0]
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t.skip(1)
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# Build the lexer
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lex.lex()
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# Test it out
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data = '''
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3 + 4 * 10
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+ -20 *2
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'''
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# Give the lexer some input
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lex.input(data)
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# Tokenize
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while 1:
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tok = lex.token()
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if not tok: break # No more input
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print tok
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</pre>
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</blockquote>
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In the example, the <tt>tokens</tt> list defines all of the possible
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token names that can be produced by the lexer. This list is always required
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and is used to perform a variety of validation checks. Following the <tt>tokens</tt>
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list, regular expressions are written for each token. Each of these
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rules are defined by making declarations with a special prefix <tt>t_</tt> to indicate that it
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defines a token. For simple tokens, the regular expression can
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be specified as strings such as this (note: Python raw strings are used since they are the
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most convenient way to write regular expression strings):
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<blockquote>
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<pre>
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t_PLUS = r'\+'
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</pre>
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</blockquote>
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In this case, the name following the <tt>t_</tt> must exactly match one of the
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names supplied in <tt>tokens</tt>. If some kind of action needs to be performed,
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a token rule can be specified as a function. For example:
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<blockquote>
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<pre>
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def t_NUMBER(t):
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r'\d+'
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try:
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t.value = int(t.value)
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except ValueError:
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print "Number %s is too large!" % t.value
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t.value = 0
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return t
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</pre>
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</blockquote>
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In this case, the regular expression rule is specified in the function documentation string.
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The function always takes a single argument which is an instance of
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<tt>LexToken</tt>. This object has attributes of <tt>t.type</tt> which is the token type,
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<tt>t.value</tt> which is the lexeme, and <tt>t.lineno</tt> which is the current line number.
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By default, <tt>t.type</tt> is set to the name following the <tt>t_</tt> prefix. The action
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function can modify the contents of the <tt>LexToken</tt> object as appropriate. However,
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when it is done, the resulting token should be returned. If no value is returned by the action
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function, the token is simply discarded and the next token read.
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<p>
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The rule <tt>t_newline()</tt> illustrates a regular expression rule
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for a discarded token. In this case, a rule is written to match
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newlines so that proper line number tracking can be performed.
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By returning no value, the function causes the newline character to be
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discarded.
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<p>
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The special <tt>t_ignore</tt> rule is reserved by <tt>lex.py</tt> for characters
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that should be completely ignored in the input stream.
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Usually this is used to skip over whitespace and other non-essential characters.
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Although it is possible to define a regular expression rule for whitespace in a manner
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similar to <tt>t_newline()</tt>, the use of <tt>t_ignore</tt> provides substantially better
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lexing performance because it is handled as a special case and is checked in a much
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more efficient manner than the normal regular expression rules.
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<p>
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Finally, the <tt>t_error()</tt>
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function is used to handle lexing errors that occur when illegal
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characters are detected. In this case, the <tt>t.value</tt> attribute contains the
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rest of the input string that has not been tokenized. In the example, we simply print
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the offending character and skip ahead one character by calling <tt>t.skip(1)</tt>.
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<p>
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To build the lexer, the function <tt>lex.lex()</tt> is used. This function
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uses Python reflection (or introspection) to read the the regular expression rules
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out of the calling context and build the lexer. Once the lexer has been built, two functions can
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be used to control the lexer.
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<ul>
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<li><tt>lex.input(data)</tt>. Reset the lexer and store a new input string.
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<li><tt>lex.token()</tt>. Return the next token. Returns a special <tt>LexToken</tt> instance on success or
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None if the end of the input text has been reached.
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</ul>
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The code at the bottom of the example shows how the lexer is actually used. When executed,
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the following output will be produced:
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<blockquote>
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<pre>
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$ python example.py
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LexToken(NUMBER,3,2)
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LexToken(PLUS,'+',2)
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LexToken(NUMBER,4,2)
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LexToken(TIMES,'*',2)
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LexToken(NUMBER,10,2)
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LexToken(PLUS,'+',3)
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LexToken(MINUS,'-',3)
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LexToken(NUMBER,20,3)
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LexToken(TIMES,'*',3)
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LexToken(NUMBER,2,3)
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</pre>
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</blockquote>
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<h2>Lex Implementation Notes</h2>
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<ul>
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<li><tt>lex.py</tt> uses the <tt>re</tt> module to do its patten matching. When building the master regular expression,
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rules are added in the following order:
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<p>
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<ol>
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<li>All tokens defined by functions are added in the same order as they appear in the lexer file.
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<li>Tokens defined by strings are added by sorting them in order of decreasing regular expression length (longer expressions
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are added first).
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</ol>
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<p>
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Without this ordering, it can be difficult to correctly match certain types of tokens. For example, if you
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wanted to have separate tokens for "=" and "==", you need to make sure that "==" is checked first. By sorting regular
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expressions in order of decreasing length, this problem is solved for rules defined as strings. For functions,
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the order can be explicitly controlled since rules appearing first are checked first.
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<P>
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<li>The lexer requires input to be supplied as a single input string. Since most machines have more than enough memory, this
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rarely presents a performance concern. However, it means that the lexer currently can't be used with streaming data
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such as open files or sockets. This limitation is primarily a side-effect of using the <tt>re</tt> module.
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<p>
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<li>
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To handle reserved words, it is usually easier to just match an identifier and do a special name lookup in a function
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like this:
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<blockquote>
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<pre>
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reserved = {
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'if' : 'IF',
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'then' : 'THEN',
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'else' : 'ELSE',
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'while' : 'WHILE',
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...
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}
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def t_ID(t):
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r'[a-zA-Z_][a-zA-Z_0-9]*'
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t.type = reserved.get(t.value,'ID') # Check for reserved words
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return t
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</pre>
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</blockquote>
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<p>
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<li>The lexer requires tokens to be defined as class instances with <tt>t.type</tt>, <tt>t.value</tt>, and <tt>t.lineno</tt>
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attributes. By default, tokens are created as instances of the <tt>LexToken</tt> class defined internally to <tt>lex.py</tt>.
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If desired, you can create new kinds of tokens provided that they have the three required attributes. However,
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in practice, it is probably safer to stick with the default.
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<p>
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<li>The only safe attribute for assigning token properties is <tt>t.value</tt>. In some cases, you may want to attach
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a number of different properties to a token (e.g., symbol table entries for identifiers). To do this, replace <tt>t.value</tt>
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with a tuple or class instance. For example:
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<blockquote>
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<pre>
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def t_ID(t):
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...
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# For identifiers, create a (lexeme, symtab) tuple
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t.value = (t.value, symbol_lookup(t.value))
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...
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return t
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</pre>
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</blockquote>
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Although allowed, do NOT assign additional attributes to the token object. For example,
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<blockquote>
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<pre>
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def t_ID(t):
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...
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# Bad implementation of above
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t.symtab = symbol_lookup(t.value)
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...
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</pre>
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</blockquote>
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The reason you don't want to do this is that the <tt>yacc.py</tt>
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module only provides public access to the <tt>t.value</tt> attribute of each token.
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Therefore, any other attributes you assign are inaccessible (if you are familiar
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with the internals of C lex/yacc, <tt>t.value</tt> is the same as <tt>yylval.tok</tt>).
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<p>
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<li>To track line numbers, the lexer internally maintains a line
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number variable. Each token automatically gets the value of the
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current line number in the <tt>t.lineno</tt> attribute. To modify the
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current line number, simply change the <tt>t.lineno</tt> attribute
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in a function rule (as previously shown for
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<tt>t_newline()</tt>). Even if the resulting token is discarded,
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changes to the line number remain in effect for subsequent tokens.
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<p>
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<li>To support multiple scanners in the same application, the <tt>lex.lex()</tt> function
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actually returns a special <tt>Lexer</tt> object. This object has two methods
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<tt>input()</tt> and <tt>token()</tt> that can be used to supply input and get tokens. For example:
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<blockquote>
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<pre>
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lexer = lex.lex()
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lexer.input(sometext)
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while 1:
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tok = lexer.token()
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if not tok: break
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print tok
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</pre>
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</blockquote>
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The functions <tt>lex.input()</tt> and <tt>lex.token()</tt> are bound to the <tt>input()</tt>
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and <tt>token()</tt> methods of the last lexer created by the lex module.
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<p>
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<li>To reduce compiler startup time and improve performance, the lexer can be built in optimized mode as follows:
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<blockquote>
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<pre>
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lex.lex(optimize=1)
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</pre>
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</blockquote>
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When used, most error checking and validation is disabled. This provides a slight performance
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gain while tokenizing and tends to chop a few tenths of a second off startup time. Since it disables
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error checking, this mode is not the default and is not recommended during development. However, once
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you have your compiler fully working, it is usually safe to disable the error checks.
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<p>
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<li>You can enable some additional debugging by building the lexer like this:
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<blockquote>
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<pre>
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lex.lex(debug=1)
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</pre>
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</blockquote>
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<p>
|
||
|
<li>To help you debug your lexer, <tt>lex.py</tt> comes with a simple main program which will either
|
||
|
tokenize input read from standard input or from a file. To use it, simply put this in your lexer:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
if __name__ == '__main__':
|
||
|
lex.runmain()
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Then, run you lexer as a main program such as <tt>python mylex.py</tt>
|
||
|
|
||
|
<p>
|
||
|
<li>Since the lexer is written entirely in Python, its performance is
|
||
|
largely determined by that of the Python <tt>re</tt> module. Although
|
||
|
the lexer has been written to be as efficient as possible, it's not
|
||
|
blazingly fast when used on very large input files. Sorry. If
|
||
|
performance is concern, you might consider upgrading to the most
|
||
|
recent version of Python, creating a hand-written lexer, or offloading
|
||
|
the lexer into a C extension module. In defense of <tt>lex.py</tt>,
|
||
|
it's performance is not <em>that</em> bad when used on reasonably
|
||
|
sized input files. For instance, lexing a 4700 line C program with
|
||
|
32000 input tokens takes about 20 seconds on a 200 Mhz PC. Obviously,
|
||
|
it will run much faster on a more speedy machine.
|
||
|
|
||
|
</ul>
|
||
|
|
||
|
<h2>Parsing basics</h2>
|
||
|
|
||
|
<tt>yacc.py</tt> is used to parse language syntax. Before showing an
|
||
|
example, there are a few important bits of background that must be
|
||
|
mentioned. First, <tt>syntax</tt> is usually specified in terms of a
|
||
|
context free grammar (CFG). For example, if you wanted to parse
|
||
|
simple arithmetic expressions, you might first write an unambiguous
|
||
|
grammar specification like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
expression : expression + term
|
||
|
| expression - term
|
||
|
| term
|
||
|
|
||
|
term : term * factor
|
||
|
| term / factor
|
||
|
| factor
|
||
|
|
||
|
factor : NUMBER
|
||
|
| ( expression )
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Next, the semantic behavior of a language is often specified using a
|
||
|
technique known as syntax directed translation. In syntax directed
|
||
|
translation, attributes are attached to each symbol in a given grammar
|
||
|
rule along with an action. Whenever a particular grammar rule is
|
||
|
recognized, the action describes what to do. For example, given the
|
||
|
expression grammar above, you might write the specification for a
|
||
|
simple calculator like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
Grammar Action
|
||
|
-------------------------------- --------------------------------------------
|
||
|
expression0 : expression1 + term expression0.val = expression1.val + term.val
|
||
|
| expression1 - term expression0.val = expression1.val - term.val
|
||
|
| term expression0.val = term.val
|
||
|
|
||
|
term0 : term1 * factor term0.val = term1.val * factor.val
|
||
|
| term1 / factor term0.val = term1.val / factor.val
|
||
|
| factor term0.val = factor.val
|
||
|
|
||
|
factor : NUMBER factor.val = int(NUMBER.lexval)
|
||
|
| ( expression ) factor.val = expression.val
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Finally, Yacc uses a parsing technique known as LR-parsing or shift-reduce parsing. LR parsing is a
|
||
|
bottom up technique that tries to recognize the right-hand-side of various grammar rules.
|
||
|
Whenever a valid right-hand-side is found in the input, the appropriate action code is triggered and the
|
||
|
grammar symbols are replaced by the grammar symbol on the left-hand-side.
|
||
|
|
||
|
<p>
|
||
|
LR parsing is commonly implemented by shifting grammar symbols onto a stack and looking at the stack and the next
|
||
|
input token for patterns. The details of the algorithm can be found in a compiler text, but the
|
||
|
following example illustrates the steps that are performed if you wanted to parse the expression
|
||
|
<tt>3 + 5 * (10 - 20)</tt> using the grammar defined above:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
Step Symbol Stack Input Tokens Action
|
||
|
---- --------------------- --------------------- -------------------------------
|
||
|
1 $ 3 + 5 * ( 10 - 20 )$ Shift 3
|
||
|
2 $ 3 + 5 * ( 10 - 20 )$ Reduce factor : NUMBER
|
||
|
3 $ factor + 5 * ( 10 - 20 )$ Reduce term : factor
|
||
|
4 $ term + 5 * ( 10 - 20 )$ Reduce expr : term
|
||
|
5 $ expr + 5 * ( 10 - 20 )$ Shift +
|
||
|
6 $ expr + 5 * ( 10 - 20 )$ Shift 5
|
||
|
7 $ expr + 5 * ( 10 - 20 )$ Reduce factor : NUMBER
|
||
|
8 $ expr + factor * ( 10 - 20 )$ Reduce term : factor
|
||
|
9 $ expr + term * ( 10 - 20 )$ Shift *
|
||
|
10 $ expr + term * ( 10 - 20 )$ Shift (
|
||
|
11 $ expr + term * ( 10 - 20 )$ Shift 10
|
||
|
12 $ expr + term * ( 10 - 20 )$ Reduce factor : NUMBER
|
||
|
13 $ expr + term * ( factor - 20 )$ Reduce term : factor
|
||
|
14 $ expr + term * ( term - 20 )$ Reduce expr : term
|
||
|
15 $ expr + term * ( expr - 20 )$ Shift -
|
||
|
16 $ expr + term * ( expr - 20 )$ Shift 20
|
||
|
17 $ expr + term * ( expr - 20 )$ Reduce factor : NUMBER
|
||
|
18 $ expr + term * ( expr - factor )$ Reduce term : factor
|
||
|
19 $ expr + term * ( expr - term )$ Reduce expr : expr - term
|
||
|
20 $ expr + term * ( expr )$ Shift )
|
||
|
21 $ expr + term * ( expr ) $ Reduce factor : (expr)
|
||
|
22 $ expr + term * factor $ Reduce term : term * factor
|
||
|
23 $ expr + term $ Reduce expr : expr + term
|
||
|
24 $ expr $ Reduce expr
|
||
|
25 $ $ Success!
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
When parsing the expression, an underlying state machine and the current input token determine what to do next.
|
||
|
If the next token looks like part of a valid grammar rule (based on other items on the stack), it is generally shifted
|
||
|
onto the stack. If the top of the stack contains a valid right-hand-side of a grammar rule, it is
|
||
|
usually "reduced" and the symbols replaced with the symbol on the left-hand-side. When this reduction occurs, the
|
||
|
appropriate action is triggered (if defined). If the input token can't be shifted and the top of stack doesn't match
|
||
|
any grammar rules, a syntax error has occurred and the parser must take some kind of recovery step (or bail out).
|
||
|
|
||
|
<p>
|
||
|
It is important to note that the underlying implementation is actually built around a large finite-state machine
|
||
|
and some tables. The construction of these tables is quite complicated and beyond the scope of this discussion.
|
||
|
However, subtle details of this process explain why, in the example above, the parser chooses to shift a token
|
||
|
onto the stack in step 9 rather than reducing the rule <tt>expr : expr + term</tt>.
|
||
|
|
||
|
<h2>Yacc example</h2>
|
||
|
|
||
|
Suppose you wanted to make a grammar for simple arithmetic expressions as previously described. Here is
|
||
|
how you would do it with <tt>yacc.py</tt>:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
# Yacc example
|
||
|
|
||
|
import yacc
|
||
|
|
||
|
# Get the token map from the lexer. This is required.
|
||
|
from calclex import tokens
|
||
|
|
||
|
def p_expression_plus(t):
|
||
|
'expression : expression PLUS term'
|
||
|
t[0] = t[1] + t[3]
|
||
|
|
||
|
def p_expression_minus(t):
|
||
|
'expression : expression MINUS term'
|
||
|
t[0] = t[1] - t[3]
|
||
|
|
||
|
def p_expression_term(t):
|
||
|
'expression : term'
|
||
|
t[0] = t[1]
|
||
|
|
||
|
def p_term_times(t):
|
||
|
'term : term TIMES factor'
|
||
|
t[0] = t[1] * t[3]
|
||
|
|
||
|
def p_term_div(t):
|
||
|
'term : term DIVIDE factor'
|
||
|
t[0] = t[1] / t[3]
|
||
|
|
||
|
def p_term_factor(t):
|
||
|
'term : factor'
|
||
|
t[0] = t[1]
|
||
|
|
||
|
def p_factor_num(t):
|
||
|
'factor : NUMBER'
|
||
|
t[0] = t[1]
|
||
|
|
||
|
def p_factor_expr(t):
|
||
|
'factor : LPAREN expression RPAREN'
|
||
|
t[0] = t[2]
|
||
|
|
||
|
# Error rule for syntax errors
|
||
|
def p_error(t):
|
||
|
print "Syntax error in input!"
|
||
|
|
||
|
# Build the parser
|
||
|
yacc.yacc()
|
||
|
|
||
|
while 1:
|
||
|
try:
|
||
|
s = raw_input('calc > ')
|
||
|
except EOFError:
|
||
|
break
|
||
|
if not s: continue
|
||
|
result = yacc.parse(s)
|
||
|
print result
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In this example, each grammar rule is defined by a Python function where the docstring to that function contains the
|
||
|
appropriate context-free grammar specification (an idea borrowed from John Aycock's SPARK toolkit). Each function accepts a single
|
||
|
argument <tt>t</tt> that is a sequence containing the values of each grammar symbol in the corresponding rule. The values of
|
||
|
<tt>t[i]</tt> are mapped to grammar symbols as shown here:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_expression_plus(t):
|
||
|
'expression : expression PLUS term'
|
||
|
# ^ ^ ^ ^
|
||
|
# t[0] t[1] t[2] t[3]
|
||
|
|
||
|
t[0] = t[1] + t[3]
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
For tokens, the "value" in the corresponding <tt>t[i]</tt> is the
|
||
|
<em>same</em> as the value of the <tt>t.value</tt> attribute assigned
|
||
|
in the lexer module. For non-terminals, the value is determined by
|
||
|
whatever is placed in <tt>t[0]</tt> when rules are reduced. This
|
||
|
value can be anything at all. However, it probably most common for
|
||
|
the value to be a simple Python type, a tuple, or an instance. In this example, we
|
||
|
are relying on the fact that the <tt>NUMBER</tt> token stores an integer value in its value
|
||
|
field. All of the other rules simply perform various types of integer operations and store
|
||
|
the result.
|
||
|
|
||
|
<p>
|
||
|
The first rule defined in the yacc specification determines the starting grammar
|
||
|
symbol (in this case, a rule for <tt>expression</tt> appears first). Whenever
|
||
|
the starting rule is reduced by the parser and no more input is available, parsing
|
||
|
stops and the final value is returned (this value will be whatever the top-most rule
|
||
|
placed in <tt>t[0]</tt>).
|
||
|
|
||
|
<p>The <tt>p_error(t)</tt> rule is defined to catch syntax errors. See the error handling section
|
||
|
below for more detail.
|
||
|
|
||
|
<p>
|
||
|
To build the parser, call the <tt>yacc.yacc()</tt> function. This function
|
||
|
looks at the module and attempts to construct all of the LR parsing tables for the grammar
|
||
|
you have specified. The first time <tt>yacc.yacc()</tt> is invoked, you will get a message
|
||
|
such as this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
$ python calcparse.py
|
||
|
yacc: Generating SLR parsing table...
|
||
|
calc >
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Since table construction is relatively expensive (especially for large
|
||
|
grammars), the resulting parsing table is written to the current
|
||
|
directory in a file called <tt>parsetab.py</tt>. In addition, a
|
||
|
debugging file called <tt>parser.out</tt> is created. On subsequent
|
||
|
executions, <tt>yacc</tt> will reload the table from
|
||
|
<tt>parsetab.py</tt> unless it has detected a change in the underlying
|
||
|
grammar (in which case the tables and <tt>parsetab.py</tt> file are
|
||
|
regenerated).
|
||
|
|
||
|
<p>
|
||
|
If any errors are detected in your grammar specification, <tt>yacc.py</tt> will produce
|
||
|
diagnostic messages and possibly raise an exception. Some of the errors that can be detected include:
|
||
|
|
||
|
<ul>
|
||
|
<li>Duplicated function names (if more than one rule function have the same name in the grammar file).
|
||
|
<li>Shift/reduce and reduce/reduce conflicts generated by ambiguous grammars.
|
||
|
<li>Badly specified grammar rules.
|
||
|
<li>Infinite recursion (rules that can never terminate).
|
||
|
<li>Unused rules and tokens
|
||
|
<li>Undefined rules and tokens
|
||
|
</ul>
|
||
|
|
||
|
The next few sections now discuss a few finer points of grammar construction.
|
||
|
|
||
|
<h2>Combining Grammar Rule Functions</h2>
|
||
|
|
||
|
When grammar rules are similar, they can be combined into a single function.
|
||
|
For example, consider the two rules in our earlier example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_expression_plus(t):
|
||
|
'expression : expression PLUS term'
|
||
|
t[0] = t[1] + t[3]
|
||
|
|
||
|
def p_expression_minus(t):
|
||
|
'expression : expression MINUS term'
|
||
|
t[0] = t[1] - t[3]
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Instead of writing two functions, you might write a single function like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_expression(t):
|
||
|
'''expression : expression PLUS term
|
||
|
| expression MINUS term'''
|
||
|
if t[2] == '+':
|
||
|
t[0] = t[1] + t[3]
|
||
|
elif t[2] == '-':
|
||
|
t[0] = t[1] - t[3]
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In general, the doc string for any given function can contain multiple grammar rules. So, it would
|
||
|
have also been legal (although possibly confusing) to write this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_binary_operators(t):
|
||
|
'''expression : expression PLUS term
|
||
|
| expression MINUS term
|
||
|
term : term TIMES factor
|
||
|
| term DIVIDE factor'''
|
||
|
if t[2] == '+':
|
||
|
t[0] = t[1] + t[3]
|
||
|
elif t[2] == '-':
|
||
|
t[0] = t[1] - t[3]
|
||
|
elif t[2] == '*':
|
||
|
t[0] = t[1] * t[3]
|
||
|
elif t[2] == '/':
|
||
|
t[0] = t[1] / t[3]
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
When combining grammar rules into a single function, it is usually a good idea for all of the rules to have
|
||
|
a similar structure (e.g., the same number of terms). Otherwise, the corresponding action code may be more
|
||
|
complicated than necessary.
|
||
|
|
||
|
<h2>Empty Productions</h2>
|
||
|
|
||
|
<tt>yacc.py</tt> can handle empty productions by defining a rule like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_empty(t):
|
||
|
'empty :'
|
||
|
pass
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Now to use the empty production, simply use 'empty' as a symbol. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_optitem(t):
|
||
|
'optitem : item'
|
||
|
' | empty'
|
||
|
...
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<h2>Dealing With Ambiguous Grammars</h2>
|
||
|
|
||
|
The expression grammar given in the earlier example has been written in a special format to eliminate ambiguity.
|
||
|
However, in many situations, it is extremely difficult or awkward to write grammars in this format. A
|
||
|
much more natural way to express the grammar is in a more compact form like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
expression : expression PLUS expression
|
||
|
| expression MINUS expression
|
||
|
| expression TIMES expression
|
||
|
| expression DIVIDE expression
|
||
|
| LPAREN expression RPAREN
|
||
|
| NUMBER
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Unfortunately, this grammar specification is ambiguous. For example, if you are parsing the string
|
||
|
"3 * 4 + 5", there is no way to tell how the operators are supposed to be grouped.
|
||
|
For example, does this expression mean "(3 * 4) + 5" or is it "3 * (4+5)"?
|
||
|
|
||
|
<p>
|
||
|
When an ambiguous grammar is given to <tt>yacc.py</tt> it will print messages about "shift/reduce conflicts"
|
||
|
or a "reduce/reduce conflicts". A shift/reduce conflict is caused when the parser generator can't decide
|
||
|
whether or not to reduce a rule or shift a symbol on the parsing stack. For example, consider
|
||
|
the string "3 * 4 + 5" and the internal parsing stack:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
Step Symbol Stack Input Tokens Action
|
||
|
---- --------------------- --------------------- -------------------------------
|
||
|
1 $ 3 * 4 + 5$ Shift 3
|
||
|
2 $ 3 * 4 + 5$ Reduce : expression : NUMBER
|
||
|
3 $ expr * 4 + 5$ Shift *
|
||
|
4 $ expr * 4 + 5$ Shift 4
|
||
|
5 $ expr * 4 + 5$ Reduce: expression : NUMBER
|
||
|
6 $ expr * expr + 5$ SHIFT/REDUCE CONFLICT ????
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In this case, when the parser reaches step 6, it has two options. One is the reduce the
|
||
|
rule <tt>expr : expr * expr</tt> on the stack. The other option is to shift the
|
||
|
token <tt>+</tt> on the stack. Both options are perfectly legal from the rules
|
||
|
of the context-free-grammar.
|
||
|
|
||
|
<p>
|
||
|
By default, all shift/reduce conflicts are resolved in favor of shifting. Therefore, in the above
|
||
|
example, the parser will always shift the <tt>+</tt> instead of reducing. Although this
|
||
|
strategy works in many cases (including the ambiguous if-then-else), it is not enough for arithmetic
|
||
|
expressions. In fact, in the above example, the decision to shift <tt>+</tt> is completely wrong---we should have
|
||
|
reduced <tt>expr * expr</tt> since multiplication has higher precedence than addition.
|
||
|
|
||
|
<p>To resolve ambiguity, especially in expression grammars, <tt>yacc.py</tt> allows individual
|
||
|
tokens to be assigned a precedence level and associativity. This is done by adding a variable
|
||
|
<tt>precedence</tt> to the grammar file like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
precedence = (
|
||
|
('left', 'PLUS', 'MINUS'),
|
||
|
('left', 'TIMES', 'DIVIDE'),
|
||
|
)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
This declaration specifies that <tt>PLUS</tt>/<tt>MINUS</tt> have
|
||
|
the same precedence level and are left-associative and that
|
||
|
<tt>TIMES</tt>/<tt>DIVIDE</tt> have the same precedence and are left-associative.
|
||
|
Furthermore, the declaration specifies that <tt>TIMES</tt>/<tt>DIVIDE</tt> have higher
|
||
|
precedence than <tt>PLUS</tt>/<tt>MINUS</tt> (since they appear later in the
|
||
|
precedence specification).
|
||
|
|
||
|
<p>
|
||
|
The precedence specification is used to attach a numerical precedence value and associativity direction
|
||
|
to each grammar rule. This is always determined by the precedence of the right-most terminal symbol. Therefore,
|
||
|
if PLUS/MINUS had a precedence of 1 and TIMES/DIVIDE had a precedence of 2, the grammar rules
|
||
|
would have precedence values as follows:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
expression : expression PLUS expression # prec = 1, left
|
||
|
| expression MINUS expression # prec = 1, left
|
||
|
| expression TIMES expression # prec = 2, left
|
||
|
| expression DIVIDE expression # prec = 2, left
|
||
|
| LPAREN expression RPAREN # prec = unknown
|
||
|
| NUMBER # prec = unknown
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
When shift/reduce conflicts are encountered, the parser generator resolves the conflict by
|
||
|
looking at the precedence rules and associativity specifiers.
|
||
|
|
||
|
<p>
|
||
|
<ol>
|
||
|
<li>If the current token has higher precedence, it is shifted.
|
||
|
<li>If the grammar rule on the stack has higher precedence, the rule is reduced.
|
||
|
<li>If the current token and the grammar rule have the same precedence, the
|
||
|
rule is reduced for left associativity, whereas the token is shifted for right associativity.
|
||
|
<li>If nothing is known about the precedence, shift/reduce conflicts are resolved in
|
||
|
favor of shifting (the default).
|
||
|
</ol>
|
||
|
|
||
|
<p>
|
||
|
When shift/reduce conflicts are resolved using the first three techniques (with the help of
|
||
|
precedence rules), <tt>yacc.py</tt> will report no errors or conflicts in the grammar.
|
||
|
|
||
|
<p>
|
||
|
One problem with the precedence specifier technique is that it is sometimes necessary to
|
||
|
change the precedence of an operator in certain contents. For example, consider a unary-minus operator
|
||
|
in "3 + 4 * -5". Normally, unary minus has a very high precedence--being evaluated before the multiply.
|
||
|
However, in our precedence specifier, MINUS has a lower precedence than TIMES. To deal with this,
|
||
|
precedence rules can be given for fictitious tokens like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
precedence = (
|
||
|
('left', 'PLUS', 'MINUS'),
|
||
|
('left', 'TIMES', 'DIVIDE'),
|
||
|
('right', 'UMINUS'), # Unary minus operator
|
||
|
)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Now, in the grammar file, we can write our unary minus rule like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_expr_uminus(t):
|
||
|
'expression : MINUS expression %prec UMINUS'
|
||
|
t[0] = -t[2]
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In this case, <tt>%prec UMINUS</tt> overrides the default rule precedence--setting it to that
|
||
|
of UMINUS in the precedence specifier.
|
||
|
|
||
|
<p>
|
||
|
It is also possible to specify non-associativity in the <tt>precedence</tt> table. This would
|
||
|
be used when you <em>don't</em> want operations to chain together. For example, suppose
|
||
|
you wanted to support a comparison operators like <tt><</tt> and <tt>></tt> but you didn't want to allow
|
||
|
combinations like <tt>a < b < c</tt>. To do this, simply specify a rule like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
precedence = (
|
||
|
('nonassoc', 'LESSTHAN', 'GREATERTHAN'), # Nonassociative operators
|
||
|
('left', 'PLUS', 'MINUS'),
|
||
|
('left', 'TIMES', 'DIVIDE'),
|
||
|
('right', 'UMINUS'), # Unary minus operator
|
||
|
)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<p>
|
||
|
Reduce/reduce conflicts are caused when there are multiple grammar
|
||
|
rules that can be applied to a given set of symbols. This kind of
|
||
|
conflict is almost always bad and is always resolved by picking the
|
||
|
rule that appears first in the grammar file. Reduce/reduce conflicts
|
||
|
are almost always caused when different sets of grammar rules somehow
|
||
|
generate the same set of symbols. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
assignment : ID EQUALS NUMBER
|
||
|
| ID EQUALS expression
|
||
|
|
||
|
expression : expression PLUS expression
|
||
|
| expression MINUS expression
|
||
|
| expression TIMES expression
|
||
|
| expression DIVIDE expression
|
||
|
| LPAREN expression RPAREN
|
||
|
| NUMBER
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In this case, a reduce/reduce conflict exists between these two rules:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
assignment : ID EQUALS NUMBER
|
||
|
expression : NUMBER
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
For example, if you wrote "a = 5", the parser can't figure out if this
|
||
|
is supposed to reduced as <tt>assignment : ID EQUALS NUMBER</tt> or
|
||
|
whether it's supposed to reduce the 5 as an expression and then reduce
|
||
|
the rule <tt>assignment : ID EQUALS expression</tt>.
|
||
|
|
||
|
<h2>The parser.out file</h2>
|
||
|
|
||
|
Tracking down shift/reduce and reduce/reduce conflicts is one of the finer pleasures of using an LR
|
||
|
parsing algorithm. To assist in debugging, <tt>yacc.py</tt> creates a debugging file called
|
||
|
'parser.out' when it generates the parsing table. The contents of this file look like the following:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
Unused terminals:
|
||
|
|
||
|
|
||
|
Grammar
|
||
|
|
||
|
Rule 1 expression -> expression PLUS expression
|
||
|
Rule 2 expression -> expression MINUS expression
|
||
|
Rule 3 expression -> expression TIMES expression
|
||
|
Rule 4 expression -> expression DIVIDE expression
|
||
|
Rule 5 expression -> NUMBER
|
||
|
Rule 6 expression -> LPAREN expression RPAREN
|
||
|
|
||
|
Terminals, with rules where they appear
|
||
|
|
||
|
TIMES : 3
|
||
|
error :
|
||
|
MINUS : 2
|
||
|
RPAREN : 6
|
||
|
LPAREN : 6
|
||
|
DIVIDE : 4
|
||
|
PLUS : 1
|
||
|
NUMBER : 5
|
||
|
|
||
|
Nonterminals, with rules where they appear
|
||
|
|
||
|
expression : 1 1 2 2 3 3 4 4 6 0
|
||
|
|
||
|
|
||
|
Parsing method: SLR
|
||
|
|
||
|
|
||
|
state 0
|
||
|
|
||
|
S' -> . expression
|
||
|
expression -> . expression PLUS expression
|
||
|
expression -> . expression MINUS expression
|
||
|
expression -> . expression TIMES expression
|
||
|
expression -> . expression DIVIDE expression
|
||
|
expression -> . NUMBER
|
||
|
expression -> . LPAREN expression RPAREN
|
||
|
|
||
|
NUMBER shift and go to state 3
|
||
|
LPAREN shift and go to state 2
|
||
|
|
||
|
|
||
|
state 1
|
||
|
|
||
|
S' -> expression .
|
||
|
expression -> expression . PLUS expression
|
||
|
expression -> expression . MINUS expression
|
||
|
expression -> expression . TIMES expression
|
||
|
expression -> expression . DIVIDE expression
|
||
|
|
||
|
PLUS shift and go to state 6
|
||
|
MINUS shift and go to state 5
|
||
|
TIMES shift and go to state 4
|
||
|
DIVIDE shift and go to state 7
|
||
|
|
||
|
|
||
|
state 2
|
||
|
|
||
|
expression -> LPAREN . expression RPAREN
|
||
|
expression -> . expression PLUS expression
|
||
|
expression -> . expression MINUS expression
|
||
|
expression -> . expression TIMES expression
|
||
|
expression -> . expression DIVIDE expression
|
||
|
expression -> . NUMBER
|
||
|
expression -> . LPAREN expression RPAREN
|
||
|
|
||
|
NUMBER shift and go to state 3
|
||
|
LPAREN shift and go to state 2
|
||
|
|
||
|
|
||
|
state 3
|
||
|
|
||
|
expression -> NUMBER .
|
||
|
|
||
|
$ reduce using rule 5
|
||
|
PLUS reduce using rule 5
|
||
|
MINUS reduce using rule 5
|
||
|
TIMES reduce using rule 5
|
||
|
DIVIDE reduce using rule 5
|
||
|
RPAREN reduce using rule 5
|
||
|
|
||
|
|
||
|
state 4
|
||
|
|
||
|
expression -> expression TIMES . expression
|
||
|
expression -> . expression PLUS expression
|
||
|
expression -> . expression MINUS expression
|
||
|
expression -> . expression TIMES expression
|
||
|
expression -> . expression DIVIDE expression
|
||
|
expression -> . NUMBER
|
||
|
expression -> . LPAREN expression RPAREN
|
||
|
|
||
|
NUMBER shift and go to state 3
|
||
|
LPAREN shift and go to state 2
|
||
|
|
||
|
|
||
|
state 5
|
||
|
|
||
|
expression -> expression MINUS . expression
|
||
|
expression -> . expression PLUS expression
|
||
|
expression -> . expression MINUS expression
|
||
|
expression -> . expression TIMES expression
|
||
|
expression -> . expression DIVIDE expression
|
||
|
expression -> . NUMBER
|
||
|
expression -> . LPAREN expression RPAREN
|
||
|
|
||
|
NUMBER shift and go to state 3
|
||
|
LPAREN shift and go to state 2
|
||
|
|
||
|
|
||
|
state 6
|
||
|
|
||
|
expression -> expression PLUS . expression
|
||
|
expression -> . expression PLUS expression
|
||
|
expression -> . expression MINUS expression
|
||
|
expression -> . expression TIMES expression
|
||
|
expression -> . expression DIVIDE expression
|
||
|
expression -> . NUMBER
|
||
|
expression -> . LPAREN expression RPAREN
|
||
|
|
||
|
NUMBER shift and go to state 3
|
||
|
LPAREN shift and go to state 2
|
||
|
|
||
|
|
||
|
state 7
|
||
|
|
||
|
expression -> expression DIVIDE . expression
|
||
|
expression -> . expression PLUS expression
|
||
|
expression -> . expression MINUS expression
|
||
|
expression -> . expression TIMES expression
|
||
|
expression -> . expression DIVIDE expression
|
||
|
expression -> . NUMBER
|
||
|
expression -> . LPAREN expression RPAREN
|
||
|
|
||
|
NUMBER shift and go to state 3
|
||
|
LPAREN shift and go to state 2
|
||
|
|
||
|
|
||
|
state 8
|
||
|
|
||
|
expression -> LPAREN expression . RPAREN
|
||
|
expression -> expression . PLUS expression
|
||
|
expression -> expression . MINUS expression
|
||
|
expression -> expression . TIMES expression
|
||
|
expression -> expression . DIVIDE expression
|
||
|
|
||
|
RPAREN shift and go to state 13
|
||
|
PLUS shift and go to state 6
|
||
|
MINUS shift and go to state 5
|
||
|
TIMES shift and go to state 4
|
||
|
DIVIDE shift and go to state 7
|
||
|
|
||
|
|
||
|
state 9
|
||
|
|
||
|
expression -> expression TIMES expression .
|
||
|
expression -> expression . PLUS expression
|
||
|
expression -> expression . MINUS expression
|
||
|
expression -> expression . TIMES expression
|
||
|
expression -> expression . DIVIDE expression
|
||
|
|
||
|
$ reduce using rule 3
|
||
|
PLUS reduce using rule 3
|
||
|
MINUS reduce using rule 3
|
||
|
TIMES reduce using rule 3
|
||
|
DIVIDE reduce using rule 3
|
||
|
RPAREN reduce using rule 3
|
||
|
|
||
|
! PLUS [ shift and go to state 6 ]
|
||
|
! MINUS [ shift and go to state 5 ]
|
||
|
! TIMES [ shift and go to state 4 ]
|
||
|
! DIVIDE [ shift and go to state 7 ]
|
||
|
|
||
|
state 10
|
||
|
|
||
|
expression -> expression MINUS expression .
|
||
|
expression -> expression . PLUS expression
|
||
|
expression -> expression . MINUS expression
|
||
|
expression -> expression . TIMES expression
|
||
|
expression -> expression . DIVIDE expression
|
||
|
|
||
|
$ reduce using rule 2
|
||
|
PLUS reduce using rule 2
|
||
|
MINUS reduce using rule 2
|
||
|
RPAREN reduce using rule 2
|
||
|
TIMES shift and go to state 4
|
||
|
DIVIDE shift and go to state 7
|
||
|
|
||
|
! TIMES [ reduce using rule 2 ]
|
||
|
! DIVIDE [ reduce using rule 2 ]
|
||
|
! PLUS [ shift and go to state 6 ]
|
||
|
! MINUS [ shift and go to state 5 ]
|
||
|
|
||
|
state 11
|
||
|
|
||
|
expression -> expression PLUS expression .
|
||
|
expression -> expression . PLUS expression
|
||
|
expression -> expression . MINUS expression
|
||
|
expression -> expression . TIMES expression
|
||
|
expression -> expression . DIVIDE expression
|
||
|
|
||
|
$ reduce using rule 1
|
||
|
PLUS reduce using rule 1
|
||
|
MINUS reduce using rule 1
|
||
|
RPAREN reduce using rule 1
|
||
|
TIMES shift and go to state 4
|
||
|
DIVIDE shift and go to state 7
|
||
|
|
||
|
! TIMES [ reduce using rule 1 ]
|
||
|
! DIVIDE [ reduce using rule 1 ]
|
||
|
! PLUS [ shift and go to state 6 ]
|
||
|
! MINUS [ shift and go to state 5 ]
|
||
|
|
||
|
state 12
|
||
|
|
||
|
expression -> expression DIVIDE expression .
|
||
|
expression -> expression . PLUS expression
|
||
|
expression -> expression . MINUS expression
|
||
|
expression -> expression . TIMES expression
|
||
|
expression -> expression . DIVIDE expression
|
||
|
|
||
|
$ reduce using rule 4
|
||
|
PLUS reduce using rule 4
|
||
|
MINUS reduce using rule 4
|
||
|
TIMES reduce using rule 4
|
||
|
DIVIDE reduce using rule 4
|
||
|
RPAREN reduce using rule 4
|
||
|
|
||
|
! PLUS [ shift and go to state 6 ]
|
||
|
! MINUS [ shift and go to state 5 ]
|
||
|
! TIMES [ shift and go to state 4 ]
|
||
|
! DIVIDE [ shift and go to state 7 ]
|
||
|
|
||
|
state 13
|
||
|
|
||
|
expression -> LPAREN expression RPAREN .
|
||
|
|
||
|
$ reduce using rule 6
|
||
|
PLUS reduce using rule 6
|
||
|
MINUS reduce using rule 6
|
||
|
TIMES reduce using rule 6
|
||
|
DIVIDE reduce using rule 6
|
||
|
RPAREN reduce using rule 6
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In the file, each state of the grammar is described. Within each state the "." indicates the current
|
||
|
location of the parse within any applicable grammar rules. In addition, the actions for each valid
|
||
|
input token are listed. When a shift/reduce or reduce/reduce conflict arises, rules <em>not</em> selected
|
||
|
are prefixed with an !. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
! TIMES [ reduce using rule 2 ]
|
||
|
! DIVIDE [ reduce using rule 2 ]
|
||
|
! PLUS [ shift and go to state 6 ]
|
||
|
! MINUS [ shift and go to state 5 ]
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
By looking at these rules (and with a little practice), you can usually track down the source
|
||
|
of most parsing conflicts. It should also be stressed that not all shift-reduce conflicts are
|
||
|
bad. However, the only way to be sure that they are resolved correctly is to look at <tt>parser.out</tt>.
|
||
|
|
||
|
<h2>Syntax Error Handling</h2>
|
||
|
|
||
|
When a syntax error occurs during parsing, the error is immediately
|
||
|
detected (i.e., the parser does not read any more tokens beyond the
|
||
|
source of the error). Error recovery in LR parsers is a delicate
|
||
|
topic that involves ancient rituals and black-magic. The recovery mechanism
|
||
|
provided by <tt>yacc.py</tt> is comparable to Unix yacc so you may want
|
||
|
consult a book like O'Reilly's "Lex and Yacc" for some of the finer details.
|
||
|
|
||
|
<p>
|
||
|
When a syntax error occurs, <tt>yacc.py</tt> performs the following steps:
|
||
|
|
||
|
<ol>
|
||
|
<li>On the first occurrence of an error, the user-defined <tt>p_error()</tt> function
|
||
|
is called with the offending token as an argument. Afterwards, the parser enters
|
||
|
an "error-recovery" mode in which it will not make future calls to <tt>p_error()</tt> until it
|
||
|
has successfully shifted at least 3 tokens onto the parsing stack.
|
||
|
|
||
|
<p>
|
||
|
<li>If no recovery action is taken in <tt>p_error()</tt>, the offending lookahead token is replaced
|
||
|
with a special <tt>error</tt> token.
|
||
|
|
||
|
<p>
|
||
|
<li>If the offending lookahead token is already set to <tt>error</tt>, the top item of the parsing stack is
|
||
|
deleted.
|
||
|
|
||
|
<p>
|
||
|
<li>If the entire parsing stack is unwound, the parser enters a restart state and attempts to start
|
||
|
parsing from its initial state.
|
||
|
|
||
|
<p>
|
||
|
<li>If a grammar rule accepts <tt>error</tt> as a token, it will be
|
||
|
shifted onto the parsing stack.
|
||
|
|
||
|
<p>
|
||
|
<li>If the top item of the parsing stack is <tt>error</tt>, lookahead tokens will be discarded until the
|
||
|
parser can successfully shift a new symbol or reduce a rule involving <tt>error</tt>.
|
||
|
</ol>
|
||
|
|
||
|
<h4>Recovery and resynchronization with error rules</h4>
|
||
|
|
||
|
The most well-behaved approach for handling syntax errors is to write grammar rules that include the <tt>error</tt>
|
||
|
token. For example, suppose your language had a grammar rule for a print statement like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_statement_print(t):
|
||
|
'statement : PRINT expr SEMI'
|
||
|
...
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
To account for the possibility of a bad expression, you might write an additional grammar rule like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_statement_print_error(t):
|
||
|
'statement : PRINT error SEMI'
|
||
|
print "Syntax error in print statement. Bad expression"
|
||
|
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In this case, the <tt>error</tt> token will match any sequence of
|
||
|
tokens that might appear up to the first semicolon that is
|
||
|
encountered. Once the semicolon is reached, the rule will be
|
||
|
invoked and the <tt>error</tt> token will go away.
|
||
|
|
||
|
<p>
|
||
|
This type of recovery is sometimes known as parser resynchronization.
|
||
|
The <tt>error</tt> token acts as a wildcard for any bad input text and
|
||
|
the token immediately following <tt>error</tt> acts as a
|
||
|
synchronization token.
|
||
|
|
||
|
<p>
|
||
|
It is important to note that the <tt>error</tt> token usually does not appear as the last token
|
||
|
on the right in an error rule. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_statement_print_error(t):
|
||
|
'statement : PRINT error'
|
||
|
print "Syntax error in print statement. Bad expression"
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
This is because the first bad token encountered will cause the rule to
|
||
|
be reduced--which may make it difficult to recover if more bad tokens
|
||
|
immediately follow.
|
||
|
|
||
|
<h4>Panic mode recovery</h4>
|
||
|
|
||
|
An alternative error recovery scheme is to enter a panic mode recovery in which tokens are
|
||
|
discarded to a point where the parser might be able to recover in some sensible manner.
|
||
|
|
||
|
<p>
|
||
|
Panic mode recovery is implemented entirely in the <tt>p_error()</tt> function. For example, this
|
||
|
function starts discarding tokens until it reaches a closing '}'. Then, it restarts the
|
||
|
parser in its initial state.
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_error(t):
|
||
|
print "Whoa. You are seriously hosed."
|
||
|
# Read ahead looking for a closing '}'
|
||
|
while 1:
|
||
|
tok = yacc.token() # Get the next token
|
||
|
if not tok or tok.type == 'RBRACE': break
|
||
|
yacc.restart()
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<p>
|
||
|
This function simply discards the bad token and tells the parser that the error was ok.
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_error(t):
|
||
|
print "Syntax error at token", t.type
|
||
|
# Just discard the token and tell the parser it's okay.
|
||
|
yacc.errok()
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<P>
|
||
|
Within the <tt>p_error()</tt> function, three functions are available to control the behavior
|
||
|
of the parser:
|
||
|
<p>
|
||
|
<ul>
|
||
|
<li><tt>yacc.errok()</tt>. This resets the parser state so it doesn't think it's in error-recovery
|
||
|
mode. This will prevent an <tt>error</tt> token from being generated and will reset the internal
|
||
|
error counters so that the next syntax error will call <tt>p_error()</tt> again.
|
||
|
|
||
|
<p>
|
||
|
<li><tt>yacc.token()</tt>. This returns the next token on the input stream.
|
||
|
|
||
|
<p>
|
||
|
<li><tt>yacc.restart()</tt>. This discards the entire parsing stack and resets the parser
|
||
|
to its initial state.
|
||
|
</ul>
|
||
|
|
||
|
Note: these functions are only available when invoking <tt>p_error()</tt> and are not available
|
||
|
at any other time.
|
||
|
|
||
|
<p>
|
||
|
To supply the next lookahead token to the parser, <tt>p_error()</tt> can return a token. This might be
|
||
|
useful if trying to synchronize on special characters. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_error(t):
|
||
|
# Read ahead looking for a terminating ";"
|
||
|
while 1:
|
||
|
tok = yacc.token() # Get the next token
|
||
|
if not tok or tok.type == 'SEMI': break
|
||
|
yacc.errok()
|
||
|
|
||
|
# Return SEMI to the parser as the next lookahead token
|
||
|
return tok
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<h4>General comments on error handling</h4>
|
||
|
|
||
|
For normal types of languages, error recovery with error rules and resynchronization characters is probably the most reliable
|
||
|
technique. This is because you can instrument the grammar to catch errors at selected places where it is relatively easy
|
||
|
to recover and continue parsing. Panic mode recovery is really only useful in certain specialized applications where you might want
|
||
|
to discard huge portions of the input text to find a valid restart point.
|
||
|
|
||
|
<h2>Line Number Tracking</h2>
|
||
|
|
||
|
<tt>yacc.py</tt> automatically tracks line numbers for all of the grammar symbols and tokens it processes. To retrieve the line
|
||
|
numbers, two functions are used in grammar rules:
|
||
|
|
||
|
<ul>
|
||
|
<li><tt>t.lineno(num)</tt>. Return the starting line number for symbol <em>num</em>
|
||
|
<li><tt>t.linespan(num)</tt>. Return a tuple (startline,endline) with the starting and ending line number for symbol <em>num</em>.
|
||
|
</ul>
|
||
|
|
||
|
For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def t_expression(t):
|
||
|
'expression : expression PLUS expression'
|
||
|
t.lineno(1) # Line number of the left expression
|
||
|
t.lineno(2) # line number of the PLUS operator
|
||
|
t.lineno(3) # line number of the right expression
|
||
|
...
|
||
|
start,end = t.linespan(3) # Start,end lines of the right expression
|
||
|
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Since line numbers are managed internally by the parser, there is usually no need to modify the line
|
||
|
numbers. However, if you want to save the line numbers in a parse-tree node, you will need to make your own
|
||
|
private copy.
|
||
|
|
||
|
<h2>AST Construction</h2>
|
||
|
|
||
|
<tt>yacc.py</tt> provides no special functions for constructing an abstract syntax tree. However, such
|
||
|
construction is easy enough to do on your own. Simply create a data structure for abstract syntax tree nodes
|
||
|
and assign nodes to <tt>t[0]</tt> in each rule.
|
||
|
|
||
|
For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
class Expr: pass
|
||
|
|
||
|
class BinOp(Expr):
|
||
|
def __init__(self,left,op,right):
|
||
|
self.type = "binop"
|
||
|
self.left = left
|
||
|
self.right = right
|
||
|
self.op = op
|
||
|
|
||
|
class Number(Expr):
|
||
|
def __init__(self,value):
|
||
|
self.type = "number"
|
||
|
self.value = value
|
||
|
|
||
|
def p_expression_binop(t):
|
||
|
'''expression : expression PLUS expression
|
||
|
| expression MINUS expression
|
||
|
| expression TIMES expression
|
||
|
| expression DIVIDE expression'''
|
||
|
|
||
|
t[0] = BinOp(t[1],t[2],t[3])
|
||
|
|
||
|
def p_expression_group(t):
|
||
|
'expression : LPAREN expression RPAREN'
|
||
|
t[0] = t[2]
|
||
|
|
||
|
def p_expression_number(t):
|
||
|
'expression : NUMBER'
|
||
|
t[0] = Number(t[1])
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
To simplify tree traversal, it may make sense to pick a very generic tree structure for your parse tree nodes.
|
||
|
For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
class Node:
|
||
|
def __init__(self,type,children=None,leaf=None):
|
||
|
self.type = type
|
||
|
if children:
|
||
|
self.children = children
|
||
|
else:
|
||
|
self.children = [ ]
|
||
|
self.leaf = leaf
|
||
|
|
||
|
def p_expression_binop(t):
|
||
|
'''expression : expression PLUS expression
|
||
|
| expression MINUS expression
|
||
|
| expression TIMES expression
|
||
|
| expression DIVIDE expression'''
|
||
|
|
||
|
t[0] = Node("binop", [t[1],t[3]], t[2])
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<h2>Yacc implementation notes</h2>
|
||
|
|
||
|
<ul>
|
||
|
<li>By default, <tt>yacc.py</tt> relies on <tt>lex.py</tt> for tokenizing. However, an alternative tokenizer
|
||
|
can be supplied as follows:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
yacc.parse(lexer=x)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
in this case, <tt>x</tt> must be a Lexer object that minimally has a <tt>x.token()</tt> method for retrieving the next
|
||
|
token. If an input string is given to <tt>yacc.parse()</tt>, the lexer must also have an <tt>x.input()</tt> method.
|
||
|
|
||
|
<p>
|
||
|
<li>By default, the yacc generates tables in debugging mode (which produces the parser.out file and other output).
|
||
|
To disable this, use
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
yacc.yacc(debug=0)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<p>
|
||
|
<li>To change the name of the <tt>parsetab.py</tt> file, use:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
yacc.yacc(tabmodule="foo")
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<P>
|
||
|
<li>To print copious amounts of debugging during parsing, use:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
yacc.parse(debug=1)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
<p>
|
||
|
<li>The <tt>yacc.yacc()</tt> function really returns a parser object. If you want to support multiple
|
||
|
parsers in the same application, do this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
p = yacc.yacc()
|
||
|
...
|
||
|
p.parse()
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Note: The function <tt>yacc.parse()</tt> is bound to the last parser that was generated.
|
||
|
|
||
|
<p>
|
||
|
<li>Since the generation of the SLR tables is relatively expensive, previously generated tables are
|
||
|
cached and reused if possible. The decision to regenerate the tables is determined by taking an MD5
|
||
|
checksum of all grammar rules and precedence rules. Only in the event of a mismatch are the tables regenerated.
|
||
|
|
||
|
<p>
|
||
|
It should be noted that table generation is reasonably efficient, even for grammars that involve around a 100 rules
|
||
|
and several hundred states. For more complex languages such as C, table generation may take 30-60 seconds on a slow
|
||
|
machine. Please be patient.
|
||
|
|
||
|
<p>
|
||
|
<li>Since LR parsing is mostly driven by tables, the performance of the parser is largely independent of the
|
||
|
size of the grammar. The biggest bottlenecks will be the lexer and the complexity of your grammar rules.
|
||
|
</ul>
|
||
|
|
||
|
<h2>Parser and Lexer State Management</h2>
|
||
|
|
||
|
In advanced parsing applications, you may want to have multiple
|
||
|
parsers and lexers. Furthermore, the parser may want to control the
|
||
|
behavior of the lexer in some way.
|
||
|
|
||
|
<p>
|
||
|
To do this, it is important to note that both the lexer and parser are
|
||
|
actually implemented as objects. These objects are returned by the
|
||
|
<tt>lex()</tt> and <tt>yacc()</tt> functions respectively. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
lexer = lex.lex() # Return lexer object
|
||
|
parser = yacc.yacc() # Return parser object
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
Within lexer and parser rules, these objects are also available. In the lexer,
|
||
|
the "lexer" attribute of a token refers to the lexer object in use. For example:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def t_NUMBER(t):
|
||
|
r'\d+'
|
||
|
...
|
||
|
print t.lexer # Show lexer object
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
In the parser, the "lexer" and "parser" attributes refer to the lexer
|
||
|
and parser objects respectively.
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
def p_expr_plus(t):
|
||
|
'expr : expr PLUS expr'
|
||
|
...
|
||
|
print t.parser # Show parser object
|
||
|
print t.lexer # Show lexer object
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
If necessary, arbitrary attributes can be attached to the lexer or parser object.
|
||
|
For example, if you wanted to have different parsing modes, you could attach a mode
|
||
|
attribute to the parser object and look at it later.
|
||
|
|
||
|
<h2>Using Python's Optimized Mode</h2>
|
||
|
|
||
|
Because PLY uses information from doc-strings, parsing and lexing
|
||
|
information must be gathered while running the Python interpreter in
|
||
|
normal mode (i.e., not with the -O or -OO options). However, if you
|
||
|
specify optimized mode like this:
|
||
|
|
||
|
<blockquote>
|
||
|
<pre>
|
||
|
lex.lex(optimize=1)
|
||
|
yacc.yacc(optimize=1)
|
||
|
</pre>
|
||
|
</blockquote>
|
||
|
|
||
|
then PLY can later be used when Python runs in optimized mode. To make this work,
|
||
|
make sure you first run Python in normal mode. Once the lexing and parsing tables
|
||
|
have been generated the first time, run Python in optimized mode. PLY will use
|
||
|
the tables without the need for doc strings.
|
||
|
|
||
|
<p>
|
||
|
Beware: running PLY in optimized mode disables a lot of error
|
||
|
checking. You should only do this when your project has stabilized
|
||
|
and you don't need to do any debugging.
|
||
|
|
||
|
<h2>Where to go from here?</h2>
|
||
|
|
||
|
The <tt>examples</tt> directory of the PLY distribution contains several simple examples. Please consult a
|
||
|
compilers textbook for the theory and underlying implementation details or LR parsing.
|
||
|
|
||
|
</body>
|
||
|
</html>
|
||
|
|
||
|
|
||
|
|
||
|
|
||
|
|
||
|
|
||
|
|