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+<html>
+<head>
+<title>PLY (Python Lex-Yacc)</title>
+</head>
+<body bgcolor="#ffffff">
+
+<h1>PLY (Python Lex-Yacc)</h1>
+
+<b>
+David M. Beazley <br>
+Department of Computer Science <br>
+University of Chicago <br>
+Chicago, IL 60637 <br>
+beazley@cs.uchicago.edu <br>
+</b>
+
+<p>
+Documentation version: $Header: /home/stever/bk/newmem2/ext/ply/doc/ply.html 1.1 03/06/06 14:53:34-00:00 stever@ $
+
+<h2>Introduction</h2>
+
+PLY is a Python-only implementation of the popular compiler
+construction tools lex and yacc. The implementation borrows ideas
+from a number of previous efforts; most notably John Aycock's SPARK
+toolkit. However, the overall flavor of the implementation is more
+closely modeled after the C version of lex and yacc. The other
+significant feature of PLY is that it provides extensive input
+validation and error reporting--much more so than other Python parsing
+tools.
+
+<p>
+Early versions of PLY were developed to support the Introduction to
+Compilers Course at the University of Chicago. In this course,
+students built a fully functional compiler for a simple Pascal-like
+language. Their compiler, implemented entirely in Python, had to
+include lexical analysis, parsing, type checking, type inference,
+nested scoping, and code generation for the SPARC processor.
+Approximately 30 different compiler implementations were completed in
+this course. Most of PLY's interface and operation has been motivated by common
+usability problems encountered by students.
+
+<p>
+Because PLY was primarily developed as an instructional tool, you will
+find it to be <em>MUCH</em> more picky about token and grammar rule
+specification than most other Python parsing tools. In part, this
+added formality is meant to catch common programming mistakes made by
+novice users. However, advanced users will also find such features to
+be useful when building complicated grammars for real programming
+languages. It should also be noted that PLY does not provide much in the way
+of bells and whistles (e.g., automatic construction of abstract syntax trees,
+tree traversal, etc.). Instead, you will find a bare-bones, yet
+fully capable lex/yacc implementation written entirely in Python.
+
+<p>
+The rest of this document assumes that you are somewhat familar with
+parsing theory, syntax directed translation, and automatic tools such
+as lex and yacc. If you are unfamilar with these topics, you will
+probably want to consult an introductory text such as "Compilers:
+Principles, Techniques, and Tools", by Aho, Sethi, and Ullman. "Lex
+and Yacc" by John Levine may also be handy.
+
+<h2>PLY Overview</h2>
+
+PLY consists of two separate tools; <tt>lex.py</tt> and
+<tt>yacc.py</tt>. <tt>lex.py</tt> is used to break input text into a
+collection of tokens specified by a collection of regular expression
+rules. <tt>yacc.py</tt> is used to recognize language syntax that has
+been specified in the form of a context free grammar. Currently,
+<tt>yacc.py</tt> uses LR parsing and generates its parsing tables
+using the SLR algorithm. LALR(1) parsing may be supported in a future
+release.
+
+<p>
+The two tools are meant to work together. Specifically,
+<tt>lex.py</tt> provides an external interface in the form of a
+<tt>token()</tt> function that returns the next valid token on the
+input stream. <tt>yacc.py</tt> calls this repeatedly to retrieve
+tokens and invoke grammar rules. The output of <tt>yacc.py</tt> is
+often an Abstract Syntax Tree (AST). However, this is entirely up to
+the user. If desired, <tt>yacc.py</tt> can also be used to implement
+simple one-pass compilers.
+
+<p>
+Like its Unix counterpart, <tt>yacc.py</tt> provides most of the
+features you expect including extensive error checking, grammar
+validation, support for empty productions, error tokens, and ambiguity
+resolution via precedence rules. The primary difference between
+<tt>yacc.py</tt> and <tt>yacc</tt> is the use of SLR parsing instead
+of LALR(1). Although this slightly restricts the types of grammars
+than can be successfully parsed, it is sufficiently powerful to handle most
+kinds of normal programming language constructs.
+
+<p>
+Finally, it is important to note that PLY relies on reflection
+(introspection) to build its lexers and parsers. Unlike traditional
+lex/yacc which require a special input file that is converted into a
+separate source file, the specifications given to PLY <em>are</em>
+valid Python programs. This means that there are no extra source
+files nor is there a special compiler construction step (e.g., running
+yacc to generate Python code for the compiler).
+
+<h2>Lex Example</h2>
+
+<tt>lex.py</tt> is used to write tokenizers. To do this, each token
+must be defined by a regular expression rule. The following file
+implements a very simple lexer for tokenizing simple integer expressions:
+
+<blockquote>
+<pre>
+# ------------------------------------------------------------
+# calclex.py
+#
+# tokenizer for a simple expression evaluator for
+# numbers and +,-,*,/
+# ------------------------------------------------------------
+import lex
+
+# List of token names. This is always required
+tokens = (
+ 'NUMBER',
+ 'PLUS',
+ 'MINUS',
+ 'TIMES',
+ 'DIVIDE',
+ 'LPAREN',
+ 'RPAREN',
+)
+
+# Regular expression rules for simple tokens
+t_PLUS = r'\+'
+t_MINUS = r'-'
+t_TIMES = r'\*'
+t_DIVIDE = r'/'
+t_LPAREN = r'\('
+t_RPAREN = r'\)'
+
+# A regular expression rule with some action code
+def t_NUMBER(t):
+ r'\d+'
+ try:
+ t.value = int(t.value)
+ except ValueError:
+ print "Line %d: Number %s is too large!" % (t.lineno,t.value)
+ t.value = 0
+ return t
+
+# Define a rule so we can track line numbers
+def t_newline(t):
+ r'\n+'
+ t.lineno += len(t.value)
+
+# A string containing ignored characters (spaces and tabs)
+t_ignore = ' \t'
+
+# Error handling rule
+def t_error(t):
+ print "Illegal character '%s'" % t.value[0]
+ t.skip(1)
+
+# Build the lexer
+lex.lex()
+
+# Test it out
+data = '''
+3 + 4 * 10
+ + -20 *2
+'''
+
+# Give the lexer some input
+lex.input(data)
+
+# Tokenize
+while 1:
+ tok = lex.token()
+ if not tok: break # No more input
+ print tok
+</pre>
+</blockquote>
+
+In the example, the <tt>tokens</tt> list defines all of the possible
+token names that can be produced by the lexer. This list is always required
+and is used to perform a variety of validation checks. Following the <tt>tokens</tt>
+list, regular expressions are written for each token. Each of these
+rules are defined by making declarations with a special prefix <tt>t_</tt> to indicate that it
+defines a token. For simple tokens, the regular expression can
+be specified as strings such as this (note: Python raw strings are used since they are the
+most convenient way to write regular expression strings):
+
+<blockquote>
+<pre>
+t_PLUS = r'\+'
+</pre>
+</blockquote>
+
+In this case, the name following the <tt>t_</tt> must exactly match one of the
+names supplied in <tt>tokens</tt>. If some kind of action needs to be performed,
+a token rule can be specified as a function. For example:
+
+<blockquote>
+<pre>
+def t_NUMBER(t):
+ r'\d+'
+ try:
+ t.value = int(t.value)
+ except ValueError:
+ print "Number %s is too large!" % t.value
+ t.value = 0
+ return t
+</pre>
+</blockquote>
+
+In this case, the regular expression rule is specified in the function documentation string.
+The function always takes a single argument which is an instance of
+<tt>LexToken</tt>. This object has attributes of <tt>t.type</tt> which is the token type,
+<tt>t.value</tt> which is the lexeme, and <tt>t.lineno</tt> which is the current line number.
+By default, <tt>t.type</tt> is set to the name following the <tt>t_</tt> prefix. The action
+function can modify the contents of the <tt>LexToken</tt> object as appropriate. However,
+when it is done, the resulting token should be returned. If no value is returned by the action
+function, the token is simply discarded and the next token read.
+
+<p>
+The rule <tt>t_newline()</tt> illustrates a regular expression rule
+for a discarded token. In this case, a rule is written to match
+newlines so that proper line number tracking can be performed.
+By returning no value, the function causes the newline character to be
+discarded.
+
+<p>
+The special <tt>t_ignore</tt> rule is reserved by <tt>lex.py</tt> for characters
+that should be completely ignored in the input stream.
+Usually this is used to skip over whitespace and other non-essential characters.
+Although it is possible to define a regular expression rule for whitespace in a manner
+similar to <tt>t_newline()</tt>, the use of <tt>t_ignore</tt> provides substantially better
+lexing performance because it is handled as a special case and is checked in a much
+more efficient manner than the normal regular expression rules.
+
+<p>
+Finally, the <tt>t_error()</tt>
+function is used to handle lexing errors that occur when illegal
+characters are detected. In this case, the <tt>t.value</tt> attribute contains the
+rest of the input string that has not been tokenized. In the example, we simply print
+the offending character and skip ahead one character by calling <tt>t.skip(1)</tt>.
+
+<p>
+To build the lexer, the function <tt>lex.lex()</tt> is used. This function
+uses Python reflection (or introspection) to read the the regular expression rules
+out of the calling context and build the lexer. Once the lexer has been built, two functions can
+be used to control the lexer.
+
+<ul>
+<li><tt>lex.input(data)</tt>. Reset the lexer and store a new input string.
+<li><tt>lex.token()</tt>. Return the next token. Returns a special <tt>LexToken</tt> instance on success or
+None if the end of the input text has been reached.
+</ul>
+
+The code at the bottom of the example shows how the lexer is actually used. When executed,
+the following output will be produced:
+
+<blockquote>
+<pre>
+$ python example.py
+LexToken(NUMBER,3,2)
+LexToken(PLUS,'+',2)
+LexToken(NUMBER,4,2)
+LexToken(TIMES,'*',2)
+LexToken(NUMBER,10,2)
+LexToken(PLUS,'+',3)
+LexToken(MINUS,'-',3)
+LexToken(NUMBER,20,3)
+LexToken(TIMES,'*',3)
+LexToken(NUMBER,2,3)
+</pre>
+</blockquote>
+
+<h2>Lex Implementation Notes</h2>
+
+<ul>
+<li><tt>lex.py</tt> uses the <tt>re</tt> module to do its patten matching. When building the master regular expression,
+rules are added in the following order:
+<p>
+<ol>
+<li>All tokens defined by functions are added in the same order as they appear in the lexer file.
+<li>Tokens defined by strings are added by sorting them in order of decreasing regular expression length (longer expressions
+are added first).
+</ol>
+<p>
+Without this ordering, it can be difficult to correctly match certain types of tokens. For example, if you
+wanted to have separate tokens for "=" and "==", you need to make sure that "==" is checked first. By sorting regular
+expressions in order of decreasing length, this problem is solved for rules defined as strings. For functions,
+the order can be explicitly controlled since rules appearing first are checked first.
+
+<P>
+<li>The lexer requires input to be supplied as a single input string. Since most machines have more than enough memory, this
+rarely presents a performance concern. However, it means that the lexer currently can't be used with streaming data
+such as open files or sockets. This limitation is primarily a side-effect of using the <tt>re</tt> module.
+
+<p>
+<li>
+To handle reserved words, it is usually easier to just match an identifier and do a special name lookup in a function
+like this:
+
+<blockquote>
+<pre>
+reserved = {
+ 'if' : 'IF',
+ 'then' : 'THEN',
+ 'else' : 'ELSE',
+ 'while' : 'WHILE',
+ ...
+}
+
+def t_ID(t):
+ r'[a-zA-Z_][a-zA-Z_0-9]*'
+ t.type = reserved.get(t.value,'ID') # Check for reserved words
+ return t
+</pre>
+</blockquote>
+
+<p>
+<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>
+attributes. By default, tokens are created as instances of the <tt>LexToken</tt> class defined internally to <tt>lex.py</tt>.
+If desired, you can create new kinds of tokens provided that they have the three required attributes. However,
+in practice, it is probably safer to stick with the default.
+
+<p>
+<li>The only safe attribute for assigning token properties is <tt>t.value</tt>. In some cases, you may want to attach
+a number of different properties to a token (e.g., symbol table entries for identifiers). To do this, replace <tt>t.value</tt>
+with a tuple or class instance. For example:
+
+<blockquote>
+<pre>
+def t_ID(t):
+ ...
+ # For identifiers, create a (lexeme, symtab) tuple
+ t.value = (t.value, symbol_lookup(t.value))
+ ...
+ return t
+</pre>
+</blockquote>
+
+Although allowed, do NOT assign additional attributes to the token object. For example,
+<blockquote>
+<pre>
+def t_ID(t):
+ ...
+ # Bad implementation of above
+ t.symtab = symbol_lookup(t.value)
+ ...
+</pre>
+</blockquote>
+
+The reason you don't want to do this is that the <tt>yacc.py</tt>
+module only provides public access to the <tt>t.value</tt> attribute of each token.
+Therefore, any other attributes you assign are inaccessible (if you are familiar
+with the internals of C lex/yacc, <tt>t.value</tt> is the same as <tt>yylval.tok</tt>).
+
+<p>
+<li>To track line numbers, the lexer internally maintains a line
+number variable. Each token automatically gets the value of the
+current line number in the <tt>t.lineno</tt> attribute. To modify the
+current line number, simply change the <tt>t.lineno</tt> attribute
+in a function rule (as previously shown for
+<tt>t_newline()</tt>). Even if the resulting token is discarded,
+changes to the line number remain in effect for subsequent tokens.
+
+<p>
+<li>To support multiple scanners in the same application, the <tt>lex.lex()</tt> function
+actually returns a special <tt>Lexer</tt> object. This object has two methods
+<tt>input()</tt> and <tt>token()</tt> that can be used to supply input and get tokens. For example:
+
+<blockquote>
+<pre>
+lexer = lex.lex()
+lexer.input(sometext)
+while 1:
+ tok = lexer.token()
+ if not tok: break
+ print tok
+</pre>
+</blockquote>
+
+The functions <tt>lex.input()</tt> and <tt>lex.token()</tt> are bound to the <tt>input()</tt>
+and <tt>token()</tt> methods of the last lexer created by the lex module.
+
+
+<p>
+<li>To reduce compiler startup time and improve performance, the lexer can be built in optimized mode as follows:
+
+<blockquote>
+<pre>
+lex.lex(optimize=1)
+</pre>
+</blockquote>
+
+When used, most error checking and validation is disabled. This provides a slight performance
+gain while tokenizing and tends to chop a few tenths of a second off startup time. Since it disables
+error checking, this mode is not the default and is not recommended during development. However, once
+you have your compiler fully working, it is usually safe to disable the error checks.
+
+<p>
+<li>You can enable some additional debugging by building the lexer like this:
+
+<blockquote>
+<pre>
+lex.lex(debug=1)
+</pre>
+</blockquote>
+
+<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>&lt;</tt> and <tt>&gt;</tt> but you didn't want to allow
+combinations like <tt>a &lt; b &lt; 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>
+
+
+
+
+
+
+