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\documentclass{howto}

% TODO:
% Document lookbehind assertions
% Better way of displaying a RE, a string, and what it matches
% Mention optional argument to match.groups()
% Unicode (at least a reference)

\title{Regular Expression HOWTO}

\release{0.05}

\author{A.M. Kuchling}
\authoraddress{\email{amk@amk.ca}}

\begin{document}
\maketitle

\begin{abstract}
\noindent
This document is an introductory tutorial to using regular expressions
in Python with the \module{re} module.  It provides a gentler
introduction than the corresponding section in the Library Reference.

This document is available from 
\url{http://www.amk.ca/python/howto}.

\end{abstract}

\tableofcontents

\section{Introduction}

The \module{re} module was added in Python 1.5, and provides
Perl-style regular expression patterns.  Earlier versions of Python
came with the \module{regex} module, which provides Emacs-style
patterns.  Emacs-style patterns are slightly less readable and
don't provide as many features, so there's not much reason to use
the \module{regex} module when writing new code, though you might
encounter old code that uses it.

Regular expressions (or REs) are essentially a tiny, highly
specialized programming language embedded inside Python and made
available through the \module{re} module.  Using this little language,
you specify the rules for the set of possible strings that you want to
match; this set might contain English sentences, or e-mail addresses,
or TeX commands, or anything you like.  You can then ask questions
such as ``Does this string match the pattern?'', or ``Is there a match
for the pattern anywhere in this string?''.  You can also use REs to
modify a string or to split it apart in various ways.

Regular expression patterns are compiled into a series of bytecodes
which are then executed by a matching engine written in C.  For
advanced use, it may be necessary to pay careful attention to how the
engine will execute a given RE, and write the RE in a certain way in
order to produce bytecode that runs faster.  Optimization isn't
covered in this document, because it requires that you have a good
understanding of the matching engine's internals.

The regular expression language is relatively small and restricted, so
not all possible string processing tasks can be done using regular
expressions.  There are also tasks that \emph{can} be done with
regular expressions, but the expressions turn out to be very
complicated.  In these cases, you may be better off writing Python
code to do the processing; while Python code will be slower than an
elaborate regular expression, it will also probably be more understandable.

\section{Simple Patterns}

We'll start by learning about the simplest possible regular
expressions.  Since regular expressions are used to operate on
strings, we'll begin with the most common task: matching characters.

For a detailed explanation of the computer science underlying regular
expressions (deterministic and non-deterministic finite automata), you
can refer to almost any textbook on writing compilers.

\subsection{Matching Characters}

Most letters and characters will simply match themselves.  For
example, the regular expression \regexp{test} will match the string
\samp{test} exactly.  (You can enable a case-insensitive mode that
would let this RE match \samp{Test} or \samp{TEST} as well; more
about this later.)  

There are exceptions to this rule; some characters are
special, and don't match themselves.  Instead, they signal that some
out-of-the-ordinary thing should be matched, or they affect other
portions of the RE by repeating them.  Much of this document is
devoted to discussing various metacharacters and what they do.

Here's a complete list of the metacharacters; their meanings will be
discussed in the rest of this HOWTO.

\begin{verbatim}
. ^ $ * + ? { [ ] \ | ( )
\end{verbatim}
% $

The first metacharacters we'll look at are \samp{[} and \samp{]}.
They're used for specifying a character class, which is a set of
characters that you wish to match.  Characters can be listed
individually, or a range of characters can be indicated by giving two
characters and separating them by a \character{-}.  For example,
\regexp{[abc]} will match any of the characters \samp{a}, \samp{b}, or
\samp{c}; this is the same as
\regexp{[a-c]}, which uses a range to express the same set of
characters.  If you wanted to match only lowercase letters, your
RE would be \regexp{[a-z]}.

Metacharacters are not active inside classes.  For example,
\regexp{[akm\$]} will match any of the characters \character{a},
\character{k}, \character{m}, or \character{\$}; \character{\$} is
usually a metacharacter, but inside a character class it's stripped of
its special nature.

You can match the characters not within a range by \dfn{complementing}
the set.  This is indicated by including a \character{\^} as the first
character of the class; \character{\^} elsewhere will simply match the
\character{\^} character.  For example, \verb|[^5]| will match any
character except \character{5}.

Perhaps the most important metacharacter is the backslash, \samp{\e}.  
As in Python string literals, the backslash can be followed by various
characters to signal various special sequences.  It's also used to escape
all the metacharacters so you can still match them in patterns; for
example, if you need to match a \samp{[} or 
\samp{\e}, you can precede them with a backslash to remove their
special meaning: \regexp{\e[} or \regexp{\e\e}.

Some of the special sequences beginning with \character{\e} represent
predefined sets of characters that are often useful, such as the set
of digits, the set of letters, or the set of anything that isn't
whitespace.  The following predefined special sequences are available:

\begin{itemize}
\item[\code{\e d}]Matches any decimal digit; this is
equivalent to the class \regexp{[0-9]}.

\item[\code{\e D}]Matches any non-digit character; this is
equivalent to the class \verb|[^0-9]|.

\item[\code{\e s}]Matches any whitespace character; this is
equivalent to the class \regexp{[ \e t\e n\e r\e f\e v]}.

\item[\code{\e S}]Matches any non-whitespace character; this is
equivalent to the class \verb|[^ \t\n\r\f\v]|.

\item[\code{\e w}]Matches any alphanumeric character; this is equivalent to the class
\regexp{[a-zA-Z0-9_]}.  

\item[\code{\e W}]Matches any non-alphanumeric character; this is equivalent to the class
\verb|[^a-zA-Z0-9_]|.   
\end{itemize}

These sequences can be included inside a character class.  For
example, \regexp{[\e s,.]} is a character class that will match any
whitespace character, or \character{,} or \character{.}.

The final metacharacter in this section is \regexp{.}.  It matches
anything except a newline character, and there's an alternate mode
(\code{re.DOTALL}) where it will match even a newline.  \character{.}
is often used where you want to match ``any character''.  

\subsection{Repeating Things}

Being able to match varying sets of characters is the first thing
regular expressions can do that isn't already possible with the
methods available on strings.  However, if that was the only
additional capability of regexes, they wouldn't be much of an advance.
Another capability is that you can specify that portions of the RE
must be repeated a certain number of times.

The first metacharacter for repeating things that we'll look at is
\regexp{*}.  \regexp{*} doesn't match the literal character \samp{*};
instead, it specifies that the previous character can be matched zero
or more times, instead of exactly once.

For example, \regexp{ca*t} will match \samp{ct} (0 \samp{a}
characters), \samp{cat} (1 \samp{a}), \samp{caaat} (3 \samp{a}
characters), and so forth.  The RE engine has various internal
limitations stemming from the size of C's \code{int} type, that will
prevent it from matching over 2 billion \samp{a} characters; you
probably don't have enough memory to construct a string that large, so
you shouldn't run into that limit.

Repetitions such as \regexp{*} are \dfn{greedy}; when repeating a RE,
the matching engine will try to repeat it as many times as possible.
If later portions of the pattern don't match, the matching engine will
then back up and try again with few repetitions.

A step-by-step example will make this more obvious.  Let's consider
the expression \regexp{a[bcd]*b}.  This matches the letter
\character{a}, zero or more letters from the class \code{[bcd]}, and
finally ends with a \character{b}.  Now imagine matching this RE
against the string \samp{abcbd}.  

\begin{tableiii}{c|l|l}{}{Step}{Matched}{Explanation}
\lineiii{1}{\code{a}}{The \regexp{a} in the RE matches.}
\lineiii{2}{\code{abcbd}}{The engine matches \regexp{[bcd]*}, going as far as
it can, which is to the end of the string.}
\lineiii{3}{\emph{Failure}}{The engine tries to match \regexp{b}, but the
current position is at the end of the string, so it fails.}
\lineiii{4}{\code{abcb}}{Back up, so that  \regexp{[bcd]*} matches
one less character.}
\lineiii{5}{\emph{Failure}}{Try \regexp{b} again, but the
current position is at the last character, which is a \character{d}.}
\lineiii{6}{\code{abc}}{Back up again, so that  \regexp{[bcd]*} is
only matching \samp{bc}.}
\lineiii{6}{\code{abcb}}{Try \regexp{b} again.  This time 
but the character at the current position is \character{b}, so it succeeds.}
\end{tableiii}

The end of the RE has now been reached, and it has matched
\samp{abcb}.  This demonstrates how the matching engine goes as far as
it can at first, and if no match is found it will then progressively
back up and retry the rest of the RE again and again.  It will back up
until it has tried zero matches for \regexp{[bcd]*}, and if that
subsequently fails, the engine will conclude that the string doesn't
match the RE at all.

Another repeating metacharacter is \regexp{+}, which matches one or
more times.  Pay careful attention to the difference between
\regexp{*} and \regexp{+}; \regexp{*} matches \emph{zero} or more
times, so whatever's being repeated may not be present at all, while
\regexp{+} requires at least \emph{one} occurrence.  To use a similar
example, \regexp{ca+t} will match \samp{cat} (1 \samp{a}),
\samp{caaat} (3 \samp{a}'s), but won't match \samp{ct}.

There are two more repeating qualifiers.  The question mark character,
\regexp{?}, matches either once or zero times; you can think of it as
marking something as being optional.  For example, \regexp{home-?brew}
matches either \samp{homebrew} or \samp{home-brew}.  

The most complicated repeated qualifier is
\regexp{\{\var{m},\var{n}\}}, where \var{m} and \var{n} are decimal
integers.  This qualifier means there must be at least \var{m}
repetitions, and at most \var{n}.  For example, \regexp{a/\{1,3\}b}
will match \samp{a/b}, \samp{a//b}, and \samp{a///b}.  It won't match
\samp{ab}, which has no slashes, or \samp{a////b}, which has four.

You can omit either \var{m} or \var{n}; in that case, a reasonable
value is assumed for the missing value.  Omitting \var{m} is
interpreted as a lower limit of 0, while omitting \var{n} results in  an
upper bound of infinity --- actually, the 2 billion limit mentioned
earlier, but that might as well be infinity.  

Readers of a reductionist bent may notice that the three other qualifiers
can all be expressed using this notation.  \regexp{\{0,\}} is the same
as \regexp{*}, \regexp{\{1,\}} is equivalent to \regexp{+}, and
\regexp{\{0,1\}} is the same as \regexp{?}.  It's better to use
\regexp{*}, \regexp{+}, or \regexp{?} when you can, simply because
they're shorter and easier to read.

\section{Using Regular Expressions}

Now that we've looked at some simple regular expressions, how do we
actually use them in Python?  The \module{re} module provides an
interface to the regular expression engine, allowing you to compile
REs into objects and then perform matches with them.

\subsection{Compiling Regular Expressions}

Regular expressions are compiled into \class{RegexObject} instances,
which have methods for various operations such as searching for
pattern matches or performing string substitutions.

\begin{verbatim}
>>> import re
>>> p = re.compile('ab*')
>>> print p
<re.RegexObject instance at 80b4150>
\end{verbatim}

\function{re.compile()} also accepts an optional \var{flags}
argument, used to enable various special features and syntax
variations.  We'll go over the available settings later, but for now a
single example will do:

\begin{verbatim}
>>> p = re.compile('ab*', re.IGNORECASE)
\end{verbatim}

The RE is passed to \function{re.compile()} as a string.  REs are
handled as strings because regular expressions aren't part of the core
Python language, and no special syntax was created for expressing
them.  (There are applications that don't need REs at all, so there's
no need to bloat the language specification by including them.)
Instead, the \module{re} module is simply a C extension module
included with Python, just like the \module{socket} or \module{zlib}
module.

Putting REs in strings keeps the Python language simpler, but has one
disadvantage which is the topic of the next section.

\subsection{The Backslash Plague}

As stated earlier, regular expressions use the backslash
character (\character{\e}) to indicate special forms or to allow
special characters to be used without invoking their special meaning.
This conflicts with Python's usage of the same character for the same
purpose in string literals.

Let's say you want to write a RE that matches the string
\samp{{\e}section}, which might be found in a \LaTeX\ file.  To figure
out what to write in the program code, start with the desired string
to be matched.  Next, you must escape any backslashes and other
metacharacters by preceding them with a backslash, resulting in the
string \samp{\e\e section}.  The resulting string that must be passed
to \function{re.compile()} must be \verb|\\section|.  However, to
express this as a Python string literal, both backslashes must be
escaped \emph{again}.

\begin{tableii}{c|l}{code}{Characters}{Stage}
  \lineii{\e section}{Text string to be matched}
  \lineii{\e\e section}{Escaped backslash for \function{re.compile}}
  \lineii{"\e\e\e\e section"}{Escaped backslashes for a string literal}
\end{tableii}

In short, to match a literal backslash, one has to write
\code{'\e\e\e\e'} as the RE string, because the regular expression
must be \samp{\e\e}, and each backslash must be expressed as
\samp{\e\e} inside a regular Python string literal.  In REs that
feature backslashes repeatedly, this leads to lots of repeated
backslashes and makes the resulting strings difficult to understand.

The solution is to use Python's raw string notation for regular
expressions; backslashes are not handled in any special way in
a string literal prefixed with \character{r}, so \code{r"\e n"} is a
two-character string containing \character{\e} and \character{n},
while \code{"\e n"} is a one-character string containing a newline.
Frequently regular expressions will be expressed in Python
code using this raw string notation.  

\begin{tableii}{c|c}{code}{Regular String}{Raw string}
  \lineii{"ab*"}{\code{r"ab*"}}
  \lineii{"\e\e\e\e section"}{\code{r"\e\e section"}}
  \lineii{"\e\e w+\e\e s+\e\e 1"}{\code{r"\e w+\e s+\e 1"}}
\end{tableii}

\subsection{Performing Matches}

Once you have an object representing a compiled regular expression,
what do you do with it?  \class{RegexObject} instances have several
methods and attributes.  Only the most significant ones will be
covered here; consult \ulink{the Library
Reference}{http://www.python.org/doc/lib/module-re.html} for a
complete listing.

\begin{tableii}{c|l}{code}{Method/Attribute}{Purpose}
  \lineii{match()}{Determine if the RE matches at the beginning of
  the string.}
  \lineii{search()}{Scan through a string, looking for any location
  where this RE matches.}
  \lineii{findall()}{Find all substrings where the RE matches,
and returns them as a list.}
  \lineii{finditer()}{Find all substrings where the RE matches,
and returns them as an iterator.}
\end{tableii}

\method{match()} and \method{search()} return \code{None} if no match
can be found.  If they're successful, a \code{MatchObject} instance is
returned, containing information about the match: where it starts and
ends, the substring it matched, and more.

You can learn about this by interactively experimenting with the
\module{re} module.  If you have Tkinter available, you may also want
to look at \file{Tools/scripts/redemo.py}, a demonstration program
included with the Python distribution.  It allows you to enter REs and
strings, and displays whether the RE matches or fails.
\file{redemo.py} can be quite useful when trying to debug a
complicated RE.  Phil Schwartz's
\ulink{Kodos}{http://kodos.sourceforge.net} is also an interactive
tool for developing and testing RE patterns.  This HOWTO will use the
standard Python interpreter for its examples.

First, run the Python interpreter, import the \module{re} module, and
compile a RE:

\begin{verbatim}
Python 2.2.2 (#1, Feb 10 2003, 12:57:01)
>>> import re
>>> p = re.compile('[a-z]+')
>>> p
<_sre.SRE_Pattern object at 80c3c28>
\end{verbatim}

Now, you can try matching various strings against the RE
\regexp{[a-z]+}.  An empty string shouldn't match at all, since
\regexp{+} means 'one or more repetitions'.  \method{match()} should
return \code{None} in this case, which will cause the interpreter to
print no output.  You can explicitly print the result of
\method{match()} to make this clear.

\begin{verbatim}
>>> p.match("")
>>> print p.match("")
None
\end{verbatim}

Now, let's try it on a string that it should match, such as
\samp{tempo}.  In this case, \method{match()} will return a
\class{MatchObject}, so you should store the result in a variable for
later use.

\begin{verbatim}
>>> m = p.match( 'tempo')
>>> print m
<_sre.SRE_Match object at 80c4f68>
\end{verbatim}

Now you can query the \class{MatchObject} for information about the
matching string.   \class{MatchObject} instances also have several
methods and attributes; the most important ones are:

\begin{tableii}{c|l}{code}{Method/Attribute}{Purpose}
  \lineii{group()}{Return the string matched by the RE}
  \lineii{start()}{Return the starting position of the match}
  \lineii{end()}{Return the ending position of the match}
  \lineii{span()}{Return a tuple containing the (start, end) positions 
                  of the match}
\end{tableii}

Trying these methods will soon clarify their meaning:

\begin{verbatim}
>>> m.group()
'tempo'
>>> m.start(), m.end()
(0, 5)
>>> m.span()
(0, 5)
\end{verbatim}

\method{group()} returns the substring that was matched by the
RE.  \method{start()} and \method{end()} return the starting and
ending index of the match. \method{span()} returns both start and end
indexes in a single tuple.  Since the \method{match} method only
checks if the RE matches at the start of a string,
\method{start()} will always be zero.  However, the \method{search}
method of \class{RegexObject} instances scans through the string, so 
the match may not start at zero in that case.

\begin{verbatim}
>>> print p.match('::: message')
None
>>> m = p.search('::: message') ; print m
<re.MatchObject instance at 80c9650>
>>> m.group()
'message'
>>> m.span()
(4, 11)
\end{verbatim}

In actual programs, the most common style is to store the
\class{MatchObject} in a variable, and then check if it was
\code{None}.  This usually looks like:

\begin{verbatim}
p = re.compile( ... )
m = p.match( 'string goes here' )
if m:
    print 'Match found: ', m.group()
else:
    print 'No match'
\end{verbatim}

Two \class{RegexObject} methods return all of the matches for a pattern.
\method{findall()} returns a list of matching strings:

\begin{verbatim}
>>> p = re.compile('\d+')
>>> p.findall('12 drummers drumming, 11 pipers piping, 10 lords a-leaping')
['12', '11', '10']
\end{verbatim}

\method{findall()} has to create the entire list before it can be
returned as the result.  In Python 2.2, the \method{finditer()} method
is also available, returning a sequence of \class{MatchObject} instances 
as an iterator.

\begin{verbatim}
>>> iterator = p.finditer('12 drummers drumming, 11 ... 10 ...')
>>> iterator
<callable-iterator object at 0x401833ac>
>>> for match in iterator:
...     print match.span()
...
(0, 2)
(22, 24)
(29, 31)
\end{verbatim}


\subsection{Module-Level Functions}

You don't have to produce a \class{RegexObject} and call its methods;
the \module{re} module also provides top-level functions called
\function{match()}, \function{search()}, \function{sub()}, and so
forth.  These functions take the same arguments as the corresponding
\class{RegexObject} method, with the RE string added as the first
argument, and still return either \code{None} or a \class{MatchObject}
instance.

\begin{verbatim}
>>> print re.match(r'From\s+', 'Fromage amk')
None
>>> re.match(r'From\s+', 'From amk Thu May 14 19:12:10 1998')
<re.MatchObject instance at 80c5978>
\end{verbatim}

Under the hood, these functions simply produce a \class{RegexObject}
for you and call the appropriate method on it.  They also store the
compiled object in a cache, so future calls using the same
RE are faster.  

Should you use these module-level functions, or should you get the
\class{RegexObject} and call its methods yourself?  That choice
depends on how frequently the RE will be used, and on your personal
coding style.  If a RE is being used at only one point in the code,
then the module functions are probably more convenient.  If a program
contains a lot of regular expressions, or re-uses the same ones in
several locations, then it might be worthwhile to collect all the
definitions in one place, in a section of code that compiles all the
REs ahead of time.  To take an example from the standard library,
here's an extract from \file{xmllib.py}:

\begin{verbatim}
ref = re.compile( ... )
entityref = re.compile( ... )
charref = re.compile( ... )
starttagopen = re.compile( ... )
\end{verbatim}

I generally prefer to work with the compiled object, even for
one-time uses, but few people will be as much of a purist about this
as I am.

\subsection{Compilation Flags}

Compilation flags let you modify some aspects of how regular
expressions work.  Flags are available in the \module{re} module under
two names, a long name such as \constant{IGNORECASE}, and a short,
one-letter form such as \constant{I}.  (If you're familiar with Perl's
pattern modifiers, the one-letter forms use the same letters; the
short form of \constant{re.VERBOSE} is \constant{re.X}, for example.)
Multiple flags can be specified by bitwise OR-ing them; \code{re.I |
re.M} sets both the \constant{I} and \constant{M} flags, for example.

Here's a table of the available flags, followed by
a more detailed explanation of each one.

\begin{tableii}{c|l}{}{Flag}{Meaning}
  \lineii{\constant{DOTALL}, \constant{S}}{Make \regexp{.} match any
  character, including newlines}
  \lineii{\constant{IGNORECASE}, \constant{I}}{Do case-insensitive matches}
  \lineii{\constant{LOCALE}, \constant{L}}{Do a locale-aware match}
  \lineii{\constant{MULTILINE}, \constant{M}}{Multi-line matching,
  affecting \regexp{\^} and \regexp{\$}}
  \lineii{\constant{VERBOSE}, \constant{X}}{Enable verbose REs,
  which can be organized more cleanly and understandably.}
\end{tableii}

\begin{datadesc}{I}
\dataline{IGNORECASE}
Perform case-insensitive matching; character class and literal strings
will match
letters by ignoring case.  For example, \regexp{[A-Z]} will match
lowercase letters, too, and \regexp{Spam} will match \samp{Spam},
\samp{spam}, or \samp{spAM}.
This lowercasing doesn't take the current locale into account; it will
if you also set the \constant{LOCALE} flag.
\end{datadesc}

\begin{datadesc}{L}
\dataline{LOCALE}
Make \regexp{\e w}, \regexp{\e W}, \regexp{\e b},
and \regexp{\e B}, dependent on the current locale.  

Locales are a feature of the C library intended to help in writing
programs that take account of language differences.  For example, if
you're processing French text, you'd want to be able to write
\regexp{\e w+} to match words, but \regexp{\e w} only matches the
character class \regexp{[A-Za-z]}; it won't match \character{\'e} or
\character{\c c}.  If your system is configured properly and a French
locale is selected, certain C functions will tell the program that
\character{\'e} should also be considered a letter.  Setting the
\constant{LOCALE} flag when compiling a regular expression will cause the