Man1 - perlretut.1perl
Table of Contents
- NAME
- DESCRIPTION
- Part 1: The basics
- Simple word matching
- Using character classes
- Matching this or that
- Grouping things and hierarchical matching
- Extracting matches
- Backreferences
- Relative backreferences
- Named backreferences
- Alternative capture group numbering
- Position information
- Non-capturing groupings
- Matching repetitions
- Possessive quantifiers
- Building a regexp
- Using regular expressions in Perl
- Part 2: Power tools
- More on characters, strings, and character classes
- Compiling and saving regular expressions
- Composing regular expressions at runtime
- Embedding comments and modifiers in a regular expression
- Looking ahead and looking behind
- Using independent subexpressions to prevent backtracking
- Conditional expressions
- Defining named patterns
- Recursive patterns
- A bit of magic: executing Perl code in a regular expression
- Backtracking control verbs
- Pragmas and debugging
- SEE ALSO
- AUTHOR AND COPYRIGHT
NAME
perlretut - Perl regular expressions tutorial
DESCRIPTION
This page provides a basic tutorial on understanding, creating and using
regular expressions in Perl. It serves as a complement to the reference
page on regular expressions perlre. Regular expressions are an integral
part of the m//
, s///
, qr//
and split
operators and so this
tutorial also overlaps with Regexp Quote-Like Operators in perlop and
split in perlfunc.
Perl is widely renowned for excellence in text processing, and regular expressions are one of the big factors behind this fame. Perl regular expressions display an efficiency and flexibility unknown in most other computer languages. Mastering even the basics of regular expressions will allow you to manipulate text with surprising ease.
What is a regular expression? At its most basic, a regular expression is a template that is used to determine if a string has certain characteristics. The string is most often some text, such as a line, sentence, web page, or even a whole book, but it doesn’t have to be. It could be binary data, for example. Biologists often use Perl to look for patterns in long DNA sequences.
Suppose we want to determine if the text in variable, $var
contains
the sequence of characters m u s h r o o m
(blanks added for
legibility). We can write in Perl
$var =~ m/mushroom/
The value of this expression will be TRUE if $var
contains that
sequence of characters anywhere within it, and FALSE otherwise. The
portion enclosed in /
characters denotes the characteristic we are
looking for. We use the term pattern for it. The process of looking to
see if the pattern occurs in the string is called matching, and the
"=~"
operator along with the m//
tell Perl to try to match the
pattern against the string. Note that the pattern is also a string, but
a very special kind of one, as we will see. Patterns are in common use
these days; examples are the patterns typed into a search engine to find
web pages and the patterns used to list files in a directory, e.g.,
“ls *.txt
or dir *.*
”. In Perl, the patterns described by regular
expressions are used not only to search strings, but to also extract
desired parts of strings, and to do search and replace operations.
Regular expressions have the undeserved reputation of being abstract and
difficult to understand. This really stems simply because the notation
used to express them tends to be terse and dense, and not because of
inherent complexity. We recommend using the /x
regular expression
modifier (described below) along with plenty of white space to make them
less dense, and easier to read. Regular expressions are constructed
using simple concepts like conditionals and loops and are no more
difficult to understand than the corresponding if
conditionals and
while
loops in the Perl language itself.
This tutorial flattens the learning curve by discussing regular expression concepts, along with their notation, one at a time and with many examples. The first part of the tutorial will progress from the simplest word searches to the basic regular expression concepts. If you master the first part, you will have all the tools needed to solve about 98% of your needs. The second part of the tutorial is for those comfortable with the basics and hungry for more power tools. It discusses the more advanced regular expression operators and introduces the latest cutting-edge innovations.
A note: to save time, regular expression is often abbreviated as regexp or regex. Regexp is a more natural abbreviation than regex, but is harder to pronounce. The Perl pod documentation is evenly split on regexp vs regex; in Perl, there is more than one way to abbreviate it. We’ll use regexp in this tutorial.
New in v5.22, use re strict
applies stricter rules than otherwise when
compiling regular expression patterns. It can find things that, while
legal, may not be what you intended.
Part 1: The basics
Simple word matching
The simplest regexp is simply a word, or more generally, a string of characters. A regexp consisting of just a word matches any string that contains that word:
“Hello World” =~ World; # matches
What is this Perl statement all about? "Hello World"
is a simple
double-quoted string. World
is the regular expression and the //
enclosing /World/
tells Perl to search a string for a match. The
operator =~
associates the string with the regexp match and produces a
true value if the regexp matched, or false if the regexp did not match.
In our case, World
matches the second word in "Hello World"
, so the
expression is true. Expressions like this are useful in conditionals:
if (“Hello World” =~ World) { print “It matches\n”; } else { print “It doesnt match\n”; }
There are useful variations on this theme. The sense of the match can be
reversed by using the !~
operator:
if (“Hello World” !~ World) { print “It doesnt match\n”; } else { print “It matches\n”; }
The literal string in the regexp can be replaced by a variable:
my $greeting = “World”; if (“Hello World” =~ $greeting) { print “It matches\n”; } else { print “It doesnt match\n”; }
If you’re matching against the special default variable $_
, the
$_ =~
part can be omitted:
$_ = “Hello World”; if (World) { print “It matches\n”; } else { print “It doesnt match\n”; }
And finally, the //
default delimiters for a match can be changed to
arbitrary delimiters by putting an m
out front:
“Hello World” =~ m!World!; # matches, delimited by ! “Hello World” =~ m{World}; # matches, note the paired {} “/usr/bin/perl” =~ m“/perl”; # matches after /usr/bin, # / becomes an ordinary char
/World/
, m!World!
, and m{World}
all represent the same thing.
When, e.g., the quote ("
) is used as a delimiter, the forward slash
/
becomes an ordinary character and can be used in this regexp without
trouble.
Let’s consider how different regexps would match "Hello World"
:
“Hello World” =~ world; # doesnt match “Hello World” =~ o W; # matches “Hello World” =~ oW; # doesnt match “Hello World” =~ /World /;
The first regexp world
doesn’t match because regexps are by default
case-sensitive. The second regexp matches because the substring o W
occurs in the string "Hello World"
. The space character = = is treated
like any other character in a regexp and is needed to match in this
case. The lack of a space character is the reason the third regexp oW
doesn’t match. The fourth regexp “=World =” doesn’t match because there
is a space at the end of the regexp, but not at the end of the string.
The lesson here is that regexps must match a part of the string
exactly in order for the statement to be true.
If a regexp matches in more than one place in the string, Perl will always match at the earliest possible point in the string:
“Hello World” =~ o; # matches o in Hello “That hat is red” =~ hat; # matches hat in That
With respect to character matching, there are a few more points you need to know about. First of all, not all characters can be used as-is in a match. Some characters, called metacharacters, are generally reserved for use in regexp notation. The metacharacters are
{}[]()^$.|*+?-#\
This list is not as definitive as it may appear (or be claimed to be in
other documentation). For example, "#"
is a metacharacter only when
the /x
pattern modifier (described below) is used, and both "}"
and
"]"
are metacharacters only when paired with opening "{"
or "["
respectively; other gotchas apply.
The significance of each of these will be explained in the rest of the tutorial, but for now, it is important only to know that a metacharacter can be matched as-is by putting a backslash before it:
“2+2=4” =~ 2+2; # doesnt match, + is a metacharacter “2+2=4” =~ 2\+2; # matches, \+ is treated like an ordinary + “The interval is [0,1).” =~ [0,1). # is a syntax error! “The interval is [0,1).” =~ \[0,1\)\. # matches “#!/usr/bin/perl” =~ #!\/usr\/bin\/perl; # matches
In the last regexp, the forward slash /
is also backslashed, because
it is used to delimit the regexp. This can lead to LTS (leaning
toothpick syndrome), however, and it is often more readable to change
delimiters.
“#!/usr/bin/perl” =~ m!#\!/usr/bin/perl!; # easier to read
The backslash character \
is a metacharacter itself and needs to be
backslashed:
C:\WIN32 =~ C:\\WIN; # matches
In situations where it doesn’t make sense for a particular metacharacter
to mean what it normally does, it automatically loses its
metacharacter-ness and becomes an ordinary character that is to be
matched literally. For example, the }
is a metacharacter only when it
is the mate of a {
metacharacter. Otherwise it is treated as a literal
RIGHT CURLY BRACKET. This may lead to unexpected results.
use re strict
can catch some of these.
In addition to the metacharacters, there are some ASCII characters which
don’t have printable character equivalents and are instead represented
by escape sequences. Common examples are \t
for a tab, \n
for a
newline, \r
for a carriage return and \a
for a bell (or alert). If
your string is better thought of as a sequence of arbitrary bytes, the
octal escape sequence, e.g., \033
, or hexadecimal escape sequence,
e.g., \x1B
may be a more natural representation for your bytes. Here
are some examples of escapes:
“1000\t2000” =~ m(0\t2) # matches “1000\n2000” =~ 0\n20 # matches “1000\t2000” =~ \000\t2 # doesnt match, “0” ne “\000” “cat” =~ \o{143}\x61\x74 # matches in ASCII, but a weird way # to spell cat
If you’ve been around Perl a while, all this talk of escape sequences may seem familiar. Similar escape sequences are used in double-quoted strings and in fact the regexps in Perl are mostly treated as double-quoted strings. This means that variables can be used in regexps as well. Just like double-quoted strings, the values of the variables in the regexp will be substituted in before the regexp is evaluated for matching purposes. So we have:
$foo = house; housecat =~ $foo; # matches cathouse =~ cat$foo; # matches housecat =~ ${foo}cat; # matches
So far, so good. With the knowledge above you can already perform searches with just about any literal string regexp you can dream up. Here is a very simple emulation of the Unix grep program:
% cat > simple_grep #!/usr/bin/perl $regexp = shift; while (<>) { print if $regexp; } ^D % chmod +x simple_grep % simple_grep abba /usr/dict/words Babbage cabbage cabbages sabbath Sabbathize Sabbathizes sabbatical scabbard scabbards
This program is easy to understand. #!/usr/bin/perl
is the standard
way to invoke a perl program from the shell. $regexp = shift;
saves
the first command line argument as the regexp to be used, leaving the
rest of the command line arguments to be treated as files. while (<>)
loops over all the lines in all the files. For each line,
print if /$regexp/;
prints the line if the regexp matches the line. In
this line, both print
and /$regexp/
use the default variable $_
implicitly.
With all of the regexps above, if the regexp matched anywhere in the
string, it was considered a match. Sometimes, however, we’d like to
specify where in the string the regexp should try to match. To do
this, we would use the anchor metacharacters ^
and $
. The anchor
^
means match at the beginning of the string and the anchor $
means
match at the end of the string, or before a newline at the end of the
string. Here is how they are used:
“housekeeper” =~ keeper; # matches “housekeeper” =~ ^keeper; # doesnt match “housekeeper” =~ keeper$; # matches “housekeeper\n” =~ keeper$; # matches
The second regexp doesn’t match because ^
constrains keeper
to match
only at the beginning of the string, but "housekeeper"
has keeper
starting in the middle. The third regexp does match, since the $
constrains keeper
to match only at the end of the string.
When both ^
and $
are used at the same time, the regexp has to match
both the beginning and the end of the string, i.e., the regexp matches
the whole string. Consider
“keeper” =~ ^keep$; # doesnt match “keeper” =~ ^keeper$; # matches “” =~ ^$; # ^$ matches an empty string
The first regexp doesn’t match because the string has more to it than
keep
. Since the second regexp is exactly the string, it matches. Using
both ^
and $
in a regexp forces the complete string to match, so it
gives you complete control over which strings match and which don’t.
Suppose you are looking for a fellow named bert, off in a string by
himself:
“dogbert” =~ bert; # matches, but not what you want “dilbert” =~ ^bert; # doesnt match, but .. “bertram” =~ ^bert; # matches, so still not good enough “bertram” =~ ^bert$; # doesnt match, good “dilbert” =~ ^bert$; # doesnt match, good “bert” =~ ^bert$; # matches, perfect
Of course, in the case of a literal string, one could just as easily use
the string comparison $string eq bert
and it would be more efficient.
The ^...$
regexp really becomes useful when we add in the more
powerful regexp tools below.
Using character classes
Although one can already do quite a lot with the literal string regexps above, we’ve only scratched the surface of regular expression technology. In this and subsequent sections we will introduce regexp concepts (and associated metacharacter notations) that will allow a regexp to represent not just a single character sequence, but a whole class of them.
One such concept is that of a character class. A character class
allows a set of possible characters, rather than just a single
character, to match at a particular point in a regexp. You can define
your own custom character classes. These are denoted by brackets
[...]
, with the set of characters to be possibly matched inside. Here
are some examples:
cat; # matches cat [bcr]at; # matches bat, cat, or rat item[0123456789]; # matches item0 or … or item9 “abc” =~ [cab]; # matches a
In the last statement, even though c
is the first character in the
class, a
matches because the first character position in the string is
the earliest point at which the regexp can match.
[yY][eE][sS]; # match yes in a case-insensitive way # yes, Yes, YES, etc.
This regexp displays a common task: perform a case-insensitive match.
Perl provides a way of avoiding all those brackets by simply appending
an i
to the end of the match. Then /[yY][eE][sS]/;
can be rewritten
as /yes/i;
. The i
stands for case-insensitive and is an example of a
modifier of the matching operation. We will meet other modifiers later
in the tutorial.
We saw in the section above that there were ordinary characters, which
represented themselves, and special characters, which needed a backslash
\
to represent themselves. The same is true in a character class, but
the sets of ordinary and special characters inside a character class are
different than those outside a character class. The special characters
for a character class are -]\^$
(and the pattern delimiter, whatever
it is). ]
is special because it denotes the end of a character class.
$
is special because it denotes a scalar variable. \
is special
because it is used in escape sequences, just like above. Here is how the
special characters ]$\
are handled:
[\]c]def; # matches ]def or cdef $x = bcr; [$x]at; # matches bat, cat, or rat [\$x]at; # matches $at or xat [\\$x]at; # matches \at, bat, cat, or rat
The last two are a little tricky. In [\$x]
, the backslash protects the
dollar sign, so the character class has two members $
and x
. In
[\\$x]
, the backslash is protected, so $x
is treated as a variable
and substituted in double quote fashion.
The special character -
acts as a range operator within character
classes, so that a contiguous set of characters can be written as a
range. With ranges, the unwieldy [0123456789]
and [abc...xyz]
become
the svelte [0-9]
and [a-z]
. Some examples are
item[0-9]; # matches item0 or … or item9 [0-9bx-z]aa; # matches 0aa, …, 9aa, # baa, xaa, yaa, or zaa [0-9a-fA-F]; # matches a hexadecimal digit [0-9a-zA-Z_]; # matches a “word” character, # like those in a Perl variable name
If -
is the first or last character in a character class, it is
treated as an ordinary character; [-ab]
, [ab-]
and [a\-b]
are all
equivalent.
The special character ^
in the first position of a character class
denotes a negated character class, which matches any character but
those in the brackets. Both [...]
and [^...]
must match a character,
or the match fails. Then
[^a]at; # doesnt match aat or at, but matches # all other bat, cat, 0at, %at, etc. [^0-9]; # matches a non-numeric character [a^]at; # matches aat or ^at; here ^ is ordinary
Now, even [0-9]
can be a bother to write multiple times, so in the
interest of saving keystrokes and making regexps more readable, Perl has
several abbreviations for common character classes, as shown below.
Since the introduction of Unicode, unless the /a
modifier is in
effect, these character classes match more than just a few characters in
the ASCII range.
\d
matches a digit, not just[0-9]
but also digits from non-roman scripts\s
matches a whitespace character, the set[\ \t\r\n\f]
and others\w
matches a word character (alphanumeric or_
), not just[0-9a-zA-Z_]
but also digits and characters from non-roman scripts\D
is a negated\d
; it represents any other character than a digit, or[^\d]
\S
is a negated\s
; it represents any non-whitespace character[^\s]
\W
is a negated\w
; it represents any non-word character[^\w]
- The period
.
matches any character but"\n"
(unless the modifier/s
is in effect, as explained below). \N
, like the period, matches any character but"\n"
, but it does so regardless of whether the modifier/s
is in effect.
The /a
modifier, available starting in Perl 5.14, is used to restrict
the matches of \d
, \s
, and \w
to just those in the ASCII range. It
is useful to keep your program from being needlessly exposed to full
Unicode (and its accompanying security considerations) when all you want
is to process English-like text. (The a may be doubled, /aa
, to
provide even more restrictions, preventing case-insensitive matching of
ASCII with non-ASCII characters; otherwise a Unicode Kelvin Sign would
caselessly match a k or K.)
The \d\s\w\D\S\W
abbreviations can be used both inside and outside of
bracketed character classes. Here are some in use:
\d\d:\d\d:\d\d; # matches a hh:mm:ss time format [\d\s]; # matches any digit or whitespace character \w\W\w; # matches a word char, followed by a # non-word char, followed by a word char ..rt; # matches any two chars, followed by rt end\.; # matches end. end[.]; # same thing, matches end.
Because a period is a metacharacter, it needs to be escaped to match as
an ordinary period. Because, for example, \d
and \w
are sets of
characters, it is incorrect to think of [^\d\w]
as [\D\W]
; in fact
[^\d\w]
is the same as [^\w]
, which is the same as [\W]
. Think
DeMorgan’s laws.
In actuality, the period and \d\s\w\D\S\W
abbreviations are themselves
types of character classes, so the ones surrounded by brackets are just
one type of character class. When we need to make a distinction, we
refer to them as bracketed character classes.
An anchor useful in basic regexps is the word anchor \b
. This
matches a boundary between a word character and a non-word character
\w\W
or \W\w
:
$x = “Housecat catenates house and cat”; $x =~ cat; # matches cat in housecat $x =~ \bcat; # matches cat in catenates $x =~ cat\b; # matches cat in housecat $x =~ \bcat\b; # matches cat at end of string
Note in the last example, the end of the string is considered a word boundary.
For natural language processing (so that, for example, apostrophes are
included in words), use instead \b{wb}
“dont” =~ / .+? \b{wb} /x; # matches the whole string
You might wonder why .
matches everything but "\n"
- why not every
character? The reason is that often one is matching against lines and
would like to ignore the newline characters. For instance, while the
string "\n"
represents one line, we would like to think of it as
empty. Then
“” =~ ^$; # matches “\n” =~ ^$; # matches, $ anchors before “\n” “” =~ .; # doesnt match; it needs a char “” =~ ^.$; # doesnt match; it needs a char “\n” =~ ^.$; # doesnt match; it needs a char other than “\n” “a” =~ ^.$; # matches “a\n” =~ ^.$; # matches, $ anchors before “\n”
This behavior is convenient, because we usually want to ignore newlines
when we count and match characters in a line. Sometimes, however, we
want to keep track of newlines. We might even want ^
and $
to anchor
at the beginning and end of lines within the string, rather than just
the beginning and end of the string. Perl allows us to choose between
ignoring and paying attention to newlines by using the /s
and /m
modifiers. /s
and /m
stand for single line and multi-line and they
determine whether a string is to be treated as one continuous string, or
as a set of lines. The two modifiers affect two aspects of how the
regexp is interpreted: 1) how the .
character class is defined, and 2)
where the anchors ^
and $
are able to match. Here are the four
possible combinations:
- no modifiers: Default behavior.
.
matches any character except"\n"
.^
matches only at the beginning of the string and$
matches only at the end or before a newline at the end. - s modifier (
/s
): Treat string as a single long line..
matches any character, even"\n"
.^
matches only at the beginning of the string and$
matches only at the end or before a newline at the end. - m modifier (
/m
): Treat string as a set of multiple lines..
matches any character except"\n"
.^
and$
are able to match at the start or end of any line within the string. - both s and m modifiers (
/sm
): Treat string as a single long line, but detect multiple lines..
matches any character, even"\n"
.^
and$
, however, are able to match at the start or end of any line within the string.
Here are examples of /s
and /m
in action:
$x = “There once was a girl\nWho programmed in Perl\n”; $x =~ ^Who; # doesnt match, “Who” not at start of string $x =~ ^Who/s; # doesnt match, “Who” not at start of string $x =~ /^Who/m; # matches, “Who” at start of second line $x =~ /^Who/sm; # matches, “Who” at start of second line $x =~ /girl.Who; # doesnt match, “.” doesnt match “\n” $x =~ /girl.Who/s; # matches, “.” matches “\n” $x =~ /girl.Who/m; # doesnt match, “.” doesnt match “\n” $x =~ /girl.Who/sm; # matches, “.” matches “\n”
Most of the time, the default behavior is what is wanted, but /s
and
/m
are occasionally very useful. If /m
is being used, the start of
the string can still be matched with \A
and the end of the string can
still be matched with the anchors \Z
(matches both the end and the
newline before, like $
), and \z
(matches only the end):
$x =~ /^Who/m; # matches, “Who” at start of second line $x =~ /\AWho/m;
matches, “girl” at end of first line $x =~ /girl\Z/m; # doesnt match, “girl” is not at end of string $x =~ /Perl\Z/m; # matches, “Perl” is at newline before end $x =~ /Perl\z/m; # doesnt match, “Perl” is not at end of string
We now know how to create choices among classes of characters in a regexp. What about choices among words or character strings? Such choices are described in the next section.
Matching this or that
Sometimes we would like our regexp to be able to match different
possible words or character strings. This is accomplished by using the
alternation metacharacter |
. To match dog
or cat
, we form the
regexp dog|cat
. As before, Perl will try to match the regexp at the
earliest possible point in the string. At each character position, Perl
will first try to match the first alternative, dog
. If dog
doesn’t
match, Perl will then try the next alternative, cat
. If cat
doesn’t
match either, then the match fails and Perl moves to the next position
in the string. Some examples:
“cats and dogs” =~ cat|dog|bird; # matches “cat” “cats and dogs” =~ dog|cat|bird; # matches “cat”
Even though dog
is the first alternative in the second regexp, cat
is able to match earlier in the string.
“cats” =~ c|ca|cat|cats; # matches “c” “cats” =~ cats|cat|ca|c; # matches “cats”
Here, all the alternatives match at the first string position, so the first alternative is the one that matches. If some of the alternatives are truncations of the others, put the longest ones first to give them a chance to match.
“cab” ~ /a|b|c/ # matches "c" # /a|b|c/ =
[abc]
The last example points out that character classes are like alternations of characters. At a given character position, the first alternative that allows the regexp match to succeed will be the one that matches.
Grouping things and hierarchical matching
Alternation allows a regexp to choose among alternatives, but by itself
it is unsatisfying. The reason is that each alternative is a whole
regexp, but sometime we want alternatives for just part of a regexp. For
instance, suppose we want to search for housecats or housekeepers. The
regexp housecat|housekeeper
fits the bill, but is inefficient because
we had to type house
twice. It would be nice to have parts of the
regexp be constant, like house
, and some parts have alternatives, like
cat|keeper
.
The grouping metacharacters ()
solve this problem. Grouping allows
parts of a regexp to be treated as a single unit. Parts of a regexp are
grouped by enclosing them in parentheses. Thus we could solve the
housecat|housekeeper
by forming the regexp as house(cat|keeper)
. The
regexp house(cat|keeper)
means match house
followed by either cat
or keeper
. Some more examples are
(a|b)b; # matches ab or bb (ac|b)b; # matches acb or bb (^a|b)c; # matches ac at start of string or bc anywhere (a|[bc])d; # matches ad, bd, or cd house(cat|); # matches either housecat or house house(cat(s|)|); # matches either housecats or housecat or # house. Note groups can be nested. (19|20|)\d\d; # match years 19xx, 20xx, or the Y2K problem, xx “20” =~ (19|20|)\d\d; # matches the null alternative ()\d\d, # because 20\d\d cant match
Alternations behave the same way in groups as out of them: at a given
string position, the leftmost alternative that allows the regexp to
match is taken. So in the last example at the first string position,
"20"
matches the second alternative, but there is nothing left over to
match the next two digits \d\d
. So Perl moves on to the next
alternative, which is the null alternative and that works, since "20"
is two digits.
The process of trying one alternative, seeing if it matches, and moving on to the next alternative, while going back in the string from where the previous alternative was tried, if it doesn’t, is called backtracking. The term backtracking comes from the idea that matching a regexp is like a walk in the woods. Successfully matching a regexp is like arriving at a destination. There are many possible trailheads, one for each string position, and each one is tried in order, left to right. From each trailhead there may be many paths, some of which get you there, and some which are dead ends. When you walk along a trail and hit a dead end, you have to backtrack along the trail to an earlier point to try another trail. If you hit your destination, you stop immediately and forget about trying all the other trails. You are persistent, and only if you have tried all the trails from all the trailheads and not arrived at your destination, do you declare failure. To be concrete, here is a step-by-step analysis of what Perl does when it tries to match the regexp
“abcde” =~ (abd|abc)(df|d|de);
There are a couple of things to note about this analysis. First, the
third alternative in the second group de
also allows a match, but we
stopped before we got to it - at a given character position, leftmost
wins. Second, we were able to get a match at the first character
position of the string a
. If there were no matches at the first
position, Perl would move to the second character position b
and
attempt the match all over again. Only when all possible paths at all
possible character positions have been exhausted does Perl give up and
declare $string =~ /(abd|abc)(df|d|de)/;
to be false.
Even with all this work, regexp matching happens remarkably fast. To speed things up, Perl compiles the regexp into a compact sequence of opcodes that can often fit inside a processor cache. When the code is executed, these opcodes can then run at full throttle and search very quickly.
Extracting matches
The grouping metacharacters ()
also serve another completely different
function: they allow the extraction of the parts of a string that
matched. This is very useful to find out what matched and for text
processing in general. For each grouping, the part that matched inside
goes into the special variables $1
, $2
, etc. They can be used just
as ordinary variables:
Now, we know that in scalar context, $time =~ /(\d\d):(\d\d):(\d\d)/
returns a true or false value. In list context, however, it returns the
list of matched values ($1,$2,$3)
. So we could write the code more
compactly as
=~ (\d\d):(\d\d):(\d\d));
If the groupings in a regexp are nested, $1
gets the group with the
leftmost opening parenthesis, $2
the next opening parenthesis, etc.
Here is a regexp with nested groups:
(ab(cd|ef)((gi)|j)); 1 2 34
If this regexp matches, $1
contains a string starting with ab
, $2
is either set to cd
or ef
, $3
equals either gi
or j
, and $4
is either set to gi
, just like $3
, or it remains undefined.
For convenience, Perl sets $+
to the string held by the highest
numbered $1
, $2
,… that got assigned (and, somewhat related, $^N
to the value of the $1
, $2
,… most-recently assigned; i.e. the
$1
, $2
,… associated with the rightmost closing parenthesis used in
the match).
Backreferences
Closely associated with the matching variables $1
, $2
, … are the
backreferences \g1
, \g2
,… Backreferences are simply matching
variables that can be used inside a regexp. This is a really nice
feature; what matches later in a regexp is made to depend on what
matched earlier in the regexp. Suppose we wanted to look for doubled
words in a text, like the the. The following regexp finds all 3-letter
doubles with a space in between:
\b(\w\w\w)\s\g1\b;
The grouping assigns a value to \g1
, so that the same 3-letter
sequence is used for both parts.
A similar task is to find words consisting of two identical parts:
% simple_grep ^(\w\w\w\w|\w\w\w|\w\w|\w)\g1$ /usr/dict/words beriberi booboo coco mama murmur papa
The regexp has a single grouping which considers 4-letter combinations,
then 3-letter combinations, etc., and uses \g1
to look for a repeat.
Although $1
and \g1
represent the same thing, care should be taken
to use matched variables $1
, $2
,… only outside a regexp and
backreferences \g1
, \g2
,… only inside a regexp; not doing so may
lead to surprising and unsatisfactory results.
Relative backreferences
Counting the opening parentheses to get the correct number for a
backreference is error-prone as soon as there is more than one capturing
group. A more convenient technique became available with Perl 5.10:
relative backreferences. To refer to the immediately preceding capture
group one now may write \g-1
or \g{-1}
, the next but last is
available via \g-2
or \g{-2}
, and so on.
Another good reason in addition to readability and maintainability for using relative backreferences is illustrated by the following example, where a simple pattern for matching peculiar strings is used:
$a99a = ([a-z])(\d)\g2\g1; # matches a11a, g22g, x33x, etc.
Now that we have this pattern stored as a handy string, we might feel tempted to use it as a part of some other pattern:
$line = “code=e99e”; if ($line =~ ^(\w+)=\(a99a\)){ # unexpected behavior! print “$1 is valid\n”; } else { print “bad line: $line\n”; }
But this doesn’t match, at least not the way one might expect. Only
after inserting the interpolated $a99a
and looking at the resulting
full text of the regexp is it obvious that the backreferences have
backfired. The subexpression (\w+)
has snatched number 1 and demoted
the groups in $a99a
by one rank. This can be avoided by using relative
backreferences:
$a99a = ([a-z])(\d)\g{-1}\g{-2}; # safe for being interpolated
Named backreferences
Perl 5.10 also introduced named capture groups and named backreferences.
To attach a name to a capturing group, you write either (?<name>...)
or (?name...)
. The backreference may then be written as \g{name}
. It
is permissible to attach the same name to more than one group, but then
only the leftmost one of the eponymous set can be referenced. Outside of
the pattern a named capture group is accessible through the %+
hash.
Assuming that we have to match calendar dates which may be given in one
of the three formats yyyy-mm-dd, mm/dd/yyyy or dd.mm.yyyy, we can write
three suitable patterns where we use d
, m
and y
respectively as
the names of the groups capturing the pertaining components of a date.
The matching operation combines the three patterns as alternatives:
$fmt1 = (?<y>\d\d\d\d)-(?<m>\d\d)-(?<d>\d\d); $fmt2 = (?<m>\d\d)/(?<d>\d\d)/(?<y>\d\d\d\d); $fmt3 = (?<d>\d\d)\.(?<m>\d\d)\.(?<y>\d\d\d\d); for my $d (qw(2006-10-21 15.01.2007 10/31/2005)) { if ( $d =~ m{$fmt1|$fmt2|$fmt3} ){ print “day=$+{d} month=$+{m} year=$+{y}\n”; } }
If any of the alternatives matches, the hash %+
is bound to contain
the three key-value pairs.
Alternative capture group numbering
Yet another capturing group numbering technique (also as from Perl 5.10) deals with the problem of referring to groups within a set of alternatives. Consider a pattern for matching a time of the day, civil or military style:
if ( $time =~ (\d\d|\d):(\d\d)|(\d\d)(\d\d) ){ # process hour and minute }
Processing the results requires an additional if statement to determine
whether $1
and $2
or $3
and $4
contain the goodies. It would be
easier if we could use group numbers 1 and 2 in second alternative as
well, and this is exactly what the parenthesized construct (?|...)
,
set around an alternative achieves. Here is an extended version of the
previous pattern:
if($time =~ (?|(\d\d|\d):(\d\d)|(\d\d)(\d\d))\s+([A-Z][A-Z][A-Z])){ print “hour=$1 minute=$2 zone=$3\n”; }
Within the alternative numbering group, group numbers start at the same position for each alternative. After the group, numbering continues with one higher than the maximum reached across all the alternatives.
Position information
In addition to what was matched, Perl also provides the positions of
what was matched as contents of the @-
and @+
arrays. $-[0]
is the
position of the start of the entire match and $+[0]
is the position of
the end. Similarly, $-[n]
is the position of the start of the $n
match and $+[n]
is the position of the end. If $n
is undefined, so
are $-[n]
and $+[n]
. Then this code
$x = “Mmm…donut, thought Homer”; $x =~ ^(Mmm|Yech)\.\.\.(donut|peas); # matches foreach $exp (1..$#-) { no strict refs; print “Match $exp: $$exp at position ($-[$exp],$+[$exp])\n”; }
prints
Match 1: Mmm at position (0,3) Match 2: donut at position (6,11)
Even if there are no groupings in a regexp, it is still possible to find
out what exactly matched in a string. If you use them, Perl will set
$`
to the part of the string before the match, will set $&
to the
part of the string that matched, and will set $
to the part of the
string after the match. An example:
$x = “the cat caught the mouse”; $x =~ cat; # $` = the , $& = cat, $ = caught the mouse $x =~ the; # $` = , $& = the, $ = cat caught the mouse
In the second match, $`
equals because the regexp matched at the first
character position in the string and stopped; it never saw the second
the.
If your code is to run on Perl versions earlier than 5.20, it is
worthwhile to note that using $`
and $
slows down regexp matching
quite a bit, while $&
slows it down to a lesser extent, because if
they are used in one regexp in a program, they are generated for all
regexps in the program. So if raw performance is a goal of your
application, they should be avoided. If you need to extract the
corresponding substrings, use @-
and @+
instead:
$` is the same as substr( $x, 0, $-[0] ) $& is the same as substr( $x, $-[0], $+[0]-$-[0] ) $ is the same as substr( $x, $+[0] )
As of Perl 5.10, the ${^PREMATCH}
, ${^MATCH}
and ${^POSTMATCH}
variables may be used. These are only set if the /p
modifier is
present. Consequently they do not penalize the rest of the program. In
Perl 5.20, ${^PREMATCH}
, ${^MATCH}
and ${^POSTMATCH}
are available
whether the /p
has been used or not (the modifier is ignored), and
$`
, $
and $&
do not cause any speed difference.
Non-capturing groupings
A group that is required to bundle a set of alternatives may or may not
be useful as a capturing group. If it isn’t, it just creates a
superfluous addition to the set of available capture group values,
inside as well as outside the regexp. Non-capturing groupings, denoted
by (?:regexp)
, still allow the regexp to be treated as a single unit,
but don’t establish a capturing group at the same time. Both capturing
and non-capturing groupings are allowed to co-exist in the same regexp.
Because there is no extraction, non-capturing groupings are faster than
capturing groupings. Non-capturing groupings are also handy for choosing
exactly which parts of a regexp are to be extracted to matching
variables:
(\d+(\.\d)?|\.\d+)([eE][+-]?\d+)?)/; # match a number faster , only $1 is set ([+-]?\ (?:\d+(?:\.\d)?|\.\d+)(?:[eE][+-]?\d+)?); # match a number, get $1 = whole number, $2 = exponent ([+-]?\ (?:\d+(?:\.\d)?|\.\d+)(?:[eE]([+-]?\d+))?);
Non-capturing groupings are also useful for removing nuisance elements gathered from a split operation where parentheses are required for some reason:
$x = 12aba34ba5; @num = split (a|b)+, $x; # @num = (12,a,34,a,5) @num = split (?:a|b)+, $x; # @num = (12,34,5)
In Perl 5.22 and later, all groups within a regexp can be set to
non-capturing by using the new /n
flag:
“hello” =~ /(hi|hello)/n; # $1 is not set!
See n in perlre for more information.
Matching repetitions
The examples in the previous section display an annoying weakness. We
were only matching 3-letter words, or chunks of words of 4 letters or
less. We’d like to be able to match words or, more generally, strings of
any length, without writing out tedious alternatives like
\w\w\w\w|\w\w\w|\w\w|\w
.
This is exactly the problem the quantifier metacharacters ?
, *
,
+
, and {}
were created for. They allow us to delimit the number of
repeats for a portion of a regexp we consider to be a match. Quantifiers
are put immediately after the character, character class, or grouping
that we want to specify. They have the following meanings:
a?
means: matcha
1 or 0 timesa*
means: matcha
0 or more times, i.e., any number of timesa+
means: matcha
1 or more times, i.e., at least oncea{n,m}
means: match at leastn
times, but not more thanm
times.a{n,}
means: match at leastn
or more timesa{,n}
means: match at mostn
times, or fewera{n}
means: match exactlyn
times
If you like, you can add blanks (tab or space characters) within the braces, but adjacent to them, and/or next to the comma (if any).
Here are some examples:
[a-z]+\s+\d*; # match a lowercase word, at least one space, and # any number of digits (\w+)\s+\g1; # match doubled words of arbitrary length y(es)?/i; # matches y, Y, or a case-insensitive yes \(year =~ /^\d{2,4}\); # make sure year is at least 2 but not more # than 4 digits $year =~ ^\d{ 2, 4 }$; # Same; for those who like wide open # spaces. $year =~ ^\d{2, 4}$; # Same. $year =~ ^\d{4}\(|^\d{2}\); # better match; throw out 3-digit dates $year =~ ^\d{2}(\d{2})?$; # same thing written differently. # However, this captures the last two # digits in \(1 and the other does not. % simple_grep ^(\w+)\g1\) /usr/dict/words # isnt this easier? beriberi booboo coco mama murmur papa
For all of these quantifiers, Perl will try to match as much of the
string as possible, while still allowing the regexp to succeed. Thus
with /a?.../
, Perl will first try to match the regexp with the a
present; if that fails, Perl will try to match the regexp without the
a
present. For the quantifier *
, we get the following:
$x = “the cat in the hat”; $x =~ ^(.*)(cat)(.*)$; # matches, # $1 = the # $2 = cat # $3 = in the hat
Which is what we might expect, the match finds the only cat
in the
string and locks onto it. Consider, however, this regexp:
$x =~ ^(.*)(at)(.*)$; # matches, # $1 = the cat in the h # $2 = at # $3 = (0 characters match)
One might initially guess that Perl would find the at
in cat
and
stop there, but that wouldn’t give the longest possible string to the
first quantifier .*
. Instead, the first quantifier .*
grabs as much
of the string as possible while still having the regexp match. In this
example, that means having the at
sequence with the final at
in the
string. The other important principle illustrated here is that, when
there are two or more elements in a regexp, the leftmost quantifier,
if there is one, gets to grab as much of the string as possible, leaving
the rest of the regexp to fight over scraps. Thus in our example, the
first quantifier .*
grabs most of the string, while the second
quantifier .*
gets the empty string. Quantifiers that grab as much of
the string as possible are called maximal match or greedy
quantifiers.
When a regexp can match a string in several different ways, we can use the principles above to predict which way the regexp will match:
- Principle 0: Taken as a whole, any regexp will be matched at the earliest possible position in the string.
- Principle 1: In an alternation
a|b|c...
, the leftmost alternative that allows a match for the whole regexp will be the one used. - Principle 2: The maximal matching quantifiers
?
,*
,+
and{n,m}
will in general match as much of the string as possible while still allowing the whole regexp to match. - Principle 3: If there are two or more elements in a regexp, the leftmost greedy quantifier, if any, will match as much of the string as possible while still allowing the whole regexp to match. The next leftmost greedy quantifier, if any, will try to match as much of the string remaining available to it as possible, while still allowing the whole regexp to match. And so on, until all the regexp elements are satisfied.
As we have seen above, Principle 0 overrides the others. The regexp will be matched as early as possible, with the other principles determining how the regexp matches at that earliest character position.
Here is an example of these principles in action:
$x = “The programming republic of Perl”; $x =~ ^(.+)(e|r)(.*)$; # matches, # $1 = The programming republic of Pe # $2 = r # $3 = l
This regexp matches at the earliest string position, T
. One might
think that e
, being leftmost in the alternation, would be matched, but
r
produces the longest string in the first quantifier.
$x =~ (m{1,2})(.*)$; # matches, # $1 = mm # $2 = ing republic of Perl
Here, The earliest possible match is at the first m
in programming
.
m{1,2}
is the first quantifier, so it gets to match a maximal mm
.
$x =~ .*(m{1,2})(.*)$; # matches, # $1 = m # $2 = ing republic of Perl
Here, the regexp matches at the start of the string. The first
quantifier .*
grabs as much as possible, leaving just a single m
for
the second quantifier m{1,2}
.
$x =~ (.?)(m{1,2})(.*)$; # matches, # $1 = a # $2 = mm # $3 = ing republic of Perl
Here, .?
eats its maximal one character at the earliest possible
position in the string, a
in programming
, leaving m{1,2}
the
opportunity to match both m
’s. Finally,
“aXXXb” =~ (X*); # matches with $1 =
because it can match zero copies of X
at the beginning of the string.
If you definitely want to match at least one X
, use X+
, not X*
.
Sometimes greed is not good. At times, we would like quantifiers to
match a minimal piece of string, rather than a maximal piece. For this
purpose, Larry Wall created the minimal match or non-greedy
quantifiers ??
, *?
, +?
, and {}?
. These are the usual quantifiers
with a ?
appended to them. They have the following meanings:
a??
means: matcha
0 or 1 times. Try 0 first, then 1.a*?
means: matcha
0 or more times, i.e., any number of times, but as few times as possiblea+?
means: matcha
1 or more times, i.e., at least once, but as few times as possiblea{n,m}?
means: match at leastn
times, not more thanm
times, as few times as possiblea{n,}?
means: match at leastn
times, but as few times as possiblea{,n}?
means: match at mostn
times, but as few times as possiblea{n}?
means: match exactlyn
times. Because we match exactlyn
times,a{n}?
is equivalent toa{n}
and is just there for notational consistency.
Let’s look at the example above, but with minimal quantifiers:
$x = “The programming republic of Perl”; $x =~ ^(.+?)(e|r)(.*)$; # matches, # $1 = Th # $2 = e # $3 = programming republic of Perl
The minimal string that will allow both the start of the string ^
and
the alternation to match is Th
, with the alternation e|r
matching
e
. The second quantifier .*
is free to gobble up the rest of the
string.
$x =~ (m{1,2}?)(.*?)$; # matches, # $1 = m # $2 = ming republic of Perl
The first string position that this regexp can match is at the first m
in programming
. At this position, the minimal m{1,2}?
matches just
one m
. Although the second quantifier .*?
would prefer to match no
characters, it is constrained by the end-of-string anchor $
to match
the rest of the string.
$x =~ (.*?)(m{1,2}?)(.*)$; # matches, # $1 = The progra # $2 = m # $3 = ming republic of Perl
In this regexp, you might expect the first minimal quantifier .*?
to
match the empty string, because it is not constrained by a ^
anchor to
match the beginning of the word. Principle 0 applies here, however.
Because it is possible for the whole regexp to match at the start of the
string, it will match at the start of the string. Thus the first
quantifier has to match everything up to the first m
. The second
minimal quantifier matches just one m
and the third quantifier matches
the rest of the string.
$x =~ (.??)(m{1,2})(.*)$; # matches, # $1 = a # $2 = mm # $3 = ing republic of Perl
Just as in the previous regexp, the first quantifier .??
can match
earliest at position a
, so it does. The second quantifier is greedy,
so it matches mm
, and the third matches the rest of the string.
We can modify principle 3 above to take into account non-greedy quantifiers:
- Principle 3: If there are two or more elements in a regexp, the leftmost greedy (non-greedy) quantifier, if any, will match as much (little) of the string as possible while still allowing the whole regexp to match. The next leftmost greedy (non-greedy) quantifier, if any, will try to match as much (little) of the string remaining available to it as possible, while still allowing the whole regexp to match. And so on, until all the regexp elements are satisfied.
Just like alternation, quantifiers are also susceptible to backtracking. Here is a step-by-step analysis of the example
$x = “the cat in the hat”; $x =~ ^(.*)(at)(.*)$; # matches, # $1 = the cat in the h # $2 = at # $3 = (0 matches)
Most of the time, all this moving forward and backtracking happens quickly and searching is fast. There are some pathological regexps, however, whose execution time exponentially grows with the size of the string. A typical structure that blows up in your face is of the form
(a|b+)*;
The problem is the nested indeterminate quantifiers. There are many
different ways of partitioning a string of length n between the +
and
*
: one repetition with b+
of length n, two repetitions with the
first b+
length k and the second with length n-k, m repetitions whose
bits add up to length n, etc. In fact there are an exponential number
of ways to partition a string as a function of its length. A regexp may
get lucky and match early in the process, but if there is no match, Perl
will try every possibility before giving up. So be careful with nested
*
’s, {n,m}
’s, and +
’s. The book Mastering Regular Expressions by
Jeffrey Friedl gives a wonderful discussion of this and other efficiency
issues.
Possessive quantifiers
Backtracking during the relentless search for a match may be a waste of time, particularly when the match is bound to fail. Consider the simple pattern
^\w+\s+\w+$; # a word, spaces, a word
Whenever this is applied to a string which doesn’t quite meet the
pattern’s expectations such as "abc "
or "abc def "
, the regexp
engine will backtrack, approximately once for each character in the
string. But we know that there is no way around taking all of the
initial word characters to match the first repetition, that all spaces
must be eaten by the middle part, and the same goes for the second word.
With the introduction of the possessive quantifiers in Perl 5.10, we
have a way of instructing the regexp engine not to backtrack, with the
usual quantifiers with a +
appended to them. This makes them greedy as
well as stingy; once they succeed they won’t give anything back to
permit another solution. They have the following meanings:
a{n,m}+
means: match at leastn
times, not more thanm
times, as many times as possible, and don’t give anything up.a?+
is short fora{0,1}+
a{n,}+
means: match at leastn
times, but as many times as possible, and don’t give anything up.a++
is short fora{1,}+
.a{,n}+
means: match as many times as possible up to at mostn
times, and don’t give anything up.a*+
is short fora{0,}+
.a{n}+
means: match exactlyn
times. It is just there for notational consistency.
These possessive quantifiers represent a special case of a more general concept, the independent subexpression, see below.
As an example where a possessive quantifier is suitable we consider matching a quoted string, as it appears in several programming languages. The backslash is used as an escape character that indicates that the next character is to be taken literally, as another character for the string. Therefore, after the opening quote, we expect a (possibly empty) sequence of alternatives: either some character except an unescaped quote or backslash or an escaped character.
“(?:[^”\\]++|\\.)*+“;
Building a regexp
At this point, we have all the basic regexp concepts covered, so let’s give a more involved example of a regular expression. We will build a regexp that matches numbers.
The first task in building a regexp is to decide what we want to match and what we want to exclude. In our case, we want to match both integers and floating point numbers and we want to reject any string that isn’t a number.
The next task is to break the problem down into smaller problems that are easily converted into a regexp.
The simplest case is integers. These consist of a sequence of digits,
with an optional sign in front. The digits we can represent with \d+
and the sign can be matched with [+-]
. Thus the integer regexp is
[+-]?\d+; # matches integers
A floating point number potentially has a sign, an integral part, a
decimal point, a fractional part, and an exponent. One or more of these
parts is optional, so we need to check out the different possibilities.
Floating point numbers which are in proper form include 123., 0.345,
.34, -1e6, and 25.4E-72. As with integers, the sign out front is
completely optional and can be matched by [+-]?
. We can see that if
there is no exponent, floating point numbers must have a decimal point,
otherwise they are integers. We might be tempted to model these with
\d*\.\d*
, but this would also match just a single decimal point, which
is not a number. So the three cases of floating point number without
exponent are
[+-]?\d+\.; # 1., 321., etc. [+-]?\.\d+; # .1, .234, etc. [+-]?\d+\.\d+; # 1.0, 30.56, etc.
These can be combined into a single regexp with a three-way alternation:
[+-]?(\d+\.\d+|\d+\.|\.\d+); # floating point, no exponent
In this alternation, it is important to put \d+\.\d+
before \d+\.
.
If \d+\.
were first, the regexp would happily match that and ignore
the fractional part of the number.
Now consider floating point numbers with exponents. The key observation here is that both integers and numbers with decimal points are allowed in front of an exponent. Then exponents, like the overall sign, are independent of whether we are matching numbers with or without decimal points, and can be decoupled from the mantissa. The overall form of the regexp now becomes clear:
^(optional sign)(integer | f.p. mantissa)(optional exponent)$;
The exponent is an e
or E
, followed by an integer. So the exponent
regexp is
[eE][+-]?\d+; # exponent
Putting all the parts together, we get a regexp that matches numbers:
^[+-]?(\d+\.\d+|\d+\.|\.\d+|\d+)([eE][+-]?\d+)?$; # Ta da!
Long regexps like this may impress your friends, but can be hard to
decipher. In complex situations like this, the /x
modifier for a match
is invaluable. It allows one to put nearly arbitrary whitespace and
comments into a regexp without affecting their meaning. Using it, we can
rewrite our extended regexp in the more pleasing form
/^ [+-]? # first, match an optional sign ( # then match integers or f.p. mantissas: \d+\.\d+ # mantissa of the form a.b |\d+\. # mantissa of the form a. |\.\d+ # mantissa of the form .b |\d+ # integer of the form a ) ( [eE] [+-]? \d+ )? # finally, optionally match an exponent $/x;
If whitespace is mostly irrelevant, how does one include space
characters in an extended regexp? The answer is to backslash it \ = or
put it in a character class =[ ]
. The same thing goes for pound signs:
use \#
or [#]
. For instance, Perl allows a space between the sign
and the mantissa or integer, and we could add this to our regexp as
follows:
/^ [+-]?\ * # first, match an optional sign and space ( # then match integers or f.p. mantissas: \d+\.\d+ # mantissa of the form a.b |\d+\. # mantissa of the form a. |\.\d+ # mantissa of the form .b |\d+ # integer of the form a ) ( [eE] [+-]? \d+ )? # finally, optionally match an exponent $/x;
In this form, it is easier to see a way to simplify the alternation.
Alternatives 1, 2, and 4 all start with \d+
, so it could be factored
out:
/^ [+-]?\ * # first, match an optional sign ( # then match integers or f.p. mantissas: \d+ # start out with a … ( \.\d* # mantissa of the form a.b or a. )? # ? takes care of integers of the form a |\.\d+ # mantissa of the form .b ) ( [eE] [+-]? \d+ )? # finally, optionally match an exponent $/x;
Starting in Perl v5.26, specifying /xx
changes the square-bracketed
portions of a pattern to ignore tabs and space characters unless they
are escaped by preceding them with a backslash. So, we could write
/^ [ + - ]?\ * # first, match an optional sign ( # then match integers or f.p. mantissas: \d+ # start out with a … ( \.\d* # mantissa of the form a.b or a. )? # ? takes care of integers of the form a |\.\d+ # mantissa of the form .b ) ( [ e E ] [ + - ]? \d+ )? # finally, optionally match an exponent $/xx;
This doesn’t really improve the legibility of this example, but it’s available in case you want it. Squashing the pattern down to the compact form, we have
^[+-]?\ (\d+(\.\d)?|\.\d+)([eE][+-]?\d+)?$;
This is our final regexp. To recap, we built a regexp by
- specifying the task in detail,
- breaking down the problem into smaller parts,
- translating the small parts into regexps,
- combining the regexps,
- and optimizing the final combined regexp.
These are also the typical steps involved in writing a computer program. This makes perfect sense, because regular expressions are essentially programs written in a little computer language that specifies patterns.
Using regular expressions in Perl
The last topic of Part 1 briefly covers how regexps are used in Perl programs. Where do they fit into Perl syntax?
We have already introduced the matching operator in its default
/regexp/
and arbitrary delimiter m!regexp!
forms. We have used the
binding operator =~
and its negation !~
to test for string matches.
Associated with the matching operator, we have discussed the single line
/s
, multi-line /m
, case-insensitive /i
and extended /x
modifiers. There are a few more things you might want to know about
matching operators.
Prohibiting substitution
If you change $pattern
after the first substitution happens, Perl will
ignore it. If you don’t want any substitutions at all, use the special
delimiter m
:
@pattern = (Seuss); while (<>) { print if m@pattern; # matches literal @pattern, not Seuss }
Similar to strings, m
acts like apostrophes on a regexp; all other m
delimiters act like quotes. If the regexp evaluates to the empty string,
the regexp in the last successful match is used instead. So we have
“dog” =~ d; # d matches “dogbert” =~ //; # this matches the d regexp used before
Global matching
The final two modifiers we will discuss here, /g
and /c
, concern
multiple matches. The modifier /g
stands for global matching and
allows the matching operator to match within a string as many times as
possible. In scalar context, successive invocations against a string
will have /g
jump from match to match, keeping track of position in
the string as it goes along. You can get or set the position with the
pos()
function.
The use of /g
is shown in the following example. Suppose we have a
string that consists of words separated by spaces. If we know how many
words there are in advance, we could extract the words using groupings:
$x = “cat dog house”; # 3 words $x =~ ^\s*(\w+)\s+(\w+)\s+(\w+)\s*$; # matches, # $1 = cat # $2 = dog # $3 = house
But what if we had an indeterminate number of words? This is the sort of
task /g
was made for. To extract all words, form the simple regexp
(\w+)
and loop over all matches with /(\w+)/g
:
while ($x =~ /(\w+)/g) { print “Word is $1, ends at position ”, pos $x, “\n”; }
prints
Word is cat, ends at position 3 Word is dog, ends at position 7 Word is house, ends at position 13
A failed match or changing the target string resets the position. If you
don’t want the position reset after failure to match, add the /c
, as
in /regexp/gc
. The current position in the string is associated with
the string, not the regexp. This means that different strings have
different positions and their respective positions can be set or read
independently.
In list context, /g
returns a list of matched groupings, or if there
are no groupings, a list of matches to the whole regexp. So if we wanted
just the words, we could use
@words = ($x =~ /(\w+)/g); # matches, # $words[0] = cat # $words[1] = dog # $words[2] = house
Closely associated with the /g
modifier is the \G
anchor. The \G
anchor matches at the point where the previous /g
match left off. \G
allows us to easily do context-sensitive matching:
$metric = 1; # use metric units … $x = <FILE>; # read in measurement $x =~ /^([+-]?\d+)\s*/g; # get magnitude $weight = $1; if ($metric) { # error checking print “Units error!” unless $x =~ /\Gkg\./g; } else { print “Units error!” unless $x =~ /\Glbs\./g; } $x =~ /\G\s+(widget|sprocket)/g; # continue processing
The combination of /g
and \G
allows us to process the string a bit
at a time and use arbitrary Perl logic to decide what to do next.
Currently, the \G
anchor is only fully supported when used to anchor
to the start of the pattern.
\G
is also invaluable in processing fixed-length records with regexps.
Suppose we have a snippet of coding region DNA, encoded as base pair
letters ATCGTTGAAT...
and we want to find all the stop codons TGA
.
In a coding region, codons are 3-letter sequences, so we can think of
the DNA snippet as a sequence of 3-letter records. The naive regexp
“ATCGTTGAATGCAAATGACATGAC”; $dna =~ TGA;
doesn’t work; it may match a TGA
, but there is no guarantee that the
match is aligned with codon boundaries, e.g., the substring GTT GAA
gives a match. A better solution is
while ($dna =~ /(\w\w\w)*?TGA/g) { # note the minimal *? print “Got a TGA stop codon at position ”, pos $dna, “\n”; }
which prints
Got a TGA stop codon at position 18 Got a TGA stop codon at position 23
Position 18 is good, but position 23 is bogus. What happened?
The answer is that our regexp works well until we get past the last real
match. Then the regexp will fail to match a synchronized TGA
and start
stepping ahead one character position at a time, not what we want. The
solution is to use \G
to anchor the match to the codon alignment:
while ($dna =~ /\G(\w\w\w)*?TGA/g) { print “Got a TGA stop codon at position ”, pos $dna, “\n”; }
This prints
Got a TGA stop codon at position 18
which is the correct answer. This example illustrates that it is important not only to match what is desired, but to reject what is not desired.
(There are other regexp modifiers that are available, such as /o
, but
their specialized uses are beyond the scope of this introduction. )
Search and replace
Regular expressions also play a big role in search and replace
operations in Perl. Search and replace is accomplished with the s///
operator. The general form is s/regexp/replacement/modifiers
, with
everything we know about regexps and modifiers applying in this case as
well. The replacement is a Perl double-quoted string that replaces in
the string whatever is matched with the regexp
. The operator =~
is
also used here to associate a string with s///
. If matching against
$_
, the $_ =~
can be dropped. If there is a match, s///
returns
the number of substitutions made; otherwise it returns false. Here are a
few examples:
$x = “Time to feed the cat!”; $x =~ s/cat/hacker/; # $x contains “Time to feed the hacker!” if ($x =~ s/^(Time.*hacker)!$/$1 now!/) { $more_insistent = 1; } $y = “quoted words”; $y =~ s/^(.*)$/$1/; # strip single quotes, # $y contains “quoted words”
In the last example, the whole string was matched, but only the part
inside the single quotes was grouped. With the s///
operator, the
matched variables $1
, $2
, etc. are immediately available for use
in the replacement expression, so we use $1
to replace the quoted
string with just what was quoted. With the global modifier, s///g
will
search and replace all occurrences of the regexp in the string:
$x = “I batted 4 for 4”; $x =~ s/4/four/; # doesnt do it all: # $x contains “I batted four for 4” $x = “I batted 4 for 4”; $x =~ s/4/four/g; # does it all: # $x contains “I batted four for four”
If you prefer regex over regexp in this tutorial, you could use the following program to replace it:
% cat > simple_replace #!/usr/bin/perl $regexp = shift; $replacement = shift; while (<>) { s/$regexp/$replacement/g; print; } ^D % simple_replace regexp regex perlretut.pod
In simple_replace
we used the s///g
modifier to replace all
occurrences of the regexp on each line. (Even though the regular
expression appears in a loop, Perl is smart enough to compile it only
once.) As with simple_grep
, both the print
and the
s/$regexp/$replacement/g
use $_
implicitly.
If you don’t want s///
to change your original variable you can use
the non-destructive substitute modifier, s///r
. This changes the
behavior so that s///r
returns the final substituted string (instead
of the number of substitutions):
$x = “I like dogs.”; $y = $x =~ s/dogs/cats/r; print “$x $y\n”;
That example will print I like dogs. I like cats. Notice the original
$x
variable has not been affected. The overall result of the
substitution is instead stored in $y
. If the substitution doesn’t
affect anything then the original string is returned:
$x = “I like dogs.”; $y = $x =~ s/elephants/cougars/r; print “$x $y\n”;
One other interesting thing that the s///r
flag allows is chaining
substitutions:
$x = “Cats are great.”; print $x =~ s/Cats/Dogs/r =~ s/Dogs/Frogs/r =~ s/Frogs/Hedgehogs/r, “\n”; # prints “Hedgehogs are great.”
A modifier available specifically to search and replace is the s///e
evaluation modifier. s///e
treats the replacement text as Perl code,
rather than a double-quoted string. The value that the code returns is
substituted for the matched substring. s///e
is useful if you need to
do a bit of computation in the process of replacing text. This example
counts character frequencies in a line:
$x = “Bill the cat”; $x =~ s/(.)/$chars{$1}++;$1/eg; # final $1 replaces char with itself print “frequency of $_ is $chars{$_}\n” foreach (sort {$chars{$b} <=> $chars{$a}} keys %chars);
This prints
frequency of is 2 frequency of t is 2 frequency of l is 2 frequency of B is 1 frequency of c is 1 frequency of e is 1 frequency of h is 1 frequency of i is 1 frequency of a is 1
As with the match m//
operator, s///
can use other delimiters, such
as s!!!
and s{}{}
, and even s{}//
. If single quotes are used s
,
then the regexp and replacement are treated as single-quoted strings and
there are no variable substitutions. s///
in list context returns the
same thing as in scalar context, i.e., the number of matches.
The split function
The split()
function is another place where a regexp is used.
split /regexp/, string, limit
separates the string
operand into a
list of substrings and returns that list. The regexp must be designed to
match whatever constitutes the separators for the desired substrings.
The limit
, if present, constrains splitting into no more than limit
number of strings. For example, to split a string into words, use
$x = “Calvin and Hobbes”; @words = split \s+, $x; # $word[0] = Calvin
If the empty regexp //
is used, the regexp always matches and the
string is split into individual characters. If the regexp has groupings,
then the resulting list contains the matched substrings from the
groupings as well. For instance,
$x = “usr/bin/perl“; @dirs = split m!!, $x; # $dirs[0] = # $dirs[1] = usr # $dirs[2] = bin # $dirs[3] = perl @parts = split m!(/)!, $x; # $parts[0] = # $parts[1] = / # $parts[2] = usr # $parts[3] = / # $parts[4] = bin # $parts[5] = / # $parts[6] = perl
Since the first character of $x
matched the regexp, split
prepended
an empty initial element to the list.
If you have read this far, congratulations! You now have all the basic tools needed to use regular expressions to solve a wide range of text processing problems. If this is your first time through the tutorial, why not stop here and play around with regexps a while…. Part 2 concerns the more esoteric aspects of regular expressions and those concepts certainly aren’t needed right at the start.
Part 2: Power tools
OK, you know the basics of regexps and you want to know more. If matching regular expressions is analogous to a walk in the woods, then the tools discussed in Part 1 are analogous to topo maps and a compass, basic tools we use all the time. Most of the tools in part 2 are analogous to flare guns and satellite phones. They aren’t used too often on a hike, but when we are stuck, they can be invaluable.
What follows are the more advanced, less used, or sometimes esoteric capabilities of Perl regexps. In Part 2, we will assume you are comfortable with the basics and concentrate on the advanced features.
More on characters, strings, and character classes
There are a number of escape sequences and character classes that we haven’t covered yet.
There are several escape sequences that convert characters or strings
between upper and lower case, and they are also available within
patterns. \l
and \u
convert the next character to lower or upper
case, respectively:
$x = “perl”; $string =~ \u$x; # matches Perl in $string $x = “M(rs?|s)\\.”; # note the double backslash $string =~ \l$x; # matches mr., mrs., and ms.,
A \L
or \U
indicates a lasting conversion of case, until terminated
by \E
or thrown over by another \U
or \L
:
$x = “This word is in lower case:\L SHOUT\E”; $x =~ shout; # matches $x = “I STILL KEYPUNCH CARDS FOR MY 360”; $x =~ \Ukeypunch; # matches punch card string
If there is no \E
, case is converted until the end of the string. The
regexps \L\u$word
or \u\L$word
convert the first character of
$word
to uppercase and the rest of the characters to lowercase.
Control characters can be escaped with \c
, so that a control-Z
character would be matched with \cZ
. The escape sequence \Q
…=\E=
quotes, or protects most non-alphabetic characters. For instance,
$x = “\QThat !^*&%~& cat!”; $x =~ \Q!^*&%~&\E; # check for rough language
It does not protect $
or @
, so that variables can still be
substituted.
\Q
, \L
, \l
, \U
, \u
and \E
are actually part of
double-quotish syntax, and not part of regexp syntax proper. They will
work if they appear in a regular expression embedded directly in a
program, but not when contained in a string that is interpolated in a
pattern.
Perl regexps can handle more than just the standard ASCII character set. Perl supports Unicode, a standard for representing the alphabets from virtually all of the world’s written languages, and a host of symbols. Perl’s text strings are Unicode strings, so they can contain characters with a value (codepoint or character number) higher than 255.
What does this mean for regexps? Well, regexp users don’t need to know
much about Perl’s internal representation of strings. But they do need
to know 1) how to represent Unicode characters in a regexp and 2) that a
matching operation will treat the string to be searched as a sequence of
characters, not bytes. The answer to 1) is that Unicode characters
greater than chr(255)
are represented using the \x{hex}
notation,
because \x=/XY/ (without curly braces and /XY/ are two hex digits)
doesn't go further than 255. (Starting in Perl 5.14, if you're an octal
fan, you can also use =\o{oct}
.)
\x{263a}; # match a Unicode smiley face :) \x{ 263a }; # Same
NOTE: In Perl 5.6.0 it used to be that one needed to say use
utf8 to
use any Unicode features. This is no longer the case: for almost all
Unicode processing, the explicit utf8
pragma is not needed. (The only
case where it matters is if your Perl script is in Unicode and encoded
in UTF-8, then an explicit use utf8
is needed.)
Figuring out the hexadecimal sequence of a Unicode character you want or
deciphering someone else’s hexadecimal Unicode regexp is about as much
fun as programming in machine code. So another way to specify Unicode
characters is to use the named character escape sequence
\N{=/=name=/
}=. name is a name for the Unicode character, as
specified in the Unicode standard. For instance, if we wanted to
represent or match the astrological sign for the planet Mercury, we
could use
$x = “abc\N{MERCURY}def”; $x =~ \N{MERCURY}; # matches $x =~ \N{ MERCURY }; # Also matches
One can also use short names:
print “\N{GREEK SMALL LETTER SIGMA} is called sigma.\n”; print “\N{greek:Sigma} is an upper-case sigma.\n”;
You can also restrict names to a certain alphabet by specifying the charnames pragma:
use charnames qw(greek); print “\N{sigma} is Greek sigma\n”;
An index of character names is available on-line from the Unicode Consortium, https://www.unicode.org/charts/charindex.html; explanatory material with links to other resources at https://www.unicode.org/standard/where.
Starting in Perl v5.32, an alternative to \N{...}
for full names is
available, and that is to say
\p{Name=greek small letter sigma}
The casing of the character name is irrelevant when used in \p{}
, as
are most spaces, underscores and hyphens. (A few outlier characters
cause problems with ignoring all of them always. The details (which you
can look up when you get more proficient, and if ever needed) are in
https://www.unicode.org/reports/tr44/tr44-24.html#UAX44-LM2).
The answer to requirement 2) is that a regexp (mostly) uses Unicode
characters. The mostly is for messy backward compatibility reasons, but
starting in Perl 5.14, any regexp compiled in the scope of a
use feature unicode_strings
(which is automatically turned on within
the scope of a use 5.012
or higher) will turn that mostly into always.
If you want to handle Unicode properly, you should ensure that
unicode_strings
is turned on. Internally, this is encoded to bytes
using either UTF-8 or a native 8 bit encoding, depending on the history
of the string, but conceptually it is a sequence of characters, not
bytes. See perlunitut for a tutorial about that.
Let us now discuss Unicode character classes, most usually called
character properties. These are represented by the \p{=/=name=/
}=
escape sequence. The negation of this is \P{=/=name=/
}=. For example,
to match lower and uppercase characters,
$x = “BOB”; $x =~ ^\p{IsUpper}; # matches, uppercase char class $x =~ ^\P{IsUpper}; # doesnt match, char class sans uppercase $x =~ ^\p{IsLower}; # doesnt match, lowercase char class $x =~ ^\P{IsLower}; # matches, char class sans lowercase
(The “Is
” is optional.)
There are many, many Unicode character properties. For the full list see
perluniprops. Most of them have synonyms with shorter names, also listed
there. Some synonyms are a single character. For these, you can drop the
braces. For instance, \pM
is the same thing as \p{Mark}
, meaning
things like accent marks.
The Unicode \p{Script}
and \p{Script_Extensions}
properties are used
to categorize every Unicode character into the language script it is
written in. For example, English, French, and a bunch of other European
languages are written in the Latin script. But there is also the Greek
script, the Thai script, the Katakana script, etc. (Script
is an
older, less advanced, form of Script_Extensions
, retained only for
backwards compatibility.) You can test whether a character is in a
particular script with, for example \p{Latin}
, \p{Greek}
, or
\p{Katakana}
. To test if it isn’t in the Balinese script, you would
use \P{Balinese}
. (These all use Script_Extensions
under the hood,
as that gives better results.)
What we have described so far is the single form of the \p{...}
character classes. There is also a compound form which you may run into.
These look like \p{=/=name=/===/=value=/
}= or
\p{=/=name=/
:=/=value=/=}= (the equals sign and colon can be used
interchangeably). These are more general than the single form, and in
fact most of the single forms are just Perl-defined shortcuts for common
compound forms. For example, the script examples in the previous
paragraph could be written equivalently as
\p{Script_Extensions=Latin}
, \p{Script_Extensions:Greek}
,
\p{script_extensions=katakana}
, and \P{script_extensions=balinese}
(case is irrelevant between the {}
braces). You may never have to use
the compound forms, but sometimes it is necessary, and their use can
make your code easier to understand.
\X
is an abbreviation for a character class that comprises a Unicode
extended grapheme cluster. This represents a logical character: what
appears to be a single character, but may be represented internally by
more than one. As an example, using the Unicode full names, e.g., A +
COMBINING RING is a grapheme cluster with base character A and combining
character COMBINING RING, which translates in Danish to A“ with the
circle atop it, as in the word A\k:°’u-0)/2u’(dengstrom.
For the full and latest information about Unicode see the latest Unicode standard, or the Unicode Consortium’s website https://www.unicode.org
As if all those classes weren’t enough, Perl also defines POSIX-style
character classes. These have the form [:=/=name=/
:]=, with name the
name of the POSIX class. The POSIX classes are alpha
, alnum
,
ascii
, cntrl
, digit
, graph
, lower
, print
, punct
, space
,
upper
, and xdigit
, and two extensions, word
(a Perl extension to
match \w
), and blank
(a GNU extension). The /a
modifier restricts
these to matching just in the ASCII range; otherwise they can match the
same as their corresponding Perl Unicode classes: [:upper:]
is the
same as \p{IsUpper}
, etc. (There are some exceptions and gotchas
with this; see perlrecharclass for a full discussion.) The [:digit:]
,
[:word:]
, and [:space:]
correspond to the familiar \d
, \w
, and
\s
character classes. To negate a POSIX class, put a ^
in front of
the name, so that, e.g., [:^digit:]
corresponds to \D
and, under
Unicode, \P{IsDigit}
. The Unicode and POSIX character classes can be
used just like \d
, with the exception that POSIX character classes can
only be used inside of a character class:
\s+[abc[:digit:]xyz]\s*; # match a,b,c,x,y,z, or a digit ^=item\s; # match =item, # followed by a space and a digit \s+[abc\p{IsDigit}xyz]\s+; # match a,b,c,x,y,z, or a digit ^=item\s\p{IsDigit}; # match =item, # followed by a space and a digit
Whew! That is all the rest of the characters and character classes.
Compiling and saving regular expressions
In Part 1 we mentioned that Perl compiles a regexp into a compact
sequence of opcodes. Thus, a compiled regexp is a data structure that
can be stored once and used again and again. The regexp quote qr//
does exactly that: qr/string/
compiles the string
as a regexp and
transforms the result into a form that can be assigned to a variable:
$reg = qr/foo+bar?/; # reg contains a compiled regexp
Then $reg
can be used as a regexp:
$x = “fooooba”; $x =~ $reg; # matches, just like foo+bar? $x =~ $reg; # same thing, alternate form
$reg
can also be interpolated into a larger regexp:
$x =~ (abc)?$reg; # still matches
As with the matching operator, the regexp quote can use different
delimiters, e.g., qr!!
, qr{}
or qr~~
. Apostrophes as delimiters
(qr
) inhibit any interpolation.
Pre-compiled regexps are useful for creating dynamic matches that don’t
need to be recompiled each time they are encountered. Using pre-compiled
regexps, we write a grep_step
program which greps for a sequence of
patterns, advancing to the next pattern as soon as one has been
satisfied.
% cat > grep_step #!/usr/bin/perl # grep_step - match <number> regexps, one after the other # usage: multi_grep <number> regexp1 regexp2 … file1 file2 … $number = shift; $regexp[$_] = shift foreach (0..$number-1); @compiled = map qr/$_/, @regexp; while ($line = <>) { if ($line =~ $compiled[0]) { print $line; shift @compiled; last unless @compiled; } } ^D % grep_step 3 shift print last grep_step $number = shift; print $line; last unless @compiled;
Storing pre-compiled regexps in an array @compiled
allows us to simply
loop through the regexps without any recompilation, thus gaining
flexibility without sacrificing speed.
Composing regular expressions at runtime
Backtracking is more efficient than repeated tries with different
regular expressions. If there are several regular expressions and a
match with any of them is acceptable, then it is possible to combine
them into a set of alternatives. If the individual expressions are input
data, this can be done by programming a join operation. We’ll exploit
this idea in an improved version of the simple_grep
program: a program
that matches multiple patterns:
% cat > multi_grep #!/usr/bin/perl # multi_grep - match any of <number> regexps # usage: multi_grep <number> regexp1 regexp2 … file1 file2 … $number = shift; $regexp[$_] = shift foreach (0..$number-1); $pattern = join |, @regexp; while ($line = <>) { print $line if $line =~ $pattern; } ^D % multi_grep 2 shift for multi_grep $number = shift; $regexp[$_] = shift foreach (0..$number-1);
Sometimes it is advantageous to construct a pattern from the input that is to be analyzed and use the permissible values on the left hand side of the matching operations. As an example for this somewhat paradoxical situation, let’s assume that our input contains a command verb which should match one out of a set of available command verbs, with the additional twist that commands may be abbreviated as long as the given string is unique. The program below demonstrates the basic algorithm.
% cat > keymatch #!/usr/bin/perl $kwds = copy compare list print; while(
$cmd = <> ){ $cmd ~ s/^\s+|\s+$//g; # trim leading and trailing spaces
if( ( @matches = $kwds =~ /\b$cmd\w*/g ) =
1 ){ print “command:
@matches\n”; } elsif( @matches == 0 ){ print “no such command: $cmd\n”;
} else { print “not unique: $cmd (could be one of: @matches)\n”; } } ^D
% keymatch li command: list co not unique: co (could be one of: copy
compare) printer no such command: printer
Rather than trying to match the input against the keywords, we match the
combined set of keywords against the input. The pattern matching
operation $kwds =~ /\b($cmd\w*)/g
does several things at the same
time. It makes sure that the given command begins where a keyword begins
(\b
). It tolerates abbreviations due to the added \w*
. It tells us
the number of matches (scalar @matches
) and all the keywords that were
actually matched. You could hardly ask for more.
Embedding comments and modifiers in a regular expression
Starting with this section, we will be discussing Perl’s set of
extended patterns. These are extensions to the traditional regular
expression syntax that provide powerful new tools for pattern matching.
We have already seen extensions in the form of the minimal matching
constructs ??
, *?
, +?
, {n,m}?
, {n,}?
, and {,n}?
. Most of the
extensions below have the form (?char...)
, where the char
is a
character that determines the type of extension.
The first extension is an embedded comment (?#text)
. This embeds a
comment into the regular expression without affecting its meaning. The
comment should not have any closing parentheses in the text. An example
is
(?# Match an integer:)[+-]?\d+;
This style of commenting has been largely superseded by the raw,
freeform commenting that is allowed with the /x
modifier.
Most modifiers, such as /i
, /m
, /s
and /x
(or any combination
thereof) can also be embedded in a regexp using (?i)
, (?m)
, (?s)
,
and (?x)
. For instance,
(?i)yes; # match yes case insensitively /yes/i; # same thing /(?x)( # freeform version of an integer regexp [+-]? # match an optional sign \d+
Embedded modifiers can have two important advantages over the usual modifiers. Embedded modifiers allow a custom set of modifiers for each regexp pattern. This is great for matching an array of regexps that must have different modifiers:
$pattern[0] = (?i)doctor; $pattern[1] = Johnson; … while (<>) { foreach $patt (@pattern) { print if $patt; } }
The second advantage is that embedded modifiers (except /p
, which
modifies the entire regexp) only affect the regexp inside the group the
embedded modifier is contained in. So grouping can be used to localize
the modifier’s effects:
Answer: ((?i)yes); # matches Answer: yes, Answer: YES, etc.
Embedded modifiers can also turn off any modifiers already present by
using, e.g., (?-i)
. Modifiers can also be combined into a single
expression, e.g., (?s-i)
turns on single line mode and turns off
case insensitivity.
Embedded modifiers may also be added to a non-capturing grouping.
(?i-m:regexp)
is a non-capturing grouping that matches regexp
case
insensitively and turns off multi-line mode.
Looking ahead and looking behind
This section concerns the lookahead and lookbehind assertions. First, a little background.
In Perl regular expressions, most regexp elements eat up a certain
amount of string when they match. For instance, the regexp element
[abc]
eats up one character of the string when it matches, in the
sense that Perl moves to the next character position in the string after
the match. There are some elements, however, that don’t eat up
characters (advance the character position) if they match. The examples
we have seen so far are the anchors. The anchor ^
matches the
beginning of the line, but doesn’t eat any characters. Similarly, the
word boundary anchor \b
matches wherever a character matching \w
is
next to a character that doesn’t, but it doesn’t eat up any characters
itself. Anchors are examples of zero-width assertions: zero-width,
because they consume no characters, and assertions, because they test
some property of the string. In the context of our walk in the woods
analogy to regexp matching, most regexp elements move us along a trail,
but anchors have us stop a moment and check our surroundings. If the
local environment checks out, we can proceed forward. But if the local
environment doesn’t satisfy us, we must backtrack.
Checking the environment entails either looking ahead on the trail,
looking behind, or both. ^
looks behind, to see that there are no
characters before. $
looks ahead, to see that there are no characters
after. \b
looks both ahead and behind, to see if the characters on
either side differ in their word-ness.
The lookahead and lookbehind assertions are generalizations of the
anchor concept. Lookahead and lookbehind are zero-width assertions that
let us specify which characters we want to test for. The lookahead
assertion is denoted by (?=regexp)
or (starting in 5.32,
experimentally in 5.28) (*pla:regexp)
or
(*positive_lookahead:regexp)
; and the lookbehind assertion is denoted
by (?<=fixed-regexp)
or (starting in 5.32, experimentally in 5.28)
(*plb:fixed-regexp)
or (*positive_lookbehind:fixed-regexp)
. Some
examples are
$x = “I catch the housecat Tom-cat with catnip”; $x ~ /cat(*pla:\s)/; #
matches cat in housecat @catwords = ($x =~ /(?<
\s)cat\w+/g); # matches,
matches cat in Tom-cat $x ~ /(?<
\s)cat(?=\s)/; # doesnt match; no
isolated cat in # middle of $x
Note that the parentheses in these are non-capturing, since these are
zero-width assertions. Thus in the second regexp, the substrings
captured are those of the whole regexp itself. Lookahead can match
arbitrary regexps, but lookbehind prior to 5.30 (?<=fixed-regexp)
only
works for regexps of fixed width, i.e., a fixed number of characters
long. Thus (?<=(ab|bc))
is fine, but (?<=(ab)*)
prior to 5.30 is
not.
The negated versions of the lookahead and lookbehind assertions are
denoted by (?!regexp)
and (?<!fixed-regexp)
respectively. Or,
starting in 5.32 (experimentally in 5.28), (*nla:regexp)
,
(*negative_lookahead:regexp)
, (*nlb:regexp)
, or
(*negative_lookbehind:regexp)
. They evaluate true if the regexps do
not match:
$x = “foobar”; $x =~ foo(?!bar); # doesnt match, bar follows foo $x =~ foo(?!baz); # matches, baz doesnt follow foo $x =~ (?<!\s)foo; # matches, there is no \s before foo
Here is an example where a string containing blank-separated words,
numbers and single dashes is to be split into its components. Using
/\s+/
alone won’t work, because spaces are not required between
dashes, or a word or a dash. Additional places for a split are
established by looking ahead and behind:
$str = “one two - –6-8”; @toks = split / \s+ # a run of spaces | (?<=§) (?=-) # any non-space followed by - | (?<=-) (?=§) # a - followed by any non-space /x, $str; # @toks = qw(one two - - - 6 - 8)
Using independent subexpressions to prevent backtracking
Independent subexpressions (or atomic subexpressions) are regular
expressions, in the context of a larger regular expression, that
function independently of the larger regular expression. That is, they
consume as much or as little of the string as they wish without regard
for the ability of the larger regexp to match. Independent
subexpressions are represented by (?>regexp)
or (starting in 5.32,
experimentally in 5.28) (*atomic:regexp)
. We can illustrate their
behavior by first considering an ordinary regexp:
$x = “ab”; $x =~ a*ab; # matches
This obviously matches, but in the process of matching, the
subexpression a*
first grabbed the a
. Doing so, however, wouldn’t
allow the whole regexp to match, so after backtracking, a*
eventually
gave back the a
and matched the empty string. Here, what a*
matched
was dependent on what the rest of the regexp matched.
Contrast that with an independent subexpression:
$x =~ (?>a*)ab; # doesnt match!
The independent subexpression (?>a*)
doesn’t care about the rest of
the regexp, so it sees an a
and grabs it. Then the rest of the regexp
ab
cannot match. Because (?>a*)
is independent, there is no
backtracking and the independent subexpression does not give up its a
.
Thus the match of the regexp as a whole fails. A similar behavior occurs
with completely independent regexps:
$x = “ab”; $x =~ /a*/g; # matches, eats an a $x =~ /\Gab/g; # doesnt match, no a available
Here /g
and \G
create a tag team handoff of the string from one
regexp to the other. Regexps with an independent subexpression are much
like this, with a handoff of the string to the independent
subexpression, and a handoff of the string back to the enclosing regexp.
The ability of an independent subexpression to prevent backtracking can be quite useful. Suppose we want to match a non-empty string enclosed in parentheses up to two levels deep. Then the following regexp matches:
$x = “abc(de(fg)h”; # unbalanced parentheses $x =~ /\( ( [ ^ () ]+ | \( [ ^ () ]* \) )+ \)/xx;
The regexp matches an open parenthesis, one or more copies of an
alternation, and a close parenthesis. The alternation is two-way, with
the first alternative [^()]+
matching a substring with no parentheses
and the second alternative \([^()]*\)
matching a substring delimited
by parentheses. The problem with this regexp is that it is pathological:
it has nested indeterminate quantifiers of the form (a+|b)+
. We
discussed in Part 1 how nested quantifiers like this could take an
exponentially long time to execute if no match were possible. To prevent
the exponential blowup, we need to prevent useless backtracking at some
point. This can be done by enclosing the inner quantifier as an
independent subexpression:
$x =~ /\( ( (?> [ ^ () ]+ ) | \([ ^ () ]* \) )+ \)/xx;
Here, (?>[^()]+)
breaks the degeneracy of string partitioning by
gobbling up as much of the string as possible and keeping it. Then match
failures fail much more quickly.
Conditional expressions
A conditional expression is a form of if-then-else statement that
allows one to choose which patterns are to be matched, based on some
condition. There are two types of conditional expression:
(?(=/=condition=/
)=/=yes-regexp=/=)= and
(?(condition)=/=yes-regexp=/=|=/=no-regexp=/
)=.
(?(=/=condition=/
)=/=yes-regexp=/=)= is like an if () {}
statement
in Perl. If the condition is true, the yes-regexp will be matched.
If the condition is false, the yes-regexp will be skipped and Perl
will move onto the next regexp element. The second form is like an
if () {} else {}
statement in Perl. If the condition is true, the
yes-regexp will be matched, otherwise the no-regexp will be matched.
The condition can have several forms. The first form is simply an
integer in parentheses (=/=integer=/
)=. It is true if the
corresponding backreference \=/=integer=/ matched earlier in the
regexp. The same thing can be done with a name associated with a capture
group, written as =(<=/=name=/=>)
or (=/=name=/
)=. The second form is
a bare zero-width assertion (?...)
, either a lookahead, a lookbehind,
or a code assertion (discussed in the next section). The third set of
forms provides tests that return true if the expression is executed
within a recursion ((R)
) or is being called from some capturing group,
referenced either by number ((R1)
, (R2)
,…) or by name
((R&=/=name=/
)=).
The integer or name form of the condition
allows us to choose, with
more flexibility, what to match based on what matched earlier in the
regexp. This searches for words of the form "$x$x"
or "$x$y$y$x"
:
% simple_grep ^(\w+)(\w+)?(?(2)\g2\g1|\g1)$ /usr/dict/words beriberi coco couscous deed … toot toto tutu
The lookbehind condition
allows, along with backreferences, an earlier
part of the match to influence a later part of the match. For instance,
[ATGC]+(?(?<=AA)G|C)$;
matches a DNA sequence such that it either ends in AAG
, or some other
base pair combination and C
. Note that the form is (?(?<=AA)G|C)
and
not (?((?<=AA))G|C)
; for the lookahead, lookbehind or code assertions,
the parentheses around the conditional are not needed.
Defining named patterns
Some regular expressions use identical subpatterns in several places.
Starting with Perl 5.10, it is possible to define named subpatterns in a
section of the pattern so that they can be called up by name anywhere in
the pattern. This syntactic pattern for this definition group is
(?(DEFINE)(?<=/=name=/=>=/=pattern=/
)…)=. An insertion of a named
pattern is written as (?&=/=name=/
)=.
The example below illustrates this feature using the pattern for
floating point numbers that was presented earlier on. The three
subpatterns that are used more than once are the optional sign, the
digit sequence for an integer and the decimal fraction. The DEFINE
group at the end of the pattern contains their definition. Notice that
the decimal fraction pattern is the first place where we can reuse the
integer pattern.
/^ (?&osg)\ * ( (?&int)(?&dec)? | (?&dec) ) (?: [eE](?&osg)(?&int) )? $
(?(DEFINE) (?<osg>[-]?) # optional sign (?<int>\d+) # integer
(?<dec>\.(?&int)) # decimal fraction )/x
Recursive patterns
This feature (introduced in Perl 5.10) significantly extends the power
of Perl’s pattern matching. By referring to some other capture group
anywhere in the pattern with the construct (?=/=group-ref=/
)=, the
pattern within the referenced group is used as an independent
subpattern in place of the group reference itself. Because the group
reference may be contained within the group it refers to, it is now
possible to apply pattern matching to tasks that hitherto required a
recursive parser.
To illustrate this feature, we’ll design a pattern that matches if a string contains a palindrome. (This is a word or a sentence that, while ignoring spaces, interpunctuation and case, reads the same backwards as forwards. We begin by observing that the empty string or a string containing just one word character is a palindrome. Otherwise it must have a word character up front and the same at its end, with another palindrome in between.
/(?: (\w) (?…Here be a palindrome…) \g{ -1 } | \w? )/x
Adding \W*
at either end to eliminate what is to be ignored, we
already have the full pattern:
my $pp = qr/^(\W* (?: (\w) (?1) \g{-1} | \w? ) \W*)$/ix; for $s ( “saippuakauppias”, “A man, a plan, a canal: Panama!” ){ print “$s is a palindrome\n” if $s =~ $pp; }
In (?...)
both absolute and relative backreferences may be used. The
entire pattern can be reinserted with (?R)
or (?0)
. If you prefer to
name your groups, you can use (?&=/=name=/
)= to recurse into that
group.
A bit of magic: executing Perl code in a regular expression
Normally, regexps are a part of Perl expressions. Code evaluation
expressions turn that around by allowing arbitrary Perl code to be a
part of a regexp. A code evaluation expression is denoted
(?{=/=code=/
})=, with code a string of Perl statements.
Code expressions are zero-width assertions, and the value they return
depends on their environment. There are two possibilities: either the
code expression is used as a conditional in a conditional expression
(?(=/=condition=/
)…)=, or it is not. If the code expression is a
conditional, the code is evaluated and the result (i.e., the result of
the last statement) is used to determine truth or falsehood. If the code
expression is not used as a conditional, the assertion always evaluates
true and the result is put into the special variable $^R
. The variable
$^R
can then be used in code expressions later in the regexp. Here are
some silly examples:
$x = “abcdef”; $x =~ abc(?{print “Hi Mom!”;})def; # matches, # prints Hi Mom! $x =~ aaa(?{print “Hi Mom!”;})def; # doesnt match, # no Hi Mom!
Pay careful attention to the next example:
$x =~ abc(?{print “Hi Mom!”;})ddd; # doesnt match, # no Hi Mom! # but why not?
At first glance, you’d think that it shouldn’t print, because obviously
the ddd
isn’t going to match the target string. But look at this
example:
$x =~ abc(?{print “Hi Mom!”;})[dD]dd; # doesnt match, # but does print
Hmm. What happened here? If you’ve been following along, you know that
the above pattern should be effectively (almost) the same as the last
one; enclosing the d
in a character class isn’t going to change what
it matches. So why does the first not print while the second one does?
The answer lies in the optimizations the regexp engine makes. In the
first case, all the engine sees are plain old characters (aside from the
?{}
construct). It’s smart enough to realize that the string ddd
doesn’t occur in our target string before actually running the pattern
through. But in the second case, we’ve tricked it into thinking that our
pattern is more complicated. It takes a look, sees our character class,
and decides that it will have to actually run the pattern to determine
whether or not it matches, and in the process of running it hits the
print statement before it discovers that we don’t have a match.
To take a closer look at how the engine does optimizations, see the section Pragmas and debugging below.
More fun with ?{}
:
$x =~ (?{print “Hi Mom!”;}); # matches, # prints Hi Mom! $x =~ (?{$c = 1;})(?{print “$c”;}); # matches, # prints 1 $x =~ (?{\(c = 1;})(?{print "\)^R“;}); # matches, # prints 1
The bit of magic mentioned in the section title occurs when the regexp
backtracks in the process of searching for a match. If the regexp
backtracks over a code expression and if the variables used within are
localized using local
, the changes in the variables produced by the
code expression are undone! Thus, if we wanted to count how many times a
character got matched inside a group, we could use, e.g.,
$x = “aaaa”; $count = 0; # initialize a count $c = “bob”; # test if $c gets clobbered $x =~ /(?{local $c = 0;}) # initialize count ( a # match a (?{local $c = $c + 1;}) # increment count )* # do this any number of times, aa # but match aa at the end (?{$count = $c;}) # copy local $c var into $count /x; print “a count is $count, \$c variable is $c\n”;
This prints
a count is 2, $c variable is bob
If we replace the = (?{local $c = $c + 1;})= with = (?{$c = $c + 1;})=, the variable changes are not undone during backtracking, and we get
a count is 4, $c variable is bob
Note that only localized variable changes are undone. Other side effects of code expression execution are permanent. Thus
$x = “aaaa”; $x =~ (a(?{print “Yow\n”;}))*aa;
produces
Yow Yow Yow Yow
The result $^R
is automatically localized, so that it will behave
properly in the presence of backtracking.
This example uses a code expression in a conditional to match a definite
article, either the
in English or der|die|das
in German:
$lang = DE; # use German … $text = “das”; print “matched\n” if $text =~ /(?(?{ $lang eq EN; # is the language English? }) the | # if so, then match the (der|die|das) # else, match der|die|das ) /xi;
Note that the syntax here is
(?(?{...})=/=yes-regexp=/=|=/=no-regexp=/
)=, not
(?((?{...}))=/=yes-regexp=/=|=/=no-regexp=/
)=. In other words, in the
case of a code expression, we don’t need the extra parentheses around
the conditional.
If you try to use code expressions where the code text is contained within an interpolated variable, rather than appearing literally in the pattern, Perl may surprise you:
$bar = 5; $pat = (?{ 1 }); foo(?{ $bar })bar; # compiles ok, $bar not interpolated foo(?{ 1 })$bar; # compiles ok, \(bar interpolated /foo\){pat}bar/; # compile error! $pat = qr/(?{ \(foo = 1 })/; # precompile code regexp /foo\){pat}bar/; # compiles ok
If a regexp has a variable that interpolates a code expression, Perl treats the regexp as an error. If the code expression is precompiled into a variable, however, interpolating is ok. The question is, why is this an error?
The reason is that variable interpolation and code expressions together pose a security risk. The combination is dangerous because many programmers who write search engines often take user input and plug it directly into a regexp:
$regexp = <>; # read user-supplied regexp $chomp $regexp; # get rid of possible newline $text =~ $regexp; # search $text for the $regexp
If the $regexp
variable contains a code expression, the user could
then execute arbitrary Perl code. For instance, some joker could search
for system(rm -rf *);
to erase your files. In this sense, the
combination of interpolation and code expressions taints your regexp.
So by default, using both interpolation and code expressions in the same
regexp is not allowed. If you’re not concerned about malicious users, it
is possible to bypass this security check by invoking use re eval
:
use re eval; # throw caution out the door $bar = 5; \(pat = (?{ 1 }); /foo\){pat}bar/; # compiles ok
Another form of code expression is the pattern code expression. The pattern code expression is like a regular code expression, except that the result of the code evaluation is treated as a regular expression and matched immediately. A simple example is
$length = 5; $char = a; $x = aaaaabb; $x =~ /(??{$char x $length})/x; # matches, there are 5 of a
This final example contains both ordinary and pattern code expressions.
It detects whether a binary string 1101010010001...
has a Fibonacci
spacing 0,1,1,2,3,5,… of the 1
’s:
$x = “1101010010001000001”; $z0 = ; $z1 = 0; # initial conditions print
“It is a Fibonacci sequence\n” if $x ~ /^1 # match an initial 1 (?:
((??{ $z0 })) # match some 0 1 # and then a 1 (?{ $z0 = $z1; $z1 .
$^N;
}) )+ # repeat as needed $ # that is all there is /x; printf “Largest
sequence matched was %d\n”, length($z1)-length($z0);
Remember that $^N
is set to whatever was matched by the last completed
capture group. This prints
It is a Fibonacci sequence Largest sequence matched was 5
Ha! Try that with your garden variety regexp package…
Note that the variables $z0
and $z1
are not substituted when the
regexp is compiled, as happens for ordinary variables outside a code
expression. Rather, the whole code block is parsed as perl code at the
same time as perl is compiling the code containing the literal regexp
pattern.
This regexp without the /x
modifier is
^1(?:((??{ $z0 }))1(?{ $z0 = $z1; $z1 .= \(^N; }))+\)
which shows that spaces are still possible in the code parts. Nevertheless, when working with code and conditional expressions, the extended form of regexps is almost necessary in creating and debugging regexps.
Backtracking control verbs
Perl 5.10 introduced a number of control verbs intended to provide detailed control over the backtracking process, by directly influencing the regexp engine and by providing monitoring techniques. See Special Backtracking Control Verbs in perlre for a detailed description.
Below is just one example, illustrating the control verb (*FAIL)
,
which may be abbreviated as (*F)
. If this is inserted in a regexp it
will cause it to fail, just as it would at some mismatch between the
pattern and the string. Processing of the regexp continues as it would
after any normal failure, so that, for instance, the next position in
the string or another alternative will be tried. As failing to match
doesn’t preserve capture groups or produce results, it may be necessary
to use this in combination with embedded code.
%count = (); “supercalifragilisticexpialidocious” =~ /([aeiou])(?{ $count{$1}++; })(*FAIL)/i; printf “%3d %s\n”, $count{$_}, $_ for (sort keys %count);
The pattern begins with a class matching a subset of letters. Whenever
this matches, a statement like $count{a}++;
is executed, incrementing
the letter’s counter. Then (*FAIL)
does what it says, and the regexp
engine proceeds according to the book: as long as the end of the string
hasn’t been reached, the position is advanced before looking for another
vowel. Thus, match or no match makes no difference, and the regexp
engine proceeds until the entire string has been inspected. (It’s
remarkable that an alternative solution using something like
$count{lc($_)}++ for split(, “supercalifragilisticexpialidocious”); printf “%3d %s\n”, $count2{$_}, $_ for ( qw{ a e i o u } );
is considerably slower.)
Pragmas and debugging
Speaking of debugging, there are several pragmas available to control
and debug regexps in Perl. We have already encountered one pragma in the
previous section, use re eval;
, that allows variable interpolation and
code expressions to coexist in a regexp. The other pragmas are
use re taint; $tainted = <>; @parts = ($tainted =~ (\w+)\s+(\w+); # @parts is now tainted
The taint
pragma causes any substrings from a match with a tainted
variable to be tainted as well. This is not normally the case, as
regexps are often used to extract the safe bits from a tainted variable.
Use taint
when you are not extracting safe bits, but are performing
some other processing. Both taint
and eval
pragmas are lexically
scoped, which means they are in effect only until the end of the block
enclosing the pragmas.
use re m; # or any other flags $multiline_string =~ /^foo; # /m is implied
The re /flags
pragma (introduced in Perl 5.14) turns on the given
regular expression flags until the end of the lexical scope. See
’/flags’ mode in re for more detail.
use re debug; /^(.*)$/s; # output debugging info use re debugcolor; /^(.*)$/s; # output debugging info in living color
The global debug
and debugcolor
pragmas allow one to get detailed
debugging info about regexp compilation and execution. debugcolor
is
the same as debug, except the debugging information is displayed in
color on terminals that can display termcap color sequences. Here is
example output:
% perl -e use re “debug”; “abc” =~ a*b+c; Compiling REx a*b+c size 9 first at 1 1: STAR(4) 2: EXACT <a>(0) 4: PLUS(7) 5: EXACT <b>(0) 7: EXACT <c>(9) 9: END(0) floating bc at 0..2147483647 (checking floating) minlen 2 Guessing start of match, REx a*b+c against abc… Found floating substr bc at offset 1… Guessed: match at offset 0 Matching REx a*b+c against abc Setting an EVAL scope, savestack=3 0 <> <abc> | 1: STAR EXACT <a> can match 1 times out of 32767… Setting an EVAL scope, savestack=3 1 <a> <bc> | 4: PLUS EXACT <b> can match 1 times out of 32767… Setting an EVAL scope, savestack=3 2 <ab> <c> | 7: EXACT <c> 3 <abc> <> | 9: END Match successful! Freeing REx: a*b+c
If you have gotten this far into the tutorial, you can probably guess what the different parts of the debugging output tell you. The first part
Compiling REx a*b+c size 9 first at 1 1: STAR(4) 2: EXACT <a>(0) 4: PLUS(7) 5: EXACT <b>(0) 7: EXACT <c>(9) 9: END(0)
describes the compilation stage. STAR(4)
means that there is a starred
object, in this case a
, and if it matches, goto line 4, i.e.,
PLUS(7)
. The middle lines describe some heuristics and optimizations
performed before a match:
floating bc at 0..2147483647 (checking floating) minlen 2 Guessing start of match, REx a*b+c against abc… Found floating substr bc at offset 1… Guessed: match at offset 0
Then the match is executed and the remaining lines describe the process:
Matching REx a*b+c against abc Setting an EVAL scope, savestack=3 0 <> <abc> | 1: STAR EXACT <a> can match 1 times out of 32767… Setting an EVAL scope, savestack=3 1 <a> <bc> | 4: PLUS EXACT <b> can match 1 times out of 32767… Setting an EVAL scope, savestack=3 2 <ab> <c> | 7: EXACT <c> 3 <abc> <> | 9: END Match successful! Freeing REx: a*b+c
Each step is of the form n <x> <y>
, with <x>
the part of the string
matched and <y>
the part not yet matched. The | 1: STAR
says that
Perl is at line number 1 in the compilation list above. See Debugging
Regular Expressions in perldebguts for much more detail.
An alternative method of debugging regexps is to embed print
statements within the regexp. This provides a blow-by-blow account of
the backtracking in an alternation:
“that this” =~ m@(?{print “Start at position ”, pos, “\n”;}) t(?{print “t1\n”;}) h(?{print “h1\n”;}) i(?{print “i1\n”;}) s(?{print “s1\n”;}) | t(?{print “t2\n”;}) h(?{print “h2\n”;}) a(?{print “a2\n”;}) t(?{print “t2\n”;}) (?{print “Done at position ”, pos, “\n”;}) @x;
prints
Start at position 0 t1 h1 t2 h2 a2 t2 Done at position 4
SEE ALSO
This is just a tutorial. For the full story on Perl regular expressions, see the perlre regular expressions reference page.
For more information on the matching m//
and substitution s///
operators, see Regexp Quote-Like Operators in perlop. For information on
the split
operation, see split in perlfunc.
For an excellent all-around resource on the care and feeding of regular expressions, see the book Mastering Regular Expressions by Jeffrey Friedl (published by O’Reilly, ISBN 1556592-257-3).
AUTHOR AND COPYRIGHT
Copyright (c) 2000 Mark Kvale. All rights reserved. Now maintained by Perl porters.
This document may be distributed under the same terms as Perl itself.
Acknowledgments
The inspiration for the stop codon DNA example came from the ZIP code example in chapter 7 of Mastering Regular Expressions.
The author would like to thank Jeff Pinyan, Andrew Johnson, Peter Haworth, Ronald J Kimball, and Joe Smith for all their helpful comments.