\HeaderA{regex}{Regular Expressions as used in R}{regex}
\aliasA{regexp}{regex}{regexp}
\aliasA{regular expression}{regex}{regular expression}
\keyword{character}{regex}
\begin{Description}\relax
This help page documents the regular expression patterns supported by
\code{\LinkA{grep}{grep}} and related functions \code{regexpr},
\code{gregexpr}, \code{sub} and \code{gsub}, as well as by
\code{\LinkA{strsplit}{strsplit}}.
\end{Description}
\begin{Details}\relax
A \sQuote{regular expression} is a pattern that describes a set of
strings.  Three types of regular expressions are used in \R,
\emph{extended} regular expressions, used by
\code{grep(extended = TRUE)} (its default), \emph{basic} regular
expressions, as used by \code{grep(extended = FALSE)}, and
\emph{Perl-like} regular expressions used by \code{grep(perl = TRUE)}.

Other functions which use regular expressions (often via the use of
\code{grep}) include \code{apropos}, \code{browseEnv},
\code{help.search}, \code{list.files}, \code{ls} and \code{strsplit}.
These will all use \emph{extended} regular expressions, unless
\code{strsplit} is called with argument \code{extended = FALSE} or
\code{perl = TRUE}.

Patterns are described here as they would be printed by \code{cat}:
\emph{do remember that backslashes need to be doubled when entering \R{}
character strings}, e.g. from the keyboard.
\end{Details}
\begin{Section}{Extended Regular Expressions}
This section covers the regular expressions allowed if \code{extended
  = TRUE} in \code{grep}, \code{regexpr}, \code{gregexpr}, \code{sub},
\code{gsub} and \code{strsplit}.  They use the \code{glibc 2.6}
implementation of the POSIX 1003.2 standard.

Regular expressions are constructed analogously to arithmetic
expressions, by using various operators to combine smaller expressions.

The fundamental building blocks are the regular expressions that match
a single character.  Most characters, including all letters and
digits, are regular expressions that match themselves.  Any
metacharacter with special meaning may be quoted by preceding it with
a backslash.  (Escaping other characters with a backslash is
undefined in POSIX but gives the character in the \R{} implementation.)
The metacharacters in EREs are \code{. \bsl{} | ( ) [ \{ \textasciicircum{} \$ * + ?}, but
note that whether these have a special meaning depends on the context.

A \emph{character class} is a list of characters enclosed between
\code{[} and \code{]} which matches any single character in that list;
unless the first character of the list is the caret \code{\textasciicircum{}}, when it
matches any character \emph{not} in the list.  For example, the
regular expression \code{[0123456789]} matches any single digit, and
\code{[\textasciicircum{}abc]} matches anything except the characters \code{a},
\code{b} or \code{c}.  A range of characters may be specified by
giving the first and last characters, separated by a hyphen.  (Because
their interpretation is so locale-dependent, they are best avoided.)

The precise way character ranges are interpreted depends on the values
of \code{perl} and \code{ignore.case}.  For basic and extended regular
expressions the collation order is taken from the OS's
implementation of the setting of the locale category
\code{LC\_COLLATE}, so \code{[W-Z]} may include \code{x} and if it
does may or may not include \code{w}.  (In most English locales the
collation order is \code{wWxXyYzZ}.)  For caseless matching the
characters in a range are interpreted as if in lower case, so in an
English locale \code{[W-z]} matches \code{WXYZwxyz}.

For Perl regexps, the ranges are interpreted in the numerical order of
the characters, either as bytes in an 8-bit locale or as Unicode
points in a UTF-8 locale.

Certain named classes of characters are predefined.  Their
interpretation depends on the \emph{locale} (see \LinkA{locales}{locales}); the
interpretation below is that of the POSIX locale.

\describe{
\item[\code{[:alnum:]}] Alphanumeric characters: \code{[:alpha:]}
and \code{[:digit:]}.

\item[\code{[:alpha:]}] Alphabetic characters: \code{[:lower:]} and
\code{[:upper:]}.

\item[\code{[:blank:]}] Blank characters: space and tab.

\item[\code{[:cntrl:]}] Control characters.  In ASCII, these characters have octal codes
000 through 037, and 177 (\code{DEL}).  In another character set,
these are the equivalent characters, if any.

\item[\code{[:digit:]}] Digits: \code{0 1 2 3 4 5 6 7 8 9}.

\item[\code{[:graph:]}] Graphical characters: \code{[:alnum:]} and
\code{[:punct:]}.

\item[\code{[:lower:]}] Lower-case letters in the current locale.

\item[\code{[:print:]}] Printable characters: \code{[:alnum:]}, \code{[:punct:]} and space.

\item[\code{[:punct:]}] Punctuation characters:
\code{! " \# \$ \% \& ' ( ) * + , - . / : ; < = > ? @ [ \bsl{} ] \textasciicircum{} \_ ` \{ | \} \textasciitilde{}}.

\item[\code{[:space:]}] Space characters: tab, newline, vertical tab, form feed, carriage
return, and space.

\item[\code{[:upper:]}] Upper-case letters in the current locale.

\item[\code{[:xdigit:]}] Hexadecimal digits:
\code{0 1 2 3 4 5 6 7 8 9 A B C D E F a b c d e f}.
}

For example, \code{[[:alnum:]]} means \code{[0-9A-Za-z]}, except the
latter depends upon the locale and the character encoding, whereas
the former is independent of locale and character set.  (Note that the
brackets in these class names are part of the symbolic names, and must
be included in addition to the brackets delimiting the bracket list.)
Most metacharacters lose their special meaning inside lists.  To
include a literal \code{]}, place it first in the list.  Similarly, to
include a literal \code{\textasciicircum{}}, place it anywhere but first.  Finally, to
include a literal \code{-}, place it first or last (or, for
\code{perl = TRUE} only, precede it by a backslash.).  (Only these and
\code{\bsl{}} remain special inside character classes.)

The period \code{.} matches any single character.  The symbol
\code{\bsl{}w} is documented to be synonym for \code{[[:alnum:]]} and
\code{\bsl{}W} is its negation.  However, \code{\bsl{}w} also
matches underscore in the GNU grep code used in \R.

The caret \code{\textasciicircum{}} and the dollar sign \code{\$} are metacharacters
that respectively match the empty string at the beginning and end of a
line.  The symbols \code{\bsl{}<} and \code{\bsl{}>} respectively match the
empty string at the beginning and end of a word.  The symbol \code{\bsl{}b}
matches the empty string at either edge of a word, and \code{\bsl{}B} matches
the empty string provided it is not at an edge of a word.

A regular expression may be followed by one of several repetition
quantifiers:
\describe{
\item[\code{?}] The preceding item is optional and will be matched
at most once.

\item[\code{*}] The preceding item will be matched zero or more
times.

\item[\code{+}] The preceding item will be matched one or more
times.

\item[\code{\{n\}}] The preceding item is matched exactly \code{n}
times.

\item[\code{\{n,\}}] The preceding item is matched \code{n} or more
times.

\item[\code{\{n,m\}}] The preceding item is matched at least \code{n}
times, but not more than \code{m} times.
}
Repetition is greedy, so the maximal possible number of repeats is used.

Two regular expressions may be concatenated; the resulting regular
expression matches any string formed by concatenating two substrings
that respectively match the concatenated subexpressions.

Two regular expressions may be joined by the infix operator \code{|};
the resulting regular expression matches any string matching either
subexpression.   For example, \code{abba|cde} matches either the
string \code{abba} or the string \code{cde}.  Note that alternation
does not work inside character classes, where \code{|} has its literal
meaning.

Repetition takes precedence over concatenation, which in turn takes
precedence over alternation.  A whole subexpression may be enclosed in
parentheses to override these precedence rules.

The backreference \code{\bsl{}N}, where N is a single digit, matches the
substring previously matched by the Nth parenthesized subexpression of
the regular expression.
\end{Section}
\begin{Section}{Basic Regular Expressions}
This section covers the regular expressions allowed if \code{extended
  = FALSE} in \code{grep}, \code{regexpr}, \code{gregexpr}, \code{sub},
\code{gsub} and \code{strsplit}.

In basic regular expressions the metacharacters \code{?}, \code{+},
\code{\{}, \code{|}, \code{(}, and \code{)} lose their special meaning;
instead use the backslashed versions \code{\bsl{}?}, \code{\bsl{}+},
\code{\bsl{} \{}, \code{\bsl{}|}, \code{\bsl{}(}, and \code{\bsl{})}.  Thus the
metacharacters are \code{. \bsl{} [ \textasciicircum{} \$ *}.
\end{Section}
\begin{Section}{Perl Regular Expressions}
The \code{perl = TRUE} argument to \code{grep}, \code{regexpr},
\code{gregexpr}, \code{sub}, \code{gsub} and \code{strsplit} switches
to the PCRE library that \sQuote{implements regular expression pattern
matching using the same syntax and semantics as Perl 5.6 or later,
with just a few differences}.  It adds some features from Perl 5.10.

For complete details please consult the man pages for PCRE, especially
\code{man pcrepattern} and \code{man pcreapi}), on your system or from
the sources at \url{http://www.pcre.org}. If PCRE support was compiled
from the sources within \R, the PCRE version is 7.6 as described here
(version \eqn{\ge}{>=} 7.6 is required if \R{} is configured to use the
system's PCRE library).

Perl regular expressions are computed byte-by-byte rather than
character-by-character except in UTF-8 locales.  Since the only
non-UTF-8 multibyte locales in common use are those for CJK languages,
they should be used with care in non-UTF-8 CJK locales.

All the regular expressions described for extended regular expressions
are accepted except \code{\bsl{}<} and \code{\bsl{}>}: in Perl all backslashed
metacharacters are alphanumeric and backslashed symbols always are
interpreted as a literal character. \code{\{} is not special if it would
be the start of an invalid interval specification.  There can be more than
9 backreferences.  In a UTF-8 locale the named character classes only
match ASCII characters: see \code{\bsl{}p} below for an alternative.

The construct \code{(?...)} is used for Perl extensions in a variety
of ways depending on what immediately follows the \code{?}.

Perl-like matching can work in several modes, set by the options
\code{(?i)} (caseless, equivalent to Perl's \code{/i}), \code{(?m)}
(multiline, equivalent to Perl's \code{/m}), \code{(?s)} (single line,
so a dot matches all characters, even new lines: equivalent to Perl's
\code{/s}) and \code{(?x)} (extended, whitespace data characters are
ignored unless escaped and comments are allowed: equivalent to Perl's
\code{/x}).  These can be concatenated, so for example, \code{(?im)}
sets caseless multiline matching.  It is also possible to unset these
options by preceding the letter with a hyphen, and to combine setting
and unsetting such as \code{(?im-sx)}.  These settings can be applied
within patterns, and then apply to the remainder of the pattern.
Additional options not in Perl include \code{(?U)} to set
\sQuote{ungreedy} mode (so matching is minimal unless \code{?} is used,
when it is greedy).  Initially none of these options are set.

If you want to remove the special meaning from a sequence of
characters, you can do so by putting them between \code{\bsl{}Q} and
\code{\bsl{}E}. This is different from Perl in that \code{\$} and \code{@} are
handled as literals in \code{\bsl{}Q...\bsl{}E} sequences in PCRE, whereas in
Perl, \code{\$} and \code{@} cause variable interpolation.

The escape sequences \code{\bsl{}d}, \code{\bsl{}s} and \code{\bsl{}w} represent any
decimal digit, space character and \sQuote{word} character
(letter, digit or underscore in the current locale, except that in a
UTF-8 locale only ASCII letters are considered) respectively, and
their upper-case versions represent their negation.  Unlike POSIX and
earlier versions of Perl and PCRE, vertical tab is not regarded as a
whitespace character.

Escape sequence \code{\bsl{}a} is \code{BEL}, \code{\bsl{}e} is \code{ESC},
\code{\bsl{}f} is \code{FF}, \code{\bsl{}n} is \code{LF}, \code{\bsl{}r} is
\code{CR} and \code{\bsl{}t} is \code{TAB}.  In addition \code{\bsl{}cx} is
\code{cntrl-x} for any \code{x}, \code{\bsl{}ddd} is the octal character
\code{ddd} (for up to three digits unless interpretable as a
backreference, as \code{\bsl{}1} to \code{\bsl{}7} always are), and
\code{\bsl{}xhh} specifies a character in hex.  In a UTF-8 locale,
\code{\bsl{}x\{h...\}} specifies a Unicode point by one or more hex
digits.

Outside a character class, \code{\bsl{}b} matches a word boundary,
\code{\bsl{}B} is its negation, \code{\bsl{}A} matches at start of a subject (even
in multiline mode, unlike \code{\textasciicircum{}}), \code{\bsl{}Z} matches at end of a
subject or before newline at end, \code{\bsl{}z} matches at end of a
subject. and \code{\bsl{}G} matches at first matching position in a
subject (which is subtly different from Perl's end of the previous
match).  \code{\bsl{}C} matches a single byte. including a newline.
In a UTF-8 locale, \code{\bsl{}R} matches any Unicode newline character
(not just CR), and \code{\bsl{}X} matches any number of Unicode characters
that form an extended Unicode sequence.

In a UTF-8 locale, some Unicode properties are supported via
\code{\bsl{}p\{\var{xx}\}} and \code{\bsl{}P\{\var{xx}\}} which match
characters with and without property \code{\var{xx}} respectively.
For a list of supported properties see the PCRE documentation, but for
example \code{Lu} is \sQuote{upper case letter} and \code{Sc} is
\sQuote{currency symbol}.

The same repetition quantifiers as extended POSIX are supported.
However, if a quantifier is followed by \code{?}, the match is
\sQuote{ungreedy}, that is as short as possible rather than as long as
possible (unless the meanings are reversed by the \code{(?U)} option.)

The sequence \code{(?\#} marks the start of a comment which continues
up to the next closing parenthesis.  Nested parentheses are not
permitted.  The characters that make up a comment play no part at all in
the pattern matching.

If the extended option is set, an unescaped \code{\#} character outside
a character class introduces a comment that continues up to the next
newline character in the pattern.

The pattern \code{(?:...)} groups characters just as parentheses do
but does not make a backreference.

Patterns \code{(?=...)} and \code{(?!...)} are zero-width positive and
negative lookahead \emph{assertions}: they match if an attempt to
match the \code{...} forward from the current position would succeed
(or not), but use up no characters in the string being processed.
Patterns \code{(?<=...)} and \code{(?<!...)} are the lookbehind
equivalents: they do not allow repetition quantifiers nor \code{\bsl{}C}
in \code{...}.

Named subpatterns, atomic grouping, possessive qualifiers and conditional
and recursive patterns are not covered here.
\end{Section}
\begin{Author}\relax
This help page is based on the documentation of GNU grep 2.4.2 and the
\code{pcrepattern} man page from PCRE 7.4.
\end{Author}
\begin{SeeAlso}\relax
\code{\LinkA{grep}{grep}}, \code{\LinkA{apropos}{apropos}}, \code{\LinkA{browseEnv}{browseEnv}},
\code{\LinkA{glob2rx}{glob2rx}}, \code{\LinkA{help.search}{help.search}}, \code{\LinkA{list.files}{list.files}},
\code{\LinkA{ls}{ls}} and \code{\LinkA{strsplit}{strsplit}}.

\url{http://www.opengroup.org/onlinepubs/009695399/basedefs/xbd_chap09.html}

The \code{pcrepattern} can be found as part of
\url{http://www.pcre.org/pcre.txt}, and details of Perl's own
implementation at \url{http://perldoc.perl.org/perlre.html}.
\end{SeeAlso}

