d4de0e6f1e
I was über lazy at first, so took libs from SM. But actually it's quite easy to compile, so let's update to latest version \o/.
529 lines
23 KiB
Plaintext
529 lines
23 KiB
Plaintext
Technical Notes about PCRE
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--------------------------
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These are very rough technical notes that record potentially useful information
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about PCRE internals. For information about testing PCRE, see the pcretest
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documentation and the comment at the head of the RunTest file.
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Historical note 1
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-----------------
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Many years ago I implemented some regular expression functions to an algorithm
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suggested by Martin Richards. These were not Unix-like in form, and were quite
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restricted in what they could do by comparison with Perl. The interesting part
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about the algorithm was that the amount of space required to hold the compiled
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form of an expression was known in advance. The code to apply an expression did
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not operate by backtracking, as the original Henry Spencer code and current
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Perl code does, but instead checked all possibilities simultaneously by keeping
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a list of current states and checking all of them as it advanced through the
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subject string. In the terminology of Jeffrey Friedl's book, it was a "DFA
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algorithm", though it was not a traditional Finite State Machine (FSM). When
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the pattern was all used up, all remaining states were possible matches, and
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the one matching the longest subset of the subject string was chosen. This did
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not necessarily maximize the individual wild portions of the pattern, as is
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expected in Unix and Perl-style regular expressions.
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Historical note 2
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-----------------
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By contrast, the code originally written by Henry Spencer (which was
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subsequently heavily modified for Perl) compiles the expression twice: once in
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a dummy mode in order to find out how much store will be needed, and then for
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real. (The Perl version probably doesn't do this any more; I'm talking about
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the original library.) The execution function operates by backtracking and
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maximizing (or, optionally, minimizing in Perl) the amount of the subject that
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matches individual wild portions of the pattern. This is an "NFA algorithm" in
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Friedl's terminology.
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OK, here's the real stuff
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-------------------------
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For the set of functions that form the "basic" PCRE library (which are
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unrelated to those mentioned above), I tried at first to invent an algorithm
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that used an amount of store bounded by a multiple of the number of characters
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in the pattern, to save on compiling time. However, because of the greater
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complexity in Perl regular expressions, I couldn't do this. In any case, a
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first pass through the pattern is helpful for other reasons.
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Support for 16-bit and 32-bit data strings
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-------------------------------------------
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From release 8.30, PCRE supports 16-bit as well as 8-bit data strings; and from
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release 8.32, PCRE supports 32-bit data strings. The library can be compiled
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in any combination of 8-bit, 16-bit or 32-bit modes, creating up to three
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different libraries. In the description that follows, the word "short" is used
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for a 16-bit data quantity, and the word "unit" is used for a quantity that is
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a byte in 8-bit mode, a short in 16-bit mode and a 32-bit word in 32-bit mode.
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However, so as not to over-complicate the text, the names of PCRE functions are
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given in 8-bit form only.
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Computing the memory requirement: how it was
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--------------------------------------------
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Up to and including release 6.7, PCRE worked by running a very degenerate first
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pass to calculate a maximum store size, and then a second pass to do the real
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compile - which might use a bit less than the predicted amount of memory. The
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idea was that this would turn out faster than the Henry Spencer code because
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the first pass is degenerate and the second pass can just store stuff straight
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into the vector, which it knows is big enough.
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Computing the memory requirement: how it is
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-------------------------------------------
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By the time I was working on a potential 6.8 release, the degenerate first pass
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had become very complicated and hard to maintain. Indeed one of the early
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things I did for 6.8 was to fix Yet Another Bug in the memory computation. Then
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I had a flash of inspiration as to how I could run the real compile function in
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a "fake" mode that enables it to compute how much memory it would need, while
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actually only ever using a few hundred bytes of working memory, and without too
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many tests of the mode that might slow it down. So I refactored the compiling
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functions to work this way. This got rid of about 600 lines of source. It
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should make future maintenance and development easier. As this was such a major
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change, I never released 6.8, instead upping the number to 7.0 (other quite
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major changes were also present in the 7.0 release).
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A side effect of this work was that the previous limit of 200 on the nesting
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depth of parentheses was removed. However, there is a downside: pcre_compile()
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runs more slowly than before (30% or more, depending on the pattern) because it
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is doing a full analysis of the pattern. My hope was that this would not be a
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big issue, and in the event, nobody has commented on it.
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At release 8.34, a limit on the nesting depth of parentheses was re-introduced
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(default 250, settable at build time) so as to put a limit on the amount of
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system stack used by pcre_compile(). This is a safety feature for environments
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with small stacks where the patterns are provided by users.
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Traditional matching function
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-----------------------------
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The "traditional", and original, matching function is called pcre_exec(), and
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it implements an NFA algorithm, similar to the original Henry Spencer algorithm
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and the way that Perl works. This is not surprising, since it is intended to be
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as compatible with Perl as possible. This is the function most users of PCRE
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will use most of the time. From release 8.20, if PCRE is compiled with
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just-in-time (JIT) support, and studying a compiled pattern with JIT is
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successful, the JIT code is run instead of the normal pcre_exec() code, but the
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result is the same.
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Supplementary matching function
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-------------------------------
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From PCRE 6.0, there is also a supplementary matching function called
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pcre_dfa_exec(). This implements a DFA matching algorithm that searches
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simultaneously for all possible matches that start at one point in the subject
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string. (Going back to my roots: see Historical Note 1 above.) This function
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intreprets the same compiled pattern data as pcre_exec(); however, not all the
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facilities are available, and those that are do not always work in quite the
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same way. See the user documentation for details.
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The algorithm that is used for pcre_dfa_exec() is not a traditional FSM,
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because it may have a number of states active at one time. More work would be
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needed at compile time to produce a traditional FSM where only one state is
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ever active at once. I believe some other regex matchers work this way. JIT
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support is not available for this kind of matching.
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Changeable options
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------------------
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The /i, /m, or /s options (PCRE_CASELESS, PCRE_MULTILINE, PCRE_DOTALL, and some
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others) may change in the middle of patterns. From PCRE 8.13, their processing
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is handled entirely at compile time by generating different opcodes for the
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different settings. The runtime functions do not need to keep track of an
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options state any more.
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Format of compiled patterns
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---------------------------
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The compiled form of a pattern is a vector of unsigned units (bytes in 8-bit
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mode, shorts in 16-bit mode, 32-bit words in 32-bit mode), containing items of
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variable length. The first unit in an item contains an opcode, and the length
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of the item is either implicit in the opcode or contained in the data that
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follows it.
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In many cases listed below, LINK_SIZE data values are specified for offsets
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within the compiled pattern. LINK_SIZE always specifies a number of bytes. The
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default value for LINK_SIZE is 2, but PCRE can be compiled to use 3-byte or
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4-byte values for these offsets, although this impairs the performance. (3-byte
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LINK_SIZE values are available only in 8-bit mode.) Specifing a LINK_SIZE
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larger than 2 is necessary only when patterns whose compiled length is greater
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than 64K are going to be processed. In this description, we assume the "normal"
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compilation options. Data values that are counts (e.g. quantifiers) are two
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bytes long in 8-bit mode (most significant byte first), or one unit in 16-bit
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and 32-bit modes.
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Opcodes with no following data
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------------------------------
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These items are all just one unit long
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OP_END end of pattern
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OP_ANY match any one character other than newline
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OP_ALLANY match any one character, including newline
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OP_ANYBYTE match any single unit, even in UTF-8/16 mode
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OP_SOD match start of data: \A
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OP_SOM, start of match (subject + offset): \G
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OP_SET_SOM, set start of match (\K)
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OP_CIRC ^ (start of data)
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OP_CIRCM ^ multiline mode (start of data or after newline)
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OP_NOT_WORD_BOUNDARY \W
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OP_WORD_BOUNDARY \w
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OP_NOT_DIGIT \D
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OP_DIGIT \d
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OP_NOT_HSPACE \H
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OP_HSPACE \h
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OP_NOT_WHITESPACE \S
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OP_WHITESPACE \s
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OP_NOT_VSPACE \V
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OP_VSPACE \v
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OP_NOT_WORDCHAR \W
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OP_WORDCHAR \w
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OP_EODN match end of data or newline at end: \Z
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OP_EOD match end of data: \z
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OP_DOLL $ (end of data, or before final newline)
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OP_DOLLM $ multiline mode (end of data or before newline)
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OP_EXTUNI match an extended Unicode grapheme cluster
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OP_ANYNL match any Unicode newline sequence
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OP_ASSERT_ACCEPT )
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OP_ACCEPT ) These are Perl 5.10's "backtracking control
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OP_COMMIT ) verbs". If OP_ACCEPT is inside capturing
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OP_FAIL ) parentheses, it may be preceded by one or more
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OP_PRUNE ) OP_CLOSE, each followed by a count that
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OP_SKIP ) indicates which parentheses must be closed.
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OP_THEN )
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OP_ASSERT_ACCEPT is used when (*ACCEPT) is encountered within an assertion.
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This ends the assertion, not the entire pattern match.
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Backtracking control verbs with optional data
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---------------------------------------------
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(*THEN) without an argument generates the opcode OP_THEN and no following data.
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OP_MARK is followed by the mark name, preceded by a one-unit length, and
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followed by a binary zero. For (*PRUNE), (*SKIP), and (*THEN) with arguments,
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the opcodes OP_PRUNE_ARG, OP_SKIP_ARG, and OP_THEN_ARG are used, with the name
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following in the same format as OP_MARK.
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Matching literal characters
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---------------------------
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The OP_CHAR opcode is followed by a single character that is to be matched
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casefully. For caseless matching, OP_CHARI is used. In UTF-8 or UTF-16 modes,
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the character may be more than one unit long. In UTF-32 mode, characters
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are always exactly one unit long.
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If there is only one character in a character class, OP_CHAR or OP_CHARI is
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used for a positive class, and OP_NOT or OP_NOTI for a negative one (that is,
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for something like [^a]).
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Repeating single characters
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---------------------------
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The common repeats (*, +, ?), when applied to a single character, use the
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following opcodes, which come in caseful and caseless versions:
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Caseful Caseless
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OP_STAR OP_STARI
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OP_MINSTAR OP_MINSTARI
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OP_POSSTAR OP_POSSTARI
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OP_PLUS OP_PLUSI
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OP_MINPLUS OP_MINPLUSI
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OP_POSPLUS OP_POSPLUSI
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OP_QUERY OP_QUERYI
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OP_MINQUERY OP_MINQUERYI
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OP_POSQUERY OP_POSQUERYI
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Each opcode is followed by the character that is to be repeated. In ASCII mode,
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these are two-unit items; in UTF-8 or UTF-16 modes, the length is variable; in
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UTF-32 mode these are one-unit items. Those with "MIN" in their names are the
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minimizing versions. Those with "POS" in their names are possessive versions.
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Other repeats make use of these opcodes:
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Caseful Caseless
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OP_UPTO OP_UPTOI
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OP_MINUPTO OP_MINUPTOI
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OP_POSUPTO OP_POSUPTOI
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OP_EXACT OP_EXACTI
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Each of these is followed by a count and then the repeated character. OP_UPTO
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matches from 0 to the given number. A repeat with a non-zero minimum and a
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fixed maximum is coded as an OP_EXACT followed by an OP_UPTO (or OP_MINUPTO or
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OPT_POSUPTO).
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Another set of matching repeating opcodes (called OP_NOTSTAR, OP_NOTSTARI,
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etc.) are used for repeated, negated, single-character classes such as [^a]*.
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The normal single-character opcodes (OP_STAR, etc.) are used for repeated
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positive single-character classes.
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Repeating character types
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-------------------------
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Repeats of things like \d are done exactly as for single characters, except
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that instead of a character, the opcode for the type is stored in the data
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unit. The opcodes are:
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OP_TYPESTAR
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OP_TYPEMINSTAR
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OP_TYPEPOSSTAR
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OP_TYPEPLUS
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OP_TYPEMINPLUS
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OP_TYPEPOSPLUS
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OP_TYPEQUERY
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OP_TYPEMINQUERY
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OP_TYPEPOSQUERY
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OP_TYPEUPTO
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OP_TYPEMINUPTO
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OP_TYPEPOSUPTO
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OP_TYPEEXACT
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Match by Unicode property
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-------------------------
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OP_PROP and OP_NOTPROP are used for positive and negative matches of a
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character by testing its Unicode property (the \p and \P escape sequences).
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Each is followed by two units that encode the desired property as a type and a
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value. The types are a set of #defines of the form PT_xxx, and the values are
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enumerations of the form ucp_xx, defined in the ucp.h source file. The value is
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relevant only for PT_GC (General Category), PT_PC (Particular Category), and
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PT_SC (Script).
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Repeats of these items use the OP_TYPESTAR etc. set of opcodes, followed by
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three units: OP_PROP or OP_NOTPROP, and then the desired property type and
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value.
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Character classes
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-----------------
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If there is only one character in a class, OP_CHAR or OP_CHARI is used for a
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positive class, and OP_NOT or OP_NOTI for a negative one (that is, for
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something like [^a]).
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A set of repeating opcodes (called OP_NOTSTAR etc.) are used for repeated,
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negated, single-character classes. The normal single-character opcodes
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(OP_STAR, etc.) are used for repeated positive single-character classes.
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When there is more than one character in a class, and all the code points are
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less than 256, OP_CLASS is used for a positive class, and OP_NCLASS for a
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negative one. In either case, the opcode is followed by a 32-byte (16-short,
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8-word) bit map containing a 1 bit for every character that is acceptable. The
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bits are counted from the least significant end of each unit. In caseless mode,
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bits for both cases are set.
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The reason for having both OP_CLASS and OP_NCLASS is so that, in UTF-8/16/32
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mode, subject characters with values greater than 255 can be handled correctly.
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For OP_CLASS they do not match, whereas for OP_NCLASS they do.
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For classes containing characters with values greater than 255 or that contain
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\p or \P, OP_XCLASS is used. It optionally uses a bit map if any code points
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are less than 256, followed by a list of pairs (for a range) and single
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characters. In caseless mode, both cases are explicitly listed.
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OP_XCLASS is followed by a unit containing flag bits: XCL_NOT indicates that
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this is a negative class, and XCL_MAP indicates that a bit map is present.
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There follows the bit map, if XCL_MAP is set, and then a sequence of items
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coded as follows:
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XCL_END marks the end of the list
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XCL_SINGLE one character follows
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XCL_RANGE two characters follow
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XCL_PROP a Unicode property (type, value) follows
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XCL_NOTPROP a Unicode property (type, value) follows
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If a range starts with a code point less than 256 and ends with one greater
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than 256, an XCL_RANGE item is used, without setting any bits in the bit map.
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This means that if no other items in the class set bits in the map, a map is
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not needed.
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Back references
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---------------
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OP_REF (caseful) or OP_REFI (caseless) is followed by a count containing the
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reference number if the reference is to a unique capturing group (either by
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number or by name). When named groups are used, there may be more than one
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group with the same name. In this case, a reference by name generates OP_DNREF
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or OP_DNREFI. These are followed by two counts: the index (not the byte offset)
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in the group name table of the first entry for the requred name, followed by
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the number of groups with the same name.
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Repeating character classes and back references
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-----------------------------------------------
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Single-character classes are handled specially (see above). This section
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applies to other classes and also to back references. In both cases, the repeat
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information follows the base item. The matching code looks at the following
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opcode to see if it is one of
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OP_CRSTAR
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OP_CRMINSTAR
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OP_CRPOSSTAR
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OP_CRPLUS
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OP_CRMINPLUS
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OP_CRPOSPLUS
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OP_CRQUERY
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OP_CRMINQUERY
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OP_CRPOSQUERY
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OP_CRRANGE
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OP_CRMINRANGE
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OP_CRPOSRANGE
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All but the last three are single-unit items, with no data. The others are
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followed by the minimum and maximum repeat counts.
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Brackets and alternation
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------------------------
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A pair of non-capturing round brackets is wrapped round each expression at
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compile time, so alternation always happens in the context of brackets.
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[Note for North Americans: "bracket" to some English speakers, including
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myself, can be round, square, curly, or pointy. Hence this usage rather than
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"parentheses".]
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Non-capturing brackets use the opcode OP_BRA. Originally PCRE was limited to 99
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capturing brackets and it used a different opcode for each one. From release
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3.5, the limit was removed by putting the bracket number into the data for
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higher-numbered brackets. From release 7.0 all capturing brackets are handled
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this way, using the single opcode OP_CBRA.
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A bracket opcode is followed by LINK_SIZE bytes which give the offset to the
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next alternative OP_ALT or, if there aren't any branches, to the matching
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OP_KET opcode. Each OP_ALT is followed by LINK_SIZE bytes giving the offset to
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the next one, or to the OP_KET opcode. For capturing brackets, the bracket
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number is a count that immediately follows the offset.
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OP_KET is used for subpatterns that do not repeat indefinitely, and OP_KETRMIN
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and OP_KETRMAX are used for indefinite repetitions, minimally or maximally
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respectively (see below for possessive repetitions). All three are followed by
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LINK_SIZE bytes giving (as a positive number) the offset back to the matching
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bracket opcode.
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If a subpattern is quantified such that it is permitted to match zero times, it
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is preceded by one of OP_BRAZERO, OP_BRAMINZERO, or OP_SKIPZERO. These are
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single-unit opcodes that tell the matcher that skipping the following
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subpattern entirely is a valid branch. In the case of the first two, not
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skipping the pattern is also valid (greedy and non-greedy). The third is used
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when a pattern has the quantifier {0,0}. It cannot be entirely discarded,
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because it may be called as a subroutine from elsewhere in the regex.
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A subpattern with an indefinite maximum repetition is replicated in the
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compiled data its minimum number of times (or once with OP_BRAZERO if the
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minimum is zero), with the final copy terminating with OP_KETRMIN or OP_KETRMAX
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as appropriate.
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A subpattern with a bounded maximum repetition is replicated in a nested
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fashion up to the maximum number of times, with OP_BRAZERO or OP_BRAMINZERO
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before each replication after the minimum, so that, for example, (abc){2,5} is
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compiled as (abc)(abc)((abc)((abc)(abc)?)?)?, except that each bracketed group
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has the same number.
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When a repeated subpattern has an unbounded upper limit, it is checked to see
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whether it could match an empty string. If this is the case, the opcode in the
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final replication is changed to OP_SBRA or OP_SCBRA. This tells the matcher
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that it needs to check for matching an empty string when it hits OP_KETRMIN or
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OP_KETRMAX, and if so, to break the loop.
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Possessive brackets
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-------------------
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When a repeated group (capturing or non-capturing) is marked as possessive by
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the "+" notation, e.g. (abc)++, different opcodes are used. Their names all
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have POS on the end, e.g. OP_BRAPOS instead of OP_BRA and OP_SCPBRPOS instead
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of OP_SCBRA. The end of such a group is marked by OP_KETRPOS. If the minimum
|
|
repetition is zero, the group is preceded by OP_BRAPOSZERO.
|
|
|
|
|
|
Once-only (atomic) groups
|
|
-------------------------
|
|
|
|
These are just like other subpatterns, but they start with the opcode
|
|
OP_ONCE or OP_ONCE_NC. The former is used when there are no capturing brackets
|
|
within the atomic group; the latter when there are. The distinction is needed
|
|
for when there is a backtrack to before the group - any captures within the
|
|
group must be reset, so it is necessary to retain backtracking points inside
|
|
the group even after it is complete in order to do this. When there are no
|
|
captures in an atomic group, all the backtracking can be discarded when it is
|
|
complete. This is more efficient, and also uses less stack.
|
|
|
|
The check for matching an empty string in an unbounded repeat is handled
|
|
entirely at runtime, so there are just these two opcodes for atomic groups.
|
|
|
|
|
|
Assertions
|
|
----------
|
|
|
|
Forward assertions are also just like other subpatterns, but starting with one
|
|
of the opcodes OP_ASSERT or OP_ASSERT_NOT. Backward assertions use the opcodes
|
|
OP_ASSERTBACK and OP_ASSERTBACK_NOT, and the first opcode inside the assertion
|
|
is OP_REVERSE, followed by a count of the number of characters to move back the
|
|
pointer in the subject string. In ASCII mode, the count is a number of units,
|
|
but in UTF-8/16 mode each character may occupy more than one unit; in UTF-32
|
|
mode each character occupies exactly one unit. A separate count is present in
|
|
each alternative of a lookbehind assertion, allowing them to have different
|
|
fixed lengths.
|
|
|
|
|
|
Conditional subpatterns
|
|
-----------------------
|
|
|
|
These are like other subpatterns, but they start with the opcode OP_COND, or
|
|
OP_SCOND for one that might match an empty string in an unbounded repeat. If
|
|
the condition is a back reference, this is stored at the start of the
|
|
subpattern using the opcode OP_CREF followed by a count containing the
|
|
reference number, provided that the reference is to a unique capturing group.
|
|
If the reference was by name and there is more than one group with that name,
|
|
OP_DNCREF is used instead. It is followed by two counts: the index in the group
|
|
names table, and the number of groups with the same name.
|
|
|
|
If the condition is "in recursion" (coded as "(?(R)"), or "in recursion of
|
|
group x" (coded as "(?(Rx)"), the group number is stored at the start of the
|
|
subpattern using the opcode OP_RREF (with a value of zero for "the whole
|
|
pattern") or OP_DNRREF (with data as for OP_DNCREF). For a DEFINE condition,
|
|
just the single unit OP_DEF is used (it has no associated data). Otherwise, a
|
|
conditional subpattern always starts with one of the assertions.
|
|
|
|
|
|
Recursion
|
|
---------
|
|
|
|
Recursion either matches the current regex, or some subexpression. The opcode
|
|
OP_RECURSE is followed by aLINK_SIZE value that is the offset to the starting
|
|
bracket from the start of the whole pattern. From release 6.5, OP_RECURSE is
|
|
automatically wrapped inside OP_ONCE brackets, because otherwise some patterns
|
|
broke it. OP_RECURSE is also used for "subroutine" calls, even though they are
|
|
not strictly a recursion.
|
|
|
|
|
|
Callout
|
|
-------
|
|
|
|
OP_CALLOUT is followed by one unit of data that holds a callout number in the
|
|
range 0 to 254 for manual callouts, or 255 for an automatic callout. In both
|
|
cases there follows a count giving the offset in the pattern string to the
|
|
start of the following item, and another count giving the length of this item.
|
|
These values make is possible for pcretest to output useful tracing information
|
|
using automatic callouts.
|
|
|
|
Philip Hazel
|
|
November 2013
|