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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. |
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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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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 re-factored 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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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. |
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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. |
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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 bytes, containing items of |
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variable length. The first byte in an item is an opcode, and the length of the |
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item is either implicit in the opcode or contained in the data bytes that |
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follow it. |
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In many cases below LINK_SIZE data values are specified for offsets within the |
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compiled pattern. The default value for LINK_SIZE is 2, but PCRE can be |
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compiled to use 3-byte or 4-byte values for these offsets (impairing the |
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performance). This is necessary only when patterns whose compiled length is |
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greater than 64K are going to be processed. In this description, we assume the |
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"normal" compilation options. Data values that are counts (e.g. for |
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quantifiers) are always just two bytes long. |
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A list of the opcodes follows: |
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Opcodes with no following data |
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------------------------------ |
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These items are all just one byte 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 byte, even in UTF-8 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, or after \n in multiline) |
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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 \n 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 \n in multiline) |
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OP_EXTUNI match an extended Unicode character |
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OP_ANYNL match any Unicode newline sequence |
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OP_ACCEPT ) These are Perl 5.10's "backtracking |
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OP_COMMIT ) control verbs". If OP_ACCEPT is inside |
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OP_FAIL ) capturing parentheses, it may be preceded |
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OP_PRUNE ) by one or more OP_CLOSE, followed by a 2-byte |
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OP_SKIP ) number, indicating which parentheses must be |
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OP_THEN ) closed. |
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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: |
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OP_STAR |
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OP_MINSTAR |
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OP_POSSTAR |
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OP_PLUS |
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OP_MINPLUS |
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OP_POSPLUS |
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OP_QUERY |
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OP_MINQUERY |
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OP_POSQUERY |
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In ASCII mode, these are two-byte items; in UTF-8 mode, the length is variable. |
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Those with "MIN" in their name are the minimizing versions. Those with "POS" in |
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their names are possessive versions. Each is followed by the character that is |
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to be repeated. Other repeats make use of |
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OP_UPTO |
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OP_MINUPTO |
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OP_POSUPTO |
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OP_EXACT |
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which are followed by a two-byte count (most significant first) and the |
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repeated character. OP_UPTO matches from 0 to the given number. A repeat with a |
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non-zero minimum and a fixed maximum is coded as an OP_EXACT followed by an |
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OP_UPTO (or OP_MINUPTO or OPT_POSUPTO). |
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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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byte. 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 bytes that encode the desired property as a type and a |
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value. |
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|
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Repeats of these items use the OP_TYPESTAR etc. set of opcodes, followed by |
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three bytes: OP_PROP or OP_NOTPROP and then the desired property type and |
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value. |
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|
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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_CHARNC is used. In UTF-8 mode, the |
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character may be more than one byte long. (Earlier versions of PCRE used |
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multi-character strings, but this was changed to allow some new features to be |
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added.) |
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Character classes |
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----------------- |
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If there is only one character, OP_CHAR or OP_CHARNC is used for a positive |
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class, and OP_NOT for a negative one (that is, for something like [^a]). |
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However, in UTF-8 mode, the use of OP_NOT applies only to characters with |
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values < 128, because OP_NOT is confined to single bytes. |
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Another set of repeating opcodes (OP_NOTSTAR etc.) are used for a repeated, |
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negated, single-character class. The normal ones (OP_STAR etc.) are used for a |
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repeated positive single-character class. |
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When there's more than one character in a class and all the characters are less |
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than 256, OP_CLASS is used for a positive class, and OP_NCLASS for a negative |
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one. In either case, the opcode is followed by a 32-byte bit map containing a 1 |
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bit for every character that is acceptable. The bits are counted from the least |
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significant end of each byte. |
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The reason for having both OP_CLASS and OP_NCLASS is so that, in UTF-8 mode, |
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subject characters with values greater than 256 can be handled correctly. For |
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OP_CLASS they don't match, whereas for OP_NCLASS they do. |
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For classes containing characters with values > 255, OP_XCLASS is used. It |
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optionally uses a bit map (if any characters lie within it), followed by a list |
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of pairs and single characters. There is a flag character than indicates |
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whether it's a positive or a negative class. |
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|
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Back references |
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--------------- |
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OP_REF is followed by two bytes containing the reference number. |
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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 OP_CLASS and OP_REF. In both cases, the repeat information follows |
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the base item. The matching code looks at the following opcode to see if it is |
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one of |
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|
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OP_CRSTAR |
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OP_CRMINSTAR |
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OP_CRPLUS |
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OP_CRMINPLUS |
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OP_CRQUERY |
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OP_CRMINQUERY |
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OP_CRRANGE |
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OP_CRMINRANGE |
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All but the last two are just single-byte items. The others are followed by |
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four bytes of data, comprising the minimum and maximum repeat counts. There are |
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no special possessive opcodes for these repeats; a possessive repeat is |
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compiled into an atomic group. |
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|
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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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|
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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.] |
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|
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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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|
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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 immediately follows the offset, always as a 2-byte item. |
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|
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OP_KET is used for subpatterns that do not repeat indefinitely, while |
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OP_KETRMIN and OP_KETRMAX are used for indefinite repetitions, minimally or |
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maximally respectively. All three are followed by LINK_SIZE bytes giving (as a |
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positive number) the offset back to the matching bracket opcode. |
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|
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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 |
| 324 |
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single-byte opcodes that tell the matcher that skipping the following |
| 325 |
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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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41 |
|
| 330 |
|
|
A subpattern with an indefinite maximum repetition is replicated in the |
| 331 |
nigel |
75 |
compiled data its minimum number of times (or once with OP_BRAZERO if the |
| 332 |
|
|
minimum is zero), with the final copy terminating with OP_KETRMIN or OP_KETRMAX |
| 333 |
|
|
as appropriate. |
| 334 |
nigel |
41 |
|
| 335 |
|
|
A subpattern with a bounded maximum repetition is replicated in a nested |
| 336 |
nigel |
75 |
fashion up to the maximum number of times, with OP_BRAZERO or OP_BRAMINZERO |
| 337 |
|
|
before each replication after the minimum, so that, for example, (abc){2,5} is |
| 338 |
nigel |
93 |
compiled as (abc)(abc)((abc)((abc)(abc)?)?)?, except that each bracketed group |
| 339 |
|
|
has the same number. |
| 340 |
nigel |
41 |
|
| 341 |
nigel |
93 |
When a repeated subpattern has an unbounded upper limit, it is checked to see |
| 342 |
|
|
whether it could match an empty string. If this is the case, the opcode in the |
| 343 |
|
|
final replication is changed to OP_SBRA or OP_SCBRA. This tells the matcher |
| 344 |
|
|
that it needs to check for matching an empty string when it hits OP_KETRMIN or |
| 345 |
|
|
OP_KETRMAX, and if so, to break the loop. |
| 346 |
nigel |
41 |
|
| 347 |
nigel |
93 |
|
| 348 |
nigel |
41 |
Assertions |
| 349 |
|
|
---------- |
| 350 |
|
|
|
| 351 |
|
|
Forward assertions are just like other subpatterns, but starting with one of |
| 352 |
|
|
the opcodes OP_ASSERT or OP_ASSERT_NOT. Backward assertions use the opcodes |
| 353 |
|
|
OP_ASSERTBACK and OP_ASSERTBACK_NOT, and the first opcode inside the assertion |
| 354 |
|
|
is OP_REVERSE, followed by a two byte count of the number of characters to move |
| 355 |
nigel |
49 |
back the pointer in the subject string. When operating in UTF-8 mode, the count |
| 356 |
|
|
is a character count rather than a byte count. A separate count is present in |
| 357 |
|
|
each alternative of a lookbehind assertion, allowing them to have different |
| 358 |
|
|
fixed lengths. |
| 359 |
nigel |
41 |
|
| 360 |
|
|
|
| 361 |
nigel |
93 |
Once-only (atomic) subpatterns |
| 362 |
|
|
------------------------------ |
| 363 |
nigel |
41 |
|
| 364 |
|
|
These are also just like other subpatterns, but they start with the opcode |
| 365 |
nigel |
93 |
OP_ONCE. The check for matching an empty string in an unbounded repeat is |
| 366 |
|
|
handled entirely at runtime, so there is just this one opcode. |
| 367 |
nigel |
41 |
|
| 368 |
|
|
|
| 369 |
|
|
Conditional subpatterns |
| 370 |
|
|
----------------------- |
| 371 |
|
|
|
| 372 |
nigel |
93 |
These are like other subpatterns, but they start with the opcode OP_COND, or |
| 373 |
|
|
OP_SCOND for one that might match an empty string in an unbounded repeat. If |
| 374 |
nigel |
41 |
the condition is a back reference, this is stored at the start of the |
| 375 |
nigel |
53 |
subpattern using the opcode OP_CREF followed by two bytes containing the |
| 376 |
nigel |
93 |
reference number. If the condition is "in recursion" (coded as "(?(R)"), or "in |
| 377 |
|
|
recursion of group x" (coded as "(?(Rx)"), the group number is stored at the |
| 378 |
|
|
start of the subpattern using the opcode OP_RREF, and a value of zero for "the |
| 379 |
|
|
whole pattern". For a DEFINE condition, just the single byte OP_DEF is used (it |
| 380 |
|
|
has no associated data). Otherwise, a conditional subpattern always starts with |
| 381 |
|
|
one of the assertions. |
| 382 |
nigel |
41 |
|
| 383 |
|
|
|
| 384 |
nigel |
71 |
Recursion |
| 385 |
|
|
--------- |
| 386 |
|
|
|
| 387 |
|
|
Recursion either matches the current regex, or some subexpression. The opcode |
| 388 |
|
|
OP_RECURSE is followed by an value which is the offset to the starting bracket |
| 389 |
nigel |
87 |
from the start of the whole pattern. From release 6.5, OP_RECURSE is |
| 390 |
|
|
automatically wrapped inside OP_ONCE brackets (because otherwise some patterns |
| 391 |
|
|
broke it). OP_RECURSE is also used for "subroutine" calls, even though they |
| 392 |
|
|
are not strictly a recursion. |
| 393 |
nigel |
71 |
|
| 394 |
|
|
|
| 395 |
|
|
Callout |
| 396 |
|
|
------- |
| 397 |
|
|
|
| 398 |
nigel |
75 |
OP_CALLOUT is followed by one byte of data that holds a callout number in the |
| 399 |
|
|
range 0 to 254 for manual callouts, or 255 for an automatic callout. In both |
| 400 |
|
|
cases there follows a two-byte value giving the offset in the pattern to the |
| 401 |
|
|
start of the following item, and another two-byte item giving the length of the |
| 402 |
|
|
next item. |
| 403 |
nigel |
71 |
|
| 404 |
|
|
|
| 405 |
nigel |
41 |
Changing options |
| 406 |
|
|
---------------- |
| 407 |
|
|
|
| 408 |
nigel |
63 |
If any of the /i, /m, or /s options are changed within a pattern, an OP_OPT |
| 409 |
|
|
opcode is compiled, followed by one byte containing the new settings of these |
| 410 |
|
|
flags. If there are several alternatives, there is an occurrence of OP_OPT at |
| 411 |
|
|
the start of all those following the first options change, to set appropriate |
| 412 |
|
|
options for the start of the alternative. Immediately after the end of the |
| 413 |
|
|
group there is another such item to reset the flags to their previous values. A |
| 414 |
|
|
change of flag right at the very start of the pattern can be handled entirely |
| 415 |
|
|
at compile time, and so does not cause anything to be put into the compiled |
| 416 |
|
|
data. |
| 417 |
nigel |
41 |
|
| 418 |
|
|
Philip Hazel |
| 419 |
ph10 |
456 |
October 2009 |