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Technical Notes about PCRE |
Technical Notes about PCRE |
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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 |
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 |
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 |
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 |
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 |
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 Henry Spencer and Perl code does, but |
not operate by backtracking, as the original Henry Spencer code and current |
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instead checked all possibilities simultaneously by keeping a list of current |
Perl code does, but instead checked all possibilities simultaneously by keeping |
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states and checking all of them as it advanced through the subject string. (In |
a list of current states and checking all of them as it advanced through the |
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the terminology of Jeffrey Friedl's book, it was a "DFA algorithm".) When the |
subject string. In the terminology of Jeffrey Friedl's book, it was a "DFA |
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pattern was all used up, all remaining states were possible matches, and the |
algorithm". When the pattern was all used up, all remaining states were |
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one matching the longest subset of the subject string was chosen. This did not |
possible matches, and the one matching the longest subset of the subject string |
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necessarily maximize the individual wild portions of the pattern, as is |
was chosen. This did not necessarily maximize the individual wild portions of |
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expected in Unix and Perl-style regular expressions. |
the pattern, as is 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 and subsequently |
By contrast, the code originally written by Henry Spencer and subsequently |
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heavily modified for Perl actually compiles the expression twice: once in a |
heavily modified for Perl actually compiles the expression twice: once in a |
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individual wild portions of the pattern. This is an "NFA algorithm" in Friedl's |
individual wild portions of the pattern. This is an "NFA algorithm" in Friedl's |
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terminology. |
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 forms PCRE (which are unrelated to those |
For the set of functions that forms PCRE (which are unrelated to those |
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mentioned above), I tried at first to invent an algorithm that used an amount |
mentioned above), I tried at first to invent an algorithm that used an amount |
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of store bounded by a multiple of the number of characters in the pattern, to |
of store bounded by a multiple of the number of characters in the pattern, to |
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save on compiling time. However, because of the greater complexity in Perl |
save on compiling time. However, because of the greater complexity in Perl |
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regular expressions, I couldn't do this. In any case, a first pass through the |
regular expressions, I couldn't do this. In any case, a first pass through the |
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pattern is needed, in order to find internal flag settings like (?i) at top |
pattern is needed, for a number of reasons. PCRE works by running a very |
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level. So PCRE works by running a very degenerate first pass to calculate a |
degenerate first pass to calculate a maximum store size, and then a second pass |
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maximum store size, and then a second pass to do the real compile - which may |
to do the real compile - which may use a bit less than the predicted amount of |
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use a bit less than the predicted amount of store. The idea is that this is |
store. The idea is that this is going to turn out faster because the first pass |
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going to turn out faster because the first pass is degenerate and the second |
is degenerate and the second pass can just store stuff straight into the |
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pass can just store stuff straight into the vector. It does make the compiling |
vector. It does make the compiling functions bigger, of course, but they have |
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functions bigger, of course, but they have got quite big anyway to handle all |
got quite big anyway to handle all the Perl stuff. |
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the Perl stuff. |
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The compiled form of a pattern is a vector of bytes, containing items of |
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 |
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 which |
item is either implicit in the opcode or contained in the data bytes that |
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follow it. A list of all the opcodes follows: |
follow it. |
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In many cases below "two-byte" data values are specified. This is in fact just |
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a default. PCRE can be compiled to use 3-byte or 4-byte values (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. |
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A list of all the opcodes follows: |
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Opcodes with no following data |
Opcodes with no following data |
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------------------------------ |
------------------------------ |
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OP_END end of pattern |
OP_END end of pattern |
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OP_ANY match any character |
OP_ANY match any character |
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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 |
OP_SOD match start of data: \A |
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OP_SOM, start of match (subject + offset): \G |
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OP_CIRC ^ (start of data, or after \n in multiline) |
OP_CIRC ^ (start of data, or after \n in multiline) |
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OP_NOT_WORD_BOUNDARY \W |
OP_NOT_WORD_BOUNDARY \W |
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OP_WORD_BOUNDARY \w |
OP_WORD_BOUNDARY \w |
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OP_EODN match end of data or \n at end: \Z |
OP_EODN match end of data or \n at end: \Z |
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OP_EOD match end of data: \z |
OP_EOD match end of data: \z |
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OP_DOLL $ (end of data, or before \n in multiline) |
OP_DOLL $ (end of data, or before \n in multiline) |
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OP_RECURSE match the pattern recursively |
OP_EXTUNI match an extended Unicode character |
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Repeating single characters |
Repeating single characters |
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The common repeats (*, +, ?) when applied to a single character appear as |
The common repeats (*, +, ?) when applied to a single character use the |
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two-byte items using the following opcodes: |
following opcodes: |
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OP_STAR |
OP_STAR |
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OP_MINSTAR |
OP_MINSTAR |
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OP_QUERY |
OP_QUERY |
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OP_MINQUERY |
OP_MINQUERY |
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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. Each is followed by |
Those with "MIN" in their name are the minimizing versions. Each is followed by |
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the character that is to be repeated. Other repeats make use of |
the character that is to be repeated. Other repeats make use of |
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OP_TYPEEXACT |
OP_TYPEEXACT |
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Matching a character string |
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 a single byte that encodes the desired property value. |
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Repeats of these items use the OP_TYPESTAR etc. set of opcodes, followed by two |
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bytes: OP_PROP or OP_NOTPROP and then the desired property value. |
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Matching literal characters |
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--------------------------- |
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The OP_CHARS opcode is followed by a one-byte count and then that number of |
The OP_CHAR opcode is followed by a single character that is to be matched |
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characters. If there are more than 255 characters in sequence, successive |
casefully. For caseless matching, OP_CHARNC is used. In UTF-8 mode, the |
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instances of OP_CHARS are used. |
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 |
Character classes |
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----------------- |
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OP_CLASS is used for a character class, provided there are at least two |
If there is only one character, OP_CHAR or OP_CHARNC is used for a positive |
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characters in the class. If there is only one character, OP_CHARS is used for a |
class, and OP_NOT for a negative one (that is, for something like [^a]). |
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positive class, and OP_NOT for a negative one (that is, for something like |
However, in UTF-8 mode, the use of OP_NOT applies only to characters with |
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[^a]). Another set of repeating opcodes (OP_NOTSTAR etc.) are used for a |
values < 128, because OP_NOT is confined to single bytes. |
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repeated, negated, single-character class. The normal ones (OP_STAR etc.) are |
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used for a repeated positive single-character class. |
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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OP_CLASS is followed by a 32-byte bit map containing a 1 bit for every |
repeated positive single-character class. |
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character that is acceptable. The bits are counted from the least significant |
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end of each byte. |
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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Back references |
Back references |
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minimal changes.) |
minimal changes.) |
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A bracket opcode is followed by two bytes which give the offset to the next |
A bracket opcode is followed by two bytes which give the offset to the next |
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alternative OP_ALT or, if there aren't any branches, to the matching KET |
alternative OP_ALT or, if there aren't any branches, to the matching OP_KET |
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opcode. Each OP_ALT is followed by two bytes giving the offset to the next one, |
opcode. Each OP_ALT is followed by two bytes giving the offset to the next one, |
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or to the KET opcode. |
or to the OP_KET opcode. |
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OP_KET is used for subpatterns that do not repeat indefinitely, while |
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 |
OP_KETRMIN and OP_KETRMAX are used for indefinite repetitions, minimally or |
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maximally respectively. All three are followed by two bytes giving (as a |
maximally respectively. All three are followed by two bytes giving (as a |
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positive number) the offset back to the matching BRA opcode. |
positive number) the offset back to the matching OP_BRA opcode. |
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If a subpattern is quantified such that it is permitted to match zero times, it |
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 or OP_BRAMINZERO. These are single-byte |
is preceded by one of OP_BRAZERO or OP_BRAMINZERO. These are single-byte |
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valid branch. |
valid branch. |
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A subpattern with an indefinite maximum repetition is replicated in the |
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 a BRAZERO if the |
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 a KETRMIN or KETRMAX as |
minimum is zero), with the final copy terminating with OP_KETRMIN or OP_KETRMAX |
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appropriate. |
as appropriate. |
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A subpattern with a bounded maximum repetition is replicated in a nested |
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 BRAZERO or BRAMINZERO before |
fashion up to the maximum number of times, with OP_BRAZERO or OP_BRAMINZERO |
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each replication after the minimum, so that, for example, (abc){2,5} is |
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)?)?)?. The 99 and 200 bracket limits do |
compiled as (abc)(abc)((abc)((abc)(abc)?)?)?. |
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not apply to these internally generated brackets. |
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Assertions |
Assertions |
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These are like other subpatterns, but they start with the opcode OP_COND. If |
These are like other subpatterns, but they start with the opcode OP_COND. If |
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the condition is a back reference, this is stored at the start of the |
the condition is a back reference, this is stored at the start of the |
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subpattern using the opcode OP_CREF followed by two bytes containing the |
subpattern using the opcode OP_CREF followed by two bytes containing the |
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reference number. Otherwise, a conditional subpattern will always start with |
reference number. If the condition is "in recursion" (coded as "(?(R)"), the |
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one of the assertions. |
same scheme is used, with a "reference number" of 0xffff. Otherwise, a |
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conditional subpattern always starts with one of the assertions. |
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Recursion |
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--------- |
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Recursion either matches the current regex, or some subexpression. The opcode |
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OP_RECURSE is followed by an value which is the offset to the starting bracket |
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from the start of the whole pattern. |
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Callout |
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------- |
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OP_CALLOUT is followed by one byte of data that holds a callout number in the |
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range 0 to 254 for manual callouts, or 255 for an automatic callout. In both |
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cases there follows a two-byte value giving the offset in the pattern to the |
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start of the following item, and another two-byte item giving the length of the |
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next item. |
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Changing options |
Changing options |
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---------------- |
---------------- |
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If any of the /i, /m, or /s options are changed within a parenthesized group, |
If any of the /i, /m, or /s options are changed within a pattern, an OP_OPT |
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an OP_OPT opcode is compiled, followed by one byte containing the new settings |
opcode is compiled, followed by one byte containing the new settings of these |
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of these flags. If there are several alternatives in a group, there is an |
flags. If there are several alternatives, there is an occurrence of OP_OPT at |
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occurrence of OP_OPT at the start of all those following the first options |
the start of all those following the first options change, to set appropriate |
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change, to set appropriate options for the start of the alternative. |
options for the start of the alternative. Immediately after the end of the |
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Immediately after the end of the group there is another such item to reset the |
group there is another such item to reset the flags to their previous values. A |
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flags to their previous values. Other changes of flag within the pattern can be |
change of flag right at the very start of the pattern can be handled entirely |
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handled entirely at compile time, and so do not cause anything to be put into |
at compile time, and so does not cause anything to be put into the compiled |
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the compiled data. |
data. |
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Philip Hazel |
Philip Hazel |
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August 2001 |
September 2004 |