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