1 |
Technical Notes about PCRE
|
2 |
--------------------------
|
3 |
|
4 |
These are very rough technical notes that record potentially useful information
|
5 |
about PCRE internals. For information about testing PCRE, see the pcretest
|
6 |
documentation and the comment at the head of the RunTest file.
|
7 |
|
8 |
|
9 |
Historical note 1
|
10 |
-----------------
|
11 |
|
12 |
Many years ago I implemented some regular expression functions to an algorithm
|
13 |
suggested by Martin Richards. These were not Unix-like in form, and were quite
|
14 |
restricted in what they could do by comparison with Perl. The interesting part
|
15 |
about the algorithm was that the amount of space required to hold the compiled
|
16 |
form of an expression was known in advance. The code to apply an expression did
|
17 |
not operate by backtracking, as the original Henry Spencer code and current
|
18 |
Perl code does, but instead checked all possibilities simultaneously by keeping
|
19 |
a list of current states and checking all of them as it advanced through the
|
20 |
subject string. In the terminology of Jeffrey Friedl's book, it was a "DFA
|
21 |
algorithm", though it was not a traditional Finite State Machine (FSM). When
|
22 |
the pattern was all used up, all remaining states were possible matches, and
|
23 |
the one matching the longest subset of the subject string was chosen. This did
|
24 |
not necessarily maximize the individual wild portions of the pattern, as is
|
25 |
expected in Unix and Perl-style regular expressions.
|
26 |
|
27 |
|
28 |
Historical note 2
|
29 |
-----------------
|
30 |
|
31 |
By contrast, the code originally written by Henry Spencer (which was
|
32 |
subsequently heavily modified for Perl) compiles the expression twice: once in
|
33 |
a dummy mode in order to find out how much store will be needed, and then for
|
34 |
real. (The Perl version probably doesn't do this any more; I'm talking about
|
35 |
the original library.) The execution function operates by backtracking and
|
36 |
maximizing (or, optionally, minimizing in Perl) the amount of the subject that
|
37 |
matches individual wild portions of the pattern. This is an "NFA algorithm" in
|
38 |
Friedl's terminology.
|
39 |
|
40 |
|
41 |
OK, here's the real stuff
|
42 |
-------------------------
|
43 |
|
44 |
For the set of functions that form the "basic" PCRE library (which are
|
45 |
unrelated to those mentioned above), I tried at first to invent an algorithm
|
46 |
that used an amount of store bounded by a multiple of the number of characters
|
47 |
in the pattern, to save on compiling time. However, because of the greater
|
48 |
complexity in Perl regular expressions, I couldn't do this. In any case, a
|
49 |
first pass through the pattern is helpful for other reasons.
|
50 |
|
51 |
|
52 |
Computing the memory requirement: how it was
|
53 |
--------------------------------------------
|
54 |
|
55 |
Up to and including release 6.7, PCRE worked by running a very degenerate first
|
56 |
pass to calculate a maximum store size, and then a second pass to do the real
|
57 |
compile - which might use a bit less than the predicted amount of memory. The
|
58 |
idea was that this would turn out faster than the Henry Spencer code because
|
59 |
the first pass is degenerate and the second pass can just store stuff straight
|
60 |
into the vector, which it knows is big enough.
|
61 |
|
62 |
|
63 |
Computing the memory requirement: how it is
|
64 |
-------------------------------------------
|
65 |
|
66 |
By the time I was working on a potential 6.8 release, the degenerate first pass
|
67 |
had become very complicated and hard to maintain. Indeed one of the early
|
68 |
things I did for 6.8 was to fix Yet Another Bug in the memory computation. Then
|
69 |
I had a flash of inspiration as to how I could run the real compile function in
|
70 |
a "fake" mode that enables it to compute how much memory it would need, while
|
71 |
actually only ever using a few hundred bytes of working memory, and without too
|
72 |
many tests of the mode that might slow it down. So I refactored the compiling
|
73 |
functions to work this way. This got rid of about 600 lines of source. It
|
74 |
should make future maintenance and development easier. As this was such a major
|
75 |
change, I never released 6.8, instead upping the number to 7.0 (other quite
|
76 |
major changes were also present in the 7.0 release).
|
77 |
|
78 |
A side effect of this work was that the previous limit of 200 on the nesting
|
79 |
depth of parentheses was removed. However, there is a downside: pcre_compile()
|
80 |
runs more slowly than before (30% or more, depending on the pattern) because it
|
81 |
is doing a full analysis of the pattern. My hope was that this would not be a
|
82 |
big issue, and in the event, nobody has commented on it.
|
83 |
|
84 |
|
85 |
Traditional matching function
|
86 |
-----------------------------
|
87 |
|
88 |
The "traditional", and original, matching function is called pcre_exec(), and
|
89 |
it implements an NFA algorithm, similar to the original Henry Spencer algorithm
|
90 |
and the way that Perl works. This is not surprising, since it is intended to be
|
91 |
as compatible with Perl as possible. This is the function most users of PCRE
|
92 |
will use most of the time. From release 8.20, if PCRE is compiled with
|
93 |
just-in-time (JIT) support, and studying a compiled pattern with JIT is
|
94 |
successful, the JIT code is run instead of the normal pcre_exec() code, but the
|
95 |
result is the same.
|
96 |
|
97 |
|
98 |
Supplementary matching function
|
99 |
-------------------------------
|
100 |
|
101 |
From PCRE 6.0, there is also a supplementary matching function called
|
102 |
pcre_dfa_exec(). This implements a DFA matching algorithm that searches
|
103 |
simultaneously for all possible matches that start at one point in the subject
|
104 |
string. (Going back to my roots: see Historical Note 1 above.) This function
|
105 |
intreprets the same compiled pattern data as pcre_exec(); however, not all the
|
106 |
facilities are available, and those that are do not always work in quite the
|
107 |
same way. See the user documentation for details.
|
108 |
|
109 |
The algorithm that is used for pcre_dfa_exec() is not a traditional FSM,
|
110 |
because it may have a number of states active at one time. More work would be
|
111 |
needed at compile time to produce a traditional FSM where only one state is
|
112 |
ever active at once. I believe some other regex matchers work this way.
|
113 |
|
114 |
|
115 |
Changeable options
|
116 |
------------------
|
117 |
|
118 |
The /i, /m, or /s options (PCRE_CASELESS, PCRE_MULTILINE, PCRE_DOTALL) may
|
119 |
change in the middle of patterns. From PCRE 8.13, their processing is handled
|
120 |
entirely at compile time by generating different opcodes for the different
|
121 |
settings. The runtime functions do not need to keep track of an options state
|
122 |
any more.
|
123 |
|
124 |
|
125 |
Format of compiled patterns
|
126 |
---------------------------
|
127 |
|
128 |
The compiled form of a pattern is a vector of bytes, containing items of
|
129 |
variable length. The first byte in an item is an opcode, and the length of the
|
130 |
item is either implicit in the opcode or contained in the data bytes that
|
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follow it.
|
132 |
|
133 |
In many cases below LINK_SIZE data values are specified for offsets within the
|
134 |
compiled pattern. The default value for LINK_SIZE is 2, but PCRE can be
|
135 |
compiled to use 3-byte or 4-byte values for these offsets (impairing the
|
136 |
performance). This is necessary only when patterns whose compiled length is
|
137 |
greater than 64K are going to be processed. In this description, we assume the
|
138 |
"normal" compilation options. Data values that are counts (e.g. for
|
139 |
quantifiers) are always just two bytes long.
|
140 |
|
141 |
Opcodes with no following data
|
142 |
------------------------------
|
143 |
|
144 |
These items are all just one byte long
|
145 |
|
146 |
OP_END end of pattern
|
147 |
OP_ANY match any one character other than newline
|
148 |
OP_ALLANY match any one character, including newline
|
149 |
OP_ANYBYTE match any single byte, even in UTF-8 mode
|
150 |
OP_SOD match start of data: \A
|
151 |
OP_SOM, start of match (subject + offset): \G
|
152 |
OP_SET_SOM, set start of match (\K)
|
153 |
OP_CIRC ^ (start of data)
|
154 |
OP_CIRCM ^ multiline mode (start of data or after newline)
|
155 |
OP_NOT_WORD_BOUNDARY \W
|
156 |
OP_WORD_BOUNDARY \w
|
157 |
OP_NOT_DIGIT \D
|
158 |
OP_DIGIT \d
|
159 |
OP_NOT_HSPACE \H
|
160 |
OP_HSPACE \h
|
161 |
OP_NOT_WHITESPACE \S
|
162 |
OP_WHITESPACE \s
|
163 |
OP_NOT_VSPACE \V
|
164 |
OP_VSPACE \v
|
165 |
OP_NOT_WORDCHAR \W
|
166 |
OP_WORDCHAR \w
|
167 |
OP_EODN match end of data or \n at end: \Z
|
168 |
OP_EOD match end of data: \z
|
169 |
OP_DOLL $ (end of data, or before final newline)
|
170 |
OP_DOLLM $ multiline mode (end of data or before newline)
|
171 |
OP_EXTUNI match an extended Unicode character
|
172 |
OP_ANYNL match any Unicode newline sequence
|
173 |
|
174 |
OP_ACCEPT ) These are Perl 5.10's "backtracking control
|
175 |
OP_COMMIT ) verbs". If OP_ACCEPT is inside capturing
|
176 |
OP_FAIL ) parentheses, it may be preceded by one or more
|
177 |
OP_PRUNE ) OP_CLOSE, followed by a 2-byte number,
|
178 |
OP_SKIP ) indicating which parentheses must be closed.
|
179 |
|
180 |
|
181 |
Backtracking control verbs with (optional) data
|
182 |
-----------------------------------------------
|
183 |
|
184 |
(*THEN) without an argument generates the opcode OP_THEN and no following data.
|
185 |
OP_MARK is followed by the mark name, preceded by a one-byte length, and
|
186 |
followed by a binary zero. For (*PRUNE), (*SKIP), and (*THEN) with arguments,
|
187 |
the opcodes OP_PRUNE_ARG, OP_SKIP_ARG, and OP_THEN_ARG are used, with the name
|
188 |
following in the same format.
|
189 |
|
190 |
|
191 |
Matching literal characters
|
192 |
---------------------------
|
193 |
|
194 |
The OP_CHAR opcode is followed by a single character that is to be matched
|
195 |
casefully. For caseless matching, OP_CHARI is used. In UTF-8 mode, the
|
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character may be more than one byte long. (Earlier versions of PCRE used
|
197 |
multi-character strings, but this was changed to allow some new features to be
|
198 |
added.)
|
199 |
|
200 |
|
201 |
Repeating single characters
|
202 |
---------------------------
|
203 |
|
204 |
The common repeats (*, +, ?) when applied to a single character use the
|
205 |
following opcodes, which come in caseful and caseless versions:
|
206 |
|
207 |
Caseful Caseless
|
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OP_STAR OP_STARI
|
209 |
OP_MINSTAR OP_MINSTARI
|
210 |
OP_POSSTAR OP_POSSTARI
|
211 |
OP_PLUS OP_PLUSI
|
212 |
OP_MINPLUS OP_MINPLUSI
|
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OP_POSPLUS OP_POSPLUSI
|
214 |
OP_QUERY OP_QUERYI
|
215 |
OP_MINQUERY OP_MINQUERYI
|
216 |
OP_POSQUERY OP_POSQUERYI
|
217 |
|
218 |
In ASCII mode, these are two-byte items; in UTF-8 mode, the length is variable.
|
219 |
Those with "MIN" in their name are the minimizing versions. Those with "POS" in
|
220 |
their names are possessive versions. Each is followed by the character that is
|
221 |
to be repeated. Other repeats make use of these opcodes:
|
222 |
|
223 |
Caseful Caseless
|
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OP_UPTO OP_UPTOI
|
225 |
OP_MINUPTO OP_MINUPTOI
|
226 |
OP_POSUPTO OP_POSUPTOI
|
227 |
OP_EXACT OP_EXACTI
|
228 |
|
229 |
Each of these is 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).
|
233 |
|
234 |
|
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Repeating character types
|
236 |
-------------------------
|
237 |
|
238 |
Repeats of things like \d are done exactly as for single characters, except
|
239 |
that instead of a character, the opcode for the type is stored in the data
|
240 |
byte. The opcodes are:
|
241 |
|
242 |
OP_TYPESTAR
|
243 |
OP_TYPEMINSTAR
|
244 |
OP_TYPEPOSSTAR
|
245 |
OP_TYPEPLUS
|
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OP_TYPEMINPLUS
|
247 |
OP_TYPEPOSPLUS
|
248 |
OP_TYPEQUERY
|
249 |
OP_TYPEMINQUERY
|
250 |
OP_TYPEPOSQUERY
|
251 |
OP_TYPEUPTO
|
252 |
OP_TYPEMINUPTO
|
253 |
OP_TYPEPOSUPTO
|
254 |
OP_TYPEEXACT
|
255 |
|
256 |
|
257 |
Match by Unicode property
|
258 |
-------------------------
|
259 |
|
260 |
OP_PROP and OP_NOTPROP are used for positive and negative matches of a
|
261 |
character by testing its Unicode property (the \p and \P escape sequences).
|
262 |
Each is followed by two bytes that encode the desired property as a type and a
|
263 |
value.
|
264 |
|
265 |
Repeats of these items use the OP_TYPESTAR etc. set of opcodes, followed by
|
266 |
three bytes: OP_PROP or OP_NOTPROP and then the desired property type and
|
267 |
value.
|
268 |
|
269 |
|
270 |
Character classes
|
271 |
-----------------
|
272 |
|
273 |
If there is only one character, OP_CHAR or OP_CHARI is used for a positive
|
274 |
class, and OP_NOT or OP_NOTI for a negative one (that is, for something like
|
275 |
[^a]). However, in UTF-8 mode, the use of OP_NOT[I] applies only to characters
|
276 |
with values < 128, because OP_NOT[I] is confined to single bytes.
|
277 |
|
278 |
Another set of 13 repeating opcodes (called OP_NOTSTAR etc.) are used for a
|
279 |
repeated, negated, single-character class. The normal single-character opcodes
|
280 |
(OP_STAR, etc.) are used for a repeated positive single-character class.
|
281 |
|
282 |
When there is more than one character in a class and all the characters are
|
283 |
less than 256, OP_CLASS is used for a positive class, and OP_NCLASS for a
|
284 |
negative one. In either case, the opcode is followed by a 32-byte bit map
|
285 |
containing a 1 bit for every character that is acceptable. The bits are counted
|
286 |
from the least significant end of each byte. In caseless mode, bits for both
|
287 |
cases are set.
|
288 |
|
289 |
The reason for having both OP_CLASS and OP_NCLASS is so that, in UTF-8 mode,
|
290 |
subject characters with values greater than 256 can be handled correctly. For
|
291 |
OP_CLASS they do not match, whereas for OP_NCLASS they do.
|
292 |
|
293 |
For classes containing characters with values > 255, OP_XCLASS is used. It
|
294 |
optionally uses a bit map (if any characters lie within it), followed by a list
|
295 |
of pairs (for a range) and single characters. In caseless mode, both cases are
|
296 |
explicitly listed. There is a flag character than indicates whether it is a
|
297 |
positive or a negative class.
|
298 |
|
299 |
|
300 |
Back references
|
301 |
---------------
|
302 |
|
303 |
OP_REF (caseful) or OP_REFI (caseless) is followed by two bytes containing the
|
304 |
reference number.
|
305 |
|
306 |
|
307 |
Repeating character classes and back references
|
308 |
-----------------------------------------------
|
309 |
|
310 |
Single-character classes are handled specially (see above). This section
|
311 |
applies to OP_CLASS and OP_REF[I]. In both cases, the repeat information
|
312 |
follows the base item. The matching code looks at the following opcode to see
|
313 |
if it is one of
|
314 |
|
315 |
OP_CRSTAR
|
316 |
OP_CRMINSTAR
|
317 |
OP_CRPLUS
|
318 |
OP_CRMINPLUS
|
319 |
OP_CRQUERY
|
320 |
OP_CRMINQUERY
|
321 |
OP_CRRANGE
|
322 |
OP_CRMINRANGE
|
323 |
|
324 |
All but the last two are just single-byte items. The others are followed by
|
325 |
four bytes of data, comprising the minimum and maximum repeat counts. There are
|
326 |
no special possessive opcodes for these repeats; a possessive repeat is
|
327 |
compiled into an atomic group.
|
328 |
|
329 |
|
330 |
Brackets and alternation
|
331 |
------------------------
|
332 |
|
333 |
A pair of non-capturing (round) brackets is wrapped round each expression at
|
334 |
compile time, so alternation always happens in the context of brackets.
|
335 |
|
336 |
[Note for North Americans: "bracket" to some English speakers, including
|
337 |
myself, can be round, square, curly, or pointy. Hence this usage.]
|
338 |
|
339 |
Non-capturing brackets use the opcode OP_BRA. Originally PCRE was limited to 99
|
340 |
capturing brackets and it used a different opcode for each one. From release
|
341 |
3.5, the limit was removed by putting the bracket number into the data for
|
342 |
higher-numbered brackets. From release 7.0 all capturing brackets are handled
|
343 |
this way, using the single opcode OP_CBRA.
|
344 |
|
345 |
A bracket opcode is followed by LINK_SIZE bytes which give the offset to the
|
346 |
next alternative OP_ALT or, if there aren't any branches, to the matching
|
347 |
OP_KET opcode. Each OP_ALT is followed by LINK_SIZE bytes giving the offset to
|
348 |
the next one, or to the OP_KET opcode. For capturing brackets, the bracket
|
349 |
number immediately follows the offset, always as a 2-byte item.
|
350 |
|
351 |
OP_KET is used for subpatterns that do not repeat indefinitely, while
|
352 |
OP_KETRMIN and OP_KETRMAX are used for indefinite repetitions, minimally or
|
353 |
maximally respectively (see below for possessive repetitions). All three are
|
354 |
followed by LINK_SIZE bytes giving (as a positive number) the offset back to
|
355 |
the matching bracket opcode.
|
356 |
|
357 |
If a subpattern is quantified such that it is permitted to match zero times, it
|
358 |
is preceded by one of OP_BRAZERO, OP_BRAMINZERO, or OP_SKIPZERO. These are
|
359 |
single-byte opcodes that tell the matcher that skipping the following
|
360 |
subpattern entirely is a valid branch. In the case of the first two, not
|
361 |
skipping the pattern is also valid (greedy and non-greedy). The third is used
|
362 |
when a pattern has the quantifier {0,0}. It cannot be entirely discarded,
|
363 |
because it may be called as a subroutine from elsewhere in the regex.
|
364 |
|
365 |
A subpattern with an indefinite maximum repetition is replicated in the
|
366 |
compiled data its minimum number of times (or once with OP_BRAZERO if the
|
367 |
minimum is zero), with the final copy terminating with OP_KETRMIN or OP_KETRMAX
|
368 |
as appropriate.
|
369 |
|
370 |
A subpattern with a bounded maximum repetition is replicated in a nested
|
371 |
fashion up to the maximum number of times, with OP_BRAZERO or OP_BRAMINZERO
|
372 |
before each replication after the minimum, so that, for example, (abc){2,5} is
|
373 |
compiled as (abc)(abc)((abc)((abc)(abc)?)?)?, except that each bracketed group
|
374 |
has the same number.
|
375 |
|
376 |
When a repeated subpattern has an unbounded upper limit, it is checked to see
|
377 |
whether it could match an empty string. If this is the case, the opcode in the
|
378 |
final replication is changed to OP_SBRA or OP_SCBRA. This tells the matcher
|
379 |
that it needs to check for matching an empty string when it hits OP_KETRMIN or
|
380 |
OP_KETRMAX, and if so, to break the loop.
|
381 |
|
382 |
Possessive brackets
|
383 |
-------------------
|
384 |
|
385 |
When a repeated group (capturing or non-capturing) is marked as possessive by
|
386 |
the "+" notation, e.g. (abc)++, different opcodes are used. Their names all
|
387 |
have POS on the end, e.g. OP_BRAPOS instead of OP_BRA and OP_SCPBRPOS instead
|
388 |
of OP_SCBRA. The end of such a group is marked by OP_KETRPOS. If the minimum
|
389 |
repetition is zero, the group is preceded by OP_BRAPOSZERO.
|
390 |
|
391 |
|
392 |
Assertions
|
393 |
----------
|
394 |
|
395 |
Forward assertions are just like other subpatterns, but starting with one of
|
396 |
the opcodes OP_ASSERT or OP_ASSERT_NOT. Backward assertions use the opcodes
|
397 |
OP_ASSERTBACK and OP_ASSERTBACK_NOT, and the first opcode inside the assertion
|
398 |
is OP_REVERSE, followed by a two byte count of the number of characters to move
|
399 |
back the pointer in the subject string. When operating in UTF-8 mode, the count
|
400 |
is a character count rather than a byte count. A separate count is present in
|
401 |
each alternative of a lookbehind assertion, allowing them to have different
|
402 |
fixed lengths.
|
403 |
|
404 |
|
405 |
Once-only (atomic) subpatterns
|
406 |
------------------------------
|
407 |
|
408 |
These are also just like other subpatterns, but they start with the opcode
|
409 |
OP_ONCE. The check for matching an empty string in an unbounded repeat is
|
410 |
handled entirely at runtime, so there is just this one opcode.
|
411 |
|
412 |
|
413 |
Conditional subpatterns
|
414 |
-----------------------
|
415 |
|
416 |
These are like other subpatterns, but they start with the opcode OP_COND, or
|
417 |
OP_SCOND for one that might match an empty string in an unbounded repeat. If
|
418 |
the condition is a back reference, this is stored at the start of the
|
419 |
subpattern using the opcode OP_CREF followed by two bytes containing the
|
420 |
reference number. OP_NCREF is used instead if the reference was generated by
|
421 |
name (so that the runtime code knows to check for duplicate names).
|
422 |
|
423 |
If the condition is "in recursion" (coded as "(?(R)"), or "in recursion of
|
424 |
group x" (coded as "(?(Rx)"), the group number is stored at the start of the
|
425 |
subpattern using the opcode OP_RREF or OP_NRREF (cf OP_NCREF), and a value of
|
426 |
zero for "the whole pattern". For a DEFINE condition, just the single byte
|
427 |
OP_DEF is used (it has no associated data). Otherwise, a conditional subpattern
|
428 |
always starts with one of the assertions.
|
429 |
|
430 |
|
431 |
Recursion
|
432 |
---------
|
433 |
|
434 |
Recursion either matches the current regex, or some subexpression. The opcode
|
435 |
OP_RECURSE is followed by an value which is the offset to the starting bracket
|
436 |
from the start of the whole pattern. From release 6.5, OP_RECURSE is
|
437 |
automatically wrapped inside OP_ONCE brackets (because otherwise some patterns
|
438 |
broke it). OP_RECURSE is also used for "subroutine" calls, even though they
|
439 |
are not strictly a recursion.
|
440 |
|
441 |
|
442 |
Callout
|
443 |
-------
|
444 |
|
445 |
OP_CALLOUT is followed by one byte of data that holds a callout number in the
|
446 |
range 0 to 254 for manual callouts, or 255 for an automatic callout. In both
|
447 |
cases there follows a two-byte value giving the offset in the pattern to the
|
448 |
start of the following item, and another two-byte item giving the length of the
|
449 |
next item.
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|
451 |
|
452 |
Philip Hazel
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October 2011
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