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Revision 181 - (hide annotations) (download)
Wed Jun 13 14:55:18 2007 UTC (5 years, 11 months ago) by ph10
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Documentation update preparatory to release.

1 nigel 41 Technical Notes about PCRE
2     --------------------------
3    
4 nigel 91 These are very rough technical notes that record potentially useful information
5     about PCRE internals.
6    
7 nigel 75 Historical note 1
8     -----------------
9    
10 nigel 41 Many years ago I implemented some regular expression functions to an algorithm
11     suggested by Martin Richards. These were not Unix-like in form, and were quite
12     restricted in what they could do by comparison with Perl. The interesting part
13     about the algorithm was that the amount of space required to hold the compiled
14     form of an expression was known in advance. The code to apply an expression did
15 nigel 63 not operate by backtracking, as the original Henry Spencer code and current
16     Perl code does, but instead checked all possibilities simultaneously by keeping
17     a list of current states and checking all of them as it advanced through the
18 nigel 75 subject string. In the terminology of Jeffrey Friedl's book, it was a "DFA
19 nigel 93 algorithm", though it was not a traditional Finite State Machine (FSM). When
20     the pattern was all used up, all remaining states were possible matches, and
21     the one matching the longest subset of the subject string was chosen. This did
22     not necessarily maximize the individual wild portions of the pattern, as is
23     expected in Unix and Perl-style regular expressions.
24 nigel 41
25 nigel 75 Historical note 2
26     -----------------
27    
28 nigel 91 By contrast, the code originally written by Henry Spencer (which was
29     subsequently heavily modified for Perl) compiles the expression twice: once in
30     a dummy mode in order to find out how much store will be needed, and then for
31     real. (The Perl version probably doesn't do this any more; I'm talking about
32     the original library.) The execution function operates by backtracking and
33     maximizing (or, optionally, minimizing in Perl) the amount of the subject that
34     matches individual wild portions of the pattern. This is an "NFA algorithm" in
35     Friedl's terminology.
36 nigel 41
37 nigel 75 OK, here's the real stuff
38     -------------------------
39    
40 nigel 77 For the set of functions that form the "basic" PCRE library (which are
41     unrelated to those mentioned above), I tried at first to invent an algorithm
42     that used an amount of store bounded by a multiple of the number of characters
43     in the pattern, to save on compiling time. However, because of the greater
44     complexity in Perl regular expressions, I couldn't do this. In any case, a
45 nigel 93 first pass through the pattern is helpful for other reasons.
46 nigel 41
47 nigel 93 Computing the memory requirement: how it was
48     --------------------------------------------
49    
50     Up to and including release 6.7, PCRE worked by running a very degenerate first
51     pass to calculate a maximum store size, and then a second pass to do the real
52     compile - which might use a bit less than the predicted amount of memory. The
53     idea was that this would turn out faster than the Henry Spencer code because
54     the first pass is degenerate and the second pass can just store stuff straight
55     into the vector, which it knows is big enough.
56    
57     Computing the memory requirement: how it is
58     -------------------------------------------
59    
60     By the time I was working on a potential 6.8 release, the degenerate first pass
61     had become very complicated and hard to maintain. Indeed one of the early
62     things I did for 6.8 was to fix Yet Another Bug in the memory computation. Then
63     I had a flash of inspiration as to how I could run the real compile function in
64     a "fake" mode that enables it to compute how much memory it would need, while
65     actually only ever using a few hundred bytes of working memory, and without too
66     many tests of the mode that might slow it down. So I re-factored the compiling
67     functions to work this way. This got rid of about 600 lines of source. It
68     should make future maintenance and development easier. As this was such a major
69     change, I never released 6.8, instead upping the number to 7.0 (other quite
70     major changes are also present in the 7.0 release).
71    
72     A side effect of this work is that the previous limit of 200 on the nesting
73     depth of parentheses was removed. However, there is a downside: pcre_compile()
74     runs more slowly than before (30% or more, depending on the pattern) because it
75     is doing a full analysis of the pattern. My hope is that this is not a big
76     issue.
77    
78 nigel 77 Traditional matching function
79     -----------------------------
80    
81     The "traditional", and original, matching function is called pcre_exec(), and
82     it implements an NFA algorithm, similar to the original Henry Spencer algorithm
83     and the way that Perl works. Not surprising, since it is intended to be as
84     compatible with Perl as possible. This is the function most users of PCRE will
85     use most of the time.
86    
87     Supplementary matching function
88     -------------------------------
89    
90     From PCRE 6.0, there is also a supplementary matching function called
91     pcre_dfa_exec(). This implements a DFA matching algorithm that searches
92     simultaneously for all possible matches that start at one point in the subject
93     string. (Going back to my roots: see Historical Note 1 above.) This function
94     intreprets the same compiled pattern data as pcre_exec(); however, not all the
95 nigel 91 facilities are available, and those that are do not always work in quite the
96 nigel 77 same way. See the user documentation for details.
97    
98 nigel 93 The algorithm that is used for pcre_dfa_exec() is not a traditional FSM,
99     because it may have a number of states active at one time. More work would be
100     needed at compile time to produce a traditional FSM where only one state is
101     ever active at once. I believe some other regex matchers work this way.
102    
103    
104 nigel 77 Format of compiled patterns
105     ---------------------------
106    
107 nigel 41 The compiled form of a pattern is a vector of bytes, containing items of
108     variable length. The first byte in an item is an opcode, and the length of the
109 nigel 75 item is either implicit in the opcode or contained in the data bytes that
110     follow it.
111 nigel 41
112 nigel 75 In many cases below "two-byte" data values are specified. This is in fact just
113 nigel 93 a default when the number is an offset within the compiled pattern. PCRE can be
114     compiled to use 3-byte or 4-byte values for these offsets (impairing the
115 nigel 75 performance). This is necessary only when patterns whose compiled length is
116 nigel 93 greater than 64K are going to be processed. In this description, we assume the
117     "normal" compilation options. "Two-byte" data values that are counts (e.g. for
118     quantifiers) are always just two bytes.
119 nigel 75
120     A list of all the opcodes follows:
121    
122 nigel 41 Opcodes with no following data
123     ------------------------------
124    
125     These items are all just one byte long
126    
127     OP_END end of pattern
128     OP_ANY match any character
129 nigel 75 OP_ANYBYTE match any single byte, even in UTF-8 mode
130 nigel 41 OP_SOD match start of data: \A
131 nigel 71 OP_SOM, start of match (subject + offset): \G
132 ph10 181 OP_SET_SOM, set start of match (\K)
133 nigel 41 OP_CIRC ^ (start of data, or after \n in multiline)
134     OP_NOT_WORD_BOUNDARY \W
135     OP_WORD_BOUNDARY \w
136     OP_NOT_DIGIT \D
137     OP_DIGIT \d
138 ph10 181 OP_NOT_HSPACE \H
139     OP_HSPACE \h
140 nigel 41 OP_NOT_WHITESPACE \S
141     OP_WHITESPACE \s
142 ph10 181 OP_NOT_VSPACE \V
143     OP_VSPACE \v
144 nigel 41 OP_NOT_WORDCHAR \W
145     OP_WORDCHAR \w
146     OP_EODN match end of data or \n at end: \Z
147     OP_EOD match end of data: \z
148     OP_DOLL $ (end of data, or before \n in multiline)
149 nigel 75 OP_EXTUNI match an extended Unicode character
150 nigel 93 OP_ANYNL match any Unicode newline sequence
151 nigel 75
152 nigel 41
153     Repeating single characters
154     ---------------------------
155    
156 nigel 75 The common repeats (*, +, ?) when applied to a single character use the
157     following opcodes:
158 nigel 41
159     OP_STAR
160     OP_MINSTAR
161 nigel 93 OP_POSSTAR
162 nigel 41 OP_PLUS
163     OP_MINPLUS
164 nigel 93 OP_POSPLUS
165 nigel 41 OP_QUERY
166     OP_MINQUERY
167 nigel 93 OP_POSQUERY
168 nigel 41
169 nigel 75 In ASCII mode, these are two-byte items; in UTF-8 mode, the length is variable.
170 nigel 93 Those with "MIN" in their name are the minimizing versions. Those with "POS" in
171     their names are possessive versions. Each is followed by the character that is
172     to be repeated. Other repeats make use of
173 nigel 41
174     OP_UPTO
175     OP_MINUPTO
176 nigel 93 OP_POSUPTO
177 nigel 41 OP_EXACT
178    
179     which are followed by a two-byte count (most significant first) and the
180     repeated character. OP_UPTO matches from 0 to the given number. A repeat with a
181     non-zero minimum and a fixed maximum is coded as an OP_EXACT followed by an
182 nigel 93 OP_UPTO (or OP_MINUPTO or OPT_POSUPTO).
183 nigel 41
184    
185     Repeating character types
186     -------------------------
187    
188     Repeats of things like \d are done exactly as for single characters, except
189     that instead of a character, the opcode for the type is stored in the data
190     byte. The opcodes are:
191    
192     OP_TYPESTAR
193     OP_TYPEMINSTAR
194 nigel 93 OP_TYPEPOSSTAR
195 nigel 41 OP_TYPEPLUS
196     OP_TYPEMINPLUS
197 nigel 93 OP_TYPEPOSPLUS
198 nigel 41 OP_TYPEQUERY
199     OP_TYPEMINQUERY
200 nigel 93 OP_TYPEPOSQUERY
201 nigel 41 OP_TYPEUPTO
202     OP_TYPEMINUPTO
203 nigel 93 OP_TYPEPOSUPTO
204 nigel 41 OP_TYPEEXACT
205    
206    
207 nigel 75 Match by Unicode property
208     -------------------------
209    
210     OP_PROP and OP_NOTPROP are used for positive and negative matches of a
211     character by testing its Unicode property (the \p and \P escape sequences).
212 nigel 91 Each is followed by two bytes that encode the desired property as a type and a
213     value.
214 nigel 75
215 nigel 91 Repeats of these items use the OP_TYPESTAR etc. set of opcodes, followed by
216     three bytes: OP_PROP or OP_NOTPROP and then the desired property type and
217     value.
218 nigel 75
219    
220     Matching literal characters
221 nigel 41 ---------------------------
222    
223 nigel 75 The OP_CHAR opcode is followed by a single character that is to be matched
224     casefully. For caseless matching, OP_CHARNC is used. In UTF-8 mode, the
225     character may be more than one byte long. (Earlier versions of PCRE used
226     multi-character strings, but this was changed to allow some new features to be
227     added.)
228 nigel 41
229    
230     Character classes
231     -----------------
232    
233 nigel 75 If there is only one character, OP_CHAR or OP_CHARNC is used for a positive
234     class, and OP_NOT for a negative one (that is, for something like [^a]).
235     However, in UTF-8 mode, the use of OP_NOT applies only to characters with
236     values < 128, because OP_NOT is confined to single bytes.
237 nigel 41
238 nigel 63 Another set of repeating opcodes (OP_NOTSTAR etc.) are used for a repeated,
239     negated, single-character class. The normal ones (OP_STAR etc.) are used for a
240     repeated positive single-character class.
241    
242 nigel 71 When there's more than one character in a class and all the characters are less
243 nigel 75 than 256, OP_CLASS is used for a positive class, and OP_NCLASS for a negative
244 nigel 71 one. In either case, the opcode is followed by a 32-byte bit map containing a 1
245     bit for every character that is acceptable. The bits are counted from the least
246     significant end of each byte.
247 nigel 41
248 nigel 75 The reason for having both OP_CLASS and OP_NCLASS is so that, in UTF-8 mode,
249     subject characters with values greater than 256 can be handled correctly. For
250 nigel 71 OP_CLASS they don't match, whereas for OP_NCLASS they do.
251    
252 nigel 63 For classes containing characters with values > 255, OP_XCLASS is used. It
253     optionally uses a bit map (if any characters lie within it), followed by a list
254 nigel 75 of pairs and single characters. There is a flag character than indicates
255 nigel 63 whether it's a positive or a negative class.
256 nigel 41
257 nigel 63
258 nigel 41 Back references
259     ---------------
260    
261 nigel 53 OP_REF is followed by two bytes containing the reference number.
262 nigel 41
263    
264     Repeating character classes and back references
265     -----------------------------------------------
266    
267 nigel 93 Single-character classes are handled specially (see above). This section
268     applies to OP_CLASS and OP_REF. In both cases, the repeat information follows
269     the base item. The matching code looks at the following opcode to see if it is
270     one of
271 nigel 41
272     OP_CRSTAR
273     OP_CRMINSTAR
274     OP_CRPLUS
275     OP_CRMINPLUS
276     OP_CRQUERY
277     OP_CRMINQUERY
278     OP_CRRANGE
279     OP_CRMINRANGE
280    
281     All but the last two are just single-byte items. The others are followed by
282 nigel 93 four bytes of data, comprising the minimum and maximum repeat counts. There are
283     no special possessive opcodes for these repeats; a possessive repeat is
284     compiled into an atomic group.
285 nigel 41
286    
287     Brackets and alternation
288     ------------------------
289    
290 nigel 43 A pair of non-capturing (round) brackets is wrapped round each expression at
291 nigel 41 compile time, so alternation always happens in the context of brackets.
292 nigel 53
293 nigel 93 [Note for North Americans: "bracket" to some English speakers, including
294     myself, can be round, square, curly, or pointy. Hence this usage.]
295 nigel 41
296 nigel 93 Non-capturing brackets use the opcode OP_BRA. Originally PCRE was limited to 99
297     capturing brackets and it used a different opcode for each one. From release
298     3.5, the limit was removed by putting the bracket number into the data for
299     higher-numbered brackets. From release 7.0 all capturing brackets are handled
300     this way, using the single opcode OP_CBRA.
301 nigel 53
302 nigel 77 A bracket opcode is followed by LINK_SIZE bytes which give the offset to the
303     next alternative OP_ALT or, if there aren't any branches, to the matching
304     OP_KET opcode. Each OP_ALT is followed by LINK_SIZE bytes giving the offset to
305 nigel 93 the next one, or to the OP_KET opcode. For capturing brackets, the bracket
306     number immediately follows the offset, always as a 2-byte item.
307 nigel 41
308     OP_KET is used for subpatterns that do not repeat indefinitely, while
309     OP_KETRMIN and OP_KETRMAX are used for indefinite repetitions, minimally or
310 nigel 77 maximally respectively. All three are followed by LINK_SIZE bytes giving (as a
311 nigel 93 positive number) the offset back to the matching bracket opcode.
312 nigel 41
313     If a subpattern is quantified such that it is permitted to match zero times, it
314     is preceded by one of OP_BRAZERO or OP_BRAMINZERO. These are single-byte
315     opcodes which tell the matcher that skipping this subpattern entirely is a
316     valid branch.
317    
318     A subpattern with an indefinite maximum repetition is replicated in the
319 nigel 75 compiled data its minimum number of times (or once with OP_BRAZERO if the
320     minimum is zero), with the final copy terminating with OP_KETRMIN or OP_KETRMAX
321     as appropriate.
322 nigel 41
323     A subpattern with a bounded maximum repetition is replicated in a nested
324 nigel 75 fashion up to the maximum number of times, with OP_BRAZERO or OP_BRAMINZERO
325     before each replication after the minimum, so that, for example, (abc){2,5} is
326 nigel 93 compiled as (abc)(abc)((abc)((abc)(abc)?)?)?, except that each bracketed group
327     has the same number.
328 nigel 41
329 nigel 93 When a repeated subpattern has an unbounded upper limit, it is checked to see
330     whether it could match an empty string. If this is the case, the opcode in the
331     final replication is changed to OP_SBRA or OP_SCBRA. This tells the matcher
332     that it needs to check for matching an empty string when it hits OP_KETRMIN or
333     OP_KETRMAX, and if so, to break the loop.
334 nigel 41
335 nigel 93
336 nigel 41 Assertions
337     ----------
338    
339     Forward assertions are just like other subpatterns, but starting with one of
340     the opcodes OP_ASSERT or OP_ASSERT_NOT. Backward assertions use the opcodes
341     OP_ASSERTBACK and OP_ASSERTBACK_NOT, and the first opcode inside the assertion
342     is OP_REVERSE, followed by a two byte count of the number of characters to move
343 nigel 49 back the pointer in the subject string. When operating in UTF-8 mode, the count
344     is a character count rather than a byte count. A separate count is present in
345     each alternative of a lookbehind assertion, allowing them to have different
346     fixed lengths.
347 nigel 41
348    
349 nigel 93 Once-only (atomic) subpatterns
350     ------------------------------
351 nigel 41
352     These are also just like other subpatterns, but they start with the opcode
353 nigel 93 OP_ONCE. The check for matching an empty string in an unbounded repeat is
354     handled entirely at runtime, so there is just this one opcode.
355 nigel 41
356    
357     Conditional subpatterns
358     -----------------------
359    
360 nigel 93 These are like other subpatterns, but they start with the opcode OP_COND, or
361     OP_SCOND for one that might match an empty string in an unbounded repeat. If
362 nigel 41 the condition is a back reference, this is stored at the start of the
363 nigel 53 subpattern using the opcode OP_CREF followed by two bytes containing the
364 nigel 93 reference number. If the condition is "in recursion" (coded as "(?(R)"), or "in
365     recursion of group x" (coded as "(?(Rx)"), the group number is stored at the
366     start of the subpattern using the opcode OP_RREF, and a value of zero for "the
367     whole pattern". For a DEFINE condition, just the single byte OP_DEF is used (it
368     has no associated data). Otherwise, a conditional subpattern always starts with
369     one of the assertions.
370 nigel 41
371    
372 nigel 71 Recursion
373     ---------
374    
375     Recursion either matches the current regex, or some subexpression. The opcode
376     OP_RECURSE is followed by an value which is the offset to the starting bracket
377 nigel 87 from the start of the whole pattern. From release 6.5, OP_RECURSE is
378     automatically wrapped inside OP_ONCE brackets (because otherwise some patterns
379     broke it). OP_RECURSE is also used for "subroutine" calls, even though they
380     are not strictly a recursion.
381 nigel 71
382    
383     Callout
384     -------
385    
386 nigel 75 OP_CALLOUT is followed by one byte of data that holds a callout number in the
387     range 0 to 254 for manual callouts, or 255 for an automatic callout. In both
388     cases there follows a two-byte value giving the offset in the pattern to the
389     start of the following item, and another two-byte item giving the length of the
390     next item.
391 nigel 71
392    
393 nigel 41 Changing options
394     ----------------
395    
396 nigel 63 If any of the /i, /m, or /s options are changed within a pattern, an OP_OPT
397     opcode is compiled, followed by one byte containing the new settings of these
398     flags. If there are several alternatives, there is an occurrence of OP_OPT at
399     the start of all those following the first options change, to set appropriate
400     options for the start of the alternative. Immediately after the end of the
401     group there is another such item to reset the flags to their previous values. A
402     change of flag right at the very start of the pattern can be handled entirely
403     at compile time, and so does not cause anything to be put into the compiled
404     data.
405 nigel 41
406     Philip Hazel
407 ph10 181 June 2007

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