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-Technical Notes about PCRE
---------------------------
-
-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". 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 and subsequently
-heavily modified for Perl actually 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 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 forms PCRE (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 needed, for a number of reasons. PCRE works by running a very
-degenerate first pass to calculate a maximum store size, and then a second pass
-to do the real compile - which may use a bit less than the predicted amount of
-store. The idea is that this is going to turn out faster because the first pass
-is degenerate and the second pass can just store stuff straight into the
-vector. It does make the compiling functions bigger, of course, but they have
-got quite big anyway to handle all the Perl stuff.
-
-The compiled form of a pattern is a vector of bytes, containing items of
-variable length. The first byte in an item is an opcode, and the length of the
-item is either implicit in the opcode or contained in the data bytes that
-follow it.
-
-In many cases below "two-byte" data values are specified. This is in fact just
-a default. PCRE can be compiled to use 3-byte or 4-byte values (impairing the
-performance). This 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.
-
-A list of all the opcodes follows:
-
-Opcodes with no following data
-------------------------------
-
-These items are all just one byte long
-
- OP_END end of pattern
- OP_ANY match any character
- OP_ANYBYTE match any single byte, even in UTF-8 mode
- OP_SOD match start of data: \A
- OP_SOM, start of match (subject + offset): \G
- OP_CIRC ^ (start of data, or after \n in multiline)
- OP_NOT_WORD_BOUNDARY \W
- OP_WORD_BOUNDARY \w
- OP_NOT_DIGIT \D
- OP_DIGIT \d
- OP_NOT_WHITESPACE \S
- OP_WHITESPACE \s
- OP_NOT_WORDCHAR \W
- OP_WORDCHAR \w
- OP_EODN match end of data or \n at end: \Z
- OP_EOD match end of data: \z
- OP_DOLL $ (end of data, or before \n in multiline)
- OP_EXTUNI match an extended Unicode character
-
-
-Repeating single characters
----------------------------
-
-The common repeats (*, +, ?) when applied to a single character use the
-following opcodes:
-
- OP_STAR
- OP_MINSTAR
- OP_PLUS
- OP_MINPLUS
- OP_QUERY
- OP_MINQUERY
-
-In ASCII mode, these are two-byte items; in UTF-8 mode, the length is variable.
-Those with "MIN" in their name are the minimizing versions. Each is followed by
-the character that is to be repeated. Other repeats make use of
-
- OP_UPTO
- OP_MINUPTO
- OP_EXACT
-
-which are followed by a two-byte count (most significant first) and 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).
-
-
-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
-byte. The opcodes are:
-
- OP_TYPESTAR
- OP_TYPEMINSTAR
- OP_TYPEPLUS
- OP_TYPEMINPLUS
- OP_TYPEQUERY
- OP_TYPEMINQUERY
- OP_TYPEUPTO
- OP_TYPEMINUPTO
- 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 a single byte that encodes the desired property value.
-
-Repeats of these items use the OP_TYPESTAR etc. set of opcodes, followed by two
-bytes: OP_PROP or OP_NOTPROP and then the desired property value.
-
-
-Matching literal characters
----------------------------
-
-The OP_CHAR opcode is followed by a single character that is to be matched
-casefully. For caseless matching, OP_CHARNC is used. In UTF-8 mode, the
-character may be more than one byte long. (Earlier versions of PCRE used
-multi-character strings, but this was changed to allow some new features to be
-added.)
-
-
-Character classes
------------------
-
-If there is only one character, OP_CHAR or OP_CHARNC is used for a positive
-class, and OP_NOT for a negative one (that is, for something like [^a]).
-However, in UTF-8 mode, the use of OP_NOT applies only to characters with
-values < 128, because OP_NOT is confined to single bytes.
-
-Another set of repeating opcodes (OP_NOTSTAR etc.) are used for a repeated,
-negated, single-character class. The normal ones (OP_STAR etc.) are used for a
-repeated positive single-character class.
-
-When there's more than one character in a class and all the characters 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 bit map containing a 1
-bit for every character that is acceptable. The bits are counted from the least
-significant end of each byte.
-
-The reason for having both OP_CLASS and OP_NCLASS is so that, in UTF-8 mode,
-subject characters with values greater than 256 can be handled correctly. For
-OP_CLASS they don't match, whereas for OP_NCLASS they do.
-
-For classes containing characters with values > 255, OP_XCLASS is used. It
-optionally uses a bit map (if any characters lie within it), followed by a list
-of pairs and single characters. There is a flag character than indicates
-whether it's a positive or a negative class.
-
-
-Back references
----------------
-
-OP_REF is followed by two bytes containing the reference number.
-
-
-Repeating character classes and back references
------------------------------------------------
-
-Single-character classes are handled specially (see above). This applies to
-OP_CLASS and OP_REF. 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_CRPLUS
- OP_CRMINPLUS
- OP_CRQUERY
- OP_CRMINQUERY
- OP_CRRANGE
- OP_CRMINRANGE
-
-All but the last two are just single-byte items. The others are followed by
-four bytes of data, comprising 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.
-
-Non-capturing brackets use the opcode OP_BRA, while capturing brackets use
-OP_BRA+1, OP_BRA+2, etc. [Note for North Americans: "bracket" to some English
-speakers, including myself, can be round, square, curly, or pointy. Hence this
-usage.]
-
-Originally PCRE was limited to 99 capturing brackets (so as not to use up all
-the opcodes). From release 3.5, there is no limit. What happens is that the
-first ones, up to EXTRACT_BASIC_MAX are handled with separate opcodes, as
-above. If there are more, the opcode is set to EXTRACT_BASIC_MAX+1, and the
-first operation in the bracket is OP_BRANUMBER, followed by a 2-byte bracket
-number. This opcode is ignored while matching, but is fished out when handling
-the bracket itself. (They could have all been done like this, but I was making
-minimal changes.)
-
-A bracket opcode is followed by two 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 two bytes giving the offset to the next one,
-or to the OP_KET opcode.
-
-OP_KET is used for subpatterns that do not repeat indefinitely, while
-OP_KETRMIN and OP_KETRMAX are used for indefinite repetitions, minimally or
-maximally respectively. All three are followed by two bytes giving (as a
-positive number) the offset back to the matching OP_BRA opcode.
-
-If a subpattern is quantified such that it is permitted to match zero times, it
-is preceded by one of OP_BRAZERO or OP_BRAMINZERO. These are single-byte
-opcodes which tell the matcher that skipping this subpattern entirely is a
-valid branch.
-
-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)?)?)?.
-
-
-Assertions
-----------
-
-Forward assertions are 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 two byte count of the number of characters to move
-back the pointer in the subject string. When operating in UTF-8 mode, the count
-is a character count rather than a byte count. A separate count is present in
-each alternative of a lookbehind assertion, allowing them to have different
-fixed lengths.
-
-
-Once-only subpatterns
----------------------
-
-These are also just like other subpatterns, but they start with the opcode
-OP_ONCE.
-
-
-Conditional subpatterns
------------------------
-
-These are like other subpatterns, but they start with the opcode OP_COND. If
-the condition is a back reference, this is stored at the start of the
-subpattern using the opcode OP_CREF followed by two bytes containing the
-reference number. If the condition is "in recursion" (coded as "(?(R)"), the
-same scheme is used, with a "reference number" of 0xffff. 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 an value which is the offset to the starting bracket
-from the start of the whole pattern.
-
-
-Callout
--------
-
-OP_CALLOUT is followed by one byte 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 two-byte value giving the offset in the pattern to the
-start of the following item, and another two-byte item giving the length of the
-next item.
-
-
-Changing options
-----------------
-
-If any of the /i, /m, or /s options are changed within a pattern, an OP_OPT
-opcode is compiled, followed by one byte containing the new settings of these
-flags. If there are several alternatives, there is an occurrence of OP_OPT at
-the start of all those following the first options change, to set appropriate
-options for the start of the alternative. Immediately after the end of the
-group there is another such item to reset the flags to their previous values. A
-change of flag right at the very start of the pattern can be handled entirely
-at compile time, and so does not cause anything to be put into the compiled
-data.
-
-Philip Hazel
-September 2004