Annotation of parser3/src/lib/pcre/Tech.Notes, revision 1.1

1.1     ! paf         1: Technical Notes about PCRE
        !             2: --------------------------
        !             3: 
        !             4: Many years ago I implemented some regular expression functions to an algorithm
        !             5: suggested by Martin Richards. These were not Unix-like in form, and were quite
        !             6: restricted in what they could do by comparison with Perl. The interesting part
        !             7: about the algorithm was that the amount of space required to hold the compiled
        !             8: form of an expression was known in advance. The code to apply an expression did
        !             9: not operate by backtracking, as the Henry Spencer and Perl code does, but
        !            10: instead checked all possibilities simultaneously by keeping a list of current
        !            11: states and checking all of them as it advanced through the subject string. (In
        !            12: the terminology of Jeffrey Friedl's book, it was a "DFA algorithm".) When the
        !            13: pattern was all used up, all remaining states were possible matches, and the
        !            14: one matching the longest subset of the subject string was chosen. This did not
        !            15: necessarily maximize the individual wild portions of the pattern, as is
        !            16: expected in Unix and Perl-style regular expressions.
        !            17: 
        !            18: By contrast, the code originally written by Henry Spencer and subsequently
        !            19: heavily modified for Perl actually compiles the expression twice: once in a
        !            20: dummy mode in order to find out how much store will be needed, and then for
        !            21: real. The execution function operates by backtracking and maximizing (or,
        !            22: optionally, minimizing in Perl) the amount of the subject that matches
        !            23: individual wild portions of the pattern. This is an "NFA algorithm" in Friedl's
        !            24: terminology.
        !            25: 
        !            26: For this set of functions that forms PCRE, I tried at first to invent an
        !            27: algorithm that used an amount of store bounded by a multiple of the number of
        !            28: characters in the pattern, to save on compiling time. However, because of the
        !            29: greater complexity in Perl regular expressions, I couldn't do this. In any
        !            30: case, a first pass through the pattern is needed, in order to find internal
        !            31: flag settings like (?i) at top level. So it works by running a very degenerate
        !            32: first pass to calculate a maximum store size, and then a second pass to do the
        !            33: real compile - which may use a bit less than the predicted amount of store. The
        !            34: idea is that this is going to turn out faster because the first pass is
        !            35: degenerate and the second can just store stuff straight into the vector. It
        !            36: does make the compiling functions bigger, of course, but they have got quite
        !            37: big anyway to handle all the Perl stuff.
        !            38: 
        !            39: The compiled form of a pattern is a vector of bytes, containing items of
        !            40: variable length. The first byte in an item is an opcode, and the length of the
        !            41: item is either implicit in the opcode or contained in the data bytes which
        !            42: follow it. A list of all the opcodes follows:
        !            43: 
        !            44: Opcodes with no following data
        !            45: ------------------------------
        !            46: 
        !            47: These items are all just one byte long
        !            48: 
        !            49:   OP_END                 end of pattern
        !            50:   OP_ANY                 match any character
        !            51:   OP_SOD                 match start of data: \A
        !            52:   OP_CIRC                ^ (start of data, or after \n in multiline)
        !            53:   OP_NOT_WORD_BOUNDARY   \W
        !            54:   OP_WORD_BOUNDARY       \w
        !            55:   OP_NOT_DIGIT           \D
        !            56:   OP_DIGIT               \d
        !            57:   OP_NOT_WHITESPACE      \S
        !            58:   OP_WHITESPACE          \s
        !            59:   OP_NOT_WORDCHAR        \W
        !            60:   OP_WORDCHAR            \w
        !            61:   OP_EODN                match end of data or \n at end: \Z
        !            62:   OP_EOD                 match end of data: \z
        !            63:   OP_DOLL                $ (end of data, or before \n in multiline)
        !            64: 
        !            65: 
        !            66: Repeating single characters
        !            67: ---------------------------
        !            68: 
        !            69: The common repeats (*, +, ?) when applied to a single character appear as
        !            70: two-byte items using the following opcodes:
        !            71: 
        !            72:   OP_STAR
        !            73:   OP_MINSTAR
        !            74:   OP_PLUS
        !            75:   OP_MINPLUS
        !            76:   OP_QUERY
        !            77:   OP_MINQUERY
        !            78: 
        !            79: Those with "MIN" in their name are the minimizing versions. Each is followed by
        !            80: the character that is to be repeated. Other repeats make use of
        !            81: 
        !            82:   OP_UPTO
        !            83:   OP_MINUPTO
        !            84:   OP_EXACT
        !            85: 
        !            86: which are followed by a two-byte count (most significant first) and the
        !            87: repeated character. OP_UPTO matches from 0 to the given number. A repeat with a
        !            88: non-zero minimum and a fixed maximum is coded as an OP_EXACT followed by an
        !            89: OP_UPTO (or OP_MINUPTO).
        !            90: 
        !            91: 
        !            92: Repeating character types
        !            93: -------------------------
        !            94: 
        !            95: Repeats of things like \d are done exactly as for single characters, except
        !            96: that instead of a character, the opcode for the type is stored in the data
        !            97: byte. The opcodes are:
        !            98: 
        !            99:   OP_TYPESTAR
        !           100:   OP_TYPEMINSTAR
        !           101:   OP_TYPEPLUS
        !           102:   OP_TYPEMINPLUS
        !           103:   OP_TYPEQUERY
        !           104:   OP_TYPEMINQUERY
        !           105:   OP_TYPEUPTO
        !           106:   OP_TYPEMINUPTO
        !           107:   OP_TYPEEXACT
        !           108: 
        !           109: 
        !           110: Matching a character string
        !           111: ---------------------------
        !           112: 
        !           113: The OP_CHARS opcode is followed by a one-byte count and then that number of
        !           114: characters. If there are more than 255 characters in sequence, successive
        !           115: instances of OP_CHARS are used.
        !           116: 
        !           117: 
        !           118: Character classes
        !           119: -----------------
        !           120: 
        !           121: OP_CLASS is used for a character class, provided there are at least two
        !           122: characters in the class. If there is only one character, OP_CHARS is used for a
        !           123: positive class, and OP_NOT for a negative one (that is, for something like
        !           124: [^a]). Another set of repeating opcodes (OP_NOTSTAR etc.) are used for a
        !           125: repeated, negated, single-character class. The normal ones (OP_STAR etc.) are
        !           126: used for a repeated positive single-character class.
        !           127: 
        !           128: OP_CLASS is followed by a 32-byte bit map containing a 1
        !           129: bit for every character that is acceptable. The bits are counted from the least
        !           130: significant end of each byte.
        !           131: 
        !           132: 
        !           133: Back references
        !           134: ---------------
        !           135: 
        !           136: OP_REF is followed by a single byte containing the reference number.
        !           137: 
        !           138: 
        !           139: Repeating character classes and back references
        !           140: -----------------------------------------------
        !           141: 
        !           142: Single-character classes are handled specially (see above). This applies to
        !           143: OP_CLASS and OP_REF. In both cases, the repeat information follows the base
        !           144: item. The matching code looks at the following opcode to see if it is one of
        !           145: 
        !           146:   OP_CRSTAR
        !           147:   OP_CRMINSTAR
        !           148:   OP_CRPLUS
        !           149:   OP_CRMINPLUS
        !           150:   OP_CRQUERY
        !           151:   OP_CRMINQUERY
        !           152:   OP_CRRANGE
        !           153:   OP_CRMINRANGE
        !           154: 
        !           155: All but the last two are just single-byte items. The others are followed by
        !           156: four bytes of data, comprising the minimum and maximum repeat counts.
        !           157: 
        !           158: 
        !           159: Brackets and alternation
        !           160: ------------------------
        !           161: 
        !           162: A pair of non-identifying (round) brackets is wrapped round each expression at
        !           163: compile time, so alternation always happens in the context of brackets.
        !           164: Non-identifying brackets use the opcode OP_BRA, while identifying brackets use
        !           165: OP_BRA+1, OP_BRA+2, etc. [Note for North Americans: "bracket" to some English
        !           166: speakers, including myself, can be round, square, or curly. Hence this usage.]
        !           167: 
        !           168: A bracket opcode is followed by two bytes which give the offset to the next
        !           169: alternative OP_ALT or, if there aren't any branches, to the matching KET
        !           170: opcode. Each OP_ALT is followed by two bytes giving the offset to the next one,
        !           171: or to the KET opcode.
        !           172: 
        !           173: OP_KET is used for subpatterns that do not repeat indefinitely, while
        !           174: OP_KETRMIN and OP_KETRMAX are used for indefinite repetitions, minimally or
        !           175: maximally respectively. All three are followed by two bytes giving (as a
        !           176: positive number) the offset back to the matching BRA opcode.
        !           177: 
        !           178: If a subpattern is quantified such that it is permitted to match zero times, it
        !           179: is preceded by one of OP_BRAZERO or OP_BRAMINZERO. These are single-byte
        !           180: opcodes which tell the matcher that skipping this subpattern entirely is a
        !           181: valid branch.
        !           182: 
        !           183: A subpattern with an indefinite maximum repetition is replicated in the
        !           184: compiled data its minimum number of times (or once with a BRAZERO if the
        !           185: minimum is zero), with the final copy terminating with a KETRMIN or KETRMAX as
        !           186: appropriate.
        !           187: 
        !           188: A subpattern with a bounded maximum repetition is replicated in a nested
        !           189: fashion up to the maximum number of times, with BRAZERO or BRAMINZERO before
        !           190: each replication after the minimum, so that, for example, (abc){2,5} is
        !           191: compiled as (abc)(abc)((abc)((abc)(abc)?)?)?. The 200-bracket limit does not
        !           192: apply to these internally generated brackets.
        !           193: 
        !           194: 
        !           195: Assertions
        !           196: ----------
        !           197: 
        !           198: Forward assertions are just like other subpatterns, but starting with one of
        !           199: the opcodes OP_ASSERT or OP_ASSERT_NOT. Backward assertions use the opcodes
        !           200: OP_ASSERTBACK and OP_ASSERTBACK_NOT, and the first opcode inside the assertion
        !           201: is OP_REVERSE, followed by a two byte count of the number of characters to move
        !           202: back the pointer in the subject string. A separate count is present in each
        !           203: alternative of a lookbehind assertion, allowing them to have different fixed
        !           204: lengths.
        !           205: 
        !           206: 
        !           207: Once-only subpatterns
        !           208: ---------------------
        !           209: 
        !           210: These are also just like other subpatterns, but they start with the opcode
        !           211: OP_ONCE.
        !           212: 
        !           213: 
        !           214: Conditional subpatterns
        !           215: -----------------------
        !           216: 
        !           217: These are like other subpatterns, but they start with the opcode OP_COND. If
        !           218: the condition is a back reference, this is stored at the start of the
        !           219: subpattern using the opcode OP_CREF followed by one byte containing the
        !           220: reference number. Otherwise, a conditional subpattern will always start with
        !           221: one of the assertions.
        !           222: 
        !           223: 
        !           224: Changing options
        !           225: ----------------
        !           226: 
        !           227: If any of the /i, /m, or /s options are changed within a parenthesized group,
        !           228: an OP_OPT opcode is compiled, followed by one byte containing the new settings
        !           229: of these flags. If there are several alternatives in a group, there is an
        !           230: occurrence of OP_OPT at the start of all those following the first options
        !           231: change, to set appropriate options for the start of the alternative.
        !           232: Immediately after the end of the group there is another such item to reset the
        !           233: flags to their previous values. Other changes of flag within the pattern can be
        !           234: handled entirely at compile time, and so do not cause anything to be put into
        !           235: the compiled data.
        !           236: 
        !           237: 
        !           238: Philip Hazel
        !           239: January 1999

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