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pcre 8.34

    1: <html>
    2: <head>
    3: <title>pcrematching specification</title>
    4: </head>
    5: <body bgcolor="#FFFFFF" text="#00005A" link="#0066FF" alink="#3399FF" vlink="#2222BB">
    6: <h1>pcrematching man page</h1>
    7: <p>
    8: Return to the <a href="index.html">PCRE index page</a>.
    9: </p>
   10: <p>
   11: This page is part of the PCRE HTML documentation. It was generated automatically
   12: from the original man page. If there is any nonsense in it, please consult the
   13: man page, in case the conversion went wrong.
   14: <br>
   15: <ul>
   16: <li><a name="TOC1" href="#SEC1">PCRE MATCHING ALGORITHMS</a>
   17: <li><a name="TOC2" href="#SEC2">REGULAR EXPRESSIONS AS TREES</a>
   18: <li><a name="TOC3" href="#SEC3">THE STANDARD MATCHING ALGORITHM</a>
   19: <li><a name="TOC4" href="#SEC4">THE ALTERNATIVE MATCHING ALGORITHM</a>
   20: <li><a name="TOC5" href="#SEC5">ADVANTAGES OF THE ALTERNATIVE ALGORITHM</a>
   21: <li><a name="TOC6" href="#SEC6">DISADVANTAGES OF THE ALTERNATIVE ALGORITHM</a>
   22: <li><a name="TOC7" href="#SEC7">AUTHOR</a>
   23: <li><a name="TOC8" href="#SEC8">REVISION</a>
   24: </ul>
   25: <br><a name="SEC1" href="#TOC1">PCRE MATCHING ALGORITHMS</a><br>
   26: <P>
   27: This document describes the two different algorithms that are available in PCRE
   28: for matching a compiled regular expression against a given subject string. The
   29: "standard" algorithm is the one provided by the <b>pcre_exec()</b>,
   30: <b>pcre16_exec()</b> and <b>pcre32_exec()</b> functions. These work in the same
   31: as as Perl's matching function, and provide a Perl-compatible matching operation.
   32: The just-in-time (JIT) optimization that is described in the
   33: <a href="pcrejit.html"><b>pcrejit</b></a>
   34: documentation is compatible with these functions.
   35: </P>
   36: <P>
   37: An alternative algorithm is provided by the <b>pcre_dfa_exec()</b>,
   38: <b>pcre16_dfa_exec()</b> and <b>pcre32_dfa_exec()</b> functions; they operate in
   39: a different way, and are not Perl-compatible. This alternative has advantages
   40: and disadvantages compared with the standard algorithm, and these are described
   41: below.
   42: </P>
   43: <P>
   44: When there is only one possible way in which a given subject string can match a
   45: pattern, the two algorithms give the same answer. A difference arises, however,
   46: when there are multiple possibilities. For example, if the pattern
   47: <pre>
   48:   ^&#60;.*&#62;
   49: </pre>
   50: is matched against the string
   51: <pre>
   52:   &#60;something&#62; &#60;something else&#62; &#60;something further&#62;
   53: </pre>
   54: there are three possible answers. The standard algorithm finds only one of
   55: them, whereas the alternative algorithm finds all three.
   56: </P>
   57: <br><a name="SEC2" href="#TOC1">REGULAR EXPRESSIONS AS TREES</a><br>
   58: <P>
   59: The set of strings that are matched by a regular expression can be represented
   60: as a tree structure. An unlimited repetition in the pattern makes the tree of
   61: infinite size, but it is still a tree. Matching the pattern to a given subject
   62: string (from a given starting point) can be thought of as a search of the tree.
   63: There are two ways to search a tree: depth-first and breadth-first, and these
   64: correspond to the two matching algorithms provided by PCRE.
   65: </P>
   66: <br><a name="SEC3" href="#TOC1">THE STANDARD MATCHING ALGORITHM</a><br>
   67: <P>
   68: In the terminology of Jeffrey Friedl's book "Mastering Regular
   69: Expressions", the standard algorithm is an "NFA algorithm". It conducts a
   70: depth-first search of the pattern tree. That is, it proceeds along a single
   71: path through the tree, checking that the subject matches what is required. When
   72: there is a mismatch, the algorithm tries any alternatives at the current point,
   73: and if they all fail, it backs up to the previous branch point in the tree, and
   74: tries the next alternative branch at that level. This often involves backing up
   75: (moving to the left) in the subject string as well. The order in which
   76: repetition branches are tried is controlled by the greedy or ungreedy nature of
   77: the quantifier.
   78: </P>
   79: <P>
   80: If a leaf node is reached, a matching string has been found, and at that point
   81: the algorithm stops. Thus, if there is more than one possible match, this
   82: algorithm returns the first one that it finds. Whether this is the shortest,
   83: the longest, or some intermediate length depends on the way the greedy and
   84: ungreedy repetition quantifiers are specified in the pattern.
   85: </P>
   86: <P>
   87: Because it ends up with a single path through the tree, it is relatively
   88: straightforward for this algorithm to keep track of the substrings that are
   89: matched by portions of the pattern in parentheses. This provides support for
   90: capturing parentheses and back references.
   91: </P>
   92: <br><a name="SEC4" href="#TOC1">THE ALTERNATIVE MATCHING ALGORITHM</a><br>
   93: <P>
   94: This algorithm conducts a breadth-first search of the tree. Starting from the
   95: first matching point in the subject, it scans the subject string from left to
   96: right, once, character by character, and as it does this, it remembers all the
   97: paths through the tree that represent valid matches. In Friedl's terminology,
   98: this is a kind of "DFA algorithm", though it is not implemented as a
   99: traditional finite state machine (it keeps multiple states active
  100: simultaneously).
  101: </P>
  102: <P>
  103: Although the general principle of this matching algorithm is that it scans the
  104: subject string only once, without backtracking, there is one exception: when a
  105: lookaround assertion is encountered, the characters following or preceding the
  106: current point have to be independently inspected.
  107: </P>
  108: <P>
  109: The scan continues until either the end of the subject is reached, or there are
  110: no more unterminated paths. At this point, terminated paths represent the
  111: different matching possibilities (if there are none, the match has failed).
  112: Thus, if there is more than one possible match, this algorithm finds all of
  113: them, and in particular, it finds the longest. The matches are returned in
  114: decreasing order of length. There is an option to stop the algorithm after the
  115: first match (which is necessarily the shortest) is found.
  116: </P>
  117: <P>
  118: Note that all the matches that are found start at the same point in the
  119: subject. If the pattern
  120: <pre>
  121:   cat(er(pillar)?)?
  122: </pre>
  123: is matched against the string "the caterpillar catchment", the result will be
  124: the three strings "caterpillar", "cater", and "cat" that start at the fifth
  125: character of the subject. The algorithm does not automatically move on to find
  126: matches that start at later positions.
  127: </P>
  128: <P>
  129: PCRE's "auto-possessification" optimization usually applies to character
  130: repeats at the end of a pattern (as well as internally). For example, the
  131: pattern "a\d+" is compiled as if it were "a\d++" because there is no point
  132: even considering the possibility of backtracking into the repeated digits. For
  133: DFA matching, this means that only one possible match is found. If you really
  134: do want multiple matches in such cases, either use an ungreedy repeat
  135: ("a\d+?") or set the PCRE_NO_AUTO_POSSESS option when compiling.
  136: </P>
  137: <P>
  138: There are a number of features of PCRE regular expressions that are not
  139: supported by the alternative matching algorithm. They are as follows:
  140: </P>
  141: <P>
  142: 1. Because the algorithm finds all possible matches, the greedy or ungreedy
  143: nature of repetition quantifiers is not relevant. Greedy and ungreedy
  144: quantifiers are treated in exactly the same way. However, possessive
  145: quantifiers can make a difference when what follows could also match what is
  146: quantified, for example in a pattern like this:
  147: <pre>
  148:   ^a++\w!
  149: </pre>
  150: This pattern matches "aaab!" but not "aaa!", which would be matched by a
  151: non-possessive quantifier. Similarly, if an atomic group is present, it is
  152: matched as if it were a standalone pattern at the current point, and the
  153: longest match is then "locked in" for the rest of the overall pattern.
  154: </P>
  155: <P>
  156: 2. When dealing with multiple paths through the tree simultaneously, it is not
  157: straightforward to keep track of captured substrings for the different matching
  158: possibilities, and PCRE's implementation of this algorithm does not attempt to
  159: do this. This means that no captured substrings are available.
  160: </P>
  161: <P>
  162: 3. Because no substrings are captured, back references within the pattern are
  163: not supported, and cause errors if encountered.
  164: </P>
  165: <P>
  166: 4. For the same reason, conditional expressions that use a backreference as the
  167: condition or test for a specific group recursion are not supported.
  168: </P>
  169: <P>
  170: 5. Because many paths through the tree may be active, the \K escape sequence,
  171: which resets the start of the match when encountered (but may be on some paths
  172: and not on others), is not supported. It causes an error if encountered.
  173: </P>
  174: <P>
  175: 6. Callouts are supported, but the value of the <i>capture_top</i> field is
  176: always 1, and the value of the <i>capture_last</i> field is always -1.
  177: </P>
  178: <P>
  179: 7. The \C escape sequence, which (in the standard algorithm) always matches a
  180: single data unit, even in UTF-8, UTF-16 or UTF-32 modes, is not supported in
  181: these modes, because the alternative algorithm moves through the subject string
  182: one character (not data unit) at a time, for all active paths through the tree.
  183: </P>
  184: <P>
  185: 8. Except for (*FAIL), the backtracking control verbs such as (*PRUNE) are not
  186: supported. (*FAIL) is supported, and behaves like a failing negative assertion.
  187: </P>
  188: <br><a name="SEC5" href="#TOC1">ADVANTAGES OF THE ALTERNATIVE ALGORITHM</a><br>
  189: <P>
  190: Using the alternative matching algorithm provides the following advantages:
  191: </P>
  192: <P>
  193: 1. All possible matches (at a single point in the subject) are automatically
  194: found, and in particular, the longest match is found. To find more than one
  195: match using the standard algorithm, you have to do kludgy things with
  196: callouts.
  197: </P>
  198: <P>
  199: 2. Because the alternative algorithm scans the subject string just once, and
  200: never needs to backtrack (except for lookbehinds), it is possible to pass very
  201: long subject strings to the matching function in several pieces, checking for
  202: partial matching each time. Although it is possible to do multi-segment
  203: matching using the standard algorithm by retaining partially matched
  204: substrings, it is more complicated. The
  205: <a href="pcrepartial.html"><b>pcrepartial</b></a>
  206: documentation gives details of partial matching and discusses multi-segment
  207: matching.
  208: </P>
  209: <br><a name="SEC6" href="#TOC1">DISADVANTAGES OF THE ALTERNATIVE ALGORITHM</a><br>
  210: <P>
  211: The alternative algorithm suffers from a number of disadvantages:
  212: </P>
  213: <P>
  214: 1. It is substantially slower than the standard algorithm. This is partly
  215: because it has to search for all possible matches, but is also because it is
  216: less susceptible to optimization.
  217: </P>
  218: <P>
  219: 2. Capturing parentheses and back references are not supported.
  220: </P>
  221: <P>
  222: 3. Although atomic groups are supported, their use does not provide the
  223: performance advantage that it does for the standard algorithm.
  224: </P>
  225: <br><a name="SEC7" href="#TOC1">AUTHOR</a><br>
  226: <P>
  227: Philip Hazel
  228: <br>
  229: University Computing Service
  230: <br>
  231: Cambridge CB2 3QH, England.
  232: <br>
  233: </P>
  234: <br><a name="SEC8" href="#TOC1">REVISION</a><br>
  235: <P>
  236: Last updated: 12 November 2013
  237: <br>
  238: Copyright &copy; 1997-2012 University of Cambridge.
  239: <br>
  240: <p>
  241: Return to the <a href="index.html">PCRE index page</a>.
  242: </p>

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