| 26 |
<something> <something else> <something further> |
<something> <something else> <something further> |
| 27 |
.sp |
.sp |
| 28 |
there are three possible answers. The standard algorithm finds only one of |
there are three possible answers. The standard algorithm finds only one of |
| 29 |
them, whereas the DFA algorithm finds all three. |
them, whereas the alternative algorithm finds all three. |
| 30 |
. |
. |
| 31 |
.SH "REGULAR EXPRESSIONS AS TREES" |
.SH "REGULAR EXPRESSIONS AS TREES" |
| 32 |
.rs |
.rs |
| 63 |
matched by portions of the pattern in parentheses. This provides support for |
matched by portions of the pattern in parentheses. This provides support for |
| 64 |
capturing parentheses and back references. |
capturing parentheses and back references. |
| 65 |
. |
. |
| 66 |
.SH "THE DFA MATCHING ALGORITHM" |
.SH "THE ALTERNATIVE MATCHING ALGORITHM" |
| 67 |
.rs |
.rs |
| 68 |
.sp |
.sp |
| 69 |
DFA stands for "deterministic finite automaton", but you do not need to |
This algorithm conducts a breadth-first search of the tree. Starting from the |
| 70 |
understand the origins of that name. This algorithm conducts a breadth-first |
first matching point in the subject, it scans the subject string from left to |
| 71 |
search of the tree. Starting from the first matching point in the subject, it |
right, once, character by character, and as it does this, it remembers all the |
| 72 |
scans the subject string from left to right, once, character by character, and |
paths through the tree that represent valid matches. In Friedl's terminology, |
| 73 |
as it does this, it remembers all the paths through the tree that represent |
this is a kind of "DFA algorithm", though it is not implemented as a |
| 74 |
valid matches. |
traditional finite state machine (it keeps multiple states active |
| 75 |
|
simultaneously). |
| 76 |
.P |
.P |
| 77 |
The scan continues until either the end of the subject is reached, or there are |
The scan continues until either the end of the subject is reached, or there are |
| 78 |
no more unterminated paths. At this point, terminated paths represent the |
no more unterminated paths. At this point, terminated paths represent the |
| 93 |
matches that start at later positions. |
matches that start at later positions. |
| 94 |
.P |
.P |
| 95 |
There are a number of features of PCRE regular expressions that are not |
There are a number of features of PCRE regular expressions that are not |
| 96 |
supported by the DFA matching algorithm. They are as follows: |
supported by the alternative matching algorithm. They are as follows: |
| 97 |
.P |
.P |
| 98 |
1. Because the algorithm finds all possible matches, the greedy or ungreedy |
1. Because the algorithm finds all possible matches, the greedy or ungreedy |
| 99 |
nature of repetition quantifiers is not relevant. Greedy and ungreedy |
nature of repetition quantifiers is not relevant. Greedy and ungreedy |
| 100 |
quantifiers are treated in exactly the same way. |
quantifiers are treated in exactly the same way. However, possessive |
| 101 |
|
quantifiers can make a difference when what follows could also match what is |
| 102 |
|
quantified, for example in a pattern like this: |
| 103 |
|
.sp |
| 104 |
|
^a++\ew! |
| 105 |
|
.sp |
| 106 |
|
This pattern matches "aaab!" but not "aaa!", which would be matched by a |
| 107 |
|
non-possessive quantifier. Similarly, if an atomic group is present, it is |
| 108 |
|
matched as if it were a standalone pattern at the current point, and the |
| 109 |
|
longest match is then "locked in" for the rest of the overall pattern. |
| 110 |
.P |
.P |
| 111 |
2. When dealing with multiple paths through the tree simultaneously, it is not |
2. When dealing with multiple paths through the tree simultaneously, it is not |
| 112 |
straightforward to keep track of captured substrings for the different matching |
straightforward to keep track of captured substrings for the different matching |
| 117 |
not supported, and cause errors if encountered. |
not supported, and cause errors if encountered. |
| 118 |
.P |
.P |
| 119 |
4. For the same reason, conditional expressions that use a backreference as the |
4. For the same reason, conditional expressions that use a backreference as the |
| 120 |
condition are not supported. |
condition or test for a specific group recursion are not supported. |
| 121 |
.P |
.P |
| 122 |
5. Callouts are supported, but the value of the \fIcapture_top\fP field is |
5. Callouts are supported, but the value of the \fIcapture_top\fP field is |
| 123 |
always 1, and the value of the \fIcapture_last\fP field is always -1. |
always 1, and the value of the \fIcapture_last\fP field is always -1. |
| 124 |
.P |
.P |
| 125 |
6. |
6. |
| 126 |
The \eC escape sequence, which (in the standard algorithm) matches a single |
The \eC escape sequence, which (in the standard algorithm) matches a single |
| 127 |
byte, even in UTF-8 mode, is not supported because the DFA algorithm moves |
byte, even in UTF-8 mode, is not supported because the alternative algorithm |
| 128 |
through the subject string one character at a time, for all active paths |
moves through the subject string one character at a time, for all active paths |
| 129 |
through the tree. |
through the tree. |
| 130 |
. |
. |
| 131 |
.SH "ADVANTAGES OF THE DFA ALGORITHM" |
.SH "ADVANTAGES OF THE ALTERNATIVE ALGORITHM" |
| 132 |
.rs |
.rs |
| 133 |
.sp |
.sp |
| 134 |
Using the DFA matching algorithm provides the following advantages: |
Using the alternative matching algorithm provides the following advantages: |
| 135 |
.P |
.P |
| 136 |
1. All possible matches (at a single point in the subject) are automatically |
1. All possible matches (at a single point in the subject) are automatically |
| 137 |
found, and in particular, the longest match is found. To find more than one |
found, and in particular, the longest match is found. To find more than one |
| 140 |
.P |
.P |
| 141 |
2. There is much better support for partial matching. The restrictions on the |
2. There is much better support for partial matching. The restrictions on the |
| 142 |
content of the pattern that apply when using the standard algorithm for partial |
content of the pattern that apply when using the standard algorithm for partial |
| 143 |
matching do not apply to the DFA algorithm. For non-anchored patterns, the |
matching do not apply to the alternative algorithm. For non-anchored patterns, |
| 144 |
starting position of a partial match is available. |
the starting position of a partial match is available. |
| 145 |
.P |
.P |
| 146 |
3. Because the DFA algorithm scans the subject string just once, and never |
3. Because the alternative algorithm scans the subject string just once, and |
| 147 |
needs to backtrack, it is possible to pass very long subject strings to the |
never needs to backtrack, it is possible to pass very long subject strings to |
| 148 |
matching function in several pieces, checking for partial matching each time. |
the matching function in several pieces, checking for partial matching each |
| 149 |
|
time. |
| 150 |
. |
. |
| 151 |
.SH "DISADVANTAGES OF THE DFA ALGORITHM" |
.SH "DISADVANTAGES OF THE ALTERNATIVE ALGORITHM" |
| 152 |
.rs |
.rs |
| 153 |
.sp |
.sp |
| 154 |
The DFA algorithm suffers from a number of disadvantages: |
The alternative algorithm suffers from a number of disadvantages: |
| 155 |
.P |
.P |
| 156 |
1. It is substantially slower than the standard algorithm. This is partly |
1. It is substantially slower than the standard algorithm. This is partly |
| 157 |
because it has to search for all possible matches, but is also because it is |
because it has to search for all possible matches, but is also because it is |
| 159 |
.P |
.P |
| 160 |
2. Capturing parentheses and back references are not supported. |
2. Capturing parentheses and back references are not supported. |
| 161 |
.P |
.P |
| 162 |
3. The "atomic group" feature of PCRE regular expressions is supported, but |
3. Although atomic groups are supported, their use does not provide the |
| 163 |
does not provide the advantage that it does for the standard algorithm. |
performance advantage that it does for the standard algorithm. |
| 164 |
.P |
.P |
| 165 |
.in 0 |
.in 0 |
| 166 |
Last updated: 06 June 2006 |
Last updated: 24 November 2006 |
| 167 |
.br |
.br |
| 168 |
Copyright (c) 1997-2006 University of Cambridge. |
Copyright (c) 1997-2006 University of Cambridge. |