16 |
<li><a name="TOC1" href="#SEC1">PCRE MATCHING ALGORITHMS</a> |
<li><a name="TOC1" href="#SEC1">PCRE MATCHING ALGORITHMS</a> |
17 |
<li><a name="TOC2" href="#SEC2">REGULAR EXPRESSIONS AS TREES</a> |
<li><a name="TOC2" href="#SEC2">REGULAR EXPRESSIONS AS TREES</a> |
18 |
<li><a name="TOC3" href="#SEC3">THE STANDARD MATCHING ALGORITHM</a> |
<li><a name="TOC3" href="#SEC3">THE STANDARD MATCHING ALGORITHM</a> |
19 |
<li><a name="TOC4" href="#SEC4">THE DFA MATCHING ALGORITHM</a> |
<li><a name="TOC4" href="#SEC4">THE ALTERNATIVE MATCHING ALGORITHM</a> |
20 |
<li><a name="TOC5" href="#SEC5">ADVANTAGES OF THE DFA ALGORITHM</a> |
<li><a name="TOC5" href="#SEC5">ADVANTAGES OF THE ALTERNATIVE ALGORITHM</a> |
21 |
<li><a name="TOC6" href="#SEC6">DISADVANTAGES OF THE DFA ALGORITHM</a> |
<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> |
</ul> |
25 |
<br><a name="SEC1" href="#TOC1">PCRE MATCHING ALGORITHMS</a><br> |
<br><a name="SEC1" href="#TOC1">PCRE MATCHING ALGORITHMS</a><br> |
26 |
<P> |
<P> |
48 |
<something> <something else> <something further> |
<something> <something else> <something further> |
49 |
</pre> |
</pre> |
50 |
there are three possible answers. The standard algorithm finds only one of |
there are three possible answers. The standard algorithm finds only one of |
51 |
them, whereas the DFA algorithm finds all three. |
them, whereas the alternative algorithm finds all three. |
52 |
</P> |
</P> |
53 |
<br><a name="SEC2" href="#TOC1">REGULAR EXPRESSIONS AS TREES</a><br> |
<br><a name="SEC2" href="#TOC1">REGULAR EXPRESSIONS AS TREES</a><br> |
54 |
<P> |
<P> |
56 |
as a tree structure. An unlimited repetition in the pattern makes the tree of |
as a tree structure. An unlimited repetition in the pattern makes the tree of |
57 |
infinite size, but it is still a tree. Matching the pattern to a given subject |
infinite size, but it is still a tree. Matching the pattern to a given subject |
58 |
string (from a given starting point) can be thought of as a search of the tree. |
string (from a given starting point) can be thought of as a search of the tree. |
59 |
There are two standard ways to search a tree: depth-first and breadth-first, |
There are two ways to search a tree: depth-first and breadth-first, and these |
60 |
and these correspond to the two matching algorithms provided by PCRE. |
correspond to the two matching algorithms provided by PCRE. |
61 |
</P> |
</P> |
62 |
<br><a name="SEC3" href="#TOC1">THE STANDARD MATCHING ALGORITHM</a><br> |
<br><a name="SEC3" href="#TOC1">THE STANDARD MATCHING ALGORITHM</a><br> |
63 |
<P> |
<P> |
85 |
matched by portions of the pattern in parentheses. This provides support for |
matched by portions of the pattern in parentheses. This provides support for |
86 |
capturing parentheses and back references. |
capturing parentheses and back references. |
87 |
</P> |
</P> |
88 |
<br><a name="SEC4" href="#TOC1">THE DFA MATCHING ALGORITHM</a><br> |
<br><a name="SEC4" href="#TOC1">THE ALTERNATIVE MATCHING ALGORITHM</a><br> |
89 |
<P> |
<P> |
90 |
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 |
91 |
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 |
92 |
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 |
93 |
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, |
94 |
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 |
95 |
valid matches. |
traditional finite state machine (it keeps multiple states active |
96 |
|
simultaneously). |
97 |
</P> |
</P> |
98 |
<P> |
<P> |
99 |
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 |
117 |
</P> |
</P> |
118 |
<P> |
<P> |
119 |
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 |
120 |
supported by the DFA matching algorithm. They are as follows: |
supported by the alternative matching algorithm. They are as follows: |
121 |
</P> |
</P> |
122 |
<P> |
<P> |
123 |
1. Because the algorithm finds all possible matches, the greedy or ungreedy |
1. Because the algorithm finds all possible matches, the greedy or ungreedy |
124 |
nature of repetition quantifiers is not relevant. Greedy and ungreedy |
nature of repetition quantifiers is not relevant. Greedy and ungreedy |
125 |
quantifiers are treated in exactly the same way. |
quantifiers are treated in exactly the same way. However, possessive |
126 |
|
quantifiers can make a difference when what follows could also match what is |
127 |
|
quantified, for example in a pattern like this: |
128 |
|
<pre> |
129 |
|
^a++\w! |
130 |
|
</pre> |
131 |
|
This pattern matches "aaab!" but not "aaa!", which would be matched by a |
132 |
|
non-possessive quantifier. Similarly, if an atomic group is present, it is |
133 |
|
matched as if it were a standalone pattern at the current point, and the |
134 |
|
longest match is then "locked in" for the rest of the overall pattern. |
135 |
</P> |
</P> |
136 |
<P> |
<P> |
137 |
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 |
145 |
</P> |
</P> |
146 |
<P> |
<P> |
147 |
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 |
148 |
condition are not supported. |
condition or test for a specific group recursion are not supported. |
149 |
</P> |
</P> |
150 |
<P> |
<P> |
151 |
5. Callouts are supported, but the value of the <i>capture_top</i> field is |
5. Callouts are supported, but the value of the <i>capture_top</i> field is |
154 |
<P> |
<P> |
155 |
6. |
6. |
156 |
The \C escape sequence, which (in the standard algorithm) matches a single |
The \C escape sequence, which (in the standard algorithm) matches a single |
157 |
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 |
158 |
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 |
159 |
through the tree. |
through the tree. |
160 |
</P> |
</P> |
161 |
<br><a name="SEC5" href="#TOC1">ADVANTAGES OF THE DFA ALGORITHM</a><br> |
<br><a name="SEC5" href="#TOC1">ADVANTAGES OF THE ALTERNATIVE ALGORITHM</a><br> |
162 |
<P> |
<P> |
163 |
Using the DFA matching algorithm provides the following advantages: |
Using the alternative matching algorithm provides the following advantages: |
164 |
</P> |
</P> |
165 |
<P> |
<P> |
166 |
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 |
171 |
<P> |
<P> |
172 |
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 |
173 |
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 |
174 |
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, |
175 |
starting position of a partial match is available. |
the starting position of a partial match is available. |
176 |
</P> |
</P> |
177 |
<P> |
<P> |
178 |
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 |
179 |
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 |
180 |
matching function in several pieces, checking for partial matching each time. |
the matching function in several pieces, checking for partial matching each |
181 |
|
time. |
182 |
</P> |
</P> |
183 |
<br><a name="SEC6" href="#TOC1">DISADVANTAGES OF THE DFA ALGORITHM</a><br> |
<br><a name="SEC6" href="#TOC1">DISADVANTAGES OF THE ALTERNATIVE ALGORITHM</a><br> |
184 |
<P> |
<P> |
185 |
The DFA algorithm suffers from a number of disadvantages: |
The alternative algorithm suffers from a number of disadvantages: |
186 |
</P> |
</P> |
187 |
<P> |
<P> |
188 |
1. It is substantially slower than the standard algorithm. This is partly |
1. It is substantially slower than the standard algorithm. This is partly |
193 |
2. Capturing parentheses and back references are not supported. |
2. Capturing parentheses and back references are not supported. |
194 |
</P> |
</P> |
195 |
<P> |
<P> |
196 |
3. The "atomic group" feature of PCRE regular expressions is supported, but |
3. Although atomic groups are supported, their use does not provide the |
197 |
does not provide the advantage that it does for the standard algorithm. |
performance advantage that it does for the standard algorithm. |
198 |
|
</P> |
199 |
|
<br><a name="SEC7" href="#TOC1">AUTHOR</a><br> |
200 |
|
<P> |
201 |
|
Philip Hazel |
202 |
|
<br> |
203 |
|
University Computing Service |
204 |
|
<br> |
205 |
|
Cambridge CB2 3QH, England. |
206 |
|
<br> |
207 |
</P> |
</P> |
208 |
|
<br><a name="SEC8" href="#TOC1">REVISION</a><br> |
209 |
<P> |
<P> |
210 |
Last updated: 28 February 2005 |
Last updated: 06 March 2007 |
211 |
|
<br> |
212 |
|
Copyright © 1997-2007 University of Cambridge. |
213 |
<br> |
<br> |
|
Copyright © 1997-2005 University of Cambridge. |
|
214 |
<p> |
<p> |
215 |
Return to the <a href="index.html">PCRE index page</a>. |
Return to the <a href="index.html">PCRE index page</a>. |
216 |
</p> |
</p> |