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# -*- coding: utf-8 -*-
"""
Aho-Corasick string search algorithm.
Author : Wojciech Muła, wojciech_mula@poczta.onet.pl
WWW : http://0x80.pl
License : public domain
"""
from collections import deque
nil = object() # used to distinguish from None
class TrieNode(object):
"""
Node of trie/Aho-Corasick automaton
"""
__slots__ = ['char', 'output', 'fail', 'children']
def __init__(self, char):
"""
Constructs an empty node
"""
self.char = char # character
self.output = nil # an output function for this node
self.fail = nil # fail link used by Aho-Corasick automaton
self.children = {} # children
def __repr__(self):
"""
Textual representation of node.
"""
if self.output is not nil:
return "<TrieNode '%s' '%s'>" % (self.char, self.output)
else:
return "<TrieNode '%s'>" % self.char
class Trie(object):
"""
Trie/Aho-Corasick automaton.
"""
def __init__(self):
"""
Construct an empty trie
"""
self.root = TrieNode('')
def __get_node(self, word):
"""
Private function retrieving a final node of trie
for given word
Returns node or None, if the trie doesn't contain the word.
"""
node = self.root
for c in word:
try:
node = node.children[c]
except KeyError:
return None
return node
def get(self, word, default=nil):
"""
Retrieves output value associated with word.
If there is no word returns default value,
and if default is not given rises KeyError.
"""
node = self.__get_node(word)
output = nil
if node:
output = node.output
if output is nil:
if default is nil:
raise KeyError("no key '%s'" % word)
else:
return default
else:
return output
def keys(self):
"""
Generator returning all keys (i.e. word) stored in trie
"""
for key, _ in self.items():
yield key
def values(self):
"""
Generator returning all values associated with words stored in a trie.
"""
for _, value in self.items():
yield value
def items(self):
"""
Generator returning all keys and values stored in a trie.
"""
L = []
def aux(node, s):
s = s + node.char
if node.output is not nil:
L.append((s, node.output))
for child in node.children.values():
if child is not node:
aux(child, s)
aux(self.root, '')
return iter(L)
def __len__(self):
"""
Calculates number of words in a trie.
"""
stack = deque()
stack.append(self.root)
n = 0
while stack:
node = stack.pop()
if node.output is not nil:
n += 1
for child in node.children.values():
stack.append(child)
return n
def add_word(self, word, value):
"""
Adds word and associated value.
If word already exists, its value is replaced.
"""
if not word:
return
node = self.root
for c in word:
try:
node = node.children[c]
except KeyError:
n = TrieNode(c)
node.children[c] = n
node = n
node.output = value
def clear(self):
"""
Clears trie.
"""
self.root = TrieNode('')
def exists(self, word):
"""
Checks if whole word is present in the trie.
"""
node = self.__get_node(word)
if node:
return bool(node.output != nil)
else:
return False
def match(self, word):
"""
Checks if word is a prefix of any existing word in the trie.
"""
return (self.__get_node(word) is not None)
def make_automaton(self):
"""
Converts trie to Aho-Corasick automaton.
"""
queue = deque()
# 1.
for i in range(256):
c = chr(i)
if c in self.root.children:
node = self.root.children[c]
node.fail = self.root # f(s) = 0
queue.append(node)
else:
self.root.children[c] = self.root
# 2.
while queue:
r = queue.popleft()
for node in r.children.values():
queue.append(node)
state = r.fail
while node.char not in state.children:
state = state.fail
node.fail = state.children.get(node.char, self.root)
def iter(self, string):
"""
Generator performs Aho-Corasick search string algorithm, yielding
tuples containing two values:
- position in string
- outputs associated with matched strings
"""
state = self.root
for index, c in enumerate(string):
while c not in state.children:
state = state.fail
state = state.children.get(c, self.root)
tmp = state
output = []
while tmp is not nil:
if tmp.output is not nil:
output.append(tmp.output)
tmp = tmp.fail
if output:
yield (index, output)
def iter_long(self, string):
"""
Generator performs a modified Aho-Corasick search string algorithm,
which maches only the longest word.
"""
state = self.root
last = None
index = 0
while index < len(string):
c = string[index]
if c in state.children:
state = state.children[c]
if state.output is not nil:
# save the last node on the path
last = (state.output, index)
index += 1
else:
if last:
# return the saved match
yield last
# and start over, as we don't want overlapped results
# Note: this leads to quadratic complexity in the worst case
index = last[1] + 1
state = self.root
last = None
else:
# if no output, perform classic Aho-Corasick algorithm
while c not in state.children:
state = state.fail
# corner case
if last:
yield last
def find_all(self, string, callback):
"""
Wrapper on iter method, callback gets an iterator result
"""
for index, output in self.iter(string):
callback(index, output)
if __name__ == '__main__':
def demo():
words = "he hers his she hi him man".split()
t = Trie();
for w in words:
t.add_word(w, w)
s = "he rshershidamanza "
t.make_automaton()
for res in t.items():
print(res)
for res in t.iter(s):
print
print('%s' % s)
pos, matches = res
for fragment in matches:
print('%s%s' % ((pos - len(fragment) + 1)*' ', fragment))
demo()
def bug():
patterns = ['GT-C3303','SAMSUNG-GT-C3303K/']
text = 'SAMSUNG-GT-C3303i/1.0 NetFront/3.5 Profile/MIDP-2.0 Configuration/CLDC-1.1'
t = Trie()
for pattern in patterns:
ret = t.add_word(pattern, (0, pattern))
t.make_automaton()
res = list(t.iter(text))
assert len(res) == 1, 'failed'
bug()
# vim: ts=4 sw=4 nowrap
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