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# Source Code for Module translate.search.lshtein

      1  #!/usr/bin/env python
      2  # -*- coding: utf-8 -*-
      3  #
      4  # Copyright 2006-2009 Zuza Software Foundation
      5  #
      6  # This file is part of translate.
      7  #
      8  # This program is free software; you can redistribute it and/or modify
      9  # it under the terms of the GNU General Public License as published by
     10  # the Free Software Foundation; either version 2 of the License, or
     11  # (at your option) any later version.
     12  #
     13  # This program is distributed in the hope that it will be useful,
     14  # but WITHOUT ANY WARRANTY; without even the implied warranty of
     15  # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
     16  # GNU General Public License for more details.
     17  #
     18  # You should have received a copy of the GNU General Public License
     19  # along with this program; if not, see <http://www.gnu.org/licenses/>.
     20
     21  """A class to calculate a similarity based on the Levenshtein
     22  distance. See http://en.wikipedia.org/wiki/Levenshtein_distance.
     23
     24  If available, the python-Levenshtein package will be used which will provide
     25  better performance as it is implemented natively. See
     26  http://trific.ath.cx/python/levenshtein/
     27  """
     28
     29  import math
     30  import sys
     31
     32 -def python_distance(a, b, stopvalue=-1):
     33      """Calculates the distance for use in similarity calculation. Python
     34      version."""
     35      l1 = len(a)
     36      l2 = len(b)
     37      if stopvalue == -1:
     38          stopvalue = l2
     39      current = range(l1+1)
     40      for i in range(1, l2+1):
     41          previous, current = current, [i]+[0]*l1
     42          least = l2
     43          for j in range(1, l1 + 1):
     44              change = previous[j-1]
     45              if a[j-1] != b[i-1]:
     46                  change = change + 1
     47              insert = previous[j] + 1
     48              delete = current[j-1] + 1
     49              current[j] = min(insert, delete, change)
     50              if least > current[j]:
     51                  least = current[j]
     52          #The smallest value in the current array is the best (lowest) value
     53          #that can be attained in the end if the strings are identical further
     54          if least > stopvalue:
     55              return least
     56
     57      return current[l1]
     58
     59 -def native_distance(a, b, stopvalue=0):
     60      """Same as python_distance in functionality. This uses the fast C
     61      version if we detected it earlier.
     62
     63      Note that this does not support arbitrary sequence types, but only
     64      string types."""
     65      return Levenshtein.distance(a, b)
     66
     67  try:
     68      import Levenshtein as Levenshtein
     69      distance = native_distance
     70  except Exception:
     71      import logging
     72      logging.warning("Python-Levenshtein not found. Continuing with built-in (slower) fuzzy matching.")
     73      distance = python_distance
     74
     75 -class LevenshteinComparer:
     76 -    def __init__(self, max_len=200):
     77          self.MAX_LEN = max_len
     78
     79 -    def similarity(self, a, b, stoppercentage=40):
     80          similarity = self.similarity_real(a, b, stoppercentage)
     81          measurements = 1
     82
     83  #        chr_a = segment.characters(a)
     84  #        chr_b = segment.characters(b)
     85  #        if chr_a and chr_b and abs(len(chr_a) - len(a)) + abs(len(chr_b) - len(b)):
     86  #            similarity += self.similarity_real(chr_a, chr_b, stoppercentage)
     87  #            measurements += 1
     88  #        else:
     89  #            similarity *= 2
     90  #            measurements += 1
     91  #
     92  #        wrd_a = segment.words(a)
     93  #        wrd_b = segment.words(b)
     94  #        if len(wrd_a) + len(wrd_b) > 2:
     95  #            similarity += self.similarity_real(wrd_a, wrd_b, 0)
     96  #            measurements += 1
     97          return similarity / measurements
     98
     99 -    def similarity_real(self, a, b, stoppercentage=40):
    100          """Returns the similarity between a and b based on Levenshtein distance. It
    101             can stop prematurely as soon as it sees that a and b will be no simmilar than
    102             the percentage specified in stoppercentage.
    103
    104             The Levenshtein distance is calculated, but the following should be noted:
    105                 - Only the first MAX_LEN characters are considered. Long strings differing
    106                   at the end will therefore seem to match better than they should. See the
    107                   use of the variable penalty to lessen the effect of this.
    108                 - Strings with widely different lengths give the opportunity for shortcut.
    109                   This is by definition of the Levenshtein distance: the distance will be
    110                   at least as much as the difference in string length.
    111                 - Calculation is stopped as soon as a similarity of stoppercentage becomes
    112                   unattainable. See the use of the variable stopvalue.
    113                 - Implementation uses memory O(min(len(a), len(b))
    114                 - Excecution time is O(len(a)*len(b))
    115          """
    116          l1, l2 = len(a), len(b)
    117          if l1 == 0 or l2 == 0:
    118              return 0
    119          #Let's make l1 the smallest
    120          if l1 > l2:
    121              l1, l2 = l2, l1
    122              a, b = b, a
    123
    124          #maxsimilarity is the maximum similarity that can be attained as constrained
    125          #by the difference in string length
    126          maxsimilarity = 100 - 100.0*abs(l1 - l2)/l2
    127          if maxsimilarity < stoppercentage:
    128              return maxsimilarity * 1.0
    129
    130          #Let's penalise the score in cases where we shorten strings
    131          penalty = 0
    132          if l2 > self.MAX_LEN:
    133              b = b[:self.MAX_LEN]
    134              l2 = self.MAX_LEN
    135              penalty += 7
    136              if l1 > self.MAX_LEN:
    137                  a = a[:self.MAX_LEN]
    138                  l1 = self.MAX_LEN
    139                  penalty += 7
    140
    141          #The actual value in the array that would represent a giveup situation:
    142          stopvalue = math.ceil((100.0 - stoppercentage)/100 * l2)
    143          dist = distance(a, b, stopvalue)
    144          if dist > stopvalue:
    145              return stoppercentage - 1.0
    146
    147          #If MAX_LEN came into play, we consider the calculated distance to be
    148          #representative of the distance between the whole, untrimmed strings
    149          if dist != 0:
    150              penalty = 0
    151          return 100 - (dist*1.0/l2)*100 - penalty
    152
    153
    154  if __name__ == "__main__":
    155      from sys import argv
    156      comparer = LevenshteinComparer()
    157      print "Similarity:\n%s" % comparer.similarity(argv[1], argv[2], 50)
    158