longest_common_subsequence.py 2.1 KB

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  1. # Copyright (c) 2018 luozhouyang
  2. #
  3. # Permission is hereby granted, free of charge, to any person obtaining a copy
  4. # of this software and associated documentation files (the "Software"), to deal
  5. # in the Software without restriction, including without limitation the rights
  6. # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  7. # copies of the Software, and to permit persons to whom the Software is
  8. # furnished to do so, subject to the following conditions:
  9. #
  10. # The above copyright notice and this permission notice shall be included in all
  11. # copies or substantial portions of the Software.
  12. #
  13. # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  14. # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  15. # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  16. # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  17. # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  18. # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
  19. # SOFTWARE.
  20. from .string_distance import StringDistance
  21. class LongestCommonSubsequence(StringDistance):
  22. def distance(self, s0, s1):
  23. if s0 is None:
  24. raise TypeError("Argument s0 is NoneType.")
  25. if s1 is None:
  26. raise TypeError("Argument s1 is NoneType.")
  27. if s0 == s1:
  28. return 0.0
  29. return len(s0) + len(s1) - 2 * self.length(s0, s1)
  30. @staticmethod
  31. def length(s0, s1):
  32. if s0 is None:
  33. raise TypeError("Argument s0 is NoneType.")
  34. if s1 is None:
  35. raise TypeError("Argument s1 is NoneType.")
  36. s0_len, s1_len = len(s0), len(s1)
  37. x, y = s0[:], s1[:]
  38. n, m = s0_len + 1, s1_len + 1
  39. matrix = [[0] * m for _ in range(n)]
  40. for i in range(1, s0_len + 1):
  41. for j in range(1, s1_len + 1):
  42. if x[i - 1] == y[j - 1]:
  43. matrix[i][j] = matrix[i - 1][j - 1] + 1
  44. else:
  45. matrix[i][j] = max(matrix[i][j - 1], matrix[i - 1][j])
  46. return matrix[s0_len][s1_len]