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# -*- coding: utf-8 -*- |
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# Copyright 2014-2018 by Christopher C. Little. |
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# This file is part of Abydos. |
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# |
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# Abydos is free software: you can redistribute it and/or modify |
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# it under the terms of the GNU General Public License as published by |
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# the Free Software Foundation, either version 3 of the License, or |
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# (at your option) any later version. |
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# |
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# Abydos is distributed in the hope that it will be useful, |
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# but WITHOUT ANY WARRANTY; without even the implied warranty of |
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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# GNU General Public License for more details. |
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# |
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# You should have received a copy of the GNU General Public License |
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# along with Abydos. If not, see <http://www.gnu.org/licenses/>. |
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"""abydos.distance._jaccard. |
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Jaccard similarity coefficient, distance, & Tanimoto coefficient |
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""" |
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from __future__ import ( |
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absolute_import, |
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division, |
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print_function, |
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unicode_literals, |
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) |
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from math import log |
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from ._tversky import Tversky |
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__all__ = ['Jaccard', 'dist_jaccard', 'sim_jaccard', 'tanimoto'] |
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class Jaccard(Tversky): |
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r"""Jaccard similarity. |
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For two sets X and Y, the Jaccard similarity coefficient |
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:cite:`Jaccard:1901` is :math:`sim_{Jaccard}(X, Y) = |
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\frac{|X \cap Y|}{|X \cup Y|}`. |
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This is identical to the Tanimoto similarity coefficient |
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:cite:`Tanimoto:1958` |
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and the Tversky index :cite:`Tversky:1977` for |
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:math:`\alpha = \beta = 1`. |
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""" |
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def sim(self, src, tar, qval=2): |
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r"""Return the Jaccard similarity of two strings. |
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Parameters |
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---------- |
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src : str |
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Source string (or QGrams/Counter objects) for comparison |
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tar : str |
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Target string (or QGrams/Counter objects) for comparison |
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qval : int |
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The length of each q-gram; 0 for non-q-gram version |
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Returns |
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------- |
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float |
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Jaccard similarity |
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Examples |
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-------- |
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>>> cmp = Jaccard() |
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>>> cmp.sim('cat', 'hat') |
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0.3333333333333333 |
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>>> cmp.sim('Niall', 'Neil') |
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0.2222222222222222 |
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>>> cmp.sim('aluminum', 'Catalan') |
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0.0625 |
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>>> cmp.sim('ATCG', 'TAGC') |
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0.0 |
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""" |
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return super(self.__class__, self).sim(src, tar, qval, 1, 1) |
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def tanimoto_coeff(self, src, tar, qval=2): |
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"""Return the Tanimoto distance between two strings. |
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Tanimoto distance :cite:`Tanimoto:1958` is |
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:math:`-log_{2} sim_{Tanimoto}(X, Y)`. |
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Parameters |
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---------- |
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src : str |
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Source string (or QGrams/Counter objects) for comparison |
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tar : str |
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Target string (or QGrams/Counter objects) for comparison |
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qval : int |
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The length of each q-gram; 0 for non-q-gram version |
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Returns |
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------- |
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float |
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Tanimoto distance |
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Examples |
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-------- |
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>>> cmp = Jaccard() |
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>>> cmp.tanimoto_coeff('cat', 'hat') |
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-1.5849625007211563 |
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>>> cmp.tanimoto_coeff('Niall', 'Neil') |
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-2.1699250014423126 |
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>>> cmp.tanimoto_coeff('aluminum', 'Catalan') |
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-4.0 |
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>>> cmp.tanimoto_coeff('ATCG', 'TAGC') |
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-inf |
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""" |
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coeff = self.sim(src, tar, qval) |
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if coeff != 0: |
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return log(coeff, 2) |
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return float('-inf') |
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def sim_jaccard(src, tar, qval=2): |
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"""Return the Jaccard similarity of two strings. |
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This is a wrapper for :py:meth:`Jaccard.sim`. |
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Parameters |
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---------- |
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src : str |
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Source string (or QGrams/Counter objects) for comparison |
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tar : str |
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Target string (or QGrams/Counter objects) for comparison |
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qval : int |
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The length of each q-gram; 0 for non-q-gram version |
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Returns |
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------- |
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float |
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Jaccard similarity |
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Examples |
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-------- |
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>>> sim_jaccard('cat', 'hat') |
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0.3333333333333333 |
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>>> sim_jaccard('Niall', 'Neil') |
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0.2222222222222222 |
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>>> sim_jaccard('aluminum', 'Catalan') |
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0.0625 |
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>>> sim_jaccard('ATCG', 'TAGC') |
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0.0 |
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""" |
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return Jaccard().sim(src, tar, qval) |
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def dist_jaccard(src, tar, qval=2): |
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"""Return the Jaccard distance between two strings. |
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This is a wrapper for :py:meth:`Jaccard.dist`. |
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Parameters |
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---------- |
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src : str |
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Source string (or QGrams/Counter objects) for comparison |
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tar : str |
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Target string (or QGrams/Counter objects) for comparison |
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qval : int |
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The length of each q-gram; 0 for non-q-gram version |
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Returns |
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------- |
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float |
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Jaccard distance |
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Examples |
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-------- |
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>>> dist_jaccard('cat', 'hat') |
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0.6666666666666667 |
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>>> dist_jaccard('Niall', 'Neil') |
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0.7777777777777778 |
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>>> dist_jaccard('aluminum', 'Catalan') |
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0.9375 |
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>>> dist_jaccard('ATCG', 'TAGC') |
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1.0 |
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""" |
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return Jaccard().dist(src, tar, qval) |
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def tanimoto(src, tar, qval=2): |
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"""Return the Tanimoto coefficient of two strings. |
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This is a wrapper for :py:meth:`Jaccard.tanimoto_coeff`. |
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Parameters |
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---------- |
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src : str |
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Source string (or QGrams/Counter objects) for comparison |
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tar : str |
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Target string (or QGrams/Counter objects) for comparison |
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qval : int |
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The length of each q-gram; 0 for non-q-gram version |
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Returns |
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------- |
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float |
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Tanimoto distance |
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Examples |
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-------- |
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>>> tanimoto('cat', 'hat') |
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-1.5849625007211563 |
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>>> tanimoto('Niall', 'Neil') |
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-2.1699250014423126 |
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>>> tanimoto('aluminum', 'Catalan') |
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-4.0 |
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>>> tanimoto('ATCG', 'TAGC') |
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-inf |
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""" |
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return Jaccard().tanimoto_coeff(src, tar, qval) |
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if __name__ == '__main__': |
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import doctest |
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doctest.testmod() |
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