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# -*- coding: utf-8 -*- |
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# Copyright 2019 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._baulieu_xi. |
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Baulieu XI distance |
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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 ._token_distance import _TokenDistance |
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__all__ = ['BaulieuXI'] |
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class BaulieuXI(_TokenDistance): |
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r"""Baulieu XI distance. |
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For two sets X and Y and a population N, Baulieu XI distance |
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:cite:`Baulieu:1997` is |
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.. math:: |
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dist_{BaulieuXI}(X, Y) = \frac{|X \setminus Y| + |Y \setminus X|} |
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{|X \setminus Y| + |Y \setminus X| + |(N \setminus X) \setminus Y|} |
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This is Baulieu's 29th dissimilarity coefficient. This coefficient fails |
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Baulieu's (P4) property, that :math:`D(a+1,b,c,d) \leq D(a,b,c,d) = 0` |
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with equality holding iff :math:`D(a,b,c,d) = 0`. |
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In :ref:`2x2 confusion table terms <confusion_table>`, where a+b+c+d=n, |
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this is |
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.. math:: |
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dist_{BaulieuXI} = \frac{b+c}{b+c+d} |
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.. versionadded:: 0.4.0 |
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""" |
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def __init__( |
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self, |
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alphabet=None, |
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tokenizer=None, |
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intersection_type='crisp', |
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**kwargs |
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): |
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"""Initialize BaulieuXI instance. |
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Parameters |
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---------- |
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alphabet : Counter, collection, int, or None |
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This represents the alphabet of possible tokens. |
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See :ref:`alphabet <alphabet>` description in |
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:py:class:`_TokenDistance` for details. |
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tokenizer : _Tokenizer |
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A tokenizer instance from the :py:mod:`abydos.tokenizer` package |
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intersection_type : str |
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Specifies the intersection type, and set type as a result: |
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See :ref:`intersection_type <intersection_type>` description in |
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:py:class:`_TokenDistance` for details. |
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**kwargs |
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Arbitrary keyword arguments |
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Other Parameters |
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---------------- |
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qval : int |
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The length of each q-gram. Using this parameter and tokenizer=None |
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will cause the instance to use the QGram tokenizer with this |
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q value. |
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metric : _Distance |
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A string distance measure class for use in the ``soft`` and |
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``fuzzy`` variants. |
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threshold : float |
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A threshold value, similarities above which are counted as |
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members of the intersection for the ``fuzzy`` variant. |
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.. versionadded:: 0.4.0 |
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""" |
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super(BaulieuXI, self).__init__( |
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alphabet=alphabet, |
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tokenizer=tokenizer, |
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intersection_type=intersection_type, |
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**kwargs |
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) |
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def dist(self, src, tar): |
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"""Return the Baulieu XI distance 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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Returns |
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------- |
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float |
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Baulieu XI distance |
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Examples |
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-------- |
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>>> cmp = BaulieuXI() |
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>>> cmp.dist('cat', 'hat') |
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0.005115089514066497 |
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>>> cmp.dist('Niall', 'Neil') |
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0.008951406649616368 |
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>>> cmp.dist('aluminum', 'Catalan') |
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0.01913265306122449 |
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>>> cmp.dist('ATCG', 'TAGC') |
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0.012755102040816327 |
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.. versionadded:: 0.4.0 |
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""" |
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if src == tar: |
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return 0.0 |
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self._tokenize(src, tar) |
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bpc = self._src_only_card() + self._tar_only_card() |
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d = self._total_complement_card() |
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if bpc: |
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return bpc / (bpc + d) |
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return 0.0 |
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if __name__ == '__main__': |
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import doctest |
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doctest.testmod() |
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chrislit /
abydos
