# Source code for abydos.distance._baulieu_x

# Copyright 2019-2020 by Christopher C. Little.
# This file is part of Abydos.
#
# Abydos is free software: you can redistribute it and/or modify
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# Abydos is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with Abydos. If not, see <http://www.gnu.org/licenses/>.

"""abydos.distance._baulieu_x.

Baulieu X distance
"""

from ._token_distance import _TokenDistance

__all__ = ['BaulieuX']

[docs]class BaulieuX(_TokenDistance):
r"""Baulieu X distance.

For two sets X and Y and a population N, Baulieu X distance
:cite:Baulieu:1997 is

.. math::

dist_{BaulieuX}(X, Y) = \frac{|X \setminus Y| + |Y \setminus X| +
max(|X \setminus Y|, |Y \setminus X|)}{|N| +
max(|X \setminus Y|, |Y \setminus X|)}

This is Baulieu's 28th dissimilarity coefficient. This coefficient fails
Baulieu's (P8) property, that :math:D is a rational function whose
numerator and denominator are both (total) linear.

In :ref:2x2 confusion table terms <confusion_table>, where a+b+c+d=n,
this is

.. math::

dist_{BaulieuX} = \frac{b+c+max(b,c)}{n+max(b,c)}

"""

def __init__(
self,
alphabet=None,
tokenizer=None,
intersection_type='crisp',
**kwargs
):
"""Initialize BaulieuX instance.

Parameters
----------
alphabet : Counter, collection, int, or None
This represents the alphabet of possible tokens.
See :ref:alphabet <alphabet> description in
:py:class:_TokenDistance for details.
tokenizer : _Tokenizer
A tokenizer instance from the :py:mod:abydos.tokenizer package
intersection_type : str
Specifies the intersection type, and set type as a result:
See :ref:intersection_type <intersection_type> description in
:py:class:_TokenDistance for details.
**kwargs
Arbitrary keyword arguments

Other Parameters
----------------
qval : int
The length of each q-gram. Using this parameter and tokenizer=None
will cause the instance to use the QGram tokenizer with this
q value.
metric : _Distance
A string distance measure class for use in the soft and
fuzzy variants.
threshold : float
A threshold value, similarities above which are counted as
members of the intersection for the fuzzy variant.

"""
super(BaulieuX, self).__init__(
alphabet=alphabet,
tokenizer=tokenizer,
intersection_type=intersection_type,
**kwargs
)

[docs]    def dist(self, src, tar):
"""Return the Baulieu X distance of two strings.

Parameters
----------
src : str
Source string (or QGrams/Counter objects) for comparison
tar : str
Target string (or QGrams/Counter objects) for comparison

Returns
-------
float
Baulieu X distance

Examples
--------
>>> cmp = BaulieuX()
>>> cmp.dist('cat', 'hat')
0.007633587786259542
>>> cmp.dist('Niall', 'Neil')
0.013959390862944163
>>> cmp.dist('aluminum', 'Catalan')
0.029003783102143757
>>> cmp.dist('ATCG', 'TAGC')
0.019011406844106463

"""
self._tokenize(src, tar)

b = self._src_only_card()
c = self._tar_only_card()
n = self._population_unique_card()

num = b + c + max(b, c)

if num == 0.0:
return 0.0
return num / (n + max(b, c))

if __name__ == '__main__':
import doctest

doctest.testmod()