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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.compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                The distance.compression module implements compression distance measures.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from __future__ import division, unicode_literals  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from codecs import encode  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from sys import modules  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ..compression import arithmetic, rle  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                try:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    import lzma  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                except ImportError:  # pragma: no cover  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # If the system lacks the lzma library, that's fine, but lzma compression  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # similarity won't be supported.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lzma = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                __all__ = ['dist_ncd_arith', 'dist_ncd_bwtrle', 'dist_ncd_bz2',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                           'dist_ncd_lzma', 'dist_ncd_rle', 'dist_ncd_zlib', 'sim_ncd_arith',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                           'sim_ncd_bwtrle', 'sim_ncd_bz2', 'sim_ncd_lzma', 'sim_ncd_rle',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                           'sim_ncd_zlib']  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def dist_ncd_arith(src, tar, probs=None):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Return the NCD between two strings using arithmetic coding.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param dict probs: a dictionary trained with arithmetic.train (for the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        arith compressor only)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :returns: compression distance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_arith('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.5454545454545454  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_arith('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.6875  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_arith('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.8275862068965517  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_arith('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.6923076923076923  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if src == tar:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return 0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if probs is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # lacking a reasonable dictionary, train on the strings themselves  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        probs = arithmetic.train(src + tar)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    src_comp = arithmetic.encode(src, probs)[1]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    tar_comp = arithmetic.encode(tar, probs)[1]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    concat_comp = arithmetic.encode(src + tar, probs)[1]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    concat_comp2 = arithmetic.encode(tar + src, probs)[1]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return ((min(concat_comp, concat_comp2) - min(src_comp, tar_comp)) /  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            max(src_comp, tar_comp))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    80
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                def sim_ncd_arith(src, tar, probs=None):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    81
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                    """Return the NCD similarity between two strings using arithmetic coding.  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    84
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                    :param str src: source string for comparison  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    :param str tar: target string for comparison  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    :param dict probs: a dictionary trained with arithmetic.train (for the  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        arith compressor only)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    :returns: compression similarity  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    90
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                    :rtype: float  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    >>> sim_ncd_arith('cat', 'hat') | 
            
            
                                                                        
                            
            
                                    
            
            
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                    93
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                    0.4545454545454546  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    >>> sim_ncd_arith('Niall', 'Neil') | 
            
            
                                                                        
                            
            
                                    
            
            
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                    95
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                    0.3125  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    96
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                    >>> sim_ncd_arith('aluminum', 'Catalan') | 
            
            
                                                                        
                            
            
                                    
            
            
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                    97
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                    0.1724137931034483  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    >>> sim_ncd_arith('ATCG', 'TAGC') | 
            
            
                                                                        
                            
            
                                    
            
            
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                    99
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                    0.3076923076923077  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    100
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                    """  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    101
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                    return 1-dist_ncd_arith(src, tar, probs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    102
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                    103
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                    104
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                def dist_ncd_rle(src, tar, use_bwt=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    105
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                    """Return the NCD between two strings using RLE.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    106
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                    107
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    108
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                    109
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                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    110
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                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    111
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                    :param bool use_bwt: boolean indicating whether to perform BWT encoding  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    112
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                        before RLE encoding  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    113
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                    :returns: compression distance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    114
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                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    115
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                    116
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                    >>> dist_ncd_rle('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    117
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                    1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    118
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                    >>> dist_ncd_rle('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    119
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                    1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    120
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                    >>> dist_ncd_rle('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    121
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                    1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    122
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                    >>> dist_ncd_rle('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    123
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                    1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    124
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if src == tar:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    126
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                        return 0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    127
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                    128
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                    src_comp = rle.encode(src, use_bwt)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    129
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                    tar_comp = rle.encode(tar, use_bwt)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    130
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                    concat_comp = rle.encode(src + tar, use_bwt)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    131
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                    concat_comp2 = rle.encode(tar + src, use_bwt)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    132
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                    return ((min(len(concat_comp), len(concat_comp2)) -  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                             min(len(src_comp), len(tar_comp))) /  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                            max(len(src_comp), len(tar_comp)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                def sim_ncd_rle(src, tar, use_bwt=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the NCD similarity between two strings using RLE.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                    :param bool use_bwt: boolean indicating whether to perform BWT encoding  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                        before RLE encoding  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                    :returns: compression similarity  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_rle('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                    0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_rle('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                    0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_rle('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                    0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_rle('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                    0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                    return 1 - dist_ncd_rle(src, tar, use_bwt)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                def dist_ncd_bwtrle(src, tar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the NCD between two strings using BWT plus RLE.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    :returns: compression distance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_bwtrle('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                    0.75  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_bwtrle('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                    0.8333333333333334  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_bwtrle('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                    1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_bwtrle('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                    0.8  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                    return dist_ncd_rle(src, tar, True)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                def sim_ncd_bwtrle(src, tar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the NCD similarity between two strings using BWT plus RLE.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    :returns: compression similarity  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_bwtrle('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                    0.25  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_bwtrle('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                    0.16666666666666663  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_bwtrle('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                    0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_bwtrle('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                    0.19999999999999996  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                    return 1 - dist_ncd_bwtrle(src, tar)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def dist_ncd_zlib(src, tar):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the NCD between two strings using zlib compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                    :returns: compression distance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_zlib('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                    0.3333333333333333  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_zlib('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                    0.45454545454545453  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_zlib('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                    0.5714285714285714  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                    >>> dist_ncd_zlib('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                    0.4  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                    if src == tar:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                        return 0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                    src = src.encode('utf-8') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                    tar = tar.encode('utf-8') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                    src_comp = encode(src, 'zlib_codec')[2:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                    tar_comp = encode(tar, 'zlib_codec')[2:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                    concat_comp = encode(src + tar, 'zlib_codec')[2:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                    concat_comp2 = encode(tar + src, 'zlib_codec')[2:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                    return ((min(len(concat_comp), len(concat_comp2)) -  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                             min(len(src_comp), len(tar_comp))) /  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                            max(len(src_comp), len(tar_comp)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                def sim_ncd_zlib(src, tar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the NCD similarity between two strings using zlib compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                    :returns: compression similarity  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_zlib('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                    0.6666666666666667  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_zlib('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                    0.5454545454545454  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_zlib('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                    0.4285714285714286  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_zlib('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                    0.6  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                    return 1 - dist_ncd_zlib(src, tar)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    263
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                View Code Duplication | 
                def dist_ncd_bz2(src, tar):  | 
            
                            
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                    """Return the NCD between two strings using bz2 compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :returns: compression distance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_bz2('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.08  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_bz2('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.037037037037037035  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_bz2('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.20689655172413793  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> dist_ncd_bz2('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.037037037037037035  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if src == tar:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return 0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    src = src.encode('utf-8') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    tar = tar.encode('utf-8') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    src_comp = encode(src, 'bz2_codec')[15:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    tar_comp = encode(tar, 'bz2_codec')[15:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    concat_comp = encode(src + tar, 'bz2_codec')[15:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    concat_comp2 = encode(tar + src, 'bz2_codec')[15:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return ((min(len(concat_comp), len(concat_comp2)) -  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             min(len(src_comp), len(tar_comp))) /  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            max(len(src_comp), len(tar_comp)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def sim_ncd_bz2(src, tar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Return the NCD similarity between two strings using bz2 compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :returns: compression similarity  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> sim_ncd_bz2('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.92  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> sim_ncd_bz2('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.962962962962963  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> sim_ncd_bz2('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    0.7931034482758621  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    314
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                    >>> sim_ncd_bz2('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    315
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                    0.962962962962963  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return 1 - dist_ncd_bz2(src, tar)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def dist_ncd_lzma(src, tar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    321
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                    """Return the NCD between two strings using lzma compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    323
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    324
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                    325
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                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    326
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                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    327
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                    :returns: compression distance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    328
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                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    330
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                    >>> dist_ncd_lzma('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    331
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                    0.08695652173913043  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    332
                 | 
                                    
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                    >>> dist_ncd_lzma('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
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                    0.16  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    334
                 | 
                                    
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                    >>> dist_ncd_lzma('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    335
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                    0.16  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    336
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                    >>> dist_ncd_lzma('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    337
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                    0.08695652173913043  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    338
                 | 
                                    
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    339
                 | 
                                    
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                    if src == tar:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    340
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                        return 0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    341
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                    342
                 | 
                                    
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                    src = src.encode('utf-8') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    343
                 | 
                                    
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                    tar = tar.encode('utf-8') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    345
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                    if 'lzma' in modules:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    346
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                        src_comp = lzma.compress(src)[14:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    347
                 | 
                                    
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                        tar_comp = lzma.compress(tar)[14:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
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                        concat_comp = lzma.compress(src + tar)[14:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
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                 | 
                        concat_comp2 = lzma.compress(tar + src)[14:]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
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                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    351
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                        raise ValueError('Install the PylibLZMA module in order to use lzma ' + | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
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                 | 
                                         'compression similarity')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    354
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                    return ((min(len(concat_comp), len(concat_comp2)) -  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
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                             min(len(src_comp), len(tar_comp))) /  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                                                     | 
                
                 | 
                            max(len(src_comp), len(tar_comp)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    358
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                | 
                    359
                 | 
                                    
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                 | 
                def sim_ncd_lzma(src, tar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the NCD similarity between two strings using lzma compression.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
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                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
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                    Normalized compression distance (NCD) :cite:`Cilibrasi:2005`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
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                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
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                 | 
                    :param str src: source string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                                                     | 
                
                 | 
                    :param str tar: target string for comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
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                 | 
                    :returns: compression similarity  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
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                 | 
                    :rtype: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
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                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_lzma('cat', 'hat') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                                                     | 
                
                 | 
                    0.9130434782608696  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_lzma('Niall', 'Neil') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                    0.84  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_lzma('aluminum', 'Catalan') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                                                     | 
                
                 | 
                    0.84  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                                                     | 
                
                 | 
                    >>> sim_ncd_lzma('ATCG', 'TAGC') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                    0.9130434782608696  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                    return 1 - dist_ncd_lzma(src, tar)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                if __name__ == '__main__':  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                    import doctest  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                    doctest.testmod()  | 
            
            
                                                        
            
                                    
            
            
                | 
                    384
                 | 
                                    
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                 | 
                 |