CoCalc -- langevin_hou_partial

Path: Boolean-Cayley-graphs/sage-code / langevin_hou_partial_spreads.sage
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r"""
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"""
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#*****************************************************************************
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#       Copyright (C) 2016 Paul Leopardi [email protected]
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#
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#  Distributed under the terms of the GNU General Public License (GPL)
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#  as published by the Free Software Foundation; either version 2 of
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#  the License, or (at your option) any later version.
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#                  http://www.gnu.org/licenses/
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#*****************************************************************************
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import re
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encoding = 'UTF-8'
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def read_langevin_hou_anf_list(anf_file):
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    r"""
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    Classification of partial spread functions in eight variables
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    http://langevin.univ-tln.fr/project/spread/psp.html
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    Langevin, Philippe, and Xiang-Dong Hou.
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    "Counting partial spread functions in eight variables."
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    IEEE Transactions on Information Theory 57, no. 4 (2011): 2263-2269.
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    """
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    R8.<x1,x2,x3,x4,x5,x6,x7,x8> = BooleanPolynomialRing(8)
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    anf_list = [None]
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    line = None
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    while line != '':
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        line = anf_file.readline().decode(encoding)
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        match = re.match('anf=(.*)', line)
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        if match != None:
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            anf_abbr = match.groups()[0]
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            anf_pass1 = re.sub('([1-8])', 'x\\1', anf_abbr)
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            anf = eval(re.sub('([1-8])x', '\\1*x', anf_pass1))
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            anf_list.append(anf)
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    anf_file.close()
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    return anf_list
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