# mod_37_36.py - functions for performing the ISO 7064 Mod 37, 36 algorithm # # Copyright (C) 2010-2021 Arthur de Jong # # This library is free software; you can redistribute it and/or # modify it under the terms of the GNU Lesser General Public # License as published by the Free Software Foundation; either # version 2.1 of the License, or (at your option) any later version. # # This library is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU # Lesser General Public License for more details. # # You should have received a copy of the GNU Lesser General Public # License along with this library; if not, write to the Free Software # Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA # 02110-1301 USA """The ISO 7064 Mod 37, 36 algorithm. The Mod 37, 36 algorithm uses an alphanumeric check digit and the number itself may also contain letters. >>> checksum('A12425GABC1234002M') 1 >>> calc_check_digit('A12425GABC1234002') 'M' >>> validate('A12425GABC1234002M') 'A12425GABC1234002M' By changing the alphabet this can be turned into any Mod x+1, x algorithm. For example Mod 11, 10: >>> calc_check_digit('00200667308', alphabet='0123456789') '5' >>> validate('002006673085', alphabet='0123456789') '002006673085' """ from stdnum.exceptions import * def checksum(number, alphabet='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'): """Calculate the checksum. A valid number should have a checksum of 1.""" modulus = len(alphabet) check = modulus // 2 for n in number: check = (((check or modulus) * 2) % (modulus + 1) + alphabet.index(n)) % modulus return check def calc_check_digit(number, alphabet='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'): """Calculate the extra digit that should be appended to the number to make it a valid number.""" modulus = len(alphabet) return alphabet[(1 - ((checksum(number, alphabet) or modulus) * 2) % (modulus + 1)) % modulus] def validate(number, alphabet='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'): """Check whether the check digit is valid.""" try: valid = checksum(number, alphabet) == 1 except Exception: # noqa: B902 raise InvalidFormat() if not valid: raise InvalidChecksum() return number def is_valid(number, alphabet='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'): """Check whether the check digit is valid.""" try: return bool(validate(number, alphabet)) except ValidationError: return False