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# luhn.py - functions for performing the Luhn and Luhn mod N algorithms # # Copyright (C) 2010, 2011, 2012, 2013 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 Luhn and Luhn mod N algorithms. The Luhn algorithm is used to detect most accidental errors in various identification numbers. >>> validate('7894') Traceback (most recent call last): ... InvalidChecksum: ... >>> checksum('7894') 6 >>> calc_check_digit('7894') '9' >>> validate('78949') '78949' An alternative alphabet can be provided to use the Luhn mod N algorithm. The default alphabet is '0123456789'. >>> validate('1234', alphabet='0123456789abcdef') Traceback (most recent call last): ... InvalidChecksum: ... >>> checksum('1234', alphabet='0123456789abcdef') 14 """ from stdnum.exceptions import * def checksum(number, alphabet='0123456789'): """Calculate the Luhn checksum over the provided number. The checksum is returned as an int. Valid numbers should have a checksum of 0.""" n = len(alphabet) number = tuple(alphabet.index(i) for i in reversed(str(number))) return (sum(number[::2]) + sum(sum(divmod(i * 2, n)) for i in number[1::2])) % n def validate(number, alphabet='0123456789'): """Checks to see if the number provided passes the Luhn checksum.""" if not bool(number): raise InvalidFormat() try: valid = checksum(number, alphabet) == 0 except Exception: raise InvalidFormat() if not valid: raise InvalidChecksum() return number def is_valid(number, alphabet='0123456789'): """Checks to see if the number provided passes the Luhn checksum.""" try: return bool(validate(number, alphabet)) except ValidationError: return False def calc_check_digit(number, alphabet='0123456789'): """With the provided number, calculate the extra digit that should be appended to make it pass the Luhn checksum.""" ck = checksum(str(number) + alphabet[0], alphabet) return alphabet[-ck]