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# verhoeff.py - functions for performing the Verhoeff checksum
#
# Copyright (C) 2010 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
"""Module for calculation and verifying the checksum of a number
using the Verhoeff algorithm.
Validation can be done with is_valid() which validates that the
calculated checksum is 0. A valid number can be made by calculating
the check digit and appending it.
>>> is_valid('1234')
False
>>> checksum('1234')
1
>>> calc_check_digit('1234')
'0'
>>> is_valid('12340')
True
"""
# These are the multiplication and permutation tables used in the
# Verhoeff algorithm.
_multiplication_table = (
( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ),
( 1, 2, 3, 4, 0, 6, 7, 8, 9, 5 ),
( 2, 3, 4, 0, 1, 7, 8, 9, 5, 6 ),
( 3, 4, 0, 1, 2, 8, 9, 5, 6, 7 ),
( 4, 0, 1, 2, 3, 9, 5, 6, 7, 8 ),
( 5, 9, 8, 7, 6, 0, 4, 3, 2, 1 ),
( 6, 5, 9, 8, 7, 1, 0, 4, 3, 2 ),
( 7, 6, 5, 9, 8, 2, 1, 0, 4, 3 ),
( 8, 7, 6, 5, 9, 3, 2, 1, 0, 4 ),
( 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ) )
_permutation_table = (
( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ),
( 1, 5, 7, 6, 2, 8, 3, 0, 9, 4 ),
( 5, 8, 0, 3, 7, 9, 6, 1, 4, 2 ),
( 8, 9, 1, 6, 0, 4, 3, 5, 2, 7 ),
( 9, 4, 5, 3, 1, 2, 6, 8, 7, 0 ),
( 4, 2, 8, 6, 5, 7, 3, 9, 0, 1 ),
( 2, 7, 9, 3, 8, 0, 6, 4, 1, 5 ),
( 7, 0, 4, 6, 9, 1, 3, 2, 5, 8 ) )
def checksum(number):
"""Calculate the Verhoeff checksum over the provided number. The checksum
is returned as an int. Valid numbers should have a checksum of 0."""
# transform number list
number = tuple( int(n) for n in reversed(str(number)) )
# calculate checksum
check = 0
for i, n in enumerate(number):
check = _multiplication_table[check][_permutation_table[i % 8][n]]
return check
def is_valid(number):
"""Checks to see if the number provided passes the Verhoeff checksum."""
try:
return bool(number) and checksum(number) == 0
except:
return False
def calc_check_digit(number):
"""With the provided number, calculate the extra digit that should be
appended to make it pass the Verhoeff checksum."""
return str(_multiplication_table[checksum(str(number) + '0')].index(0))
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