#!/usr/bin/env python # # This work is licensed under the Creative Attribution-NonCommercial-ShareAlike # 3.0 Unported License.To view a copy of this license, visit # http://creativecommons.org/licenses/by-nc-sa/3.0/ or send a letter to # Creative Commons, 444 Castro Street, Suite 900, Mountain View, # California, 94041, USA. from __future__ import print_function from bitarray import bitarray # Does anybody read this stuff? There's a PEP somewhere that says I should do this. __author__ = 'Cortney T. Buffington, N0MJS' __copyright__ = 'Copyright (c) 2016 Cortney T. Buffington, N0MJS and the K0USY Group' __credits__ = 'Jonathan Naylor, G4KLX' __license__ = 'Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported' __maintainer__ = 'Cort Buffington, N0MJS' __email__ = 'n0mjs@me.com' #------------------------------------------------------------------------------ # Hamming 15,11,3 routines #------------------------------------------------------------------------------ # ENCODER- returns a bitarray object containing the hamming checksums def enc_15113(_data): csum = bitarray(4) csum[0] = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8] csum[1] = _data[1] ^ _data[2] ^ _data[3] ^ _data[4] ^ _data[6] ^ _data[8] ^ _data[9] csum[2] = _data[2] ^ _data[3] ^ _data[4] ^ _data[5] ^ _data[7] ^ _data[9] ^ _data[10] csum[3] = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] ^ _data[10] return csum # DECODER - Returns a tuple of (decoded data, True if an error was corrected) def dec_15113(_data): chk0 = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8] chk1 = _data[1] ^ _data[2] ^ _data[3] ^ _data[4] ^ _data[6] ^ _data[8] ^ _data[9] chk2 = _data[2] ^ _data[3] ^ _data[4] ^ _data[5] ^ _data[7] ^ _data[9] ^ _data[10] chk3 = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] ^ _data[10] n = 0 error = False n |= 0x01 if chk0 != _data[11] else 0x00 n |= 0x02 if chk1 != _data[12] else 0x00 n |= 0x04 if chk2 != _data[13] else 0x00 n |= 0x08 if chk3 != _data[14] else 0x00 if n == 0x01: _data[11] = not _data[11]; return (_data, True) if n == 0x02: _data[12] = not _data[12]; return (_data, True) if n == 0x04: _data[13] = not _data[13]; return (_data, True) if n == 0x08: _data[14] = not _data[14]; return (_data, True) if n == 0x09: _data[0] = not _data[0]; return (_data, True) if n == 0x0b: _data[1] = not _data[1]; return (_data, True) if n == 0x0f: _data[2] = not _data[2]; return (_data, True) if n == 0x07: _data[3] = not _data[3]; return (_data, True) if n == 0x0e: _data[4] = not _data[4]; return (_data, True) if n == 0x05: _data[5] = not _data[5]; return (_data, True) if n == 0x0a: _data[6] = not _data[6]; return (_data, True) if n == 0x0d: _data[7] = not _data[7]; return (_data, True) if n == 0x03: _data[8] = not _data[8]; return (_data, True) if n == 0x06: _data[9] = not _data[9]; return (_data, True) if n == 0x0c: _data[10] = not _data[10]; return (_data, True) return (_data, False) #------------------------------------------------------------------------------ # Hamming 13,9,3 routines #------------------------------------------------------------------------------ # ENCODER - returns a bitarray object containing the hamming checksums def enc_1393(_data): csum = bitarray(4) csum[0] = _data[0] ^ _data[1] ^ _data[3] ^ _data[5] ^ _data[6] csum[1] = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] csum[2] = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8] csum[3] = _data[0] ^ _data[2] ^ _data[4] ^ _data[5] ^ _data[8] return csum # DECODER - Returns a tuple of (decoded data, True if an error was corrected) def dec_1393(_data): chk0 = _data[0] ^ _data[1] ^ _data[3] ^ _data[5] ^ _data[6] chk1 = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] chk2 = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8] chk3 = _data[0] ^ _data[2] ^ _data[4] ^ _data[5] ^ _data[8] n = 0 error = False n |= 0x01 if chk0 != _data[9] else 0x00 n |= 0x02 if chk1 != _data[10] else 0x00 n |= 0x04 if chk2 != _data[11] else 0x00 n |= 0x08 if chk3 != _data[12] else 0x00 if n == 0x01: _data[9] = not _data[9]; return (_data, True) if n == 0x02: _data[10] = not _data[10]; return (_data, True) if n == 0x04: _data[11] = not _data[11]; return (_data, True) if n == 0x08: _data[12] = not _data[12]; return (_data, True) if n == 0x0f: _data[0] = not _data[0]; return (_data, True) if n == 0x07: _data[1] = not _data[1]; return (_data, True) if n == 0x0e: _data[2] = not _data[2]; return (_data, True) if n == 0x05: _data[3] = not _data[3]; return (_data, True) if n == 0x0a: _data[4] = not _data[4]; return (_data, True) if n == 0x0d: _data[5] = not _data[5]; return (_data, True) if n == 0x03: _data[6] = not _data[6]; return (_data, True) if n == 0x06: _data[7] = not _data[7]; return (_data, True) if n == 0x0c: _data[8] = not _data[8]; return (_data, True) return (_data, False) #------------------------------------------------------------------------------ # Hamming 16,11,4 routines #------------------------------------------------------------------------------ # ENCODER - returns a bitarray object containing the hamming checksums def enc_16114(_data): csum = bitarray(5) csum[0] = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8] csum[1] = _data[1] ^ _data[2] ^ _data[3] ^ _data[4] ^ _data[6] ^ _data[8] ^ _data[9] csum[2] = _data[2] ^ _data[3] ^ _data[4] ^ _data[5] ^ _data[7] ^ _data[9] ^ _data[10] csum[3] = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] ^ _data[10] csum[4] = _data[0] ^ _data[2] ^ _data[5] ^ _data[6] ^ _data[8] ^ _data[9] ^ _data[10] return csum # DECODER - Returns a tuple of (decoded data, True if an error was corrected) def dec_16114(_data): chk0 = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8] chk1 = _data[1] ^ _data[2] ^ _data[3] ^ _data[4] ^ _data[6] ^ _data[8] ^ _data[9] chk2 = _data[2] ^ _data[3] ^ _data[4] ^ _data[5] ^ _data[7] ^ _data[9] ^ _data[10] chk3 = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] ^ _data[10] chk4 = _data[0] ^ _data[2] ^ _data[5] ^ _data[6] ^ _data[8] ^ _data[9] ^ _data[10] n = 0 error = False n |= 0x01 if chk0 != _data[11] else 0x00 n |= 0x02 if chk1 != _data[12] else 0x00 n |= 0x04 if chk2 != _data[13] else 0x00 n |= 0x08 if chk3 != _data[14] else 0x00 n |= 0x10 if chk4 != _data[15] else 0x00 if n == 0x01: _data[11] = not _data[11]; return (_data, True) if n == 0x02: _data[12] = not _data[12]; return (_data, True) if n == 0x04: _data[13] = not _data[13]; return (_data, True) if n == 0x08: _data[14] = not _data[14]; return (_data, True) if n == 0x10: _data[15] = not _data[15]; return (_data, True) if n == 0x19: _data[0] = not _data[0]; return (_data, True) if n == 0x0b: _data[1] = not _data[1]; return (_data, True) if n == 0x1f: _data[2] = not _data[2]; return (_data, True) if n == 0x07: _data[3] = not _data[3]; return (_data, True) if n == 0x0e: _data[4] = not _data[4]; return (_data, True) if n == 0x15: _data[5] = not _data[5]; return (_data, True) if n == 0x1a: _data[6] = not _data[6]; return (_data, True) if n == 0x0d: _data[7] = not _data[7]; return (_data, True) if n == 0x13: _data[8] = not _data[8]; return (_data, True) if n == 0x16: _data[9] = not _data[9]; return (_data, True) if n == 0x1c: _data[10] = not _data[10]; return (_data, True) return (_data, False) #------------------------------------------------------------------------------ # Used to execute the module directly to run built-in tests #------------------------------------------------------------------------------ if __name__ == '__main__': # Validation Example good_data_15113 = bitarray('0000000000000000000100000011101000000000000000000000110001110011000000100100111110011010110111100101111001011010110101101100010110100110000110000111100111010011101101000010101001110000100101010100') bad_data_15113 = bitarray('0000000000000000000110000011101000000000000000000000110001110011000000100100111110011010110111100101111001011010110101101100010110100110000110000111100111010011101101000010101001110000100101010100') def check_15113(_data): rows = (_data[1:16],_data[16:31],_data[31:46],_data[46:61],_data[61:76],_data[76:91],_data[91:106],_data[106:121],_data[121:136]) print('Processing New Integrity Check') for row in rows: print('original data:', row[0:11], 'original parity:', row[11:15]) hamming_dec = dec_15113(row[0:15]) code = hamming_dec[0] error = hamming_dec[1] print('\tDECODE: data: ', code[0:11], 'parity: ', code[11:15], 'error:', error) print('\tENCODE: calculated parity:', enc_15113(row[0:11])) print() check_15113(good_data_15113) check_15113(bad_data_15113)