15,11,3 and 13,9,3 working
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Cort Buffington
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hamming.py
Executable file
115
hamming.py
Executable file
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#!/usr/bin/env python
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#
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# This work is licensed under the Creative Attribution-NonCommercial-ShareAlike
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# 3.0 Unported License.To view a copy of this license, visit
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# http://creativecommons.org/licenses/by-nc-sa/3.0/ or send a letter to
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# Creative Commons, 444 Castro Street, Suite 900, Mountain View,
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# California, 94041, USA.
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from __future__ import print_function
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from bitstring import BitArray
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# Does anybody read this stuff? There's a PEP somewhere that says I should do this.
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__author__ = 'Cortney T. Buffington, N0MJS'
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__copyright__ = 'Copyright (c) 2016 Cortney T. Buffington, N0MJS and the K0USY Group'
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__credits__ = 'Jonathan Naylor, G4KLX'
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__license__ = 'Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported'
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__maintainer__ = 'Cort Buffington, N0MJS'
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__email__ = 'n0mjs@me.com'
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def enc_hamming_15113(_data):
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csum = BitArray(4)
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csum[0] = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8]
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csum[1] = _data[1] ^ _data[2] ^ _data[3] ^ _data[4] ^ _data[6] ^ _data[8] ^ _data[9]
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csum[2] = _data[2] ^ _data[3] ^ _data[4] ^ _data[5] ^ _data[7] ^ _data[9] ^ _data[10]
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csum[3] = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] ^ _data[10]
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return csum
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def dec_hamming_15113(_data):
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chk0 = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8]
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chk1 = _data[1] ^ _data[2] ^ _data[3] ^ _data[4] ^ _data[6] ^ _data[8] ^ _data[9]
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chk2 = _data[2] ^ _data[3] ^ _data[4] ^ _data[5] ^ _data[7] ^ _data[9] ^ _data[10]
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chk3 = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7] ^ _data[10]
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n = 0
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error = False
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n |= 0x01 if chk0 != _data[11] else 0x00
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n |= 0x02 if chk1 != _data[12] else 0x00
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n |= 0x04 if chk2 != _data[13] else 0x00
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n |= 0x08 if chk3 != _data[14] else 0x00
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if n == 0x01: _data[11] = not _data[11]; return (_data, True)
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if n == 0x02: _data[12] = not _data[12]; return (_data, True)
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if n == 0x04: _data[13] = not _data[13]; return (_data, True)
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if n == 0x08: _data[14] = not _data[14]; return (_data, True)
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if n == 0x0f: _data[0] = not _data[0]; return (_data, True)
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if n == 0x07: _data[1] = not _data[1]; return (_data, True)
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if n == 0x0b: _data[2] = not _data[2]; return (_data, True)
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if n == 0x03: _data[3] = not _data[3]; return (_data, True)
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if n == 0x0d: _data[4] = not _data[4]; return (_data, True)
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if n == 0x05: _data[5] = not _data[5]; return (_data, True)
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if n == 0x09: _data[6] = not _data[6]; return (_data, True)
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if n == 0x0e: _data[7] = not _data[7]; return (_data, True)
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if n == 0x06: _data[8] = not _data[8]; return (_data, True)
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if n == 0x0a: _data[9] = not _data[9]; return (_data, True)
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if n == 0x0c: _data[10] = not _data[10]; return (_data, True)
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return (_data, False)
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def enc_hamming_1393(_data):
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csum = BitArray(4)
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csum[0] = _data[0] ^ _data[1] ^ _data[3] ^ _data[5] ^ _data[6]
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csum[1] = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7]
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csum[2] = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8]
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csum[3] = _data[0] ^ _data[2] ^ _data[4] ^ _data[5] ^ _data[8]
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return csum
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def dec_hamming_1393(_data):
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chk0 = _data[0] ^ _data[1] ^ _data[3] ^ _data[5] ^ _data[6]
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chk1 = _data[0] ^ _data[1] ^ _data[2] ^ _data[4] ^ _data[6] ^ _data[7]
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chk2 = _data[0] ^ _data[1] ^ _data[2] ^ _data[3] ^ _data[5] ^ _data[7] ^ _data[8]
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chk3 = _data[0] ^ _data[2] ^ _data[4] ^ _data[5] ^ _data[8]
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n = 0
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error = False
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n |= 0x01 if chk0 != _data[9] else 0x00
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n |= 0x02 if chk1 != _data[10] else 0x00
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n |= 0x04 if chk2 != _data[11] else 0x00
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n |= 0x08 if chk3 != _data[12] else 0x00
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if n == 0x01: _data[9] = not _data[9]; return (_data, True)
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if n == 0x02: _data[10] = not _data[10]; return (_data, True)
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if n == 0x04: _data[11] = not _data[11]; return (_data, True)
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if n == 0x08: _data[12] = not _data[12]; return (_data, True)
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if n == 0x0f: _data[0] = not _data[0]; return (_data, True)
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if n == 0x07: _data[1] = not _data[1]; return (_data, True)
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if n == 0x0b: _data[2] = not _data[2]; return (_data, True)
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if n == 0x03: _data[3] = not _data[3]; return (_data, True)
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if n == 0x0d: _data[4] = not _data[4]; return (_data, True)
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if n == 0x05: _data[5] = not _data[5]; return (_data, True)
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if n == 0x09: _data[6] = not _data[6]; return (_data, True)
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if n == 0x0e: _data[7] = not _data[7]; return (_data, True)
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if n == 0x06: _data[8] = not _data[8]; return (_data, True)
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return (_data, False)
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if __name__ == '__main__':
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# Validation Example
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data = BitArray('0x1cd1bb1910f3051031011061cc1aa3800e204002100100147')
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print(data[0:11].bin, data[11:15].bin)
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print(dec_hamming_15113(data[0:15])[0][0:11].bin, dec_hamming_15113(data[0:15])[0][11:15].bin)
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print(enc_hamming_15113(data[0:11]).bin)
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print()
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print(data[0:9].bin, data[9:13].bin)
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print(dec_hamming_1393(data[0:13])[0][0:9].bin, dec_hamming_1393(data[0:13])[0][9:13].bin)
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print(enc_hamming_1393(data[0:9]).bin)
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