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| 1 | +# -*- coding: UTF-8 -*- |
| 2 | +"""Luhn Codec - Luhn Mod N checksum algorithm. |
| 3 | +
|
| 4 | +The Luhn algorithm, also known as the "modulus 10" algorithm, is a simple checksum |
| 5 | +formula used to validate identification numbers (e.g. credit card numbers, IMEI |
| 6 | +numbers). Encoding appends a check character; decoding verifies the check character |
| 7 | +and strips it. |
| 8 | +
|
| 9 | +The Luhn Mod N generalization extends the algorithm to alphabets of arbitrary size N. |
| 10 | +When called as 'luhn' or 'luhn-10', the standard decimal alphabet (0-9, N=10) is |
| 11 | +used. When called as 'luhn-<N>' for 2 ≤ N ≤ 36, the first N characters of |
| 12 | +'0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ' form the alphabet. |
| 13 | +
|
| 14 | +This codec: |
| 15 | +- en/decodes strings from str to str |
| 16 | +- en/decodes strings from bytes to bytes |
| 17 | +- decodes file content to str (read) |
| 18 | +- encodes file content from str to bytes (write) |
| 19 | +
|
| 20 | +Reference: https://en.wikipedia.org/wiki/Luhn_algorithm |
| 21 | + https://bitcoinwiki.org/wiki/luhn-mod-n-algorithm |
| 22 | +""" |
| 23 | +from ..__common__ import * |
| 24 | + |
| 25 | + |
| 26 | +__examples__ = { |
| 27 | + 'enc(luhn|luhn-10|luhn10)': { |
| 28 | + '7992739871': '79927398713', |
| 29 | + '': '', |
| 30 | + '0': '00', |
| 31 | + '1': '18', |
| 32 | + }, |
| 33 | + 'dec(luhn|luhn-10|luhn10)': { |
| 34 | + '79927398713': '7992739871', |
| 35 | + '': '', |
| 36 | + '00': '0', |
| 37 | + '18': '1', |
| 38 | + }, |
| 39 | + 'enc-dec(luhn)': ['123456789', '0' * 10, '9999999999999999'], |
| 40 | + 'enc-dec(luhn-16)': ['0123456789ABCDEF', 'DEADBEEF'], |
| 41 | + 'enc-dec(luhn-36)': ['HELLO', 'WORLD123'], |
| 42 | +} |
| 43 | + |
| 44 | +_FULL_ALPHABET = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ" |
| 45 | + |
| 46 | + |
| 47 | +def _luhn_encode(n=""): |
| 48 | + mod = n if isinstance(n, int) else 10 |
| 49 | + alphabet = _FULL_ALPHABET[:mod] |
| 50 | + |
| 51 | + def _encode(text, errors="strict"): |
| 52 | + text = ensure_str(text).upper() if mod > 10 else ensure_str(text) |
| 53 | + if not text: |
| 54 | + return "", 0 |
| 55 | + for pos, c in enumerate(text): |
| 56 | + if c not in alphabet: |
| 57 | + handle_error("luhn", errors, kind="character")(c, pos, text) |
| 58 | + total = 0 |
| 59 | + for i, c in enumerate(reversed(text)): |
| 60 | + code = alphabet.index(c) |
| 61 | + if i % 2 == 0: |
| 62 | + d = code * 2 |
| 63 | + code = d % mod + d // mod |
| 64 | + total += code |
| 65 | + check = (mod - total % mod) % mod |
| 66 | + return text + alphabet[check], len(b(text)) |
| 67 | + |
| 68 | + return _encode |
| 69 | + |
| 70 | + |
| 71 | +def _luhn_decode(n=""): |
| 72 | + mod = n if isinstance(n, int) else 10 |
| 73 | + alphabet = _FULL_ALPHABET[:mod] |
| 74 | + |
| 75 | + def _decode(text, errors="strict"): |
| 76 | + text = ensure_str(text).upper() if mod > 10 else ensure_str(text) |
| 77 | + if not text: |
| 78 | + return "", 0 |
| 79 | + for pos, c in enumerate(text): |
| 80 | + if c not in alphabet: |
| 81 | + handle_error("luhn", errors, decode=True, kind="character")(c, pos, text) |
| 82 | + total = 0 |
| 83 | + for i, c in enumerate(reversed(text)): |
| 84 | + code = alphabet.index(c) |
| 85 | + if i % 2 == 1: |
| 86 | + d = code * 2 |
| 87 | + code = d % mod + d // mod |
| 88 | + total += code |
| 89 | + if total % mod != 0: |
| 90 | + handle_error("luhn", errors, decode=True)(text[-1], len(text) - 1, text[:-1]) |
| 91 | + return text[:-1], len(b(text)) |
| 92 | + |
| 93 | + return _decode |
| 94 | + |
| 95 | + |
| 96 | +add("luhn", _luhn_encode, _luhn_decode, pattern=r"^luhn[-_]?(\d{1,2})?$", guess=None) |
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