|
| 1 | +""" |
| 2 | +FNV-1a (Fowler-Noll-Vo) is a non-cryptographic hash function created by |
| 3 | +Glenn Fowler, Landon Curt Noll, and Kiem-Phong Vo. |
| 4 | +
|
| 5 | +The FNV-1a variant provides better avalanche characteristics (bit changes |
| 6 | +distribute more uniformly) compared to the original FNV-1. |
| 7 | +
|
| 8 | +Key properties: |
| 9 | +- Fast computation |
| 10 | +- Good distribution |
| 11 | +- Non-cryptographic (not suitable for security purposes) |
| 12 | +- Widely used in hash tables and checksums |
| 13 | +
|
| 14 | +Algorithm: |
| 15 | + hash = FNV_offset_basis |
| 16 | + for each byte in data: |
| 17 | + hash = hash XOR byte |
| 18 | + hash = hash * FNV_prime |
| 19 | +
|
| 20 | +FNV-1a 32-bit: |
| 21 | + FNV_offset_basis = 2166136261 (0x811c9dc5) |
| 22 | + FNV_prime = 16777619 (0x01000193) |
| 23 | +
|
| 24 | +FNV-1a 64-bit: |
| 25 | + FNV_offset_basis = 14695981039346656037 (0xcbf29ce484222325) |
| 26 | + FNV_prime = 1099511628211 (0x100000001b3) |
| 27 | +
|
| 28 | +Source: http://www.isthe.com/chongo/tech/comp/fnv/ |
| 29 | +""" |
| 30 | + |
| 31 | + |
| 32 | +def fnv1a_32(data: str) -> int: |
| 33 | + """ |
| 34 | + Implementation of 32-bit FNV-1a hash algorithm. |
| 35 | +
|
| 36 | + Args: |
| 37 | + data: Input string to hash |
| 38 | +
|
| 39 | + Returns: |
| 40 | + 32-bit hash value as integer |
| 41 | +
|
| 42 | + Examples: |
| 43 | + >>> fnv1a_32('Hello') |
| 44 | + 4116459851 |
| 45 | + >>> fnv1a_32('World') |
| 46 | + 3714116915 |
| 47 | + >>> fnv1a_32('Algorithms') |
| 48 | + 3235099003 |
| 49 | + >>> fnv1a_32('') |
| 50 | + 2166136261 |
| 51 | + >>> fnv1a_32('The quick brown fox jumps over the lazy dog') |
| 52 | + 76545936 |
| 53 | + >>> fnv1a_32('a') |
| 54 | + 3826002220 |
| 55 | + >>> fnv1a_32('ab') |
| 56 | + 1294271946 |
| 57 | + >>> fnv1a_32('abc') |
| 58 | + 440920331 |
| 59 | +
|
| 60 | + Test with same input produces same output: |
| 61 | + >>> fnv1a_32('test') == fnv1a_32('test') |
| 62 | + True |
| 63 | +
|
| 64 | + Test different inputs produce different outputs: |
| 65 | + >>> fnv1a_32('test') != fnv1a_32('Test') |
| 66 | + True |
| 67 | + """ |
| 68 | + # FNV-1a 32-bit parameters |
| 69 | + fnv_offset_basis = 0x811C9DC5 # 2166136261 |
| 70 | + fnv_prime = 0x01000193 # 16777619 |
| 71 | + |
| 72 | + hash_value = fnv_offset_basis |
| 73 | + |
| 74 | + for byte in data.encode("utf-8"): |
| 75 | + hash_value ^= byte # XOR with byte |
| 76 | + hash_value *= fnv_prime # Multiply by FNV prime |
| 77 | + hash_value &= 0xFFFFFFFF # Keep it 32-bit |
| 78 | + |
| 79 | + return hash_value |
| 80 | + |
| 81 | + |
| 82 | +def fnv1a_64(data: str) -> int: |
| 83 | + """ |
| 84 | + Implementation of 64-bit FNV-1a hash algorithm. |
| 85 | +
|
| 86 | + Args: |
| 87 | + data: Input string to hash |
| 88 | +
|
| 89 | + Returns: |
| 90 | + 64-bit hash value as integer |
| 91 | +
|
| 92 | + Examples: |
| 93 | + >>> fnv1a_64('Hello') |
| 94 | + 7201466553693376363 |
| 95 | + >>> fnv1a_64('World') |
| 96 | + 1088154518318865747 |
| 97 | + >>> fnv1a_64('Algorithms') |
| 98 | + 2924617064648692923 |
| 99 | + >>> fnv1a_64('') |
| 100 | + 14695981039346656037 |
| 101 | + >>> fnv1a_64('The quick brown fox jumps over the lazy dog') |
| 102 | + 17580284887202820368 |
| 103 | + >>> fnv1a_64('a') |
| 104 | + 12638187200555641996 |
| 105 | + >>> fnv1a_64('ab') |
| 106 | + 620445648566982762 |
| 107 | + >>> fnv1a_64('abc') |
| 108 | + 16654208175385433931 |
| 109 | +
|
| 110 | + Test with same input produces same output: |
| 111 | + >>> fnv1a_64('test') == fnv1a_64('test') |
| 112 | + True |
| 113 | +
|
| 114 | + Test different inputs produce different outputs: |
| 115 | + >>> fnv1a_64('test') != fnv1a_64('Test') |
| 116 | + True |
| 117 | + """ |
| 118 | + # FNV-1a 64-bit parameters |
| 119 | + fnv_offset_basis = 0xCBF29CE484222325 # 14695981039346656037 |
| 120 | + fnv_prime = 0x100000001B3 # 1099511628211 |
| 121 | + |
| 122 | + hash_value = fnv_offset_basis |
| 123 | + |
| 124 | + for byte in data.encode("utf-8"): |
| 125 | + hash_value ^= byte # XOR with byte |
| 126 | + hash_value *= fnv_prime # Multiply by FNV prime |
| 127 | + hash_value &= 0xFFFFFFFFFFFFFFFF # Keep it 64-bit |
| 128 | + |
| 129 | + return hash_value |
| 130 | + |
| 131 | + |
| 132 | +if __name__ == "__main__": |
| 133 | + import doctest |
| 134 | + |
| 135 | + doctest.testmod() |
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