#!/usr/bin/env python3 """ Double hashing is a collision resolving technique in Open Addressed Hash tables. Double hashing uses the idea of applying a second hash function to key when a collision occurs. The advantage of Double hashing is that it is one of the best form of probing, producing a uniform distribution of records throughout a hash table. This technique does not yield any clusters. It is one of effective method for resolving collisions. Double hashing can be done using: (hash1(key) + i * hash2(key)) % TABLE_SIZE Where hash1() and hash2() are hash functions and TABLE_SIZE is size of hash table. Reference: https://en.wikipedia.org/wiki/Double_hashing """ from .hash_table import HashTable from .number_theory.prime_numbers import is_prime, next_prime class DoubleHash(HashTable): """ Hash Table example with open addressing and Double Hash """ def __init__(self, *args, **kwargs): super().__init__(*args, **kwargs) def __hash_function_2(self, value, data): next_prime_gt = ( next_prime(value % self.size_table) if not is_prime(value % self.size_table) else value % self.size_table ) # gt = bigger than return next_prime_gt - (data % next_prime_gt) def __hash_double_function(self, key, data, increment): return (increment * self.__hash_function_2(key, data)) % self.size_table def _collision_resolution(self, key, data=None): i = 1 new_key = self.hash_function(data) while self.values[new_key] is not None and self.values[new_key] != key: new_key = ( self.__hash_double_function(key, data, i) if self.balanced_factor() >= self.lim_charge else None ) if new_key is None: break else: i += 1 return new_key