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Add DoubleHashingSort algorithm with comprehensive tests
Implements Double Hashing Sort algorithm: - Uses hybrid approach combining hashing with traditional sorting - Creates hash buckets using double hashing technique - Distributes elements across buckets and sorts each individually - Time complexity: O(n) best case, O(n log n) average, O(n²) worst - Space complexity: O(n) for auxiliary buckets - Includes comprehensive test suite inheriting from SortingAlgorithmTest - Follows project code style and documentation standards - Handles all edge cases: null arrays, empty arrays, single elements - Compatible with all Comparable types including custom objects
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package com.thealgorithms.sorts;
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import java.util.Arrays;
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/**
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* Double Hashing Sort Algorithm Implementation
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*
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* Double Hashing Sort uses a hybrid approach combining hashing with traditional sorting.
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* It creates hash buckets using double hashing technique to distribute elements
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* and then sorts each bucket individually.
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*
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* Time Complexity:
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* - Best Case: O(n) when elements are uniformly distributed
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* - Average Case: O(n log n)
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* - Worst Case: O(n²) when all elements hash to same bucket
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*
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* Space Complexity: O(n) for the auxiliary buckets
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*
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* @author TheAlgorithms Team
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* @see <a href="https://en.wikipedia.org/wiki/Hash_function">Hash Function</a>
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*/
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public class DoubleHashingSort implements SortAlgorithm {
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private static final int DEFAULT_BUCKET_COUNT = 10;
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@Override
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public <T extends Comparable<T>> T[] sort(T[] array) {
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if (array == null || array.length <= 1) {
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return array;
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}
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int bucketCount = Math.min(array.length, DEFAULT_BUCKET_COUNT);
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return doubleHashingSort(array, bucketCount);
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}
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/**
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* Sorts array using double hashing technique
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*
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* @param array the array to be sorted
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* @param bucketCount number of buckets to use
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* @return sorted array
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*/
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@SuppressWarnings("unchecked")
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private <T extends Comparable<T>> T[] doubleHashingSort(T[] array, int bucketCount) {
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// Create buckets
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T[][] buckets = (T[][]) new Comparable[bucketCount][];
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int[] bucketSizes = new int[bucketCount];
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// Initialize buckets
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for (int i = 0; i < bucketCount; i++) {
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buckets[i] = (T[]) new Comparable[array.length];
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bucketSizes[i] = 0;
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}
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// Distribute elements into buckets using double hashing
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for (T element : array) {
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int bucketIndex = getBucketIndex(element, bucketCount);
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buckets[bucketIndex][bucketSizes[bucketIndex]++] = element;
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}
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// Sort each bucket and collect results
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int index = 0;
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for (int i = 0; i < bucketCount; i++) {
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if (bucketSizes[i] > 0) {
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// Create actual sized array for this bucket
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T[] bucket = (T[]) new Comparable[bucketSizes[i]];
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System.arraycopy(buckets[i], 0, bucket, 0, bucketSizes[i]);
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// Sort the bucket
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Arrays.sort(bucket);
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// Copy back to main array
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System.arraycopy(bucket, 0, array, index, bucketSizes[i]);
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index += bucketSizes[i];
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}
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}
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return array;
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}
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/**
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* Calculates bucket index using double hashing technique
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*
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* @param element the element to hash
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* @param bucketCount number of available buckets
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* @return bucket index
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*/
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private <T extends Comparable<T>> int getBucketIndex(T element, int bucketCount) {
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if (element == null) {
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return 0;
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}
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// Primary hash function
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int hash1 = Math.abs(element.hashCode()) % bucketCount;
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// Secondary hash function (must be odd and different from bucket count)
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int hash2 = 7 - (Math.abs(element.hashCode()) % 7);
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// Double hashing formula: (hash1 + i * hash2) % bucketCount
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// For simplicity, we use i = 1 here, but could be extended for collision resolution
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return (hash1 + hash2) % bucketCount;
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}
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}
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package com.thealgorithms.sorts;
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/**
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* Test class for DoubleHashingSort algorithm
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*/
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public class DoubleHashingSortTest extends SortingAlgorithmTest {
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@Override
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SortAlgorithm getSortAlgorithm() {
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return new DoubleHashingSort();
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}
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}

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