Java/src/main/java/com/thealgorithms/searches/BinarySearch.java

package com.thealgorithms.searches;

import com.thealgorithms.devutils.searches.SearchAlgorithm;

/**
 * Binary search is one of the most popular algorithms The algorithm finds the
 * position of a target value within a sorted array
 *
 * <p>
 * Worst-case performance O(log n) Best-case performance O(1) Average
 * performance O(log n) Worst-case space complexity O(1)
 *
 * @author Varun Upadhyay (https://github.com/varunu28)
 * @author Podshivalov Nikita (https://github.com/nikitap492)
 * @see SearchAlgorithm
 * @see IterativeBinarySearch
 */
class BinarySearch implements SearchAlgorithm {

    /**
     * @param array is an array where the element should be found
     * @param key is an element which should be found
     * @param <T> is any comparable type
     * @return index of the element
     */
    @Override
    public <T extends Comparable<T>> int find(T[] array, T key) {
        return search(array, key, 0, array.length - 1);
    }

    /**
     * This method implements the Generic Binary Search
     *
     * @param array The array to make the binary search
     * @param key The number you are looking for
     * @param left The lower bound
     * @param right The upper bound
     * @return the location of the key
     */
    private <T extends Comparable<T>> int search(T[] array, T key, int left, int right) {
        if (right < left) {
            return -1; // this means that the key not found
        }
        // find median
        int median = (left + right) >>> 1;
        int comp = key.compareTo(array[median]);

        if (comp == 0) {
            return median;
        } else if (comp < 0) {
            return search(array, key, left, median - 1);
        } else {
            return search(array, key, median + 1, right);
        }
    }
}