package Searches; import static java.lang.String.format; import java.util.Arrays; import java.util.Random; import java.util.concurrent.ThreadLocalRandom; import java.util.stream.IntStream; /** * Binary search is one of the most popular algorithms The algorithm finds the position of a target * value within a sorted array * *

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 is any comparable type * @return index of the element */ @Override public > int find(T[] array, T key) { return search(array, key, 0, array.length); } /** * 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 > 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); } } // Driver Program public static void main(String[] args) { // Just generate data Random r = ThreadLocalRandom.current(); int size = 100; int maxElement = 100000; Integer[] integers = IntStream.generate(() -> r.nextInt(maxElement)) .limit(size) .sorted() .boxed() .toArray(Integer[]::new); // The element that should be found int shouldBeFound = integers[r.nextInt(size - 1)]; BinarySearch search = new BinarySearch(); int atIndex = search.find(integers, shouldBeFound); System.out.println( format( "Should be found: %d. Found %d at index %d. An array length %d", shouldBeFound, integers[atIndex], atIndex, size)); int toCheck = Arrays.binarySearch(integers, shouldBeFound); System.out.println( format( "Found by system method at an index: %d. Is equal: %b", toCheck, toCheck == atIndex)); } }