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Improving BitonicSort #5244

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149 changes: 91 additions & 58 deletions src/main/java/com/thealgorithms/sorts/BitonicSort.java
Original file line number Diff line number Diff line change
@@ -1,79 +1,112 @@
package com.thealgorithms.sorts;

/* Java program for Bitonic Sort. Note that this program
works only when size of input is a power of 2. */
public class BitonicSort {

/* The parameter dir indicates the sorting direction,
ASCENDING or DESCENDING; if (a[i] > a[j]) agrees
with the direction, then a[i] and a[j] are
interchanged. */
void compAndSwap(int[] a, int i, int j, int dir) {
if ((a[i] > a[j] && dir == 1) || (a[i] < a[j] && dir == 0)) {
// Swapping elements
int temp = a[i];
a[i] = a[j];
a[j] = temp;
}
import java.util.Arrays;
import java.util.function.BiPredicate;

/**
* BitonicSort class implements the SortAlgorithm interface using the bitonic sort technique.
*/
public class BitonicSort implements SortAlgorithm {
private enum Direction {
DESCENDING,
ASCENDING,
}

/* It recursively sorts a bitonic sequence in ascending
order, if dir = 1, and in descending order otherwise
(means dir=0). The sequence to be sorted starts at
index position low, the parameter cnt is the number
of elements to be sorted.*/
void bitonicMerge(int[] a, int low, int cnt, int dir) {
if (cnt > 1) {
int k = cnt / 2;
for (int i = low; i < low + k; i++) {
compAndSwap(a, i, i + k, dir);
}
bitonicMerge(a, low, k, dir);
bitonicMerge(a, low + k, k, dir);
/**
* Sorts the given array using the Bitonic Sort algorithm.
*
* @param <T> the type of elements in the array, which must implement the Comparable interface
* @param array the array to be sorted
* @return the sorted array
*/
@Override
public <T extends Comparable<T>> T[] sort(T[] array) {
if (array.length == 0) {
return array;
}

final int paddedSize = nextPowerOfTwo(array.length);
T[] paddedArray = Arrays.copyOf(array, paddedSize);

// Fill the padded part with a maximum value
final T maxValue = max(array);
Arrays.fill(paddedArray, array.length, paddedSize, maxValue);

bitonicSort(paddedArray, 0, paddedSize, Direction.ASCENDING);
return Arrays.copyOf(paddedArray, array.length);
}

/* This funcion first produces a bitonic sequence by
recursively sorting its two halves in opposite sorting
orders, and then calls bitonicMerge to make them in
the same order */
void bitonicSort(int[] a, int low, int cnt, int dir) {
private <T extends Comparable<T>> void bitonicSort(final T[] array, final int low, final int cnt, final Direction direction) {
if (cnt > 1) {
int k = cnt / 2;
final int k = cnt / 2;

// sort in ascending order since dir here is 1
bitonicSort(a, low, k, 1);
// Sort first half in ascending order
bitonicSort(array, low, k, Direction.ASCENDING);

// sort in descending order since dir here is 0
bitonicSort(a, low + k, k, 0);
// Sort second half in descending order
bitonicSort(array, low + k, cnt - k, Direction.DESCENDING);

// Will merge whole sequence in ascending order
// since dir=1.
bitonicMerge(a, low, cnt, dir);
// Merge the whole sequence in ascending order
bitonicMerge(array, low, cnt, direction);
}
}

/*Caller of bitonicSort for sorting the entire array
of length N in ASCENDING order */
void sort(int[] a, int n, int up) {
bitonicSort(a, 0, n, up);
/**
* Merges the bitonic sequence in the specified direction.
*
* @param <T> the type of elements in the array, which must be Comparable
* @param array the array containing the bitonic sequence to be merged
* @param low the starting index of the sequence to be merged
* @param cnt the number of elements in the sequence to be merged
* @param direction the direction of sorting
*/
private <T extends Comparable<T>> void bitonicMerge(T[] array, int low, int cnt, Direction direction) {
if (cnt > 1) {
final int k = cnt / 2;

final BiPredicate<T, T> areSorted = (direction == Direction.ASCENDING) ? (a, b) -> a.compareTo(b) < 0 : (a, b) -> a.compareTo(b) > 0;
for (int i = low; i < low + k; i++) {
if (!areSorted.test(array[i], array[i + k])) {
SortUtils.swap(array, i, i + k);
}
}

bitonicMerge(array, low, k, direction);
bitonicMerge(array, low + k, cnt - k, direction);
}
}

/* A utility function to print array of size n */
static void printArray(int[] arr) {
int n = arr.length;
for (int i = 0; i < n; ++i) {
System.out.print(arr[i] + " ");
/**
* Finds the next power of two greater than or equal to the given number.
*
* @param n the number
* @return the next power of two
*/
private static int nextPowerOfTwo(int n) {
int count = 0;

// First n in the below condition is for the case where n is 0
if ((n & (n - 1)) == 0) {
return n;
}

while (n != 0) {
n >>= 1;
count += 1;
}
System.out.println();

return 1 << count;
}

public static void main(String[] args) {
int[] a = {3, 7, 4, 8, 6, 2, 1, 5};
int up = 1;
BitonicSort ob = new BitonicSort();
ob.sort(a, a.length, up);
System.out.println("\nSorted array");
printArray(a);
/**
* Finds the maximum element in the given array.
*
* @param <T> the type of elements in the array, which must implement the Comparable interface
* @param array the array to be searched
* @return the maximum element in the array
* @throws IllegalArgumentException if the array is null or empty
*/
private static <T extends Comparable<T>> T max(final T[] array) {
return Arrays.stream(array).max(Comparable::compareTo).orElseThrow();
}
}
8 changes: 8 additions & 0 deletions src/test/java/com/thealgorithms/sorts/BitonicSortTest.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,8 @@
package com.thealgorithms.sorts;

public class BitonicSortTest extends SortingAlgorithmTest {
@Override
SortAlgorithm getSortAlgorithm() {
return new BitonicSort();
}
}