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Improving BitonicSort #5244

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154 changes: 96 additions & 58 deletions src/main/java/com/thealgorithms/sorts/BitonicSort.java
Original file line number Diff line number Diff line change
@@ -1,79 +1,117 @@
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;

/**
* 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 unsorted the array to be sorted
* @return the sorted array
*/
@Override
public <T extends Comparable<T>> T[] sort(T[] unsorted) {
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if (unsorted == null || unsorted.length == 0) {
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return unsorted;
}

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

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

bitonicSort(paddedArray, 0, paddedSize, Direction.ASCENDING);
return Arrays.copyOf(paddedArray, unsorted.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(T[] arr, int low, int cnt, Direction dir) {
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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(arr, 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(arr, 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(arr, low, cnt, dir);
}
}

/*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 arr 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 dir the direction of sorting: true for ascending, false for descending
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*/
private <T extends Comparable<T>> void bitonicMerge(T[] arr, int low, int cnt, Direction dir) {
if (cnt > 1) {
final int k = cnt / 2;

for (int i = low; i < low + k; i++) {
boolean condition = (dir == Direction.ASCENDING) ? arr[i].compareTo(arr[i + k]) > 0 : arr[i].compareTo(arr[i + k]) < 0;
if (condition) {
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SortUtils.swap(arr, i, i + k);
}
}

bitonicMerge(arr, low, k, dir);
bitonicMerge(arr, low + k, cnt - k, dir);
}
}

/* 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;
}
System.out.println();

while (n != 0) {
n >>= 1;
count += 1;
}

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(T[] array) {
T max = array[0];
for (T element : array) {
if (SortUtils.greater(element, max)) {
max = element;
}
}
return max;
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}
}
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();
}
}
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