Bitonic Sort AlgorithmIn this article, we will discuss the Bitonic sort Algorithm. Bitonic sort is a parallel sorting algorithm that performs O(n^{2}log n) comparisons. Although the number of comparisons is more than that in any other popular sorting algorithm, it performs better for the parallel implementation because elements are compared in a predefined sequence that must not depend upon the data being sorted. The predefined sequence is called the Bitonic sequence. To understand the bitonic sort, we first have to understand the Bitonic sequence. In Bitonic sequence, elements are first arranged in increasing order, and then after some particular index, they start decreasing. An array with A[0…i…n1] is said to be bitonic, if there is an index i, such that  Where, 0 ≤ i ≤ n1. Before moving directly towards the algorithm of bitonic sort, first, understand the conversion of any random sequence into a bitonic sequence. How to convert the random sequence into a bitonic sequence?Consider a sequence A[ 0 ... n1] of n elements. First, start constructing a Bitonic sequence by using 4 elements of the sequence. Sort the first 2 elements in ascending order and the last 2 elements in descending order, concatenate this pair to form a Bitonic sequence of 4 elements. Repeat this process for the remaining pairs of the element until we find a Bitonic sequence. Let's understand the process to convert the random sequence into a bitonic sequence using an example. Suppose the elements of array are  {30, 70, 40, 80, 60, 20, 10, 50} After conversion, the bitonic sequence that we will get is  30, 40, 70, 80, 60, 50, 20, 10 Now, move towards the steps of performing the bitonic sort. Steps to perform Bitonic sortThe steps used to perform the bitonic sort are listed as follows 
Now, let's see the entire procedure of bitonic sort with an example. It will be easier to understand the bitonic sort with an example as it makes the explanation clearer and easier. In the below example, we are using the bitonic sequence given above that we created from a random sequence. Now, the given array is completely sorted. Bitonic sort complexityNow, let's see the time complexity of bitonic sort in the best case, average case, and worst case. We will also see the space complexity of bitonic sort. 1. Time Complexity
The time complexity of bitonic sort is O(log^{2} n) in all three cases. 2. Space Complexity
Implementation of Bitonic sortNow, let's see the programs of Bitonic sort in different programming languages. Program: Write a program to implement bitonic sort in C language. Output After the execution of the above code, the output will be  Program: Write a program to implement bitonic sort in C++. Output After the execution of the above code, the output will be  Program: Write a program to implement bitonic sort in C#. Output After the execution of the above code, the output will be  Program: Write a program to implement bitonic sort in Java. Output After the execution of the above code, the output will be  So, that's all about the article. Hope the article will be helpful and informative to you.
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