Bubble Sort

  

Bubble sort is a simple sorting algorithm that works by repeatedly swapping adjacent elements if they are in the wrong order. It is named after the way bubbles rise to the top of a liquid, as it sorts the array by repeatedly moving the largest or smallest elements to the top of the array.

The algorithm works by iterating through the array, comparing each adjacent pair of elements and swapping them if they are in the wrong order. This process is repeated until the array is fully sorted.

Let's say we have an array of integers [5, 3, 8, 4, 2]. The first pass of the algorithm would compare 5 and 3, swap them to get [3, 5, 8, 4, 2]. It would then compare 5 and 8 and not swap them, as they are in the correct order. It would then compare 8 and 4, swap them to get [3, 5, 4, 8, 2]. It would then compare 8 and 2, swap them to get [3, 5, 4, 2, 8]. The first pass is now complete, and the largest element, 8, is at the end of the array.

The second pass would start with comparing 3 and 5, not swapping them. It would then compare 5 and 4, swap them to get [3, 4, 5, 2, 8]. It would then compare 5 and 2, swap them to get [3, 4, 2, 5, 8]. It would then compare 5 and 8, not swapping them. The second pass is now complete, and the second largest element, 5, is in its correct position.

The third pass would start with comparing 3 and 4, not swapping them. It would then compare 4 and 2, swap them to get [3, 2, 4, 5, 8]. It would then compare 4 and 5, not swapping them. It would then compare 5 and 8, not swapping them. The third pass is now complete, and the third largest element, 4, is in its correct position.

The fourth pass would start with comparing 3 and 2, swap them to get [2, 3, 4, 5, 8]. It would then compare 3 and 4, not swapping them. It would then compare 4 and 5, not swapping them. It would then compare 5 and 8, not swapping them. The fourth pass is now complete, and the array is fully sorted.

Bubble sort has a worst-case time complexity of O(n^2), which means it is not efficient for large arrays. However, it is simple to understand and implement, making it useful for small arrays or as a teaching tool.

ALGORITHM:

The algorithm of bubble sort can be described in the following steps:

1. Start by iterating through the array from the first element to the second last element. This will be used to compare each element with its adjacent element.
2. For each pair of adjacent elements, compare them and swap them if they are in the wrong order. In other words, if the first element is greater than the second element, swap them.
3. After the first iteration, the largest element will be at the end of the array. Repeat the process for the remaining unsorted elements, from the first element to the second last element again.
4. Continue this process until the entire array is sorted.
5. The sorted array is now ready for use.

PSEUDO CODE:

Here's the algorithm of bubble sort in pseudocode:

In this algorithm, we use two nested loops to iterate through the array and compare each adjacent element. The outer loop iterates from the first element to the second last element, and the inner loop iterates from the first element to the second last element minus the number of iterations of the outer loop. This is because, after each iteration of the outer loop, the largest element is moved to the end of the array, and we don't need to compare it again.

The swap function is used to swap the two elements if they are in the wrong order. This function can be implemented using a temporary variable or without it using bitwise operators.

Bubble sort is a simple sorting algorithm, but it has a worst-case time complexity of O(n^2), which makes it inefficient for large arrays. However, it is easy to understand and implement, and can be useful for small arrays or as a teaching tool.

PYTHON CODE:

Here's an example Python code implementation of the Bubble Sort algorithm:

In this code, the bubble_sort() function takes an array arr as input and performs the bubble sort algorithm on it. The function uses two nested loops to traverse through all array elements and compare adjacent elements to determine whether a swap is needed. If a swap is needed, the function exchanges the two elements using the Python tuple syntax (a, b) = (b, a).

To test the code, we create an example array arr and call the bubble_sort() function on it. After the function completes, we print out the sorted array.

JAVA CODE:

Here's an example Java code implementation of the Bubble Sort algorithm:

In this code, the bubbleSort() method takes an integer array arr as input and performs the bubble sort algorithm on it. The method uses two nested loops to traverse through all array elements and compare adjacent elements to determine whether a swap is needed. If a swap is needed, the method exchanges the two elements using a temporary variable temp.

To test the code, we create an example integer array arr and call the bubbleSort() method on it. After the method completes, we print out the sorted array using the Arrays.toString() method to display the array as a string.

C CODE:

Here's an example C code implementation of the Bubble Sort algorithm:

In this code, the bubble_sort() function takes an integer array arr and its length n as input and performs the bubble sort algorithm on it. The function uses two nested loops to traverse through all array elements and compare adjacent elements to determine whether a swap is needed. If a swap is needed, the function exchanges the two elements using a temporary variable temp.

To test the code, we create an example integer array arr and call the bubble_sort() function on it, passing its length as a parameter. After the function completes, we print out the sorted array using a for loop to display each element in the array.

C++ CODE:

Here's an example C++ code implementation of the Bubble Sort algorithm:

In this code, the bubble_sort() function takes an integer array arr and its length n as input and performs the bubble sort algorithm on it. The function uses two nested loops to traverse through all array elements and compare adjacent elements to determine whether a swap is needed. If a swap is needed, the function exchanges the two elements using a temporary variable temp.

To test the code, we create an example integer array arr and call the bubble_sort() function on it, passing its length as a parameter. After the function completes, we print out the sorted array using a for loop to display each element in the array. We use the cout object from the iostream library to print the output.

JAVASCRIPT CODE:

Here's an example JavaScript code implementation of the Bubble Sort algorithm:

In this code, the bubbleSort() function takes an array arr as input and performs the bubble sort algorithm on it. The function uses two nested loops to traverse through all array elements and compare adjacent elements to determine whether a swap is needed. If a swap is needed, the function exchanges the two elements using a temporary variable temp.

To test the code, we create an example array arr and call the bubbleSort() function on it. After the function completes, we print out the original and sorted arrays using the console.log() method to display the arrays as strings in the console.