Let’s say we have an array of data represented by some text followed by a number. Just like the movies from a movie series like “Mission Impossible” or “Pirates of the Carribean”. We know that they are often followed by the consecutive number of the episode.

Mission: Impossible 1
Mission: Impossible 2
Mission: Impossible 3
...

Since we have no more than three or four episodes we can easily sort the array if it’s not sorted initially.

$a = array('Mission: Impossible 2', 'Mission: Impossible 3', 'Mission: Impossible 1');

sort($a);

// Mission: Impossible 1
// Mission: Impossible 2
// Mission: Impossible 3
print_r($a);

However in some cases we can have more than 10 episodes. Then we can meet a problem while sorting the array above.

$a = array('Episode 1', 'Episode 2', 'Episode 11', 'Episode 112');

sort($a);

// Episode 1
// Episode 11
// Episode 112
// Episode 2
print_r($a);

Now because this is by default an alphabetical sort order we get an array that isn’t sorted to our human undestanding.

The question is how to overcome this problem?

PHP

First the thing we actually need is called “natural sort”, so PHP (with its full of handful functions library) takes care for us with natsort.

$a = array('Episode 1', 'Episode 2', 'Episode 11', 'Episode 112');

natsort($a);

// Episode 1
// Episode 2
// Episode 11
// Episode 112
print_r($a);

Now the array is sorted accordingly.

MySQL

MySQL in the other hand appears to be more hostile to natural sorting. We can just have ORDER BY with some keyword in order to sort a column using natural sort.

Given the table data:

my_table
-----------------------------------------
|	id	|	name		|
-----------------------------------------
|	1	|	Episode 2	|
|	2	|	Episode 1	|
|	3	|	Episode 112	|
|	4	|	Episode 11	|
-----------------------------------------

SELECT * FROM my_table ORDER BY name;

The query above will return the table in an alphabetical order.

my_table
-----------------------------------------
|	id	|	name		|
-----------------------------------------
|	2	|	Episode 1	|
|	4	|	Episode 11	|
|	3	|	Episode 112	|
|	1	|	Episode 2	|
-----------------------------------------

However there are some “hacks”. Here’s one of them.

SELECT * FROM my_table ORDER BY LENGTH(name), name;

Now the column is sorted correctly.

my_table
-----------------------------------------
|	id	|	name		|
-----------------------------------------
|	2	|	Episode 1	|
|	1	|	Episode 2	|
|	4	|	Episode 11	|
|	3	|	Episode 112	|
-----------------------------------------

It’s weird that bubble sort is the most famous sorting algorithm in practice since it is one of the worst approaches for data sorting. Why is bubble sort so famous? Perhaps because of its exotic name or because it is so easy to implement. First let’s take a look on its nature.

Bubble sort consists of comparing each pair of adjacent items. Then one of those two items is considered smaller (lighter) and if the lighter element is on the right side of its neighbour, they swap places. Thus the lightest element bubbles to the surface and at the end of each iteration it appears on the top. I’ll try to explain this simple principle with some pictures.

1. Each two adjacent elements are compared

Here “2” appears to be less than “4”, so it is considered lighter and it continues to bubble to the surface (the front of the array).

2. Swap with heavier elements

On his way to the surface the currently lightest item meets a heavier element. Then they swap places.

3. Move forward and swap with each heavier item

The problem with bubble sort is that you may have to swap a lot of elements.

4. If there is a lighter element, then this item begins to bubble to the surface

If the currently lightest element meets another item that is lighter, then the newest currently lightest element starts to bubble to the top.

5. Finally the lightest element is on its place

At the end of each iteration we can be sure that the lightest element is on the right place – at the beginning of the list.

The problem is that this algorithm needs a tremendous number of comaprisons and as we know already this can be slow.

We can easily see how ineffective bubble sort is. Now the question remains – why is it so famous? Maybe indeed the answer lies in the simplicity of its implementation. Let’s see how to implement bubble sort.

Implementation

Implementing bubble sort is easy. The question is how easy? Well, obviously after understanding the principles of this algorithm every developer, even a beginner, can implement it. Here’s a PHP implementation of bubble sort.

$input = array(6, 5, 3, 1, 8, 7, 2, 4);

function bubble_sort($arr)
{
	$length = count($arr);
	
	for ($i = 0; $i < $length; $i++) {
		for ($j = $length-1; $j > $i; $j--) {
			if ($arr[$j] < $arr[$j-1]) {
				$t = $arr[$j];
				$arr[$j] = $arr[$j-1];
				$arr[$j-1] = $t;
			}
		}
	}
	
	return $arr;
}

// 1, 2, 3, 4, 5, 6, 7, 8
$output = bubble_sort($input);

Clearly the implementation consists of few lines of code and two nested loops.

Complexity: Where's Bubble Sort Compared to Other Sorting Algorithms

Compared to other sorting algorithm, bubble sort is really slow. Indeed the complexity of this algoritm is O(n²) which can't be worse. It's weird that the most well known sorting algorithm is the slowest one.

Even for small values of n, the number of comparisons and swaps can be tremendous.

Another problem is that most of the languages (libraries) have built-in sorting functions, that they don't make use of bubble sort and are faster for sure. So why a developer should implement bubble sort at all?

Application: 3 Cool Reasons To Use Bubble Sort

We saw that bubble sort is slow and ineffective, yet it is used in practice. Why? Is there any reason to use this slow, ineffective algorithm with weird name? Yes and here are some of them that might be helpful for any developer.

1. It is easy to implement

Definitely bubble sort is easier to implement than other "complex" sorting algorithms as quicksort. Bubble sort is easy to remember and easy to code and that's great instead of learning and remembering tons of code.

2. Because the library can't help

Let's say you work with JavaScript. Great, there you get array.sort() which can help for this: [3, 1, 2].sort(). But what would happen if you'd rather like to sort more "complex" structures like ... some DOM nodes. Here we have three LI nodes and we want to sort them in some order. Obviously you can't compare them with the "<" operator, so we've to come up with some custom solution.

Click here to sort the list

node 3
node 1
node 2

Here sort() can’t help us and we’ve to code our own function. However we have only few elements (three in our case). Why not using bubble sort?

3. The list is almost sorted

One of the problems with bubble sort is that it consists of too much swapping, but what if we know that the list is almost sorted?

// almost sorted
[1, 2, 4, 3, 5]

We have to swap only 3 with 4.

Note that in the best case bubble sort’s complexity is O(n) – faster than quicksort’s best case!

This is one of the most slowest algorithms for sorting, but it’s extremely well known because of its easy to implement nature. However as I wrote past Fridays there are lots of sorting algorithms which are really fast, like the quicksort or mergesort. In the case of bubble sort the nature of the algorithm is described in its name. The smaller element goes to the top (beginning) of the array as a bubble goes to the top of the water.

There is a cool animation showing how bubble sort works in compare to the quick sort and you can practically see how slow is bubble sort because of all the comparing.

QuickSort vs. BubbleSort

Pseudo Code

Actually what I’d like to show you is how you can move from pseudo code to code in practice. Here’s the pseudo code from Wikipedia.

procedure bubbleSort( A : list of sortable items ) defined as:
  do
    swapped := false
    for each i in 0 to length(A) - 2 inclusive do:
      if A[i] > A[i+1] then
        swap( A[i], A[i+1] )
        swapped := true
      end if
    end for
  while swapped
end procedure

JavaScript Source

var a = [34, 203, 3, 746, 200, 984, 198, 764, 9];

function bubbleSort(a)
{
    var swapped;
    do {
        swapped = false;
        for (var i=0; i < a.length-1; i++) {
            if (a[i] > a[i+1]) {
                var temp = a[i];
                a[i] = a[i+1];
                a[i+1] = temp;
                swapped = true;
            }
        }
    } while (swapped);
}

bubbleSort(a);
console.log(a);

As a result you’ve a sorted array!