They are intended to be drawn quickly as a tool for evaluating space usage and allocation. The more important difference lies in how they are used.īubble diagrams are composed of shapes, typically round or oval, hence the name “bubble”. Part of the confusion is simply an issue with how they may be drawn causing them to look slightly different. They are often referred to synonymously but I think they have different roles in the design process. No swaps were made, so the array is sorted.I tend to treat bubble diagrams and functional diagrams as two different analysis tools.
Second pass goes from top to bottom and pushes the smallest element toįirst position. Towards the last and pushes the biggest bubble to the top. It alternates theĭirections of the passes. Shaker sort is a modification of bubble sort. The turtles are a problem that can be solved using the Such small elements, that are far from their place are called In case 2, the unsorted number “1” needed 5 These big elements that find their place rather quickly are called Isn't this second case ridiculous? All that work to sort one number. Were made, so the algorithm recognizes the sorted array and stops.Ĭase 2: 2, 3, 4, 5, 6, 1 Pass 1: 1. No Bubble sort has rabbits and turtles - no kidding! In larger arrays this will save more steps. In the example above we will not do the 4th If the variable is false, then it is “job done” and we The array is still not sorted and the bubble sort continues with the This variable remembers if a swap was made in the last pass. To cut the unnecessary passes we add a boolean variable. Looking at the last example we notice that the array was sorted in the second pass. This limitsįurther the number of unnecessary comparisons. There is no need to check further in the next passes.
Swaps after that index, the rest of the array is already sorted and We can remember the position of the last swap. Can we optimize the bubble sort even more? Sure. Good optimization, don't you think? Yes, it is good, but for largeĪrrays it is still too slow. 3 > 5? No We know that 7 and 8 are in sorted, so pass 3 is over. Swap: 0, 3, 5, 7, 8 We know 8 is in place so pass 2 has only 3 Limit the range of every pass after the first. Know that we don't need to swap those elements. Second greatest number will take its place, too. Its final place? It is easy to notice that after the second pass the Sort? Do you remember that after the first pass the biggest number took Problem, because the swapping is generally slower operation than theĬan we improve the efficiency of the original bubble Limit the number of comparisons in each passĪs you can see the algorithm does many unnecessary comparisons.Īlso it does many swaps of elements and this is a problem. Printf( "Basic bubble sort finished, using %d iterations. Void bubbleSortBasic( int array, int size) That the array is already sorted, but the algorithm needs to do two more passes to complete. You may notice that the biggest number in the array 8 moved toĨ 1. 8 > 5? -Yes => Swap: 7, 0, 3, 5,Ĩ With this we reached the end of the array and the first pass is This way the larger “bubbles” make their way to the top.Īs usual, we will follow one example step by step: Sort the array: If the compared elements are in the wrong order, they swap their Step of the pass compares the current element to its right neighbor. Starts from the beginning of the array and goes towards the end. The bubble sort makes n - 1 passes through the array.
Interesting problems and optimizations that are useful for studying Despite being useless in practice, bubble sort offers some
#Bubble flow chart code#
If you need to sort a small amount of data and want to avoid the overhead and the complex code of the advanced algorithms, go for the insertion sort.
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