Examples
A classic example of an adaptive sorting algorithm is Straight Insertion Sort. In this sorting algorithm, we scan the input from left to right, repeatedly finding the position of the current item, and insert it into an array of previously sorted items.
In pseudo-code form, the Straight Insertion Sort algorithm could look something like this:
procedure Straight Insertion Sort (X, n): X := − ∞; for j := 2 to n do begin i := j − 1; t := X; while t < X do begin X := X; i := i - 1 end; X := t; end;The performance of this algorithm can be described in terms of the number of inversions in the input, and then T(n) will be roughly equal to I(A) + (n - 1), where I(A) is the number of Inversions. Using this measure of presortedness – being relative to the number of inversions – Straight Insertion Sort takes less time to sort the closer it is to being sorted.
Other examples of adaptive sorting algorithms are Adaptive Heap-Sort and Adaptive Merge-Sort. Dijkstra’s Smoothsort algorithm is a variation on heap-sort that is also considered an adaptive sorting algorithm.
Timsort, used as the generic sorting algorithm for several programming languages including Python, is adaptive.
Read more about this topic: Adaptive Sort
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