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In computing, natural sort order (or natural sorting) is the ordering of strings in alphabetical order, except that multi-digit numbers are treated atomically, i.e., as if they were a single character. Natural sort order has been promoted as being more human-friendly ("natural") than machine-oriented, pure alphabetical sort order. [1]
One implementation can be described as arranging the data sequence in a two-dimensional array and then sorting the columns of the array using insertion sort. The worst-case time complexity of Shellsort is an open problem and depends on the gap sequence used, with known complexities ranging from O ( n 2 ) to O ( n 4/3 ) and Θ( n log 2 n ).
import random # this function checks whether or not the array is sorted def is_sorted (random_array): for i in range (1, len (random_array)): if random_array [i] < random_array [i-1]: return False return True # this function repeatedly shuffles the elements of the array until they are sorted def bogo_sort (random_array): while not is_sorted (random_array): random. shuffle (random_array) return ...
While the terms allude to the rows and columns of a two-dimensional array, i.e. a matrix, the orders can be generalized to arrays of any dimension by noting that the terms row-major and column-major are equivalent to lexicographic and colexicographic orders, respectively. It is also worth noting that matrices, being commonly represented as ...
The average case is also quadratic, [4] which makes insertion sort impractical for sorting large arrays. However, insertion sort is one of the fastest algorithms for sorting very small arrays, even faster than quicksort; indeed, good quicksort implementations use insertion sort for arrays smaller than a certain threshold, also when arising as ...
A bidirectional variant of selection sort (called double selection sort or sometimes cocktail sort due to its similarity to cocktail shaker sort) finds both the minimum and maximum values in the list in every pass. This requires three comparisons per two items (a pair of elements is compared, then the greater is compared to the maximum and the ...
The function nextSort is a sorting function used to sort each bucket. Conventionally, insertion sort is used, but other algorithms could be used as well, such as selection sort or merge sort . Using bucketSort itself as nextSort produces a relative of radix sort ; in particular, the case n = 2 corresponds to quicksort (although potentially with ...
Finally, the sorting method has a simple parallel implementation, unlike the Fisher–Yates shuffle, which is sequential. A variant of the above method that has seen some use in languages that support sorting with user-specified comparison functions is to shuffle a list by sorting it with a comparison function that returns random values.