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Gamasort, an improved Radix Sort Exchange Algorithm

by Joseph Gama (1 Submission)
Category: Data Structures
Compatability: Visual Basic 5.0
Difficulty: Advanced
Date Added: Wed 3rd February 2021
Rating: (2 Votes)

* This is a Radix Sort Exchange routine which will work only on
* unsigned integers (unlike a general sorting function which
* works based on comparisons). Since its complexity overhead
* is pretty large, it is efficient on big array where the
* maximum number is bounded by a relatively small ceiling.
* E.g. a big array of bytes or shorts.

Assumes
* The algorithm is pretty simple: * 1) It will first find the maximum and minimum radices in order to see * if it can skip some radices. Then it proceeds to order * from the numbers with the most-significant set-bit downwards * 2) It leaves the unsorted segments of length == CUTOFF unsorted. * 3) From higher bit to lower it will compare numbers * based on the bit being scanned. This process is * improved by using 2 pivots that will move 0's to the * left and 1's to the right. * 4) When finding the pivots it looks for the best case * of all 0's or 1's to skip more scanning. * 5) A low overhead Insertion Sort finishes the job. * * To make it an O(n*log(n)) algorithm in which the 'n' * is proportional to the largest number in the sorted array * requiers commenting Call InSort(t(), 1, up) * and also commenting (up-lo>CUTOFF)AND * Which is clearly detailed in the code

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