Code Directory
 Visual Basic & VB.NET
New Code
Vue Injector 3.3
Spectrum Analyzer pro Live 2019
Devart Excel Add-in for HubSpot 2.1
RentALLScript - Airbnb clone 2.2
SuiteCRM Theme Customization 7.11.6
iScripts NetMenus 3.1
iScripts EasyIndex 2.2
iScripts EasySnaps 2.0
Australia MyPost shipping For Magento 2 1.0.0
Australia Post eParcel For Magento 1.1.1
Source Control for SQL Server 2.0
Answers phpSoftPro 3.12
Exlcart 2.0
School College ERP 1.3.2
White-label Grocery Delivery App Solution 2.0
Top Code
Put your app in the System Tray 1.1
OpenGl 3D Effect 1.1
Custom Order Form2 1
Ticket Booking Software – PHP Scripts mall 1.0.2
Cuckoo Optimization Algorithm 1.0
Wiener filter for Noise Reduction and speech enhancement 1.0
T-Shirt Designer Software 4.0
MLM Forced Matrix Plan Software 1.0.2
Virtual Greeting Card Server Script 2.I
BugHotel Reservation System 3.2.1
OpenGL 3D Temple for Graphics and Animations 1.1
Fm Radio+mp3 Player+volume cont.
RTWedit Script 0.3.4
MP3Producer 1.15
Ticket Booking System 1.0
Top Rated
Answers phpSoftPro 3.12
phpEnter 5.1.
Quick Maps For Dynamics CRM 3.1
Single Leg MLM 1.2.1
Azizi search engine script PHP 4.1.10
Paste phpSoftPro 1.4.1
Extreme Injector 3.7
Deals and Discounts Website Script 1.0.2
Solid File System OS edition 5.1
Classified Ad Lister 1.0
Aglowsoft SQL Query Tools 8.2
Invoice Manager by PHPJabbers 3.0
ICPennyBid Penny Auction Script 4.0
PHP Review Script 1.0
ATN Resume Finder 2.0
File ID: 80098

Download THE FASTEST WAY TO SORT N NUMBERS: sortN library 1.0 Error Link
License: Freeware
File Size: 10.0 KB
Downloads: 65
Submit Rating:
THE FASTEST WAY TO SORT N NUMBERS: sortN library 1.0 Description
Description: Have you ever thought about the fastest way to sort N numbers?

Last week I wrote a post about the fastest way to sort 3 numbers, this week I show you a tricky way to optimize the sort of N numbers.

The problem of sorting an array of numbers is probably the most studied in computer science. The efficiency of a sort algorithm depends essentially on the number of comparisons and swaps it needs to reach the solution. This post contains an optimized sort algorithm for small buckets (to my knowledge the fastest).

Currently most of sorting algorithms uses quick sort for large buckets and insertion sort for smaller ones. Both these algorithms uses an optimized way to swaps and compare numbers. The sortN library is a further optimization of this operations. It does first all the needed comparisons and then, only in the end, it swaps values to reach the sorted solution only in the end. It is in practice an enhanced Insertion sort algorithm.
The sortN library

The library is written in C++, but it can be written in any code, and supports arrays up to 7 elements. It can be applied , in theory, to array of any size but we will see this can not be realized in practice, only small arrays can be sorted.

The sortN libary can be considered enhanced insertion sort algorithm.

It contains a list of optimized function to sort 3,4,5,6,7 values. Each function is optimized to sort an N number of values.

Here is the approach to the solution:

N numbers can be disposed in Nc combinations where Nc is N!.

We may think to write a recursive code that reach the sorted solution in the way algorithms for permutations does.

The permutations represents all the possible solutions, depending on the value of each comparison (between 2 values of the array) a permutation is chosen or refused.

This allows, depending on the results of the comparisons, to build a decisionary tree that unequivocally leads to the permutation that represents the solution. Once we know the solution we can optimize swaps to reach it.

Notice that no swaps must be done done before we know the exact solution. This can be considered an enhanced insertion sort algorithm.

The number of comparisons possible are great even for a relative small array, we can not think about writing by hand the code, we need some function to do job for us. Thatd-deOaos what the sort library does, it prints the enhanced insertion sort algorithm.

There is a small disadvantage: the problem has size N!. It becomes huge for relative small buckets like 8 numbers. The sort8 function requires a 10MB file, I waited10 minutes for the compiler to build it, but no success, then I give up and decide to use the library till sort7 function.
The sortN function

You probably got confused, so here it is the code that I hope will clarify the concept.

The sort N function is a MATLAB script that prints the enhanced insertionsort algorithm for N values.

It recursively finds all the solutions and it prints optimized swaps.

License: Freeware

Related: algorithmthe sortn, algorithmthe number, Algorithms, algorithmthere, all the, optimized, Enhanced, Array, depending, algorithmit, Algorithm, thought, will see this, clarify, Sort, File, values, algorithm depends, Writing

O/S:BSD, Linux, Solaris, Mac OS X

File Size: 10.0 KB

Downloads: 65

More Similar Code

Stipple is the fastest way to label and share the content of photos on your site or blog. Labeling your pictures is easy, just briefly describe the people, places or things in your photos. When readers mouse-over your images, they can discover information from your labels.

Installation :

1. If you have added Stipple previously directly to your WordPress templates, first remove what was added to your...

The fastest way to remove duplicates from a sequence depends on some pretty subtle properties of the sequence elements, such as whether they're hashable, and whether they support full comparisons. The unique() function tries three methods, from...

The Python way to detach a process from the controlling terminal and run it in the
background as a daemon.

This program provides you with the fastest way to configure/choose Windows 95 Native Winsock's profiles, Trumpet Winsock's telephones and HyperTerminal's sessions. Simple one mouse click on the tray bar's icon and configure your favorite...

The easiest, safest, and fastest way to create custom post types in WordPress

Recent Photos Plugin provides with a widget to display n numbers of recent photos from the media library in the sidebar. The display can be customized through custom css or integrated in main style sheet file. Also provides an option to use...

Foter is the easiest and fastest way to add Creative Commons photos to your blog. We find and host millions of photos from many online sources and make them available to be included in your blog posts.

This plugin lets you seach, manage...

SuperFastDistinct. is the fastest way on the planet to obtain all the distinct values from a table. All you need is a TTable (or equivalent) and an index on the field(s) you wish to retrieve. Up to 5x, 10x, 100x faster than SQL Over 500x faster...

The recipe illustrates a Python implementation of the bitsort algorithm. This algorithm is illustrated in the book "Programming Pearls" by Jon Bentley. The bitsort algorithm provides a very efficient way to sort large numbers in disk files.

This recipe shows a way to generate section numbers for a nested document structure. It can be used within a recursive algorithm to build a table of contents.

User Review for THE FASTEST WAY TO SORT N NUMBERS: sortN library
- required fields

Please enter text on the image