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This is a parallel realization of quicksort algorithm, which implements MPI technology of message-passing between processes (or processors). The processors interact here as elements of a hypercube.

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MPI-Quicksort-Hypercubes

The goal: Realization of quicksort algorithm with means of MPI library. The set of processes is imagined and used as a hypercube. (If you don't know, what is a hypercube, please google it, because it is hard to explain in a nutshell without pictures.)

Input data: Text file with int numbers, separated with space. (There is a sample file with 100 random int numbers in a repo. You may use it to test the program.)

NOTE: The code is written mostly in educational purposes by a programming noob.

A simplified scheme of a program:

  1. An array of numbers is divided in equal parts and spreaded among all processes.
  2. The first process in this hypercube calculates pivot as a mean of numbers in his array.
  3. Each process divides its part in two according to pivot. Process with first bit of binary rank equal to 0 sends numbers > pivot to its partner. Partners (first bit = 1) send smaller numbers. Thus 0* processes will have smaller numbers, 1* prosesses - greater numbers.
  4. Hypercube is divided in two hypercubes. Now we won't look on the first bit, the criterion of partner-choosing will be the second bit.
  5. Steps 2-4 are repeated N times, where 2^N = number of processes.
  6. After N iterations the numbers of process 0 will be < the numbers of process 1 < the numbers of process 2 < ... and so on. Processes can now sort numbers sequentially with normal quicksort.
  7. Results are gathered and written by the master process.

Credit: I used ideas suggested in a textbook by V. Gergel, Theory and Practice of Parallel Calculations

How to configure your Visual Studio to use MPI: There is a good and simple article here: https://blogs.technet.microsoft.com/windowshpc/2015/02/02/how-to-compile-and-run-a-simple-ms-mpi-program/

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This is a parallel realization of quicksort algorithm, which implements MPI technology of message-passing between processes (or processors). The processors interact here as elements of a hypercube.

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