Parallel Computation for Matrix Multiplication in C#

Program.cs

/*
  Copyright (c) 2016 Tanay PrabhuDesai, Sameer Jain, Akshaya Prabhu Salgaonkar
  
  Permission is hereby granted, free of charge, to any person obtaining a copy
  of this software and associated documentation files (the "Software"), to deal
  in the Software without restriction, including without limitation the rights
  to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  copies of the Software, and to permit persons to whom the Software is
  furnished to do so, subject to the following conditions:
  
  The above copyright notice and this permission notice shall be included in
  all copies or substantial portions of the Software.
  
  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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  OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
  THE SOFTWARE.
*/
using System;
using System.Threading;
using System.Linq;
using System.Collections.Generic;
using System.Diagnostics;
using System.Threading.Tasks;
using Aneka;
using Aneka.Entity;
using Aneka.Threading;
using Aneka.Tasks;

namespace Test
{
	class Matrix
	{
		long [,]matA;
		long [,]matB;
		long [,]matC;
		long n,m,o;
		class Element{
			public long x, y;
		}
		public void RandomizeMatAB(int n, int m, int o){
			this.m = m;
			this.n = n;
			this.o = o;
			matA = new long[n, m];
			matB = new long[m, o];
			matC = new long[n,o];
			var rnd = new Random (int.Parse(DateTime.Now.ToString("HHmmssfff"))+(int)(n*o));
			for (long i = 0 ; i < n ; ++i) {
				for (long j = 0; j < m; ++j) {
					matA [i,j] = rnd.Next (0, n*o);
				}
			}
			for (long i = 0 ; i < m ; ++i) {
				for (long j = 0; j < o; ++j) {
					matB [i,j] = rnd.Next (0, n*o);
				}
			}
		}
		public void SeqMultiply(){
			for (long i = 0; i < n; ++i) {
				for (long j = 0; j < o; ++j) {
					for (long k = 0; k < m; ++k) {
						matC[i,j] += matA[i,k]*matB[k,j];
					}
				}
			}
		}
		private void ComputeElement(Object _elem) {
			Element elem = (Element)_elem;
			matC [elem.x, elem.y] = 0;
			for (int i = 0; i < m; ++i) {
				matC [elem.x, elem.y] += matA [elem.x, i] * matB [i, elem.y];
			}
		}
		private void ComputeElements(Object _range) {
			Element range = (Element)_range;
			for (long i = range.x ; i < range.y ; ++i) {
				for (long j = range.x ; j < range.y ; ++j) {
					Element elem = new Element();
					elem.x = i;
					elem.y = j;
					for (int k = 0; k < m ; ++k) {
						ComputeElement (elem);
					}
				}
			}
		}
		public void ParallelThreadSplitMultiply(int split) {
			long subLength = this.m / split;
			Thread[] th = new Thread[split];
			Element elem;
			for (var i = 0 ; i < split ; ++i) {
				elem = new Element ();
				th [i] = new Thread (new ParameterizedThreadStart(ComputeElements));
				elem.x = i*subLength;
				elem.y = (i+1)*subLength;
				th [i].Start (elem);
			}
			for (var i = 0; i < split; ++i) {
				th [i].Join ();
			}
		}
		public void ParallelThreadMultiply(){
			Thread[,] th = new Thread[n,o];
			for (long i = 0; i < n; ++i) {
				for (long j = 0; j < o; ++j) {
					Element elem = new Element ();
					elem.x = i;
					elem.y = j;
					th [i,j] = new Thread (new ParameterizedThreadStart(ComputeElement));
					th [i,j].Start(elem);
				}
			}
			for (long i = 0; i < n; ++i) {
				for (long j = 0; j < o; ++j) {
					th [i, j].Join ();
				}
			}
		}
		public void ParallelForMultiply(){
			Parallel.For(0, n,i => {
				Parallel.For(0, o,j => {
					Element elem = new Element ();
					elem.x = i;
					elem.y = j;
					ComputeElement(elem);
				});
			});
		}
		public override string ToString() {
			string res = "";
			for (long i = 0; i < n; ++i) {
				for (long j = 0; j < m; ++j) {
					res += (matA [i, j] + " ");
				}
				res += "\n";
			}
			res += "\n\n\n";
			for (long i = 0; i < m; ++i) {
				for (long j = 0; j < o; ++j) {
					res += (matB [i, j] + " ");
				}
				res += "\n";
			}
			res += "\n\n\n";
			for (long i = 0; i < n; ++i) {
				for (long j = 0; j < o; ++j) {
					res += (matC [i, j] + " ");
				}
				res += "\n";
			}
			return res;
		}
	}

	class MainClass
	{
		public static void PerformMultiplication(int a, int b, int c) {
			Stopwatch sw = new Stopwatch();

			Matrix mat = new Matrix ();
			mat.RandomizeMatAB (a,b,c);
			sw = new Stopwatch();

			sw.Start ();
			mat.SeqMultiply ();
			sw.Stop ();
			Console.WriteLine ("Time Sequential MatMul elapsed: "+sw.Elapsed);

			sw.Restart ();
			mat.ParallelThreadMultiply ();
			sw.Stop ();
			Console.WriteLine ("Time for Thread Parallel MatMul elapsed: "+sw.Elapsed);

			sw.Restart ();
			mat.ParallelForMultiply ();
			sw.Stop ();
			Console.WriteLine ("Time Parallel For MatMul elapsed: "+sw.Elapsed);

			sw.Restart ();
			mat.ParallelThreadSplitMultiply (b/4);
			sw.Stop ();
			Console.WriteLine ("Time Parallel Thread with split MatMul elapsed: "+sw.Elapsed);

		}
		public static void Main (string[] args)
		{
			// ----- Performing matrix multiplication on two 50 X 50 matrices
			Console.WriteLine("Matrix multiplication of two 50 X 50 matrices");
			PerformMultiplication (50, 50, 50);
			Console.WriteLine ();
			// ----- End of stress test on 50 X 50 matrices

			// ----- Performing matrix multiplication on two 100 X 100 matrices
			Console.WriteLine("Matrix multiplication of two 100 X 100 matrices");
			PerformMultiplication (100, 100, 100);
			Console.WriteLine ();
			// ----- End of stress test on 100 X 100 matrices

			// ----- Performing matrix multiplication on two 200 X 200 matrices
			Console.WriteLine("Matrix multiplication of two 200 X 200 matrices");
			PerformMultiplication (200, 200, 200);
			Console.WriteLine ();
			// ----- End of stress test on 200 X 200 matrices
		}
	}
}