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Alan Kaminsky
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Department of Computer Science
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Rochester Institute of Technology
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4486 +
1980 =
6466
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Home Page
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//******************************************************************************
//
// File: PiSeq.java
// Package: edu.rit.clu.monte
// Unit: Class edu.rit.clu.monte.PiSeq
//
// This Java source file is copyright (C) 2007 by Alan Kaminsky. All rights
// reserved. For further information, contact the author, Alan Kaminsky, at
// ark@cs.rit.edu.
//
// This Java source file is part of the Parallel Java Library ("PJ"). PJ is free
// software; you can redistribute it and/or modify it under the terms of the GNU
// General Public License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// PJ is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
// A PARTICULAR PURPOSE. See the GNU General Public License for more details.
//
// A copy of the GNU General Public License is provided in the file gpl.txt. You
// may also obtain a copy of the GNU General Public License on the World Wide
// Web at http://www.gnu.org/licenses/gpl.html.
//
//******************************************************************************
package edu.rit.clu.monte;
import edu.rit.pj.Comm;
import edu.rit.util.Random;
/**
* Class PiSeq is a sequential program that calculates an approximate value for
* π using a Monte Carlo technique. The program generates a number of random
* points in the unit square (0,0) to (1,1) and counts how many of them lie
* within a circle of radius 1 centered at the origin. The fraction of the
* points within the circle is approximately π/4.
* <P>
* Usage: java edu.rit.clu.monte.PiSeq <I>seed</I> <I>N</I>
* <BR><I>seed</I> = Random seed
* <BR><I>N</I> = Number of random points
* <P>
* The computation is performed sequentially in a single processor. The program
* uses class edu.rit.util.Random for its pseudorandom number generator. The
* program measures the computation's running time. This establishes a benchmark
* for measuring the computation's running time on a parallel processor.
*
* @author Alan Kaminsky
* @version 31-Jan-2007
*/
public class PiSeq
{
// Prevent construction.
private PiSeq()
{
}
// Program shared variables.
// Command line arguments.
static long seed;
static long N;
// Pseudorandom number generator.
static Random prng;
// Number of points within the unit circle.
static long count;
// Main program.
/**
* Main program.
*/
public static void main
(String[] args)
throws Exception
{
// Start timing.
long time = -System.currentTimeMillis();
// Initialize middleware.
Comm.init (args);
// Validate command line arguments.
if (args.length != 2) usage();
seed = Long.parseLong (args[0]);
N = Long.parseLong (args[1]);
// Set up PRNG.
prng = Random.getInstance (seed);
// Generate n random points in the unit square, count how many are in
// the unit circle.
count = 0L;
for (long i = 0L; i < N; ++ i)
{
double x = prng.nextDouble();
double y = prng.nextDouble();
if (x*x + y*y <= 1.0) ++ count;
}
// Stop timing.
time += System.currentTimeMillis();
// Print results.
System.out.println (time + " msec total");
System.out.println
("pi = 4 * " + count + " / " + N + " = " +
(4.0 * count / N));
}
// Hidden operations.
/**
* Print a usage message and exit.
*/
private static void usage()
{
System.err.println ("Usage: java edu.rit.clu.monte.PiSeq <seed> <N>");
System.err.println ("<seed> = Random seed");
System.err.println ("<N> = Number of random points");
System.exit (1);
}
}
|
Alan Kaminsky
|
|
•
|
|
Department of Computer Science
|
|
•
|
|
Rochester Institute of Technology
|
|
•
|
|
4486 +
1980 =
6466
|
|
Home Page
|
Copyright © 2007 Alan Kaminsky.
All rights reserved.
Last updated 01-Apr-2012.
Please send comments to ark@cs.rit.edu.