//******************************************************************************
//
// File: PiHyb.java
// Package: edu.rit.hyb.monte
// Unit: Class edu.rit.hyb.monte.PiHyb
//
// This Java source file is copyright (C) 2008 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.hyb.monte;
import edu.rit.mp.LongBuf;
import edu.rit.mp.buf.LongItemBuf;
import edu.rit.pj.Comm;
import edu.rit.pj.LongForLoop;
import edu.rit.pj.ParallelTeam;
import edu.rit.pj.ParallelRegion;
import edu.rit.pj.reduction.LongOp;
import edu.rit.pj.reduction.SharedLong;
import edu.rit.util.LongRange;
import edu.rit.util.Random;
/**
* Class PiHyb is a hybrid SMP cluster parallel 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.
*
* Usage: java -Dpj.np=Kp -Dpj.nt=Kt edu.rit.hyb.monte.PiHyb
* seed N
*
Kp = Number of parallel processes
*
Kt = Number of parallel threads per process
*
seed = Random seed
*
N = Number of random points
*
* The computation is performed in parallel in multiple processes with multiple
* threads per process. The program uses class edu.rit.util.Random for its
* pseudorandom number generator. To improve performance, each thread has its
* own pseudorandom number generator, and the program uses the reduction pattern
* to determine the count. The program uses the "sequence splitting" technique
* with the pseudorandom number generators to yield results identical to the
* sequential version. The program measures the computation's running time.
*
* @author Alan Kaminsky
* @version 29-Feb-2008
*/
public class PiHyb
{
// Prevent construction.
private PiHyb()
{
}
// Program shared variables.
// World communicator.
static Comm world;
static int size;
static int rank;
// Command line arguments.
static long seed;
static long N;
// Subrange of points this process will do.
static long lb;
static long ub;
// Number of points within the unit circle.
static SharedLong count;
// Main program.
/**
* Main program.
*/
public static void main
(String[] args)
throws Exception
{
// Start timing.
long time = -System.currentTimeMillis();
// Initialize PJ middleware.
Comm.init (args);
world = Comm.world();
size = world.size();
rank = world.rank();
// Validate command line arguments.
if (args.length != 2) usage();
seed = Long.parseLong (args[0]);
N = Long.parseLong (args[1]);
// Determine subrange of points this process will do.
LongRange range = new LongRange (0, N-1) .subrange (size, rank);
lb = range.lb();
ub = range.ub();
// Generate n random points in the unit square, count how many are in
// the unit circle.
count = new SharedLong (0);
new ParallelTeam().execute (new ParallelRegion()
{
public void run() throws Exception
{
execute (lb, ub, new LongForLoop()
{
// Set up per-thread PRNG and counter.
Random prng_thread = Random.getInstance (seed);
long count_thread = 0;
// Extra padding to avert cache interference.
long pad0, pad1, pad2, pad3, pad4, pad5, pad6, pad7;
long pad8, pad9, pada, padb, padc, padd, pade, padf;
// Parallel loop body.
public void run (long first, long last)
{
// Skip PRNG ahead to index .
prng_thread.setSeed (seed);
prng_thread.skip (2 * first);
// Generate random points.
for (long i = first; i <= last; ++ i)
{
double x = prng_thread.nextDouble();
double y = prng_thread.nextDouble();
if (x*x + y*y <= 1.0) ++ count_thread;
}
}
public void finish()
{
// Reduce per-thread counts into shared count.
count.addAndGet (count_thread);
}
});
}
});
// Reduce all processes' shared counts into process 0.
LongItemBuf buf = LongBuf.buffer (count.longValue());
world.reduce (0, buf, LongOp.SUM);
// Stop timing.
time += System.currentTimeMillis();
// Print results.
if (rank == 0)
{
System.out.println
("pi = 4 * " + buf.item + " / " + N + " = " +
(4.0 * buf.item / N));
}
System.out.println (time + " msec " + rank);
}
// Hidden operations.
/**
* Print a usage message and exit.
*/
private static void usage()
{
System.err.println ("Usage: java -Dpj.np= -Dpj.nt= edu.rit.hyb.monte.PiHyb ");
System.err.println (" = Number of parallel processes");
System.err.println (" = Number of parallel threads per process");
System.err.println (" = Random seed");
System.err.println (" = Number of random points");
System.exit (1);
}
}
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