//******************************************************************************
//
// File:    PiClu.java
// Package: edu.rit.clu.monte
// Unit:    Class edu.rit.clu.monte.PiClu
//
// 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.mp.buf.LongItemBuf;

import edu.rit.pj.Comm;

import edu.rit.pj.reduction.LongOp;

import edu.rit.util.LongRange;
import edu.rit.util.Random;

/**
 * Class PiClu is a 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=K edu.rit.clu.monte.PiClu seed N *
K = Number of parallel processes *
seed = Random seed *
N = Number of random points *

* The computation is performed in parallel in multiple threads. The program * uses class edu.rit.util.Random for its pseudorandom number generator. To * improve performance, each process 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 27-Jun-2007 */ public class PiClu { // Prevent construction. private PiClu() { } // Program shared variables. // World communicator. static Comm world; static int size; static int rank; // 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); 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 range of iterations for this thread. LongRange range = new LongRange (0, N-1) .subrange (size, rank); long my_N = range.length(); // Set up PRNG and skip ahead over the random numbers the lower-ranked // processes will generate. prng = Random.getInstance (seed); prng.skip (2 * range.lb()); // Generate random points in the unit square, count how many are in the // unit circle. count = 0L; for (long i = 0L; i < my_N; ++ i) { double x = prng.nextDouble(); double y = prng.nextDouble(); if (x*x + y*y <= 1.0) ++ count; } // Reduce all processes' counts together into process 0. LongItemBuf buf = new LongItemBuf(); buf.item = count; world.reduce (0, buf, LongOp.SUM); count = buf.item; // Stop timing. time += System.currentTimeMillis(); // Print results. System.out.println (time + " msec total " + rank); if (rank == 0) { 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 -Dpj.np= edu.rit.clu.monte.PiClu "); System.err.println (" = Number of parallel processes"); System.err.println (" = Random seed"); System.err.println (" = Number of random points"); System.exit (1); } }

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