//******************************************************************************
//
// File:    AntiprotonClu.java
// Package: edu.rit.clu.antimatter
// Unit:    Class edu.rit.clu.antimatter.AntiprotonClu
//
// 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.clu.antimatter;

import edu.rit.io.Files;

import edu.rit.mp.DoubleBuf;

import edu.rit.pj.Comm;

import edu.rit.util.Random;
import edu.rit.util.Range;

import edu.rit.vector.Vector2D;

import java.io.BufferedOutputStream;
import java.io.File;
import java.io.FileOutputStream;

/**
 * Class AntiprotonClu is a cluster parallel program that calculates the
 * positions of the antiprotons as a function of time. Each antiproton
 * experiences a net repulsive force from all the other antiprotons. Each
 * antiproton also experiences a force due to a magnetic field perpendicular to
 * the plane in which the antiprotons move.
 * 

* Usage: java -Dpj.np=K edu.rit.clu.antimatter.AntiprotonClu seed * R dt steps snaps N outfile *

* The program runs in K parallel processes. Each process writes its own * output file. If outfile is specified as "out.dat", for * example, then process 0 writes file "out_0.dat", process 1 writes * file "out_1.dat", and so on. *

* The program: *

    *
  1. * Initializes a pseudorandom number generator with seed. *
  2. * Generates N antiprotons positioned at random in the square from * (0.25R,0.25R) to (0.75R,0.75R). *
  3. * Sets each antiproton's initial velocity to 0. *
  4. * Stores a snapshot of the antiprotons' initial positions in the * outfile. *
  5. * Performs steps time steps and stores another snapshot of the * antiprotons' positions in the outfile. Each time step is dt. *
  6. * Repeats Step 5 snaps times. The number of snapshots stored in the * outfile is snaps+1. *
*

* The computation is performed in parallel in multiple processors. The program * measures the computation's running time. *

* Each process holds the entire position array, one slice of the velocity * array, and one slice of the acceleration array. At each time step, each * process calculates its own slice of the acceleration array using the entire * position array. Each process uses its slice of the acceleration array to * update its slices of the velocity and position arrays. Then the processes do * an all-gather of the position array slices, so every processor has the * complete new position array for the next time step. Each process writes * snapshots of its own slice of the position array into the process's own * output file. * * @author Alan Kaminsky * @version 09-Feb-2008 */ public class AntiprotonClu { // Prevent construction. private AntiprotonClu() { } // Hidden constants. // Charge on an antiproton. static final double QP = 3.0; // Magnetic field strength. static final double B = 3.0; static final double QP_QP = QP * QP; static final double QP_B = QP * B; // Hidden variables. // World communicator. static Comm world; static int size; static int rank; // Command line arguments. static long seed; static double R; static double dt; static int steps; static int snaps; static int N; static File outfile; static double one_half_dt_sqr; // Antiproton slices. static Range[] slices; static Range mySlice; static int myLb; static int myLen; // Acceleration, velocity, and position vector arrays. static Vector2D[] a; static Vector2D[] v; static Vector2D[] p; // Total momentum. static Vector2D totalMV = new Vector2D(); // Position array communication buffers. static DoubleBuf[] buffers; static DoubleBuf myBuffer; // Temporary storage. static Vector2D temp = new Vector2D(); // Main program. /** * Main program. */ public static void main (String[] args) throws Exception { // Start timing. long t1 = System.currentTimeMillis(); // Initialize world communicator. Comm.init (args); world = Comm.world(); size = world.size(); rank = world.rank(); // Parse command line arguments. if (args.length != 7) usage(); seed = Long.parseLong (args[0]); R = Double.parseDouble (args[1]); dt = Double.parseDouble (args[2]); steps = Integer.parseInt (args[3]); snaps = Integer.parseInt (args[4]); N = Integer.parseInt (args[5]); outfile = new File (args[6]); one_half_dt_sqr = 0.5 * dt * dt; // Set up antiproton slices. slices = new Range (0, N-1) .subranges (size); mySlice = slices[rank]; myLb = mySlice.lb(); myLen = mySlice.length(); // Create pseudorandom number generator. Random prng = Random.getInstance (seed); // Initialize position vector array with all antiprotons. p = new Vector2D [N]; for (int i = 0; i < N; ++ i) { p[i] = new Vector2D (prng.nextDouble()*R/2+R/4, prng.nextDouble()*R/2+R/4); } // Initialize acceleration and velocity vector arrays with a slice of // antiprotons. a = new Vector2D [myLen]; v = new Vector2D [myLen]; for (int i = 0; i < myLen; ++ i) { a[i] = new Vector2D(); v[i] = new Vector2D(); } // Set up position array communication buffers. buffers = Vector2D.doubleSliceBuffers (p, slices); myBuffer = buffers[rank]; // Set up output file and write initial snapshot. AntiprotonFile out = new AntiprotonFile (seed, R, dt, steps, snaps+1, N, myLb, myLen); AntiprotonFile.Writer writer = out.prepareToWrite (new BufferedOutputStream (new FileOutputStream (Files.fileForRank (outfile, rank)))); writer.writeSnapshot (p, myLb, totalMV); long t2 = System.currentTimeMillis(); // Do snapshots. for (int s = 0; s < snaps; ++ s) { // Advance time by steps. for (int t = 0; t < steps; ++ t) { computeAcceleration(); step(); // All-gather the new antiproton positions. world.allGather (myBuffer, buffers); } // Compute total momentum. computeTotalMomentum(); // Write snapshot. writer.writeSnapshot (p, myLb, totalMV); } // Close output file. writer.close(); // Stop timing. long t3 = System.currentTimeMillis(); System.out.println ((t2-t1) + " msec pre " + rank); System.out.println ((t3-t2) + " msec calc " + rank); System.out.println ((t3-t1) + " msec total " + rank); } // Hidden operations. /** * Compute this process's slice of the antiproton accelerations due to the * repulsive forces from all the antiprotons. */ private static void computeAcceleration() { // Accumulate forces between each pair of antiprotons, but not between // an antiproton and itself. for (int i = 0; i < myLen; ++ i) { Vector2D a_i = a[i]; int index = i + myLb; Vector2D p_i = p[index]; for (int j = 0; j < index; ++ j) { temp.assign (p_i); temp.sub (p[j]); double dsqr = temp.sqrMag(); temp.mul (QP_QP / (dsqr * Math.sqrt(dsqr))); a_i.add (temp); } for (int j = index+1; j < N; ++ j) { temp.assign (p_i); temp.sub (p[j]); double dsqr = temp.sqrMag(); temp.mul (QP_QP / (dsqr * Math.sqrt(dsqr))); a_i.add (temp); } } } /** * Take one time step. */ private static void step() { // Move all antiprotons in this slice. for (int i = 0; i < myLen; ++ i) { Vector2D a_i = a[i]; Vector2D v_i = v[i]; Vector2D p_i = p[i+myLb]; // Accumulate acceleration on antiproton from magnetic field. temp.assign (v_i) .mul (QP_B) .rotate270(); a_i.add (temp); // Update antiproton's position and velocity. temp.assign (v_i); p_i.add (temp.mul (dt)); temp.assign (a_i); p_i.add (temp.mul (one_half_dt_sqr)); temp.assign (a_i); v_i.add (temp.mul (dt)); // Clear antiproton's acceleration for the next step. a_i.clear(); } } /** * Compute the total momentum for this process's slice of the antiprotons. * The answer is stored in totalMV. */ private static void computeTotalMomentum() { totalMV.clear(); for (int i = 0; i < myLen; ++ i) { totalMV.add (v[i]); } } /** * Print a usage message and exit. */ private static void usage() { System.err.println ("Usage: java -Dpj.np= edu.rit.clu.antimatter.AntiprotonClu

"); System.err.println (" = Number of parallel processes"); System.err.println (" = Random seed for initial antiproton positions"); System.err.println (" = Side of square for initial antiproton positions"); System.err.println ("
= Time step size"); System.err.println (" = Number of time steps between snapshots"); System.err.println (" = Number of snapshots"); System.err.println (" = Number of antiprotons"); System.err.println (" = Output file name"); System.exit (1); } }

Ads help maintain this website.