//******************************************************************************
//
// File:    AntiprotonSeq.java
// Package: edu.rit.clu.antimatter
// Unit:    Class edu.rit.clu.antimatter.AntiprotonSeq
//
// 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.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 AntiprotonSeq is a sequential 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 edu.rit.clu.antimatter.AntiprotonSeq seed R * dt steps snaps N outfile *

* 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 sequentially in a single processor. 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 09-Feb-2008 */ public class AntiprotonSeq { // Prevent construction. private AntiprotonSeq() { } // 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. // 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; // Acceleration, velocity, and position vector arrays. static Vector2D[] a; static Vector2D[] v; static Vector2D[] p; // Total momentum. static Vector2D totalMV = new Vector2D(); // Temporary storage. static Vector2D temp = new Vector2D(); // Main program. /** * Main program. */ public static void main (String[] args) throws Exception { Comm.init (args); // Start timing. long t1 = System.currentTimeMillis(); // 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; // Create pseudorandom number generator. Random prng = Random.getInstance (seed); // Initialize acceleration, velocity, and position vector arrays. a = new Vector2D [N]; v = new Vector2D [N]; p = new Vector2D [N]; for (int i = 0; i < N; ++ i) { a[i] = new Vector2D(); v[i] = new Vector2D(); p[i] = new Vector2D (prng.nextDouble()*R/2+R/4, prng.nextDouble()*R/2+R/4); } // Set up output file and write initial snapshot. AntiprotonFile out = new AntiprotonFile (seed, R, dt, steps, snaps+1, N, 0, N); AntiprotonFile.Writer writer = out.prepareToWrite (new BufferedOutputStream (new FileOutputStream (outfile))); writer.writeSnapshot (p, 0, 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(); } // Compute total momentum. computeTotalMomentum(); // Write snapshot. writer.writeSnapshot (p, 0, totalMV); } // Close output file. writer.close(); // Stop timing. long t3 = System.currentTimeMillis(); System.out.println ((t2-t1) + " msec pre"); System.out.println ((t3-t2) + " msec calc"); System.out.println ((t3-t1) + " msec total"); } // Hidden operations. /** * Compute 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 < N; ++ i) { Vector2D a_i = a[i]; Vector2D p_i = p[i]; for (int j = 0; j < i; ++ 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 = i+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. for (int i = 0; i < N; ++ i) { Vector2D a_i = a[i]; Vector2D v_i = v[i]; Vector2D p_i = p[i]; // 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 all the antiprotons. The answer is stored * in totalMV. */ private static void computeTotalMomentum() { totalMV.clear(); for (int i = 0; i < N; ++ i) { totalMV.add (v[i]); } } /** * Print a usage message and exit. */ private static void usage() { System.err.println ("Usage: java edu.rit.clu.antimatter.AntiprotonSeq

"); 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); } }

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