//******************************************************************************
//
// File:    AntiprotonAni.java
// Package: edu.rit.clu.antimatter
// Unit:    Class edu.rit.clu.antimatter.AntiprotonAni
//
// This Java source file is copyright (C) 2006 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.util.Random;

import edu.rit.vector.Vector2D;

import javax.swing.JFrame;

/**
 * Class AntiprotonAni is a sequential program that calculates the positions of
 * the antiprotons as a function of time and displays an animation on the
 * screen. 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.AntiprotonAni seed R * dt steps N *

* 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. * Displays a GUI showing the antiprotons' positions in the square from (0,0) to * (R,R). The total momentum of all the antiprotons is also shown. *
  5. * Performs steps time steps and updates the GUI. Each time step is * dt. *
  6. * Repeats until the GUI is closed or the program is externally terminated. *
*

* The GUI window looks like this: *

*

* *
* * @author Alan Kaminsky * @version 04-Feb-2008 */ public class AntiprotonAni { // Prevent construction. private AntiprotonAni() { } // Hidden constants. // Charge on an antiproton. static final double QP = 3.0; // Magnetic field strength. static final double B = 3.0; // Hidden variables. // Command line arguments. static long seed; static double R; static double dt; static int steps; static int N; // Acceleration, velocity, and position (x,y) arrays. static Vector2D[] a; static Vector2D[] v; static Vector2D[] p; // Total momentum. static Vector2D totalMV; // Main program. /** * Main program. */ public static void main (String[] args) throws Exception { // Parse command line arguments. if (args.length != 5) usage(); seed = Long.parseLong (args[0]); R = Double.parseDouble (args[1]); dt = Double.parseDouble (args[2]); steps = Integer.parseInt (args[3]); N = Integer.parseInt (args[4]); double onehalfdtsqr = 0.5 * dt * dt; double QP_QP = QP * QP; double QP_B = QP * B; Vector2D temp = new Vector2D(); // Create pseudorandom number generator. Random prng = Random.getInstance (seed); // Initialize acceleration, velocity, and position (x,y) 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); } totalMV = new Vector2D(); // Create GUI. TrapFrame frame = new TrapFrame ("AntiprotonAni", p, R); TrapPanel panel = frame.getTrapPanel(); frame.setDefaultCloseOperation (JFrame.EXIT_ON_CLOSE); frame.setVisible (true); // Do time steps forever. for (;;) { // Compute total momentum. totalMV.clear(); for (int i = 0; i < N; ++ i) { totalMV.add (v[i]); } // Update display. frame.setTotalMomentum (totalMV.mag()); panel.step(); // Advance time by steps. for (int t = 0; t < steps; ++ t) { // 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); } } // 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 force 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 (onehalfdtsqr)); temp.assign (a_i); v_i.add (temp.mul (dt)); // Clear antiproton's acceleration for the next step. a_i.clear(); } } } } // Hidden operations. /** * Print a usage message and exit. */ private static void usage() { System.err.println ("Usage: java edu.rit.clu.antimatter.AntiprotonAni
"); 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 antiprotons"); System.exit (1); } }

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