Examples of java.util.Random.nextGaussian()

java.util.Random.nextGaussian()
een -1.0 and 1.0 v2=2 * nextDouble() - 1; // between -1.0 and 1.0 s=v1 * v1 + v2 * v2; } while (s >= 1 || s == 0); double multiplier = StrictMath.sqrt(-2 * StrictMath.log(s)/s); nextNextGaussian = v2 * multiplier; haveNextNextGaussian = true; return v1 * multiplier; } }} This uses the polar method of G. E. P. Box, M. E. Muller, and G. Marsaglia, as described by Donald E. Knuth in The Art of Computer Programming, Volume 3: Seminumerical Algorithms, section 3.4.1, subsection C, algorithm P. Note that it generates two independent values at the cost of only one call to {@code StrictMath.log}and one call to {@code StrictMath.sqrt}. @return the next pseudorandom, Gaussian ("normally") distributed{@code double} value with mean {@code 0.0} andstandard deviation {@code 1.0} from this random numbergenerator's sequence

{
  public static void main(String[] argv)
  {
    Random r = new Random();
    IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",40,-3,3);
    for (int i=0; i<10000; i++) h1.fill(r.nextGaussian());
    
    IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",40,-3,3,40,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    // Write the results as a PlotML files!

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    Random r = new Random();
    IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",40,-3,3);
    for (int i=0; i<10000; i++) h1.fill(r.nextGaussian());
    
    IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",40,-3,3,40,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    // Write the results as a PlotML files!
    writeAsXML(h1,"aida1.xml");
    writeAsXML(h2,"aida2.xml");

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    Random r = new Random();
    IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",40,-3,3);
    for (int i=0; i<10000; i++) h1.fill(r.nextGaussian());
    
    IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",40,-3,3,40,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    // Write the results as a PlotML files!
    writeAsXML(h1,"aida1.xml");
    writeAsXML(h2,"aida2.xml");

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  {
    double[] bounds = { -30,0,30, 1000 };
    Random r = new Random();
    IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",new VariableAxis(bounds));
    //IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",2,-3,3);
    for (int i=0; i<10000; i++) h1.fill(r.nextGaussian());
    
    IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",new VariableAxis(bounds),new VariableAxis(bounds));
    //IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",2,-3,3, 2,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());

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    //IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",2,-3,3);
    for (int i=0; i<10000; i++) h1.fill(r.nextGaussian());
    
    IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",new VariableAxis(bounds),new VariableAxis(bounds));
    //IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",2,-3,3, 2,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    //IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",new VariableAxis(bounds),new VariableAxis(bounds),new VariableAxis(bounds));
    IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",10, -2, +2,    5, -2, +2,    3, -2, +2);
    for (int i=0; i<10000; i++) h3.fill(r.nextGaussian(),r.nextGaussian(),r.nextGaussian());

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    //IHistogram1D h1 = new Histogram1D("AIDA 1D Histogram",2,-3,3);
    for (int i=0; i<10000; i++) h1.fill(r.nextGaussian());
    
    IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",new VariableAxis(bounds),new VariableAxis(bounds));
    //IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",2,-3,3, 2,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    //IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",new VariableAxis(bounds),new VariableAxis(bounds),new VariableAxis(bounds));
    IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",10, -2, +2,    5, -2, +2,    3, -2, +2);
    for (int i=0; i<10000; i++) h3.fill(r.nextGaussian(),r.nextGaussian(),r.nextGaussian());

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    //IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",2,-3,3, 2,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    //IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",new VariableAxis(bounds),new VariableAxis(bounds),new VariableAxis(bounds));
    IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",10, -2, +2,    5, -2, +2,    3, -2, +2);
    for (int i=0; i<10000; i++) h3.fill(r.nextGaussian(),r.nextGaussian(),r.nextGaussian());
    
    // Write the results as a PlotML files!
    writeAsXML(h1,"aida1.xml");
    writeAsXML(h2,"aida2.xml");
    writeAsXML(h3,"aida2.xml");

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    //IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",2,-3,3, 2,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    //IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",new VariableAxis(bounds),new VariableAxis(bounds),new VariableAxis(bounds));
    IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",10, -2, +2,    5, -2, +2,    3, -2, +2);
    for (int i=0; i<10000; i++) h3.fill(r.nextGaussian(),r.nextGaussian(),r.nextGaussian());
    
    // Write the results as a PlotML files!
    writeAsXML(h1,"aida1.xml");
    writeAsXML(h2,"aida2.xml");
    writeAsXML(h3,"aida2.xml");

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    //IHistogram2D h2 = new Histogram2D("AIDA 2D Histogram",2,-3,3, 2,-3,3);
    for (int i=0; i<10000; i++) h2.fill(r.nextGaussian(),r.nextGaussian());
    
    //IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",new VariableAxis(bounds),new VariableAxis(bounds),new VariableAxis(bounds));
    IHistogram3D h3 = new Histogram3D("AIDA 3D Histogram",10, -2, +2,    5, -2, +2,    3, -2, +2);
    for (int i=0; i<10000; i++) h3.fill(r.nextGaussian(),r.nextGaussian(),r.nextGaussian());
    
    // Write the results as a PlotML files!
    writeAsXML(h1,"aida1.xml");
    writeAsXML(h2,"aida2.xml");
    writeAsXML(h3,"aida2.xml");

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            private double right;
            private Random rand = new Random();
            
            @Override
            public void actuate(AbstractEnvironment2D<AbstractAgent2D<?>> env, AbstractAgent2D<?> agent) {
                this.left += rand.nextGaussian() / 10;
                this.right += rand.nextGaussian() / 10;
                
                this.left *= 0.998;
                this.right *= 0.998;

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