Numerische-Methoden/MonteCarlo-Java
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monteCarlo java

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Parric007
2024-04-17 11:48:55 +02:00
commit dc4583a6ce
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.idea/MonteCarlo_Java.iml generated Normal file
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### IntelliJ IDEA ###
out/
!**/src/main/**/out/
!**/src/test/**/out/
### Eclipse ###
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MonteCarlo_Java/.idea/.gitignore generated vendored Normal file
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MonteCarlo_Java/.idea/misc.xml generated Normal file
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MonteCarlo_Java/.idea/modules.xml generated Normal file
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MonteCarlo_Java/MonteCarlo_Java.iml Normal file
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MonteCarlo_Java/src/Main.java Normal file
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public class Main {
static Bounds bounds = new Bounds(new LinearBounds(0, 20), new LinearBounds(-100, 150000));
static double samples = 1_000_000;
static int threadCount = 16;
static class Point {
private final double x;
private final double y;
public Point(double _x, double _y) {
this.x = _x;
this.y = _y;
}
public double getX() {
return x;
}
public double getY() {
return y;
}
}
static class LinearBounds {
private final float lower;
private final float higher;
public LinearBounds(float _lower, float _higher) {
this.lower = _lower;
this.higher = _higher;
}
public double length() {
return Math.abs(higher-lower);
}
public double getRandomValue() {
return lower + (randomFloat() * this.length());
}
public float getLower() {
return lower;
}
public float getHigher() {
return higher;
}
}
static class Bounds {
private final LinearBounds x;
private final LinearBounds y;
public Bounds(LinearBounds _x, LinearBounds _y) {
this.x = _x;
this.y = _y;
}
public double area() {
return x.length() * y.length();
}
public Point getRandomPoint() {
return new Point(x.getRandomValue(), y.getRandomValue());
}
public LinearBounds getX() {
return x;
}
}
static double function(double x) {
return Math.pow(x,4)-4*Math.pow(x,3)+18*Math.pow(x,2)-12*x-69;
}
static double indefiniteIntegral(double x) {
return (1.0/5) * Math.pow(x, 5) - Math.pow(x, 4) + 6*Math.pow(x, 3) - 6 * Math.pow(x, 2) -69*x;
}
static boolean getIsInside(Point p) {
double y_0 = function(p.getX());
return Math.abs(y_0) > Math.abs(p.getY()) && y_0 * p.getY() >= 0;
}
static double getRealIntegral(LinearBounds bounds) {
return indefiniteIntegral(bounds.getHigher()) - indefiniteIntegral(bounds.getLower());
}
static double randomFloat() {
return Math.random();
}
public static void main(String[] args) throws InterruptedException {
double pointsInside = 0;
long startTime = System.nanoTime();
double real_value = getRealIntegral(bounds.getX());
for (int i = 0; i< threadCount; i++) {
Threading t = new Threading();
t.start();t.join();
pointsInside += t.getPoints();
}
double integral = (pointsInside/(samples*threadCount)) * bounds.area();
double error = Math.abs(real_value-integral);
System.out.println("The approximated Integral of the function is: " + String.format("%.2f", integral));
System.out.println("The real Integral of the function is: " + String.format("%.2f",real_value));
System.out.println("That's an error of " + String.format("%.8f", error) +" or " + String.format("%.8f",(error/real_value)*100) + "%");
System.out.println("And the whole thing took " + String.format("%.6f", (System.nanoTime()-startTime)/1000000000.0) + " Seconds for " + String.format("%,.0f", samples*threadCount) + " samples");
}
static class Threading extends Thread {
private double pointsInsideThread = 0;
@Override
public void run() {
//System.out.println("Thread " + Thread.currentThread());
Point toTestPoint;
for (int i = 0; i < samples; i++) {
toTestPoint = bounds.getRandomPoint();
if (getIsInside(toTestPoint)) {
pointsInsideThread++;
}
}
}
public double getPoints() {
return pointsInsideThread;
}
}
}