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GeezerVison is showing github.com — Java/Others/GuassLegendre.java at master · feiteng/Java

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GuassLegendre.java

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package Others;
import java.lang.Math;
/**
* Guass Legendre Algorithm
* ref https://en.wikipedia.org/wiki/Gauss–Legendre_algorithm
*
* @author AKS1996
*/
public class GuassLegendre {
public static void main(String[] args) {
for (int i = 1; i <= 3; ++i)
System.out.println(pi(i));
}
static double pi(int l) {
/*
* l: No of loops to run
*/
double a = 1, b = Math.pow(2, -0.5), t = 0.25, p = 1;
for (int i = 0; i < l; ++i) {
double temp[] = update(a, b, t, p);
a = temp[0];
b = temp[1];
t = temp[2];
p = temp[3];
}
return Math.pow(a + b, 2) / (4 * t);
}
static double[] update(double a, double b, double t, double p) {
double values[] = new double[4];
values[0] = (a + b) / 2;
values[1] = Math.sqrt(a * b);
values[2] = t - p * Math.pow(a - values[0], 2);
values[3] = 2 * p;
return values;
}
}
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