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2021-09-17 09:47:40 +00:00
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commit 434320ed45
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Maths/PiNilakantha.java
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@ -2,45 +2,39 @@ package Maths;
public class PiNilakantha {
// Calculates Pi using Nilakantha's infinite series
// Method 2 in the following link explains the algorithm
//https://en.scratch-wiki.info/wiki/Calculating_Pi
// Calculates Pi using Nilakantha's infinite series
// Method 2 in the following link explains the algorithm
// https://en.scratch-wiki.info/wiki/Calculating_Pi
public static void main(String[] args) {
assert calculatePi(0) == 3.0;
assert calculatePi(10) > 3.0;
assert calculatePi(100) < 4.0;
public static void main(String[] args) {
assert calculatePi(0) == 3.0;
assert calculatePi(10) > 3.0;
assert calculatePi(100) < 4.0;
System.out.println(calculatePi(500));
}
System.out.println(calculatePi(500));
/**
* @param iterations number of times the infinite series gets repeated Pi get more accurate the
* higher the value of iterations is Values from 0 up to 500 are allowed since double
* precision is not sufficient for more than about 500 repetitions of this algorithm
* @return the pi value of the calculation with a precision of x iteration
*/
public static double calculatePi(int iterations) {
if (iterations < 0 || iterations > 500) {
throw new IllegalArgumentException("Please input Integer Number between 0 and 500");
}
double pi = 3;
int divCounter = 2;
/**
*
* @param iterations number of times the infinite series gets repeated
* Pi get more accurate the higher the value of iterations is
* Values from 0 up to 500 are allowed since double precision is not sufficient
* for more than about 500 repetitions of this algorithm
* @return the pi value of the calculation with a precision of x iteration
*/
public static double calculatePi(int iterations) {
if (iterations < 0 || iterations > 500) {
throw new IllegalArgumentException("Please input Integer Number between 0 and 500");
}
for (int i = 0; i < iterations; i++) {
double pi = 3;
int divCounter = 2;
if (i % 2 == 0) pi = pi + 4.0 / (divCounter * (divCounter + 1) * (divCounter + 2));
else pi = pi - 4.0 / (divCounter * (divCounter + 1) * (divCounter + 2));
for (int i = 0; i < iterations; i++) {
if (i % 2 == 0)
pi = pi + 4.0 / (divCounter * (divCounter + 1) * (divCounter + 2));
else
pi = pi - 4.0 / (divCounter * (divCounter + 1) * (divCounter + 2));
divCounter += 2;
}
return pi;
divCounter += 2;
}
return pi;
}
}