File size: 633 Bytes
9438a57 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | import java.util.*;
/**
* Square Root
*
* Newton-Raphson method implementation.
*
*
* Input:
* x: A float
* epsilon: A float
*
* Precondition:
* x >= 1 and epsilon > 0
*
* Output:
* A float in the interval [sqrt(x) - epsilon, sqrt(x) + epsilon]
*
* Example:
* >>> sqrt(2, 0.01)
* 1.4166666666666665
*
* @author derricklin
*/
public class SQRT {
public static double sqrt(double x, double epsilon) {
double approx = x / 2d;
while (Math.abs(x-approx*approx) > epsilon) {
approx = 0.5d * (approx + x / approx);
}
return approx;
}
}
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