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Ingy döt Net 2023-07-01 11:58:00 -04:00
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commit cb5bb5e222
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45
Task/Isqrt-integer-square-root-of-X/Java/isqrt-integer-square-root-of-x.java Normal file
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import java.math.BigInteger;
public class Isqrt {
private static BigInteger isqrt(BigInteger x) {
if (x.compareTo(BigInteger.ZERO) < 0) {
throw new IllegalArgumentException("Argument cannot be negative");
}
var q = BigInteger.ONE;
while (q.compareTo(x) <= 0) {
q = q.shiftLeft(2);
}
var z = x;
var r = BigInteger.ZERO;
while (q.compareTo(BigInteger.ONE) > 0) {
q = q.shiftRight(2);
var t = z;
t = t.subtract(r);
t = t.subtract(q);
r = r.shiftRight(1);
if (t.compareTo(BigInteger.ZERO) >= 0) {
z = t;
r = r.add(q);
}
}
return r;
}
public static void main(String[] args) {
System.out.println("The integer square root of integers from 0 to 65 are:");
for (int i = 0; i <= 65; i++) {
System.out.printf("%s ", isqrt(BigInteger.valueOf(i)));
}
System.out.println();
System.out.println("The integer square roots of powers of 7 from 7^1 up to 7^73 are:");
System.out.println("power 7 ^ power integer square root");
System.out.println("----- --------------------------------------------------------------------------------- -----------------------------------------");
var pow7 = BigInteger.valueOf(7);
var bi49 = BigInteger.valueOf(49);
for (int i = 1; i < 74; i += 2) {
System.out.printf("%2d %,84d %,41d\n", i, pow7, isqrt(pow7));
pow7 = pow7.multiply(bi49);
}
}
}