new BitSet(Integer.MAX_VALUE).size() reports a negative value:

import java.util.BitSet;

public class NegativeBitSetSize {
    public static void main(String[] args) {
        BitSet a;

        a = new BitSet(Integer.MAX_VALUE);
        System.out.println(a.size()); // -2147483648

        a = new BitSet(Integer.MAX_VALUE - 50);
        System.out.println(a.size()); // -2147483648

        a = new BitSet(Integer.MAX_VALUE - 62);
        System.out.println(a.size()); // -2147483648

        a = new BitSet(Integer.MAX_VALUE - 63);
        System.out.println(a.size()); // 2147483584
    }
}

On the test system:

$ java -version
openjdk version "11.0.14" 2022-01-18
OpenJDK Runtime Environment (build 11.0.14+9-Ubuntu-0ubuntu2.18.04)
OpenJDK 64-Bit Server VM (build 11.0.14+9-Ubuntu-0ubuntu2.18.04, mixed mode, sharing)

I couldn't find a bug report for this. Is this known or documented?