for (long x : NEGATIVE_LONG_CANDIDATES) {
      for (RoundingMode mode : ALL_ROUNDING_MODES) {
        assertThrows(IllegalArgumentException.class, () -> LongMath.log2(x, mode));
      }
    }
  }

  /* Relies on the correctness of BigIntegerMath.log2 for all modes except UNNECESSARY. */
  public void testLog2MatchesBigInteger() {
    for (long x : POSITIVE_LONG_CANDIDATES) {
      for (RoundingMode mode : ALL_SAFE_ROUNDING_MODES) {

    /**
     * Retrieve an array of <code>InetAddress</code> created from a property
     * value containing a <code>delim</code> separated list of host names and/or
     * ip addresses.
     *
     * @param props the properties to search in
     * @param key the property key to look up
     * @param delim the delimiter to use for splitting the property value
     * @param def the default value to return if key is not found

        return def;
    }

    /**
     * Retrieve an array of <code>InetAddress</code> created from a property
     * value containting a <code>delim</code> separated list of hostnames and/or
     * ipaddresses.
     *
     * @param key the property key to look up
     * @param delim the delimiter used to separate addresses in the property value
     * @param def the default array to return if the property is not found or cannot be parsed

     * Splits the string by the specified delimiter.
     *
     * @param str
     *            the string to split
     * @param delim
     *            the delimiter to use for splitting
     * @return an array of split strings
     */
    public static String[] split(final String str, final String delim) {
        if (isEmpty(str)) {
            return EMPTY_STRINGS;
        }
        final List<String> list = newArrayList();

 * #delegate()} method must be overridden to return the instance being decorated.
 *
 * <p>This class does <i>not</i> forward the {@code hashCode} and {@code equals} methods through to
 * the backing object, but relies on {@code Object}'s implementation. This is necessary to preserve
 * the symmetry of {@code equals}. Custom definitions of equality are usually based on an interface,

 *
 * <p>On Intel Core2 2.66, on 1000 bytes, fingerprint2011 takes 0.9 microseconds compared to
 * fingerprint at 4.0 microseconds and md5 at 4.5 microseconds.
 *
 * <p>Note to maintainers: This implementation relies on signed arithmetic being bit-wise equivalent
 * to unsigned arithmetic in all cases except:
 *
 * <ul>
 *   <li>comparisons (signed values can be negative)
 *   <li>division (avoided here)

    }

    /**
     * Fetch a private field value via reflection.  This helper keeps the
     * test code tidy and is used where unit‑testing logic relies on
     * internally stored data.
     */
    private static Object getPrivateField(Object target, String name) {
        try {
            java.lang.reflect.Field f = target.getClass().getDeclaredField(name);

...that we used to make our requests with the `TestClient`.

/// tip

Note that we're using async/await with the new `AsyncClient` - the request is asynchronous.

///

/// warning

 *
 * <p>On Intel Core2 2.66, on 1000 bytes, fingerprint2011 takes 0.9 microseconds compared to
 * fingerprint at 4.0 microseconds and md5 at 4.5 microseconds.
 *
 * <p>Note to maintainers: This implementation relies on signed arithmetic being bit-wise equivalent
 * to unsigned arithmetic in all cases except:
 *
 * <ul>
 *   <li>comparisons (signed values can be negative)
 *   <li>division (avoided here)

 *
 * <p>
 * The URL format is expected to be: {@code storage://bucketName/objectName}.
 * The bucket name and object name are extracted from the URL.
 * </p>
 *
 * <p>
 * The handler relies on environment variables for configuration:
 * </p>
 * <ul>
 *   <li>{@code STORAGE_ENDPOINT}: The endpoint URL of the MinIO service.</li>
 *   <li>{@code STORAGE_ACCESS_KEY}: The access key for authentication.</li>