int lower = 0;
    int upper = list.size() - 1;

    while (lower <= upper) {
      int middle = (lower + upper) >>> 1;
      int c = comparator.compare(key, list.get(middle));
      if (c < 0) {
        upper = middle - 1;
      } else if (c > 0) {
        lower = middle + 1;
      } else {
        return lower
            + presentBehavior.resultIndex(

   * than {@code upper}.
   *
   * @throws IllegalArgumentException if {@code lower} is greater than <i>or equal to</i> {@code
   *     upper}
   * @throws ClassCastException if {@code lower} and {@code upper} are not mutually comparable
   * @since 14.0
   */
  public static <C extends Comparable<?>> Range<C> open(C lower, C upper) {

   * than {@code upper}.
   *
   * @throws IllegalArgumentException if {@code lower} is greater than <i>or equal to</i> {@code
   *     upper}
   * @throws ClassCastException if {@code lower} and {@code upper} are not mutually comparable
   * @since 14.0
   */
  public static <C extends Comparable<?>> Range<C> open(C lower, C upper) {

    int lower = 0;
    int upper = list.size() - 1;

    while (lower <= upper) {
      int middle = (lower + upper) >>> 1;
      int c = comparator.compare(key, list.get(middle));
      if (c < 0) {
        upper = middle - 1;
      } else if (c > 0) {
        lower = middle + 1;
      } else {
        return lower
            + presentBehavior.resultIndex(

  private static final String LOWER = "abcdefghijklmnopqrstuvwxyz";
  private static final String UPPER = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";

  public void testToLowerCase() {
    assertEquals(LOWER, Ascii.toLowerCase(UPPER));
    assertSame(LOWER, Ascii.toLowerCase(LOWER));
    assertEquals(IGNORED, Ascii.toLowerCase(IGNORED));

  }

  @CollectionSize.Require(SEVERAL)
  public void testLowerHole() {
    resetWithHole();
    assertEquals(null, navigableSet.lower(a));
    assertEquals(a, navigableSet.lower(b));
    assertEquals(a, navigableSet.lower(c));
  }

  @CollectionSize.Require(SEVERAL)
  public void testFloorHole() {
    resetWithHole();
    assertEquals(a, navigableSet.floor(a));

  }

  @CollectionSize.Require(SEVERAL)
  public void testLowerHole() {
    resetWithHole();
    assertEquals(null, navigableSet.lower(a));
    assertEquals(a, navigableSet.lower(b));
    assertEquals(a, navigableSet.lower(c));
  }

  @CollectionSize.Require(SEVERAL)
  public void testFloorHole() {
    resetWithHole();
    assertEquals(a, navigableSet.floor(a));

                    if (lower == null || upper == null || lower.compareTo(upper) != 0) {
                        restrictions.add(new Restriction(lower, lowerInclusive, upper, upperInclusive));
                    } else if (lowerInclusive && upperInclusive) {
                        restrictions.add(new Restriction(lower, lowerInclusive, upper, upperInclusive));
                    }

    }

    @Override
    public BaseEncoding lowerCase() {
      BaseEncoding result = lowerCase;
      if (result == null) {
        Alphabet lower = alphabet.lowerCase();
        result = lowerCase = (lower == alphabet) ? this : newInstance(lower, paddingChar);
      }
      return result;
    }

    @Override
    public BaseEncoding ignoreCase() {
      BaseEncoding result = ignoreCase;

            unauthorized_headers = {"WWW-Authenticate": f'Basic realm="{self.realm}"'}
        else:
            unauthorized_headers = {"WWW-Authenticate": "Basic"}
        if not authorization or scheme.lower() != "basic":
            if self.auto_error:
                raise HTTPException(
                    status_code=HTTP_401_UNAUTHORIZED,
                    detail="Not authenticated",