assertTrue(totalTime < 10_000_000L, "Null/empty password comparisons taking too long: " + totalTime + " ns");
        } finally {
            auth1.close();
            auth2.close();
            auth3.close();
        }
    }

    /**
     * Test that the constant-time comparison method is actually used internally.
     */
    @Test

 *
 * <p><b>Note:</b> by default, the returned map uses equality comparisons (the {@link Object#equals
 * equals} method) to determine equality for keys or values. However, if {@link #weakKeys} was
 * specified, the map uses identity ({@code ==}) comparisons instead for keys. Likewise, if {@link
 * #weakValues} was specified, the map uses identity comparisons for values.
 *

 *
 * <p><b>Note:</b> by default, the returned map uses equality comparisons (the {@link Object#equals
 * equals} method) to determine equality for keys or values. However, if {@link #weakKeys} was
 * specified, the map uses identity ({@code ==}) comparisons instead for keys. Likewise, if {@link
 * #weakValues} was specified, the map uses identity comparisons for values.
 *

# Alternatives, Inspiration and Comparisons { #alternatives-inspiration-and-comparisons }

What inspired **FastAPI**, how it compares to alternatives and what it learned from them.

## Intro { #intro }

**FastAPI** wouldn't exist if not for the previous work of others.

There have been many tools created before that have helped inspire its creation.

 *
 * <h3>Other Notes</h3>
 *
 * <p>As with {@code Map}, the behavior of a {@code Multimap} is not specified if key objects
 * already present in the multimap change in a manner that affects {@code equals} comparisons. Use
 * caution if mutable objects are used as keys in a {@code Multimap}.
 *
 * <p>All methods that modify the multimap are optional. The view collections returned by the

		// a less or equal b
	}
	if bytes.Compare(a, b) > 0 {
		// a greater b
	}
	if bytes.Compare(a, b) >= 0 {
		// a greater or equal b
	}

	// Prefer Equal to Compare for equality comparisons.
	if bytes.Equal(a, b) {
		// a equal b
	}
	if !bytes.Equal(a, b) {
		// a not equal b
	}
}

func ExampleCompare_search() {
	// Binary search to find a matching byte slice.

  private static final double MIN_LONG_AS_DOUBLE = -0x1p63;
  /*
   * We cannot store Long.MAX_VALUE as a double without losing precision. Instead, we store
   * Long.MAX_VALUE + 1 == -Long.MIN_VALUE, and then offset all comparisons by 1.
   */
  private static final double MAX_LONG_AS_DOUBLE_PLUS_ONE = 0x1p63;

  /**
   * Returns the {@code BigInteger} value that is equal to {@code x} rounded with the specified

      int permutations = 1;
      int n = 1;
      int r = 1;
      while (n < sortedInputList.size()) {
        int comparison = comparator.compare(sortedInputList.get(n - 1), sortedInputList.get(n));
        if (comparison < 0) {
          // We move to the next non-repeated element.
          permutations = IntMath.saturatedMultiply(permutations, IntMath.binomial(n, r));
          r = 0;

 *
 * <h3>Other Notes</h3>
 *
 * <p>As with {@code Map}, the behavior of a {@code Multimap} is not specified if key objects
 * already present in the multimap change in a manner that affects {@code equals} comparisons. Use
 * caution if mutable objects are used as keys in a {@code Multimap}.
 *
 * <p>All methods that modify the multimap are optional. The view collections returned by the

   * generated using this are byte-wise identical to those created using the C++ version, but note
   * that this uses unsigned integers (see {@link com.google.common.primitives.UnsignedInts}).
   * Comparisons between the two should take this into account.
   *
   * <p>Fingerprint2011() is a form of Murmur2 on strings up to 32 bytes and a form of CityHash for