BigInteger.valueOf(Long.MAX_VALUE)
          .multiply(BigInteger.valueOf(3L))
          .divide(BigInteger.valueOf(4L))
          .doubleValue();
  static final double LARGE_LONG_VALUES_POPULATION_VARIANCE =
      BigInteger.valueOf(Long.MAX_VALUE)
          .multiply(BigInteger.valueOf(Long.MAX_VALUE))
          .divide(BigInteger.valueOf(16L))
          .doubleValue();

  /**

    assertThrows(
        UnsupportedOperationException.class,
        () -> map.put(TypeToken.of(Integer.class), Integer.valueOf(5)));
  }

  public void testPutAllThrows() {
    assertThrows(
        UnsupportedOperationException.class,
        () -> map.putAll(ImmutableMap.of(TypeToken.of(Integer.class), Integer.valueOf(5))));
  }

  public void testEntrySetMutationThrows() {
    map.putInstance(String.class, "test");

      CountingRemovalListener<String, Integer> removalListener) {

    for (int i = 0; i < 10; i++) {
      assertEquals(Integer.valueOf(VALUE_PREFIX + i), cache.getUnchecked(KEY_PREFIX + i));
    }

    for (int i = 0; i < 10; i++) {
      loader.reset();
      assertEquals(Integer.valueOf(VALUE_PREFIX + i), cache.getUnchecked(KEY_PREFIX + i));
      assertFalse("Creator should not have been called @#" + i, loader.wasCalled());
    }

    new RoundToDoubleTester(BigDecimal.valueOf((-1L << 54) - 4))
        .setExpectation(-Math.pow(2, 54) - 4, values())
        .test();
  }

  public void testRoundToDouble_minDouble() {
    BigDecimal minDoubleAsBD = new BigDecimal(-Double.MAX_VALUE);
    new RoundToDoubleTester(minDoubleAsBD).setExpectation(-Double.MAX_VALUE, values()).test();
  }

  /**
   * Returns a {@code MapJoiner} using the given key-value separator, and the same configuration as
   * this {@code Joiner} otherwise.
   *
   * @since 20.0
   */
  public MapJoiner withKeyValueSeparator(char keyValueSeparator) {
    return withKeyValueSeparator(String.valueOf(keyValueSeparator));
  }

  /**
   * Returns a {@code MapJoiner} using the given key-value separator, and the same configuration as

  /** Previous version of BigIntegerMath.factorial, kept for timing purposes. */
  private static BigInteger oldSlowFactorial(int n) {
    if (n <= 20) {
      return BigInteger.valueOf(LongMath.factorial(n));
    } else {
      int k = 20;
      return BigInteger.valueOf(LongMath.factorial(k)).multiply(oldSlowFactorial(k, n));
    }
  }

  /** Returns the product of {@code n1} exclusive through {@code n2} inclusive. */

    assertEquals(Integer.valueOf(3), cache.getUnchecked(2));
    expectedReloads++;
    assertEquals(expectedLoads, loader.getLoadCount());
    assertEquals(expectedReloads, loader.getReloadCount());

    ticker.advance(1, MILLISECONDS);
    assertEquals(Integer.valueOf(1), cache.getUnchecked(0));
    assertEquals(Integer.valueOf(-1), cache.getUnchecked(1));
    assertEquals(Integer.valueOf(3), cache.getUnchecked(2));

    assertEquals(Integer.valueOf(20), map.get(10));
    assertEquals(Integer.valueOf(0), map.get(20));
    assertEquals(Integer.valueOf(1), map.get(30));
    assertEquals(Integer.valueOf(2), map.get(54));
    assertEquals(Integer.valueOf(3), map.get(443));
    assertEquals(Integer.valueOf(4), map.get(1));
    assertEquals(Integer.valueOf(5), cache.get(6));

    assertFalse(Objects.equal("1", 1));
  }

  public void testHashCode() throws Exception {
    int h1 = Objects.hashCode(1, "two", 3.0);
    int h2 = Objects.hashCode(Integer.valueOf(1), new String("two"), Double.valueOf(3.0));
    // repeatable
    assertEquals(h1, h2);

    // These don't strictly need to be true, but they're nice properties.
    assertTrue(Objects.hashCode(1, 2, null) != Objects.hashCode(1, 2));

    new EqualsTester()
        .addEqualityGroup(Optional.absent(), reserialize(Optional.absent()))
        .addEqualityGroup(Optional.of(Long.valueOf(5)), reserialize(Optional.of(Long.valueOf(5))))
        .addEqualityGroup(Optional.of(Long.valueOf(42)), reserialize(Optional.of(Long.valueOf(42))))
        .testEquals();
  }

  public void testToString_absent() {
    assertEquals("Optional.absent()", Optional.absent().toString());