new Foo("b", 1, null));
    for (Foo a : instances) {
      for (Foo b : instances) {
        int comparedUsingComparisonChain = signum(comparatorUsingComparisonChain.compare(a, b));
        int comparedUsingComparatorMethods = signum(comparatorUsingComparatorMethods.compare(a, b));
        assertWithMessage("%s vs %s", a, b)
            .that(comparedUsingComparatorMethods)

      throw new IllegalArgumentException(role + " (" + x + ") must be > 0");
    }
    return x;
  }

  @CanIgnoreReturnValue
  static BigInteger checkPositive(String role, BigInteger x) {
    if (x.signum() <= 0) {
      throw new IllegalArgumentException(role + " (" + x + ") must be > 0");
    }
    return x;
  }

  @CanIgnoreReturnValue
  static int checkNonNegative(String role, int x) {
    if (x < 0) {

   */
  static BigInteger randomPositiveBigInteger(int numBits) {
    BigInteger result;
    do {
      result = randomNonNegativeBigInteger(numBits);
    } while (result.signum() == 0);
    return result;
  }

  /**
   * Generates a number in [0, 2^numBits) with an exponential distribution. The floor of the log2 of

   */
  static BigInteger randomPositiveBigInteger(int numBits) {
    BigInteger result;
    do {
      result = randomNonNegativeBigInteger(numBits);
    } while (result.signum() == 0);
    return result;
  }

  /**
   * Generates a number in [0, 2^numBits) with an exponential distribution. The floor of the log2 of

    int exponent = absX.bitLength() - 1;
    // exponent == floor(log2(abs(x)))
    if (exponent < Long.SIZE - 1) {
      return x.longValue();
    } else if (exponent > MAX_EXPONENT) {
      return x.signum() * POSITIVE_INFINITY;
    }

    /*
     * We need the top SIGNIFICAND_BITS + 1 bits, including the "implicit" one bit. To make rounding

    @Override
    double roundToDoubleArbitrarily(BigDecimal bigDecimal) {
      return bigDecimal.doubleValue();
    }

    @Override
    int sign(BigDecimal bigDecimal) {
      return bigDecimal.signum();
    }

    @Override
    BigDecimal toX(double d, RoundingMode mode) {
      return new BigDecimal(d);
    }

    @Override
    BigDecimal minus(BigDecimal a, BigDecimal b) {
      return a.subtract(b);

    @Override
    double roundToDoubleArbitrarily(BigDecimal bigDecimal) {
      return bigDecimal.doubleValue();
    }

    @Override
    int sign(BigDecimal bigDecimal) {
      return bigDecimal.signum();
    }

    @Override
    BigDecimal toX(double d, RoundingMode mode) {
      return new BigDecimal(d);
    }

    @Override
    BigDecimal minus(BigDecimal a, BigDecimal b) {
      return a.subtract(b);

        int expected = DoubleMath.fuzzyEquals(a, b, tolerance) ? 0 : Double.compare(a, b);
        int actual = DoubleMath.fuzzyCompare(a, b, tolerance);
        assertEquals(Integer.signum(expected), Integer.signum(actual));
      }
    }
  }

  public void testFuzzyCompareBadTolerance() {
    for (double tolerance : BAD_TOLERANCE_CANDIDATES) {

        BigIntegerMath.SQRT2_PRECOMPUTED_BITS);
  }

  public void testIsPowerOfTwo() {
    for (BigInteger x : ALL_BIGINTEGER_CANDIDATES) {
      // Checks for a single bit set.
      boolean expected = x.signum() > 0 & x.and(x.subtract(ONE)).equals(ZERO);
      assertEquals(expected, BigIntegerMath.isPowerOfTwo(x));
    }
  }

  public void testLog2ZeroAlwaysThrows() {
    for (RoundingMode mode : ALL_ROUNDING_MODES) {

  @SuppressWarnings("InlineMeInliner")
  public void testCompare() {
    for (char x : VALUES) {
      for (char y : VALUES) {
        assertWithMessage(x + ", " + y)
            .that(Math.signum(Chars.compare(x, y)))
            .isEqualTo(Math.signum(Character.compare(x, y)));
      }
    }
  }

  public void testContains() {
    assertThat(Chars.contains(EMPTY, (char) 1)).isFalse();