@GwtCompatible(emulated = true)
@ElementTypesAreNonnullByDefault
public final class IntMath {
  // NOTE: Whenever both tests are cheap and functional, it's faster to use &, | instead of &&, ||

  @VisibleForTesting static final int MAX_SIGNED_POWER_OF_TWO = 1 << (Integer.SIZE - 2);

  /**
   * Returns the smallest power of two greater than or equal to {@code x}. This is equivalent to
   * {@code checkedPow(2, log2(x, CEILING))}.
   *

 * signed versions of methods for which signedness is an issue.
 *
 * <p>In addition, this class provides several static methods for converting an {@code int} to a
 * {@code String} and a {@code String} to an {@code int} that treat the {@code int} as an unsigned
 * number.
 *
 * <p>Users of these utilities must be <i>extremely careful</i> not to mix up signed and unsigned

/**
 * Static utility methods pertaining to {@code byte} primitives, that are not already found in
 * either {@link Byte} or {@link Arrays}, <i>and interpret bytes as neither signed nor unsigned</i>.
 * The methods which specifically treat bytes as signed or unsigned are found in {@link SignedBytes}
 * and {@link UnsignedBytes}.
 *
 * <p>See the Guava User Guide article on <a

   * @return the greatest value less than {@code value}, or {@code null} if {@code value} is {@code
   *     minValue()}
   */
  @CheckForNull
  public abstract C previous(C value);

  /**
   * Returns a signed value indicating how many nested invocations of {@link #next} (if positive) or
   * {@link #previous} (if negative) are needed to reach {@code end} starting from {@code start}.

 * <i>unsigned</i> (that is, any negative value {@code b} is treated as the positive value {@code
 * 256 + b}). The corresponding methods that treat the values as signed are found in {@link
 * SignedBytes}, and the methods for which signedness is not an issue are in {@link Bytes}.
 *
 * <p>See the Guava User Guide article on <a

    if (tableSize <= BYTE_MAX_SIZE) {
      /*
       * Use 8 bits per entry. The value is unsigned to allow use up to a size of 2^8.
       *
       * The absent indicator of -1 signed becomes 2^8 - 1 unsigned, which reduces the actual max
       * size to 2^8 - 1. However, due to a load factor < 1 the limit is never approached.
       */
      byte[] hashTable = new byte[tableSize];

@GwtCompatible(emulated = true)
@ElementTypesAreNonnullByDefault
public final class LongMath {
  // NOTE: Whenever both tests are cheap and functional, it's faster to use &, | instead of &&, ||

  @VisibleForTesting static final long MAX_SIGNED_POWER_OF_TWO = 1L << (Long.SIZE - 2);

  /**
   * Returns the smallest power of two greater than or equal to {@code x}. This is equivalent to
   * {@code checkedPow(2, log2(x, CEILING))}.
   *

   * @return the greatest value less than {@code value}, or {@code null} if {@code value} is {@code
   *     minValue()}
   */
  @CheckForNull
  public abstract C previous(C value);

  /**
   * Returns a signed value indicating how many nested invocations of {@link #next} (if positive) or
   * {@link #previous} (if negative) are needed to reach {@code end} starting from {@code start}.

 */
@GwtCompatible(emulated = true)
public class IntMathTest extends TestCase {
  public void testMaxSignedPowerOfTwo() {
    assertTrue(IntMath.isPowerOfTwo(IntMath.MAX_SIGNED_POWER_OF_TWO));

    // Extra work required to make GWT happy.
    long value = IntMath.MAX_SIGNED_POWER_OF_TWO * 2L;
    assertFalse(IntMath.isPowerOfTwo((int) value));
  }

  public void testCeilingPowerOfTwo() {
    for (int x : POSITIVE_INTEGER_CANDIDATES) {

    };
    int[] bases = {2, 5, 7, 8, 10, 16};
    for (int base : bases) {
      for (String x : tests) {
        BigInteger xValue = new BigInteger(x, 16);
        long xLong = xValue.longValue(); // signed
        assertThat(UnsignedLongs.toString(xLong, base)).isEqualTo(xValue.toString(base));
      }
    }
  }

  public void testJoin() {
    assertThat(UnsignedLongs.join(",")).isEmpty();