* {@link LongMath} respectively.
 *
 * @author Louis Wasserman
 * @since 11.0
 */
@GwtCompatible
public final class BigIntegerMath {
  /**
   * Returns the smallest power of two greater than or equal to {@code x}. This is equivalent to
   * {@code BigInteger.valueOf(2).pow(log2(x, CEILING))}.
   *
   * @throws IllegalArgumentException if {@code x <= 0}
   * @since 20.0
   */

        for (int type : types) {
            // Check if it's a power of 2 (has exactly one bit set)
            assertTrue(type > 0 && (type & (type - 1)) == 0, "Resource type " + type + " should be a power of 2");
        }
    }

  /**
   * Returns the smallest power of two greater than or equal to {@code x}. This is equivalent to
   * {@code checkedPow(2, log2(x, CEILING))}.
   *
   * @throws IllegalArgumentException if {@code x <= 0}
   * @throws ArithmeticException of the next-higher power of two is not representable as a {@code
   *     long}, i.e. when {@code x > 2^62}
   * @since 20.0
   */

            // Verify each is a power of 2
            for (int cap : capabilities) {
                assertTrue(isPowerOfTwo(cap), "Capability 0x" + Integer.toHexString(cap) + " should be a power of 2");
            }

            // Verify no overlapping bits
            for (int i = 0; i < capabilities.length; i++) {

@GwtIncompatible
abstract class Striped64 extends Number {
  /*
   * This class maintains a lazily-initialized table of atomically
   * updated variables, plus an extra "base" field. The table size
   * is a power of two. Indexing uses masked per-thread hash codes.
   * Nearly all declarations in this class are package-private,
   * accessed directly by subclasses.
   *
   * Table entries are of class Cell; a variant of AtomicLong padded

  }

  public void testCountOverflow_doesNotThrow() {
    PairedStatsAccumulator accumulator = new PairedStatsAccumulator();
    accumulator.add(ONE_VALUE, OTHER_ONE_VALUE);
    for (int power = 1; power < Long.SIZE - 1; power++) {
      accumulator.addAll(accumulator.snapshot());
    }
    // Should overflow without throwing.
    accumulator.addAll(accumulator.snapshot());
    assertThat(accumulator.count()).isLessThan(0L);

        }

        @Test
        @DisplayName("Verify filter flags are power of 2 for bitwise operations")
        void testFilterFlagsArePowerOfTwo() {
            // Verify each flag is a power of 2 (except FILE_NOTIFY_CHANGE_NAME which is a combination)
            assertTrue(isPowerOfTwo(FileNotifyInformation.FILE_NOTIFY_CHANGE_FILE_NAME));

            // File access constants should fit in lower 16 bits (0x0000FFFF)
            assertTrue(ACE.FILE_READ_DATA <= 0x0000FFFF, "FILE_READ_DATA should fit in lower 16 bits");
            assertTrue(ACE.FILE_WRITE_DATA <= 0x0000FFFF, "FILE_WRITE_DATA should fit in lower 16 bits");
            assertTrue(ACE.FILE_WRITE_ATTRIBUTES <= 0x0000FFFF, "FILE_WRITE_ATTRIBUTES should fit in lower 16 bits");

  }

  public void testCountOverflow_doesNotThrow() {
    StatsAccumulator accumulator = new StatsAccumulator();
    accumulator.add(ONE_VALUE);
    for (int power = 1; power < Long.SIZE - 1; power++) {
      accumulator.addAll(accumulator.snapshot());
    }
    // Should overflow without throwing.
    accumulator.addAll(accumulator.snapshot());
    assertThat(accumulator.count()).isLessThan(0L);

    SetBuilderImpl<E> copy() {
      return this;
    }

    @Override
    ImmutableSet<E> build() {
      return ImmutableSet.of();
    }
  }

  // We use power-of-2 tables, and this is the highest int that's a power of 2
  static final int MAX_TABLE_SIZE = Ints.MAX_POWER_OF_TWO;

  // Represents how tightly we can pack things, as a maximum.
  private static final double DESIRED_LOAD_FACTOR = 0.7;