* values, see {@link com.google.common.primitives.Longs}.
 *
 * @author Louis Wasserman
 * @since 11.0
 */
@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);

  /**

import com.google.common.base.Stopwatch;
import com.google.common.collect.ImmutableSet;
import com.google.common.hash.BloomFilterStrategies.LockFreeBitArray;
import com.google.common.math.LongMath;
import com.google.common.primitives.Ints;
import com.google.common.testing.EqualsTester;
import com.google.common.testing.NullPointerTester;
import com.google.common.testing.SerializableTester;

      // non-negative int, we can do long-arithmetic on index * (dataset.length - 1) / scale to get
      // a rounded ratio and a remainder which can be expressed as ints, without risk of overflow:
      int quotient = (int) LongMath.divide(numerator, scale, RoundingMode.DOWN);
      int remainder = (int) (numerator - (long) quotient * scale);
      selectInPlace(quotient, dataset, 0, dataset.length - 1);
      if (remainder == 0) {

    for (int i = 0; i < 100000; i++) {
      assertEquals(LongMath.isPrime(i), IntMath.isPrime(i));
    }

    // Then check 1000 deterministic pseudo-random int values.
    Random rand = new Random(1);
    for (int i = 0; i < 1000; i++) {
      int n = rand.nextInt(Integer.MAX_VALUE);
      assertEquals(LongMath.isPrime(n), IntMath.isPrime(n));
    }
  }

import static java.lang.Math.min;
import static java.util.concurrent.TimeUnit.SECONDS;

import com.google.common.annotations.GwtIncompatible;
import com.google.common.annotations.J2ktIncompatible;
import com.google.common.math.LongMath;
import java.util.concurrent.TimeUnit;

@J2ktIncompatible
@GwtIncompatible
@ElementTypesAreNonnullByDefault
abstract class SmoothRateLimiter extends RateLimiter {
  /*

 * the License.
 */

package com.google.common.cache;

import static com.google.common.base.Preconditions.checkArgument;
import static com.google.common.math.LongMath.saturatedAdd;
import static com.google.common.math.LongMath.saturatedSubtract;

import com.google.common.annotations.GwtCompatible;
import com.google.common.base.MoreObjects;
import com.google.common.base.Objects;
import java.util.concurrent.Callable;

 * the License.
 */

package com.google.common.cache;

import static com.google.common.base.Preconditions.checkArgument;
import static com.google.common.math.LongMath.saturatedAdd;
import static com.google.common.math.LongMath.saturatedSubtract;

import com.google.common.annotations.GwtCompatible;
import com.google.common.base.MoreObjects;
import com.google.common.base.Objects;
import java.util.concurrent.Callable;

import junit.framework.TestCase;

/**
 * Tests for LongMath.
 *
 * @author Louis Wasserman
 */
@GwtCompatible(emulated = true)
public class LongMathTest extends TestCase {
  @SuppressWarnings("ConstantOverflow")
  public void testMaxSignedPowerOfTwo() {
    assertTrue(LongMath.isPowerOfTwo(LongMath.MAX_SIGNED_POWER_OF_TWO));
    assertFalse(LongMath.isPowerOfTwo(LongMath.MAX_SIGNED_POWER_OF_TWO * 2));
  }

   * factored into smaller positive integers).
   *
   * <p>To test larger numbers, use {@link LongMath#isPrime} or {@link BigInteger#isProbablePrime}.
   *
   * @throws IllegalArgumentException if {@code n} is negative
   * @since 20.0
   */
  @GwtIncompatible // TODO
  public static boolean isPrime(int n) {
    return LongMath.isPrime(n);
  }

  private IntMath() {}

import com.google.common.base.Stopwatch;
import com.google.common.collect.ImmutableSet;
import com.google.common.hash.BloomFilterStrategies.LockFreeBitArray;
import com.google.common.math.LongMath;
import com.google.common.primitives.Ints;
import com.google.common.testing.EqualsTester;
import com.google.common.testing.NullPointerTester;
import com.google.common.testing.SerializableTester;