* equivalent {@link Long#compare} method instead.
   *
   * @param a the first {@code long} to compare
   * @param b the second {@code long} to compare
   * @return a negative value if {@code a} is less than {@code b}; a positive value if {@code a} is
   *     greater than {@code b}; or zero if they are equal
   */
  @InlineMe(replacement = "Long.compare(a, b)")
  public static int compare(long a, long b) {

import java.io.Serializable;
import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.NonNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/** An ordering that treats {@code null} as less than all other values. */
@GwtCompatible(serializable = true)
@ElementTypesAreNonnullByDefault
final class NullsFirstOrdering<T extends @Nullable Object> extends Ordering<@Nullable T>
    implements Serializable {

#                                            ---------------
constraints.AssertFalse.message = {item} must be false.
constraints.AssertTrue.message  = {item} must be true.
constraints.DecimalMax.message  = {item} must be less than ${inclusive == true ? 'or equal to ' : ''}{value}.
constraints.DecimalMin.message  = {item} must be greater than ${inclusive == true ? 'or equal to ' : ''}{value}.

#                                            ---------------
constraints.AssertFalse.message = {item} must be false.
constraints.AssertTrue.message  = {item} must be true.
constraints.DecimalMax.message  = {item} must be less than ${inclusive == true ? 'or equal to ' : ''}{value}.
constraints.DecimalMin.message  = {item} must be greater than ${inclusive == true ? 'or equal to ' : ''}{value}.

, `0.5` 🔜 ☑ 💲. ✋️ `0.0` ⚖️ `0` 🔜 🚫.

&amp; 🎏 <abbr title="less than"><code>lt</code></abbr>.

```Python hl_lines="11"
{!../../docs_src/path_params_numeric_validations/tutorial006.py!}
```

## 🌃

   * to the JDK until JDK 7.
   *
   * @param a the first {@code double} to compare
   * @param b the second {@code double} to compare
   * @return a negative value if {@code a} is less than {@code b}; a positive value if {@code a} is
   *     greater than {@code b}; or zero if they are equal
   */
  @InlineMe(replacement = "Double.compare(a, b)")
  public static int compare(double a, double b) {

 * amortized since some operations can trigger a hash table resize.
 *
 * <p>This implementation consumes significantly less memory than {@code java.util.LinkedHashSet} or
 * even {@code java.util.HashSet}, and places considerably less load on the garbage collector. Like
 * {@code java.util.LinkedHashSet}, it offers insertion-order iteration, with identical behavior.
 *

    }
    return tmp;
  }

  private static long random() {
    return RANDOM_SOURCE.nextLong();
  }

  // A random value that cannot be 0 and that is unsigned-less-than or equal
  // to the given dividend, so that we don't have half of our divisions being
  // trivial because the divisor is bigger than the dividend.

   * part of the smeared hash of the element not covered by the hashtable mask, whereas the low bits
   * are the "next" pointer (pointing to the next entry in the bucket chain), which will always be
   * less than or equal to the hashtable mask.
   *
   * <pre>
   * hash  = aaaaaaaa
   * mask  = 00000fff
   * next  = 00000bbb
   * entry = aaaaabbb
   * </pre>
   *

    return CollectCollectors.toImmutableSortedMap(
        comparator, keyFunction, valueFunction, mergeFunction);
  }

  /*
   * TODO(kevinb): Confirm that ImmutableSortedMap is faster to construct and
   * uses less memory than TreeMap; then say so in the class Javadoc.
   */
  private static final Comparator<?> NATURAL_ORDER = Ordering.natural();

  private static final ImmutableSortedMap<Comparable<?>, Object> NATURAL_EMPTY_MAP =