import static java.lang.Math.max;

import com.google.common.annotations.GwtIncompatible;
import com.google.common.annotations.VisibleForTesting;
import java.math.BigInteger;

/**
 * Utilities for {@code double} primitives.
 *
 * @author Louis Wasserman
 */
@GwtIncompatible
final class DoubleUtils {
  private DoubleUtils() {}

  static double nextDown(double d) {
    return -Math.nextUp(-d);
  }

        while (b != 0) {
            c = b;
            b = a % b;
            a = c;
        }
        return u * v / a;
    }

    /**
     * Calculates a MAC (Message Authentication Code) for PAC data validation.
     * @param type the checksum type to use
     * @param keys map of available Kerberos keys indexed by encryption type
     * @param data the data to calculate the MAC for

import java.util.NavigableMap;
import java.util.NavigableSet;
import java.util.Set;
import java.util.SortedMap;
import java.util.TreeMap;
import org.jspecify.annotations.Nullable;

/**
 * A wrapper around {@code TreeMap} that aggressively checks to see if keys are mutually comparable.
 * This implementation passes the navigable map test suites.
 *
 * @author Louis Wasserman
 */
@GwtIncompatible

							<includes>
								<include>src/**/*.java</include>
							</includes>
						</licenseSet>
					</licenseSets>
				</configuration>
			</plugin>
			<plugin>
				<groupId>net.revelc.code.formatter</groupId>
				<artifactId>formatter-maven-plugin</artifactId>
				<version>2.26.0</version>
				<executions>
					<execution>
						<goals>
							<goal>format</goal>
						</goals>

import com.google.common.collect.testing.features.MapFeature;
import java.util.ArrayList;
import java.util.List;
import java.util.Map.Entry;
import org.junit.Ignore;

/**
 * A generic JUnit test which tests {@code replaceAll()} operations on a map. Can't be invoked
 * directly; please see {@link com.google.common.collect.testing.MapTestSuiteBuilder}.
 *
 * @author Louis Wasserman
 */
@GwtCompatible

    if (c == '!' || c == '?' || c == ':' || c == ',') {
      // '!' represents an interior node that represents a REGISTRY entry in the map.
      // '?' represents a leaf node, which represents a REGISTRY entry in map.
      // ':' represents an interior node that represents a private entry in the map
      // ',' represents a leaf node, which represents a private entry in the map.
      String domain = DIRECT_JOINER.join(stack);

import java.util.Map.Entry;
import java.util.concurrent.ConcurrentMap;
import org.jspecify.annotations.NullMarked;
import org.junit.Ignore;

/**
 * A generic JUnit test which tests {@code putIfAbsent} operations on a concurrent map. Can't be
 * invoked directly; please see {@link
 * com.google.common.collect.testing.ConcurrentMapTestSuiteBuilder}.
 *
 * @author Louis Wasserman
 */
@GwtCompatible

        return new ImmutableEnumSet<>(set);
    }
  }

  /*
   * Notes on EnumSet and <E extends Enum<E>>:
   *
   * This class isn't an arbitrary ForwardingImmutableSet because we need to
   * know that calling {@code clone()} during deserialization will return an
   * object that no one else has a reference to, allowing us to guarantee
   * immutability. Hence, we support only {@link EnumSet}.
   */

* [Overview of Docker Compose](https://docs.docker.com/compose/overview/)
* [MinIO Docker Quickstart Guide](https://docs.min.io/community/minio-object-store/operations/deployments/baremetal-deploy-minio-as-a-container.html)

/// tip

The fact that this is **standard Python** means that you will still get the **best possible developer experience** in your editor, with the tools you use to analyze and refactor your code, etc. ✨

And also that your code will be very compatible with many other Python tools and libraries. 🚀

///

## Type hints in **FastAPI** { #type-hints-in-fastapi }