Function<? super T, ? extends K> keyFunction,
          Function<? super T, ? extends V> valueFunction) {
    return CollectCollectors.toImmutableBiMap(keyFunction, valueFunction);
  }

  // Casting to any type is safe because the set will never hold any elements.
  @SuppressWarnings("unchecked")
  public static <K, V> ImmutableBiMap<K, V> of() {
    return (ImmutableBiMap<K, V>) RegularImmutableBiMap.EMPTY;
  }

# Paramètres de chemin et validations numériques

De la même façon que vous pouvez déclarer plus de validations et de métadonnées pour les paramètres de requête avec `Query`, vous pouvez déclarer le même type de validations et de métadonnées pour les paramètres de chemin avec `Path`.

## Importer Path

Tout d'abord, importez `Path` de `fastapi`, et importez `Annotated` :

{* ../../docs_src/path_params_numeric_validations/tutorial001_an_py310.py hl[1,3] *}

When referring to the remote machine, it's common to call it **server**, but also **machine**, **VM** (virtual machine), **node**. Those all refer to some type of remote machine, normally running Linux, where you run programs.

## Install the Server Program

When you install FastAPI, it comes with a production server, Uvicorn, and you can start it with the `fastapi run` command.

			if j < test.offDisks {
				readers[j] = nil
			} else {
				staleDisks[j] = nil
			}
		}
		for j := 0; j < test.badDisks; j++ {
			switch r := readers[test.offDisks+j].(type) {
			case *streamingBitrotReader:
				r.disk = badDisk{nil}
			case *wholeBitrotReader:
				r.disk = badDisk{nil}
			}
		}
		for j := 0; j < test.badStaleDisks; j++ {
			staleDisks[j] = badDisk{nil}

    val proxySelector = RecordingProxySelector()
    val socketAddress = InetSocketAddress.createUnresolved("myproxy", 8008)
    proxySelector.proxies.add(Proxy(Proxy.Type.HTTP, socketAddress))

    // Define two host names for the DNS routing of fake proxy servers
    val proxyServer1 = InetAddress.getByAddress("proxyServer1", byteArrayOf(127, 0, 0, 2))

   * Interface[]) creates a RegularImmutableSortedSet backed by an array of that
   * type. Later, RegularImmutableSortedSet.toArray() calls System.arraycopy()
   * to copy from that array to the destination array. This would be fine, but
   * GWT has a bug: It refuses to copy from an E[] to an Object[] when E is an
   * interface type.
   */
  // TODO: test other collections for this problem
  public void testOf_gwtArraycopyBug() {

 * with the methods in {@link Futures} or, if necessary, to extend {@link AbstractFuture}.
 *
 * <p>Occasionally, an API will return a plain {@code Future} and it will be impossible to change
 * the return type. For this case, we provide a more expensive workaround in {@code
 * JdkFutureAdapters}. However, when possible, it is more efficient and reliable to create a {@code
 * ListenableFuture} directly.
 *
 * @author Sven Mawson

import com.google.common.collect.Iterables;
import com.google.common.primitives.Doubles;
import java.math.BigInteger;
import java.math.RoundingMode;

/**
 * Exhaustive input sets for every integral type.
 *
 * @author Louis Wasserman
 */
@GwtCompatible
public class MathTesting {
  static final ImmutableSet<RoundingMode> ALL_ROUNDING_MODES =
      ImmutableSet.copyOf(RoundingMode.values());

#
#   Important for running:
#
#   (1) You need a POSIX-compliant shell to run this script. If your /bin/sh is
#       noncompliant, but you have some other compliant shell such as ksh or
#       bash, then to run this script, type that shell name before the whole
#       command line, like:
#
#           ksh Gradle
#
#       Busybox and similar reduced shells will NOT work, because this script
#       requires all of these POSIX shell features:

 * with the methods in {@link Futures} or, if necessary, to extend {@link AbstractFuture}.
 *
 * <p>Occasionally, an API will return a plain {@code Future} and it will be impossible to change
 * the return type. For this case, we provide a more expensive workaround in {@code
 * JdkFutureAdapters}. However, when possible, it is more efficient and reliable to create a {@code
 * ListenableFuture} directly.
 *
 * @author Sven Mawson