This is a copy of the Starlette _DefaultLifespan class that was removed
    in Starlette. FastAPI keeps it to maintain backward compatibility with
    on_startup and on_shutdown event handlers.

    Ref: https://github.com/Kludex/starlette/pull/3117
    """

    def __init__(self, router: "APIRouter") -> None:
        self._router = router

    async def __aenter__(self) -> None:

  /**
   * A predicate that matches classes with an underscore in the class name. This can be used with
   * {@link #ignoreClasses} to exclude generated classes, such as the {@code AutoValue_Foo} classes
   * generated by <a href="https://github.com/google/auto/tree/master/value">AutoValue</a>.
   *
   * @since 19.0
   */
  public static final Predicate<Class<?>> UNDERSCORE_IN_NAME =
      (Class<?> c) -> c.getSimpleName().contains("_");

/**
 * Static utility methods pertaining to {@code double} primitives, that are not already found in
 * either {@link Double} or {@link Arrays}.
 *
 * <p>See the Guava User Guide article on <a
 * href="https://github.com/google/guava/wiki/PrimitivesExplained">primitive utilities</a>.
 *
 * @author Kevin Bourrillion
 * @since 1.0
 */
@GwtCompatible
public final class Doubles extends DoublesMethodsForWeb {

 i({valid:!1,message:"Connection failed with status: "+a.statusText},f),!1},success:function(a){i(a,f)}})};a.formUtils.addAsyncValidator({name:"server",validatorFunction:function(a,b,c,d,e,g){var h=c.valAttr("url")||d.backendUrl||document.location.href;g.addClass("validating-server-side"),c.addClass("validating-server-side"),f(h,c,b,d,function(b){g.removeClass("validating-server-side"),c.removeClass("validating-server-side"),b.message&&c.attr(d.validationErrorMsgAttribute,b.message),a(b.valid)})...

   *
   * <p><b>Note:</b> For most string-formatting needs, use {@link String#format String.format},
   * {@link java.io.PrintWriter#format PrintWriter.format}, and related methods. These support the
   * full range of <a
   * href="https://docs.oracle.com/en/java/javase/25/docs/api/java.base/java/util/Formatter.html#syntax">format
   * specifiers</a>, and alert you to usage errors by throwing {@link
   * java.util.IllegalFormatException}.
   *

### Performance JSON { #json-performance }

En bref, si vous voulez la performance maximale, utilisez un [Modèle de réponse](../tutorial/response-model.md) et ne déclarez pas de `response_class` dans le décorateur de *chemin d'accès*.

        if (obj == null) {
            enc_ndr_long(0);
            return;
        }
        switch (type) {
        case 1: /* unique */
        case 3: /* ref */
            enc_ndr_long(System.identityHashCode(obj));
            return;
        case 2: /* ptr */
            enc_ndr_long(getDceReferent(obj));
        }
    }

    @Override

   *
   * <p><b>Note:</b> For most string-formatting needs, use {@link String#format String.format},
   * {@link java.io.PrintWriter#format PrintWriter.format}, and related methods. These support the
   * full range of <a
   * href="https://docs.oracle.com/en/java/javase/25/docs/api/java.base/java/util/Formatter.html#syntax">format
   * specifiers</a>, and alert you to usage errors by throwing {@link
   * java.util.IllegalFormatException}.
   *

   * representation to this hash code.
   *
   * <p><b>Security note:</b> this method uses a constant-time (not short-circuiting) implementation
   * to protect against <a href="http://en.wikipedia.org/wiki/Timing_attack">timing attacks</a>.
   */
  @Override
  public final boolean equals(@Nullable Object object) {
    if (object instanceof HashCode) {
      HashCode that = (HashCode) object;

import org.jspecify.annotations.Nullable;

/**
 * Helper functions that operate on any {@code Object}, and are not already provided in {@link
 * Objects}.
 *
 * <p>See the Guava User Guide on <a
 * href="https://github.com/google/guava/wiki/CommonObjectUtilitiesExplained">writing {@code Object}
 * methods with {@code MoreObjects}</a>.
 *
 * @author Laurence Gonsalves
 * @since 18.0 (since 2.0 as {@code Objects})
 */