*/

    if (approxCmp > 0) {
      /*
       * The code is written so that even completely incorrect approximations will still yield the
       * correct answer eventually, but in practice this branch should almost never be entered, and
       * even then the loop should not run more than once.
       */
      do {
        approxLog10--;
        approxPow = approxPow.divide(BigInteger.TEN);
        approxCmp = approxPow.compareTo(x);

import java.util.Map.Entry;
import java.util.function.Function;
import java.util.stream.Collector;
import java.util.stream.Stream;
import org.jspecify.annotations.Nullable;

/**
 * A {@link ListMultimap} whose contents will never change, with many other important properties
 * detailed at {@link ImmutableCollection}.
 *
 * <p>See the Guava User Guide article on <a href=

		res.buckets[i] = bucket[K, V]{entries: make(map[K]*Entry[K, V])}
	}

	// enable deleteExpired() running in separate goroutine for cache with non-zero TTL
	//
	// Important: done channel is never closed, so deleteExpired() goroutine will never exit,
	// it's decided to add functionality to close it in the version later than v2.
	if res.ttl != noEvictionTTL {
		go func(done <-chan struct{}) {
			ticker := time.NewTicker(res.ttl / numBuckets)

import java.util.Map.Entry;
import java.util.Set;
import java.util.Spliterator;
import java.util.function.BiConsumer;
import org.jspecify.annotations.Nullable;

/**
 * A {@link Multimap} whose contents will never change, with many other important properties
 * detailed at {@link ImmutableCollection}.
 *
 * <p><b>Warning:</b> avoid <i>direct</i> usage of {@link ImmutableMultimap} as a type (as with

		return x2.UnmarshalMsg(bts)
	case xlHeaderVersion:
		return x.UnmarshalMsg(bts)
	}
	return bts, fmt.Errorf("unknown xlHeaderVersion: %d", v)
}

// unmarshalV1 decodes version 1, never released.
func (x *xlMetaV2VersionHeader) unmarshalV1(bts []byte) (o []byte, err error) {
	var zb0001 uint32
	zb0001, bts, err = msgp.ReadArrayHeaderBytes(bts)
	if err != nil {
		err = msgp.WrapError(err)
		return
	}

public interface DependencyResolverResult extends Result<DependencyResolverRequest> {

    /**
     * Gets the exceptions that occurred while building the dependency graph.
     *
     * @return the exceptions that occurred, never {@code null}
     */
    @Nonnull
    List<Exception> getExceptions();

    /**
     * Gets the root node of the dependency graph.
     *
     * @return the root node of the dependency graph or {@code null} if none

    ImmutableList.Builder<TypeToken<? extends Throwable>> builder = ImmutableList.builder();
    for (Type type : getGenericExceptionTypes()) {
      // getGenericExceptionTypes() will never return a type that's not exception
      @SuppressWarnings("unchecked")
      TypeToken<? extends Throwable> exceptionType =
          (TypeToken<? extends Throwable>) TypeToken.of(type);
      builder.add(exceptionType);

     * to resolve SIDs using a cache and cache the results of any SIDs that
     * required resolving with the authority. SID cache entries are currently not
     * expired because under normal circumstances SID information never changes.
     *
     * @param tc
     *            context to use
     * @param authorityServerName
     *            The hostname of the server that should be queried. For maximum efficiency this should be the hostname

      if (request.isHttps && cacheResponse.handshake == null) {
        return CacheStrategy(request, null)
      }

      // If this response shouldn't have been stored, it should never be used as a response source.
      // This check should be redundant as long as the persistence store is well-behaved and the
      // rules are constant.
      if (!isCacheable(cacheResponse, request)) {

{* ../../docs_src/openapi_callbacks/tutorial001.py hl[16:18,21:22,28:32] *}

There are 2 main differences from a normal *path operation*:

* It doesn't need to have any actual code, because your app will never call this code. It's only used to document the *external API*. So, the function could just have `pass`.