*       channel have their own file descriptors. Generally this only happens when both channels
   *       are files or sockets. This performs zero copies - the bytes never enter userspace.
   *   <li>Use mmap(2) or equivalent. Requires that either the input channel or the output channel
   *       have file descriptors. Bytes are copied from the file into a kernel buffer, then directly

      case CEILING:
      case UP:
        return logFloor + lessThanBranchFree(floorPow, x);
      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:
        // sqrt(10) is irrational, so log10(x)-logFloor is never exactly 0.5
        return logFloor + lessThanBranchFree(halfPowersOf10[logFloor], x);
    }
    throw new AssertionError();
  }

  @GwtIncompatible // TODO
  static int log10Floor(long x) {
    /*

          <name>updatePolicy</name>
          <version>1.0.0</version>
          <description>
            The frequency for downloading updates - can be "always", "daily" (default), "interval:XXX" (in minutes) or
            "never" (only if it doesn't exist locally).
          </description>
          <type>String</type>
        </field>
        <field>
          <name>checksumPolicy</name>
          <version>1.0.0</version>

                // already connecting
                this.thread.wait(timeout); /* wait for doConnect */
                st = this.state;
                switch (st) {
                case 1: /* doConnect never returned */
                    this.state = 6;
                    cleanupThread(timeout);
                    throw new ConnectionTimeoutException("Connection timeout");
                case 2:

     * close *estimate* of the actual number of bits set. It's not possible to do better than an
     * estimate without locking. Note that the number, if not exactly accurate, is *always*
     * underestimating, never overestimating.
     */
    long bitCount() {
      return bitCount.sum();
    }

    LockFreeBitArray copy() {
      return new LockFreeBitArray(toPlainArray(data));
    }

    /**

  }

  @Override
  Collection<V> createValues() {
    return new FilteredMultimapValues<>(this);
  }

  @Override
  Iterator<Entry<K, V>> entryIterator() {
    throw new AssertionError("should never be called");
  }

  @Override
  Map<K, Collection<V>> createAsMap() {
    return new AsMap();
  }

  @Override
  Set<K> createKeySet() {
    return asMap().keySet();
  }

        /* The Filter can only work with NTLMv1 as it uses a man-in-the-middle
         * techinque that NTLMv2 specifically thwarts. A real NTLM Filter would
         * need to do a NETLOGON RPC that JCIFS will likely never implement
         * because it requires a lot of extra crypto not used by CIFS.
         */
        Config.setProperty("jcifs.smb1.smb.lmCompatibility", "0");

            synchronized (thread) {
                thread.start();
                thread.wait(timeout); /* wait for doConnect */

                switch (state) {
                case 1: /* doConnect never returned */
                    state = 0;
                    thread = null;
                    throw new TransportException("Connection timeout");
                case 2:

      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`.