class FileTree {

  /**
   * Doesn't much matter, but this number comes from MIN_ELOOP_THRESHOLD <a
   * href="https://sourceware.org/git/gitweb.cgi?p=glibc.git;a=blob_plain;f=sysdeps/generic/eloop-threshold.h;hb=HEAD">
   * here</a>
   */
  private static final int MAX_SYMBOLIC_LINK_DEPTH = 40;

  private static final ImmutableList<Name> EMPTY_PATH_NAMES = ImmutableList.of(Name.SELF);

  /** Map of root names to root directories. */
  private final ImmutableSortedMap<Name, Directory> roots;

  /** Creates a new file tree with the given root directories. */
  FileTree(Map<Name, Directory> roots) {
    this.roots = ImmutableSortedMap.copyOf(roots, Name.canonicalOrdering());
  }

  /** Returns the names of the root directories in this tree. */
  public ImmutableSortedSet<Name> getRootDirectoryNames() {
    return roots.keySet();
  }

  /**
   * Gets the directory entry for the root with the given name or {@code null} if no such root
   * exists.
   */
  public @Nullable DirectoryEntry getRoot(Name name) {
    Directory dir = roots.get(name);
    return dir == null ? null : dir.entryInParent();
  }

  /** Returns the result of the file lookup for the given path. */
  public DirectoryEntry lookUp(
      File workingDirectory, JimfsPath path, Set<? super LinkOption> options) throws IOException {
    checkNotNull(path);
    checkNotNull(options);

    DirectoryEntry result = lookUp(workingDirectory, path, options, 0);
    if (result == null) {
      // an intermediate file in the path did not exist or was not a directory
      throw new NoSuchFileException(path.toString());
    }
    return result;
  }

  private @Nullable DirectoryEntry lookUp(
      File dir, JimfsPath path, Set<? super LinkOption> options, int linkDepth) throws IOException {<FILL_FUNCTION_BODY>}

  /**
   * Looks up the given names against the given base file. If the file is not a directory, the
   * lookup fails.
   */
  private @Nullable DirectoryEntry lookUp(
      File dir, Iterable<Name> names, Set<? super LinkOption> options, int linkDepth)
      throws IOException {
    Iterator<Name> nameIterator = names.iterator();
    Name name = nameIterator.next();
    while (nameIterator.hasNext()) {
      Directory directory = toDirectory(dir);
      if (directory == null) {
        return null;
      }

      DirectoryEntry entry = directory.get(name);
      if (entry == null) {
        return null;
      }

      File file = entry.file();
      if (file.isSymbolicLink()) {
        DirectoryEntry linkResult = followSymbolicLink(dir, (SymbolicLink) file, linkDepth);

        if (linkResult == null) {
          return null;
        }

        dir = linkResult.fileOrNull();
      } else {
        dir = file;
      }

      name = nameIterator.next();
    }

    return lookUpLast(dir, name, options, linkDepth);
  }

  /** Looks up the last element of a path. */
  private @Nullable DirectoryEntry lookUpLast(
      @Nullable File dir, Name name, Set<? super LinkOption> options, int linkDepth)
      throws IOException {
    Directory directory = toDirectory(dir);
    if (directory == null) {
      return null;
    }

    DirectoryEntry entry = directory.get(name);
    if (entry == null) {
      return new DirectoryEntry(directory, name, null);
    }

    File file = entry.file();
    if (!options.contains(LinkOption.NOFOLLOW_LINKS) && file.isSymbolicLink()) {
      return followSymbolicLink(dir, (SymbolicLink) file, linkDepth);
    }

    return getRealEntry(entry);
  }

  /**
   * Returns the directory entry located by the target path of the given symbolic link, resolved
   * relative to the given directory.
   */
  private @Nullable DirectoryEntry followSymbolicLink(File dir, SymbolicLink link, int linkDepth)
      throws IOException {
    if (linkDepth >= MAX_SYMBOLIC_LINK_DEPTH) {
      throw new IOException("too many levels of symbolic links");
    }

    return lookUp(dir, link.target(), Options.FOLLOW_LINKS, linkDepth + 1);
  }

  /**
   * Returns the entry for the file in its parent directory. This will be the given entry unless the
   * name for the entry is "." or "..", in which the directory linking to the file is not the file's
   * parent directory. In that case, we know the file must be a directory ("." and ".." can only
   * link to directories), so we can just get the entry in the directory's parent directory that
   * links to it. So, for example, if we have a directory "foo" that contains a directory "bar" and
   * we find an entry [bar -> "." -> bar], we instead return the entry for bar in its parent, [foo
   * -> "bar" -> bar].
   */
  private @Nullable DirectoryEntry getRealEntry(DirectoryEntry entry) {
    Name name = entry.name();

    if (name.equals(Name.SELF) || name.equals(Name.PARENT)) {
      Directory dir = toDirectory(entry.file());
      assert dir != null;
      return dir.entryInParent();
    } else {
      return entry;
    }
  }

  private @Nullable Directory toDirectory(@Nullable File file) {
    return file == null || !file.isDirectory() ? null : (Directory) file;
  }

  private static boolean isEmpty(ImmutableList<Name> names) {
    // the empty path (created by FileSystem.getPath("")), has no root and a single name, ""
    return names.isEmpty() || (names.size() == 1 && names.get(0).toString().isEmpty());
  }
}

    ImmutableList<Name> names = path.names();

    if (path.isAbsolute()) {
      // look up the root directory
      DirectoryEntry entry = getRoot(path.root());
      if (entry == null) {
        // root not found; always return null as no real parent directory exists
        // this prevents new roots from being created in file systems supporting multiple roots
        return null;
      } else if (names.isEmpty()) {
        // root found, no more names to look up
        return entry;
      } else {
        // root found, more names to look up; set dir to the root directory for the path
        dir = entry.file();
      }
    } else if (isEmpty(names)) {
      // set names to the canonical list of names for an empty path (singleton list of ".")
      names = EMPTY_PATH_NAMES;
    }

    return lookUp(dir, names, options, linkDepth);
  
<no_super_class>