assertThat(graph.predecessors(N2)).containsExactly(N1);
    // Edge direction handled correctly
    assertThat(graph.predecessors(N1)).isEmpty();
  }

  @Test
  public void successors_oneEdge() {
    putEdge(N1, N2);
    assertThat(graph.successors(N1)).containsExactly(N2);
    // Edge direction handled correctly
    assertThat(graph.successors(N2)).isEmpty();
  }

  @Test

 * The tests verify that:
 * <ul>
 *   <li>encoding and decoding round‑trip correctly handle typical, zero,
 *       and extreme {@code long} values.</li>
 *   <li>encode/decode methods interact correctly with a mocked
 *       {@link NdrBuffer} so that the correct method is called with
 *       the correct argument.</li>
 *   <li>passing {@code null} throws {@link NullPointerException}.
 * </ul>
 *

   * primitive conversion from {@code int} to {@code float}, and correctly rounded.
   */
  @Override
  public float floatValue() {
    return longValue();
  }

  /**
   * Returns the value of this {@code UnsignedInteger} as a {@code double}, analogous to a widening
   * primitive conversion from {@code int} to {@code double}, and correctly rounded.
   */
  @Override
  public double doubleValue() {

You will see the automatic API docs for the sub-application, including only its own _path operations_, all under the correct sub-path prefix `/subapi`:

<img src="/img/tutorial/sub-applications/image02.png">

If you try interacting with any of the two user interfaces, they will work correctly, because the browser will be able to talk to each specific app or sub-app.

### Technical Details: `root_path` { #technical-details-root-path }

        Properties props = new Properties();
        config = new PropertyConfiguration(props);
    }

    @Test
    void testConstructor() {
        // Test constructor initializes all fields correctly
        trans2FindNext2 = new Trans2FindNext2(config, TEST_SID, TEST_RESUME_KEY, TEST_FILENAME, TEST_BATCH_COUNT, TEST_BATCH_SIZE);

        assertNotNull(trans2FindNext2);

            // Verify source key is copied correctly
            for (int i = 0; i < SOURCE_KEY_SIZE; i++) {
                assertEquals(sourceKey[i], buffer[startIndex + i], "Source key byte at position " + i + " doesn't match");
            }
        }

        @Test
        @DisplayName("Should encode chunk count correctly")
        void testEncodeChunkCount() {
            // Given

    class FlagConstantsTests {

        @Test
        @DisplayName("Should have correct shared lock flag value")
        void testSharedLockFlag() {
            assertEquals(0x1, Smb2Lock.SMB2_LOCKFLAG_SHARED_LOCK);
        }

        @Test
        @DisplayName("Should have correct exclusive lock flag value")
        void testExclusiveLockFlag() {

        // Wrap it in ServletRuntimeException
        ServletRuntimeException runtimeException = new ServletRuntimeException(servletException);

        // Verify that the cause is correctly set
        assertNotNull(runtimeException);
        assertEquals(servletException, runtimeException.getCause());

        // Verify that the message is preserved from the cause

{* ../../docs_src/advanced_middleware/tutorial001_py310.py hl[2,6] *}

## `TrustedHostMiddleware` { #trustedhostmiddleware }

Enforces that all incoming requests have a correctly set `Host` header, in order to guard against HTTP Host Header attacks.

{* ../../docs_src/advanced_middleware/tutorial002_py310.py hl[2,6:8] *}

The following arguments are supported:

    @Test
    @DisplayName("happy: constructor sets command correctly")
    void testConstructorSetsCommand() {
        SmbComClose close = new SmbComClose(1, 12345L);
        assertEquals(SMB_COM_CLOSE, close.command, "command should be SMB_COM_CLOSE after construction");
    }

    /**
     * Verify that writeParameterWordsWireFormat writes the file id and the
     * unsigned time correctly.  The last write time is zero which should be