assertNotNull(manager);
    }

    // Test insert with no chains
    public void test_insert_noChains() {
        User user = createTestUser("testuser");
        authenticationManager.insert(user);
        // Should not throw exception even with no chains
    }

    // Test insert with single chain
    public void test_insert_singleChain() {

      } else {
        return withSlope((y2 - y1) / (x2 - x1));
      }
    }

    /**
     * Finish building an instance with the given slope, i.e. the rate of change of {@code y} with
     * respect to {@code x}. The slope must not be {@code NaN}. It may be infinite, in which case
     * the transformation is vertical. (If it is zero, the transformation is horizontal.)
     */

    }

    /**
     * Stores a protected words item (insert or update).
     * @param dictId the dictionary ID
     * @param protwordsItem the item to store
     */
    public void store(final String dictId, final ProtwordsItem protwordsItem) {
        getProtwordsFile(dictId).ifPresent(file -> {
            if (protwordsItem.getId() == 0) {
                file.insert(protwordsItem);
            } else {

    BloomFilter<String> bf =
        BloomFilter.create(
            Funnels.unencodedCharsFunnel(),
            numInsertions,
            0.03,
            BloomFilterStrategies.MURMUR128_MITZ_32);

    // Insert "numInsertions" even numbers into the BF.
    for (int i = 0; i < numInsertions * 2; i += 2) {
      bf.put(Integer.toString(i));
    }
    assertApproximateElementCountGuess(bf, numInsertions);

    }

    /**
     * Stores (creates or updates) a stemmer override item in the specified dictionary.
     *
     * If the item ID is 0, this method performs an insert operation. Otherwise,
     * it performs an update operation for the existing item.
     *
     * @param dictId The ID of the stemmer override dictionary
     * @param stemmerOvberrideItem The stemmer override item to store

     */
    public void store(final String dictId, final KuromojiItem kuromojiItem) {
        getKuromojiFile(dictId).ifPresent(file -> {
            if (kuromojiItem.getId() == 0) {
                file.insert(kuromojiItem);
            } else {
                file.update(kuromojiItem);
            }
        });
    }

    /**
     * Delete a Kuromoji item.
     *

        return getCharMappingFile(dictId).map(file -> file.get(id).get());
    }

    /**
     * Stores a character mapping item in the specified dictionary.
     * <p>
     * This method performs either an insert operation (for new items with ID 0)
     * or an update operation (for existing items with non-zero ID) depending on
     * the item's current state.
     * </p>
     *

                    }
                });

    }

    /**
     * Inserts or updates a user in LDAP directory.
     *
     * @param user the user object to insert or update
     */
    public void insert(final User user) {
        if (!fessConfig.isLdapAdminEnabled(user.getName())) {
            return;
        }

        final Supplier<Hashtable<String, String>> adminEnv = this::createAdminEnv;

    }

    public void test_insert() {
        // Create new item for insertion
        ProtwordsItem newItem = new ProtwordsItem(0, "newWord");

        // Insert the item
        protwordsFile.insert(newItem);

        // Verify the item was added
        protwordsFile.reload(null);
        boolean found = false;
        PagingList<ProtwordsItem> list = protwordsFile.selectList(0, 100);

        assertEquals(3, result5.getAllRecordCount());
    }

    // Test insert method
    public void test_insert() throws Exception {
        writeTestFile("a,b => c\n");

        CharMappingItem newItem = new CharMappingItem(0, new String[] { "x", "y" }, "z");
        charMappingFile.insert(newItem);

        // Verify the item was added