long hash1 = lowerEight(bytes);
      long hash2 = upperEight(bytes);

      boolean bitsChanged = false;
      long combinedHash = hash1;
      for (int i = 0; i < numHashFunctions; i++) {
        // Make the combined hash positive and indexable
        bitsChanged |= bits.set((combinedHash & Long.MAX_VALUE) % bitSize);
        combinedHash += hash2;
      }
      return bitsChanged;
    }

        // Verify hash is not null
        byte[] hash = transport.getPreauthIntegrityHash();
        assertNotNull(hash);

        // Verify hash is a copy, not the original
        byte[] hash2 = transport.getPreauthIntegrityHash();
        assertNotSame(hash, hash2);
        assertArrayEquals(hash, hash2);
    }

    /**
     * Test that pre-auth hash is reset on error
     */
    @Test

      assertEquals(expectedHashCode.asLong.longValue(), hash.asLong());
    }
    assertThat(hash.toString()).isEqualTo(expectedHashCode.toString);
    assertSideEffectFree(hash);
    assertReadableBytes(hash);
  }

  private static void assertSideEffectFree(HashCode hash) {
    byte[] original = hash.asBytes();
    byte[] mutated = hash.asBytes();
    mutated[0]++;
    assertThat(hash.asBytes()).isEqualTo(original);
  }

        int key2 = key1 ^ (1 << i);
        // get hashes
        int hash1 = function.hashInt(key1).asInt();
        int hash2 = function.hashInt(key2).asInt();
        // test whether the hash values have same output bits
        same |= ~(hash1 ^ hash2);
        // test whether the hash values have different output bits
        diff |= hash1 ^ hash2;

        count++;

        // Act
        byte[] hash1 = NtlmUtil.getNTHash(password1);
        byte[] hash2 = NtlmUtil.getNTHash(password2);

        // Assert
        assertFalse(Arrays.equals(hash1, hash2), "Different passwords should produce different hashes");
        assertEquals(16, hash1.length, "NT hash should be 16 bytes");
        assertEquals(16, hash2.length, "NT hash should be 16 bytes");
    }

    @Test

      assertEquals(expectedHashCode.asLong.longValue(), hash.asLong());
    }
    assertThat(hash.toString()).isEqualTo(expectedHashCode.toString);
    assertSideEffectFree(hash);
    assertReadableBytes(hash);
  }

  private static void assertSideEffectFree(HashCode hash) {
    byte[] original = hash.asBytes();
    byte[] mutated = hash.asBytes();
    mutated[0]++;
    assertThat(hash.asBytes()).isEqualTo(original);
  }

    @DisplayName("Should calculate MD4 hash correctly")
    void testMD4Hash() {
        // Given
        String input = "Hello World";
        byte[] data = input.getBytes();

        // When
        MessageDigest md4 = Crypto.getMD4();
        byte[] hash = md4.digest(data);

        // Then
        assertNotNull(hash);
        assertEquals(16, hash.length); // MD4 produces 128-bit hash
    }

    @Test

        StopwordsItem item1 = new StopwordsItem(1, null);
        StopwordsItem item2 = new StopwordsItem(2, null);

        // Should not throw
        int hash1 = item1.hashCode();
        int hash2 = item2.hashCode();

        // Same null input should produce same hashCode
        assertEquals(hash1, hash2);

        // Consistent hashCode

            byte[] hash1 = transport.calculatePreauthHash(input, 0, input.length, null);
            assertNotNull(hash1);
            assertEquals(64, hash1.length, "SHA-512 size");

            byte[] hash2 = transport.calculatePreauthHash(new byte[] { 50 }, 0, 1, hash1);
            assertNotNull(hash2);
            assertEquals(64, hash2.length);

        ProtwordsItem item1 = new ProtwordsItem(1, null);
        ProtwordsItem item2 = new ProtwordsItem(2, null);

        // Should not throw
        int hash1 = item1.hashCode();
        int hash2 = item2.hashCode();

        // Same null input should produce same hashCode
        assertEquals(hash1, hash2);

        // Consistent hashCode