assertThrows(IllegalArgumentException.class, () -> IntMath.binomial(n, 0));
    }
  }

  @AndroidIncompatible // slow
  @GwtIncompatible // java.math.BigInteger
  public void testMean() {
    // Odd-sized ranges have an obvious mean
    assertMean(2, 1, 3);

    assertMean(-2, -3, -1);
    assertMean(0, -1, 1);
    assertMean(1, -1, 3);
    assertMean((1 << 30) - 1, -1, Integer.MAX_VALUE);

    long sqrtMaxLong = (long) Math.sqrt(Long.MAX_VALUE);
    assertTrue(sqrtMaxLong <= LongMath.FLOOR_SQRT_MAX_LONG);
  }

  @AndroidIncompatible // slow
  @GwtIncompatible // java.math.BigInteger
  public void testMean() {
    // Odd-sized ranges have an obvious mean
    assertMean(2, 1, 3);

    assertMean(-2, -3, -1);
    assertMean(0, -1, 1);
    assertMean(1, -1, 3);
    assertMean((1L << 62) - 1, -1, Long.MAX_VALUE);

    }

    // Test validation with valid cron expressions
    public void test_validCronExpressions() {
        TestBean bean = new TestBean();

        // Test null value (should be valid)
        bean.setCronExpression(null);
        Set<ConstraintViolation<TestBean>> violations = validator.validate(bean);
        assertTrue(violations.isEmpty());

        // Test empty string (should be valid)

 *
 * <pre>
 * DestBean destBean = copyBeanToNewBean(srcBean, DestBean.class);
 * DestBean destBean = copyMapToNewBean(srcMap, DestBean.class);
 * Map&lt;String, Object&gt; destMap = copyBeanToNewMap(srcBean);
 * </pre>
 * <p>
 * It is also possible to specify options when copying.
 * </p>
 *
 * <pre>
 * import static org.codelibs.core.beans.util.CopyOptionsUtil.*;
 *
 * copyBeanToBean(srcBean, destBean, excludeNull());
 * </pre>

        checkGetMethod(searchBody, getListEndpointSuffix()).then().body(getJsonPath() + ".size()", equalTo(NUM));
        logger.info("[END] testCreate");
    }

    protected void testRead() {
        logger.info("[BEGIN] testRead");
        // Test: get settings api.
        final Map<String, Object> searchBody = createSearchBody(SEARCH_ALL_NUM);
        List<String> nameList = getPropList(searchBody, getKeyProperty());

 * <pre>
 * import static org.codelibs.core.beans.util.CopyOptionsUtil.*;
 *
 * copyBeanToBean(srcBean, destBean, excludeNull());
 * </pre>
 * <p>
 * The return value of {@literal CopyOptionsUtil} is {@link CopyOptions},
 * so you can specify multiple options using method chaining.
 * </p>
 *
 * <pre>
 * copyBeanToBean(srcBean, destBean, excludeNull().dateConverter("date", "MM/dd"));
 * </pre>
 *
 * @author koichik
 */

        final Map<String, Object> updateMap = new HashMap<>();
        updateMap.put("value", "new_value");
        return updateMap;
    }

    @Test
    void crudTest() {
        testCreate();
        testRead();
        testUpdate();
        testDelete();
    }

        updateMap.put("parameters", "new_parameters=aaa");
        return updateMap;
    }

    @Test
    void crudTest() {
        testCreate();
        testRead();
        testUpdate();
        testDelete();
    }

### Deklarieren Sie einen *Pfad-Parameter*

Dann erstellen Sie einen *Pfad-Parameter*, der als Typ die gerade erstellte Enum-Klasse hat (`ModelName`):

{* ../../docs_src/path_params/tutorial005.py hl[16] *}

### Testen Sie es in der API-Dokumentation

Weil die erlaubten Werte für den *Pfad-Parameter* nun vordefiniert sind, kann die interaktive Dokumentation sie als Auswahl-Drop-Down anzeigen:

        updateMap.put("parameters", "new_parameters=test");
        return updateMap;
    }

    @Test
    void crudTest() {
        testCreate();
        testRead();
        testUpdate();
        testDelete();
    }