/**
   * testet die Multiplikation mit der gleichen Einheit .
   *
   * @throws PersistenceException
   * @throws NotComputableException
   */
  @Test
  public void testBasicCalculation_Same_Unit_mul()
      throws PersistenceException, NotComputableException {
    final PersistentQuantity two = quanMan.createQuantity(meter, Fraction.parse("2"));
    final PersistentQuantity eight = quanMan.createQuantity(meter, Fraction.parse("8"));

    /*
     * Test 1: 2m * 8m = 16m^2 (simple)
     */
    final PersistentQuantity test1_act = (PersistentQuantity) quanMan.mul(two, eight);
    final PersistentQuantity test1_exp = quanMan.createQuantity(squareMeter, Fraction.parse("16"));
    assertEquals(test1_exp.getUnit(), test1_act.getUnit());
    assertEquals(test1_exp.getAmount(), test1_act.getAmount());
  }
  /**
   * testet die Division mit der gleichen Einheit .
   *
   * @throws PersistenceException
   * @throws NotComputableException
   */
  @Test
  public void testBasicCalculation_Same_Unit_div()
      throws PersistenceException, NotComputableException {
    final PersistentQuantity two = quanMan.createQuantity(meter, Fraction.parse("2"));
    final PersistentQuantity eight = quanMan.createQuantity(squareMeter, Fraction.parse("8"));

    final PersistentQuantity fiveMeter = quanMan.createQuantity(meter, Fraction.parse("5"));
    final PersistentQuantity twoSeconds = quanMan.createQuantity(second, Fraction.parse("2"));

    /*
     * Test 16m^2 / 8m = 2m (simple)
     */
    final PersistentQuantity test1_act = (PersistentQuantity) quanMan.div(eight, two);
    final PersistentQuantity test1_exp = quanMan.createQuantity(meter, Fraction.parse("4"));
    assertEquals(test1_exp.getUnit(), test1_act.getUnit());
    assertEquals(test1_exp.getAmount(), test1_act.getAmount());

    /*
     * Test 5m / 2s = 5/2 m/s
     */
    final PersistentQuantity test2_act = (PersistentQuantity) quanMan.div(fiveMeter, twoSeconds);
    final PersistentQuantity test2_exp =
        quanMan.createQuantity(meterPerSecond, Fraction.parse("5/2"));
    assertEquals(test2_exp.getUnit(), test2_act.getUnit());
    assertEquals(test2_exp.getAmount(), test2_act.getAmount());
  }
  /**
   * testet die Addition mit der gleichen Einheit.
   *
   * @throws PersistenceException
   * @throws NotComputableException
   */
  @Test
  public void testBasicCalculation_Same_Unit_add()
      throws PersistenceException, NotComputableException {
    final PersistentQuantity two = quanMan.createQuantity(meter, Fraction.parse("2"));
    final PersistentQuantity minusOne = quanMan.createQuantity(meter, Fraction.parse("-1"));
    final PersistentQuantity eight = quanMan.createQuantity(meter, Fraction.parse("8"));

    /*
     * Test 1: -1 +2 = 1
     */
    final PersistentQuantity test1_act = (PersistentQuantity) quanMan.add(minusOne, two);
    final PersistentQuantity test1_exp = quanMan.createQuantity(meter, Fraction.parse("1"));
    assertEquals(test1_exp.getUnit(), test1_act.getUnit());
    assertEquals(test1_exp.getAmount(), test1_act.getAmount());

    /*
     * Test 2: 8 + -1 = 7
     */
    final PersistentQuantity test2_act = (PersistentQuantity) quanMan.add(eight, minusOne);
    final PersistentQuantity test2_exp = quanMan.createQuantity(meter, Fraction.parse("7"));
    assertEquals(test1_exp.getUnit(), test1_act.getUnit());
    assertEquals(test1_exp.getAmount(), test1_act.getAmount());
  }