How to use the barril.units.Quantity.CreateDerived function in barril

def testDerivedQuantities(unit_database_len_time):
    # define a simple quantity
    ObtainQuantity(unit="s", category="Time")  # see if it works
    ObtainQuantity(unit="m", category="Table size")  # see if it works
    q3 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2]), ("Time", ["s", -1])]))
    q4 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2]), ("Time", ["s", -2])]))
    q5 = Quantity.CreateDerived(
        OrderedDict([("Table size", ["m", 1]), ("City size", ["m", 1]), ("Time", ["s", -2])])
    )
    q6 = Quantity.CreateDerived(OrderedDict([("Time", ["s", -2])]))
    q7 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 1]), ("Time", ["s", 2])]))

    with pytest.raises(InvalidUnitError):
        Quantity.CreateDerived(
            OrderedDict(
                [("Table size", ["invalid", 1]), ("City size", ["m", 1]), ("Time", ["s", -2])]
            )
        )

    assert "(Table size) ** 2 / Time" == q3.GetCategory()
    assert "m2/s" == q3.GetUnit()

def testDerivedQuantities(unit_database_len_time):
    # define a simple quantity
    ObtainQuantity(unit="s", category="Time")  # see if it works
    ObtainQuantity(unit="m", category="Table size")  # see if it works
    q3 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2]), ("Time", ["s", -1])]))
    q4 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2]), ("Time", ["s", -2])]))
    q5 = Quantity.CreateDerived(
        OrderedDict([("Table size", ["m", 1]), ("City size", ["m", 1]), ("Time", ["s", -2])])
    )
    q6 = Quantity.CreateDerived(OrderedDict([("Time", ["s", -2])]))
    q7 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 1]), ("Time", ["s", 2])]))

    with pytest.raises(InvalidUnitError):
        Quantity.CreateDerived(
            OrderedDict(
                [("Table size", ["invalid", 1]), ("City size", ["m", 1]), ("Time", ["s", -2])]
            )
        )

    assert "(Table size) ** 2 / Time" == q3.GetCategory()
    assert "m2/s" == q3.GetUnit()

    assert "(Table size) ** 2 / (Time) ** 2" == q4.GetCategory()

def testConvertionWithDerivedUnits(unit_database_len_time):
    empty = Quantity.CreateDerived(OrderedDict())
    m = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 1])]))
    m_city = Quantity.CreateDerived(OrderedDict([("City size", ["m", 1])]))
    cm = Quantity.CreateDerived(OrderedDict([("Table size", ["cm", 1])]))
    km_city = Quantity.CreateDerived(OrderedDict([("City size", ["km", 1])]))
    m2 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2])]))
    s = Quantity.CreateDerived(OrderedDict([("Time", ["s", -1])]))
    m2s = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2]), ("Time", ["s", -1])]))
    cat_mix_m2 = Quantity.CreateDerived(
        OrderedDict([("Table size", ["m", 1]), ("City size", ["m", 1])])
    )

    unit_database = unit_database_len_time
    # multiplication
    assert (m2, 2) == unit_database.Multiply(m, m, 1, 2)
    assert (m2s, 2) == unit_database.Multiply(m2, s, 1, 2)
    assert (m2s, 2) == unit_database.Multiply(m2, s, 1, 2)
    assert (m2, 1) == unit_database.Multiply(m, cm, 1, 100)
    assert (cat_mix_m2, 1) == unit_database.Multiply(m, m_city, 1, 1)
    assert (cat_mix_m2, 1) == unit_database.Multiply(m, km_city, 1, 0.001)

    # division
    assert (m, 0.001) == unit_database.Divide(cat_mix_m2, km_city, 1, 1)
    # check division with cancelling units (and different categories)

def testConvertionWithDerivedUnits(unit_database_len_time):
    empty = Quantity.CreateDerived(OrderedDict())
    m = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 1])]))
    m_city = Quantity.CreateDerived(OrderedDict([("City size", ["m", 1])]))
    cm = Quantity.CreateDerived(OrderedDict([("Table size", ["cm", 1])]))
    km_city = Quantity.CreateDerived(OrderedDict([("City size", ["km", 1])]))
    m2 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2])]))
    s = Quantity.CreateDerived(OrderedDict([("Time", ["s", -1])]))
    m2s = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2]), ("Time", ["s", -1])]))
    cat_mix_m2 = Quantity.CreateDerived(
        OrderedDict([("Table size", ["m", 1]), ("City size", ["m", 1])])
    )

    unit_database = unit_database_len_time
    # multiplication
    assert (m2, 2) == unit_database.Multiply(m, m, 1, 2)
    assert (m2s, 2) == unit_database.Multiply(m2, s, 1, 2)
    assert (m2s, 2) == unit_database.Multiply(m2, s, 1, 2)
    assert (m2, 1) == unit_database.Multiply(m, cm, 1, 100)
    assert (cat_mix_m2, 1) == unit_database.Multiply(m, m_city, 1, 1)

def testQuantityCaption(unit_database_posc_len):
    unit_database = unit_database_posc_len
    unit_database.AddUnitBase(UNKNOWN_QUANTITY_TYPE, UNKNOWN_QUANTITY_TYPE, UNKNOWN_UNIT)
    unit_database.AddCategory(UNKNOWN_QUANTITY_TYPE, UNKNOWN_QUANTITY_TYPE)

    q0 = ObtainQuantity(unit=UNKNOWN_UNIT, category=UNKNOWN_QUANTITY_TYPE)
    assert "" == q0.GetUnknownCaption()

    q = ObtainQuantity(
        unit=UNKNOWN_UNIT, unknown_unit_caption="Feeeet", category=UNKNOWN_QUANTITY_TYPE
    )
    assert "Feeeet" == q.GetUnknownCaption()
    assert "Feeeet " == q.GetUnitCaption()

    q = Quantity.CreateDerived(OrderedDict([("length", ("m", 1))]), unknown_unit_caption="Feeeet")
    assert "m" == q.GetUnitCaption()

def testReadOnlyOperation(unit_database_len_time):
    unit_database = unit_database_len_time
    m_ro = ObtainQuantity("m", "Table size")
    m_rw = ObtainQuantity("m", "Table size")

    m2 = Quantity.CreateDerived(OrderedDict([("Table size", ["m", 2])]))

    # multiplication
    assert (m2, 2) == unit_database.Multiply(m_rw, m_rw, 1, 2)
    assert (m2, 2) == unit_database.Multiply(m_ro, m_rw, 1, 2)
    assert (m2, 2) == unit_database.Multiply(m_ro, m_ro, 1, 2)
    assert (m2, 2) == unit_database.Multiply(m_rw, m_ro, 1, 2)

    quantity, _ = unit_database.Multiply(m_ro, m_ro, 1, 2)
    assert isinstance(quantity, Quantity)

    quantity, _ = unit_database.Multiply(m_rw, m_rw, 1, 2)
    assert isinstance(quantity, Quantity)
    quantity, _ = unit_database.Multiply(m_rw, m_ro, 1, 2)
    assert isinstance(quantity, Quantity)
    quantity, _ = unit_database.Multiply(m_ro, m_rw, 1, 2)
    assert isinstance(quantity, Quantity)