values = [repr(amt) for amt in self.values()]

        return f"{type(self).__name__}({values!r})"

    def __str__(self) -> str:

        return self.format()

    def __abs__(self: BalanceType) -> BalanceType:

        return type(self)(bc_amount.abs(amt) for amt in self.values())

    def __add__(self: BalanceType, other: Union[data.Amount, 'Balance']) -> BalanceType:

        retval_map = self._currency_map.copy()

        self._add_other(retval_map, other)

        return type(self)(retval_map.values())

    def __sub__(self: BalanceType, other: Union[data.Amount, 'Balance']) -> BalanceType:

        return self.__add__(-other)

    def __eq__(self, other: Any) -> bool:

        if isinstance(other, Balance):

            clean_self = self.clean_copy()

            clean_other = other.clean_copy()

            return len(clean_self) == len(clean_other) and all(

                clean_self[key] == clean_other.get(key) for key in clean_self

            )

        else:

            return super().__eq__(other)

    def __neg__(self: BalanceType) -> BalanceType:

        return type(self)(-amt for amt in self.values())

    def __pos__(self: BalanceType) -> BalanceType:

        return self

    def __getitem__(self, key: str) -> data.Amount:

        return self._currency_map[key]

    def __iter__(self) -> Iterator[str]:

        return iter(self._currency_map)

    def __len__(self) -> int:

        return len(self._currency_map)

    def _all_amounts(self,

                     op_func: Callable[[DecimalCompat, DecimalCompat], bool],

                     operand: DecimalCompat,

    ) -> bool:

        return all(op_func(amt.number, operand) for amt in self.values())

    def clean_copy(self: BalanceType, tolerance: Optional[Decimal]=None) -> BalanceType:

        if tolerance is None:

            tolerance = self.tolerance

        return type(self)(

            (amount for amount in self.values() if abs(amount.number) >= tolerance),

            tolerance,

        )

    @staticmethod

    def within_tolerance(dec: DecimalCompat, tolerance: DecimalCompat) -> bool:

        dec = cast(Decimal, dec)

        return abs(dec) < tolerance

    def eq_zero(self) -> bool:

        """Returns true if all amounts in the balance == 0, within tolerance."""

        return self._all_amounts(self.within_tolerance, self.tolerance)

    is_zero = eq_zero

    def ge_zero(self) -> bool:

        """Returns true if all amounts in the balance >= 0, within tolerance."""

        op_func = operator.gt if self.tolerance else operator.ge

        return self._all_amounts(op_func, -self.tolerance)

    def le_zero(self) -> bool:

        """Returns true if all amounts in the balance <= 0, within tolerance."""

        op_func = operator.lt if self.tolerance else operator.le

        return self._all_amounts(op_func, self.tolerance)

    def format(self,

               fmt: Optional[str]='#,#00.00 ¤¤',

               sep: str=', ',

               empty: str="Zero balance",

               tolerance: Optional[Decimal]=None,

    ) -> str:

        """Formats the balance as a string with the given parameters

        If the balance is zero (within tolerance), returns ``empty``.

        Otherwise, returns a string with each amount in the balance formatted

        as ``fmt``, separated by ``sep``.

        If you set ``fmt`` to None, amounts will be formatted according to the

        user's locale. The default format is Beancount's input format.

        """

        amounts = list(self.clean_copy(tolerance).values())

        if not amounts:

            return empty