class Balance(Mapping[str, data.Amount]):

    """A collection of amounts mapped by currency

    Each key is a Beancount currency string, and each value represents the

    balance in that currency.

    """

    __slots__ = ('_currency_map', 'tolerance')

    TOLERANCE = Decimal('0.01')

    def __init__(self,

                 source: Iterable[data.Amount]=(),

    ) -> None:

        if tolerance is None:

            tolerance = self.TOLERANCE

        self.tolerance = tolerance

        self._currency_map: Dict[str, data.Amount] = {}

        for amount in source:

            self._add_amount(self._currency_map, amount)

    def _add_amount(self,

                    currency_map: MutableMapping[str, data.Amount],

                    amount: data.Amount,

    ) -> None:

    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())

        if tolerance is None:

            tolerance = self.tolerance

        return type(self)(self.values(), tolerance)

        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

        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]='#,##0.00 ¤¤',

               sep: str=', ',

               empty: str="Zero balance",

               zero: Optional[str]=None,

    ) -> str:

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

        If the balance is completely empty, return ``empty``.

        If the balance is zero (within tolerance) and ``zero`` is specified,

        return ``zero``.

        Otherwise, return 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.

        """