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42 changes: 42 additions & 0 deletions Doc/library/decimal.rst
Original file line number Diff line number Diff line change
Expand Up @@ -897,6 +897,48 @@ Decimal objects
:const:`Rounded`. If given, applies *rounding*; otherwise, uses the
rounding method in either the supplied *context* or the current context.

Decimal numbers can be rounded using the :func:`.round` function:

.. describe:: round(number)
.. describe:: round(number, ndigits)

If *ndigits* is not given or ``None``,
returns the nearest :class:`int` to *number*,
rounding ties to even, and ignoring the rounding mode of the
:class:`Decimal` context. Raises :exc:`OverflowError` if *number* is an
infinity or :exc:`ValueError` if it is a (quiet or signaling) NaN.

If *ndigits* is an :class:`int`, the context's rounding mode is respected
and a :class:`Decimal` representing *number* rounded to the nearest
multiple of ``Decimal('1E-ndigits')`` is returned; in this case,
``round(number, ndigits)`` is equivalent to
``self.quantize(Decimal('1E-ndigits'))``. Returns ``Decimal('NaN')`` if
*number* is a quiet NaN. Raises :class:`InvalidOperation` if *number*
is an infinity, a signaling NaN, or if the length of the coefficient after
the quantize operation would be greater than the current context's
precision. In other words, for the non-corner cases:

* if *ndigits* is positive, return *number* rounded to *ndigits* decimal
places;
* if *ndigits* is zero, return *number* rounded to the nearest integer;
* if *ndigits* is negative, return *number* rounded to the nearest
multiple of ``10**abs(ndigits)``.

For example::

>>> from decimal import Decimal, getcontext, ROUND_DOWN
>>> getcontext().rounding = ROUND_DOWN
>>> round(Decimal('3.75')) # context rounding ignored
4
>>> round(Decimal('3.5')) # round-ties-to-even
4
>>> round(Decimal('3.75'), 0) # uses the context rounding
Decimal('3')
>>> round(Decimal('3.75'), 1)
Decimal('3.7')
>>> round(Decimal('3.75'), -1)
Decimal('0E+1')


.. _logical_operands_label:

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