Issue 32908: decimal ROUND_HALF_UP not according to spec for 9.95 to 10.0
As described in https://www.python.org/dev/peps/pep-0327/#rounding-algorithms round-half-up: If the discarded digits represent greater than or equal to half (0.5) then the result should be incremented by 1; otherwise the discarded digits are ignored. Rounding 9.95 to 1 decimal with ROUND_HALD_UP results in 9.9 instead of 10.0: Decimal(9.95).quantize(Decimal('1.1'),ROUND_HALF_UP) Out[49]: Decimal('9.9') It does not matter at wich position this rounding with influence on another digit happens: Decimal(9.995).quantize(Decimal('1.11'),ROUND_HALF_UP) Out[50]: Decimal('9.99') It is a specific problem with the 5, because 9.96 works as expected Decimal(9.96).quantize(Decimal('1.1'),ROUND_HALF_UP) Out[40]: Decimal('10.0') System: Python 3.6.4 import decimal decimal.__version__ : '1.70'
This isn't a bug. When you do `Decimal(9.95)`, you're converting the binary floating-point number `9.95` to a `Decimal` instance. The conversion is performed exactly, with no change in the value. But the *input* to the conversion, the float `9.95` can't be stored exactly in IEEE 754 binary64 format, so what you end up with is something very slightly smaller.
>>> from decimal import Decimal
>>> Decimal(9.95)
Decimal('9.949999999999999289457264239899814128875732421875')
That's the reason that it rounds down.
Good practice is to create your Decimal instances from strings rather than floats.
>>> Decimal(9.95).quantize(Decimal('1.1'),ROUND_HALF_UP)
Decimal('9.9')
>>> Decimal('9.95').quantize(Decimal('1.1'),ROUND_HALF_UP)
Decimal('10.0')