id	summary	reporter	owner	description	type	status	priority	milestone	component	resolution	keywords	cc	work_issues	upstream	reviewer	author	merged	dependencies	stopgaps
10221	problem in rounding (RealField)	zimmerma	AlexGhitza	"Consider the following with Sage 4.4.4:
{{{
sage: RD = RealField(53, rnd='RNDD')
sage: RU = RealField(53, rnd='RNDU')
sage: a=RD(1/3)
sage: RU(1/a)
3.00000000000000
sage: RU(1/a.exact_rational())
3.00000000000001
}}}
I would expect both results to be equal, since a is exactly representable in 53-bit precision. However it seems in {{{RU(1/a)}}}
that {{{1/a}}} is evaluated with rounding down, whereas I would
expect it evaluated with rounding up.

Maybe {{{1/a}}} is first evaluated before {{{RU}}} is called on it?

Paul"	defect	closed	minor	sage-duplicate/invalid/wontfix	basic arithmetic	invalid				N/A