Hi,
In an attempt to improve #14567, I found the following thing (which
for me is a bug). Consider the different real fields with rounding
RNDD or RNDU. Then -pi is systematically wrongly approximated.
The given input
{{{
a = -pi
for rnd in 'RNDD','RNDU','RNDZ':
R = RealField(15,rnd=rnd)
s,m,e = R(a).sign_mantissa_exponent()
print rnd, m
}}}
gives me
{{{
RNDD 25735
RNDU 25736
RNDZ 25735
}}}
Where I do expect
{{{
RNDD 25736
RNDU 25735
RNDZ 25735
}}}
Note that the conversion works very well for rational numbers but also
fails on number field elements (by replacing a above by
NumberField(x^3 - 2, 'a', embedding=1.25).gen()).
Best,
Vincent
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