Comment #5 on issue 3250 by [email protected]: simplify() results in loss of
precision
http://code.google.com/p/sympy/issues/detail?id=3250
The first step is not pass the proper float value along to dtype:
b = a if a.is_Float else a.evalf()
The next step is to figure out how to get mpmath's mpf to respect the
precision. mpf is the MPmathRealType that polys uses for dtype as defined
in MPmathRealDomain.
from sympy.mpmath import mpf
mpf(pi.n(10))
mpf('3.1415926535846666')
Float(_)
3.14159265358467
mpf(pi.n(100))
mpf('3.1415926535897931')
Float(_)
3.14159265358979
mpf(pi.n(100)._mpf_)
mpf('3.1415926535897931')
Float(_)
3.14159265358979
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