Comment #2 on issue 1857 by ronan.l...@gmail.com: evalf/simplify accuracy
http://code.google.com/p/sympy/issues/detail?id=1857
In [5]: mu0 = 4*pi*1e-7
In [6]: srepr(mu0)
Out[6]: Mul(Real('3.9999999999999998e-7', prec=15), Pi())
mu0 and eps0 are only defined to 15 digits precision (i.e.
machine-precision),
because 1e-7 is a built-in Python 64-bit float. So, the 100 digits of
precision
claimed by evalf are spurious - which your tests clearly demonstrate.
This is not a bug in sympy internals, but the interface could be clearer.
Do you have
any suggestions to improve it?
mu0 = 4*sympy.pi*sympy.S(10)**-7 should behave more like you want.
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