Updates:
Cc: fredrik.johansson
Comment #6 on issue 1321 by Vinzent.Steinberg: trigonometric functions of
floating-point numbers should return floating-point numbers
http://code.google.com/p/sympy/issues/detail?id=1321
I think we should always use full float precision (15 or 16 digits) for
floats.
There are ill-conditioned problems leading to quite wrong results if you
just
evaluate them using float precision. So I think it's affordable to use
cos(0.1).evalf() instead of cos(0.1), because evalf() is intelligent about
such problems.
But you could mention that it's the user's fault, because using floats he
risks wrong
results. Maybe it's better to just evaluate floats, it might be in general
more useful.
Fredrik, what do you think about all this?
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