Comment #17 on issue 1374 by Toon.Verstraelen: simplify(x**2-x**2.0) does
not yield 0.
http://code.google.com/p/sympy/issues/detail?id=1374
I would not go as far as saying that the floating point number 2.0 is
two-digit
representation of anything like 2.01 or 1.97 in a computing context. This
is a
convention for measurements, not for floating point numbers on a computer.
In any
computer language the expression 2.00 == 2.0 evaluates to True and 2.01 ==
2.0
evaluates to False.
I must admit that the following is also confuses me:
In [1]: Real(2.0)==Integer(2)
Out[1]: True
In [2]: x**Real(2.0)==x**Integer(2)
Out[2]: True
In [3]: x**Real(2.0)-x**Integer(2) == 0
Out[3]: False
Given the first two results, I would also think the third one is a bug.
Even without
the simplify.
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