Python fails on math
Grant Edwards
invalid at invalid.invalid
Tue Feb 22 12:27:56 EST 2011
On 2011-02-22, christian schulze <xcr4cx at googlemail.com> wrote:
> Hey guys,
>
> I just found out, how much Python fails on simple math.
Python doesn't do math.
It does floating point operations.
They're different. Seriously.
On all of the platforms I know of, it's IEEE 754 (base-2) floating
point.
> I checked a simple equation for a friend.
>
> [code]
>>>> from math import e as e
>>>> from math import sqrt as sqrt
>>>> 2*e*sqrt(3) - 2*e == 2*e*(sqrt(3) - 1)
> False
> [/code]
>
> So WTF?
Python doesn't do equations. Python does floating point operations.
[And it does them in _base_2_ -- which is important, because it makes
things even more difficult.]
> The equation is definitive equivalent. (See http://mathbin.net/59158)
But, the two floating point expressions you provided are not
equivalent.
Remember, you're not doing math with Python.
You're doing binary floating point operations.
> #1:
>>>> 2.0 * e * sqrt(3.0) - 2.0 * e
> 3.9798408154464964
>
> #2:
>>>> 2.0 * e * (sqrt(3.0) -1.0)
> 3.979840815446496
>
> I was wondering what exactly is failing here. The math module?
> Python, or the IEEE specifications?
I'm afraid it's the user that's failing. Unfortunately, in many
situations using floating point is neither intuitive nor easy to get
right.
http://docs.python.org/tutorial/floatingpoint.html
http://en.wikipedia.org/wiki/Floating_point
--
Grant Edwards grant.b.edwards Yow! I like your SNOOPY
at POSTER!!
gmail.com
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