I translated all the mpmath ones to SymPy
https://github.com/fredrik-johansson/314/pull/4. There are quite a few
that don't work, so there's lots of room for improvement in SymPy's
algorithms. I also found a few bugs (I opened issues in SymPy for the
bugs, but I didn't open any issues for the things that just don't
work, or functions that aren't implemented yet; if someone wants to do
that feel free).

Someone ought to go in and add a bunch of ways of representing pi
using SymPy's geometry module. Maybe the stats module as well, if
there are any useful statistical representations of pi. Perhaps
physics as well.

I think there are also a lot of opportunities for the solvers, since
the only ones that are there are sin(x) = 0 and cos(x/2) = 0.

Aaron Meurer

On Fri, Mar 11, 2016 at 4:06 PM, Aaron Meurer <[email protected]> wrote:
> Fixed at https://github.com/sympy/sympy/pull/10799.
>
> Aaron Meurer
>
> On Fri, Mar 11, 2016 at 3:36 PM, Fredrik Johansson
> <[email protected]> wrote:
>> On Friday, March 11, 2016 at 9:15:34 PM UTC+1, Aaron Meurer wrote:
>>>
>>> SymPy gives I*pi for sqrt(-12*polylog(2,-1)). According to
>>>
>>> http://docs.sympy.org/latest/modules/functions/special.html#sympy.functions.special.zeta_functions.polylog,
>>> polylog(s, -1) is the same as dirichlet_eta(s). The definitions for
>>> polylog in the sympy and mpmath docs look the same, so is SymPy wrong
>>> here, or am I missing something (WolframAlpha seems to agree with
>>> mpmath)?
>>
>>
>> It should be polylog(s,-1) = -dirichlet_eta(s).
>>
>> Fredrik
>>
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