On Fri, Aug 27, 2021 at 6:56 PM Isuru Fernando <isu...@gmail.com> wrote:
>
> Hi,
>
> A SymEngine maintainer here.
>
> > Pynac has a lot of I think nontrivial efficient hooks back into Sage
> for working with various data types, and doing things like equality
> testing, fast evaluation of expression (fast_float, etc.),
>
> With SymEngine, we do have fast evaluation of expressions with
> several backends. One backend is LLVM, where we compile the function
> using LLVM and generate a callable C function using that.
>
> As part of my GSoC project 5 years ago, I added a lot of functionality
> that was missing in SymEngine like MPFR types, MPC types, etc.
> We also have sage interoperability where we can use an arbitrary
> pynac/sympy function object and pass it around in C++ and evaluate when
> necessary.
>
> I think the biggest obstacle would be the quirks of different CASs
> instead of the functionality needed.
> Some design decisions would impact a lot of downstreams.
> For eg: SymEngine doesn't expand 2*a - (b + a) automatically
> unless specifically asked to, while SymPy does.
>
> If there's specific functionality you are looking for, please let us know and
> we'll probably be able to find someone to do it through GSoC.

a humble request is to get pkg-config supporting symengine.
Otherwise the task of determining version etc gets quite tricky.
See https://trac.sagemath.org/ticket/32421

>
> Isuru Fernando
>
> On Fri, Aug 27, 2021 at 12:45 PM William Stein <wst...@gmail.com> wrote:
>>
>> On Fri, Aug 27, 2021 at 2:21 AM Dima Pasechnik <dimp...@gmail.com> wrote:
>> > How are these integrals above computed by Sage? Via Maxima, or in some
>> > other way?
>>
>> When I implemented this, they were all computed in Maxima by default,
>> unless otherwise requested.  Thus symbolic integration may be
>> orthogonal to the pynac vs symengine discussion.  You can browse  some
>> of the beautiful decades(!) old Maxima lisp code for integration
>> starting here:
>> https://github.com/andrejv/maxima/blob/master/src/defint.lisp
>> I'm cc'ing RJF in case he has some perspective to add.
>>
>> Pynac has a lot of I think nontrivial efficient hooks back into Sage
>> for working with various data types, and doing things like equality
>> testing, fast evaluation of expression (fast_float, etc.), so it'll be
>> quite a lot of work to switch away from.   I created pynac as a fork
>> of ginac only because there was a very talented student trying for a
>> year to do something similar more from scratch in Cython, and I got
>> impatient.   It's too bad pynac is unmaintained now; I think the basic
>> idea wasn't so bad, and the performance was pretty good.
>>
>> -- William
>>
>> > > and sympy.integrate(*map(sympify, (dgamma(x, a, b), (x, 0, 
>> > > 1)))).simplify()._sage_() never returns. Res ipsa loquitur…
>> > >
>> > > BTW : many Sympy integrations result in Sympy’s Piecewise expressions 
>> > > (correctly transcripted as Sage’s cases) involving logical expressions 
>> > > using Sympy’s symbolic logical functions/operators And, Or and Not, 
>> > > which have currently no equivalent in Sage (but see Trac#31911…)
>> > >
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>>
>>
>> --
>> William (http://wstein.org)
>>
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