GPUs. Was..Re: Should facts() show duplicate facts?

Exact arithmetic in finite fields would feed into modular arithmetic
routines like gcd, factoring .. are there GPU routines for arbitrary
precision integer arithmetic?

Floating point evaluation is not heavily used in serial, so not clear how
parallel would help.
Maybe plotting.  Approximate root finding is a limited market in symbolic
context. Maybe of more of interest for big floats.  ... Any bigfloat
routines for GPU systems?
RJF

On Fri, Aug 28, 2026, 12:02 PM Stavros Macrakis <[email protected]> wrote:

> Henry,
>
> The Maxima wiki has a "projects
> <https://sourceforge.net/p/maxima/wiki/Proposed%20work%20areas/>" page
> for documenting and discussing ideas like this. Maybe you could add an
> entry?
>
> Of course, that doesn't guarantee that anyone will actually work on it....
>
>          -s
>
>
> On Fri, Aug 28, 2026 at 9:18 AM Henry Baker <[email protected]> wrote:
>
>> Re CAD, double exponentials, etc.:
>>
>>
>> If I were to work on a PhD in *symbolic* algebra today, I'd work on
>> utilizing the massive capabilities of modern computers -- particularly
>> GPU's -- to evaluate various expressions *numerically* at huge numbers of
>> points in order to gain insight into the symbolic characteristics of those
>> expressions.
>>
>>
>> E.g., when given a high order polynomial over the complex numbers, we
>> simply evaluate it at millions of points, which will enable us to rather
>> quickly focus in on where the zeros are.
>>
>>
>> Consider the analogy with archeology.  Instead of digging by hand in tens
>> of places, why not hire an airplane with ground-penetrating radar to map
>> out millions of square miles of territory?
>>
>>
>> Even better, we can use DFT-like algorithms to quickly evaluate such
>> expressions on entire *circles* of points in the complex plane.
>>
>>
>> Perhaps someone has already started down this path ?
>>
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