Well, searching for "lisp infix notation" is not very convincing (unless I 
missed something?), compared to built-in infix support. You might prefer 
Lisp to C/C++, it's your choice, but I don't see any objective reason that 
one should stay away from C/C++. And Giac is a proof that one can actually 
write a CAS in C/C++, that compares very well with the Lisp-based CAS 
Maxima. 
Le jeudi 21 janvier 2021 à 18:07:14 UTC+1, dim...@gmail.com a écrit :

> On Wed, Jan 20, 2021 at 7:13 PM parisse <bernard...@ujf-grenoble.fr> 
> wrote:
> >
> > As the author of a CAS, I can state that you need much more than 2 weeks 
> to learn a programming language to make a CAS, and much much more if you 
> want to be fast. Life is short, therefore choose your programming language 
> carefully! I don't regret my choice for C (+ C++ STL and operator 
> redefinition) made 20 years ago, because C can interact with a lot of 
> languages (including compilation to Javascript). If I had to choose today, 
> I would perhaps choose Julia. Not Python, it's much too slow. I don't know 
> for Lisp speed, but it's not a language I would choose anyway, I like to 
> write e.g. a+b*c when I do algebraic computations in my source code.
>
> There are macro packages for infix maths in Common Lisp, so this by no
> means should be a deal-breaker for anyone.
>
> Needless to say, C++ has its own can of worms, which anyone who tried
> to used it might easily produce, as a reason to stay
> away from it.
>
> >
> > Le mercredi 20 janvier 2021 à 19:47:01 UTC+1, rjf a écrit :
> >>
> >> I think you have to figure that there is a difference in productivity 
> of people who just learned Python in high school and would really like to 
> write a computer algebra system
> >> versus people who know more mathematics, are comfortable spending 2 
> weeks learning lisp, spending ?? (weeks? months?) studying the state of the 
> art in
> >> computer algebra systems as evolved over 60 years, and want to 
> contribute to advancing the art (rather than re-programming the easy stuff).
> >> I am under the impression that learning python is a reasonable stepping 
> stone to learning lisp.
> >>
> >> As far as checking results for various systems, there is a category of 
> CAS bugs that are syistem independent.
> >> That is, they occur in many systems! Sometimes they depend on secretly 
> dividing by zero, or doing something
> >> that is invalid at a singularity. So "Maple and Mathematica and ... all 
> agree" does not mean they are right!
> >>
> >> I think my essential point previously is that rewriting easy stuff (in 
> a different language) typically fails to push the frontier.
> >>
> >>
> >>
> >> On Wednesday, January 20, 2021 at 5:54:51 AM UTC-8 kcrisman wrote:
> >>>>
> >>>>
> >>>> As to the question of replacing backends, there is already a ticket 
> (which I cannot find right now, my apologies) which started the process of 
> seeing what doctests would fail if we went to Sympy as default. Presumably 
> something similar could be done with this engine (I don't know if it is 
> more for low-level symbolics or also things like integration).
> >>>
> >>>
> >>> In particular, the (very minimal) documentation (really an API is all) 
> makes it seems more a replacement for things like Ginac (already in C++), 
> not Maxima et al. I don't know if that would provide a noticeable speedup 
> per se, though the SageManifolds ticket mentioned parallelization so 
> perhaps it is better suited for that?
> >
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