What exactly do you mean by "support"? Maxima certainly can
*represent*many kinds of computable numbers as Maxima expressions --
7, %e+%pi,
sum(i^z,i,1,inf), sum(2^-i!,i,1,inf) -- or for that matter by arbitrary
Maxima programs. Though there are some limitations. For example, if you
try to use the representation 10^10^10, Maxima will run out of memory
because it tries to calculate the integer explicitly.
But just because you can represent these numbers doesn't mean you can do
useful things with them. For example, the order relation on the computable
numbers is not computable (see G?del) -- actually it's worse than that
(Richardson).
So what exactly are the operations you want to support?
-s
On Mon, Feb 27, 2012 at 11:31, Olivier Drolet <trimtab at me.com> wrote:
> Does Maxima support Computable Reals?
>
>
> On 2012-02-27, at 11:17 , Stavros Macrakis wrote:
>
> > Maxima supports integers of arbitrary size, limited only by machine
> > memory. Of course, some calculations will be slow on large integers:
> >
> > factor(10^100 - 9 ^ 100) =>
> >
> 11*19*31*41*101*181*241*401*761*1321*1901*3701*7541*259001*1912601*3438451*1363017301*48873277451
> > *875145743369801*4023238425162001
> > (takes 2.6 secs on my machine -- times go up rapidly with larger numbers)
> >
> > though others will be fast:
> >
> > mod(10^1000000,23456) => 9504 (0.4 sec)
> >
> > Maxima is perfectly happy to calculate (say) 10^1000000, but of course
> > the printout is rather long....
> >
> > Maxima can also calculate with arbitrary-precision decimals -- though
> > you must specify the precision in advance:
> >
> > fpprec: 200$ <<< set precision to 200 decimal digits
> > bfloat(sqrt(2)) =>
> >
> 1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727350138462309122970249248360558507372126441214970999358314132226659275055927557999505011527820605715b0
> >
> > -s
> >
> > On Mon, Feb 27, 2012 at 10:52, Roman Plch <plch at math.muni.cz> wrote:
> >> Hi,
> >>
> >> what is the biggest integer we can use in Maxima (on 32 bit systems)?
> >> How Maxima store integers?
> >>
> >> Thanks in advance.
> >>
> >> Best regards
> >>
> >> Roman
> >> _______________________________________________
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>
>