Re: [Maxima-discuss] significant difference?

[Dr. S. <drs...@t-...>]

well, the difference is 6 ULPs:

0.2954883855586914
3F D2 E9 48 1E 14 A2 80

0.2954883855586907
3F D2 E9 48 1E 14 A2 74

and that is not much for a numerical result from a combination of 
transcendental functions.

I do not know which algos are used by Maxima, but I do know that 
Carlssons algorithms perform very well; usually, they are off by less 
than 2 ULPs : https://arxiv.org/abs/math/9409227v1

HTH
Schorsch
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Peter van Summeren <pet...@gm...> wrote:
(10/06/2019 15:54)

> Hello,
> I am checking a book from Miroslav Lutovac for the nomen q(k)=e^(-pi *
> K'/K) of the elliptic functions.
> He gives for k=sin(86degrees) a q of 0.2954883855586914 on page 512.
> I did:
> q(k):= (%e)^(-%pi * elliptic_kc(1-k^2)/elliptic_kc(k^2));
> q(sin(%pi * 86/180)),numer;
> And got: 0.2954883855586907
> It is a very small difference - only in the last two digits, but is it
> significant for something wrong?
> Can anyone check this result?
> with friendly greetings,
> Peter