Re: [boost] Re: Comments on Special functions, Quaternions, Octonions

From: boost (boost_at_[hidden])
Date: 2001-05-29 03:20:42

Salut,

> > for x=sqrt( sqrt(epsilon) ), the x*x will be of the order of epsilon,
> > due to the small prefactor of the next term, you could extend my idea
> > even to pow( eps,  1/6 ),  when x^6 = epsilon.
>
>                OK. I'll add one or more zones where I compute the result via
> Taylor expansion That really seems necessary. I'll see if the
> continuity matching zones are really necessary too, however.

I'm not quite sure if I understand you correctly, what do you exactly
mean with 'continuity zones' (the plural). One for each function, or several 
for one function ?

> > I was only confused, that's all. SInce you introduced the sinc_a family,
> > I was always searching for one a != pi.
>
>                Slated for later, provided this library doe make the cut.

What is the advatage of sinc_a(x) ? To address rounding problems for very 
large x ? Then it would be more important to improve sin(x) for very large 
arguments.

>
>        Amicalement

Someone writing sources for octonions had to be a french person.

Amicalement
Peter Schmitteckert