On Tue, 8 Feb 2005 15:23:06 +0100, Lourens Veen
<[EMAIL PROTECTED]> wrote:
> On Tuesday 08 February 2005 13:02, Lourens Veen wrote:
> >
> > Do note that what you're using is not the best possible linear
> > approximation. Thinking graphically, you're drawing a straight line between
> > the first and last point of the interval, so that you're always a little
> > high in the approximation. If you draw that line a little lower, then
> > you'll still be high in the middle, but low at the ends, and the error is
> > more balanced. The real maximum error is thus about half that, so you get
> > one bit more precision.
> 
> Erm, of course not. The interval remains the same, so you don't have any extra
> precision at all. It's just that you eliminate the systematic error.

We need a table and an algorithm that produces good results.  Even
with a fixed implementation, the table will be accessible in case
someone comes up with better numbers.
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