Happy new year all,

Have not followed the full thread, in case it has not been mentioned
already:

http://dec64.com/


Cheers


On Tue, 18 Dec 2018 at 02:42, Keith Medcalf <kmedc...@dessus.com> wrote:

> >This thread is getting out of hand. Firstly there is no such binary
> >representation ( in this universe ) for a trivial decimal number such
> >as one tenth ( 0.10 ) and really folks should refer to the text book
> >recently published ( 2nd Edition actually ) where all this is covered
> >:
> >     Handbook of Floating-Point Arithmetic
> >     Authors: Muller, J.-M., Brunie, N., de Dinechin, F.,
> >              Jeannerod, C.-P., Joldes, M., Lefèvre, V.,
> >              Melquiond, G., Revol, N., Torres, S.
> >
> >     This handbook is a definitive guide to the effective use of
> >     modern floating-point arithmetic, which has considerably
> >     evolved, from the frequently inconsistent floating-point number
> >     systems of early computing to the recent IEEE 754-2008 standard.
>
>
> https://doc.lagout.org/science/0_Computer%20Science/3_Theory/Handbook%20of%20Floating%20Point%20Arithmetic.pdf
>
> While it is true there is no exact representation of 1/10th in binary
> floating point, at double precision the epsilon is 1.3877787807814457e-17
> which means that for all intents and purposes 1/10th is exact to 16.9
> decimal places.  Which is pretty damn good for a format that is only
> purported to be accurate to 15 decimal digits.
>
> ---
> The fact that there's a Highway to Hell but only a Stairway to Heaven says
> a lot about anticipated traffic volume.
>
>
>
>
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>


-- 
Pavlos Christoforou

Point Nine Limited
Mobile:     +357 99 160960

pavlos.christofo...@p9ft.com
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