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Date: Mon, 18 Mar 2019 00:07:30 +0100
From: Szabolcs Nagy <nsz@...t70.net>
To: musl@...ts.openwall.com
Subject: Re: Re: atanhf(x) Slight Accuracy Improvements
* Damian McGuckin <damianm@....com.au> [2019-03-17 22:41:53 +1100]:
> ATANH(x) From .. To WORST ERROR % ERROR>EPS/2 MEAN ERROR
>
> Improved:0.00000..0.00012 0.04027*EPS 0.00000% 0.00301*EPS
> Original:0.00000..0.00012 0.99741*EPS 0.39818% 0.00581*EPS
>
> Improved:0.00012..0.00100 0.66667*EPS 8.86075% 0.21559*EPS
> Original:0.00012..0.00100 0.95814*EPS 7.42942% 0.21211*EPS
>
> Improved:0.00100..0.17157 0.55526*EPS 0.00605% 0.17453*EPS
> Original:0.00100..0.17157 1.09363*EPS 8.51956% 0.23306*EPS
>
> Improved:0.17157..0.18248 0.63539*EPS 0.41833% 0.18648*EPS
> Original:0.17157..0.18248 1.07990*EPS 5.23646% 0.21706*EPS
>
> Improved:0.18248..0.26667 0.83800*EPS 2.10627% 0.18376*EPS
> Original:0.18248..0.26667 1.12385*EPS 8.71681% 0.23764*EPS
>
> Improved:0.26667..0.55000 0.90005*EPS 3.97403% 0.20866*EPS
> Original:0.26667..0.55000 1.12779*EPS 9.27245% 0.24201*EPS
>
> Improved:0.55000..1.00000 0.68372*EPS 1.39651% 0.19197*EPS
> Original:0.55000..1.00000 0.68372*EPS 1.40897% 0.19207*EPS
>
> Does this sort of gain make it worthwhile pursing a double version?
if you improve accuracy without performance loss that sounds
useful, but i cannot comment on it without seeing the patch.
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