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Message-ID: <alpine.LRH.2.02.1903151222160.13162@key0.esi.com.au>
Date: Fri, 15 Mar 2019 12:24:51 +1100 (AEDT)
From: Damian McGuckin <damianm@....com.au>
To: musl@...ts.openwall.com
Subject: Re: atanhf(x) Slight Accuracy Improvements
On Wed, 13 Mar 2019, Damian McGuckin wrote:
> By tweaking some algebra, this can be made more accurate. A comparison
> of the more accurate version and the original is noted below.
>
> ATANF ... FROM ... TO WORST ERROR % > EPS/2 MEAN ERROR
> --------------------------------------------------------------
> Accurate:0.00000..0.17000 1.00023*EPS 0.76907% 0.01967*EPS
> Accurate:0.17000..0.55000 0.99151*EPS 5.52206% 0.21620*EPS
Sorted for the crucial segment.
More algebraic rearrangement and that 1.00023*EPS drops to 0.6667*EPS.
I will work on the second segment.
Regards - Damian
Pacific Engineering Systems International, 277-279 Broadway, Glebe NSW 2037
Ph:+61-2-8571-0847 .. Fx:+61-2-9692-9623 | unsolicited email not wanted here
Views & opinions here are mine and not those of any past or present employer
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