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Date: Sun, 17 Mar 2019 22:41:53 +1100 (AEDT)
From: Damian McGuckin <damianm@....com.au>
To: musl@...ts.openwall.com
Subject: Re: atanhf(x) Slight Accuracy Improvements
Here is the net nesult for the 32-bit version.
To date, the research has only involved FLT_EVAL_METHOD=0.
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?
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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