From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.org/gmane.linux.lib.musl.general/13983 Path: news.gmane.org!.POSTED.blaine.gmane.org!not-for-mail From: Damian McGuckin Newsgroups: gmane.linux.lib.musl.general Subject: Re: atanhf(x) Slight Accuracy Improvements Date: Sun, 17 Mar 2019 22:41:53 +1100 (AEDT) Message-ID: References: Reply-To: musl@lists.openwall.com Mime-Version: 1.0 Content-Type: TEXT/PLAIN; format=flowed; charset=US-ASCII Injection-Info: blaine.gmane.org; posting-host="blaine.gmane.org:195.159.176.226"; logging-data="175805"; mail-complaints-to="usenet@blaine.gmane.org" User-Agent: Alpine 2.02 (LRH 1266 2009-07-14) To: musl@lists.openwall.com Original-X-From: musl-return-13999-gllmg-musl=m.gmane.org@lists.openwall.com Sun Mar 17 12:42:19 2019 Return-path: Envelope-to: gllmg-musl@m.gmane.org Original-Received: from mother.openwall.net ([195.42.179.200]) by blaine.gmane.org with smtp (Exim 4.89) (envelope-from ) id 1h5UBE-000jTx-86 for gllmg-musl@m.gmane.org; Sun, 17 Mar 2019 12:42:16 +0100 Original-Received: (qmail 14227 invoked by uid 550); 17 Mar 2019 11:42:11 -0000 Mailing-List: contact musl-help@lists.openwall.com; run by ezmlm Precedence: bulk List-Post: List-Help: List-Unsubscribe: List-Subscribe: List-ID: Original-Received: (qmail 14187 invoked from network); 17 Mar 2019 11:42:09 -0000 X-Authentication-Warning: key0.esi.com.au: damianm owned process doing -bs In-Reply-To: Xref: news.gmane.org gmane.linux.lib.musl.general:13983 Archived-At: 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