From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: from mail2-relais-roc.national.inria.fr (mail2-relais-roc.national.inria.fr [192.134.164.83]) by sourceware.org (Postfix) with ESMTPS id 1F218386F81F for ; Fri, 4 Dec 2020 16:18:32 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.3.2 sourceware.org 1F218386F81F Authentication-Results: sourceware.org; dmarc=none (p=none dis=none) header.from=inria.fr Authentication-Results: sourceware.org; spf=pass smtp.mailfrom=Paul.Zimmermann@inria.fr X-IronPort-AV: E=Sophos;i="5.78,393,1599516000"; d="scan'208";a="481198138" Received: from tomate.loria.fr (HELO tomate) ([152.81.10.51]) by mail2-relais-roc.national.inria.fr with ESMTP/TLS/DHE-RSA-AES256-GCM-SHA384; 04 Dec 2020 17:18:31 +0100 Date: Fri, 04 Dec 2020 17:18:31 +0100 Message-Id: From: Paul Zimmermann To: newlib@sourceware.org Subject: Accuracy of Mathematical Functions in Single, Double, and Quadruple Precision X-Spam-Status: No, score=-4.0 required=5.0 tests=BAYES_00, KAM_DMARC_STATUS, RCVD_IN_MSPIKE_H2, SPF_HELO_NONE, SPF_PASS, TXREP autolearn=ham autolearn_force=no version=3.4.2 X-Spam-Checker-Version: SpamAssassin 3.4.2 (2018-09-13) on server2.sourceware.org X-BeenThere: newlib@sourceware.org X-Mailman-Version: 2.1.29 Precedence: list List-Id: Newlib mailing list List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Fri, 04 Dec 2020 16:18:33 -0000 Hi, I have published a new version of my note, including results for double and quadruple precision, and also for bivariate functions (atan2, hypot, pow): https://homepages.loria.fr/PZimmermann/papers/#accuracy Apart from the Bessel functions for which Newlib has large errors (like other libraries except the Intel Math Library), this note shows large errors in Newlib: * for the binary32 lgamma (7.50e6 ulps), tgamma (239 ulps) and pow (169 ulps) functions * for the binary64 lgamma and tgamma functions Best regards, Paul Zimmermann