From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: (qmail 5846 invoked by alias); 21 Jun 2009 20:31:54 -0000 Received: (qmail 5838 invoked by uid 22791); 21 Jun 2009 20:31:54 -0000 X-SWARE-Spam-Status: No, hits=-1.6 required=5.0 tests=AWL,BAYES_00,SARE_MSGID_LONG40,SPF_PASS X-Spam-Check-By: sourceware.org Received: from mail-ew0-f228.google.com (HELO mail-ew0-f228.google.com) (209.85.219.228) by sourceware.org (qpsmtpd/0.43rc1) with ESMTP; Sun, 21 Jun 2009 20:31:49 +0000 Received: by ewy28 with SMTP id 28so4161796ewy.24 for ; Sun, 21 Jun 2009 13:31:45 -0700 (PDT) MIME-Version: 1.0 Received: by 10.216.21.205 with SMTP id r55mr1932344wer.175.1245616304138; Sun, 21 Jun 2009 13:31:44 -0700 (PDT) In-Reply-To: <4a00655d0906211327x742b7224of110fa0621fbbad9@mail.gmail.com> References: <4a00655d0906211327x742b7224of110fa0621fbbad9@mail.gmail.com> From: Rhys Ulerich Date: Sun, 21 Jun 2009 20:31:00 -0000 Message-ID: <4a00655d0906211331y127e5693uda4805cf347561b3@mail.gmail.com> Subject: [PATCH] Adding fixed-order Gauss-Legendre integration routines To: gsl-discuss@sourceware.org Content-Type: multipart/mixed; boundary=0016364ed14c55abba046ce1a52e Mailing-List: contact gsl-discuss-help@sourceware.org; run by ezmlm Precedence: bulk List-Id: List-Subscribe: List-Archive: List-Post: List-Help: , Sender: gsl-discuss-owner@sourceware.org X-SW-Source: 2009-q2/txt/msg00027.txt.bz2 --0016364ed14c55abba046ce1a52e Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable Content-length: 1154 Hi all, Attached is a gzipped patch that adds fixed-order Gauss-Legendre quadrature to the numerical integration routines. =A0This is work by Pavel Holoborodko (http://www.holoborodko.com/pavel/?page_id=3D679) which I have modified to fit GSL conventions. =A0The routines include precomputed full double precision points and weights for n =3D 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 32, 64, 96, 100, 128, 256, 512, and 1024 Gauss points. =A0If the user selects any other number, the necessary points and weights are computed on the fly and remain quite good. =A0Documentation and unit tests are provided. =A0Functions/structs live under the name gsl_integration_glfixed* One might justly ask why include this code when gsl_integration_qng already provides non-adaptive Gauss-Kronrod rules. =A0For integrands with known polynomial order, it is possible to cut down the number of evaluations required when using these routines. Would love to hear feedback, Rhys P.S. Sorry about the patch size. =A0It's a bit hefty from coefficients and trailing whitespace elimination in the documentation and integration unit tests files. --0016364ed14c55abba046ce1a52e Content-Type: application/x-gzip; name="0001-Added-gsl_integration_glfixed-routines.patch.gz" Content-Disposition: attachment; filename="0001-Added-gsl_integration_glfixed-routines.patch.gz" Content-Transfer-Encoding: base64 X-Attachment-Id: f_fw87pcxg1 Content-length: 77812 H4sICKKSPkoAAzAwMDEtQWRkZWQtZ3NsX2ludGVncmF0aW9uX2dsZml4ZWQt cm91dGluZXMucGF0Y2gA1DzbdttGks+Lr+gHP1AmQREkRYqaZFaKLNmaOLKj y/rkjGKdBtAgMQLQMBrQJQrn27equgECvOjiyT6sjkMSjb5U172qq3OcyZjt uIPJ7rgfTEaj0a4f7I69idMfDnc53x31eq7rDPueCCYe+0Um7FykzBmzXm+P /rF+r+dYxzDNHjubPSh2GYks9GbshwyeuoV+2p/GPIy6noz/br3judhj50XS YX2H/aNIcIoJc4Z7w/Feb8Ts3k6vZ50X7r+El++xf34+uDj88Ds78H3hs6mK rsMkF9OM56FMrqdREN5DeyaLPEyEsizdT7fKzBcZe88LpeyPYioSPxPsW8F9 GF3Az7swn1mzcDpjaSa8UMGM7E7Ac66YyxXOkLB8Bh1ldsNkYH3mtyJiH2Qk 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