From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: (qmail 16030 invoked by alias); 23 Feb 2012 10:03:42 -0000 Received: (qmail 16016 invoked by uid 22791); 23 Feb 2012 10:03:39 -0000 X-SWARE-Spam-Status: No, hits=-2.6 required=5.0 tests=BAYES_00,DKIM_SIGNED,DKIM_VALID,DKIM_VALID_AU,FREEMAIL_FROM,RCVD_IN_DNSWL_LOW,TW_ZF X-Spam-Check-By: sourceware.org Received: from mail-we0-f169.google.com (HELO mail-we0-f169.google.com) (74.125.82.169) by sourceware.org (qpsmtpd/0.43rc1) with ESMTP; Thu, 23 Feb 2012 10:03:22 +0000 Received: by wera13 with SMTP id a13so794423wer.0 for ; Thu, 23 Feb 2012 02:03:20 -0800 (PST) Received-SPF: pass (google.com: domain of frank78ac@googlemail.com designates 10.216.139.69 as permitted sender) client-ip=10.216.139.69; Authentication-Results: mr.google.com; spf=pass (google.com: domain of frank78ac@googlemail.com designates 10.216.139.69 as permitted sender) smtp.mail=frank78ac@googlemail.com; dkim=pass header.i=frank78ac@googlemail.com Received: from mr.google.com ([10.216.139.69]) by 10.216.139.69 with SMTP id b47mr410285wej.17.1329991400898 (num_hops = 1); Thu, 23 Feb 2012 02:03:20 -0800 (PST) MIME-Version: 1.0 Received: by 10.216.139.69 with SMTP id b47mr335401wej.17.1329991400848; Thu, 23 Feb 2012 02:03:20 -0800 (PST) Received: by 10.180.18.40 with HTTP; Thu, 23 Feb 2012 02:03:20 -0800 (PST) Date: Thu, 23 Feb 2012 10:03:00 -0000 Message-ID: Subject: Fix for complex tan function if the argument has a large negative imaginary part From: Frank Reininghaus To: gsl-discuss@sourceware.org Content-Type: multipart/mixed; boundary=001636c5b8ca007c0304b99ec1ec 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: 2012-q1/txt/msg00013.txt.bz2 --001636c5b8ca007c0304b99ec1ec Content-Type: text/plain; charset=ISO-8859-1 Content-length: 1303 Hi, I've noticed that the complex tan and cot functions return NaN if the argument z=x+i*y has a large negative imaginary part y, such as y=-1e7. However, the functions should either return -i or i in that case. I noticed that the corresponding hyperbolic functions do not have this problem, so I propose to fix this bug by using tan(z)=-i*tanh(i*z) and using the same algorithm for the calculation of the complex tan and tanh functions, see attached patch. I would also like to add unit tests for that (and also for the complex tan and cot functions for arguments with large positive imaginary part, and also for the complex tanh and coth functions for large real parts). I tried to understand how the Lisp file complex/test.el works and modified it (see the patch). However, it seems that emacs refuses to evaluate the functions for the arguments I've added, it leaves lines like {FN (tan), ARG(-3.45266983001243932001e-04,8.3886080e+06), RES(tan(-3.452669830012439320e-4, 8.388608e6), 60)}, which are then removed by the 'clean' function in test.el and never get written to results.h. Therefore, I've temporarily added the expected results as hardcoded values to results.h. I would appreciate any comments on how to improve this from people who know Lisp better then me. Best regards, Frank --001636c5b8ca007c0304b99ec1ec Content-Type: text/x-patch; charset=US-ASCII; name="gsl_complex_tan.diff" Content-Disposition: attachment; filename="gsl_complex_tan.diff" Content-Transfer-Encoding: base64 X-Attachment-Id: f_gyzmh2og0 Content-length: 22375 PT09IG1vZGlmaWVkIGZpbGUgJ2NvbXBsZXgvbWF0aC5jJwotLS0gY29tcGxl eC9tYXRoLmMJMjAxMC0wNS0wNyAxMTo1MzoyMyArMDAwMAorKysgY29tcGxl eC9tYXRoLmMJMjAxMi0wMi0yMyAwOTo0MDoxNCArMDAwMApAQCAtNDg5LDE0 ICs0ODksMTAgQEAKICAgICB9CiAgIGVsc2UKICAgICB7Ci0gICAgICBkb3Vi bGUgdSA9IGV4cCAoLUkpOwotICAgICAgZG91YmxlIEMgPSAyICogdSAvICgx IC0gcG93ICh1LCAyLjApKTsKLSAgICAgIGRvdWJsZSBEID0gMSArIHBvdyAo Y29zIChSKSwgMi4wKSAqIHBvdyAoQywgMi4wKTsKLQotICAgICAgZG91Ymxl IFMgPSBwb3cgKEMsIDIuMCk7Ci0gICAgICBkb3VibGUgVCA9IDEuMCAvIHRh bmggKEkpOwotCi0gICAgICBHU0xfU0VUX0NPTVBMRVggKCZ6LCAwLjUgKiBz aW4gKDIgKiBSKSAqIFMgLyBELCBUIC8gRCk7CisgICAgICBkb3VibGUgRCA9 IHBvdyAoY29zIChSKSwgMi4wKSArIHBvdyAoc2luaCAoSSksIDIuMCk7Cisg 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