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[140.180.253.59]) by smtp.gmail.com with ESMTPSA id v4sm12154114qtg.0.2017.03.13.06.52.26 for (version=TLS1_2 cipher=ECDHE-RSA-AES128-GCM-SHA256 bits=128/128); Mon, 13 Mar 2017 06:52:26 -0700 (PDT) References: <58C1DA5F.8010109@clear.net.nz> <1b5ec418-2f2d-d39d-af53-a8921d3e8176@gmail.com> <13FBD58A-EF8A-49BD-A9C7-C7DC66A2479D@icloud.com> <2765BA91-3C64-4FD2-8FA9-258B7B0A182C@gmx.at> X-Enigmail-Draft-Status: N1110 User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:45.0) Gecko/20100101 Thunderbird/45.7.0 MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8 Message-ID: <78f6e5ac-e5ef-d9c3-18c2-645ababd9744@gmail.com> Date: Mon, 13 Mar 2017 09:52:26 -0400 Reply-To: Mailing list for the LaTeX3 project Sender: Mailing list for the LaTeX3 project From: Bruno Le Floch Subject: Re: Two more (simple) functions for l3fp To: LATEX-L@LISTSERV.UNI-HEIDELBERG.DE In-Reply-To: <2765BA91-3C64-4FD2-8FA9-258B7B0A182C@gmx.at> Precedence: list List-Help: , List-Unsubscribe: List-Subscribe: List-Owner: List-Archive: X-MIME-Autoconverted: from 8bit to quoted-printable by relay2.uni-heidelberg.de id v2DDqX2f013788 Envelope-To: X-GMX-Antispam: 0 (Mail was not recognized as spam); Detail=V3; X-GMX-Antivirus: 0 (no virus found) X-UI-Filterresults: notjunk:1;V01:K0:fIEhfNy6/tA=:KeXkcBnXwdc/IoPkm6GZZnzWfc K3fakeT+NTHdOTGgyC/lAqfH7vKAa2i2v52Vyjr+6jFIv9/XJKbnWgy2QKSXHACR9qajZPH3m DXNzEQOAo2cRbP+me44GRpXkyXfJU7KERcKDnF+JCdgBjVfwRNXw5USHmY8R9GMKSSrKweZtk ozCJrjKfjdyYcQfwYjNAprLJacLFrTu9VSZOaF00NJmNvdS+6tBE9XBnJjDaTUmqWhl071AKU 67XkM5cI96bdubIdsUn8l29N1KT7eomLG0JRzkkAY/9m4lrjJDzro+ay7+ROzsdd+H86EZ7/w 9OV5XII/wSxP5DWCAhoe2DA+cn5twvkkNKoBfo5KiuQ+pPECD6UWZ1RjD/2Tvl8aswnMO+0Q6 Zh7+6MCt60E/yWd2fIFu7eyWKgLwOfrzu3SbTjSzNd3NJAro8Gps4aum854Eh4hmHsgwt0gX3 VJUqBXsm115hkKbdhTt/xytyp/U5LNj0ueSWnMGoovSNjgY9V6yqEHiTNN0BXi6+EiOtwxJ5j e94KmUA6Rq2mcX5aMsA7EqOyM8kiT0rEPSJVi6LGGpZUjMLm5MecwGf4qL3oQWgH/tkdqXy0V +jX9e4EJwBmzHK3EXKtemhCA4oN0/JB0FccBNvn5ebgMs0hLIqB4h4w7QEyNzLItQgKwkvFJi EW/vowH3297uFHstmGCcppZej6DtGkwvLUoiGq+AOMY4q2bemcdh/UvkjGSOyag4p6Kw8NRVl oKYkjv2DnmUE6l77PBgcXeZgzHWnTLF71vSSYfNx3I3HBDMgT5YCCLI2ZVSU/2mPsyylu6tIB oi0mrvNeZetpnmTdF3yaxNt6Cpto1LxXwJNZak7YtYaA+f+8aHlteuWi5J3a34SjxuoL8ATtc 2w2qZ9FmiKu/4MpKCm447OM2qLVH3fQqLec01XQNBucllIXkkAGJZv5+wk4qGiQKLv70yUj+X iOV14aVCKkEtg0Dr3gun8XphJlvUIuR/fj+PP7lpI2rUgPhaw+ckg23UsNfC5Bc8g0tp0vm6J xUZ6Ib2l6go+z4aiB3dZ4Il/TyVWSMMHF/7MjzUclFVuYu/70xvLEbAdevzI371diRY9oCfYn L9Laxkgaa9ohWDkzvobNWTTl8gs6/AtlbzzxllKtmQRCuoilHn435mN3kPBZukU0Xr8UT+OeJ hJb7zC9BuBkIsPBtnYmxOwJLQ/vFankuYV4fqAV2IBLa/SKp3aLptvCTtEGuAx8PJVlKA0m5a zpKXXMhLFlYVJ0fKPpn9BWdVKtdGnFB3/+FLd1L+wsC4+O38xAZujPuFTEQun1tBlcjvA/4d+ tnXvIHF9SLV2+bYD/xTyQyPBRv8r84IOfbgMTKqWyKEkEEKQvLJNFy6pDALa47mBCSXjqD3pK yfVjjT4ZHZYAQEQEi2vioVMWgolfSNAPo3UBL+HdQUxF8DvkGUVMnPboECr9MC4xD+HG0poQ7 f1DmXcl3zSToDW4aqUzfovJ5eEm/s05s0/B1dPDg1n9HK9grIIky0gDuFE18xfLlid2ArD6Tg Ytf67LaW7Qe8GuauMe/O7in5P17Y5NT73XSqh2lJyfagI0xLwOciM58cbmzujuFf5XC0m0wgD LdRspc4JYgZR5c4I+oj5jDwmnKVtTnAjNZus/LdQdvCW8/6ci8PdUnzaDzEiOH0puv3x6uset m3ed/wRJbnRhG8OpEUIeXb5 X-UI-Loop:V01:EOvtmqZdRdk=:39HIdtEbYVXFIWv0LKf7zAdS5AMSbo9O7yU16pSRqvg= X-UI-Out-Filterresults: notjunk:1;V01:K0:G+kBpkHCVQI=:CtUqJ0ykunOG0QJ2glxxEA fxxuC8DJ5im03AurfG9JPCwzTnf+1vZGfVpSeoMkycF5LOty9hT9pH8uLTQZZk6kOg2U+ylZr kTKiUxu//L1vdve7ypOIFcQRXbRCYa2jkhv8Kj0Gpu1gr1AupUZqQxJt1k1M4dZfsGbNBoT+e li1PGYcOCIJb0K5RdiSSZOgG/zMt0R/LMgiujVeZEEQxAnmYf2TotcP5Q6HSFQvN9HKsWfJai 4yOT7C94irqWJ+Y+7fPY5Hj4NZqPI5PpnBoFwY1my/gC6bDCisjikm3Jr1NWi3CJE3A7oEHFb 3lKh6HquD1AWU6/h+/d83GF5Fwj9jlEbNnMUhbQvZKP0dlFGeVS6FxqXTji7FmQWMTbQdClLn fFjCWE8xZeO2syG6Zc8iF9LRrEgvLdKcRT76a/+VuW2rXDnt2/S8ISa5nyJ2bN9spqvDjI5+P 1tEecqYvCWh9A1NNqhMD9MiBErbyO4QNWmPp3tf8lsJR04ijeEE4OG3gxHN3EXBPEK7YeSt1L jvrPba8SsENo8PaYROoCkyJw0TFdJjefSibyPgl/eaM X-Scanned-By: MIMEDefang 2.71 on 85.214.41.38 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by h1439878.stratoserver.net id v2DDsGAp016070 Status: R X-Status: X-Keywords: X-UID: 7953 On 03/11/2017 12:40 PM, Benedikt Vitecek wrote: >> Concerning Gamma, the main reason I haven't implemented it yet is that >> it requires determining some magic constants that were only given to me >> for a lower precision than what I need (10 digits instead of 16). > > For the Gamma function the book > > „Numerical Recipes: The art of Scientific Computing“ (3rd edition); > William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. > Flannery; > Cambridge University Press > > might be of interest as it describes the implementation of a Gamma > function with error smaller than < 1e-15. > > Ben Thanks for the precise literature pointer; the book is available in my library (and I found the specific pages on Google books in any case). I'll look into it. Best, Bruno