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Message-ID:  <2765BA91-3C64-4FD2-8FA9-258B7B0A182C@gmx.at>
Date:         Sat, 11 Mar 2017 18:40:17 +0100
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From: Benedikt Vitecek <b.vitecek@GMX.AT>
Subject: Re: Two more (simple) functions for l3fp
To: LATEX-L@LISTSERV.UNI-HEIDELBERG.DE
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> 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

  =E2=80=9ENumerical Recipes: The art of Scientific Computing=E2=80=9C =
(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=

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<html><body style=3D"word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space;" class=3D""><blockquote =
type=3D"cite" class=3D"" style=3D"font-size: 15px;"><span =
style=3D"font-size: 20px;" class=3D"">Concerning Gamma, the main reason =
I haven't implemented it yet is that</span><br class=3D"" =
style=3D"font-size: 20px;"><span style=3D"font-size: 20px;" class=3D"">it =
requires determining some magic constants that were only given to =
me</span><br class=3D"" style=3D"font-size: 20px;"><span =
style=3D"font-size: 20px;" class=3D"">for a lower precision than what I =
need (10 digits instead of 16).</span><br class=3D""></blockquote><br =
style=3D"font-size: 15px;" class=3D""><div style=3D"font-size: 19px;" =
class=3D"">For the Gamma function the book</div><div style=3D"font-size: =
19px;" class=3D""><br class=3D""></div><div class=3D""><span =
style=3D"font-size: 19px;" class=3D"">&nbsp;&nbsp;=E2=80=9ENumerical =
Recipes: The art of Scientific Computing=E2=80=9C (3rd =
edition);</span></div><div class=3D""><span style=3D"font-size: 19px;" =
class=3D"">&nbsp;&nbsp;William H. Press,&nbsp;Saul A. =
Teukolsky,&nbsp;William T. Vetterling,&nbsp;Brian P. =
Flannery;</span></div><div class=3D""><span style=3D"font-size: 19px;" =
class=3D"">&nbsp; Cambridge University Press</span></div><div =
class=3D""><span style=3D"font-size: 19px;" class=3D""><br =
class=3D""></span></div><div class=3D""><span style=3D"font-size: 19px;" =
class=3D"">might be&nbsp;of interest as it describes the implementation =
of a Gamma function with error smaller than &lt; 1e-15.</span></div><div =
class=3D""><span style=3D"font-size: 19px;" class=3D""><br =
class=3D""></span></div><div class=3D""><span style=3D"font-size: 19px;" =
class=3D"">Ben</span></div></body></html>=

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