<?xml version="1.0" ?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>libcerf\ manual</title> <meta http-equiv="content-type" content="text/html; charset=utf-8" /> <link rev="made" href="mailto:root@localhost" /> </head> <body> <link rel="stylesheet" href="podstyle.css" type="text/css" /> <h1 id="NAME">NAME</h1> <p>cerfcx, erfcx - underflow-compensated complementary error function</p> <h1 id="SYNOPSIS">SYNOPSIS</h1> <p><b>#include <cerf.h</b>></p> <p><b>double _Complex cerfcx ( double _Complex z );</b></p> <p><b>double erfcx ( double x );</b></p> <h1 id="DESCRIPTION">DESCRIPTION</h1> <p>The function <b>cerfcx</b> is an underflow-compensated variant of the complex error function: erfcx(z) = exp(z^2) erfc(z).</p> <p>The function <b>erfcx</b> takes a real argument and returns a real result.</p> <h1 id="REFERENCES">REFERENCES</h1> <p>The implementation of <b>cerfcx</b> is a thin wrapper around Faddeeva's function <b>w_of_z</b>.</p> <p>The implementation of <b>erfcx</b> is self-contained, and improves upon the SLATEC DERFC function (or an erfcx function derived therefrom) or Cody's CALERF function (from netlib.org/specfun), while retaining near machine precision in accuracy.</p> <h1 id="SEE-ALSO">SEE ALSO</h1> <p>Related complex error functions in liberfc: <b>w_of_z</b>(3), <b>dawson</b>(3), <b>voigt</b>(3), <b>cerf</b>(3), <b>erfi</b>(3).</p> <p>The real error function comes with recent versions of glibc, as requested by the C99 standard: <b>erf</b>(3)</p> <p>Homepage: http://apps.jcns.fz-juelich.de/libcerf</p> <h1 id="AUTHORS">AUTHORS</h1> <p>Steven G. Johnson, http://math.mit.edu/~stevenj, Massachusetts Institute of Technology, researched the numerics, and implemented the Faddeeva function.</p> <p>Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich, reorganized the code into a library, and wrote this man page.</p> <p>Please report bugs to the authors.</p> <h1 id="COPYING">COPYING</h1> <p>Copyright (c) 2012 Massachusetts Institute of Technology</p> <p>Copyright (c) 2013 Forschungszentrum Juelich GmbH</p> <p>Software: MIT License.</p> <p>This documentation: Creative Commons Attribution Share Alike.</p> </body> </html>
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