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.IX Title "build::libcerf::src::libcerf-v2.4::man::erfcx 3"
.TH build::libcerf::src::libcerf-v2.4::man::erfcx 3 "2023-08-02" "perl v5.36.1" "libcerf manual"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
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.SH "NAME"
cerfcx, erfcx \- underflow\-compensated complementary error function
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
\&\fB#include <cerf.h\fR>
.PP
\&\fBdouble _Complex cerfcx ( double _Complex z );\fR
.PP
\&\fBdouble          erfcx  ( double x );\fR
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
The function \fBcerfcx\fR is an underflow-compensated variant of the complex error function: erfcx(z) = exp(z^2) erfc(z).
.PP
The function \fBerfcx\fR takes a real argument and returns a real result.
.SH "REFERENCES"
.IX Header "REFERENCES"
The implementation of \fBcerfcx\fR is a thin wrapper around Faddeeva's
function \fBw_of_z\fR.
.PP
The implementation of \fBerfcx\fR is self-contained, and improves upon the \s-1SLATEC DERFC\s0 function (or an erfcx function derived therefrom) or Cody's \s-1CALERF\s0 function (from netlib.org/specfun), while retaining near machine precision in accuracy.
.SH "SEE ALSO"
.IX Header "SEE ALSO"
Related complex error functions in liberfc:
\&\fBw_of_z\fR(3), \fBdawson\fR(3), \fBvoigt\fR(3), \fBcerf\fR(3), \fBerfi\fR(3).
.PP
The real error function comes with recent versions of glibc, as requested by the C99 standard:
\&\fBerf\fR(3)
.PP
Homepage: http://apps.jcns.fz\-juelich.de/libcerf
.SH "AUTHORS"
.IX Header "AUTHORS"
Steven G. Johnson, http://math.mit.edu/~stevenj,
  Massachusetts Institute of Technology,
  researched the numerics, and implemented the Faddeeva function.
.PP
Joachim Wuttke <j.wuttke@fz\-juelich.de>, Forschungszentrum Juelich,
  reorganized the code into a library, and wrote this man page.
.PP
Please report bugs to the authors.
.SH "COPYING"
.IX Header "COPYING"
Copyright (c) 2012 Massachusetts Institute of Technology
.PP
Copyright (c) 2013 Forschungszentrum Juelich GmbH
.PP
Software: \s-1MIT\s0 License.
.PP
This documentation: Creative Commons Attribution Share Alike.