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.\" ========================================================================
.\"
.IX Title "cerf 3"
.TH cerf 3 "2023-08-05" "perl v5.36.0" "libcerf manual"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
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.SH "NAME"
cerf, cerfc \- complex error functions
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
\&\fB#include <cerf.h\fR>
.PP
\&\fBdouble _Complex cerf ( double _Complex z );\fR
.PP
\&\fBdouble _Complex cerfc ( double _Complex z );\fR
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
The function \fBcerf\fR is the complex version of the error function: erf(z) = 2/sqrt(pi) * integral from 0 to z of exp(\-t*t) dt.
.PP
The complementary complex error function \fBcerfc\fR is defined as erfc(z) = 1\-cerf(z).
.SH "SEE ALSO"
.IX Header "SEE ALSO"
The computations are based on Faddeeva's function \fB\fBw_of_z\fB\|(3)\fR.
.PP
Other complex error functions in libcerf:
\&\fBw_of_z\fR(3), \fBdawson\fR(3), \fBvoigt\fR(3), \fBerfcx\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.