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.\" ========================================================================
.\"
.IX Title "erfi 3"
.TH erfi 3 "2013-03-11" "perl v5.14.2" "libcerf manual"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
.if n .ad l
.nh
.SH "NAME"
cerfi, erfi \- imaginary error function
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
\&\fB#include <cerf.h\fR>
.PP
\&\fBdouble _Complex cerfi ( double _Complex z );\fR
.PP
\&\fBdouble          erfi  ( double x );\fR
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
The function \fBcerfi\fR returns an error function rotated in the complex plane,
erfi(z) = \-i erf(iz).
.PP
The function \fBerfi\fR takes a real argument and returns a real result.
.SH "RESOURCES"
.IX Header "RESOURCES"
Project web site: http://apps.jcns.fz\-juelich.de/libcerf
.SH "REFERENCES"
.IX Header "REFERENCES"
The implementation of \fBcerfi\fR and \fBerfi\fR is trivially based on the functions
\&\fBcerf\fR and \fBim_w_of_x\fR.
.SH "BUG REPORTS"
.IX Header "BUG REPORTS"
Please report bugs to the authors.
.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.
.SH "SEE ALSO"
.IX Header "SEE ALSO"
Related complex error functions in liberfc:
.PP
\&\fB\f(BIw_of_z\fB\|(3)\fR, \fB\f(BIdawson\fB\|(3)\fR, \fB\f(BIvoigt\fB\|(3)\fR, \fB\f(BIcerf\fB\|(3)\fR, \fB\f(BIerfcx\fB\|(3)\fR.
.PP
The real error function comes with recent versions of glibc, as requested by the C99 standard:
.PP
\&\fB\f(BIerf\fB\|(3)\fR
.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.