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=pod
=begin html
<link rel="stylesheet" href="podstyle.css" type="text/css" />
=end html
=head1 NAME
cerfcx, erfcx - underflow-compensated complementary error function
=head1 SYNOPSIS
B<#include <cerf.h>>
B<double _Complex cerfcx ( double _Complex z );>
B<double erfcx ( double x );>
=head1 DESCRIPTION
The function B<cerfcx> is an underflow-compensated variant of the complex error function: erfcx(z) = exp(z^2) erfc(z).
The function B<erfcx> takes a real argument and returns a real result.
=head1 REFERENCES
The implementation of B<cerfcx> is a thin wrapper around Faddeeva's
function B<w_of_z>.
The implementation of B<erfcx> is self-contained. It has been entirely rewritten
for libcerf-2.5, and now guarantees a relative accuracy of 2.34e-16 for x < 12.
The piecewise polynomial approximation for intermediate values of |x| is explained
in Wuttke and Kleinknecht, "Code generation for piecewise Chebyshev approximation"
(submitted; preprint available from the authors).
=head1 SEE ALSO
Related complex error functions in liberfc:
B<w_of_z>(3), B<dawson>(3), B<voigt>(3), B<cerf>(3), B<erfi>(3).
The real error function comes with recent versions of glibc, as requested by the C99 standard:
B<erf>(3)
Homepage: http://apps.jcns.fz-juelich.de/libcerf
=head1 AUTHORS
Steven G. Johnson, http://math.mit.edu/~stevenj,
Massachusetts Institute of Technology,
researched the numerics, and implemented the Faddeeva function.
Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich,
reorganized the code into a library, and wrote this man page.
Please report bugs to the authors.
=head1 COPYING
Copyright (c) 2012 Massachusetts Institute of Technology
Copyright (c) 2013 Forschungszentrum Juelich GmbH
Software: MIT License.
This documentation: Creative Commons Attribution Share Alike.
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