erfcx(3) libcerf manual
NAME
cerfcx, erfcx - underflow-compensated complementary error function
SYNOPSIS
#include <cerf.h>
double _Complex cerfcx ( double _Complex z );
double erfcx ( double x );
DESCRIPTION
The function cerfcx is an underflow-compensated variant of the complex
error function: erfcx(z) = exp(z^2) erfc(z).
The function erfcx takes a real argument and returns a real result.
REFERENCES
The implementation of cerfcx is a thin wrapper around Faddeeva's
function w_of_z.
The implementation of 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).
SEE ALSO
Related complex error functions in liberfc: w_of_z(3), dawson(3),
voigt(3), cerf(3), erfi(3).
The real error function comes with recent versions of glibc, as
requested by the C99 standard: erf(3)
Homepage: http://apps.jcns.fz-juelich.de/libcerf
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.
COPYING
Copyright (c) 2012 Massachusetts Institute of Technology
Copyright (c) 2013 Forschungszentrum Juelich GmbH
Software: MIT License.
This documentation: Creative Commons Attribution Share Alike.
perl v5.34.3 2025-08-23 erfcx(3)
libcerf 3.2 - Generated Sat Aug 23 05:57:59 CDT 2025