erfcx

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(zˆ2) erfc(z).

The function erfcx takes a real argument and returns a real result.

RESOURCES

Project web site: http://apps.jcns.fz-juelich.de/libcerf

REFERENCES

The implementation of cerfcx is a thin wrapper around Faddeeva’s function w_of_z.

The implementation of ercx is self-contained, and improves upon the SLATEC DERFC function (or an erfcx function derived therefrom) or Cody’s CALERF function (from netlib.org/specfun), while retaining near machine precision in accuracy.

BUG REPORTS

Please report bugs to the authors.

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.

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)

COPYING

Copyright (c) 2012 Massachusetts Institute of Technology

Copyright (c) 2013 Forschungszentrum Juelich GmbH

Software: MIT License.

This documentation: Creative Commons Attribution Share Alike.