cerfcx - Man Page

underflow-compensated complementary error function


#include <cerf.h>

double _Complex cerfcx ( double _Complex z );

double          erfcx  ( double x );


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.


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

The implementation of erfcx 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.

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


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.


Copyright (c) 2012 Massachusetts Institute of Technology

Copyright (c) 2013 Forschungszentrum Juelich GmbH

Software: MIT License.

This documentation: Creative Commons Attribution Share Alike.

Referenced By

cdawson(3), cerf(3), cerfi(3), voigt(3), w_of_z(3).

The man page erfcx(3) is an alias of cerfcx(3).

2023-07-20 perl v5.38.0 libcerf manual