build::libcerf::src::libcerf::man::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) 2013-2025 Forschungszentrum Juelich GmbH

       Software: MIT License.

       This documentation: Creative Commons Attribution Share Alike.

perl v5.42.0                      2025-10-25
                                   build::libcerf::src::libcerf::man::erfcx(3)