cerfcx - underflow-compensated complementary error function
NAME SYNOPSIS DESCRIPTION REFERENCES SEE ALSO AUTHORS COPYINGNAME
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.
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.