cerfcx, erfcx - underflow-compensated complementary error function
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Copyright (c) 2012 Massachusetts Institute of Technology
Copyright (c) 2013 Forschungszentrum Juelich GmbH
Software: MIT License.
This documentation: Creative Commons Attribution Share Alike.
perl v5.38.2 2024-04-22 erfcx(3)
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.
Name
cerfcx, erfcx - underflow-compensated complementary error function
References
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/libcerfSynopsis
#include<cerf.h>
double_Complexcerfcx(double_Complexz);doubleerfcx(doublex);