wrkdirs::usr:...3::man::erfcx(3) libcerf manual wrkdirs::usr:...3::man::erfcx(3) 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 er- ror 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 rewrit- ten 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 Cheby- shev 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 v5.42.3 2025-10-25 wrkdirs::usr:...3::man::erfcx(3)
NAME | SYNOPSIS | DESCRIPTION | REFERENCES | SEE ALSO | AUTHORS | COPYING
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