Julia wrapper for libcerf.

libcerf, a self-contained numeric library that provides an efficient and accurate implementation of complex error functions, along with Dawson, Faddeeva, and Voigt functions.

using Pkg;  Pkg.add("LibCerf")

Or using Pkg REPL mode:

]add LibCerf

Please refer to the documentation for details.

NOTE: erf, erfc, and faddeeva_w only support complex arguments.

• erf(z): Complex error function
• erfc(z): Complementary error function
• erfcx(z), erfcx(x): Underflow-compensated complementary error function
• erfi(z), erfi(x): Imaginary error function

• faddeeva_w(z): Faddeeva's scaled complex error function
• im_w(x): Imaginary part of faddeeva_w(complex(x, 0.0))
• im_w(re, im): Imaginary part of faddeeva_w(complex(re, im))
• re_w(re, im): Real part of faddeeva_w(complex(re, im))

• dawson(z), dawson(x): Dawson's integral

• voigt(x, sigma, gamma): Voigt's convolution of a Gaussian and a Lorentzian
• voigt_hwhm(sigma, gamma): Half width at half maximum of the Voigt profile

• (MIT) JuliaMath/SpecialFunctions.jl: provides a comprehensive collection of special functions based on the OpenSpecFun and OpenLibm libraries.
  For real and complex arguments: erf(z), erfc(z), erfcx(z), erfi(z); faddeeva(z); dawson(z);
  Also note that it also uses the Faddeeva C library.
• (GPL-3.0) JuliaMath/GSL.jl: Julia interface to the GNU Scientific Library (GSL).
  For real arguments ONLY: sf_erf(x), sf_erfc(x); sf_dawson(x)
• (GPL-3.0) markmbaum/Faddeyeva985.jl: Julia implementation of Algorithm 985, a fast, moderate-accuracy approximation of the Faddeyeva (Faddeeva) function.
  faddeyeva(z)

# SPDX-License-Identifier: MIT

This project is licensed under the terms of the MIT license.

NOTE: mlz/libcerf is licensed under the terms of the MIT license