libcerf

Package module with aliases.

Modules

erfcx_ module libcerf.erfcx_: Compute erfcx(x) = exp(x^2) erfc(x) function, for real x, using a novel algorithm that is much faster than DERFC of SLATEC. This function is used in the computation of Faddeeva, Dawson, and other complex error functions.
err_fcts module libcerf.err_fcts: Computate Dawson, Voigt, and several error functions, based on erfcx, im_w_of_x, w_of_z as implemented in separate files.
im_w_of_x module libcerf.im_w_of_x: Compute complex error functions, based on a new implementation of Faddeeva's w_of_z. Also provide Dawson and Voigt functions.
testutils module libcerf.testutils: Internal test utilities. Use flags -unittest -debug=libcerf to receive debug info.
w_of_z module libcerf.w_of_z: Computation of Faddeeva's complex scaled error function, w(z) = exp(-z^2) * erfc(-i*z), nameless function (7.1.3) of Abramowitz&Stegun (1964), also known as the plasma dispersion function.

dawson alias dawson = libcerf.err_fcts.cdawson
alias dawson = libcerf.err_fcts.dawson: Alias for libcerf.err_fcts.cdawson and libcerf.err_fcts.dawson.
erf alias erf = libcerf.err_fcts.cerf: Alias for libcerf.err_fcts.cerf.
erfc alias erfc = libcerf.err_fcts.cerf: Alias for libcerf.err_fcts.cerfc.
erfcx alias erfcx = libcerf.err_fcts.cerfcx
alias erfcx = libcerf.erfcx_.erfcx: Alias for libcerf.err_fcts.cerfcx and libcerf.erfcx_.erfcx.
erfi alias erfi = libcerf.err_fcts.cerfi
alias erfi = libcerf.err_fcts.erfi: Alias for libcerf.err_fcts.cerfi and libcerf.err_fcts.erfi.
fadeeva alias fadeeva = libcerf.w_of_z.w_of_z: Alias for libcerf.w_of_z.w_of_z.
fadeevaIm alias fadeevaIm = libcerf.im_w_of_x.im_w_of_x: Alias for libcerf.im_w_of_x.im_w_of_x.
voigt alias voigt = libcerf.err_fcts.voigt: Alias for libcerf.err_fcts.voigt

import std.complex, std.math;
import libcerf;

auto c = erfi(complex(1.0, 0.0));
auto f = erfi(1.0);

assert(fabs((c.re - f)/f) < 1e-13);