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/* Library libcerf:
* Compute complex error functions, based on a new implementation of
* Faddeeva's w_of_z. Also provide Dawson and Voigt functions.
*
* File cerf.h:
* Declare exported functions.
*
* Copyright:
* (C) 2012 Massachusetts Institute of Technology
* (C) 2013 Forschungszentrum Jülich GmbH
*
* Licence:
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
* Authors:
* Steven G. Johnson, Massachusetts Institute of Technology, 2012, core author
* Joachim Wuttke, Forschungszentrum Jülich, 2013, package maintainer
*
* Website:
* http://apps.jcns.fz-juelich.de/libcerf
*
* Revision history:
* ../CHANGELOG
*
* Man pages:
* w_of_z(3), dawson(3), voigt(3), cerf(3), erfcx(3), erfi(3)
*/
/*
This file is patched by Mojca Miklavec and Hans Hagen for usage in LuaMetaTeX where we use
only C and also want to compile with the Microsoft compiler. So, when updating this library
one has to check for changes. Not that we expect many as this is a rather stable library.
In the other files there are a few macros used that deal with the multiplication and addition
of complex and real numbers. Of course the original code is kept as-is.
*/
# ifndef __CERF_H
# define __CERF_H
# include <complex.h>
# if (_MSC_VER)
# define _cerf_cmplx _Dcomplex
# else
typedef double _Complex _cerf_cmplx;
# endif
# define EXPORT
extern _cerf_cmplx w_of_z (_cerf_cmplx z); /* compute w(z) = exp(-z^2) erfc(-iz), Faddeeva's scaled complex error function */
extern double im_w_of_x (double x); /* special case Im[w(x)] of real x */
extern double re_w_of_z (double x, double y);
extern double im_w_of_z (double x, double y);
extern _cerf_cmplx cerf (_cerf_cmplx z); /* compute erf(z), the error function of complex arguments */
extern _cerf_cmplx cerfc (_cerf_cmplx z); /* compute erfc(z) = 1 - erf(z), the complementary error function */
extern _cerf_cmplx cerfcx (_cerf_cmplx z); /* compute erfcx(z) = exp(z^2) erfc(z), an underflow-compensated version of erfc */
extern double erfcx (double x); /* special case for real x */
extern _cerf_cmplx cerfi (_cerf_cmplx z); /* compute erfi(z) = -i erf(iz), the imaginary error function */
extern double erfi (double x); /* special case for real x */
extern _cerf_cmplx cdawson (_cerf_cmplx z); /* compute dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z), Dawson's integral */
extern double dawson (double x); /* special case for real x */
extern double voigt (double x, double sigma, double gamma); /* compute voigt(x,...), the convolution of a Gaussian and a Lorentzian */
extern double voigt_hwhm (double sigma, double gamma, int *error); /* compute the full width at half maximum of the Voigt function */
extern double cerf_experimental_imw (double x, double y);
extern double cerf_experimental_rew (double x, double y);
#endif
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