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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
* Joachim Wuttke, Forschungszentrum Jülich, 2013
*
* 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)
*/
#ifndef __CERF_H
# define __CERF_H
# ifdef __cplusplus
# include <complex>
typedef std::complex<double> _cerf_cmplx;
# else
# include <complex.h>
# if _WIN32
# error Compilation under C not supported by MSVC (arithmetic operators missing)
# endif
typedef double complex _cerf_cmplx;
# endif
#if _WIN32
# define EXPORT __declspec(dllexport)
# define IMPORT __declspec(dllimport)
#else
# define EXPORT
# define IMPORT
#endif
// compute w(z) = exp(-z^2) erfc(-iz), Faddeeva's scaled complex error function
EXPORT _cerf_cmplx w_of_z(_cerf_cmplx z);
EXPORT double im_w_of_x(double x); // special case Im[w(x)] of real x
EXPORT double re_w_of_z(double x, double y);
EXPORT double im_w_of_z(double x, double y);
// compute erf(z), the error function of complex arguments
EXPORT _cerf_cmplx cerf(_cerf_cmplx z);
// compute erfc(z) = 1 - erf(z), the complementary error function
EXPORT _cerf_cmplx cerfc(_cerf_cmplx z);
// compute erfcx(z) = exp(z^2) erfc(z), an underflow-compensated version of erfc
EXPORT _cerf_cmplx cerfcx(_cerf_cmplx z);
EXPORT double erfcx(double x); // special case for real x
// compute erfi(z) = -i erf(iz), the imaginary error function
EXPORT _cerf_cmplx cerfi(_cerf_cmplx z);
EXPORT double erfi (double x); // special case for real x
// compute dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z), Dawson's integral
EXPORT _cerf_cmplx cdawson(_cerf_cmplx z);
EXPORT double dawson(double x); // special case for real x
// compute voigt(x,...), the convolution of a Gaussian and a Lorentzian
EXPORT double voigt(double x, double sigma, double gamma);
// compute the full width at half maximum of the Voigt function
EXPORT double voigt_hwhm(double sigma, double gamma);
#endif /* __CERF_H__ */
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