Фаддеева's functions

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Steven G. Johnson 2020-05-14 15:15:42 +03:00 committed by Marek Nečada
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commit 206f8b65a1
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faddeeva/Faddeeva.c Normal file
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/* The Faddeeva.cc file contains macros to let it compile as C code
(assuming C99 complex-number support), so just #include it. */
#include "Faddeeva.cc"

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/* Copyright (c) 2012 Massachusetts Institute of Technology
*
* 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.
*/
/* Available at: http://ab-initio.mit.edu/Faddeeva
Header file for Faddeeva.c; see Faddeeva.cc for more information. */
#ifndef FADDEEVA_H
#define FADDEEVA_H 1
// Require C99 complex-number support
#include <complex.h>
#ifdef __cplusplus
extern "C"
{
#endif /* __cplusplus */
// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
extern double complex Faddeeva_w(double complex z,double relerr);
extern double Faddeeva_w_im(double x); // special-case code for Im[w(x)] of real x
// Various functions that we can compute with the help of w(z)
// compute erfcx(z) = exp(z^2) erfc(z)
extern double complex Faddeeva_erfcx(double complex z, double relerr);
extern double Faddeeva_erfcx_re(double x); // special case for real x
// compute erf(z), the error function of complex arguments
extern double complex Faddeeva_erf(double complex z, double relerr);
extern double Faddeeva_erf_re(double x); // special case for real x
// compute erfi(z) = -i erf(iz), the imaginary error function
extern double complex Faddeeva_erfi(double complex z, double relerr);
extern double Faddeeva_erfi_re(double x); // special case for real x
// compute erfc(z) = 1 - erf(z), the complementary error function
extern double complex Faddeeva_erfc(double complex z, double relerr);
extern double Faddeeva_erfc_re(double x); // special case for real x
// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z)
extern double complex Faddeeva_Dawson(double complex z, double relerr);
extern double Faddeeva_Dawson_re(double x); // special case for real x
#ifdef __cplusplus
}
#endif /* __cplusplus */
#endif // FADDEEVA_H

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/* Copyright (c) 2012 Massachusetts Institute of Technology
*
* 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.
*/
/* Available at: http://ab-initio.mit.edu/Faddeeva
Header file for Faddeeva.cc; see that file for more information. */
#ifndef FADDEEVA_HH
#define FADDEEVA_HH 1
#include <complex>
namespace Faddeeva {
// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
extern std::complex<double> w(std::complex<double> z,double relerr=0);
extern double w_im(double x); // special-case code for Im[w(x)] of real x
// Various functions that we can compute with the help of w(z)
// compute erfcx(z) = exp(z^2) erfc(z)
extern std::complex<double> erfcx(std::complex<double> z, double relerr=0);
extern double erfcx(double x); // special case for real x
// compute erf(z), the error function of complex arguments
extern std::complex<double> erf(std::complex<double> z, double relerr=0);
extern double erf(double x); // special case for real x
// compute erfi(z) = -i erf(iz), the imaginary error function
extern std::complex<double> erfi(std::complex<double> z, double relerr=0);
extern double erfi(double x); // special case for real x
// compute erfc(z) = 1 - erf(z), the complementary error function
extern std::complex<double> erfc(std::complex<double> z, double relerr=0);
extern double erfc(double x); // special case for real x
// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z)
extern std::complex<double> Dawson(std::complex<double> z, double relerr=0);
extern double Dawson(double x); // special case for real x
} // namespace Faddeeva
#endif // FADDEEVA_HH