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/* specfunc/gsl_sf_erf.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
/* Author: G. Jungman */
#ifndef __GSL_SF_ERF_H__
#define __GSL_SF_ERF_H__
#include <gsl/gsl_sf_result.h>
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
/* Complementary Error Function
* erfc(x) := 2/Sqrt[Pi] Integrate[Exp[-t^2], {t,x,Infinity}]
*
* exceptions: none
*/
int gsl_sf_erfc_e(double x, gsl_sf_result * result);
double gsl_sf_erfc(double x);
/* Log Complementary Error Function
*
* exceptions: none
*/
int gsl_sf_log_erfc_e(double x, gsl_sf_result * result);
double gsl_sf_log_erfc(double x);
/* Error Function
* erf(x) := 2/Sqrt[Pi] Integrate[Exp[-t^2], {t,0,x}]
*
* exceptions: none
*/
int gsl_sf_erf_e(double x, gsl_sf_result * result);
double gsl_sf_erf(double x);
/* Probability functions:
* Z(x) : Abramowitz+Stegun 26.2.1
* Q(x) : Abramowitz+Stegun 26.2.3
*
* exceptions: none
*/
int gsl_sf_erf_Z_e(double x, gsl_sf_result * result);
int gsl_sf_erf_Q_e(double x, gsl_sf_result * result);
double gsl_sf_erf_Z(double x);
double gsl_sf_erf_Q(double x);
/* Hazard function, also known as the inverse Mill's ratio.
*
* H(x) := Z(x)/Q(x)
* = Sqrt[2/Pi] Exp[-x^2 / 2] / Erfc[x/Sqrt[2]]
*
* exceptions: GSL_EUNDRFLW
*/
int gsl_sf_hazard_e(double x, gsl_sf_result * result);
double gsl_sf_hazard(double x);
__END_DECLS
#endif /* __GSL_SF_ERF_H__ */
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