| /* 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 2 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__ */ |
