| /* specfunc/gsl_sf_psi.h |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 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_PSI_H__ |
| #define __GSL_SF_PSI_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 |
| |
| |
| /* Poly-Gamma Functions |
| * |
| * psi(m,x) := (d/dx)^m psi(0,x) = (d/dx)^{m+1} log(gamma(x)) |
| */ |
| |
| |
| /* Di-Gamma Function psi(n) = psi(0,n) |
| * |
| * n > 0 |
| * exceptions: GSL_EDOM |
| */ |
| int gsl_sf_psi_int_e(const int n, gsl_sf_result * result); |
| double gsl_sf_psi_int(const int n); |
| |
| |
| /* Di-Gamma Function psi(x) = psi(0, x) |
| * |
| * x != 0.0, -1.0, -2.0, ... |
| * exceptions: GSL_EDOM, GSL_ELOSS |
| */ |
| int gsl_sf_psi_e(const double x, gsl_sf_result * result); |
| double gsl_sf_psi(const double x); |
| |
| |
| /* Di-Gamma Function Re[psi(1 + I y)] |
| * |
| * exceptions: none |
| */ |
| int gsl_sf_psi_1piy_e(const double y, gsl_sf_result * result); |
| double gsl_sf_psi_1piy(const double y); |
| |
| |
| /* Di-Gamma Function psi(z) for general complex argument z = x + iy |
| * |
| * exceptions: GSL_EDOM |
| */ |
| int gsl_sf_complex_psi_e( |
| const double x, |
| const double y, |
| gsl_sf_result * result_re, |
| gsl_sf_result * result_im |
| ); |
| |
| |
| /* Tri-Gamma Function psi^(1)(n) |
| * |
| * n > 0 |
| * exceptions: GSL_EDOM |
| */ |
| int gsl_sf_psi_1_int_e(const int n, gsl_sf_result * result); |
| double gsl_sf_psi_1_int(const int n); |
| |
| |
| /* Tri-Gamma Function psi^(1)(x) |
| * |
| * x != 0.0, -1.0, -2.0, ... |
| * exceptions: GSL_EDOM, GSL_ELOSS |
| */ |
| int gsl_sf_psi_1_e(const double x, gsl_sf_result * result); |
| double gsl_sf_psi_1(const double x); |
| |
| |
| /* Poly-Gamma Function psi^(n)(x) |
| * |
| * n >= 0, x > 0.0 |
| * exceptions: GSL_EDOM |
| */ |
| int gsl_sf_psi_n_e(const int n, const double x, gsl_sf_result * result); |
| double gsl_sf_psi_n(const int n, const double x); |
| |
| |
| __END_DECLS |
| |
| #endif /* __GSL_SF_PSI_H__ */ |
