📄 gsl_sf_psi.h
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/* 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_sf_result.h"#include "gsl_types.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 */GSL_EXPORT int gsl_sf_psi_int_e(const int n, gsl_sf_result * result);GSL_EXPORT 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 */GSL_EXPORT int gsl_sf_psi_e(const double x, gsl_sf_result * result);GSL_EXPORT double gsl_sf_psi(const double x);/* Di-Gamma Function Re[psi(1 + I y)] * * exceptions: none */GSL_EXPORT int gsl_sf_psi_1piy_e(const double y, gsl_sf_result * result);GSL_EXPORT double gsl_sf_psi_1piy(const double y);/* Tri-Gamma Function psi^(1)(n) * * n > 0 * exceptions: GSL_EDOM */GSL_EXPORT int gsl_sf_psi_1_int_e(const int n, gsl_sf_result * result);GSL_EXPORT 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 */GSL_EXPORT int gsl_sf_psi_1_e(const double x, gsl_sf_result * result);GSL_EXPORT double gsl_sf_psi_1(const double x);/* Poly-Gamma Function psi^(n)(x) * * n >= 0, x > 0.0 * exceptions: GSL_EDOM */GSL_EXPORT int gsl_sf_psi_n_e(const int n, const double x, gsl_sf_result * result);GSL_EXPORT double gsl_sf_psi_n(const int n, const double x);__END_DECLS#endif /* __GSL_SF_PSI_H__ */
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