diff options
Diffstat (limited to 'thirdparty/includes/GSL/gsl/gsl_sf_psi.h')
-rw-r--r-- | thirdparty/includes/GSL/gsl/gsl_sf_psi.h | 113 |
1 files changed, 113 insertions, 0 deletions
diff --git a/thirdparty/includes/GSL/gsl/gsl_sf_psi.h b/thirdparty/includes/GSL/gsl/gsl_sf_psi.h new file mode 100644 index 0000000..ec61179 --- /dev/null +++ b/thirdparty/includes/GSL/gsl/gsl_sf_psi.h @@ -0,0 +1,113 @@ +/* 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 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_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__ */ |