diff options
Diffstat (limited to '2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_zeta.h')
-rw-r--r-- | 2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_zeta.h | 112 |
1 files changed, 112 insertions, 0 deletions
diff --git a/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_zeta.h b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_zeta.h new file mode 100644 index 00000000..2d7fad0a --- /dev/null +++ b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_zeta.h @@ -0,0 +1,112 @@ +/* specfunc/gsl_sf_zeta.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_ZETA_H__ +#define __GSL_SF_ZETA_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 + + +/* Riemann Zeta Function + * zeta(n) = Sum[ k^(-n), {k,1,Infinity} ] + * + * n=integer, n != 1 + * exceptions: GSL_EDOM, GSL_EOVRFLW + */ +int gsl_sf_zeta_int_e(const int n, gsl_sf_result * result); +double gsl_sf_zeta_int(const int n); + + +/* Riemann Zeta Function + * zeta(x) = Sum[ k^(-s), {k,1,Infinity} ], s != 1.0 + * + * s != 1.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW + */ +int gsl_sf_zeta_e(const double s, gsl_sf_result * result); +double gsl_sf_zeta(const double s); + + +/* Riemann Zeta Function minus 1 + * useful for evaluating the fractional part + * of Riemann zeta for large argument + * + * s != 1.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW + */ +int gsl_sf_zetam1_e(const double s, gsl_sf_result * result); +double gsl_sf_zetam1(const double s); + + +/* Riemann Zeta Function minus 1 for integer arg + * useful for evaluating the fractional part + * of Riemann zeta for large argument + * + * s != 1.0 + * exceptions: GSL_EDOM, GSL_EOVRFLW + */ +int gsl_sf_zetam1_int_e(const int s, gsl_sf_result * result); +double gsl_sf_zetam1_int(const int s); + + +/* Hurwitz Zeta Function + * zeta(s,q) = Sum[ (k+q)^(-s), {k,0,Infinity} ] + * + * s > 1.0, q > 0.0 + * exceptions: GSL_EDOM, GSL_EUNDRFLW, GSL_EOVRFLW + */ +int gsl_sf_hzeta_e(const double s, const double q, gsl_sf_result * result); +double gsl_sf_hzeta(const double s, const double q); + + +/* Eta Function + * eta(n) = (1-2^(1-n)) zeta(n) + * + * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW + */ +int gsl_sf_eta_int_e(int n, gsl_sf_result * result); +double gsl_sf_eta_int(const int n); + + +/* Eta Function + * eta(s) = (1-2^(1-s)) zeta(s) + * + * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW + */ +int gsl_sf_eta_e(const double s, gsl_sf_result * result); +double gsl_sf_eta(const double s); + + +__END_DECLS + +#endif /* __GSL_SF_ZETA_H__ */ |