| 1 | /* specfunc/gsl_sf_clausen.h |
| 2 | * |
| 3 | * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman |
| 4 | * |
| 5 | * This program is free software; you can redistribute it and/or modify |
| 6 | * it under the terms of the GNU General Public License as published by |
| 7 | * the Free Software Foundation; either version 3 of the License, or (at |
| 8 | * your option) any later version. |
| 9 | * |
| 10 | * This program is distributed in the hope that it will be useful, but |
| 11 | * WITHOUT ANY WARRANTY; without even the implied warranty of |
| 12 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 13 | * General Public License for more details. |
| 14 | * |
| 15 | * You should have received a copy of the GNU General Public License |
| 16 | * along with this program; if not, write to the Free Software |
| 17 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
| 18 | */ |
| 19 | |
| 20 | /* Author: G. Jungman */ |
| 21 | |
| 22 | #ifndef __GSL_SF_CLAUSEN_H__ |
| 23 | #define __GSL_SF_CLAUSEN_H__ |
| 24 | |
| 25 | #include <gsl/gsl_sf_result.h> |
| 26 | |
| 27 | #undef __BEGIN_DECLS |
| 28 | #undef __END_DECLS |
| 29 | #ifdef __cplusplus |
| 30 | # define __BEGIN_DECLS extern "C" { |
| 31 | # define __END_DECLS } |
| 32 | #else |
| 33 | # define __BEGIN_DECLS /* empty */ |
| 34 | # define __END_DECLS /* empty */ |
| 35 | #endif |
| 36 | |
| 37 | __BEGIN_DECLS |
| 38 | |
| 39 | |
| 40 | /* Calculate the Clausen integral: |
| 41 | * Cl_2(x) := Integrate[-Log[2 Sin[t/2]], {t,0,x}] |
| 42 | * |
| 43 | * Relation to dilogarithm: |
| 44 | * Cl_2(theta) = Im[ Li_2(e^(i theta)) ] |
| 45 | */ |
| 46 | int gsl_sf_clausen_e(double x, gsl_sf_result * result); |
| 47 | double gsl_sf_clausen(const double x); |
| 48 | |
| 49 | |
| 50 | __END_DECLS |
| 51 | |
| 52 | #endif /* __GSL_SF_CLAUSEN_H__ */ |
| 53 | |