| /* specfunc/gsl_sf_expint.h |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002 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_EXPINT_H__ |
| #define __GSL_SF_EXPINT_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 |
| |
| |
| /* E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ] |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_expint_E1_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_E1(const double x); |
| |
| |
| /* E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infinity}] ] |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_expint_E2_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_E2(const double x); |
| |
| |
| /* E_1_scaled(x) := exp(x) E_1(x) |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_expint_E1_scaled_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_E1_scaled(const double x); |
| |
| |
| /* E_2_scaled(x) := exp(x) E_2(x) |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_expint_E2_scaled_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_E2_scaled(const double x); |
| |
| |
| /* Ei(x) := - PV Integrate[ Exp[-t]/t, {t,-x,Infinity}] |
| * := PV Integrate[ Exp[t]/t, {t,-Infinity,x}] |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_expint_Ei_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_Ei(const double x); |
| |
| |
| /* Ei_scaled(x) := exp(-x) Ei(x) |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_expint_Ei_scaled_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_Ei_scaled(const double x); |
| |
| |
| /* Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}] |
| * |
| * exceptions: GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_Shi_e(const double x, gsl_sf_result * result); |
| double gsl_sf_Shi(const double x); |
| |
| |
| /* Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ] |
| * |
| * x != 0.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW |
| */ |
| int gsl_sf_Chi_e(const double x, gsl_sf_result * result); |
| double gsl_sf_Chi(const double x); |
| |
| |
| /* Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}] |
| * |
| * x >= 0.0 |
| * exceptions: GSL_EDOM |
| */ |
| int gsl_sf_expint_3_e(const double x, gsl_sf_result * result); |
| double gsl_sf_expint_3(double x); |
| |
| |
| /* Si(x) := Integrate[ Sin[t]/t, {t,0,x}] |
| * |
| * exceptions: none |
| */ |
| int gsl_sf_Si_e(const double x, gsl_sf_result * result); |
| double gsl_sf_Si(const double x); |
| |
| |
| /* Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}] |
| * |
| * x > 0.0 |
| * exceptions: GSL_EDOM |
| */ |
| int gsl_sf_Ci_e(const double x, gsl_sf_result * result); |
| double gsl_sf_Ci(const double x); |
| |
| |
| /* AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}] |
| * |
| * |
| * exceptions: |
| */ |
| int gsl_sf_atanint_e(const double x, gsl_sf_result * result); |
| double gsl_sf_atanint(const double x); |
| |
| |
| __END_DECLS |
| |
| #endif /* __GSL_SF_EXPINT_H__ */ |