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- /* specfunc/gsl_sf_expint.h
- *
- * Copyright (C) 2007 Brian Gough
- * 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 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_EXPINT_H__
- #define __GSL_SF_EXPINT_H__
- #include "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_n(x) := Re[ Integrate[ Exp[-xt]/t^n, {t,1,Infinity}] ]
- *
- * x != 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
- int gsl_sf_expint_En_e(const int n, const double x, gsl_sf_result * result);
- double gsl_sf_expint_En(const int n, 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);
- /* E_n_scaled(x) := exp(x) E_n(x)
- *
- * x != 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
- int gsl_sf_expint_En_scaled_e(const int n, const double x, gsl_sf_result * result);
- double gsl_sf_expint_En_scaled(const int n, 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__ */
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