/* specfunc/gsl_sf_fermi_dirac.h

 * 

 * Copyright (C) 1996, 1997, 1998, 1999, 2000 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_FERMI_DIRAC_H__

#define __GSL_SF_FERMI_DIRAC_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

/* Complete Fermi-Dirac Integrals:

 *

 *  F_j(x)   := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,0,Infinity}]

 *

 *

 * Incomplete Fermi-Dirac Integrals:

 *

 *  F_j(x,b) := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,b,Infinity}]

 */

/* Complete integral F_{-1}(x) = e^x / (1 + e^x)

 *

 * exceptions: GSL_EUNDRFLW

 */

int     gsl_sf_fermi_dirac_m1_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_m1(const double x);

/* Complete integral F_0(x) = ln(1 + e^x)

 *

 * exceptions: GSL_EUNDRFLW

 */

int     gsl_sf_fermi_dirac_0_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_0(const double x);

/* Complete integral F_1(x)

 *

 * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW

 */

int     gsl_sf_fermi_dirac_1_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_1(const double x);

/* Complete integral F_2(x)

 *

 * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW

 */

int     gsl_sf_fermi_dirac_2_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_2(const double x);

/* Complete integral F_j(x)

 * for integer j

 *

 * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW

 */

int     gsl_sf_fermi_dirac_int_e(const int j, const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_int(const int j, const double x);

/* Complete integral F_{-1/2}(x)

 *

 * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW

 */

int     gsl_sf_fermi_dirac_mhalf_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_mhalf(const double x);

/* Complete integral F_{1/2}(x)

 *

 * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW

 */

int     gsl_sf_fermi_dirac_half_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_half(const double x);

/* Complete integral F_{3/2}(x)

 *

 * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW

 */

int     gsl_sf_fermi_dirac_3half_e(const double x, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_3half(const double x);

/* Incomplete integral F_0(x,b) = ln(1 + e^(b-x)) - (b-x)

 *

 * exceptions: GSL_EUNDRFLW, GSL_EDOM

 */

int     gsl_sf_fermi_dirac_inc_0_e(const double x, const double b, gsl_sf_result * result);

double     gsl_sf_fermi_dirac_inc_0(const double x, const double b);

__END_DECLS

#endif /* __GSL_SF_FERMI_DIRAC_H__ */