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author | Sandeep Gupta | 2017-06-21 12:42:02 +0530 |
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committer | Sandeep Gupta | 2017-06-21 12:42:02 +0530 |
commit | 33e4ef72e7f712eb34a0a87e7b45fcca7d08393c (patch) | |
tree | f504c068fe6763f6cf32735e9107cc357c2655a7 /2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_fermi_dirac.h | |
parent | bbd59785a0607149aca4b809d6e43a4b64e2d797 (diff) | |
parent | 0051253bc224286c118c080c79eaed5bf611bd35 (diff) | |
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Updated - Linear Algebra
Diffstat (limited to '2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_fermi_dirac.h')
-rw-r--r-- | 2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_fermi_dirac.h | 126 |
1 files changed, 126 insertions, 0 deletions
diff --git a/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_fermi_dirac.h b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_fermi_dirac.h new file mode 100644 index 00000000..8f708cd2 --- /dev/null +++ b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_fermi_dirac.h @@ -0,0 +1,126 @@ +/* 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__ */ |