/usr/include/gsl/gsl_sf_expint.h is in libgsl-dev 2.1+dfsg-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 | /* 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/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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