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/* specfunc/gsl_sf_exp.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 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_EXP_H__
#define __GSL_SF_EXP_H__
#include <gsl/gsl_sf_result.h>
#include <gsl/gsl_precision.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
/* Provide an exp() function with GSL semantics,
* i.e. with proper error checking, etc.
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_exp_e(const double x, gsl_sf_result * result);
double gsl_sf_exp(const double x);
/* Exp(x)
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_exp_e10_e(const double x, gsl_sf_result_e10 * result);
/* Exponentiate and multiply by a given factor: y * Exp(x)
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_exp_mult_e(const double x, const double y, gsl_sf_result * result);
double gsl_sf_exp_mult(const double x, const double y);
/* Exponentiate and multiply by a given factor: y * Exp(x)
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_exp_mult_e10_e(const double x, const double y, gsl_sf_result_e10 * result);
/* exp(x)-1
*
* exceptions: GSL_EOVRFLW
*/
int gsl_sf_expm1_e(const double x, gsl_sf_result * result);
double gsl_sf_expm1(const double x);
/* (exp(x)-1)/x = 1 + x/2 + x^2/(2*3) + x^3/(2*3*4) + ...
*
* exceptions: GSL_EOVRFLW
*/
int gsl_sf_exprel_e(const double x, gsl_sf_result * result);
double gsl_sf_exprel(const double x);
/* 2(exp(x)-1-x)/x^2 = 1 + x/3 + x^2/(3*4) + x^3/(3*4*5) + ...
*
* exceptions: GSL_EOVRFLW
*/
int gsl_sf_exprel_2_e(double x, gsl_sf_result * result);
double gsl_sf_exprel_2(const double x);
/* Similarly for the N-th generalization of
* the above. The so-called N-relative exponential
*
* exprel_N(x) = N!/x^N (exp(x) - Sum[x^k/k!, {k,0,N-1}])
* = 1 + x/(N+1) + x^2/((N+1)(N+2)) + ...
* = 1F1(1,1+N,x)
*/
int gsl_sf_exprel_n_e(const int n, const double x, gsl_sf_result * result);
double gsl_sf_exprel_n(const int n, const double x);
/* Exponentiate a quantity with an associated error.
*/
int gsl_sf_exp_err_e(const double x, const double dx, gsl_sf_result * result);
/* Exponentiate a quantity with an associated error.
*/
int gsl_sf_exp_err_e10_e(const double x, const double dx, gsl_sf_result_e10 * result);
/* Exponentiate and multiply by a given factor: y * Exp(x),
* for quantities with associated errors.
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_exp_mult_err_e(const double x, const double dx, const double y, const double dy, gsl_sf_result * result);
/* Exponentiate and multiply by a given factor: y * Exp(x),
* for quantities with associated errors.
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_exp_mult_err_e10_e(const double x, const double dx, const double y, const double dy, gsl_sf_result_e10 * result);
__END_DECLS
#endif /* __GSL_SF_EXP_H__ */
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