/* specfunc/gsl_sf_airy.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_AIRY_H__

#define __GSL_SF_AIRY_H__

#include <gsl/gsl_mode.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

/* Airy function Ai(x)

 *

 * exceptions: GSL_EUNDRFLW

 */

int gsl_sf_airy_Ai_e(const double x, const gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Ai(const double x, gsl_mode_t mode);

/* Airy function Bi(x)

 *

 * exceptions: GSL_EOVRFLW

 */

int gsl_sf_airy_Bi_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Bi(const double x, gsl_mode_t mode);

/* scaled Ai(x):

 *                     Ai(x)   x < 0

 *   exp(+2/3 x^{3/2}) Ai(x)   x > 0

 *

 * exceptions: none

 */

int gsl_sf_airy_Ai_scaled_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Ai_scaled(const double x, gsl_mode_t mode);

/* scaled Bi(x):

 *                     Bi(x)   x < 0

 *   exp(-2/3 x^{3/2}) Bi(x)   x > 0

 *

 * exceptions: none

 */

int gsl_sf_airy_Bi_scaled_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Bi_scaled(const double x, gsl_mode_t mode);

/* derivative Ai'(x)

 *

 * exceptions: GSL_EUNDRFLW

 */

int gsl_sf_airy_Ai_deriv_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Ai_deriv(const double x, gsl_mode_t mode);

/* derivative Bi'(x)

 *

 * exceptions: GSL_EOVRFLW

 */

int gsl_sf_airy_Bi_deriv_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Bi_deriv(const double x, gsl_mode_t mode);

/* scaled derivative Ai'(x):

 *                     Ai'(x)   x < 0

 *   exp(+2/3 x^{3/2}) Ai'(x)   x > 0

 *

 * exceptions: none

 */

int gsl_sf_airy_Ai_deriv_scaled_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Ai_deriv_scaled(const double x, gsl_mode_t mode);

/* scaled derivative:

 *                     Bi'(x)   x < 0

 *   exp(-2/3 x^{3/2}) Bi'(x)   x > 0

 *

 * exceptions: none

 */

int gsl_sf_airy_Bi_deriv_scaled_e(const double x, gsl_mode_t mode, gsl_sf_result * result);

double gsl_sf_airy_Bi_deriv_scaled(const double x, gsl_mode_t mode);

/* Zeros of Ai(x)

 */

int gsl_sf_airy_zero_Ai_e(unsigned int s, gsl_sf_result * result);

double gsl_sf_airy_zero_Ai(unsigned int s);

/* Zeros of Bi(x)

 */

int gsl_sf_airy_zero_Bi_e(unsigned int s, gsl_sf_result * result);

double gsl_sf_airy_zero_Bi(unsigned int s);

/* Zeros of Ai'(x)

 */

int gsl_sf_airy_zero_Ai_deriv_e(unsigned int s, gsl_sf_result * result);

double gsl_sf_airy_zero_Ai_deriv(unsigned int s);

/* Zeros of Bi'(x)

 */

int gsl_sf_airy_zero_Bi_deriv_e(unsigned int s, gsl_sf_result * result);

double gsl_sf_airy_zero_Bi_deriv(unsigned int s);

__END_DECLS

#endif /* __GSL_SF_AIRY_H__ */