/* specfunc/gsl_sf_trig.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_TRIG_H__

#define __GSL_SF_TRIG_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

/* Sin(x) with GSL semantics. This is actually important

 * because we want to control the error estimate, and trying

 * to guess the error for the standard library implementation

 * every time it is used would be a little goofy.

 */

int gsl_sf_sin_e(double x, gsl_sf_result * result);

double gsl_sf_sin(const double x);

/* Cos(x) with GSL semantics.

 */

int gsl_sf_cos_e(double x, gsl_sf_result * result);

double gsl_sf_cos(const double x);

/* Hypot(x,y) with GSL semantics.

 */

int gsl_sf_hypot_e(const double x, const double y, gsl_sf_result * result);

double gsl_sf_hypot(const double x, const double y);

/* Sin(z) for complex z

 *

 * exceptions: GSL_EOVRFLW

 */

int gsl_sf_complex_sin_e(const double zr, const double zi, gsl_sf_result * szr, gsl_sf_result * szi);

/* Cos(z) for complex z

 *

 * exceptions: GSL_EOVRFLW

 */

int gsl_sf_complex_cos_e(const double zr, const double zi, gsl_sf_result * czr, gsl_sf_result * czi);

/* Log(Sin(z)) for complex z

 *

 * exceptions: GSL_EDOM, GSL_ELOSS

 */

int gsl_sf_complex_logsin_e(const double zr, const double zi, gsl_sf_result * lszr, gsl_sf_result * lszi);

/* Sinc(x) = sin(pi x) / (pi x)

 *

 * exceptions: none

 */

int gsl_sf_sinc_e(double x, gsl_sf_result * result);

double gsl_sf_sinc(const double x);

/* Log(Sinh(x)), x > 0

 *

 * exceptions: GSL_EDOM

 */

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

double gsl_sf_lnsinh(const double x);

/* Log(Cosh(x))

 *

 * exceptions: none

 */

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

double gsl_sf_lncosh(const double x);

/* Convert polar to rectlinear coordinates.

 *

 * exceptions: GSL_ELOSS

 */

int gsl_sf_polar_to_rect(const double r, const double theta, gsl_sf_result * x, gsl_sf_result * y);

/* Convert rectilinear to polar coordinates.

 * return argument in range [-pi, pi]

 *

 * exceptions: GSL_EDOM

 */

int gsl_sf_rect_to_polar(const double x, const double y, gsl_sf_result * r, gsl_sf_result * theta);

/* Sin(x) for quantity with an associated error.

 */

int gsl_sf_sin_err_e(const double x, const double dx, gsl_sf_result * result);

/* Cos(x) for quantity with an associated error.

 */

int gsl_sf_cos_err_e(const double x, const double dx, gsl_sf_result * result);

/* Force an angle to lie in the range (-pi,pi].

 *

 * exceptions: GSL_ELOSS

 */

int gsl_sf_angle_restrict_symm_e(double * theta);

double gsl_sf_angle_restrict_symm(const double theta);

/* Force an angle to lie in the range [0, 2pi)

 *

 * exceptions: GSL_ELOSS

 */

int gsl_sf_angle_restrict_pos_e(double * theta);

double gsl_sf_angle_restrict_pos(const double theta);

int gsl_sf_angle_restrict_symm_err_e(const double theta, gsl_sf_result * result);

int gsl_sf_angle_restrict_pos_err_e(const double theta, gsl_sf_result * result);

__END_DECLS

#endif /* __GSL_SF_TRIG_H__ */