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/* gsl_math.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 Gerard Jungman, Brian Gough
*
* 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.
*/
#ifndef __GSL_MATH_H__
#define __GSL_MATH_H__
#include <math.h>
#include <gsl/gsl_sys.h>
#include <gsl/gsl_machine.h>
#include <gsl/gsl_precision.h>
#include <gsl/gsl_nan.h>
#include <gsl/gsl_pow_int.h>
#ifndef M_E
#define M_E 2.71828182845904523536028747135 /* e */
#endif
#ifndef M_LOG2E
#define M_LOG2E 1.44269504088896340735992468100 /* log_2 (e) */
#endif
#ifndef M_LOG10E
#define M_LOG10E 0.43429448190325182765112891892 /* log_10 (e) */
#endif
#ifndef M_SQRT2
#define M_SQRT2 1.41421356237309504880168872421 /* sqrt(2) */
#endif
#ifndef M_SQRT1_2
#define M_SQRT1_2 0.70710678118654752440084436210 /* sqrt(1/2) */
#endif
#ifndef M_SQRT3
#define M_SQRT3 1.73205080756887729352744634151 /* sqrt(3) */
#endif
#ifndef M_PI
#define M_PI 3.14159265358979323846264338328 /* pi */
#endif
#ifndef M_PI_2
#define M_PI_2 1.57079632679489661923132169164 /* pi/2 */
#endif
#ifndef M_PI_4
#define M_PI_4 0.78539816339744830961566084582 /* pi/4 */
#endif
#ifndef M_SQRTPI
#define M_SQRTPI 1.77245385090551602729816748334 /* sqrt(pi) */
#endif
#ifndef M_2_SQRTPI
#define M_2_SQRTPI 1.12837916709551257389615890312 /* 2/sqrt(pi) */
#endif
#ifndef M_1_PI
#define M_1_PI 0.31830988618379067153776752675 /* 1/pi */
#endif
#ifndef M_2_PI
#define M_2_PI 0.63661977236758134307553505349 /* 2/pi */
#endif
#ifndef M_LN10
#define M_LN10 2.30258509299404568401799145468 /* ln(10) */
#endif
#ifndef M_LN2
#define M_LN2 0.69314718055994530941723212146 /* ln(2) */
#endif
#ifndef M_LNPI
#define M_LNPI 1.14472988584940017414342735135 /* ln(pi) */
#endif
#ifndef M_EULER
#define M_EULER 0.57721566490153286060651209008 /* Euler constant */
#endif
#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
/* other needlessly compulsive abstractions */
#define GSL_IS_ODD(n) ((n) & 1)
#define GSL_IS_EVEN(n) (!(GSL_IS_ODD(n)))
#define GSL_SIGN(x) ((x) >= 0.0 ? 1 : -1)
/* Return nonzero if x is a real number, i.e. non NaN or infinite. */
#define GSL_IS_REAL(x) (gsl_finite(x))
/* Define MAX and MIN macros/functions if they don't exist. */
/* plain old macros for general use */
#define GSL_MAX(a,b) ((a) > (b) ? (a) : (b))
#define GSL_MIN(a,b) ((a) < (b) ? (a) : (b))
/* function versions of the above, in case they are needed */
double gsl_max (double a, double b);
double gsl_min (double a, double b);
/* inline-friendly strongly typed versions */
#ifdef HAVE_INLINE
extern inline int GSL_MAX_INT (int a, int b);
extern inline int GSL_MIN_INT (int a, int b);
extern inline double GSL_MAX_DBL (double a, double b);
extern inline double GSL_MIN_DBL (double a, double b);
extern inline long double GSL_MAX_LDBL (long double a, long double b);
extern inline long double GSL_MIN_LDBL (long double a, long double b);
extern inline int
GSL_MAX_INT (int a, int b)
{
return GSL_MAX (a, b);
}
extern inline int
GSL_MIN_INT (int a, int b)
{
return GSL_MIN (a, b);
}
extern inline double
GSL_MAX_DBL (double a, double b)
{
return GSL_MAX (a, b);
}
extern inline double
GSL_MIN_DBL (double a, double b)
{
return GSL_MIN (a, b);
}
extern inline long double
GSL_MAX_LDBL (long double a, long double b)
{
return GSL_MAX (a, b);
}
extern inline long double
GSL_MIN_LDBL (long double a, long double b)
{
return GSL_MIN (a, b);
}
#else
#define GSL_MAX_INT(a,b) GSL_MAX(a,b)
#define GSL_MIN_INT(a,b) GSL_MIN(a,b)
#define GSL_MAX_DBL(a,b) GSL_MAX(a,b)
#define GSL_MIN_DBL(a,b) GSL_MIN(a,b)
#define GSL_MAX_LDBL(a,b) GSL_MAX(a,b)
#define GSL_MIN_LDBL(a,b) GSL_MIN(a,b)
#endif /* HAVE_INLINE */
/* Definition of an arbitrary function with parameters */
struct gsl_function_struct
{
double (* function) (double x, void * params);
void * params;
};
typedef struct gsl_function_struct gsl_function ;
#define GSL_FN_EVAL(F,x) (*((F)->function))(x,(F)->params)
/* Definition of an arbitrary function returning two values, r1, r2 */
struct gsl_function_fdf_struct
{
double (* f) (double x, void * params);
double (* df) (double x, void * params);
void (* fdf) (double x, void * params, double * f, double * df);
void * params;
};
typedef struct gsl_function_fdf_struct gsl_function_fdf ;
#define GSL_FN_FDF_EVAL_F(FDF,x) (*((FDF)->f))(x,(FDF)->params)
#define GSL_FN_FDF_EVAL_DF(FDF,x) (*((FDF)->df))(x,(FDF)->params)
#define GSL_FN_FDF_EVAL_F_DF(FDF,x,y,dy) (*((FDF)->fdf))(x,(FDF)->params,(y),(dy))
/* Definition of an arbitrary vector-valued function with parameters */
struct gsl_function_vec_struct
{
int (* function) (double x, double y[], void * params);
void * params;
};
typedef struct gsl_function_vec_struct gsl_function_vec ;
#define GSL_FN_VEC_EVAL(F,x,y) (*((F)->function))(x,y,(F)->params)
__END_DECLS
#endif /* __GSL_MATH_H__ */
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