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Diffstat (limited to 'gsl-1.9/gsl_math.h')
-rw-r--r-- | gsl-1.9/gsl_math.h | 226 |
1 files changed, 226 insertions, 0 deletions
diff --git a/gsl-1.9/gsl_math.h b/gsl-1.9/gsl_math.h new file mode 100644 index 0000000..7f9a391 --- /dev/null +++ b/gsl-1.9/gsl_math.h @@ -0,0 +1,226 @@ +/* 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__ */ |