679 lines
22 KiB
C
679 lines
22 KiB
C
#ifndef _MATH_H_
|
|
|
|
#define _MATH_H_
|
|
|
|
#include <sys/reent.h>
|
|
#include <sys/cdefs.h>
|
|
#include <machine/ieeefp.h>
|
|
#include "_ansi.h"
|
|
|
|
_BEGIN_STD_C
|
|
|
|
/* __dmath, __fmath, and __ldmath are only here for backwards compatibility
|
|
* in case any code used them. They are no longer used by Newlib, itself,
|
|
* other than legacy. */
|
|
union __dmath
|
|
{
|
|
double d;
|
|
__ULong i[2];
|
|
};
|
|
|
|
union __fmath
|
|
{
|
|
float f;
|
|
__ULong i[1];
|
|
};
|
|
|
|
#if defined(_HAVE_LONG_DOUBLE)
|
|
union __ldmath
|
|
{
|
|
long double ld;
|
|
__ULong i[4];
|
|
};
|
|
#endif
|
|
|
|
/* Natural log of 2 */
|
|
#define _M_LN2 0.693147180559945309417
|
|
|
|
#if __GNUC_PREREQ (3, 3)
|
|
/* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values. */
|
|
|
|
# ifndef HUGE_VAL
|
|
# define HUGE_VAL (__builtin_huge_val())
|
|
# endif
|
|
|
|
# ifndef HUGE_VALF
|
|
# define HUGE_VALF (__builtin_huge_valf())
|
|
# endif
|
|
|
|
# ifndef HUGE_VALL
|
|
# define HUGE_VALL (__builtin_huge_vall())
|
|
# endif
|
|
|
|
# ifndef INFINITY
|
|
# define INFINITY (__builtin_inff())
|
|
# endif
|
|
|
|
# ifndef NAN
|
|
# define NAN (__builtin_nanf(""))
|
|
# endif
|
|
|
|
#else /* !gcc >= 3.3 */
|
|
|
|
/* No builtins. Use fixed defines instead. (All 3 HUGE plus the INFINITY
|
|
* and NAN macros are required to be constant expressions. Using a variable--
|
|
* even a static const--does not meet this requirement, as it cannot be
|
|
* evaluated at translation time.)
|
|
* The infinities are done using numbers that are far in excess of
|
|
* something that would be expected to be encountered in a floating-point
|
|
* implementation. (A more certain way uses values from float.h, but that is
|
|
* avoided because system includes are not supposed to include each other.)
|
|
* This method might produce warnings from some compilers. (It does in
|
|
* newer GCCs, but not for ones that would hit this #else.) If this happens,
|
|
* please report details to the Newlib mailing list. */
|
|
|
|
#ifndef HUGE_VAL
|
|
#define HUGE_VAL (1.0e999999999)
|
|
#endif
|
|
|
|
#ifndef HUGE_VALF
|
|
#define HUGE_VALF (1.0e999999999F)
|
|
#endif
|
|
|
|
#if !defined(HUGE_VALL) && defined(_HAVE_LONG_DOUBLE)
|
|
#define HUGE_VALL (1.0e999999999L)
|
|
#endif
|
|
|
|
#if !defined(INFINITY)
|
|
#define INFINITY (HUGE_VALF)
|
|
#endif
|
|
|
|
#if !defined(NAN)
|
|
#if defined(__GNUC__) && defined(__cplusplus)
|
|
/* Exception: older g++ versions warn about the divide by 0 used in the
|
|
* normal case (even though older gccs do not). This trick suppresses the
|
|
* warning, but causes errors for plain gcc, so is only used in the one
|
|
* special case. */
|
|
static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000};
|
|
#define NAN (__Nanf.__d)
|
|
#else
|
|
#define NAN (0.0F/0.0F)
|
|
#endif
|
|
#endif
|
|
|
|
#endif /* !gcc >= 3.3 */
|
|
|
|
/* Reentrant ANSI C functions. */
|
|
|
|
#ifndef __math_68881
|
|
extern double atan _PARAMS((double));
|
|
extern double cos _PARAMS((double));
|
|
extern double sin _PARAMS((double));
|
|
extern double tan _PARAMS((double));
|
|
extern double tanh _PARAMS((double));
|
|
extern double frexp _PARAMS((double, int *));
|
|
extern double modf _PARAMS((double, double *));
|
|
extern double ceil _PARAMS((double));
|
|
extern double fabs _PARAMS((double));
|
|
extern double floor _PARAMS((double));
|
|
#endif /* ! defined (__math_68881) */
|
|
|
|
/* Non reentrant ANSI C functions. */
|
|
|
|
#ifndef _REENT_ONLY
|
|
#ifndef __math_68881
|
|
extern double acos _PARAMS((double));
|
|
extern double asin _PARAMS((double));
|
|
extern double atan2 _PARAMS((double, double));
|
|
extern double cosh _PARAMS((double));
|
|
extern double sinh _PARAMS((double));
|
|
extern double exp _PARAMS((double));
|
|
extern double ldexp _PARAMS((double, int));
|
|
extern double log _PARAMS((double));
|
|
extern double log10 _PARAMS((double));
|
|
extern double pow _PARAMS((double, double));
|
|
extern double sqrt _PARAMS((double));
|
|
extern double fmod _PARAMS((double, double));
|
|
#endif /* ! defined (__math_68881) */
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
|
|
#if __ISO_C_VISIBLE >= 1999
|
|
/* ISO C99 types and macros. */
|
|
|
|
/* FIXME: FLT_EVAL_METHOD should somehow be gotten from float.h (which is hard,
|
|
* considering that the standard says the includes it defines should not
|
|
* include other includes that it defines) and that value used. (This can be
|
|
* solved, but autoconf has a bug which makes the solution more difficult, so
|
|
* it has been skipped for now.) */
|
|
#if !defined(FLT_EVAL_METHOD) && defined(__FLT_EVAL_METHOD__)
|
|
#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
|
|
#define __TMP_FLT_EVAL_METHOD
|
|
#endif /* FLT_EVAL_METHOD */
|
|
#if defined FLT_EVAL_METHOD
|
|
#if FLT_EVAL_METHOD == 0
|
|
typedef float float_t;
|
|
typedef double double_t;
|
|
#elif FLT_EVAL_METHOD == 1
|
|
typedef double float_t;
|
|
typedef double double_t;
|
|
#elif FLT_EVAL_METHOD == 2
|
|
typedef long double float_t;
|
|
typedef long double double_t;
|
|
#else
|
|
/* Implementation-defined. Assume float_t and double_t have been
|
|
* defined previously for this configuration (e.g. config.h). */
|
|
#endif
|
|
#else
|
|
/* Assume basic definitions. */
|
|
typedef float float_t;
|
|
typedef double double_t;
|
|
#endif
|
|
#if defined(__TMP_FLT_EVAL_METHOD)
|
|
#undef FLT_EVAL_METHOD
|
|
#endif
|
|
|
|
#define FP_NAN 0
|
|
#define FP_INFINITE 1
|
|
#define FP_ZERO 2
|
|
#define FP_SUBNORMAL 3
|
|
#define FP_NORMAL 4
|
|
|
|
#ifndef FP_ILOGB0
|
|
# define FP_ILOGB0 (-INT_MAX)
|
|
#endif
|
|
#ifndef FP_ILOGBNAN
|
|
# define FP_ILOGBNAN INT_MAX
|
|
#endif
|
|
|
|
#ifndef MATH_ERRNO
|
|
# define MATH_ERRNO 1
|
|
#endif
|
|
#ifndef MATH_ERREXCEPT
|
|
# define MATH_ERREXCEPT 2
|
|
#endif
|
|
#ifndef math_errhandling
|
|
# define math_errhandling MATH_ERRNO
|
|
#endif
|
|
|
|
extern int __isinff (float x);
|
|
extern int __isinfd (double x);
|
|
extern int __isnanf (float x);
|
|
extern int __isnand (double x);
|
|
extern int __fpclassifyf (float x);
|
|
extern int __fpclassifyd (double x);
|
|
extern int __signbitf (float x);
|
|
extern int __signbitd (double x);
|
|
|
|
/* Note: isinf and isnan were once functions in newlib that took double
|
|
* arguments. C99 specifies that these names are reserved for macros
|
|
* supporting multiple floating point types. Thus, they are
|
|
* now defined as macros. Implementations of the old functions
|
|
* taking double arguments still exist for compatibility purposes
|
|
* (prototypes for them are in <ieeefp.h>). */
|
|
|
|
#if __GNUC_PREREQ (4, 4)
|
|
#define fpclassify(__x) (__builtin_fpclassify (FP_NAN, FP_INFINITE, \
|
|
FP_NORMAL, FP_SUBNORMAL, \
|
|
FP_ZERO, __x))
|
|
#ifndef isfinite
|
|
#define isfinite(__x) (__builtin_isfinite (__x))
|
|
#endif
|
|
#ifndef isinf
|
|
#define isinf(__x) (__builtin_isinf_sign (__x))
|
|
#endif
|
|
#ifndef isnan
|
|
#define isnan(__x) (__builtin_isnan (__x))
|
|
#endif
|
|
#define isnormal(__x) (__builtin_isnormal (__x))
|
|
#else
|
|
#define fpclassify(__x) \
|
|
((sizeof(__x) == sizeof(float)) ? __fpclassifyf(__x) : \
|
|
__fpclassifyd(__x))
|
|
#ifndef isfinite
|
|
#define isfinite(__y) \
|
|
(__extension__ ({int __cy = fpclassify(__y); \
|
|
__cy != FP_INFINITE && __cy != FP_NAN;}))
|
|
#endif
|
|
#ifndef isinf
|
|
#define isinf(__x) (fpclassify(__x) == FP_INFINITE)
|
|
#endif
|
|
#ifndef isnan
|
|
#define isnan(__x) (fpclassify(__x) == FP_NAN)
|
|
#endif
|
|
#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
|
|
#endif
|
|
|
|
#if __GNUC_PREREQ (4, 0)
|
|
#if defined(_HAVE_LONG_DOUBLE)
|
|
#define signbit(__x) \
|
|
((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \
|
|
(sizeof(__x) == sizeof(double)) ? __builtin_signbit (__x) : \
|
|
__builtin_signbitl(__x))
|
|
#else
|
|
#define signbit(__x) \
|
|
((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \
|
|
__builtin_signbit (__x))
|
|
#endif
|
|
#else
|
|
#define signbit(__x) \
|
|
((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : \
|
|
__signbitd(__x))
|
|
#endif
|
|
|
|
#if __GNUC_PREREQ (2, 97)
|
|
#define isgreater(__x,__y) (__builtin_isgreater (__x, __y))
|
|
#define isgreaterequal(__x,__y) (__builtin_isgreaterequal (__x, __y))
|
|
#define isless(__x,__y) (__builtin_isless (__x, __y))
|
|
#define islessequal(__x,__y) (__builtin_islessequal (__x, __y))
|
|
#define islessgreater(__x,__y) (__builtin_islessgreater (__x, __y))
|
|
#define isunordered(__x,__y) (__builtin_isunordered (__x, __y))
|
|
#else
|
|
#define isgreater(x,y) \
|
|
(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
|
|
!isunordered(__x,__y) && (__x > __y);}))
|
|
#define isgreaterequal(x,y) \
|
|
(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
|
|
!isunordered(__x,__y) && (__x >= __y);}))
|
|
#define isless(x,y) \
|
|
(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
|
|
!isunordered(__x,__y) && (__x < __y);}))
|
|
#define islessequal(x,y) \
|
|
(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
|
|
!isunordered(__x,__y) && (__x <= __y);}))
|
|
#define islessgreater(x,y) \
|
|
(__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
|
|
!isunordered(__x,__y) && (__x < __y || __x > __y);}))
|
|
|
|
#define isunordered(a,b) \
|
|
(__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \
|
|
fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;}))
|
|
#endif
|
|
|
|
/* Non ANSI long double precision functions. */
|
|
|
|
extern int finitel _PARAMS((long double));
|
|
|
|
/* Non ANSI double precision functions. */
|
|
|
|
extern double infinity _PARAMS((void));
|
|
extern double nan _PARAMS((const char *));
|
|
extern int finite _PARAMS((double));
|
|
extern double copysign _PARAMS((double, double));
|
|
extern double logb _PARAMS((double));
|
|
extern int ilogb _PARAMS((double));
|
|
|
|
extern double asinh _PARAMS((double));
|
|
extern double cbrt _PARAMS((double));
|
|
extern double nextafter _PARAMS((double, double));
|
|
extern double rint _PARAMS((double));
|
|
extern double scalbn _PARAMS((double, int));
|
|
|
|
extern double exp2 _PARAMS((double));
|
|
extern double scalbln _PARAMS((double, long int));
|
|
extern double tgamma _PARAMS((double));
|
|
extern double nearbyint _PARAMS((double));
|
|
extern long int lrint _PARAMS((double));
|
|
extern long long int llrint _PARAMS((double));
|
|
extern double round _PARAMS((double));
|
|
extern long int lround _PARAMS((double));
|
|
extern long long int llround _PARAMS((double));
|
|
extern double trunc _PARAMS((double));
|
|
extern double remquo _PARAMS((double, double, int *));
|
|
extern double fdim _PARAMS((double, double));
|
|
extern double fmax _PARAMS((double, double));
|
|
extern double fmin _PARAMS((double, double));
|
|
extern double fma _PARAMS((double, double, double));
|
|
|
|
#ifndef __math_68881
|
|
extern double log1p _PARAMS((double));
|
|
extern double expm1 _PARAMS((double));
|
|
#endif /* ! defined (__math_68881) */
|
|
|
|
#ifndef _REENT_ONLY
|
|
extern double acosh _PARAMS((double));
|
|
extern double atanh _PARAMS((double));
|
|
extern double remainder _PARAMS((double, double));
|
|
extern double gamma _PARAMS((double));
|
|
extern double lgamma _PARAMS((double));
|
|
extern double erf _PARAMS((double));
|
|
extern double erfc _PARAMS((double));
|
|
extern double log2 _PARAMS((double));
|
|
#if !defined(__cplusplus)
|
|
#define log2(x) (log (x) / _M_LN2)
|
|
#endif
|
|
|
|
#ifndef __math_68881
|
|
extern double hypot _PARAMS((double, double));
|
|
#endif
|
|
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
|
|
/* Single precision versions of ANSI functions. */
|
|
|
|
extern float atanf _PARAMS((float));
|
|
extern float cosf _PARAMS((float));
|
|
extern float sinf _PARAMS((float));
|
|
extern float tanf _PARAMS((float));
|
|
extern float tanhf _PARAMS((float));
|
|
extern float frexpf _PARAMS((float, int *));
|
|
extern float modff _PARAMS((float, float *));
|
|
extern float ceilf _PARAMS((float));
|
|
extern float fabsf _PARAMS((float));
|
|
extern float floorf _PARAMS((float));
|
|
|
|
#ifndef _REENT_ONLY
|
|
extern float acosf _PARAMS((float));
|
|
extern float asinf _PARAMS((float));
|
|
extern float atan2f _PARAMS((float, float));
|
|
extern float coshf _PARAMS((float));
|
|
extern float sinhf _PARAMS((float));
|
|
extern float expf _PARAMS((float));
|
|
extern float ldexpf _PARAMS((float, int));
|
|
extern float logf _PARAMS((float));
|
|
extern float log10f _PARAMS((float));
|
|
extern float powf _PARAMS((float, float));
|
|
extern float sqrtf _PARAMS((float));
|
|
extern float fmodf _PARAMS((float, float));
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
|
|
/* Other single precision functions. */
|
|
|
|
extern float exp2f _PARAMS((float));
|
|
extern float scalblnf _PARAMS((float, long int));
|
|
extern float tgammaf _PARAMS((float));
|
|
extern float nearbyintf _PARAMS((float));
|
|
extern long int lrintf _PARAMS((float));
|
|
extern long long int llrintf _PARAMS((float));
|
|
extern float roundf _PARAMS((float));
|
|
extern long int lroundf _PARAMS((float));
|
|
extern long long int llroundf _PARAMS((float));
|
|
extern float truncf _PARAMS((float));
|
|
extern float remquof _PARAMS((float, float, int *));
|
|
extern float fdimf _PARAMS((float, float));
|
|
extern float fmaxf _PARAMS((float, float));
|
|
extern float fminf _PARAMS((float, float));
|
|
extern float fmaf _PARAMS((float, float, float));
|
|
|
|
extern float infinityf _PARAMS((void));
|
|
extern float nanf _PARAMS((const char *));
|
|
extern int finitef _PARAMS((float));
|
|
extern float copysignf _PARAMS((float, float));
|
|
extern float logbf _PARAMS((float));
|
|
extern int ilogbf _PARAMS((float));
|
|
|
|
extern float asinhf _PARAMS((float));
|
|
extern float cbrtf _PARAMS((float));
|
|
extern float nextafterf _PARAMS((float, float));
|
|
extern float rintf _PARAMS((float));
|
|
extern float scalbnf _PARAMS((float, int));
|
|
extern float log1pf _PARAMS((float));
|
|
extern float expm1f _PARAMS((float));
|
|
|
|
#ifndef _REENT_ONLY
|
|
extern float acoshf _PARAMS((float));
|
|
extern float atanhf _PARAMS((float));
|
|
extern float remainderf _PARAMS((float, float));
|
|
extern float gammaf _PARAMS((float));
|
|
extern float lgammaf _PARAMS((float));
|
|
extern float erff _PARAMS((float));
|
|
extern float erfcf _PARAMS((float));
|
|
extern float log2f _PARAMS((float));
|
|
extern float hypotf _PARAMS((float, float));
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
|
|
/* Newlib doesn't fully support long double math functions so far.
|
|
On platforms where long double equals double the long double functions
|
|
simply call the double functions. On Cygwin the long double functions
|
|
are implemented independently from newlib to be able to use optimized
|
|
assembler functions despite using the Microsoft x86_64 ABI. */
|
|
#if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__)
|
|
/* Reentrant ANSI C functions. */
|
|
#ifndef __math_68881
|
|
extern long double atanl _PARAMS((long double));
|
|
extern long double cosl _PARAMS((long double));
|
|
extern long double sinl _PARAMS((long double));
|
|
extern long double tanl _PARAMS((long double));
|
|
extern long double tanhl _PARAMS((long double));
|
|
extern long double frexpl _PARAMS((long double, int *));
|
|
extern long double modfl _PARAMS((long double, long double *));
|
|
extern long double ceill _PARAMS((long double));
|
|
extern long double fabsl _PARAMS((long double));
|
|
extern long double floorl _PARAMS((long double));
|
|
extern long double log1pl _PARAMS((long double));
|
|
extern long double expm1l _PARAMS((long double));
|
|
#endif /* ! defined (__math_68881) */
|
|
/* Non reentrant ANSI C functions. */
|
|
#ifndef _REENT_ONLY
|
|
#ifndef __math_68881
|
|
extern long double acosl _PARAMS((long double));
|
|
extern long double asinl _PARAMS((long double));
|
|
extern long double atan2l _PARAMS((long double, long double));
|
|
extern long double coshl _PARAMS((long double));
|
|
extern long double sinhl _PARAMS((long double));
|
|
extern long double expl _PARAMS((long double));
|
|
extern long double ldexpl _PARAMS((long double, int));
|
|
extern long double logl _PARAMS((long double));
|
|
extern long double log10l _PARAMS((long double));
|
|
extern long double powl _PARAMS((long double, long double));
|
|
extern long double sqrtl _PARAMS((long double));
|
|
extern long double fmodl _PARAMS((long double, long double));
|
|
extern long double hypotl _PARAMS((long double, long double));
|
|
#endif /* ! defined (__math_68881) */
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
extern long double copysignl _PARAMS((long double, long double));
|
|
extern long double nanl _PARAMS((const char *));
|
|
extern int ilogbl _PARAMS((long double));
|
|
extern long double asinhl _PARAMS((long double));
|
|
extern long double cbrtl _PARAMS((long double));
|
|
extern long double nextafterl _PARAMS((long double, long double));
|
|
extern float nexttowardf _PARAMS((float, long double));
|
|
extern double nexttoward _PARAMS((double, long double));
|
|
extern long double nexttowardl _PARAMS((long double, long double));
|
|
extern long double logbl _PARAMS((long double));
|
|
extern long double log2l _PARAMS((long double));
|
|
extern long double rintl _PARAMS((long double));
|
|
extern long double scalbnl _PARAMS((long double, int));
|
|
extern long double exp2l _PARAMS((long double));
|
|
extern long double scalblnl _PARAMS((long double, long));
|
|
extern long double tgammal _PARAMS((long double));
|
|
extern long double nearbyintl _PARAMS((long double));
|
|
extern long int lrintl _PARAMS((long double));
|
|
extern long long int llrintl _PARAMS((long double));
|
|
extern long double roundl _PARAMS((long double));
|
|
extern long lroundl _PARAMS((long double));
|
|
extern long long int llroundl _PARAMS((long double));
|
|
extern long double truncl _PARAMS((long double));
|
|
extern long double remquol _PARAMS((long double, long double, int *));
|
|
extern long double fdiml _PARAMS((long double, long double));
|
|
extern long double fmaxl _PARAMS((long double, long double));
|
|
extern long double fminl _PARAMS((long double, long double));
|
|
extern long double fmal _PARAMS((long double, long double, long double));
|
|
#ifndef _REENT_ONLY
|
|
extern long double acoshl _PARAMS((long double));
|
|
extern long double atanhl _PARAMS((long double));
|
|
extern long double remainderl _PARAMS((long double, long double));
|
|
extern long double lgammal _PARAMS((long double));
|
|
extern long double erfl _PARAMS((long double));
|
|
extern long double erfcl _PARAMS((long double));
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
#else /* !_LDBL_EQ_DBL && !__CYGWIN__ */
|
|
extern long double hypotl _PARAMS((long double, long double));
|
|
extern long double sqrtl _PARAMS((long double));
|
|
#ifdef __i386__
|
|
/* Other long double precision functions. */
|
|
extern _LONG_DOUBLE rintl _PARAMS((_LONG_DOUBLE));
|
|
extern long int lrintl _PARAMS((_LONG_DOUBLE));
|
|
extern long long int llrintl _PARAMS((_LONG_DOUBLE));
|
|
#endif /* __i386__ */
|
|
#endif /* !_LDBL_EQ_DBL && !__CYGWIN__ */
|
|
|
|
#endif /* __ISO_C_VISIBLE >= 1999 */
|
|
|
|
#if __MISC_VISIBLE
|
|
extern double drem _PARAMS((double, double));
|
|
extern float dremf _PARAMS((float, float));
|
|
#ifdef __CYGWIN__
|
|
extern float dreml _PARAMS((long double, long double));
|
|
#endif /* __CYGWIN__ */
|
|
extern double gamma_r _PARAMS((double, int *));
|
|
extern double lgamma_r _PARAMS((double, int *));
|
|
extern float gammaf_r _PARAMS((float, int *));
|
|
extern float lgammaf_r _PARAMS((float, int *));
|
|
#endif
|
|
|
|
#if __MISC_VISIBLE || __XSI_VISIBLE
|
|
extern double y0 _PARAMS((double));
|
|
extern double y1 _PARAMS((double));
|
|
extern double yn _PARAMS((int, double));
|
|
extern double j0 _PARAMS((double));
|
|
extern double j1 _PARAMS((double));
|
|
extern double jn _PARAMS((int, double));
|
|
#endif
|
|
|
|
#if __MISC_VISIBLE || __XSI_VISIBLE >= 600
|
|
extern float y0f _PARAMS((float));
|
|
extern float y1f _PARAMS((float));
|
|
extern float ynf _PARAMS((int, float));
|
|
extern float j0f _PARAMS((float));
|
|
extern float j1f _PARAMS((float));
|
|
extern float jnf _PARAMS((int, float));
|
|
#endif
|
|
|
|
/* GNU extensions */
|
|
#if __GNU_VISIBLE
|
|
extern void sincos _PARAMS((double, double *, double *));
|
|
extern void sincosf _PARAMS((float, float *, float *));
|
|
#ifdef __CYGWIN__
|
|
extern void sincosl _PARAMS((long double, long double *, long double *));
|
|
#endif /* __CYGWIN__ */
|
|
# ifndef exp10
|
|
extern double exp10 _PARAMS((double));
|
|
# endif
|
|
# ifndef pow10
|
|
extern double pow10 _PARAMS((double));
|
|
# endif
|
|
# ifndef exp10f
|
|
extern float exp10f _PARAMS((float));
|
|
# endif
|
|
# ifndef pow10f
|
|
extern float pow10f _PARAMS((float));
|
|
# endif
|
|
#ifdef __CYGWIN__
|
|
# ifndef exp10l
|
|
extern float exp10l _PARAMS((float));
|
|
# endif
|
|
# ifndef pow10l
|
|
extern float pow10l _PARAMS((float));
|
|
# endif
|
|
#endif /* __CYGWIN__ */
|
|
#endif /* __GNU_VISIBLE */
|
|
|
|
#if __MISC_VISIBLE || __XSI_VISIBLE
|
|
/* The gamma functions use a global variable, signgam. */
|
|
#ifndef _REENT_ONLY
|
|
#define signgam (*__signgam())
|
|
extern int *__signgam _PARAMS((void));
|
|
#endif /* ! defined (_REENT_ONLY) */
|
|
|
|
#define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
|
|
#endif /* __MISC_VISIBLE || __XSI_VISIBLE */
|
|
|
|
#if __SVID_VISIBLE
|
|
/* The exception structure passed to the matherr routine. */
|
|
/* We have a problem when using C++ since `exception' is a reserved
|
|
name in C++. */
|
|
#ifdef __cplusplus
|
|
struct __exception
|
|
#else
|
|
struct exception
|
|
#endif
|
|
{
|
|
int type;
|
|
char *name;
|
|
double arg1;
|
|
double arg2;
|
|
double retval;
|
|
int err;
|
|
};
|
|
|
|
#ifdef __cplusplus
|
|
extern int matherr _PARAMS((struct __exception *e));
|
|
#else
|
|
extern int matherr _PARAMS((struct exception *e));
|
|
#endif
|
|
|
|
/* Values for the type field of struct exception. */
|
|
|
|
#define DOMAIN 1
|
|
#define SING 2
|
|
#define OVERFLOW 3
|
|
#define UNDERFLOW 4
|
|
#define TLOSS 5
|
|
#define PLOSS 6
|
|
|
|
#endif /* __SVID_VISIBLE */
|
|
|
|
/* Useful constants. */
|
|
|
|
#if __BSD_VISIBLE || __XSI_VISIBLE >= 500
|
|
|
|
#define MAXFLOAT 3.40282347e+38F
|
|
|
|
#define M_E 2.7182818284590452354
|
|
#define M_LOG2E 1.4426950408889634074
|
|
#define M_LOG10E 0.43429448190325182765
|
|
#define M_LN2 _M_LN2
|
|
#define M_LN10 2.30258509299404568402
|
|
#define M_PI 3.14159265358979323846
|
|
#define M_PI_2 1.57079632679489661923
|
|
#define M_PI_4 0.78539816339744830962
|
|
#define M_1_PI 0.31830988618379067154
|
|
#define M_2_PI 0.63661977236758134308
|
|
#define M_2_SQRTPI 1.12837916709551257390
|
|
#define M_SQRT2 1.41421356237309504880
|
|
#define M_SQRT1_2 0.70710678118654752440
|
|
|
|
#endif
|
|
|
|
#if __BSD_VISIBLE
|
|
|
|
#define M_TWOPI (M_PI * 2.0)
|
|
#define M_3PI_4 2.3561944901923448370E0
|
|
#define M_SQRTPI 1.77245385090551602792981
|
|
#define M_LN2LO 1.9082149292705877000E-10
|
|
#define M_LN2HI 6.9314718036912381649E-1
|
|
#define M_SQRT3 1.73205080756887719000
|
|
#define M_IVLN10 0.43429448190325182765 /* 1 / log(10) */
|
|
#define M_LOG2_E _M_LN2
|
|
#define M_INVLN2 1.4426950408889633870E0 /* 1 / log(2) */
|
|
|
|
/* Global control over fdlibm error handling. */
|
|
|
|
enum __fdlibm_version
|
|
{
|
|
__fdlibm_ieee = -1,
|
|
__fdlibm_svid,
|
|
__fdlibm_xopen,
|
|
__fdlibm_posix
|
|
};
|
|
|
|
#define _LIB_VERSION_TYPE enum __fdlibm_version
|
|
#define _LIB_VERSION __fdlib_version
|
|
|
|
extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION;
|
|
|
|
#define _IEEE_ __fdlibm_ieee
|
|
#define _SVID_ __fdlibm_svid
|
|
#define _XOPEN_ __fdlibm_xopen
|
|
#define _POSIX_ __fdlibm_posix
|
|
|
|
#endif /* __BSD_VISIBLE */
|
|
|
|
_END_STD_C
|
|
|
|
#ifdef __FAST_MATH__
|
|
#include <machine/fastmath.h>
|
|
#endif
|
|
|
|
#endif /* _MATH_H_ */
|