#ifndef _MATH_H_
#define _MATH_H_
#include <machine/ieeefp.h>
#include "_ansi.h"
_BEGIN_STD_C
/* Natural log of 2 */
#define _M_LN2 0.693147180559945309417
#if defined(__GNUC__) && \
( (__GNUC__ >= 4) || \
( (__GNUC__ >= 3) && defined(__GNUC_MINOR__) && (__GNUC_MINOR__ >= 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 (double);
extern double cos (double);
extern double sin (double);
extern double tan (double);
extern double tanh (double);
extern double frexp (double, int *);
extern double modf (double, double *);
extern double ceil (double);
extern double fabs (double);
extern double floor (double);
#endif /* ! defined (__math_68881) */
/* Non reentrant ANSI C functions. */
#ifndef _REENT_ONLY
#ifndef __math_68881
extern double acos (double);
extern double asin (double);
extern double atan2 (double, double);
extern double cosh (double);
extern double sinh (double);
extern double exp (double);
extern double ldexp (double, int);
extern double log (double);
extern double log10 (double);
extern double pow (double, double);
extern double sqrt (double);
extern double fmod (double, double);
#endif /* ! defined (__math_68881) */
#endif /* ! defined (_REENT_ONLY) */
#if !defined(__STRICT_ANSI__) || defined(__cplusplus) || __STDC_VERSION__ >= 199901L
/* ISO C99 types and macros. */
#ifndef FLT_EVAL_METHOD
#define FLT_EVAL_METHOD 0
typedef float float_t;
typedef double double_t;
#endif /* FLT_EVAL_METHOD */
#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);
#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
/* 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>). */
#ifndef isinf
#define isinf(y) (fpclassify(y) == FP_INFINITE)
#endif
#ifndef isnan
#define isnan(y) (fpclassify(y) == FP_NAN)
#endif
#define isnormal(y) (fpclassify(y) == FP_NORMAL)
#define signbit(__x) \
((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : \
__signbitd(__x))
#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;}))
/* Non ANSI double precision functions. */
extern double infinity (void);
extern double nan (const char *);
extern int finite (double);
extern double copysign (double, double);
extern double logb (double);
extern int ilogb (double);
extern double asinh (double);
extern double cbrt (double);
extern double nextafter (double, double);
extern double rint (double);
extern double scalbn (double, int);
extern double exp2 (double);
extern double scalbln (double, long int);
extern double tgamma (double);
extern double nearbyint (double);
extern long int lrint (double);
extern long long int llrint (double);
extern double round (double);
extern long int lround (double);
extern long long int llround (double);
extern double trunc (double);
extern double remquo (double, double, int *);
extern double fdim (double, double);
extern double fmax (double, double);
extern double fmin (double, double);
extern double fma (double, double, double);
#ifndef __math_68881
extern double log1p (double);
extern double expm1 (double);
#endif /* ! defined (__math_68881) */
#ifndef _REENT_ONLY
extern double acosh (double);
extern double atanh (double);
extern double remainder (double, double);
extern double gamma (double);
extern double lgamma (double);
extern double erf (double);
extern double erfc (double);
extern double log2 (double);
#ifndef __math_68881
extern double hypot (double, double);
#endif
#endif /* ! defined (_REENT_ONLY) */
/* Single precision versions of ANSI functions. */
extern float atanf (float);
extern float cosf (float);
extern float sinf (float);
extern float tanf (float);
extern float tanhf (float);
extern float frexpf (float, int *);
extern float modff (float, float *);
extern float ceilf (float);
extern float fabsf (float);
extern float floorf (float);
#ifndef _REENT_ONLY
extern float acosf (float);
extern float asinf (float);
extern float atan2f (float, float);
extern float coshf (float);
extern float sinhf (float);
extern float expf (float);
extern float ldexpf (float, int);
extern float logf (float);
extern float log10f (float);
extern float powf (float, float);
extern float sqrtf (float);
extern float fmodf (float, float);
#endif /* ! defined (_REENT_ONLY) */
/* Other single precision functions. */
extern float exp2f (float);
extern float scalblnf (float, long int);
extern float tgammaf (float);
extern float nearbyintf (float);
extern long int lrintf (float);
extern long long llrintf (float);
extern float roundf (float);
extern long int lroundf (float);
extern long long int llroundf (float);
extern float truncf (float);
extern float remquof (float, float, int *);
extern float fdimf (float, float);
extern float fmaxf (float, float);
extern float fminf (float, float);
extern float fmaf (float, float, float);
extern float infinityf (void);
extern float nanf (const char *);
extern int finitef (float);
extern float copysignf (float, float);
extern float logbf (float);
extern int ilogbf (float);
extern float asinhf (float);
extern float cbrtf (float);
extern float nextafterf (float, float);
extern float rintf (float);
extern float scalbnf (float, int);
extern float log1pf (float);
extern float expm1f (float);
#ifndef _REENT_ONLY
extern float acoshf (float);
extern float atanhf (float);
extern float remainderf (float, float);
extern float gammaf (float);
extern float lgammaf (float);
extern float erff (float);
extern float erfcf (float);
extern float log2f (float);
extern float hypotf (float, float);
#endif /* ! defined (_REENT_ONLY) */
/* On platforms where long double equals double. */
#ifdef _LDBL_EQ_DBL
/* Reentrant ANSI C functions. */
#ifndef __math_68881
extern long double atanl (long double);
extern long double cosl (long double);
extern long double sinl (long double);
extern long double tanl (long double);
extern long double tanhl (long double);
extern long double frexpl (long double value, int *);
extern long double modfl (long double, long double *);
extern long double ceill (long double);
extern long double fabsl (long double);
extern long double floorl (long double);
extern long double log1pl (long double);
extern long double expm1l (long double);
#endif /* ! defined (__math_68881) */
/* Non reentrant ANSI C functions. */
#ifndef _REENT_ONLY
#ifndef __math_68881
extern long double acosl (long double);
extern long double asinl (long double);
extern long double atan2l (long double, long double);
extern long double coshl (long double);
extern long double sinhl (long double);
extern long double expl (long double);
extern long double ldexpl (long double, int);
extern long double logl (long double);
extern long double log2l (long double);
extern long double log10l (long double);
extern long double powl (long double, long double);
extern long double sqrtl (long double);
extern long double fmodl (long double, long double);
extern long double hypotl (long double, long double);
#endif /* ! defined (__math_68881) */
#endif /* ! defined (_REENT_ONLY) */
extern long double copysignl (long double, long double);
extern long double nanl (const char *);
extern int ilogbl (long double);
extern long double asinhl (long double);
extern long double cbrtl (long double);
extern long double nextafterl (long double, long double);
extern long double rintl (long double);
extern long double scalbnl (long double, int);
extern long double exp2l (long double);
extern long double scalblnl (long double, long);
extern long double tgammal (long double);
extern long double nearbyintl (long double);
extern long int lrintl (long double);
extern long long int llrintl (long double);
extern long double roundl (long double);
extern long lroundl (long double);
extern long long int llroundl (long double);
extern long double truncl (long double);
extern long double remquol (long double, long double, int *);
extern long double fdiml (long double, long double);
extern long double fmaxl (long double, long double);
extern long double fminl (long double, long double);
extern long double fmal (long double, long double, long double);
#ifndef _REENT_ONLY
extern long double acoshl (long double);
extern long double atanhl (long double);
extern long double remainderl (long double, long double);
extern long double lgammal (long double);
extern long double erfl (long double);
extern long double erfcl (long double);
#endif /* ! defined (_REENT_ONLY) */
#else /* !_LDBL_EQ_DBL */
#ifdef __i386__
/* Other long double precision functions. */
extern _LONG_DOUBLE rintl (_LONG_DOUBLE);
extern long int lrintl (_LONG_DOUBLE);
extern long long llrintl (_LONG_DOUBLE);
#endif /* __i386__ */
#endif /* !_LDBL_EQ_DBL */
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) || __STDC_VERSION__ >= 199901L */
#if !defined (__STRICT_ANSI__) || defined(__cplusplus)
extern double drem (double, double);
extern void sincos (double, double *, double *);
extern double gamma_r (double, int *);
extern double lgamma_r (double, int *);
extern double y0 (double);
extern double y1 (double);
extern double yn (int, double);
extern double j0 (double);
extern double j1 (double);
extern double jn (int, double);
extern float dremf (float, float);
extern void sincosf (float, float *, float *);
extern float gammaf_r (float, int *);
extern float lgammaf_r (float, int *);
extern float y0f (float);
extern float y1f (float);
extern float ynf (int, float);
extern float j0f (float);
extern float j1f (float);
extern float jnf (int, float);
/* GNU extensions */
# ifndef exp10
extern double exp10 (double);
# endif
# ifndef pow10
extern double pow10 (double);
# endif
# ifndef exp10f
extern float exp10f (float);
# endif
# ifndef pow10f
extern float pow10f (float);
# endif
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) */
#ifndef __STRICT_ANSI__
/* The gamma functions use a global variable, signgam. */
#ifndef _REENT_ONLY
#define signgam (*__signgam())
extern int *__signgam (void);
#endif /* ! defined (_REENT_ONLY) */
#define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
/* 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 (struct __exception *e);
#else
extern int matherr (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
/* Useful constants. */
#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_TWOPI (M_PI * 2.0)
#define M_PI_2 1.57079632679489661923
#define M_PI_4 0.78539816339744830962
#define M_3PI_4 2.3561944901923448370E0
#define M_SQRTPI 1.77245385090551602792981
#define M_1_PI 0.31830988618379067154
#define M_2_PI 0.63661977236758134308
#define M_2_SQRTPI 1.12837916709551257390
#define M_DEG_TO_RAD 0.01745329251994
#define M_RAD_TO_DEG 57.2957795130823
#define M_SQRT2 1.41421356237309504880
#define M_SQRT1_2 0.70710678118654752440
#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) */
#define M_E_F 2.7182818284590452354f
#define M_LOG2E_F 1.4426950408889634074f
#define M_LOG10E_F 0.43429448190325182765f
#define M_LN2_F _M_LN2_F
#define M_LN10_F 2.30258509299404568402f
#define M_PI_F 3.14159265358979323846f
#define M_TWOPI_F (M_PI_F * 2.0f)
#define M_PI_2_F 1.57079632679489661923f
#define M_PI_4_F 0.78539816339744830962f
#define M_3PI_4_F 2.3561944901923448370E0f
#define M_SQRTPI_F 1.77245385090551602792981f
#define M_1_PI_F 0.31830988618379067154f
#define M_2_PI_F 0.63661977236758134308f
#define M_2_SQRTPI_F 1.12837916709551257390f
#define M_DEG_TO_RAD_F 0.01745329251994f
#define M_RAD_TO_DEG_F 57.2957795130823f
#define M_SQRT2_F 1.41421356237309504880f
#define M_SQRT1_2_F 0.70710678118654752440f
#define M_LN2LO_F 1.9082149292705877000E-10f
#define M_LN2HI_F 6.9314718036912381649E-1f
#define M_SQRT3_F 1.73205080756887719000f
#define M_IVLN10_F 0.43429448190325182765f /* 1 / log(10) */
#define M_LOG2_E_F _M_LN2_F
#define M_INVLN2_F 1.4426950408889633870E0f /* 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 /* ! defined (__STRICT_ANSI__) */
_END_STD_C
#ifdef __FAST_MATH__
#include <machine/fastmath.h>
#endif
#endif /* _MATH_H_ */