| 0,0 → 1,580 |
|---|
| #ifndef _MATH_H_ |
| |
| #define _MATH_H_ |
| |
| #include <sys/reent.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 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 _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 !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 _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_TYPE 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_TYPE 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)); |
| #if !defined(__cplusplus) |
| #define log2f(x) (logf (x) / (float_t) _M_LN2) |
| #endif |
| extern float hypotf _PARAMS((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 _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 value, 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 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_TYPE 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 */ |
| #ifdef __i386__ |
| /* Other long double precision functions. */ |
| extern _LONG_DOUBLE rintl _PARAMS((_LONG_DOUBLE)); |
| extern long int lrintl _PARAMS((_LONG_DOUBLE)); |
| extern _LONG_LONG_TYPE llrintl _PARAMS((_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 _PARAMS((double, double)); |
| extern void sincos _PARAMS((double, double *, double *)); |
| extern double gamma_r _PARAMS((double, int *)); |
| extern double lgamma_r _PARAMS((double, int *)); |
| |
| 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)); |
| |
| extern float dremf _PARAMS((float, float)); |
| extern void sincosf _PARAMS((float, float *, float *)); |
| extern float gammaf_r _PARAMS((float, int *)); |
| extern float lgammaf_r _PARAMS((float, int *)); |
| |
| 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)); |
| |
| /* GNU extensions */ |
| # 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 |
| |
| #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 _PARAMS((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 _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 |
| |
| /* 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_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) */ |
| |
| /* 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_ */ |