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Diffstat (limited to 'nuttx/arch/arm/include/math.h')
-rw-r--r-- | nuttx/arch/arm/include/math.h | 608 |
1 files changed, 608 insertions, 0 deletions
diff --git a/nuttx/arch/arm/include/math.h b/nuttx/arch/arm/include/math.h new file mode 100644 index 000000000..ef0869243 --- /dev/null +++ b/nuttx/arch/arm/include/math.h @@ -0,0 +1,608 @@ +#ifndef _MATH_H_ + +#define _MATH_H_ + +//#include <sys/reent.h> +#include <machine/ieeefp.h> +#include "_ansi.h" + +//#define _PARAMS(_x) _x + +_BEGIN_STD_C + +#if 0 +/* __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 +#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) */ + + +#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_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_ */ |