newlib-cygwin/newlib/libc/include/math.h

390 lines
12 KiB
C

/* math.h -- Definitions for the math floating point package. */
#ifndef _MATH_H_
#define _MATH_H_
#include <sys/reent.h>
#include <machine/ieeefp.h>
#include "_ansi.h"
_BEGIN_STD_C
#ifndef HUGE_VAL
/* Define HUGE_VAL as infinity, unless HUGE_VAL is already defined
(which might have been done by something like math-68881.h). */
union __fmath
{
__ULong i[1];
float f;
};
union __dmath
{
__ULong i[2];
double d;
};
union __ldmath
{
__ULong i[4];
_LONG_DOUBLE ld;
};
/* Declare this as an array without bounds so that no matter what small data
support a port and/or library has, this reference will be via the general
method for accessing globals. */
extern __IMPORT const union __dmath __infinity[];
extern __IMPORT const union __fmath __infinityf[];
extern __IMPORT const union __ldmath __infinityld[];
#define HUGE_VAL (__infinity[0].d)
#define HUGE_VALF (__infinityf[0].f)
#define HUGE_VALL (__infinityld[0].ld)
#endif /* ! defined (HUGE_VAL) */
/* 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_6881
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) */
#ifndef __STRICT_ANSI__
/* 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
extern int __fpclassifyf (float x);
extern int __fpclassifyd (double x);
extern int __signbitf (float x);
extern int __signbitd (double x);
#define fpclassify(x) \
(__extension__ ({__typeof__(x) __x = (x); \
(sizeof (__x) == sizeof (float)) ? __fpclassifyf(__x) : __fpclassifyd(__x);}))
#define isfinite(y) \
(__extension__ ({__typeof__(y) __y = (y); \
fpclassify(__y) != FP_INFINITE && fpclassify(__y) != FP_NAN;}))
#define isnormal(z) \
(__extension__ ({__typeof__(z) __z = (z); \
fpclassify(__z) == FP_NORMAL;}))
#define signbit(x) \
(__extension__ ({__typeof__(x) __x = (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 isnan _PARAMS((double));
extern int isinf _PARAMS((double));
extern int finite _PARAMS((double));
extern double copysign _PARAMS((double, 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 double round _PARAMS((double));
extern long int lround _PARAMS((double));
extern double trunc _PARAMS((double));
extern double remquo _PARAMS((double, double, int *));
extern double copysign _PARAMS((double, double));
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));
extern void sincos _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 gamma_r _PARAMS((double, int *));
extern double lgamma _PARAMS((double));
extern double lgamma_r _PARAMS((double, int *));
extern double erf _PARAMS((double));
extern double erfc _PARAMS((double));
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));
#define log2(x) (log (x) / M_LOG2_E)
#ifndef __math_68881
extern double hypot _PARAMS((double, double));
#endif
extern double cabs();
extern double drem _PARAMS((double, double));
#endif /* ! defined (_REENT_ONLY) */
#endif /* ! defined (__STRICT_ANSI__) */
#if !defined(__STRICT_ANSI__) || defined(__cplusplus)
/* 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) */
#endif /* !defined(__STRICT_ANSI__) || defined(__cplusplus) */
#ifndef __STRICT_ANSI__
/* 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 float roundf _PARAMS((float));
extern long int lroundf _PARAMS((float));
extern float truncf _PARAMS((float));
extern float remquof _PARAMS((float, float, int *));
extern float copysignf _PARAMS((float, float));
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 isnanf _PARAMS((float));
extern int isinff _PARAMS((float));
extern int finitef _PARAMS((float));
extern float copysignf _PARAMS((float, 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));
extern void sincosf _PARAMS((float, float *, 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 gammaf_r _PARAMS((float, int *));
extern float lgammaf _PARAMS((float));
extern float lgammaf_r _PARAMS((float, int *));
extern float erff _PARAMS((float));
extern float erfcf _PARAMS((float));
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));
#define log2f(x) (logf (x) / (float) M_LOG2_E)
extern float hypotf _PARAMS((float, float));
extern float cabsf();
extern float dremf _PARAMS((float, float));
#endif /* ! defined (_REENT_ONLY) */
/* 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. */
#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 0.69314718055994530942
#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 0.693147180559945309417
#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 _CONST _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_ */