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* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
* from: @(#)fdlibm.h 5.1 93/09/24
* $FreeBSD$
#ifndef _MATH_H_
#define _MATH_H_
#include <sys/cdefs.h>
#include <sys/_types.h>
#include <machine/_limits.h>
extern const union __infinity_un {
unsigned char __uc[8];
double __ud;
} __infinity;
extern const union __nan_un {
unsigned char __uc[sizeof(float)];
float __uf;
} __nan;
#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
#define HUGE_VAL __builtin_huge_val()
#define HUGE_VAL (__infinity.__ud)
#if __ISO_C_VISIBLE >= 1999
#define FP_ILOGB0 (-__INT_MAX)
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VALL __builtin_huge_vall()
#define INFINITY __builtin_inff()
#define NAN __builtin_nanf("")
#define HUGE_VALF (float)HUGE_VAL
#define HUGE_VALL (long double)HUGE_VAL
#define NAN (__nan.__uf)
#define MATH_ERRNO 1
#define math_errhandling MATH_ERREXCEPT
#define FP_FAST_FMAF 1
/* Symbolic constants to classify floating point numbers. */
#define FP_INFINITE 0x01
#define FP_NAN 0x02
#define FP_NORMAL 0x04
#define FP_SUBNORMAL 0x08
#define FP_ZERO 0x10
#if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \
#define __fp_type_select(x, f, d, ld) _Generic((x), \
float: f(x), \
double: d(x), \
long double: ld(x), \
volatile float: f(x), \
volatile double: d(x), \
volatile long double: ld(x), \
volatile const float: f(x), \
volatile const double: d(x), \
volatile const long double: ld(x), \
const float: f(x), \
const double: d(x), \
const long double: ld(x))
#elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus)
#define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \
__builtin_types_compatible_p(__typeof(x), long double), ld(x), \
__builtin_choose_expr( \
__builtin_types_compatible_p(__typeof(x), double), d(x), \
__builtin_choose_expr( \
__builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
#define __fp_type_select(x, f, d, ld) \
((sizeof(x) == sizeof(float)) ? f(x) \
: (sizeof(x) == sizeof(double)) ? d(x) \
: ld(x))
#define fpclassify(x) \
__fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
#define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
#define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
#define isnan(x) \
__fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
#define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)
#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))
#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
#define islessgreater(x, y) (!isunordered((x), (y)) && \
((x) > (y) || (y) > (x)))
#define isunordered(x, y) (isnan(x) || isnan(y))
#endif /* __MATH_BUILTIN_RELOPS */
#define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)
typedef __double_t double_t;
typedef __float_t float_t;
#endif /* __ISO_C_VISIBLE >= 1999 */
#define M_E 2.7182818284590452354 /* e */
#define M_LOG2E 1.4426950408889634074 /* log 2e */
#define M_LOG10E 0.43429448190325182765 /* log 10e */
#define M_LN2 0.69314718055994530942 /* log e2 */
#define M_LN10 2.30258509299404568402 /* log e10 */
#define M_PI 3.14159265358979323846 /* pi */
#define M_PI_2 1.57079632679489661923 /* pi/2 */
#define M_PI_4 0.78539816339744830962 /* pi/4 */
#define M_1_PI 0.31830988618379067154 /* 1/pi */
#define M_2_PI 0.63661977236758134308 /* 2/pi */
#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
#define MAXFLOAT ((float)3.40282346638528860e+38)
extern int signgam;
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
#if 0
/* Old value from 4.4BSD-Lite math.h; this is probably better. */
#endif /* __BSD_VISIBLE */
* Most of these functions depend on the rounding mode and have the side
* effect of raising floating-point exceptions, so they are not declared
* as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
int __fpclassifyd(double) __pure2;
int __fpclassifyf(float) __pure2;
int __fpclassifyl(long double) __pure2;
int __isfinitef(float) __pure2;
int __isfinite(double) __pure2;
int __isfinitel(long double) __pure2;
int __isinff(float) __pure2;
int __isinf(double) __pure2;
int __isinfl(long double) __pure2;
int __isnormalf(float) __pure2;
int __isnormal(double) __pure2;
int __isnormall(long double) __pure2;
int __signbit(double) __pure2;
int __signbitf(float) __pure2;
int __signbitl(long double) __pure2;
static __inline int
__inline_isnan(__const double __x)
return (__x != __x);
static __inline int
__inline_isnanf(__const float __x)
return (__x != __x);
static __inline int
__inline_isnanl(__const long double __x)
return (__x != __x);
* Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
* isinf() as functions taking double. C99, and the subsequent POSIX revisions
* (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
* point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we
* expose the newer definition, assuming that the language spec takes
* precedence over the operating system interface spec.
#if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
#undef isinf
#undef isnan
int isinf(double);
int isnan(double);
double acos(double);
double asin(double);
double atan(double);
double atan2(double, double);
double cos(double);
double sin(double);
double tan(double);
double cosh(double);
double sinh(double);
double tanh(double);
double exp(double);
double frexp(double, int *); /* fundamentally !__pure2 */
double ldexp(double, int);
double log(double);
double log10(double);
double modf(double, double *); /* fundamentally !__pure2 */
double pow(double, double);
double sqrt(double);
double ceil(double);
double fabs(double) __pure2;
double floor(double);
double fmod(double, double);
* These functions are not in C90.
double acosh(double);
double asinh(double);
double atanh(double);
double cbrt(double);
double erf(double);
double erfc(double);
double exp2(double);
double expm1(double);
double fma(double, double, double);
double hypot(double, double);
int ilogb(double) __pure2;
double lgamma(double);
long long llrint(double);
long long llround(double);
double log1p(double);
double log2(double);
double logb(double);
long lrint(double);
long lround(double);
double nan(const char *) __pure2;
double nextafter(double, double);
double remainder(double, double);
double remquo(double, double, int *);
double rint(double);
#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
double j0(double);
double j1(double);
double jn(int, double);
double y0(double);
double y1(double);
double yn(int, double);
#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
double gamma(double);
#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
double scalb(double, double);
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
double copysign(double, double) __pure2;
double fdim(double, double);
double fmax(double, double) __pure2;
double fmin(double, double) __pure2;
double nearbyint(double);
double round(double);
double scalbln(double, long);
double scalbn(double, int);
double tgamma(double);
double trunc(double);
* BSD math library entry points
double drem(double, double);
int finite(double) __pure2;
int isnanf(float) __pure2;
* Reentrant version of gamma & lgamma; passes signgam back by reference
* as the second argument; user must allocate space for signgam.
double gamma_r(double, int *);
double lgamma_r(double, int *);
* IEEE Test Vector
double significand(double);
#endif /* __BSD_VISIBLE */
/* float versions of ANSI/POSIX functions */
#if __ISO_C_VISIBLE >= 1999
float acosf(float);
float asinf(float);
float atanf(float);
float atan2f(float, float);
float cosf(float);
float sinf(float);
float tanf(float);
float coshf(float);
float sinhf(float);
float tanhf(float);
float exp2f(float);
float expf(float);
float expm1f(float);
float frexpf(float, int *); /* fundamentally !__pure2 */
int ilogbf(float) __pure2;
float ldexpf(float, int);
float log10f(float);
float log1pf(float);
float log2f(float);
float logf(float);
float modff(float, float *); /* fundamentally !__pure2 */
float powf(float, float);
float sqrtf(float);
float ceilf(float);
float fabsf(float) __pure2;
float floorf(float);
float fmodf(float, float);
float roundf(float);
float erff(float);
float erfcf(float);
float hypotf(float, float);
float lgammaf(float);
float tgammaf(float);
float acoshf(float);
float asinhf(float);
float atanhf(float);
float cbrtf(float);
float logbf(float);
float copysignf(float, float) __pure2;
long long llrintf(float);
long long llroundf(float);
long lrintf(float);
long lroundf(float);
float nanf(const char *) __pure2;
float nearbyintf(float);
float nextafterf(float, float);
float remainderf(float, float);
float remquof(float, float, int *);
float rintf(float);
float scalblnf(float, long);
float scalbnf(float, int);
float truncf(float);
float fdimf(float, float);
float fmaf(float, float, float);
float fmaxf(float, float) __pure2;
float fminf(float, float) __pure2;
* float versions of BSD math library entry points
float dremf(float, float);
int finitef(float) __pure2;
float gammaf(float);
float j0f(float);
float j1f(float);
float jnf(int, float);
float scalbf(float, float);
float y0f(float);
float y1f(float);
float ynf(int, float);
* Float versions of reentrant version of gamma & lgamma; passes
* signgam back by reference as the second argument; user must
* allocate space for signgam.
float gammaf_r(float, int *);
float lgammaf_r(float, int *);
* float version of IEEE Test Vector
float significandf(float);
#endif /* __BSD_VISIBLE */
* long double versions of ISO/POSIX math functions
#if __ISO_C_VISIBLE >= 1999
long double acoshl(long double);
long double acosl(long double);
long double asinhl(long double);
long double asinl(long double);
long double atan2l(long double, long double);
long double atanhl(long double);
long double atanl(long double);
long double cbrtl(long double);
long double ceill(long double);
long double copysignl(long double, long double) __pure2;
long double coshl(long double);
long double cosl(long double);
long double erfcl(long double);
long double erfl(long double);
long double exp2l(long double);
long double expl(long double);
long double expm1l(long double);
long double fabsl(long double) __pure2;
long double fdiml(long double, long double);
long double floorl(long double);
long double fmal(long double, long double, long double);
long double fmaxl(long double, long double) __pure2;
long double fminl(long double, long double) __pure2;
long double fmodl(long double, long double);
long double frexpl(long double value, int *); /* fundamentally !__pure2 */
long double hypotl(long double, long double);
int ilogbl(long double) __pure2;
long double ldexpl(long double, int);
long double lgammal(long double);
long long llrintl(long double);
long long llroundl(long double);
long double log10l(long double);
long double log1pl(long double);
long double log2l(long double);
long double logbl(long double);
long double logl(long double);
long lrintl(long double);
long lroundl(long double);
long double modfl(long double, long double *); /* fundamentally !__pure2 */
long double nanl(const char *) __pure2;
long double nearbyintl(long double);
long double nextafterl(long double, long double);
double nexttoward(double, long double);
float nexttowardf(float, long double);
long double nexttowardl(long double, long double);
long double powl(long double, long double);
long double remainderl(long double, long double);
long double remquol(long double, long double, int *);
long double rintl(long double);
long double roundl(long double);
long double scalblnl(long double, long);
long double scalbnl(long double, int);
long double sinhl(long double);
long double sinl(long double);
long double sqrtl(long double);
long double tanhl(long double);
long double tanl(long double);
long double tgammal(long double);
long double truncl(long double);
#endif /* __ISO_C_VISIBLE >= 1999 */
long double lgammal_r(long double, int *);
#endif /* !_MATH_H_ */