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/* $NetBSD: math.h,v 1.66 2020/02/22 22:47:35 joerg Exp $ */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
* @(#)fdlibm.h 5.1 93/09/24
*/
#ifndef _MATH_H_
#define _MATH_H_
#include <sys/cdefs.h>
#include <sys/featuretest.h>
/*
* Missing for C99 support:
* - MATH_ERRNO
* - MATH_ERREXCEPT
* - FP_FAST_FMA
* - FP_FAST_FMAF
* - FP_FAST_FMAL
* - math_errhandling
*/
union __float_u {
unsigned char __dummy[sizeof(float)];
float __val;
};
union __double_u {
unsigned char __dummy[sizeof(double)];
double __val;
};
union __long_double_u {
unsigned char __dummy[sizeof(long double)];
long double __val;
};
#include <machine/math.h> /* may use __float_u, __double_u,
or __long_double_u */
#include <limits.h> /* for INT_{MIN,MAX} */
#if (!defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
!defined(_XOPEN_SOURCE)) || ((_POSIX_C_SOURCE - 0) >= 200809L || \
defined(_ISOC99_SOURCE) || (__STDC_VERSION__ - 0) >= 199901L || \
(__cplusplus - 0) >= 201103L || defined(_NETBSD_SOURCE))
#define __MATH_C99_FEATURES
#endif
#ifdef __MATH_C99_FEATURES
# if defined(__FLT_EVAL_METHOD__) && (__FLT_EVAL_METHOD__ - 0) == 0
typedef double double_t;
typedef float float_t;
# elif (__FLT_EVAL_METHOD__ - 0) == 1
typedef double double_t;
typedef double float_t;
# elif (__FLT_EVAL_METHOD__ - 0) == 2
typedef long double double_t;
typedef long double float_t;
# endif
#endif
#ifdef __HAVE_LONG_DOUBLE
#define __fpmacro_unary_floating(__name, __arg0) \
/* LINTED */ \
((sizeof (__arg0) == sizeof (float)) \
? __ ## __name ## f (__arg0) \
: (sizeof (__arg0) == sizeof (double)) \
? __ ## __name ## d (__arg0) \
: __ ## __name ## l (__arg0))
#else
#define __fpmacro_unary_floating(__name, __arg0) \
/* LINTED */ \
((sizeof (__arg0) == sizeof (float)) \
? __ ## __name ## f (__arg0) \
: __ ## __name ## d (__arg0))
#endif /* __HAVE_LONG_DOUBLE */
/*
* ANSI/POSIX
*/
/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
#if __GNUC_PREREQ__(3, 3)
#define HUGE_VAL __builtin_huge_val()
#else
extern const union __double_u __infinity;
#define HUGE_VAL __infinity.__val
#endif
/*
* ISO C99
*/
#if defined(__MATH_C99_FEATURES) || \
(_POSIX_C_SOURCE - 0) >= 200112L || (_XOPEN_SOURCE - 0) >= 600
/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
#if __GNUC_PREREQ__(3, 3)
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VALL __builtin_huge_vall()
#else
extern const union __float_u __infinityf;
#define HUGE_VALF __infinityf.__val
extern const union __long_double_u __infinityl;
#define HUGE_VALL __infinityl.__val
#endif
/* 7.12#4 INFINITY */
#if defined(__INFINITY)
#define INFINITY __INFINITY /* float constant which overflows */
#elif __GNUC_PREREQ__(3, 3)
#define INFINITY __builtin_inff()
#else
#define INFINITY HUGE_VALF /* positive infinity */
#endif /* __INFINITY */
/* 7.12#5 NAN: a quiet NaN, if supported */
#ifdef __HAVE_NANF
#if __GNUC_PREREQ__(3,3)
#define NAN __builtin_nanf("")
#else
extern const union __float_u __nanf;
#define NAN __nanf.__val
#endif
#endif /* __HAVE_NANF */
/* 7.12#6 number classification macros */
#define FP_INFINITE 0x00
#define FP_NAN 0x01
#define FP_NORMAL 0x02
#define FP_SUBNORMAL 0x03
#define FP_ZERO 0x04
/* NetBSD extensions */
#define _FP_LOMD 0x80 /* range for machine-specific classes */
#define _FP_HIMD 0xff
#define FP_ILOGB0 INT_MIN
#define FP_ILOGBNAN INT_MAX
#endif /* C99 || _XOPEN_SOURCE >= 600 */
/*
* XOPEN/SVID
*/
#if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
#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 /* _XOPEN_SOURCE || _NETBSD_SOURCE */
#if defined(_NETBSD_SOURCE)
enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
#define _LIB_VERSION_TYPE enum fdversion
#define _LIB_VERSION _fdlib_version
/* if global variable _LIB_VERSION is not desirable, one may
* change the following to be a constant by:
* #define _LIB_VERSION_TYPE const enum version
* In that case, after one initializes the value _LIB_VERSION (see
* s_lib_version.c) during compile time, it cannot be modified
* in the middle of a program
*/
extern _LIB_VERSION_TYPE _LIB_VERSION;
#define _IEEE_ fdlibm_ieee
#define _SVID_ fdlibm_svid
#define _XOPEN_ fdlibm_xopen
#define _POSIX_ fdlibm_posix
#ifndef __cplusplus
struct exception {
int type;
const char *name;
double arg1;
double arg2;
double retval;
};
#endif
#define HUGE MAXFLOAT
/*
* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
* (one may replace the following line by "#include <values.h>")
*/
#define X_TLOSS 1.41484755040568800000e+16
#define DOMAIN 1
#define SING 2
#define OVERFLOW 3
#define UNDERFLOW 4
#define TLOSS 5
#define PLOSS 6
#endif /* _NETBSD_SOURCE */
__BEGIN_DECLS
/*
* ANSI/POSIX
*/
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 exp2(double);
double frexp(double, int *);
double ldexp(double, int);
double log(double);
double log2(double);
double log10(double);
double modf(double, double *);
double pow(double, double);
double sqrt(double);
double ceil(double);
double fabs(double);
double floor(double);
double fmod(double, double);
#if defined(__MATH_C99_FEATURES) || defined(_XOPEN_SOURCE)
double erf(double);
double erfc(double);
double hypot(double, double);
#endif
#if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
int finite(double);
double gamma(double);
double j0(double);
double j1(double);
double jn(int, double);
double y0(double);
double y1(double);
double yn(int, double);
#if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)
double scalb(double, double);
#endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/
#endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
/*
* ISO C99
*/
#if defined(__MATH_C99_FEATURES) || (_XOPEN_SOURCE - 0) >= 500
double acosh(double);
double asinh(double);
double atanh(double);
double cbrt(double);
double expm1(double);
int ilogb(double);
double log1p(double);
double logb(double);
double nextafter(double, double);
double remainder(double, double);
double rint(double);
#endif
#if defined(__MATH_C99_FEATURES) || (_XOPEN_SOURCE - 0) >= 600 || \
(_POSIX_C_SOURCE - 0) >= 200112L
/* 7.12.3.1 int fpclassify(real-floating x) */
#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
/* 7.12.3.2 int isfinite(real-floating x) */
#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
/* 7.12.3.5 int isnormal(real-floating x) */
#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
/* 7.12.3.6 int signbit(real-floating x) */
#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
/* 7.12.4 trigonometric */
float acosf(float);
float asinf(float);
float atanf(float);
float atan2f(float, float);
float cosf(float);
float sinf(float);
float tanf(float);
long double acosl(long double);
long double asinl(long double);
long double atanl(long double);
long double atan2l(long double, long double);
long double cosl(long double);
long double sinl(long double);
long double tanl(long double);
/* 7.12.5 hyperbolic */
float acoshf(float);
float asinhf(float);
float atanhf(float);
float coshf(float);
float sinhf(float);
float tanhf(float);
long double acoshl(long double);
long double asinhl(long double);
long double atanhl(long double);
long double coshl(long double);
long double sinhl(long double);
long double tanhl(long double);
/* 7.12.6 exp / log */
double scalbn(double, int);
double scalbln(double, long);
float expf(float);
float exp2f(float);
float expm1f(float);
float frexpf(float, int *);
int ilogbf(float);
float ldexpf(float, int);
float logf(float);
float log2f(float);
float log10f(float);
float log1pf(float);
float logbf(float);
float modff(float, float *);
float scalbnf(float, int);
float scalblnf(float, long);
long double expl(long double);
long double exp2l(long double);
long double expm1l(long double);
long double frexpl(long double, int *);
int ilogbl(long double);
long double ldexpl(long double, int);
long double logl(long double);
long double log2l(long double);
long double log10l(long double);
long double log1pl(long double);
long double logbl(long double);
long double modfl(long double, long double *);
long double scalbnl(long double, int);
long double scalblnl(long double, long);
/* 7.12.7 power / absolute */
float cbrtf(float);
float fabsf(float);
float hypotf(float, float);
float powf(float, float);
float sqrtf(float);
long double cbrtl(long double);
long double fabsl(long double);
long double hypotl(long double, long double);
long double powl(long double, long double);
long double sqrtl(long double);
/* 7.12.8 error / gamma */
double lgamma(double);
double tgamma(double);
float erff(float);
float erfcf(float);
float lgammaf(float);
float tgammaf(float);
long double erfl(long double);
long double erfcl(long double);
long double lgammal(long double);
long double tgammal(long double);
/* 7.12.9 nearest integer */
/* LONGLONG */
long long int llrint(double);
long int lround(double);
/* LONGLONG */
long long int llround(double);
long int lrint(double);
double round(double);
double trunc(double);
float ceilf(float);
float floorf(float);
/* LONGLONG */
long long int llrintf(float);
long int lroundf(float);
/* LONGLONG */
long long int llroundf(float);
long int lrintf(float);
float rintf(float);
float roundf(float);
float truncf(float);
long double ceill(long double);
long double floorl(long double);
/* LONGLONG */
long long int llrintl(long double);
long int lroundl(long double);
/* LONGLONG */
long long int llroundl(long double);
long int lrintl(long double);
long double rintl(long double);
long double roundl(long double);
long double truncl(long double);
/* 7.12.10 remainder */
float fmodf(float, float);
float remainderf(float, float);
long double fmodl(long double, long double);
long double remainderl(long double, long double);
/* 7.12.10.3 The remquo functions */
double remquo(double, double, int *);
float remquof(float, float, int *);
long double remquol(long double, long double, int *);
/* 7.12.11 manipulation */
double copysign(double, double);
double nan(const char *);
double nearbyint(double);
double nexttoward(double, long double);
float copysignf(float, float);
float nanf(const char *);
float nearbyintf(float);
float nextafterf(float, float);
float nexttowardf(float, long double);
long double copysignl(long double, long double);
long double nanl(const char *);
long double nearbyintl(long double);
long double nextafterl(long double, long double);
long double nexttowardl(long double, long double);
/* 7.12.14 comparison */
#define isunordered(x, y) (isnan(x) || isnan(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)))
double fdim(double, double);
double fma(double, double, double);
double fmax(double, double);
double fmin(double, double);
float fdimf(float, float);
float fmaf(float, float, float);
float fmaxf(float, float);
float fminf(float, float);
long double fdiml(long double, long double);
long double fmal(long double, long double, long double);
long double fmaxl(long double, long double);
long double fminl(long double, long double);
#endif /* !_ANSI_SOURCE && ... */
#if defined(__MATH_C99_FEATURES) || (_POSIX_C_SOURCE - 0) >= 200112L
/* 7.12.3.3 int isinf(real-floating x) */
#if defined(__isinf) || defined(__HAVE_INLINE___ISINF)
#define isinf(__x) __isinf(__x)
#else
#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
#endif
/* 7.12.3.4 int isnan(real-floating x) */
#if defined(__isnan) || defined(__HAVE_INLINE___ISNAN)
#define isnan(__x) __isnan(__x)
#else
#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
#endif
#endif /* !_ANSI_SOURCE && ... */
#if defined(_NETBSD_SOURCE)
#ifndef __cplusplus
int matherr(struct exception *);
#endif
/*
* IEEE Test Vector
*/
double significand(double);
/*
* BSD math library entry points
*/
double drem(double, double);
#endif /* _NETBSD_SOURCE */
#if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
/*
* 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 *);
#endif /* _NETBSD_SOURCE || _REENTRANT */
#if defined(_NETBSD_SOURCE)
/* float versions of ANSI/POSIX functions */
float gammaf(float);
int isinff(float);
int isnanf(float);
int finitef(float);
float j0f(float);
float j1f(float);
float jnf(int, float);
float y0f(float);
float y1f(float);
float ynf(int, float);
float scalbf(float, float);
/*
* float version of IEEE Test Vector
*/
float significandf(float);
/*
* float versions of BSD math library entry points
*/
float dremf(float, float);
#endif /* _NETBSD_SOURCE */
#if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
/*
* 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 *);
#endif /* !... || _REENTRANT */
/*
* Library implementation
*/
int __fpclassifyf(float);
int __fpclassifyd(double);
int __isfinitef(float);
int __isfinited(double);
int __isinff(float);
int __isinfd(double);
int __isnanf(float);
int __isnand(double);
int __signbitf(float);
int __signbitd(double);
#ifdef __HAVE_LONG_DOUBLE
int __fpclassifyl(long double);
int __isfinitel(long double);
int __isinfl(long double);
int __isnanl(long double);
int __signbitl(long double);
#endif
__END_DECLS
#endif /* _MATH_H_ */
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