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math.h
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/*
* Copyright (c) 2018-2020, Andreas Kling <[email protected]>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#pragma once
#include <float.h>
#include <limits.h>
#include <sys/cdefs.h>
#if __cplusplus >= 201103L
# define NOEXCEPT noexcept
#else
# define NOEXCEPT
#endif
__BEGIN_DECLS
#define MATH_ERRNO 1
#define MATH_ERREXCEPT 2
#define math_errhandling MATH_ERREXCEPT
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VAL __builtin_huge_val()
#define HUGE_VALL __builtin_huge_vall()
#define INFINITY __builtin_huge_valf()
#define NAN __builtin_nan("")
#define MAXFLOAT FLT_MAX
#define M_El 2.718281828459045235360287471352662498L
#define M_LOG2El 1.442695040888963407359924681001892137L
#define M_LOG10El 0.434294481903251827651128918916605082L
#define M_LN2l 0.693147180559945309417232121458176568L
#define M_LN10l 2.302585092994045684017991454684364208L
#define M_PIl 3.141592653589793238462643383279502884L
#define M_PI_2l 1.570796326794896619231321691639751442L
#define M_PI_4l 0.785398163397448309615660845819875721L
#define M_1_PIl 0.318309886183790671537767526745028724L
#define M_2_PIl 0.636619772367581343075535053490057448L
#define M_2_SQRTPIl 1.128379167095512573896158903121545172L
#define M_SQRT2l 1.414213562373095048801688724209698079L
#define M_SQRT1_2l 0.707106781186547524400844362104849039L
#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_PI_2 1.57079632679489661923
#define M_PI_4 0.78539816339744830962
#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_Ef32 2.7182818284590452354f
#define M_LOG2Ef32 1.4426950408889634074f
#define M_LOG10Ef32 0.43429448190325182765f
#define M_LN2f32 0.69314718055994530942f
#define M_LN10f32 2.30258509299404568402f
#define M_PIf32 3.14159265358979323846f
#define M_PI_2f32 1.57079632679489661923f
#define M_PI_4f32 0.78539816339744830962f
#define M_1_PIf32 0.31830988618379067154f
#define M_2_PIf32 0.63661977236758134308f
#define M_2_SQRTPIf32 1.12837916709551257390f
#define M_SQRT2f32 1.41421356237309504880f
#define M_SQRT1_2f32 0.70710678118654752440f
#define FP_NAN 0
#define FP_INFINITE 1
#define FP_ZERO 2
#define FP_SUBNORMAL 3
#define FP_NORMAL 4
#define fpclassify(x) __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_ZERO, FP_SUBNORMAL, FP_ZERO, x)
#define signbit(x) __builtin_signbit(x)
#define isnan(x) __builtin_isnan(x)
#define isinf(x) __builtin_isinf_sign(x)
#define isfinite(x) __builtin_isfinite(x)
#define isnormal(x) __builtin_isnormal(x)
#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 DOUBLE_MAX ((double)0b0111111111101111111111111111111111111111111111111111111111111111)
#define DOUBLE_MIN ((double)0b0000000000010000000000000000000000000000000000000000000000000000)
#define FP_ILOGB0 INT_MIN
#define FP_ILOGNAN INT_MAX
#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
#if FLT_EVAL_METHOD == 0
typedef float float_t;
typedef double double_t;
#elif FLT_EVAL_METHOD == 1
typedef double float_t;
typedef double double_t;
#elif FLT_EVAL_METHOD == 2
typedef long double float_t;
typedef long double double_t;
#else
typedef float float_t;
typedef double double_t;
#endif
/* Basic floating point operations */
long double fabsl(long double) NOEXCEPT;
double fabs(double) NOEXCEPT;
float fabsf(float) NOEXCEPT;
long double fmodl(long double, long double) NOEXCEPT;
double fmod(double, double) NOEXCEPT;
float fmodf(float, float) NOEXCEPT;
long double fmaxl(long double, long double) NOEXCEPT;
double fmax(double, double) NOEXCEPT;
float fmaxf(float, float) NOEXCEPT;
long double fminl(long double, long double) NOEXCEPT;
double fmin(double, double) NOEXCEPT;
float fminf(float, float) NOEXCEPT;
long double remainderl(long double, long double) NOEXCEPT;
double remainder(double, double) NOEXCEPT;
float remainderf(float, float) NOEXCEPT;
long double nanl(char const*) NOEXCEPT;
double nan(char const*) NOEXCEPT;
float nanf(char const*) NOEXCEPT;
/* Exponential functions */
long double expl(long double) NOEXCEPT;
double exp(double) NOEXCEPT;
float expf(float) NOEXCEPT;
long double exp2l(long double) NOEXCEPT;
double exp2(double) NOEXCEPT;
float exp2f(float) NOEXCEPT;
long double expm1l(long double) NOEXCEPT;
double expm1(double) NOEXCEPT;
float expm1f(float) NOEXCEPT;
long double logl(long double) NOEXCEPT;
double log(double) NOEXCEPT;
float logf(float) NOEXCEPT;
double log2(double) NOEXCEPT;
float log2f(float) NOEXCEPT;
long double log2l(long double) NOEXCEPT;
long double log10l(long double) NOEXCEPT;
double log10(double) NOEXCEPT;
float log10f(float) NOEXCEPT;
long double log1pl(long double) NOEXCEPT;
double log1p(double) NOEXCEPT;
float log1pf(float) NOEXCEPT;
/* Power functions */
long double powl(long double x, long double y) NOEXCEPT;
double pow(double x, double y) NOEXCEPT;
float powf(float x, float y) NOEXCEPT;
long double sqrtl(long double) NOEXCEPT;
double sqrt(double) NOEXCEPT;
float sqrtf(float) NOEXCEPT;
long double cbrtl(long double) NOEXCEPT;
double cbrt(double) NOEXCEPT;
float cbrtf(float) NOEXCEPT;
long double hypotl(long double, long double) NOEXCEPT;
double hypot(double, double) NOEXCEPT;
float hypotf(float, float) NOEXCEPT;
/* Trigonometric functions */
long double sinl(long double) NOEXCEPT;
double sin(double) NOEXCEPT;
float sinf(float) NOEXCEPT;
long double cosl(long double) NOEXCEPT;
double cos(double) NOEXCEPT;
float cosf(float) NOEXCEPT;
long double tanl(long double) NOEXCEPT;
double tan(double) NOEXCEPT;
float tanf(float) NOEXCEPT;
long double asinl(long double) NOEXCEPT;
double asin(double) NOEXCEPT;
float asinf(float) NOEXCEPT;
long double acosl(long double) NOEXCEPT;
double acos(double) NOEXCEPT;
float acosf(float) NOEXCEPT;
long double atanl(long double) NOEXCEPT;
double atan(double) NOEXCEPT;
float atanf(float) NOEXCEPT;
long double atan2l(long double, long double) NOEXCEPT;
double atan2(double, double) NOEXCEPT;
float atan2f(float, float) NOEXCEPT;
/* Hyperbolic functions*/
long double sinhl(long double) NOEXCEPT;
double sinh(double) NOEXCEPT;
float sinhf(float) NOEXCEPT;
long double coshl(long double) NOEXCEPT;
double cosh(double) NOEXCEPT;
float coshf(float) NOEXCEPT;
long double tanhl(long double) NOEXCEPT;
double tanh(double) NOEXCEPT;
float tanhf(float) NOEXCEPT;
long double asinhl(long double) NOEXCEPT;
double asinh(double) NOEXCEPT;
float asinhf(float) NOEXCEPT;
long double acoshl(long double) NOEXCEPT;
double acosh(double) NOEXCEPT;
float acoshf(float) NOEXCEPT;
long double atanhl(long double) NOEXCEPT;
double atanh(double) NOEXCEPT;
float atanhf(float) NOEXCEPT;
/* Error and gamma functions */
long double erfl(long double) NOEXCEPT;
double erf(double) NOEXCEPT;
float erff(float) NOEXCEPT;
long double erfcl(long double) NOEXCEPT;
double erfc(double) NOEXCEPT;
float erfcf(float) NOEXCEPT;
double gamma(double) NOEXCEPT;
long double tgammal(long double) NOEXCEPT;
double tgamma(double) NOEXCEPT;
float tgammaf(float) NOEXCEPT;
long double lgammal(long double) NOEXCEPT;
double lgamma(double) NOEXCEPT;
float lgammaf(float) NOEXCEPT;
long double lgammal_r(long double, int*) NOEXCEPT;
double lgamma_r(double, int*) NOEXCEPT;
float lgammaf_r(float, int*) NOEXCEPT;
extern int signgam;
/* Nearest integer floating point operations */
long double ceill(long double) NOEXCEPT;
double ceil(double) NOEXCEPT;
float ceilf(float) NOEXCEPT;
long double floorl(long double) NOEXCEPT;
double floor(double) NOEXCEPT;
float floorf(float) NOEXCEPT;
long double truncl(long double) NOEXCEPT;
double trunc(double) NOEXCEPT;
float truncf(float) NOEXCEPT;
float roundf(float) NOEXCEPT;
double round(double) NOEXCEPT;
long double roundl(long double) NOEXCEPT;
long lroundf(float) NOEXCEPT;
long lround(double) NOEXCEPT;
long lroundl(long double) NOEXCEPT;
long long llroundf(float) NOEXCEPT;
long long llround(double) NOEXCEPT;
long long llroundd(long double) NOEXCEPT;
long long llroundl(long double x) NOEXCEPT;
double nearbyint(double x) NOEXCEPT;
float nearbyintf(float x) NOEXCEPT;
long double nearbyintl(long double x) NOEXCEPT;
float rintf(float) NOEXCEPT;
double rint(double) NOEXCEPT;
long double rintl(long double) NOEXCEPT;
long lrintl(long double) NOEXCEPT;
long lrint(double) NOEXCEPT;
long lrintf(float) NOEXCEPT;
long long llrintl(long double) NOEXCEPT;
long long llrint(double) NOEXCEPT;
long long llrintf(float) NOEXCEPT;
/* Floating point manipulation functions */
long double frexpl(long double, int* exp) NOEXCEPT;
double frexp(double, int* exp) NOEXCEPT;
float frexpf(float, int* exp) NOEXCEPT;
long double ldexpl(long double, int exp) NOEXCEPT;
double ldexp(double, int exp) NOEXCEPT;
float ldexpf(float, int exp) NOEXCEPT;
long double modfl(long double, long double*) NOEXCEPT;
double modf(double, double*) NOEXCEPT;
float modff(float, float*) NOEXCEPT;
float scalbnf(float, int) NOEXCEPT;
double scalbn(double, int) NOEXCEPT;
long double scalbnl(long double, int) NOEXCEPT;
float scalbnlf(float, long) NOEXCEPT;
double scalbln(double, long) NOEXCEPT;
float scalblnf(float, long) NOEXCEPT;
long double scalblnl(long double, long) NOEXCEPT;
int ilogbl(long double) NOEXCEPT;
int ilogb(double) NOEXCEPT;
int ilogbf(float) NOEXCEPT;
long double logbl(long double) NOEXCEPT;
double logb(double) NOEXCEPT;
float logbf(float) NOEXCEPT;
double nextafter(double, double) NOEXCEPT;
float nextafterf(float, float) NOEXCEPT;
long double nextafterl(long double, long double) NOEXCEPT;
double nexttoward(double, long double) NOEXCEPT;
float nexttowardf(float, long double) NOEXCEPT;
long double nexttowardl(long double, long double) NOEXCEPT;
float copysignf(float x, float y) NOEXCEPT;
double copysign(double x, double y) NOEXCEPT;
long double copysignl(long double x, long double y) NOEXCEPT;
/* positive difference */
double fdim(double x, double y) NOEXCEPT;
float fdimf(float x, float y) NOEXCEPT;
long double fdiml(long double x, long double y) NOEXCEPT;
/* floating-point multiply and add */
double fma(double x, double y, double z) NOEXCEPT;
float fmaf(float x, float y, float z) NOEXCEPT;
long double fmal(long double x, long double y, long double z) NOEXCEPT;
/* remainder and part of quotient */
double remquo(double x, double y, int* quo) NOEXCEPT;
float remquof(float x, float y, int* quo) NOEXCEPT;
long double remquol(long double x, long double y, int* quo) NOEXCEPT;
__END_DECLS