// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCPP_MATH_H
# define _LIBCPP_MATH_H
/*
math.h synopsis
Macros:
HUGE_VAL
HUGE_VALF // C99
HUGE_VALL // C99
INFINITY // C99
NAN // C99
FP_INFINITE // C99
FP_NAN // C99
FP_NORMAL // C99
FP_SUBNORMAL // C99
FP_ZERO // C99
FP_FAST_FMA // C99
FP_FAST_FMAF // C99
FP_FAST_FMAL // C99
FP_ILOGB0 // C99
FP_ILOGBNAN // C99
MATH_ERRNO // C99
MATH_ERREXCEPT // C99
math_errhandling // C99
Types:
float_t // C99
double_t // C99
// C90
floating_point abs(floating_point x);
floating_point acos (arithmetic x);
float acosf(float x);
long double acosl(long double x);
floating_point asin (arithmetic x);
float asinf(float x);
long double asinl(long double x);
floating_point atan (arithmetic x);
float atanf(float x);
long double atanl(long double x);
floating_point atan2 (arithmetic y, arithmetic x);
float atan2f(float y, float x);
long double atan2l(long double y, long double x);
floating_point ceil (arithmetic x);
float ceilf(float x);
long double ceill(long double x);
floating_point cos (arithmetic x);
float cosf(float x);
long double cosl(long double x);
floating_point cosh (arithmetic x);
float coshf(float x);
long double coshl(long double x);
floating_point exp (arithmetic x);
float expf(float x);
long double expl(long double x);
floating_point fabs (arithmetic x);
float fabsf(float x);
long double fabsl(long double x);
floating_point floor (arithmetic x);
float floorf(float x);
long double floorl(long double x);
floating_point fmod (arithmetic x, arithmetic y);
float fmodf(float x, float y);
long double fmodl(long double x, long double y);
floating_point frexp (arithmetic value, int* exp);
float frexpf(float value, int* exp);
long double frexpl(long double value, int* exp);
floating_point ldexp (arithmetic value, int exp);
float ldexpf(float value, int exp);
long double ldexpl(long double value, int exp);
floating_point log (arithmetic x);
float logf(float x);
long double logl(long double x);
floating_point log10 (arithmetic x);
float log10f(float x);
long double log10l(long double x);
floating_point modf (floating_point value, floating_point* iptr);
float modff(float value, float* iptr);
long double modfl(long double value, long double* iptr);
floating_point pow (arithmetic x, arithmetic y);
float powf(float x, float y);
long double powl(long double x, long double y);
floating_point sin (arithmetic x);
float sinf(float x);
long double sinl(long double x);
floating_point sinh (arithmetic x);
float sinhf(float x);
long double sinhl(long double x);
floating_point sqrt (arithmetic x);
float sqrtf(float x);
long double sqrtl(long double x);
floating_point tan (arithmetic x);
float tanf(float x);
long double tanl(long double x);
floating_point tanh (arithmetic x);
float tanhf(float x);
long double tanhl(long double x);
// C99
bool signbit(arithmetic x);
int fpclassify(arithmetic x);
bool isfinite(arithmetic x);
bool isinf(arithmetic x);
bool isnan(arithmetic x);
bool isnormal(arithmetic x);
bool isgreater(arithmetic x, arithmetic y);
bool isgreaterequal(arithmetic x, arithmetic y);
bool isless(arithmetic x, arithmetic y);
bool islessequal(arithmetic x, arithmetic y);
bool islessgreater(arithmetic x, arithmetic y);
bool isunordered(arithmetic x, arithmetic y);
floating_point acosh (arithmetic x);
float acoshf(float x);
long double acoshl(long double x);
floating_point asinh (arithmetic x);
float asinhf(float x);
long double asinhl(long double x);
floating_point atanh (arithmetic x);
float atanhf(float x);
long double atanhl(long double x);
floating_point cbrt (arithmetic x);
float cbrtf(float x);
long double cbrtl(long double x);
floating_point copysign (arithmetic x, arithmetic y);
float copysignf(float x, float y);
long double copysignl(long double x, long double y);
floating_point erf (arithmetic x);
float erff(float x);
long double erfl(long double x);
floating_point erfc (arithmetic x);
float erfcf(float x);
long double erfcl(long double x);
floating_point exp2 (arithmetic x);
float exp2f(float x);
long double exp2l(long double x);
floating_point expm1 (arithmetic x);
float expm1f(float x);
long double expm1l(long double x);
floating_point fdim (arithmetic x, arithmetic y);
float fdimf(float x, float y);
long double fdiml(long double x, long double y);
floating_point fma (arithmetic x, arithmetic y, arithmetic z);
float fmaf(float x, float y, float z);
long double fmal(long double x, long double y, long double z);
floating_point fmax (arithmetic x, arithmetic y);
float fmaxf(float x, float y);
long double fmaxl(long double x, long double y);
floating_point fmin (arithmetic x, arithmetic y);
float fminf(float x, float y);
long double fminl(long double x, long double y);
floating_point hypot (arithmetic x, arithmetic y);
float hypotf(float x, float y);
long double hypotl(long double x, long double y);
int ilogb (arithmetic x);
int ilogbf(float x);
int ilogbl(long double x);
floating_point lgamma (arithmetic x);
float lgammaf(float x);
long double lgammal(long double x);
long long llrint (arithmetic x);
long long llrintf(float x);
long long llrintl(long double x);
long long llround (arithmetic x);
long long llroundf(float x);
long long llroundl(long double x);
floating_point log1p (arithmetic x);
float log1pf(float x);
long double log1pl(long double x);
floating_point log2 (arithmetic x);
float log2f(float x);
long double log2l(long double x);
floating_point logb (arithmetic x);
float logbf(float x);
long double logbl(long double x);
long lrint (arithmetic x);
long lrintf(float x);
long lrintl(long double x);
long lround (arithmetic x);
long lroundf(float x);
long lroundl(long double x);
double nan (const char* str);
float nanf(const char* str);
long double nanl(const char* str);
floating_point nearbyint (arithmetic x);
float nearbyintf(float x);
long double nearbyintl(long double x);
floating_point nextafter (arithmetic x, arithmetic y);
float nextafterf(float x, float y);
long double nextafterl(long double x, long double y);
floating_point nexttoward (arithmetic x, long double y);
float nexttowardf(float x, long double y);
long double nexttowardl(long double x, long double y);
floating_point remainder (arithmetic x, arithmetic y);
float remainderf(float x, float y);
long double remainderl(long double x, long double y);
floating_point remquo (arithmetic x, arithmetic y, int* pquo);
float remquof(float x, float y, int* pquo);
long double remquol(long double x, long double y, int* pquo);
floating_point rint (arithmetic x);
float rintf(float x);
long double rintl(long double x);
floating_point round (arithmetic x);
float roundf(float x);
long double roundl(long double x);
floating_point scalbln (arithmetic x, long ex);
float scalblnf(float x, long ex);
long double scalblnl(long double x, long ex);
floating_point scalbn (arithmetic x, int ex);
float scalbnf(float x, int ex);
long double scalbnl(long double x, int ex);
floating_point tgamma (arithmetic x);
float tgammaf(float x);
long double tgammal(long double x);
floating_point trunc (arithmetic x);
float truncf(float x);
long double truncl(long double x);
*/
# include <__config>
# if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
# pragma GCC system_header
# endif
# if __has_include_next(<math.h>)
# include_next <math.h>
# endif
# ifdef __cplusplus
// We support including .h headers inside 'extern "C"' contexts, so switch
// back to C++ linkage before including these C++ headers.
extern "C++" {
# ifdef fpclassify
# undef fpclassify
# endif
# ifdef signbit
# undef signbit
# endif
# ifdef isfinite
# undef isfinite
# endif
# ifdef isinf
# undef isinf
# endif
# ifdef isnan
# undef isnan
# endif
# ifdef isnormal
# undef isnormal
# endif
# ifdef isgreater
# undef isgreater
# endif
# ifdef isgreaterequal
# undef isgreaterequal
# endif
# ifdef isless
# undef isless
# endif
# ifdef islessequal
# undef islessequal
# endif
# ifdef islessgreater
# undef islessgreater
# endif
# ifdef isunordered
# undef isunordered
# endif
# include <__math/abs.h>
# include <__math/copysign.h>
# include <__math/error_functions.h>
# include <__math/exponential_functions.h>
# include <__math/fdim.h>
# include <__math/fma.h>
# include <__math/gamma.h>
# include <__math/hyperbolic_functions.h>
# include <__math/hypot.h>
# include <__math/inverse_hyperbolic_functions.h>
# include <__math/inverse_trigonometric_functions.h>
# include <__math/logarithms.h>
# include <__math/min_max.h>
# include <__math/modulo.h>
# include <__math/remainder.h>
# include <__math/roots.h>
# include <__math/rounding_functions.h>
# include <__math/traits.h>
# include <__math/trigonometric_functions.h>
# include <__type_traits/enable_if.h>
# include <__type_traits/is_floating_point.h>
# include <__type_traits/is_integral.h>
# include <stdlib.h>
// fpclassify relies on implementation-defined constants, so we can't move it to a detail header
_LIBCPP_BEGIN_NAMESPACE_STD
namespace __math {
// fpclassify
// template on non-double overloads to make them weaker than same overloads from MSVC runtime
template <class = int>
[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(float __x) _NOEXCEPT {
return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
}
template <class = int>
[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(double __x) _NOEXCEPT {
return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
}
template <class = int>
[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(long double __x) _NOEXCEPT {
return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
}
template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
[[__nodiscard__]] inline _LIBCPP_HIDE_FROM_ABI int fpclassify(_A1 __x) _NOEXCEPT {
return __x == 0 ? FP_ZERO : FP_NORMAL;
}
} // namespace __math
_LIBCPP_END_NAMESPACE_STD
using std::__math::fpclassify;
using std::__math::signbit;
// The MSVC runtime already provides these functions as templates
# ifndef _LIBCPP_MSVCRT
using std::__math::isfinite;
using std::__math::isgreater;
using std::__math::isgreaterequal;
using std::__math::isinf;
using std::__math::isless;
using std::__math::islessequal;
using std::__math::islessgreater;
using std::__math::isnan;
using std::__math::isnormal;
using std::__math::isunordered;
# endif // _LIBCPP_MSVCRT
// abs
//
// handled in stdlib.h
// div
//
// handled in stdlib.h
// We have to provide double overloads for <math.h> to work on platforms that don't provide the full set of math
// functions. To make the overload set work with multiple functions that take the same arguments, we make our overloads
// templates. Functions are preferred over function templates during overload resolution, which means that our overload
// will only be selected when the C library doesn't provide one.
using std::__math::acos;
using std::__math::acosh;
using std::__math::asin;
using std::__math::asinh;
using std::__math::atan;
using std::__math::atan2;
using std::__math::atanh;
using std::__math::cbrt;
using std::__math::ceil;
using std::__math::copysign;
using std::__math::cos;
using std::__math::cosh;
using std::__math::erf;
using std::__math::erfc;
using std::__math::exp;
using std::__math::exp2;
using std::__math::expm1;
using std::__math::fabs;
using std::__math::fdim;
using std::__math::floor;
using std::__math::fma;
using std::__math::fmax;
using std::__math::fmin;
using std::__math::fmod;
using std::__math::frexp;
using std::__math::hypot;
using std::__math::ilogb;
using std::__math::ldexp;
using std::__math::lgamma;
using std::__math::llrint;
using std::__math::llround;
using std::__math::log;
using std::__math::log10;
using std::__math::log1p;
using std::__math::log2;
using std::__math::logb;
using std::__math::lrint;
using std::__math::lround;
using std::__math::modf;
using std::__math::nearbyint;
using std::__math::nextafter;
using std::__math::nexttoward;
using std::__math::pow;
using std::__math::remainder;
using std::__math::remquo;
using std::__math::rint;
using std::__math::round;
using std::__math::scalbln;
using std::__math::scalbn;
using std::__math::signbit;
using std::__math::sin;
using std::__math::sinh;
using std::__math::sqrt;
using std::__math::tan;
using std::__math::tanh;
using std::__math::tgamma;
using std::__math::trunc;
} // extern "C++"
# endif // __cplusplus
#else // _LIBCPP_MATH_H
// This include lives outside the header guard in order to support an MSVC
// extension which allows users to do:
//
// #define _USE_MATH_DEFINES
// #include <math.h>
//
// and receive the definitions of mathematical constants, even if <math.h>
// has previously been included.
# if defined(_LIBCPP_MSVCRT) && defined(_USE_MATH_DEFINES)
# include_next <math.h>
# endif
#endif // _LIBCPP_MATH_H
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