// -*- 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_CMATH #define _LIBCPP_CMATH /* cmath 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 namespace std { 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); double hermite(unsigned n, double x); // C++17 float hermite(unsigned n, float x); // C++17 long double hermite(unsigned n, long double x); // C++17 float hermitef(unsigned n, float x); // C++17 long double hermitel(unsigned n, long double x); // C++17 template <class Integer> double hermite(unsigned n, Integer x); // C++17 floating_point hypot (arithmetic x, arithmetic y); float hypotf(float x, float y); long double hypotl(long double x, long double y); double hypot(double x, double y, double z); // C++17 float hypot(float x, float y, float z); // C++17 long double hypot(long double x, long double y, long double z); // C++17 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); constexpr float lerp(float a, float b, float t) noexcept; // C++20 constexpr double lerp(double a, double b, double t) noexcept; // C++20 constexpr long double lerp(long double a, long double b, long double t) noexcept; // C++20 } // std */ #include <__config> #include <__math/hypot.h> #include <__type_traits/enable_if.h> #include <__type_traits/is_arithmetic.h> #include <__type_traits/is_constant_evaluated.h> #include <__type_traits/is_floating_point.h> #include <__type_traits/is_same.h> #include <__type_traits/promote.h> #include <__type_traits/remove_cv.h> #include <limits> #include <version> #include <__math/special_functions.h> #include <math.h> #ifndef _LIBCPP_MATH_H # error <cmath> tried including <math.h> but didn't find libc++'s <math.h> header. \ This usually means that your header search paths are not configured properly. \ The header search paths should contain the C++ Standard Library headers before \ any C Standard Library, and you are probably using compiler flags that make that \ not be the case. #endif #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) # pragma GCC system_header #endif _LIBCPP_PUSH_MACROS #include <__undef_macros> _LIBCPP_BEGIN_NAMESPACE_STD signbit _LIBCPP_USING_IF_EXISTS; fpclassify _LIBCPP_USING_IF_EXISTS; isfinite _LIBCPP_USING_IF_EXISTS; isinf _LIBCPP_USING_IF_EXISTS; isnan _LIBCPP_USING_IF_EXISTS; isnormal _LIBCPP_USING_IF_EXISTS; isgreater _LIBCPP_USING_IF_EXISTS; isgreaterequal _LIBCPP_USING_IF_EXISTS; isless _LIBCPP_USING_IF_EXISTS; islessequal _LIBCPP_USING_IF_EXISTS; islessgreater _LIBCPP_USING_IF_EXISTS; isunordered _LIBCPP_USING_IF_EXISTS; isunordered _LIBCPP_USING_IF_EXISTS; float_t _LIBCPP_USING_IF_EXISTS; double_t _LIBCPP_USING_IF_EXISTS; abs _LIBCPP_USING_IF_EXISTS; acos _LIBCPP_USING_IF_EXISTS; acosf _LIBCPP_USING_IF_EXISTS; asin _LIBCPP_USING_IF_EXISTS; asinf _LIBCPP_USING_IF_EXISTS; atan _LIBCPP_USING_IF_EXISTS; atanf _LIBCPP_USING_IF_EXISTS; atan2 _LIBCPP_USING_IF_EXISTS; atan2f _LIBCPP_USING_IF_EXISTS; ceil _LIBCPP_USING_IF_EXISTS; ceilf _LIBCPP_USING_IF_EXISTS; cos _LIBCPP_USING_IF_EXISTS; cosf _LIBCPP_USING_IF_EXISTS; cosh _LIBCPP_USING_IF_EXISTS; coshf _LIBCPP_USING_IF_EXISTS; exp _LIBCPP_USING_IF_EXISTS; expf _LIBCPP_USING_IF_EXISTS; fabs _LIBCPP_USING_IF_EXISTS; fabsf _LIBCPP_USING_IF_EXISTS; floor _LIBCPP_USING_IF_EXISTS; floorf _LIBCPP_USING_IF_EXISTS; fmod _LIBCPP_USING_IF_EXISTS; fmodf _LIBCPP_USING_IF_EXISTS; frexp _LIBCPP_USING_IF_EXISTS; frexpf _LIBCPP_USING_IF_EXISTS; ldexp _LIBCPP_USING_IF_EXISTS; ldexpf _LIBCPP_USING_IF_EXISTS; log _LIBCPP_USING_IF_EXISTS; logf _LIBCPP_USING_IF_EXISTS; log10 _LIBCPP_USING_IF_EXISTS; log10f _LIBCPP_USING_IF_EXISTS; modf _LIBCPP_USING_IF_EXISTS; modff _LIBCPP_USING_IF_EXISTS; pow _LIBCPP_USING_IF_EXISTS; powf _LIBCPP_USING_IF_EXISTS; sin _LIBCPP_USING_IF_EXISTS; sinf _LIBCPP_USING_IF_EXISTS; sinh _LIBCPP_USING_IF_EXISTS; sinhf _LIBCPP_USING_IF_EXISTS; sqrt _LIBCPP_USING_IF_EXISTS; sqrtf _LIBCPP_USING_IF_EXISTS; tan _LIBCPP_USING_IF_EXISTS; tanf _LIBCPP_USING_IF_EXISTS; tanh _LIBCPP_USING_IF_EXISTS; tanhf _LIBCPP_USING_IF_EXISTS; acosh _LIBCPP_USING_IF_EXISTS; acoshf _LIBCPP_USING_IF_EXISTS; asinh _LIBCPP_USING_IF_EXISTS; asinhf _LIBCPP_USING_IF_EXISTS; atanh _LIBCPP_USING_IF_EXISTS; atanhf _LIBCPP_USING_IF_EXISTS; cbrt _LIBCPP_USING_IF_EXISTS; cbrtf _LIBCPP_USING_IF_EXISTS; copysign _LIBCPP_USING_IF_EXISTS; copysignf _LIBCPP_USING_IF_EXISTS; erf _LIBCPP_USING_IF_EXISTS; erff _LIBCPP_USING_IF_EXISTS; erfc _LIBCPP_USING_IF_EXISTS; erfcf _LIBCPP_USING_IF_EXISTS; exp2 _LIBCPP_USING_IF_EXISTS; exp2f _LIBCPP_USING_IF_EXISTS; expm1 _LIBCPP_USING_IF_EXISTS; expm1f _LIBCPP_USING_IF_EXISTS; fdim _LIBCPP_USING_IF_EXISTS; fdimf _LIBCPP_USING_IF_EXISTS; fmaf _LIBCPP_USING_IF_EXISTS; fma _LIBCPP_USING_IF_EXISTS; fmax _LIBCPP_USING_IF_EXISTS; fmaxf _LIBCPP_USING_IF_EXISTS; fmin _LIBCPP_USING_IF_EXISTS; fminf _LIBCPP_USING_IF_EXISTS; hypot _LIBCPP_USING_IF_EXISTS; hypotf _LIBCPP_USING_IF_EXISTS; ilogb _LIBCPP_USING_IF_EXISTS; ilogbf _LIBCPP_USING_IF_EXISTS; lgamma _LIBCPP_USING_IF_EXISTS; lgammaf _LIBCPP_USING_IF_EXISTS; llrint _LIBCPP_USING_IF_EXISTS; llrintf _LIBCPP_USING_IF_EXISTS; llround _LIBCPP_USING_IF_EXISTS; llroundf _LIBCPP_USING_IF_EXISTS; log1p _LIBCPP_USING_IF_EXISTS; log1pf _LIBCPP_USING_IF_EXISTS; log2 _LIBCPP_USING_IF_EXISTS; log2f _LIBCPP_USING_IF_EXISTS; logb _LIBCPP_USING_IF_EXISTS; logbf _LIBCPP_USING_IF_EXISTS; lrint _LIBCPP_USING_IF_EXISTS; lrintf _LIBCPP_USING_IF_EXISTS; lround _LIBCPP_USING_IF_EXISTS; lroundf _LIBCPP_USING_IF_EXISTS; nan _LIBCPP_USING_IF_EXISTS; nanf _LIBCPP_USING_IF_EXISTS; nearbyint _LIBCPP_USING_IF_EXISTS; nearbyintf _LIBCPP_USING_IF_EXISTS; nextafter _LIBCPP_USING_IF_EXISTS; nextafterf _LIBCPP_USING_IF_EXISTS; nexttoward _LIBCPP_USING_IF_EXISTS; nexttowardf _LIBCPP_USING_IF_EXISTS; remainder _LIBCPP_USING_IF_EXISTS; remainderf _LIBCPP_USING_IF_EXISTS; remquo _LIBCPP_USING_IF_EXISTS; remquof _LIBCPP_USING_IF_EXISTS; rint _LIBCPP_USING_IF_EXISTS; rintf _LIBCPP_USING_IF_EXISTS; round _LIBCPP_USING_IF_EXISTS; roundf _LIBCPP_USING_IF_EXISTS; scalbln _LIBCPP_USING_IF_EXISTS; scalblnf _LIBCPP_USING_IF_EXISTS; scalbn _LIBCPP_USING_IF_EXISTS; scalbnf _LIBCPP_USING_IF_EXISTS; tgamma _LIBCPP_USING_IF_EXISTS; tgammaf _LIBCPP_USING_IF_EXISTS; trunc _LIBCPP_USING_IF_EXISTS; truncf _LIBCPP_USING_IF_EXISTS; acosl _LIBCPP_USING_IF_EXISTS; asinl _LIBCPP_USING_IF_EXISTS; atanl _LIBCPP_USING_IF_EXISTS; atan2l _LIBCPP_USING_IF_EXISTS; ceill _LIBCPP_USING_IF_EXISTS; cosl _LIBCPP_USING_IF_EXISTS; coshl _LIBCPP_USING_IF_EXISTS; expl _LIBCPP_USING_IF_EXISTS; fabsl _LIBCPP_USING_IF_EXISTS; floorl _LIBCPP_USING_IF_EXISTS; fmodl _LIBCPP_USING_IF_EXISTS; frexpl _LIBCPP_USING_IF_EXISTS; ldexpl _LIBCPP_USING_IF_EXISTS; logl _LIBCPP_USING_IF_EXISTS; log10l _LIBCPP_USING_IF_EXISTS; modfl _LIBCPP_USING_IF_EXISTS; powl _LIBCPP_USING_IF_EXISTS; sinl _LIBCPP_USING_IF_EXISTS; sinhl _LIBCPP_USING_IF_EXISTS; sqrtl _LIBCPP_USING_IF_EXISTS; tanl _LIBCPP_USING_IF_EXISTS; tanhl _LIBCPP_USING_IF_EXISTS; acoshl _LIBCPP_USING_IF_EXISTS; asinhl _LIBCPP_USING_IF_EXISTS; atanhl _LIBCPP_USING_IF_EXISTS; cbrtl _LIBCPP_USING_IF_EXISTS; copysignl _LIBCPP_USING_IF_EXISTS; erfl _LIBCPP_USING_IF_EXISTS; erfcl _LIBCPP_USING_IF_EXISTS; exp2l _LIBCPP_USING_IF_EXISTS; expm1l _LIBCPP_USING_IF_EXISTS; fdiml _LIBCPP_USING_IF_EXISTS; fmal _LIBCPP_USING_IF_EXISTS; fmaxl _LIBCPP_USING_IF_EXISTS; fminl _LIBCPP_USING_IF_EXISTS; hypotl _LIBCPP_USING_IF_EXISTS; ilogbl _LIBCPP_USING_IF_EXISTS; lgammal _LIBCPP_USING_IF_EXISTS; llrintl _LIBCPP_USING_IF_EXISTS; llroundl _LIBCPP_USING_IF_EXISTS; log1pl _LIBCPP_USING_IF_EXISTS; log2l _LIBCPP_USING_IF_EXISTS; logbl _LIBCPP_USING_IF_EXISTS; lrintl _LIBCPP_USING_IF_EXISTS; lroundl _LIBCPP_USING_IF_EXISTS; nanl _LIBCPP_USING_IF_EXISTS; nearbyintl _LIBCPP_USING_IF_EXISTS; nextafterl _LIBCPP_USING_IF_EXISTS; nexttowardl _LIBCPP_USING_IF_EXISTS; remainderl _LIBCPP_USING_IF_EXISTS; remquol _LIBCPP_USING_IF_EXISTS; rintl _LIBCPP_USING_IF_EXISTS; roundl _LIBCPP_USING_IF_EXISTS; scalblnl _LIBCPP_USING_IF_EXISTS; scalbnl _LIBCPP_USING_IF_EXISTS; tgammal _LIBCPP_USING_IF_EXISTS; truncl _LIBCPP_USING_IF_EXISTS; template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isinf(_A1 __lcpp_x) _NOEXCEPT { … } template <class _A1, __enable_if_t<!is_floating_point<_A1>::value, int> = 0> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool __constexpr_isinf(_A1 __lcpp_x) _NOEXCEPT { … } #if _LIBCPP_STD_VER >= 20 template <typename _Fp> _LIBCPP_HIDE_FROM_ABI constexpr _Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept { … } _LIBCPP_HIDE_FROM_ABI inline constexpr float lerp(float __a, float __b, float __t) _NOEXCEPT { … } _LIBCPP_HIDE_FROM_ABI inline constexpr double lerp(double __a, double __b, double __t) _NOEXCEPT { … } _LIBCPP_HIDE_FROM_ABI inline constexpr long double lerp(long double __a, long double __b, long double __t) _NOEXCEPT { … } template <class _A1, class _A2, class _A3> inline _LIBCPP_HIDE_FROM_ABI constexpr typename enable_if_t< is_arithmetic<_A1>::value && is_arithmetic<_A2>::value && is_arithmetic<_A3>::value, __promote<_A1, _A2, _A3> >::type lerp(_A1 __a, _A2 __b, _A3 __t) noexcept { … } #endif // _LIBCPP_STD_VER >= 20 _LIBCPP_END_NAMESPACE_STD _LIBCPP_POP_MACROS #if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20 # include <type_traits> #endif #endif // _LIBCPP_CMATH
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