// -*- 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); 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 <__assert> // all public C++ headers provide the assertion handler #include <__config> #include #include #include #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) # pragma GCC system_header #endif _LIBCPP_PUSH_MACROS #include <__undef_macros> _LIBCPP_BEGIN_NAMESPACE_STD using ::signbit _LIBCPP_USING_IF_EXISTS; using ::fpclassify _LIBCPP_USING_IF_EXISTS; using ::isfinite _LIBCPP_USING_IF_EXISTS; using ::isinf _LIBCPP_USING_IF_EXISTS; using ::isnan _LIBCPP_USING_IF_EXISTS; using ::isnormal _LIBCPP_USING_IF_EXISTS; using ::isgreater _LIBCPP_USING_IF_EXISTS; using ::isgreaterequal _LIBCPP_USING_IF_EXISTS; using ::isless _LIBCPP_USING_IF_EXISTS; using ::islessequal _LIBCPP_USING_IF_EXISTS; using ::islessgreater _LIBCPP_USING_IF_EXISTS; using ::isunordered _LIBCPP_USING_IF_EXISTS; using ::isunordered _LIBCPP_USING_IF_EXISTS; using ::float_t _LIBCPP_USING_IF_EXISTS; using ::double_t _LIBCPP_USING_IF_EXISTS; using ::abs _LIBCPP_USING_IF_EXISTS; using ::acos _LIBCPP_USING_IF_EXISTS; using ::acosf _LIBCPP_USING_IF_EXISTS; using ::asin _LIBCPP_USING_IF_EXISTS; using ::asinf _LIBCPP_USING_IF_EXISTS; using ::atan _LIBCPP_USING_IF_EXISTS; using ::atanf _LIBCPP_USING_IF_EXISTS; using ::atan2 _LIBCPP_USING_IF_EXISTS; using ::atan2f _LIBCPP_USING_IF_EXISTS; using ::ceil _LIBCPP_USING_IF_EXISTS; using ::ceilf _LIBCPP_USING_IF_EXISTS; using ::cos _LIBCPP_USING_IF_EXISTS; using ::cosf _LIBCPP_USING_IF_EXISTS; using ::cosh _LIBCPP_USING_IF_EXISTS; using ::coshf _LIBCPP_USING_IF_EXISTS; using ::exp _LIBCPP_USING_IF_EXISTS; using ::expf _LIBCPP_USING_IF_EXISTS; using ::fabs _LIBCPP_USING_IF_EXISTS; using ::fabsf _LIBCPP_USING_IF_EXISTS; using ::floor _LIBCPP_USING_IF_EXISTS; using ::floorf _LIBCPP_USING_IF_EXISTS; using ::fmod _LIBCPP_USING_IF_EXISTS; using ::fmodf _LIBCPP_USING_IF_EXISTS; using ::frexp _LIBCPP_USING_IF_EXISTS; using ::frexpf _LIBCPP_USING_IF_EXISTS; using ::ldexp _LIBCPP_USING_IF_EXISTS; using ::ldexpf _LIBCPP_USING_IF_EXISTS; using ::log _LIBCPP_USING_IF_EXISTS; using ::logf _LIBCPP_USING_IF_EXISTS; using ::log10 _LIBCPP_USING_IF_EXISTS; using ::log10f _LIBCPP_USING_IF_EXISTS; using ::modf _LIBCPP_USING_IF_EXISTS; using ::modff _LIBCPP_USING_IF_EXISTS; using ::pow _LIBCPP_USING_IF_EXISTS; using ::powf _LIBCPP_USING_IF_EXISTS; using ::sin _LIBCPP_USING_IF_EXISTS; using ::sinf _LIBCPP_USING_IF_EXISTS; using ::sinh _LIBCPP_USING_IF_EXISTS; using ::sinhf _LIBCPP_USING_IF_EXISTS; using ::sqrt _LIBCPP_USING_IF_EXISTS; using ::sqrtf _LIBCPP_USING_IF_EXISTS; using ::tan _LIBCPP_USING_IF_EXISTS; using ::tanf _LIBCPP_USING_IF_EXISTS; using ::tanh _LIBCPP_USING_IF_EXISTS; using ::tanhf _LIBCPP_USING_IF_EXISTS; using ::acosh _LIBCPP_USING_IF_EXISTS; using ::acoshf _LIBCPP_USING_IF_EXISTS; using ::asinh _LIBCPP_USING_IF_EXISTS; using ::asinhf _LIBCPP_USING_IF_EXISTS; using ::atanh _LIBCPP_USING_IF_EXISTS; using ::atanhf _LIBCPP_USING_IF_EXISTS; using ::cbrt _LIBCPP_USING_IF_EXISTS; using ::cbrtf _LIBCPP_USING_IF_EXISTS; using ::copysign _LIBCPP_USING_IF_EXISTS; using ::copysignf _LIBCPP_USING_IF_EXISTS; using ::erf _LIBCPP_USING_IF_EXISTS; using ::erff _LIBCPP_USING_IF_EXISTS; using ::erfc _LIBCPP_USING_IF_EXISTS; using ::erfcf _LIBCPP_USING_IF_EXISTS; using ::exp2 _LIBCPP_USING_IF_EXISTS; using ::exp2f _LIBCPP_USING_IF_EXISTS; using ::expm1 _LIBCPP_USING_IF_EXISTS; using ::expm1f _LIBCPP_USING_IF_EXISTS; using ::fdim _LIBCPP_USING_IF_EXISTS; using ::fdimf _LIBCPP_USING_IF_EXISTS; using ::fmaf _LIBCPP_USING_IF_EXISTS; using ::fma _LIBCPP_USING_IF_EXISTS; using ::fmax _LIBCPP_USING_IF_EXISTS; using ::fmaxf _LIBCPP_USING_IF_EXISTS; using ::fmin _LIBCPP_USING_IF_EXISTS; using ::fminf _LIBCPP_USING_IF_EXISTS; using ::hypot _LIBCPP_USING_IF_EXISTS; using ::hypotf _LIBCPP_USING_IF_EXISTS; using ::ilogb _LIBCPP_USING_IF_EXISTS; using ::ilogbf _LIBCPP_USING_IF_EXISTS; using ::lgamma _LIBCPP_USING_IF_EXISTS; using ::lgammaf _LIBCPP_USING_IF_EXISTS; using ::llrint _LIBCPP_USING_IF_EXISTS; using ::llrintf _LIBCPP_USING_IF_EXISTS; using ::llround _LIBCPP_USING_IF_EXISTS; using ::llroundf _LIBCPP_USING_IF_EXISTS; using ::log1p _LIBCPP_USING_IF_EXISTS; using ::log1pf _LIBCPP_USING_IF_EXISTS; using ::log2 _LIBCPP_USING_IF_EXISTS; using ::log2f _LIBCPP_USING_IF_EXISTS; using ::logb _LIBCPP_USING_IF_EXISTS; using ::logbf _LIBCPP_USING_IF_EXISTS; using ::lrint _LIBCPP_USING_IF_EXISTS; using ::lrintf _LIBCPP_USING_IF_EXISTS; using ::lround _LIBCPP_USING_IF_EXISTS; using ::lroundf _LIBCPP_USING_IF_EXISTS; using ::nan _LIBCPP_USING_IF_EXISTS; using ::nanf _LIBCPP_USING_IF_EXISTS; using ::nearbyint _LIBCPP_USING_IF_EXISTS; using ::nearbyintf _LIBCPP_USING_IF_EXISTS; using ::nextafter _LIBCPP_USING_IF_EXISTS; using ::nextafterf _LIBCPP_USING_IF_EXISTS; using ::nexttoward _LIBCPP_USING_IF_EXISTS; using ::nexttowardf _LIBCPP_USING_IF_EXISTS; using ::remainder _LIBCPP_USING_IF_EXISTS; using ::remainderf _LIBCPP_USING_IF_EXISTS; using ::remquo _LIBCPP_USING_IF_EXISTS; using ::remquof _LIBCPP_USING_IF_EXISTS; using ::rint _LIBCPP_USING_IF_EXISTS; using ::rintf _LIBCPP_USING_IF_EXISTS; using ::round _LIBCPP_USING_IF_EXISTS; using ::roundf _LIBCPP_USING_IF_EXISTS; using ::scalbln _LIBCPP_USING_IF_EXISTS; using ::scalblnf _LIBCPP_USING_IF_EXISTS; using ::scalbn _LIBCPP_USING_IF_EXISTS; using ::scalbnf _LIBCPP_USING_IF_EXISTS; using ::tgamma _LIBCPP_USING_IF_EXISTS; using ::tgammaf _LIBCPP_USING_IF_EXISTS; using ::trunc _LIBCPP_USING_IF_EXISTS; using ::truncf _LIBCPP_USING_IF_EXISTS; using ::acosl _LIBCPP_USING_IF_EXISTS; using ::asinl _LIBCPP_USING_IF_EXISTS; using ::atanl _LIBCPP_USING_IF_EXISTS; using ::atan2l _LIBCPP_USING_IF_EXISTS; using ::ceill _LIBCPP_USING_IF_EXISTS; using ::cosl _LIBCPP_USING_IF_EXISTS; using ::coshl _LIBCPP_USING_IF_EXISTS; using ::expl _LIBCPP_USING_IF_EXISTS; using ::fabsl _LIBCPP_USING_IF_EXISTS; using ::floorl _LIBCPP_USING_IF_EXISTS; using ::fmodl _LIBCPP_USING_IF_EXISTS; using ::frexpl _LIBCPP_USING_IF_EXISTS; using ::ldexpl _LIBCPP_USING_IF_EXISTS; using ::logl _LIBCPP_USING_IF_EXISTS; using ::log10l _LIBCPP_USING_IF_EXISTS; using ::modfl _LIBCPP_USING_IF_EXISTS; using ::powl _LIBCPP_USING_IF_EXISTS; using ::sinl _LIBCPP_USING_IF_EXISTS; using ::sinhl _LIBCPP_USING_IF_EXISTS; using ::sqrtl _LIBCPP_USING_IF_EXISTS; using ::tanl _LIBCPP_USING_IF_EXISTS; using ::tanhl _LIBCPP_USING_IF_EXISTS; using ::acoshl _LIBCPP_USING_IF_EXISTS; using ::asinhl _LIBCPP_USING_IF_EXISTS; using ::atanhl _LIBCPP_USING_IF_EXISTS; using ::cbrtl _LIBCPP_USING_IF_EXISTS; using ::copysignl _LIBCPP_USING_IF_EXISTS; using ::erfl _LIBCPP_USING_IF_EXISTS; using ::erfcl _LIBCPP_USING_IF_EXISTS; using ::exp2l _LIBCPP_USING_IF_EXISTS; using ::expm1l _LIBCPP_USING_IF_EXISTS; using ::fdiml _LIBCPP_USING_IF_EXISTS; using ::fmal _LIBCPP_USING_IF_EXISTS; using ::fmaxl _LIBCPP_USING_IF_EXISTS; using ::fminl _LIBCPP_USING_IF_EXISTS; using ::hypotl _LIBCPP_USING_IF_EXISTS; using ::ilogbl _LIBCPP_USING_IF_EXISTS; using ::lgammal _LIBCPP_USING_IF_EXISTS; using ::llrintl _LIBCPP_USING_IF_EXISTS; using ::llroundl _LIBCPP_USING_IF_EXISTS; using ::log1pl _LIBCPP_USING_IF_EXISTS; using ::log2l _LIBCPP_USING_IF_EXISTS; using ::logbl _LIBCPP_USING_IF_EXISTS; using ::lrintl _LIBCPP_USING_IF_EXISTS; using ::lroundl _LIBCPP_USING_IF_EXISTS; using ::nanl _LIBCPP_USING_IF_EXISTS; using ::nearbyintl _LIBCPP_USING_IF_EXISTS; using ::nextafterl _LIBCPP_USING_IF_EXISTS; using ::nexttowardl _LIBCPP_USING_IF_EXISTS; using ::remainderl _LIBCPP_USING_IF_EXISTS; using ::remquol _LIBCPP_USING_IF_EXISTS; using ::rintl _LIBCPP_USING_IF_EXISTS; using ::roundl _LIBCPP_USING_IF_EXISTS; using ::scalblnl _LIBCPP_USING_IF_EXISTS; using ::scalbnl _LIBCPP_USING_IF_EXISTS; using ::tgammal _LIBCPP_USING_IF_EXISTS; using ::truncl _LIBCPP_USING_IF_EXISTS; #if _LIBCPP_STD_VER > 14 inline _LIBCPP_INLINE_VISIBILITY float hypot( float __x, float __y, float __z ) { return sqrt(__x*__x + __y*__y + __z*__z); } inline _LIBCPP_INLINE_VISIBILITY double hypot( double __x, double __y, double __z ) { return sqrt(__x*__x + __y*__y + __z*__z); } inline _LIBCPP_INLINE_VISIBILITY long double hypot( long double __x, long double __y, long double __z ) { return sqrt(__x*__x + __y*__y + __z*__z); } template inline _LIBCPP_INLINE_VISIBILITY typename enable_if_t < is_arithmetic<_A1>::value && is_arithmetic<_A2>::value && is_arithmetic<_A3>::value, __promote<_A1, _A2, _A3> >::type hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT { typedef typename __promote<_A1, _A2, _A3>::type __result_type; static_assert((!(is_same<_A1, __result_type>::value && is_same<_A2, __result_type>::value && is_same<_A3, __result_type>::value)), ""); return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); } #endif template _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR typename enable_if::value, bool>::type __libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT { #if __has_builtin(__builtin_isnan) return __builtin_isnan(__lcpp_x); #else return isnan(__lcpp_x); #endif } template _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR typename enable_if::value, bool>::type __libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT { return isnan(__lcpp_x); } template _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR typename enable_if::value, bool>::type __libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT { #if __has_builtin(__builtin_isinf) return __builtin_isinf(__lcpp_x); #else return isinf(__lcpp_x); #endif } template _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR typename enable_if::value, bool>::type __libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT { return isinf(__lcpp_x); } template _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR typename enable_if::value, bool>::type __libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT { #if __has_builtin(__builtin_isfinite) return __builtin_isfinite(__lcpp_x); #else return isfinite(__lcpp_x); #endif } template _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR typename enable_if::value, bool>::type __libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT { return isfinite(__lcpp_x); } #if _LIBCPP_STD_VER > 17 template constexpr _Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept { if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0)) return __t * __b + (1 - __t) * __a; if (__t == 1) return __b; const _Fp __x = __a + __t * (__b - __a); if ((__t > 1) == (__b > __a)) return __b < __x ? __x : __b; else return __x < __b ? __x : __b; } constexpr float lerp(float __a, float __b, float __t) _NOEXCEPT { return __lerp(__a, __b, __t); } constexpr double lerp(double __a, double __b, double __t) _NOEXCEPT { return __lerp(__a, __b, __t); } constexpr long double lerp(long double __a, long double __b, long double __t) _NOEXCEPT { return __lerp(__a, __b, __t); } template 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 { typedef typename __promote<_A1, _A2, _A3>::type __result_type; static_assert(!(_IsSame<_A1, __result_type>::value && _IsSame<_A2, __result_type>::value && _IsSame<_A3, __result_type>::value)); return __lerp((__result_type)__a, (__result_type)__b, (__result_type)__t); } #endif // _LIBCPP_STD_VER > 17 _LIBCPP_END_NAMESPACE_STD _LIBCPP_POP_MACROS #endif // _LIBCPP_CMATH