| // -*- C++ -*- |
| //===---------------------------- cmath -----------------------------------===// |
| // |
| // The LLVM Compiler Infrastructure |
| // |
| // This file is dual licensed under the MIT and the University of Illinois Open |
| // Source Licenses. See LICENSE.TXT for details. |
| // |
| //===----------------------------------------------------------------------===// |
| |
| #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); |
| |
| } // std |
| |
| */ |
| |
| #include <__config> |
| #include <math.h> |
| |
| #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) |
| #pragma GCC system_header |
| #endif |
| |
| _LIBCPP_BEGIN_NAMESPACE_STD |
| |
| using ::signbit; |
| using ::fpclassify; |
| using ::isfinite; |
| using ::isinf; |
| using ::isnan; |
| using ::isnormal; |
| using ::isgreater; |
| using ::isgreaterequal; |
| using ::isless; |
| using ::islessequal; |
| using ::islessgreater; |
| using ::isunordered; |
| using ::isunordered; |
| |
| using ::float_t; |
| using ::double_t; |
| |
| #ifndef _AIX |
| using ::abs; |
| #endif |
| |
| using ::acos; |
| using ::acosf; |
| using ::asin; |
| using ::asinf; |
| using ::atan; |
| using ::atanf; |
| using ::atan2; |
| using ::atan2f; |
| using ::ceil; |
| using ::ceilf; |
| using ::cos; |
| using ::cosf; |
| using ::cosh; |
| using ::coshf; |
| |
| using ::exp; |
| using ::expf; |
| |
| using ::fabs; |
| using ::fabsf; |
| using ::floor; |
| using ::floorf; |
| |
| using ::fmod; |
| using ::fmodf; |
| |
| using ::frexp; |
| using ::frexpf; |
| using ::ldexp; |
| using ::ldexpf; |
| |
| using ::log; |
| using ::logf; |
| |
| using ::log10; |
| using ::log10f; |
| using ::modf; |
| using ::modff; |
| |
| using ::pow; |
| using ::powf; |
| |
| using ::sin; |
| using ::sinf; |
| using ::sinh; |
| using ::sinhf; |
| |
| using ::sqrt; |
| using ::sqrtf; |
| using ::tan; |
| using ::tanf; |
| |
| using ::tanh; |
| using ::tanhf; |
| |
| using ::acosh; |
| using ::acoshf; |
| using ::asinh; |
| using ::asinhf; |
| using ::atanh; |
| using ::atanhf; |
| using ::cbrt; |
| using ::cbrtf; |
| |
| using ::copysign; |
| using ::copysignf; |
| |
| using ::erf; |
| using ::erff; |
| using ::erfc; |
| using ::erfcf; |
| using ::exp2; |
| using ::exp2f; |
| using ::expm1; |
| using ::expm1f; |
| using ::fdim; |
| using ::fdimf; |
| using ::fmaf; |
| using ::fma; |
| using ::fmax; |
| using ::fmaxf; |
| using ::fmin; |
| using ::fminf; |
| using ::hypot; |
| using ::hypotf; |
| using ::ilogb; |
| using ::ilogbf; |
| using ::lgamma; |
| using ::lgammaf; |
| using ::llrint; |
| using ::llrintf; |
| using ::llround; |
| using ::llroundf; |
| using ::log1p; |
| using ::log1pf; |
| using ::log2; |
| using ::log2f; |
| using ::logb; |
| using ::logbf; |
| using ::lrint; |
| using ::lrintf; |
| using ::lround; |
| using ::lroundf; |
| |
| using ::nan; |
| using ::nanf; |
| |
| using ::nearbyint; |
| using ::nearbyintf; |
| using ::nextafter; |
| using ::nextafterf; |
| using ::nexttoward; |
| using ::nexttowardf; |
| using ::remainder; |
| using ::remainderf; |
| using ::remquo; |
| using ::remquof; |
| using ::rint; |
| using ::rintf; |
| using ::round; |
| using ::roundf; |
| using ::scalbln; |
| using ::scalblnf; |
| using ::scalbn; |
| using ::scalbnf; |
| using ::tgamma; |
| using ::tgammaf; |
| using ::trunc; |
| using ::truncf; |
| |
| using ::acosl; |
| using ::asinl; |
| using ::atanl; |
| using ::atan2l; |
| using ::ceill; |
| using ::cosl; |
| using ::coshl; |
| using ::expl; |
| using ::fabsl; |
| using ::floorl; |
| using ::fmodl; |
| using ::frexpl; |
| using ::ldexpl; |
| using ::logl; |
| using ::log10l; |
| using ::modfl; |
| using ::powl; |
| using ::sinl; |
| using ::sinhl; |
| using ::sqrtl; |
| using ::tanl; |
| |
| using ::tanhl; |
| using ::acoshl; |
| using ::asinhl; |
| using ::atanhl; |
| using ::cbrtl; |
| |
| using ::copysignl; |
| |
| using ::erfl; |
| using ::erfcl; |
| using ::exp2l; |
| using ::expm1l; |
| using ::fdiml; |
| using ::fmal; |
| using ::fmaxl; |
| using ::fminl; |
| using ::hypotl; |
| using ::ilogbl; |
| using ::lgammal; |
| using ::llrintl; |
| using ::llroundl; |
| using ::log1pl; |
| using ::log2l; |
| using ::logbl; |
| using ::lrintl; |
| using ::lroundl; |
| using ::nanl; |
| using ::nearbyintl; |
| using ::nextafterl; |
| using ::nexttowardl; |
| using ::remainderl; |
| using ::remquol; |
| using ::rintl; |
| using ::roundl; |
| using ::scalblnl; |
| using ::scalbnl; |
| using ::tgammal; |
| using ::truncl; |
| |
| #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 <class _A1, class _A2, class _A3> |
| inline _LIBCPP_INLINE_VISIBILITY |
| typename __lazy_enable_if |
| < |
| 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 <class _A1> |
| _LIBCPP_ALWAYS_INLINE |
| _LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::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 <class _A1> |
| _LIBCPP_ALWAYS_INLINE |
| _LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type |
| __libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT |
| { |
| return isnan(__lcpp_x); |
| } |
| |
| template <class _A1> |
| _LIBCPP_ALWAYS_INLINE |
| _LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::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 <class _A1> |
| _LIBCPP_ALWAYS_INLINE |
| _LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type |
| __libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT |
| { |
| return isinf(__lcpp_x); |
| } |
| |
| template <class _A1> |
| _LIBCPP_ALWAYS_INLINE |
| _LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::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 <class _A1> |
| _LIBCPP_ALWAYS_INLINE |
| _LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type |
| __libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT |
| { |
| return isfinite(__lcpp_x); |
| } |
| |
| _LIBCPP_END_NAMESPACE_STD |
| |
| #endif // _LIBCPP_CMATH |
