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+// -*- C++ -*-
+//===---------------------------- math.h ----------------------------------===//
+//
+// 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_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
+
+#include_next <math.h>
+
+#ifdef __cplusplus
+
+// We support including .h headers inside 'extern "C"' contexts, so switch
+// back to C++ linkage before including these C++ headers.
+extern "C++" {
+
+#include <type_traits>
+#include <limits>
+
+// signbit
+
+#ifdef signbit
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT
+{
+ return signbit(__lcpp_x);
+}
+
+#undef signbit
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
+signbit(_A1 __lcpp_x) _NOEXCEPT
+{
+ return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
+signbit(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x < 0; }
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
+signbit(_A1) _NOEXCEPT
+{ return false; }
+
+#elif defined(_LIBCPP_MSVCRT)
+
+template <typename _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
+signbit(_A1 __lcpp_x) _NOEXCEPT
+{
+ return ::signbit(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
+signbit(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x < 0; }
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
+signbit(_A1) _NOEXCEPT
+{ return false; }
+
+#endif // signbit
+
+// fpclassify
+
+#ifdef fpclassify
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+int
+__libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{
+ return fpclassify(__lcpp_x);
+}
+
+#undef fpclassify
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
+fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{
+ return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, int>::type
+fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
+
+#elif defined(_LIBCPP_MSVCRT)
+
+template <typename _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
+fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{
+ return ::fpclassify(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, int>::type
+fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
+
+#endif // fpclassify
+
+// isfinite
+
+#ifdef isfinite
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
+{
+ return isfinite(__lcpp_x);
+}
+
+#undef isfinite
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
+ bool>::type
+isfinite(_A1 __lcpp_x) _NOEXCEPT
+{
+ return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
+ bool>::type
+isfinite(_A1) _NOEXCEPT
+{ return true; }
+
+#endif // isfinite
+
+// isinf
+
+#ifdef isinf
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
+{
+ return isinf(__lcpp_x);
+}
+
+#undef isinf
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
+ bool>::type
+isinf(_A1 __lcpp_x) _NOEXCEPT
+{
+ return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+ std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
+ bool>::type
+isinf(_A1) _NOEXCEPT
+{ return false; }
+
+#endif // isinf
+
+// isnan
+
+#ifdef isnan
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
+{
+ return isnan(__lcpp_x);
+}
+
+#undef isnan
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
+isnan(_A1 __lcpp_x) _NOEXCEPT
+{
+ return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, bool>::type
+isnan(_A1) _NOEXCEPT
+{ return false; }
+
+#endif // isnan
+
+// isnormal
+
+#ifdef isnormal
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT
+{
+ return isnormal(__lcpp_x);
+}
+
+#undef isnormal
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
+isnormal(_A1 __lcpp_x) _NOEXCEPT
+{
+ return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
+}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, bool>::type
+isnormal(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x != 0; }
+
+#endif // isnormal
+
+// isgreater
+
+#ifdef isgreater
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ return isgreater(__lcpp_x, __lcpp_y);
+}
+
+#undef isgreater
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ bool
+>::type
+isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type type;
+ return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y);
+}
+
+#endif // isgreater
+
+// isgreaterequal
+
+#ifdef isgreaterequal
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ return isgreaterequal(__lcpp_x, __lcpp_y);
+}
+
+#undef isgreaterequal
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ bool
+>::type
+isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type type;
+ return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y);
+}
+
+#endif // isgreaterequal
+
+// isless
+
+#ifdef isless
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ return isless(__lcpp_x, __lcpp_y);
+}
+
+#undef isless
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ bool
+>::type
+isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type type;
+ return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y);
+}
+
+#endif // isless
+
+// islessequal
+
+#ifdef islessequal
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ return islessequal(__lcpp_x, __lcpp_y);
+}
+
+#undef islessequal
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ bool
+>::type
+islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type type;
+ return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y);
+}
+
+#endif // islessequal
+
+// islessgreater
+
+#ifdef islessgreater
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ return islessgreater(__lcpp_x, __lcpp_y);
+}
+
+#undef islessgreater
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ bool
+>::type
+islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type type;
+ return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y);
+}
+
+#endif // islessgreater
+
+// isunordered
+
+#ifdef isunordered
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ return isunordered(__lcpp_x, __lcpp_y);
+}
+
+#undef isunordered
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ bool
+>::type
+isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type type;
+ return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y);
+}
+
+#endif // isunordered
+
+// abs
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY
+float
+abs(float __lcpp_x) _NOEXCEPT {return ::fabsf(__lcpp_x);}
+
+inline _LIBCPP_INLINE_VISIBILITY
+double
+abs(double __lcpp_x) _NOEXCEPT {return ::fabs(__lcpp_x);}
+
+inline _LIBCPP_INLINE_VISIBILITY
+long double
+abs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
+#endif // !(defined(_AIX) || defined(__sun__))
+
+// acos
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float acos(float __lcpp_x) _NOEXCEPT {return ::acosf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return ::acosl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+acos(_A1 __lcpp_x) _NOEXCEPT {return ::acos((double)__lcpp_x);}
+
+// asin
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float asin(float __lcpp_x) _NOEXCEPT {return ::asinf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return ::asinl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+asin(_A1 __lcpp_x) _NOEXCEPT {return ::asin((double)__lcpp_x);}
+
+// atan
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float atan(float __lcpp_x) _NOEXCEPT {return ::atanf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return ::atanl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+atan(_A1 __lcpp_x) _NOEXCEPT {return ::atan((double)__lcpp_x);}
+
+// atan2
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT {return ::atan2f(__lcpp_y, __lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return ::atan2l(__lcpp_y, __lcpp_x);}
+#endif
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
+}
+
+// ceil
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float ceil(float __lcpp_x) _NOEXCEPT {return ::ceilf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ::ceill(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+ceil(_A1 __lcpp_x) _NOEXCEPT {return ::ceil((double)__lcpp_x);}
+
+// cos
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float cos(float __lcpp_x) _NOEXCEPT {return ::cosf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return ::cosl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cos(_A1 __lcpp_x) _NOEXCEPT {return ::cos((double)__lcpp_x);}
+
+// cosh
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float cosh(float __lcpp_x) _NOEXCEPT {return ::coshf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return ::coshl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cosh(_A1 __lcpp_x) _NOEXCEPT {return ::cosh((double)__lcpp_x);}
+
+// exp
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float exp(float __lcpp_x) _NOEXCEPT {return ::expf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return ::expl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+exp(_A1 __lcpp_x) _NOEXCEPT {return ::exp((double)__lcpp_x);}
+
+// fabs
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float fabs(float __lcpp_x) _NOEXCEPT {return ::fabsf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+fabs(_A1 __lcpp_x) _NOEXCEPT {return ::fabs((double)__lcpp_x);}
+
+// floor
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float floor(float __lcpp_x) _NOEXCEPT {return ::floorf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return ::floorl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+floor(_A1 __lcpp_x) _NOEXCEPT {return ::floor((double)__lcpp_x);}
+
+// fmod
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fmodf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmodl(__lcpp_x, __lcpp_y);}
+#endif
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// frexp
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpf(__lcpp_x, __lcpp_e);}
+inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpl(__lcpp_x, __lcpp_e);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexp((double)__lcpp_x, __lcpp_e);}
+
+// ldexp
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpf(__lcpp_x, __lcpp_e);}
+inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpl(__lcpp_x, __lcpp_e);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexp((double)__lcpp_x, __lcpp_e);}
+
+// log
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float log(float __lcpp_x) _NOEXCEPT {return ::logf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return ::logl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log(_A1 __lcpp_x) _NOEXCEPT {return ::log((double)__lcpp_x);}
+
+// log10
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float log10(float __lcpp_x) _NOEXCEPT {return ::log10f(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return ::log10l(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log10(_A1 __lcpp_x) _NOEXCEPT {return ::log10((double)__lcpp_x);}
+
+// modf
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT {return ::modff(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return ::modfl(__lcpp_x, __lcpp_y);}
+#endif
+
+// pow
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::powf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::powl(__lcpp_x, __lcpp_y);}
+#endif
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::pow((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// sin
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float sin(float __lcpp_x) _NOEXCEPT {return ::sinf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return ::sinl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sin(_A1 __lcpp_x) _NOEXCEPT {return ::sin((double)__lcpp_x);}
+
+// sinh
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float sinh(float __lcpp_x) _NOEXCEPT {return ::sinhf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return ::sinhl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sinh(_A1 __lcpp_x) _NOEXCEPT {return ::sinh((double)__lcpp_x);}
+
+// sqrt
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __lcpp_x) _NOEXCEPT {return ::sqrtf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return ::sqrtl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sqrt(_A1 __lcpp_x) _NOEXCEPT {return ::sqrt((double)__lcpp_x);}
+
+// tan
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float tan(float __lcpp_x) _NOEXCEPT {return ::tanf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return ::tanl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tan(_A1 __lcpp_x) _NOEXCEPT {return ::tan((double)__lcpp_x);}
+
+// tanh
+
+#if !(defined(_AIX) || defined(__sun__))
+inline _LIBCPP_INLINE_VISIBILITY float tanh(float __lcpp_x) _NOEXCEPT {return ::tanhf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return ::tanhl(__lcpp_x);}
+#endif
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tanh(_A1 __lcpp_x) _NOEXCEPT {return ::tanh((double)__lcpp_x);}
+
+// acosh
+
+inline _LIBCPP_INLINE_VISIBILITY float acosh(float __lcpp_x) _NOEXCEPT {return ::acoshf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return ::acoshl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+acosh(_A1 __lcpp_x) _NOEXCEPT {return ::acosh((double)__lcpp_x);}
+
+// asinh
+
+inline _LIBCPP_INLINE_VISIBILITY float asinh(float __lcpp_x) _NOEXCEPT {return ::asinhf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return ::asinhl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+asinh(_A1 __lcpp_x) _NOEXCEPT {return ::asinh((double)__lcpp_x);}
+
+// atanh
+
+inline _LIBCPP_INLINE_VISIBILITY float atanh(float __lcpp_x) _NOEXCEPT {return ::atanhf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return ::atanhl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+atanh(_A1 __lcpp_x) _NOEXCEPT {return ::atanh((double)__lcpp_x);}
+
+// cbrt
+
+inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __lcpp_x) _NOEXCEPT {return ::cbrtf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return ::cbrtl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cbrt(_A1 __lcpp_x) _NOEXCEPT {return ::cbrt((double)__lcpp_x);}
+
+// copysign
+
+inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
+ float __lcpp_y) _NOEXCEPT {
+ return ::copysignf(__lcpp_x, __lcpp_y);
+}
+inline _LIBCPP_INLINE_VISIBILITY long double
+copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+ return ::copysignl(__lcpp_x, __lcpp_y);
+}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// erf
+
+inline _LIBCPP_INLINE_VISIBILITY float erf(float __lcpp_x) _NOEXCEPT {return ::erff(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return ::erfl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+erf(_A1 __lcpp_x) _NOEXCEPT {return ::erf((double)__lcpp_x);}
+
+// erfc
+
+inline _LIBCPP_INLINE_VISIBILITY float erfc(float __lcpp_x) _NOEXCEPT {return ::erfcf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return ::erfcl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+erfc(_A1 __lcpp_x) _NOEXCEPT {return ::erfc((double)__lcpp_x);}
+
+// exp2
+
+inline _LIBCPP_INLINE_VISIBILITY float exp2(float __lcpp_x) _NOEXCEPT {return ::exp2f(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return ::exp2l(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+exp2(_A1 __lcpp_x) _NOEXCEPT {return ::exp2((double)__lcpp_x);}
+
+// expm1
+
+inline _LIBCPP_INLINE_VISIBILITY float expm1(float __lcpp_x) _NOEXCEPT {return ::expm1f(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return ::expm1l(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+expm1(_A1 __lcpp_x) _NOEXCEPT {return ::expm1((double)__lcpp_x);}
+
+// fdim
+
+inline _LIBCPP_INLINE_VISIBILITY float fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fdimf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fdiml(__lcpp_x, __lcpp_y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// fma
+
+inline _LIBCPP_INLINE_VISIBILITY float fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT {return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);}
+inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __lcpp_x, long double __lcpp_y, long double __lcpp_z) _NOEXCEPT {return ::fmal(__lcpp_x, __lcpp_y, __lcpp_z);}
+
+template <class _A1, class _A2, class _A3>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value &&
+ std::is_arithmetic<_A3>::value,
+ std::__promote<_A1, _A2, _A3>
+>::type
+fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value &&
+ std::is_same<_A3, __result_type>::value)), "");
+ return ::fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
+}
+
+// fmax
+
+inline _LIBCPP_INLINE_VISIBILITY float fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fmaxf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmaxl(__lcpp_x, __lcpp_y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// fmin
+
+inline _LIBCPP_INLINE_VISIBILITY float fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fminf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fminl(__lcpp_x, __lcpp_y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// hypot
+
+inline _LIBCPP_INLINE_VISIBILITY float hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::hypotf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::hypotl(__lcpp_x, __lcpp_y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// ilogb
+
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT {return ::ilogbf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ::ilogbl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, int>::type
+ilogb(_A1 __lcpp_x) _NOEXCEPT {return ::ilogb((double)__lcpp_x);}
+
+// lgamma
+
+inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __lcpp_x) _NOEXCEPT {return ::lgammaf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return ::lgammal(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+lgamma(_A1 __lcpp_x) _NOEXCEPT {return ::lgamma((double)__lcpp_x);}
+
+// llrint
+
+inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT {return ::llrintf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT {return ::llrintl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, long long>::type
+llrint(_A1 __lcpp_x) _NOEXCEPT {return ::llrint((double)__lcpp_x);}
+
+// llround
+
+inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT {return ::llroundf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT {return ::llroundl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, long long>::type
+llround(_A1 __lcpp_x) _NOEXCEPT {return ::llround((double)__lcpp_x);}
+
+// log1p
+
+inline _LIBCPP_INLINE_VISIBILITY float log1p(float __lcpp_x) _NOEXCEPT {return ::log1pf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return ::log1pl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log1p(_A1 __lcpp_x) _NOEXCEPT {return ::log1p((double)__lcpp_x);}
+
+// log2
+
+inline _LIBCPP_INLINE_VISIBILITY float log2(float __lcpp_x) _NOEXCEPT {return ::log2f(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return ::log2l(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log2(_A1 __lcpp_x) _NOEXCEPT {return ::log2((double)__lcpp_x);}
+
+// logb
+
+inline _LIBCPP_INLINE_VISIBILITY float logb(float __lcpp_x) _NOEXCEPT {return ::logbf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return ::logbl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+logb(_A1 __lcpp_x) _NOEXCEPT {return ::logb((double)__lcpp_x);}
+
+// lrint
+
+inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT {return ::lrintf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {return ::lrintl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, long>::type
+lrint(_A1 __lcpp_x) _NOEXCEPT {return ::lrint((double)__lcpp_x);}
+
+// lround
+
+inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT {return ::lroundf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {return ::lroundl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, long>::type
+lround(_A1 __lcpp_x) _NOEXCEPT {return ::lround((double)__lcpp_x);}
+
+// nan
+
+// nearbyint
+
+inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __lcpp_x) _NOEXCEPT {return ::nearbyintf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return ::nearbyintl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+nearbyint(_A1 __lcpp_x) _NOEXCEPT {return ::nearbyint((double)__lcpp_x);}
+
+// nextafter
+
+inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::nextafterf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nextafterl(__lcpp_x, __lcpp_y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// nexttoward
+
+inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardl(__lcpp_x, __lcpp_y);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttoward((double)__lcpp_x, __lcpp_y);}
+
+// remainder
+
+inline _LIBCPP_INLINE_VISIBILITY float remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::remainderf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::remainderl(__lcpp_x, __lcpp_y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y);
+}
+
+// remquo
+
+inline _LIBCPP_INLINE_VISIBILITY float remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT {return ::remquof(__lcpp_x, __lcpp_y, __lcpp_z);}
+inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __lcpp_x, long double __lcpp_y, int* __lcpp_z) _NOEXCEPT {return ::remquol(__lcpp_x, __lcpp_y, __lcpp_z);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::__lazy_enable_if
+<
+ std::is_arithmetic<_A1>::value &&
+ std::is_arithmetic<_A2>::value,
+ std::__promote<_A1, _A2>
+>::type
+remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT
+{
+ typedef typename std::__promote<_A1, _A2>::type __result_type;
+ static_assert((!(std::is_same<_A1, __result_type>::value &&
+ std::is_same<_A2, __result_type>::value)), "");
+ return ::remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z);
+}
+
+// rint
+
+inline _LIBCPP_INLINE_VISIBILITY float rint(float __lcpp_x) _NOEXCEPT {return ::rintf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT {return ::rintl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+rint(_A1 __lcpp_x) _NOEXCEPT {return ::rint((double)__lcpp_x);}
+
+// round
+
+inline _LIBCPP_INLINE_VISIBILITY float round(float __lcpp_x) _NOEXCEPT {return ::roundf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT {return ::roundl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+round(_A1 __lcpp_x) _NOEXCEPT {return ::round((double)__lcpp_x);}
+
+// scalbln
+
+inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnl(__lcpp_x, __lcpp_y);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalbln((double)__lcpp_x, __lcpp_y);}
+
+// scalbn
+
+inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnf(__lcpp_x, __lcpp_y);}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnl(__lcpp_x, __lcpp_y);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbn((double)__lcpp_x, __lcpp_y);}
+
+// tgamma
+
+inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __lcpp_x) _NOEXCEPT {return ::tgammaf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return ::tgammal(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tgamma(_A1 __lcpp_x) _NOEXCEPT {return ::tgamma((double)__lcpp_x);}
+
+// trunc
+
+inline _LIBCPP_INLINE_VISIBILITY float trunc(float __lcpp_x) _NOEXCEPT {return ::truncf(__lcpp_x);}
+inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT {return ::truncl(__lcpp_x);}
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+trunc(_A1 __lcpp_x) _NOEXCEPT {return ::trunc((double)__lcpp_x);}
+
+} // extern "C++"
+
+#endif // __cplusplus
+
+#endif // _LIBCPP_MATH_H