libcxx initial import
git-svn-id: https://llvm.org/svn/llvm-project/libcxx/trunk@103490 91177308-0d34-0410-b5e6-96231b3b80d8
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+// -*- C++ -*-
+//===---------------------------- cmath -----------------------------------===//
+//
+// ÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊThe LLVM Compiler Infrastructure
+//
+// This file is distributed under the University of Illinois Open Source
+// License. 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(floating_point x);
+
+int fpclassify(floating_point x);
+
+bool isfinite(floating_point x);
+bool isinf(floating_point x);
+bool isnan(floating_point x);
+bool isnormal(floating_point x);
+
+bool isgreater(floating_point x, floating_point y);
+bool isgreaterequal(floating_point x, floating_point y);
+bool isless(floating_point x, floating_point y);
+bool islessequal(floating_point x, floating_point y);
+bool islessgreater(floating_point x, floating_point y);
+bool isunordered(floating_point x, floating_point 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);
+
+} // std
+
+*/
+
+#include <__config>
+#include <math.h>
+#include <type_traits>
+
+#pragma GCC system_header
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+using ::float_t;
+using ::double_t;
+
+// abs
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_floating_point<_A1>::value, _A1>::type
+abs(_A1 __x) {return fabs(__x);}
+
+// acos
+
+using ::acos;
+using ::acosf;
+
+inline _LIBCPP_INLINE_VISIBILITY float acos(float __x) {return acosf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __x) {return acosl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+acos(_A1 __x) {return acos((double)__x);}
+
+// asin
+
+using ::asin;
+using ::asinf;
+
+inline _LIBCPP_INLINE_VISIBILITY float asin(float __x) {return asinf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __x) {return asinl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+asin(_A1 __x) {return asin((double)__x);}
+
+// atan
+
+using ::atan;
+using ::atanf;
+
+inline _LIBCPP_INLINE_VISIBILITY float atan(float __x) {return atanf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __x) {return atanl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+atan(_A1 __x) {return atan((double)__x);}
+
+// atan2
+
+using ::atan2;
+using ::atan2f;
+
+inline _LIBCPP_INLINE_VISIBILITY float atan2(float __y, float __x) {return atan2f(__y, __x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __y, long double __x) {return atan2l(__y, __x);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+atan2(_A1 __y, _A2 __x)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return atan2((__result_type)__y, (__result_type)__x);
+}
+
+// ceil
+
+using ::ceil;
+using ::ceilf;
+
+inline _LIBCPP_INLINE_VISIBILITY float ceil(float __x) {return ceilf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __x) {return ceill(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+ceil(_A1 __x) {return ceil((double)__x);}
+
+// cos
+
+using ::cos;
+using ::cosf;
+
+inline _LIBCPP_INLINE_VISIBILITY float cos(float __x) {return cosf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __x) {return cosl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE _LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+cos(_A1 __x) {return cos((double)__x);}
+
+// cosh
+
+using ::cosh;
+using ::coshf;
+
+inline _LIBCPP_INLINE_VISIBILITY float cosh(float __x) {return coshf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __x) {return coshl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+cosh(_A1 __x) {return cosh((double)__x);}
+
+// exp
+
+using ::exp;
+using ::expf;
+
+inline _LIBCPP_INLINE_VISIBILITY float exp(float __x) {return expf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __x) {return expl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+exp(_A1 __x) {return exp((double)__x);}
+
+// fabs
+
+using ::fabs;
+using ::fabsf;
+
+inline _LIBCPP_INLINE_VISIBILITY float fabs(float __x) {return fabsf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __x) {return fabsl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+fabs(_A1 __x) {return fabs((double)__x);}
+
+// floor
+
+using ::floor;
+using ::floorf;
+
+inline _LIBCPP_INLINE_VISIBILITY float floor(float __x) {return floorf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __x) {return floorl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+floor(_A1 __x) {return floor((double)__x);}
+
+// fmod
+
+using ::fmod;
+using ::fmodf;
+
+inline _LIBCPP_INLINE_VISIBILITY float fmod(float __x, float __y) {return fmodf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __x, long double __y) {return fmodl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+fmod(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return fmod((__result_type)__x, (__result_type)__y);
+}
+
+// frexp
+
+using ::frexp;
+using ::frexpf;
+
+inline _LIBCPP_INLINE_VISIBILITY float frexp(float __x, int* __e) {return frexpf(__x, __e);}
+inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __x, int* __e) {return frexpl(__x, __e);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+frexp(_A1 __x, int* __e) {return frexp((double)__x, __e);}
+
+// ldexp
+
+using ::ldexp;
+using ::ldexpf;
+
+inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __x, int __e) {return ldexpf(__x, __e);}
+inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __x, int __e) {return ldexpl(__x, __e);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+ldexp(_A1 __x, int __e) {return ldexp((double)__x, __e);}
+
+// log
+
+using ::log;
+using ::logf;
+
+inline _LIBCPP_INLINE_VISIBILITY float log(float __x) {return logf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log(long double __x) {return logl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+log(_A1 __x) {return log((double)__x);}
+
+// log10
+
+using ::log10;
+using ::log10f;
+
+inline _LIBCPP_INLINE_VISIBILITY float log10(float __x) {return log10f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __x) {return log10l(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+log10(_A1 __x) {return log10((double)__x);}
+
+// modf
+
+using ::modf;
+using ::modff;
+
+inline _LIBCPP_INLINE_VISIBILITY float modf(float __x, float* __y) {return modff(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __x, long double* __y) {return modfl(__x, __y);}
+
+// pow
+
+using ::pow;
+using ::powf;
+
+inline _LIBCPP_INLINE_VISIBILITY float pow(float __x, float __y) {return powf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __x, long double __y) {return powl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+pow(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return pow((__result_type)__x, (__result_type)__y);
+}
+
+// sin
+
+using ::sin;
+using ::sinf;
+
+inline _LIBCPP_INLINE_VISIBILITY float sin(float __x) {return sinf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __x) {return sinl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+sin(_A1 __x) {return sin((double)__x);}
+
+// sinh
+
+using ::sinh;
+using ::sinhf;
+
+inline _LIBCPP_INLINE_VISIBILITY float sinh(float __x) {return sinhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __x) {return sinhl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+sinh(_A1 __x) {return sinh((double)__x);}
+
+// sqrt
+
+using ::sqrt;
+using ::sqrtf;
+
+inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __x) {return sqrtf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __x) {return sqrtl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+sqrt(_A1 __x) {return sqrt((double)__x);}
+
+// tan
+
+using ::tan;
+using ::tanf;
+
+inline _LIBCPP_INLINE_VISIBILITY float tan(float __x) {return tanf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __x) {return tanl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+tan(_A1 __x) {return tan((double)__x);}
+
+// tanh
+
+using ::tanh;
+using ::tanhf;
+
+inline _LIBCPP_INLINE_VISIBILITY float tanh(float __x) {return tanhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __x) {return tanhl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+tanh(_A1 __x) {return tanh((double)__x);}
+
+// signbit
+
+#ifndef signbit
+#error Implementation error: signbit not defined
+#else
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_signbit(_A1 __x)
+{
+ return signbit(__x);
+}
+
+#undef signbit
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if<is_floating_point<_A1>::value, bool>::type
+signbit(_A1 __x)
+{
+ return __libcpp_signbit(__x);
+}
+
+#endif // signbit
+
+// fpclassify
+
+#ifndef fpclassify
+#error Implementation error: fpclassify not defined
+#else
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+int
+__libcpp_fpclassify(_A1 __x)
+{
+ return fpclassify(__x);
+}
+
+#undef fpclassify
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if<is_floating_point<_A1>::value, int>::type
+fpclassify(_A1 __x)
+{
+ return __libcpp_fpclassify(__x);
+}
+
+#endif // fpclassify
+
+// isfinite
+
+#ifndef isfinite
+#error Implementation error: isfinite not defined
+#else
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isfinite(_A1 __x)
+{
+ return isfinite(__x);
+}
+
+#undef isfinite
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if<is_floating_point<_A1>::value, bool>::type
+isfinite(_A1 __x)
+{
+ return __libcpp_isfinite(__x);
+}
+
+#endif // isfinite
+
+// isinf
+
+#ifndef isinf
+#error Implementation error: isinf not defined
+#else
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isinf(_A1 __x)
+{
+ return isinf(__x);
+}
+
+#undef isinf
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if<is_floating_point<_A1>::value, bool>::type
+isinf(_A1 __x)
+{
+ return __libcpp_isinf(__x);
+}
+
+#endif // isinf
+
+// isnan
+
+#ifndef isnan
+#error Implementation error: isnan not defined
+#else
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isnan(_A1 __x)
+{
+ return isnan(__x);
+}
+
+#undef isnan
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if<is_floating_point<_A1>::value, bool>::type
+isnan(_A1 __x)
+{
+ return __libcpp_isnan(__x);
+}
+
+#endif // isnan
+
+// isnormal
+
+#ifndef isnormal
+#error Implementation error: isnormal not defined
+#else
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isnormal(_A1 __x)
+{
+ return isnormal(__x);
+}
+
+#undef isnormal
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if<is_floating_point<_A1>::value, bool>::type
+isnormal(_A1 __x)
+{
+ return __libcpp_isnormal(__x);
+}
+
+#endif // isnormal
+
+// isgreater
+
+#ifndef isgreater
+#error Implementation error: isgreater not defined
+#else
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isgreater(_A1 __x, _A2 __y)
+{
+ return isgreater(__x, __y);
+}
+
+#undef isgreater
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if
+<
+ is_floating_point<_A1>::value &&
+ is_floating_point<_A2>::value,
+ bool
+>::type
+isgreater(_A1 __x, _A2 __y)
+{
+ return __libcpp_isgreater(__x, __y);
+}
+
+#endif // isgreater
+
+// isgreaterequal
+
+#ifndef isgreaterequal
+#error Implementation error: isgreaterequal not defined
+#else
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isgreaterequal(_A1 __x, _A2 __y)
+{
+ return isgreaterequal(__x, __y);
+}
+
+#undef isgreaterequal
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if
+<
+ is_floating_point<_A1>::value &&
+ is_floating_point<_A2>::value,
+ bool
+>::type
+isgreaterequal(_A1 __x, _A2 __y)
+{
+ return __libcpp_isgreaterequal(__x, __y);
+}
+
+#endif // isgreaterequal
+
+// isless
+
+#ifndef isless
+#error Implementation error: isless not defined
+#else
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isless(_A1 __x, _A2 __y)
+{
+ return isless(__x, __y);
+}
+
+#undef isless
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if
+<
+ is_floating_point<_A1>::value &&
+ is_floating_point<_A2>::value,
+ bool
+>::type
+isless(_A1 __x, _A2 __y)
+{
+ return __libcpp_isless(__x, __y);
+}
+
+#endif // isless
+
+// islessequal
+
+#ifndef islessequal
+#error Implementation error: islessequal not defined
+#else
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_islessequal(_A1 __x, _A2 __y)
+{
+ return islessequal(__x, __y);
+}
+
+#undef islessequal
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if
+<
+ is_floating_point<_A1>::value &&
+ is_floating_point<_A2>::value,
+ bool
+>::type
+islessequal(_A1 __x, _A2 __y)
+{
+ return __libcpp_islessequal(__x, __y);
+}
+
+#endif // islessequal
+
+// islessgreater
+
+#ifndef islessgreater
+#error Implementation error: islessgreater not defined
+#else
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_islessgreater(_A1 __x, _A2 __y)
+{
+ return islessgreater(__x, __y);
+}
+
+#undef islessgreater
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if
+<
+ is_floating_point<_A1>::value &&
+ is_floating_point<_A2>::value,
+ bool
+>::type
+islessgreater(_A1 __x, _A2 __y)
+{
+ return __libcpp_islessgreater(__x, __y);
+}
+
+#endif // islessgreater
+
+// isunordered
+
+#ifndef isunordered
+#error Implementation error: isunordered not defined
+#else
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+bool
+__libcpp_isunordered(_A1 __x, _A2 __y)
+{
+ return isunordered(__x, __y);
+}
+
+#undef isunordered
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+typename enable_if
+<
+ is_floating_point<_A1>::value &&
+ is_floating_point<_A2>::value,
+ bool
+>::type
+isunordered(_A1 __x, _A2 __y)
+{
+ return __libcpp_isunordered(__x, __y);
+}
+
+#endif // isunordered
+
+// acosh
+
+using ::acosh;
+using ::acoshf;
+
+inline _LIBCPP_INLINE_VISIBILITY float acosh(float __x) {return acoshf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __x) {return acoshl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+acosh(_A1 __x) {return acosh((double)__x);}
+
+// asinh
+
+using ::asinh;
+using ::asinhf;
+
+inline _LIBCPP_INLINE_VISIBILITY float asinh(float __x) {return asinhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __x) {return asinhl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+asinh(_A1 __x) {return asinh((double)__x);}
+
+// atanh
+
+using ::atanh;
+using ::atanhf;
+
+inline _LIBCPP_INLINE_VISIBILITY float atanh(float __x) {return atanhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __x) {return atanhl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+atanh(_A1 __x) {return atanh((double)__x);}
+
+// cbrt
+
+using ::cbrt;
+using ::cbrtf;
+
+inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __x) {return cbrtf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __x) {return cbrtl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+cbrt(_A1 __x) {return cbrt((double)__x);}
+
+// copysign
+
+using ::copysign;
+using ::copysignf;
+
+inline _LIBCPP_INLINE_VISIBILITY float copysign(float __x, float __y) {return copysignf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double copysign(long double __x, long double __y) {return copysignl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+copysign(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return copysign((__result_type)__x, (__result_type)__y);
+}
+
+// erf
+
+using ::erf;
+using ::erff;
+
+inline _LIBCPP_INLINE_VISIBILITY float erf(float __x) {return erff(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __x) {return erfl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+erf(_A1 __x) {return erf((double)__x);}
+
+// erfc
+
+using ::erfc;
+using ::erfcf;
+
+inline _LIBCPP_INLINE_VISIBILITY float erfc(float __x) {return erfcf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __x) {return erfcl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+erfc(_A1 __x) {return erfc((double)__x);}
+
+// exp2
+
+using ::exp2;
+using ::exp2f;
+
+inline _LIBCPP_INLINE_VISIBILITY float exp2(float __x) {return exp2f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __x) {return exp2l(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+exp2(_A1 __x) {return exp2((double)__x);}
+
+// expm1
+
+using ::expm1;
+using ::expm1f;
+
+inline _LIBCPP_INLINE_VISIBILITY float expm1(float __x) {return expm1f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __x) {return expm1l(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+expm1(_A1 __x) {return expm1((double)__x);}
+
+// fdim
+
+using ::fdim;
+using ::fdimf;
+
+inline _LIBCPP_INLINE_VISIBILITY float fdim(float __x, float __y) {return fdimf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __x, long double __y) {return fdiml(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+fdim(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return fdim((__result_type)__x, (__result_type)__y);
+}
+
+// fma
+
+inline _LIBCPP_INLINE_VISIBILITY float fmaf(float __x, float __y, float __z) {return (float)((double)__x*__y + __z);}
+#define FP_FAST_FMAF
+
+//#if (defined(__ppc__) || defined(__ppc64__))
+//inline _LIBCPP_INLINE_VISIBILITY double fma(register double __x, register double __y, register double __z) {asm {fmadd __x, __x, __y, __z} return __x;}
+//#define FP_FAST_FMA
+//#else
+using ::fma;
+//#endif
+
+inline _LIBCPP_INLINE_VISIBILITY float fma(float __x, float __y, float __z) {return fmaf(__x, __y, __z);}
+inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __x, long double __y, long double __z) {return fmal(__x, __y, __z);}
+
+template <class _A1, class _A2, class _A3>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value &&
+ is_arithmetic<_A3>::value,
+ typename __promote<_A1, _A2, _A3>::type
+>::type
+fma(_A1 __x, _A2 __y, _A3 __z)
+{
+ 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 fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
+}
+
+// fmax
+
+using ::fmax;
+using ::fmaxf;
+
+inline _LIBCPP_INLINE_VISIBILITY float fmax(float __x, float __y) {return fmaxf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __x, long double __y) {return fmaxl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+fmax(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return fmax((__result_type)__x, (__result_type)__y);
+}
+
+// fmin
+
+using ::fmin;
+using ::fminf;
+
+inline _LIBCPP_INLINE_VISIBILITY float fmin(float __x, float __y) {return fminf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __x, long double __y) {return fminl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+fmin(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return fmin((__result_type)__x, (__result_type)__y);
+}
+
+// hypot
+
+using ::hypot;
+using ::hypotf;
+
+inline _LIBCPP_INLINE_VISIBILITY float hypot(float __x, float __y) {return hypotf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __x, long double __y) {return hypotl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+hypot(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return hypot((__result_type)__x, (__result_type)__y);
+}
+
+// ilogb
+
+using ::ilogb;
+using ::ilogbf;
+
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __x) {return ilogbf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __x) {return ilogbl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, int>::type
+ilogb(_A1 __x) {return ilogb((double)__x);}
+
+// lgamma
+
+using ::lgamma;
+using ::lgammaf;
+
+inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __x) {return lgammaf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __x) {return lgammal(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+lgamma(_A1 __x) {return lgamma((double)__x);}
+
+// llrint
+
+using ::llrint;
+using ::llrintf;
+
+inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __x) {return llrintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __x) {return llrintl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, long long>::type
+llrint(_A1 __x) {return llrint((double)__x);}
+
+// llround
+
+using ::llround;
+using ::llroundf;
+
+inline _LIBCPP_INLINE_VISIBILITY long long llround(float __x) {return llroundf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __x) {return llroundl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, long long>::type
+llround(_A1 __x) {return llround((double)__x);}
+
+// log1p
+
+using ::log1p;
+using ::log1pf;
+
+inline _LIBCPP_INLINE_VISIBILITY float log1p(float __x) {return log1pf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __x) {return log1pl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+log1p(_A1 __x) {return log1p((double)__x);}
+
+// log2
+
+using ::log2;
+using ::log2f;
+
+inline _LIBCPP_INLINE_VISIBILITY float log2(float __x) {return log2f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __x) {return log2l(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+log2(_A1 __x) {return log2((double)__x);}
+
+// logb
+
+using ::logb;
+using ::logbf;
+
+inline _LIBCPP_INLINE_VISIBILITY float logb(float __x) {return logbf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __x) {return logbl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+logb(_A1 __x) {return logb((double)__x);}
+
+// lrint
+
+using ::lrint;
+using ::lrintf;
+
+inline _LIBCPP_INLINE_VISIBILITY long lrint(float __x) {return lrintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __x) {return lrintl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, long>::type
+lrint(_A1 __x) {return lrint((double)__x);}
+
+// lround
+
+using ::lround;
+using ::lroundf;
+
+inline _LIBCPP_INLINE_VISIBILITY long lround(float __x) {return lroundf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long lround(long double __x) {return lroundl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, long>::type
+lround(_A1 __x) {return lround((double)__x);}
+
+// nan
+
+using ::nan;
+using ::nanf;
+
+// nearbyint
+
+using ::nearbyint;
+using ::nearbyintf;
+
+inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __x) {return nearbyintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __x) {return nearbyintl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+nearbyint(_A1 __x) {return nearbyint((double)__x);}
+
+// nextafter
+
+using ::nextafter;
+using ::nextafterf;
+
+inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __x, float __y) {return nextafterf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __x, long double __y) {return nextafterl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+nextafter(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return nextafter((__result_type)__x, (__result_type)__y);
+}
+
+// nexttoward
+
+using ::nexttoward;
+using ::nexttowardf;
+
+inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __x, long double __y) {return nexttowardf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __x, long double __y) {return nexttowardl(__x, __y);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+nexttoward(_A1 __x, long double __y) {return nexttoward((double)__x, __y);}
+
+// remainder
+
+using ::remainder;
+using ::remainderf;
+
+inline _LIBCPP_INLINE_VISIBILITY float remainder(float __x, float __y) {return remainderf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __x, long double __y) {return remainderl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+remainder(_A1 __x, _A2 __y)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return remainder((__result_type)__x, (__result_type)__y);
+}
+
+// remquo
+
+using ::remquo;
+using ::remquof;
+
+inline _LIBCPP_INLINE_VISIBILITY float remquo(float __x, float __y, int* __z) {return remquof(__x, __y, __z);}
+inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __x, long double __y, int* __z) {return remquol(__x, __y, __z);}
+
+template <class _A1, class _A2>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if
+<
+ is_arithmetic<_A1>::value &&
+ is_arithmetic<_A2>::value,
+ typename __promote<_A1, _A2>::type
+>::type
+remquo(_A1 __x, _A2 __y, int* __z)
+{
+ typedef typename __promote<_A1, _A2>::type __result_type;
+ static_assert((!(is_same<_A1, __result_type>::value &&
+ is_same<_A2, __result_type>::value)), "");
+ return remquo((__result_type)__x, (__result_type)__y, __z);
+}
+
+// rint
+
+using ::rint;
+using ::rintf;
+
+inline _LIBCPP_INLINE_VISIBILITY float rint(float __x) {return rintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __x) {return rintl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+rint(_A1 __x) {return rint((double)__x);}
+
+// round
+
+using ::round;
+using ::roundf;
+
+inline _LIBCPP_INLINE_VISIBILITY float round(float __x) {return roundf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double round(long double __x) {return roundl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+round(_A1 __x) {return round((double)__x);}
+
+// scalbln
+
+using ::scalbln;
+using ::scalblnf;
+
+inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __x, long __y) {return scalblnf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __x, long __y) {return scalblnl(__x, __y);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+scalbln(_A1 __x, long __y) {return scalbln((double)__x, __y);}
+
+// scalbn
+
+using ::scalbn;
+using ::scalbnf;
+
+inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __x, int __y) {return scalbnf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __x, int __y) {return scalbnl(__x, __y);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+scalbn(_A1 __x, int __y) {return scalbn((double)__x, __y);}
+
+// tgamma
+
+using ::tgamma;
+using ::tgammaf;
+
+inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __x) {return tgammaf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __x) {return tgammal(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+tgamma(_A1 __x) {return tgamma((double)__x);}
+
+// trunc
+
+using ::trunc;
+using ::truncf;
+
+inline _LIBCPP_INLINE_VISIBILITY float trunc(float __x) {return truncf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __x) {return truncl(__x);}
+
+template <class _A1>
+_LIBCPP_ALWAYS_INLINE
+_LIBCPP_INLINE_VISIBILITY
+typename enable_if<is_integral<_A1>::value, double>::type
+trunc(_A1 __x) {return trunc((double)__x);}
+
+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;
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP_CMATH