Index: libcxx/include/complex
===================================================================
--- libcxx/include/complex
+++ libcxx/include/complex
@@ -874,7 +874,7 @@
 >::type
 arg(_Tp __re)
 {
-    return atan2l(0.L, __re);
+  return atan2(0.L, __re);
 }
 
 template<class _Tp>
Index: libcxx/include/math.h
===================================================================
--- libcxx/include/math.h
+++ libcxx/include/math.h
@@ -790,44 +790,107 @@
 // acos
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float acos(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_acosf)
+  return __builtin_acosf(__lcpp_x);
+#      else
+  return ::acosf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_acosl)
+  return __builtin_acosl(__lcpp_x);
+#      else
+  return ::acosl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+acos(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_acos)
+  return __builtin_acos((double)__lcpp_x);
+#    else
+  return ::acos((double)__lcpp_x);
+#    endif
+}
 
 // asin
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float asin(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_asinf)
+  return __builtin_asinf(__lcpp_x);
+#      else
+  return ::asinf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_asinl)
+  return __builtin_asinl(__lcpp_x);
+#      else
+  return ::asinl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+asin(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_asin)
+  return __builtin_asin((double)__lcpp_x);
+#    else
+  return ::asin((double)__lcpp_x);
+#    endif
+}
 
 // atan
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float atan(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_atanf)
+  return __builtin_atanf(__lcpp_x);
+#      else
+  return ::atanf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_atanl)
+  return __builtin_atanl(__lcpp_x);
+#      else
+  return ::atanl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+atan(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_atan)
+  return __builtin_atan((double)__lcpp_x);
+#    else
+  return ::atan((double)__lcpp_x);
+#    endif
+}
 
 // atan2
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_atan2f)
+  return __builtin_atan2f(__lcpp_y, __lcpp_x);
+#      else
+  return ::atan2f(__lcpp_y, __lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_atan2l)
+  return __builtin_atan2l(__lcpp_y, __lcpp_x);
+#      else
+  return ::atan2l(__lcpp_y, __lcpp_x);
+#      endif
+}
 #    endif
 
 template <class _A1, class _A2>
@@ -849,80 +912,194 @@
 // ceil
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float ceil(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_ceilf)
+  return __builtin_ceilf(__lcpp_x);
+#      else
+  return ::ceilf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_ceill)
+  return __builtin_ceill(__lcpp_x);
+#      else
+  return ::ceill(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+ceil(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_ceil)
+  return __builtin_ceil((double)__lcpp_x);
+#    else
+  return ::ceil((double)__lcpp_x);
+#    endif
+}
 
 // cos
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float cos(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_cosf)
+  return __builtin_cosf(__lcpp_x);
+#      else
+  return ::cosf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_cosl)
+  return __builtin_cosl(__lcpp_x);
+#      else
+  return ::cosl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cos(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_cos)
+  return __builtin_cos((double)__lcpp_x);
+#    else
+  return ::cos((double)__lcpp_x);
+#    endif
+}
 
 // cosh
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float cosh(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_coshf)
+  return __builtin_coshf(__lcpp_x);
+#      else
+  return ::coshf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_coshl)
+  return __builtin_coshl(__lcpp_x);
+#      else
+  return ::coshl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cosh(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_cosh)
+  return __builtin_cosh((double)__lcpp_x);
+#    else
+  return ::cosh((double)__lcpp_x);
+#    endif
+}
 
 // exp
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float exp(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_expf)
+  return __builtin_expf(__lcpp_x);
+#      else
+  return ::expf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_expl)
+  return __builtin_expl(__lcpp_x);
+#      else
+  return ::expl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+exp(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_exp)
+  return __builtin_exp((double)__lcpp_x);
+#    else
+  return ::exp((double)__lcpp_x);
+#    endif
+}
 
 // fabs
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float fabs(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_fabsf)
+  return __builtin_fabsf(__lcpp_x);
+#      else
+  return ::fabsf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_fabsl)
+  return __builtin_fabsl(__lcpp_x);
+#      else
+  return ::fabsl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+fabs(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_fabs)
+  return __builtin_fabs((double)__lcpp_x);
+#    else
+  return ::fabs((double)__lcpp_x);
+#    endif
+}
 
 // floor
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float floor(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_floorf)
+  return __builtin_floorf(__lcpp_x);
+#      else
+  return ::floorf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_floorl)
+  return __builtin_floorl(__lcpp_x);
+#      else
+  return ::floorl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+floor(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_floor)
+  return __builtin_floor((double)__lcpp_x);
+#    else
+  return ::floor((double)__lcpp_x);
+#    endif
+}
 
 // fmod
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#      if __has_builtin(__builtin_fmodf)
+  return __builtin_fmodf(__lcpp_x, __lcpp_y);
+#      else
+  return ::fmodf(__lcpp_x, __lcpp_y);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#      if __has_builtin(__builtin_fmodl)
+  return __builtin_fmodl(__lcpp_x, __lcpp_y);
+#      else
+  return ::fmodl(__lcpp_x, __lcpp_y);
+#      endif
+}
 #    endif
 
 template <class _A1, class _A2>
@@ -944,63 +1121,155 @@
 // frexp
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT {
+#      if __has_builtin(__builtin_frexpf)
+  return __builtin_frexpf(__lcpp_x, __lcpp_e);
+#      else
+  return ::frexpf(__lcpp_x, __lcpp_e);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {
+#      if __has_builtin(__builtin_frexpl)
+  return __builtin_frexpl(__lcpp_x, __lcpp_e);
+#      else
+  return ::frexpl(__lcpp_x, __lcpp_e);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {
+#    if __has_builtin(__builtin_frexp)
+  return __builtin_frexp((double)__lcpp_x, __lcpp_e);
+#    else
+  return ::frexp((double)__lcpp_x, __lcpp_e);
+#    endif
+}
 
 // ldexp
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT {
+#      if __has_builtin(__builtin_ldexpf)
+  return __builtin_ldexpf(__lcpp_x, __lcpp_e);
+#      else
+  return ::ldexpf(__lcpp_x, __lcpp_e);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {
+#      if __has_builtin(__builtin_ldexpl)
+  return __builtin_ldexpl(__lcpp_x, __lcpp_e);
+#      else
+  return ::ldexpl(__lcpp_x, __lcpp_e);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {
+#    if __has_builtin(__builtin_ldexp)
+  return __builtin_ldexp((double)__lcpp_x, __lcpp_e);
+#    else
+  return ::ldexp((double)__lcpp_x, __lcpp_e);
+#    endif
+}
 
 // log
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float log(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_logf)
+  return __builtin_logf(__lcpp_x);
+#      else
+  return ::logf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_logl)
+  return __builtin_logl(__lcpp_x);
+#      else
+  return ::logl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log)
+  return __builtin_log((double)__lcpp_x);
+#    else
+  return ::log((double)__lcpp_x);
+#    endif
+}
 
 // log10
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float log10(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_log10f)
+  return __builtin_log10f(__lcpp_x);
+#      else
+  return ::log10f(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_log10l)
+  return __builtin_log10l(__lcpp_x);
+#      else
+  return ::log10l(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log10(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log10)
+  return __builtin_log10((double)__lcpp_x);
+#    else
+  return ::log10((double)__lcpp_x);
+#    endif
+}
 
 // modf
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT {
+#      if __has_builtin(__builtin_modff)
+  return __builtin_modff(__lcpp_x, __lcpp_y);
+#      else
+  return ::modff(__lcpp_x, __lcpp_y);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {
+#      if __has_builtin(__builtin_modfl)
+  return __builtin_modfl(__lcpp_x, __lcpp_y);
+#      else
+  return ::modfl(__lcpp_x, __lcpp_y);
+#      endif
+}
 #    endif
 
 // pow
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#      if __has_builtin(__builtin_powf)
+  return __builtin_powf(__lcpp_x, __lcpp_y);
+#      else
+  return ::powf(__lcpp_x, __lcpp_y);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#      if __has_builtin(__builtin_powl)
+  return __builtin_powl(__lcpp_x, __lcpp_y);
+#      else
+  return ::powl(__lcpp_x, __lcpp_y);
+#      endif
+}
 #    endif
 
 template <class _A1, class _A2>
@@ -1022,102 +1291,255 @@
 // sin
 
 #    if !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
+inline _LIBCPP_INLINE_VISIBILITY float sin(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_sinf)
+  return __builtin_sinf(__lcpp_x);
+#      else
+  return ::sinf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_sinl)
+  return __builtin_sinl(__lcpp_x);
+#      else
+  return ::sinl(__lcpp_x);
+#      endif
+}
+#    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sin(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_sin)
+  return __builtin_sin((double)__lcpp_x);
+#    else
+  return ::sin((double)__lcpp_x);
+#    endif
+}
 
 // sinh
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float sinh(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_sinhf)
+  return __builtin_sinhf(__lcpp_x);
+#      else
+  return ::sinhf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_sinhl)
+  return __builtin_sinhl(__lcpp_x);
+#      else
+  return ::sinhl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sinh(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_sinh)
+  return __builtin_sinh((double)__lcpp_x);
+#    else
+  return ::sinh((double)__lcpp_x);
+#    endif
+}
 
 // sqrt
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_sqrtf)
+  return __builtin_sqrtf(__lcpp_x);
+#      else
+  return ::sqrtf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_sqrtl)
+  return __builtin_sqrtl(__lcpp_x);
+#      else
+  return ::sqrtl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sqrt(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_sqrt)
+  return __builtin_sqrt((double)__lcpp_x);
+#    else
+  return ::sqrt((double)__lcpp_x);
+#    endif
+}
 
 // tan
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float tan(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_tanf)
+  return __builtin_tanf(__lcpp_x);
+#      else
+  return ::tanf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_tanl)
+  return __builtin_tanl(__lcpp_x);
+#      else
+  return ::tanl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tan(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_tan)
+  return __builtin_tan((double)__lcpp_x);
+#    else
+  return ::tan((double)__lcpp_x);
+#    endif
+}
 
 // tanh
 
 #    if !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);}
+inline _LIBCPP_INLINE_VISIBILITY float tanh(float __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_tanhf)
+  return __builtin_tanhf(__lcpp_x);
+#      else
+  return ::tanhf(__lcpp_x);
+#      endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {
+#      if __has_builtin(__builtin_tanhl)
+  return __builtin_tanhl(__lcpp_x);
+#      else
+  return ::tanhl(__lcpp_x);
+#      endif
+}
 #    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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tanh(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_tanh)
+  return __builtin_tanh((double)__lcpp_x);
+#    else
+  return ::tanh((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float acosh(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_acoshf)
+  return __builtin_acoshf(__lcpp_x);
+#    else
+  return ::acoshf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_acoshl)
+  return __builtin_acoshl(__lcpp_x);
+#    else
+  return ::acoshl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+acosh(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_acosh)
+  return __builtin_acosh((double)__lcpp_x);
+#    else
+  return ::acosh((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float asinh(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_asinhf)
+  return __builtin_asinhf(__lcpp_x);
+#    else
+  return ::asinhf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_asinhl)
+  return __builtin_asinhl(__lcpp_x);
+#    else
+  return ::asinhl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+asinh(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_asinh)
+  return __builtin_asinh((double)__lcpp_x);
+#    else
+  return ::asinh((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float atanh(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_atanhf)
+  return __builtin_atanhf(__lcpp_x);
+#    else
+  return ::atanhf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_atanhl)
+  return __builtin_atanhl(__lcpp_x);
+#    else
+  return ::atanhl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+atanh(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_atanh)
+  return __builtin_atanh((double)__lcpp_x);
+#    else
+  return ::atanh((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_cbrtf)
+  return __builtin_cbrtf(__lcpp_x);
+#    else
+  return ::cbrtf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_cbrtl)
+  return __builtin_cbrtl(__lcpp_x);
+#    else
+  return ::cbrtl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cbrt(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_cbrt)
+  return __builtin_cbrt((double)__lcpp_x);
+#    else
+  return ::cbrt((double)__lcpp_x);
+#    endif
+}
 
 // copysign
 
@@ -1198,48 +1620,128 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float erf(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_erff)
+  return __builtin_erff(__lcpp_x);
+#    else
+  return ::erff(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_erfl)
+  return __builtin_erfl(__lcpp_x);
+#    else
+  return ::erfl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+erf(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_erf)
+  return __builtin_erf((double)__lcpp_x);
+#    else
+  return ::erf((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float erfc(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_erfcf)
+  return __builtin_erfcf(__lcpp_x);
+#    else
+  return ::erfcf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_erfcl)
+  return __builtin_erfcl(__lcpp_x);
+#    else
+  return ::erfcl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+erfc(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_erfc)
+  return __builtin_erfc((double)__lcpp_x);
+#    else
+  return ::erfc((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float exp2(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_exp2f)
+  return __builtin_exp2f(__lcpp_x);
+#    else
+  return ::exp2f(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_exp2l)
+  return __builtin_exp2l(__lcpp_x);
+#    else
+  return ::exp2l(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+exp2(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_exp2)
+  return __builtin_exp2((double)__lcpp_x);
+#    else
+  return ::exp2((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float expm1(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_expm1f)
+  return __builtin_expm1f(__lcpp_x);
+#    else
+  return ::expm1f(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_expm1l)
+  return __builtin_expm1l(__lcpp_x);
+#    else
+  return ::expm1l(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+expm1(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_expm1)
+  return __builtin_expm1((double)__lcpp_x);
+#    else
+  return ::expm1((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_fdimf)
+  return __builtin_fdimf(__lcpp_x, __lcpp_y);
+#    else
+  return ::fdimf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_fdiml)
+  return __builtin_fdiml(__lcpp_x, __lcpp_y);
+#    else
+  return ::fdiml(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1259,13 +1761,12 @@
 
 // fma
 
-inline _LIBCPP_INLINE_VISIBILITY float       fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT
-{
-#if __has_builtin(__builtin_fmaf)
-    return __builtin_fmaf(__lcpp_x, __lcpp_y, __lcpp_z);
-#else
-    return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);
-#endif
+inline _LIBCPP_INLINE_VISIBILITY float fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT {
+#    if __has_builtin(__builtin_fmaf)
+  return __builtin_fmaf(__lcpp_x, __lcpp_y, __lcpp_z);
+#    else
+  return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);
+#    endif
 }
 inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __lcpp_x, long double __lcpp_y, long double __lcpp_z) _NOEXCEPT
 {
@@ -1300,8 +1801,20 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_fmaxf)
+  return __builtin_fmaxf(__lcpp_x, __lcpp_y);
+#    else
+  return ::fmaxf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_fmaxl)
+  return __builtin_fmaxl(__lcpp_x, __lcpp_y);
+#    else
+  return ::fmaxl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1321,8 +1834,20 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_fminf)
+  return __builtin_fminf(__lcpp_x, __lcpp_y);
+#    else
+  return ::fminf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_fminl)
+  return __builtin_fminl(__lcpp_x, __lcpp_y);
+#    else
+  return ::fminl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1342,8 +1867,20 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_hypotf)
+  return __builtin_hypotf(__lcpp_x, __lcpp_y);
+#    else
+  return ::hypotf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_hypotl)
+  return __builtin_hypotl(__lcpp_x, __lcpp_y);
+#    else
+  return ::hypotl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1363,23 +1900,57 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_ilogbf)
+  return __builtin_ilogbf(__lcpp_x);
+#    else
+  return ::ilogbf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_ilogbl)
+  return __builtin_ilogbl(__lcpp_x);
+#    else
+  return ::ilogbl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, int>::type
+ilogb(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_ilogb)
+  return __builtin_ilogb((double)__lcpp_x);
+#    else
+  return ::ilogb((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_lgammaf)
+  return __builtin_lgammaf(__lcpp_x);
+#    else
+  return ::lgammaf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_lgammal)
+  return __builtin_lgammal(__lcpp_x);
+#    else
+  return ::lgammal(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+lgamma(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_lgamma)
+  return __builtin_lgamma((double)__lcpp_x);
+#    else
+  return ::lgamma((double)__lcpp_x);
+#    endif
+}
 
 // llrint
 
@@ -1445,33 +2016,84 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float log1p(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log1pf)
+  return __builtin_log1pf(__lcpp_x);
+#    else
+  return ::log1pf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log1pl)
+  return __builtin_log1pl(__lcpp_x);
+#    else
+  return ::log1pl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log1p(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log1p)
+  return __builtin_log1p((double)__lcpp_x);
+#    else
+  return ::log1p((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float log2(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log2f)
+  return __builtin_log2f(__lcpp_x);
+#    else
+  return ::log2f(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log2l)
+  return __builtin_log2l(__lcpp_x);
+#    else
+  return ::log2l(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log2(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_log2)
+  return __builtin_log2((double)__lcpp_x);
+#    else
+  return ::log2((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float logb(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_logbf)
+  return __builtin_logbf(__lcpp_x);
+#    else
+  return ::logbf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_logbl)
+  return __builtin_logbl(__lcpp_x);
+#    else
+  return ::logbl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+logb(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_logb)
+  return __builtin_logb((double)__lcpp_x);
+#    else
+  return ::logb((double)__lcpp_x);
+#    endif
+}
 
 // lrint
 
@@ -1539,18 +2161,47 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_nearbyintf)
+  return __builtin_nearbyintf(__lcpp_x);
+#    else
+  return ::nearbyintf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_nearbyintl)
+  return __builtin_nearbyintl(__lcpp_x);
+#    else
+  return ::nearbyintl(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+nearbyint(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_nearbyint)
+  return __builtin_nearbyint((double)__lcpp_x);
+#    else
+  return ::nearbyint((double)__lcpp_x);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_nextafterf)
+  return __builtin_nextafterf(__lcpp_x, __lcpp_y);
+#    else
+  return ::nextafterf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_nextafterl)
+  return __builtin_nextafterl(__lcpp_x, __lcpp_y);
+#    else
+  return ::nextafterl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1570,18 +2221,47 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_nexttowardf)
+  return __builtin_nexttowardf(__lcpp_x, __lcpp_y);
+#    else
+  return ::nexttowardf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_nexttowardl)
+  return __builtin_nexttowardl(__lcpp_x, __lcpp_y);
+#    else
+  return ::nexttowardl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_nexttoward)
+  return __builtin_nexttoward((double)__lcpp_x, __lcpp_y);
+#    else
+  return ::nexttoward((double)__lcpp_x, __lcpp_y);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_remainderf)
+  return __builtin_remainderf(__lcpp_x, __lcpp_y);
+#    else
+  return ::remainderf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_remainderl)
+  return __builtin_remainderl(__lcpp_x, __lcpp_y);
+#    else
+  return ::remainderl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1601,8 +2281,21 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT {
+#    if __has_builtin(__builtin_remquof)
+  return __builtin_remquof(__lcpp_x, __lcpp_y, __lcpp_z);
+#    else
+  return ::remquof(__lcpp_x, __lcpp_y, __lcpp_z);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double
+remquo(long double __lcpp_x, long double __lcpp_y, int* __lcpp_z) _NOEXCEPT {
+#    if __has_builtin(__builtin_remquol)
+  return __builtin_remquol(__lcpp_x, __lcpp_y, __lcpp_z);
+#    else
+  return ::remquol(__lcpp_x, __lcpp_y, __lcpp_z);
+#    endif
+}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1622,13 +2315,12 @@
 
 // rint
 
-inline _LIBCPP_INLINE_VISIBILITY float       rint(float __lcpp_x) _NOEXCEPT
-{
-#if __has_builtin(__builtin_rintf)
-    return __builtin_rintf(__lcpp_x);
-#else
-    return ::rintf(__lcpp_x);
-#endif
+inline _LIBCPP_INLINE_VISIBILITY float rint(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_rintf)
+  return __builtin_rintf(__lcpp_x);
+#    else
+  return ::rintf(__lcpp_x);
+#    endif
 }
 inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT
 {
@@ -1653,13 +2345,12 @@
 
 // round
 
-inline _LIBCPP_INLINE_VISIBILITY float       round(float __lcpp_x) _NOEXCEPT
-{
-#if __has_builtin(__builtin_round)
-    return __builtin_round(__lcpp_x);
-#else
-    return ::round(__lcpp_x);
-#endif
+inline _LIBCPP_INLINE_VISIBILITY float round(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_round)
+  return __builtin_round(__lcpp_x);
+#    else
+  return ::round(__lcpp_x);
+#    endif
 }
 inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT
 {
@@ -1684,43 +2375,93 @@
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_scalblnf)
+  return __builtin_scalblnf(__lcpp_x, __lcpp_y);
+#    else
+  return ::scalblnf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_scalblnl)
+  return __builtin_scalblnl(__lcpp_x, __lcpp_y);
+#    else
+  return ::scalblnl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_scalbln)
+  return __builtin_scalbln((double)__lcpp_x, __lcpp_y);
+#    else
+  return ::scalbln((double)__lcpp_x, __lcpp_y);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_scalbnf)
+  return __builtin_scalbnf(__lcpp_x, __lcpp_y);
+#    else
+  return ::scalbnf(__lcpp_x, __lcpp_y);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_scalbnl)
+  return __builtin_scalbnl(__lcpp_x, __lcpp_y);
+#    else
+  return ::scalbnl(__lcpp_x, __lcpp_y);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {
+#    if __has_builtin(__builtin_scalbn)
+  return __builtin_scalbn((double)__lcpp_x, __lcpp_y);
+#    else
+  return ::scalbn((double)__lcpp_x, __lcpp_y);
+#    endif
+}
 
 // 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);}
+inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_tgammaf)
+  return __builtin_tgammaf(__lcpp_x);
+#    else
+  return ::tgammaf(__lcpp_x);
+#    endif
+}
+inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_tgammal)
+  return __builtin_tgammal(__lcpp_x);
+#    else
+  return ::tgammal(__lcpp_x);
+#    endif
+}
 
 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);}
+inline _LIBCPP_INLINE_VISIBILITY typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tgamma(_A1 __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_tgamma)
+  return __builtin_tgamma((double)__lcpp_x);
+#    else
+  return ::tgamma((double)__lcpp_x);
+#    endif
+}
 
 // trunc
 
-inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __lcpp_x) _NOEXCEPT
-{
-#if __has_builtin(__builtin_trunc)
-    return __builtin_trunc(__lcpp_x);
-#else
-    return ::trunc(__lcpp_x);
-#endif
+inline _LIBCPP_INLINE_VISIBILITY float trunc(float __lcpp_x) _NOEXCEPT {
+#    if __has_builtin(__builtin_trunc)
+  return __builtin_trunc(__lcpp_x);
+#    else
+  return ::trunc(__lcpp_x);
+#    endif
 }
 inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT
 {