diff --git a/include/cmath b/include/cmath
index 76d7a82..a70bbf2 100644
--- a/include/cmath
+++ b/include/cmath
@@ -316,7 +316,7 @@
 template <class _A1>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_signbit(_A1 __x)
+__libcpp_signbit(_A1 __x) _NOEXCEPT
 {
     return signbit(__x);
 }
@@ -326,7 +326,7 @@
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
-signbit(_A1 __x)
+signbit(_A1 __x) _NOEXCEPT
 {
     return __libcpp_signbit(__x);
 }
@@ -340,7 +340,7 @@
 template <class _A1>
 _LIBCPP_ALWAYS_INLINE
 int
-__libcpp_fpclassify(_A1 __x)
+__libcpp_fpclassify(_A1 __x) _NOEXCEPT
 {
     return fpclassify(__x);
 }
@@ -350,7 +350,7 @@
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
-fpclassify(_A1 __x)
+fpclassify(_A1 __x) _NOEXCEPT
 {
     return __libcpp_fpclassify(__x);
 }
@@ -364,7 +364,7 @@
 template <class _A1>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isfinite(_A1 __x)
+__libcpp_isfinite(_A1 __x) _NOEXCEPT
 {
     return isfinite(__x);
 }
@@ -374,7 +374,7 @@
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
-isfinite(_A1 __x)
+isfinite(_A1 __x) _NOEXCEPT
 {
     return __libcpp_isfinite(__x);
 }
@@ -388,7 +388,7 @@
 template <class _A1>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isinf(_A1 __x)
+__libcpp_isinf(_A1 __x) _NOEXCEPT
 {
     return isinf(__x);
 }
@@ -398,7 +398,7 @@
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
-isinf(_A1 __x)
+isinf(_A1 __x) _NOEXCEPT
 {
     return __libcpp_isinf(__x);
 }
@@ -412,7 +412,7 @@
 template <class _A1>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isnan(_A1 __x)
+__libcpp_isnan(_A1 __x) _NOEXCEPT
 {
     return isnan(__x);
 }
@@ -422,7 +422,7 @@
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
-isnan(_A1 __x)
+isnan(_A1 __x) _NOEXCEPT
 {
     return __libcpp_isnan(__x);
 }
@@ -436,7 +436,7 @@
 template <class _A1>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isnormal(_A1 __x)
+__libcpp_isnormal(_A1 __x) _NOEXCEPT
 {
     return isnormal(__x);
 }
@@ -446,7 +446,7 @@
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
-isnormal(_A1 __x)
+isnormal(_A1 __x) _NOEXCEPT
 {
     return __libcpp_isnormal(__x);
 }
@@ -460,7 +460,7 @@
 template <class _A1, class _A2>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isgreater(_A1 __x, _A2 __y)
+__libcpp_isgreater(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return isgreater(__x, __y);
 }
@@ -475,7 +475,7 @@
     std::is_floating_point<_A2>::value,
     bool
 >::type
-isgreater(_A1 __x, _A2 __y)
+isgreater(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return __libcpp_isgreater(__x, __y);
 }
@@ -489,7 +489,7 @@
 template <class _A1, class _A2>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isgreaterequal(_A1 __x, _A2 __y)
+__libcpp_isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return isgreaterequal(__x, __y);
 }
@@ -504,7 +504,7 @@
     std::is_floating_point<_A2>::value,
     bool
 >::type
-isgreaterequal(_A1 __x, _A2 __y)
+isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return __libcpp_isgreaterequal(__x, __y);
 }
@@ -518,7 +518,7 @@
 template <class _A1, class _A2>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isless(_A1 __x, _A2 __y)
+__libcpp_isless(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return isless(__x, __y);
 }
@@ -533,7 +533,7 @@
     std::is_floating_point<_A2>::value,
     bool
 >::type
-isless(_A1 __x, _A2 __y)
+isless(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return __libcpp_isless(__x, __y);
 }
@@ -547,7 +547,7 @@
 template <class _A1, class _A2>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_islessequal(_A1 __x, _A2 __y)
+__libcpp_islessequal(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return islessequal(__x, __y);
 }
@@ -562,7 +562,7 @@
     std::is_floating_point<_A2>::value,
     bool
 >::type
-islessequal(_A1 __x, _A2 __y)
+islessequal(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return __libcpp_islessequal(__x, __y);
 }
@@ -576,7 +576,7 @@
 template <class _A1, class _A2>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_islessgreater(_A1 __x, _A2 __y)
+__libcpp_islessgreater(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return islessgreater(__x, __y);
 }
@@ -591,7 +591,7 @@
     std::is_floating_point<_A2>::value,
     bool
 >::type
-islessgreater(_A1 __x, _A2 __y)
+islessgreater(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return __libcpp_islessgreater(__x, __y);
 }
@@ -605,7 +605,7 @@
 template <class _A1, class _A2>
 _LIBCPP_ALWAYS_INLINE
 bool
-__libcpp_isunordered(_A1 __x, _A2 __y)
+__libcpp_isunordered(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return isunordered(__x, __y);
 }
@@ -620,7 +620,7 @@
     std::is_floating_point<_A2>::value,
     bool
 >::type
-isunordered(_A1 __x, _A2 __y)
+isunordered(_A1 __x, _A2 __y) _NOEXCEPT
 {
     return __libcpp_isunordered(__x, __y);
 }
@@ -650,15 +650,15 @@
 
 inline _LIBCPP_INLINE_VISIBILITY
 float
-abs(float __x) {return fabsf(__x);}
+abs(float __x) _NOEXCEPT {return fabsf(__x);}
 
 inline _LIBCPP_INLINE_VISIBILITY
 double
-abs(double __x) {return fabs(__x);}
+abs(double __x) _NOEXCEPT {return fabs(__x);}
 
 inline _LIBCPP_INLINE_VISIBILITY
 long double
-abs(long double __x) {return fabsl(__x);}
+abs(long double __x) _NOEXCEPT {return fabsl(__x);}
 
 #ifndef __sun__
 
@@ -668,14 +668,14 @@
 using ::acosf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       acos(float __x)       {return acosf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __x) {return acosl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       acos(float __x) _NOEXCEPT       {return acosf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __x) _NOEXCEPT {return acosl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-acos(_A1 __x) {return acos((double)__x);}
+acos(_A1 __x) _NOEXCEPT {return acos((double)__x);}
 
 // asin
 
@@ -683,14 +683,14 @@
 using ::asinf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       asin(float __x)       {return asinf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __x) {return asinl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       asin(float __x) _NOEXCEPT       {return asinf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __x) _NOEXCEPT {return asinl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-asin(_A1 __x) {return asin((double)__x);}
+asin(_A1 __x) _NOEXCEPT {return asin((double)__x);}
 
 // atan
 
@@ -698,14 +698,14 @@
 using ::atanf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       atan(float __x)       {return atanf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __x) {return atanl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       atan(float __x) _NOEXCEPT       {return atanf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __x) _NOEXCEPT {return atanl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-atan(_A1 __x) {return atan((double)__x);}
+atan(_A1 __x) _NOEXCEPT {return atan((double)__x);}
 
 // atan2
 
@@ -713,8 +713,8 @@
 using ::atan2f;
 
 #ifndef _MSC_VER
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       atan2(float __y, float __x) _NOEXCEPT             {return atan2f(__y, __x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __y, long double __x) _NOEXCEPT {return atan2l(__y, __x);}
 #endif
 
 template <class _A1, class _A2>
@@ -725,7 +725,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-atan2(_A1 __y, _A2 __x)
+atan2(_A1 __y, _A2 __x) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -739,14 +739,14 @@
 using ::ceilf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __x)       {return ceilf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __x) {return ceill(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __x) _NOEXCEPT       {return ceilf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __x) _NOEXCEPT {return ceill(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-ceil(_A1 __x) {return ceil((double)__x);}
+ceil(_A1 __x) _NOEXCEPT {return ceil((double)__x);}
 
 // cos
 
@@ -754,14 +754,14 @@
 using ::cosf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       cos(float __x)       {return cosf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __x) {return cosl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       cos(float __x) _NOEXCEPT       {return cosf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __x) _NOEXCEPT {return cosl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_ALWAYS_INLINE _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-cos(_A1 __x) {return cos((double)__x);}
+cos(_A1 __x) _NOEXCEPT {return cos((double)__x);}
 
 // cosh
 
@@ -769,14 +769,14 @@
 using ::coshf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __x)       {return coshf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __x) {return coshl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __x) _NOEXCEPT       {return coshf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __x) _NOEXCEPT {return coshl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-cosh(_A1 __x) {return cosh((double)__x);}
+cosh(_A1 __x) _NOEXCEPT {return cosh((double)__x);}
 
 #endif // __sun__
 // exp
@@ -787,15 +787,15 @@
 #ifndef __sun__
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       exp(float __x)       {return expf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __x) {return expl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       exp(float __x) _NOEXCEPT       {return expf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __x) _NOEXCEPT {return expl(__x);}
 #endif
 
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-exp(_A1 __x) {return exp((double)__x);}
+exp(_A1 __x) _NOEXCEPT {return exp((double)__x);}
 
 // fabs
 
@@ -803,14 +803,14 @@
 using ::fabsf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __x)       {return fabsf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __x) {return fabsl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __x) _NOEXCEPT       {return fabsf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __x) _NOEXCEPT {return fabsl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-fabs(_A1 __x) {return fabs((double)__x);}
+fabs(_A1 __x) _NOEXCEPT {return fabs((double)__x);}
 
 // floor
 
@@ -818,14 +818,14 @@
 using ::floorf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       floor(float __x)       {return floorf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __x) {return floorl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       floor(float __x) _NOEXCEPT       {return floorf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __x) _NOEXCEPT {return floorl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-floor(_A1 __x) {return floor((double)__x);}
+floor(_A1 __x) _NOEXCEPT {return floor((double)__x);}
 
 // fmod
 
@@ -835,8 +835,8 @@
 #ifndef __sun__
 
 #ifndef _MSC_VER
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       fmod(float __x, float __y) _NOEXCEPT             {return fmodf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __x, long double __y) _NOEXCEPT {return fmodl(__x, __y);}
 #endif
 
 template <class _A1, class _A2>
@@ -847,7 +847,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-fmod(_A1 __x, _A2 __y)
+fmod(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -862,14 +862,14 @@
 using ::frexpf;
 
 #ifndef _MSC_VER
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       frexp(float __x, int* __e) _NOEXCEPT       {return frexpf(__x, __e);}
+inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __x, int* __e) _NOEXCEPT {return frexpl(__x, __e);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-frexp(_A1 __x, int* __e) {return frexp((double)__x, __e);}
+frexp(_A1 __x, int* __e) _NOEXCEPT {return frexp((double)__x, __e);}
 
 // ldexp
 
@@ -877,14 +877,14 @@
 using ::ldexpf;
 
 #ifndef _MSC_VER
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       ldexp(float __x, int __e) _NOEXCEPT       {return ldexpf(__x, __e);}
+inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __x, int __e) _NOEXCEPT {return ldexpl(__x, __e);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-ldexp(_A1 __x, int __e) {return ldexp((double)__x, __e);}
+ldexp(_A1 __x, int __e) _NOEXCEPT {return ldexp((double)__x, __e);}
 
 // log
 
@@ -894,14 +894,14 @@
 #ifndef __sun__
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       log(float __x)       {return logf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double log(long double __x) {return logl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       log(float __x) _NOEXCEPT       {return logf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log(long double __x) _NOEXCEPT {return logl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-log(_A1 __x) {return log((double)__x);}
+log(_A1 __x) _NOEXCEPT {return log((double)__x);}
 
 
 // log10
@@ -910,14 +910,14 @@
 using ::log10f;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       log10(float __x)       {return log10f(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __x) {return log10l(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       log10(float __x) _NOEXCEPT       {return log10f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __x) _NOEXCEPT {return log10l(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-log10(_A1 __x) {return log10((double)__x);}
+log10(_A1 __x) _NOEXCEPT {return log10((double)__x);}
 
 // modf
 
@@ -925,8 +925,8 @@
 using ::modff;
 
 #ifndef _MSC_VER
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       modf(float __x, float* __y) _NOEXCEPT             {return modff(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __x, long double* __y) _NOEXCEPT {return modfl(__x, __y);}
 #endif
 
 // pow
@@ -938,8 +938,8 @@
 #ifndef __sun__
 
 #ifndef _MSC_VER
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       pow(float __x, float __y) _NOEXCEPT             {return powf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __x, long double __y) _NOEXCEPT {return powl(__x, __y);}
 #endif
 
 template <class _A1, class _A2>
@@ -950,7 +950,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-pow(_A1 __x, _A2 __y)
+pow(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -965,14 +965,14 @@
 using ::sinf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       sin(float __x)       {return sinf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __x) {return sinl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       sin(float __x) _NOEXCEPT       {return sinf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __x) _NOEXCEPT {return sinl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-sin(_A1 __x) {return sin((double)__x);}
+sin(_A1 __x) _NOEXCEPT {return sin((double)__x);}
 
 // sinh
 
@@ -980,14 +980,14 @@
 using ::sinhf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __x)       {return sinhf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __x) {return sinhl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __x) _NOEXCEPT       {return sinhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __x) _NOEXCEPT {return sinhl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-sinh(_A1 __x) {return sinh((double)__x);}
+sinh(_A1 __x) _NOEXCEPT {return sinh((double)__x);}
 
 // sqrt
 
@@ -997,14 +997,14 @@
 
 
 #if !(defined(_MSC_VER) || defined(__sun__))
-inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __x)       {return sqrtf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __x) {return sqrtl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __x) _NOEXCEPT       {return sqrtf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __x) _NOEXCEPT {return sqrtl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-sqrt(_A1 __x) {return sqrt((double)__x);}
+sqrt(_A1 __x) _NOEXCEPT {return sqrt((double)__x);}
 
 // tan
 
@@ -1013,14 +1013,14 @@
 #ifndef __sun__
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       tan(float __x)       {return tanf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __x) {return tanl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       tan(float __x) _NOEXCEPT       {return tanf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __x) _NOEXCEPT {return tanl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-tan(_A1 __x) {return tan((double)__x);}
+tan(_A1 __x) _NOEXCEPT {return tan((double)__x);}
 
 // tanh
 
@@ -1028,14 +1028,14 @@
 using ::tanhf;
 
 #ifndef _MSC_VER
-inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __x)       {return tanhf(__x);}
-inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __x) {return tanhl(__x);}
+inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __x) _NOEXCEPT       {return tanhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __x) _NOEXCEPT {return tanhl(__x);}
 #endif
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-tanh(_A1 __x) {return tanh((double)__x);}
+tanh(_A1 __x) _NOEXCEPT {return tanh((double)__x);}
 
 // acosh
 
@@ -1043,13 +1043,13 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       acosh(float __x) _NOEXCEPT       {return acoshf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __x) _NOEXCEPT {return acoshl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-acosh(_A1 __x) {return acosh((double)__x);}
+acosh(_A1 __x) _NOEXCEPT {return acosh((double)__x);}
 #endif
 
 // asinh
@@ -1058,13 +1058,13 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       asinh(float __x) _NOEXCEPT       {return asinhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __x) _NOEXCEPT {return asinhl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-asinh(_A1 __x) {return asinh((double)__x);}
+asinh(_A1 __x) _NOEXCEPT {return asinh((double)__x);}
 #endif
 
 // atanh
@@ -1073,13 +1073,13 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       atanh(float __x) _NOEXCEPT       {return atanhf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __x) _NOEXCEPT {return atanhl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-atanh(_A1 __x) {return atanh((double)__x);}
+atanh(_A1 __x) _NOEXCEPT {return atanh((double)__x);}
 #endif
 
 // cbrt
@@ -1088,13 +1088,13 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       cbrt(float __x) _NOEXCEPT       {return cbrtf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __x) _NOEXCEPT {return cbrtl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-cbrt(_A1 __x) {return cbrt((double)__x);}
+cbrt(_A1 __x) _NOEXCEPT {return cbrt((double)__x);}
 #endif
 
 // copysign
@@ -1102,8 +1102,8 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       copysign(float __x, float __y) _NOEXCEPT             {return copysignf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double copysign(long double __x, long double __y) _NOEXCEPT {return copysignl(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1113,7 +1113,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-copysign(_A1 __x, _A2 __y)
+copysign(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1128,60 +1128,60 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       erf(float __x) _NOEXCEPT       {return erff(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __x) _NOEXCEPT {return erfl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-erf(_A1 __x) {return erf((double)__x);}
+erf(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       erfc(float __x) _NOEXCEPT       {return erfcf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __x) _NOEXCEPT {return erfcl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-erfc(_A1 __x) {return erfc((double)__x);}
+erfc(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       exp2(float __x) _NOEXCEPT       {return exp2f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __x) _NOEXCEPT {return exp2l(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-exp2(_A1 __x) {return exp2((double)__x);}
+exp2(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       expm1(float __x) _NOEXCEPT       {return expm1f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __x) _NOEXCEPT {return expm1l(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-expm1(_A1 __x) {return expm1((double)__x);}
+expm1(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       fdim(float __x, float __y) _NOEXCEPT             {return fdimf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __x, long double __y) _NOEXCEPT {return fdiml(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1191,7 +1191,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-fdim(_A1 __x, _A2 __y)
+fdim(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1201,13 +1201,13 @@
 
 // fma
 
-inline _LIBCPP_INLINE_VISIBILITY float fmaf(float __x, float __y, float __z) {return (float)((double)__x*__y + __z);}
+inline _LIBCPP_INLINE_VISIBILITY float fmaf(float __x, float __y, float __z) _NOEXCEPT {return (float)((double)__x*__y + __z);}
 #define FP_FAST_FMAF
 
 using ::fma;
 
-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);}
+inline _LIBCPP_INLINE_VISIBILITY float       fma(float __x, float __y, float __z) _NOEXCEPT                   {return fmaf(__x, __y, __z);}
+inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __x, long double __y, long double __z) _NOEXCEPT {return fmal(__x, __y, __z);}
 
 template <class _A1, class _A2, class _A3>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1218,7 +1218,7 @@
     is_arithmetic<_A3>::value,
     typename __promote<_A1, _A2, _A3>::type
 >::type
-fma(_A1 __x, _A2 __y, _A3 __z)
+fma(_A1 __x, _A2 __y, _A3 __z) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2, _A3>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1232,8 +1232,8 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       fmax(float __x, float __y) _NOEXCEPT             {return fmaxf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __x, long double __y) _NOEXCEPT {return fmaxl(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1243,7 +1243,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-fmax(_A1 __x, _A2 __y)
+fmax(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1256,8 +1256,8 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       fmin(float __x, float __y) _NOEXCEPT             {return fminf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __x, long double __y) _NOEXCEPT {return fminl(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1267,7 +1267,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-fmin(_A1 __x, _A2 __y)
+fmin(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1280,8 +1280,8 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       hypot(float __x, float __y) _NOEXCEPT             {return hypotf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __x, long double __y) _NOEXCEPT {return hypotl(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1291,7 +1291,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-hypot(_A1 __x, _A2 __y)
+hypot(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1304,27 +1304,27 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __x) _NOEXCEPT       {return ilogbf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __x) _NOEXCEPT {return ilogbl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, int>::type
-ilogb(_A1 __x) {return ilogb((double)__x);}
+ilogb(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       lgamma(float __x) _NOEXCEPT       {return lgammaf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __x) _NOEXCEPT {return lgammal(__x);}
 
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-lgamma(_A1 __x) {return lgamma((double)__x);}
+lgamma(_A1 __x) _NOEXCEPT {return lgamma((double)__x);}
 
 
 // llrint
@@ -1332,91 +1332,91 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __x) _NOEXCEPT       {return llrintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __x) _NOEXCEPT {return llrintl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, long long>::type
-llrint(_A1 __x) {return llrint((double)__x);}
+llrint(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY long long llround(float __x) _NOEXCEPT       {return llroundf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __x) _NOEXCEPT {return llroundl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, long long>::type
-llround(_A1 __x) {return llround((double)__x);}
+llround(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       log1p(float __x) _NOEXCEPT       {return log1pf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __x) _NOEXCEPT {return log1pl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-log1p(_A1 __x) {return log1p((double)__x);}
+log1p(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       log2(float __x) _NOEXCEPT       {return log2f(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __x) _NOEXCEPT {return log2l(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-log2(_A1 __x) {return log2((double)__x);}
+log2(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       logb(float __x) _NOEXCEPT       {return logbf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __x) _NOEXCEPT {return logbl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-logb(_A1 __x) {return logb((double)__x);}
+logb(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY long lrint(float __x) _NOEXCEPT       {return lrintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __x) _NOEXCEPT {return lrintl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, long>::type
-lrint(_A1 __x) {return lrint((double)__x);}
+lrint(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY long lround(float __x) _NOEXCEPT       {return lroundf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long lround(long double __x) _NOEXCEPT {return lroundl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, long>::type
-lround(_A1 __x) {return lround((double)__x);}
+lround(_A1 __x) _NOEXCEPT {return lround((double)__x);}
 
 // nan
 #endif // _MSC_VER
@@ -1431,21 +1431,21 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       nearbyint(float __x) _NOEXCEPT       {return nearbyintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __x) _NOEXCEPT {return nearbyintl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-nearbyint(_A1 __x) {return nearbyint((double)__x);}
+nearbyint(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       nextafter(float __x, float __y) _NOEXCEPT             {return nextafterf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __x, long double __y) _NOEXCEPT {return nextafterl(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1455,7 +1455,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-nextafter(_A1 __x, _A2 __y)
+nextafter(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1468,21 +1468,21 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       nexttoward(float __x, long double __y) _NOEXCEPT       {return nexttowardf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __x, long double __y) _NOEXCEPT {return nexttowardl(__x, __y);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-nexttoward(_A1 __x, long double __y) {return nexttoward((double)__x, __y);}
+nexttoward(_A1 __x, long double __y) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       remainder(float __x, float __y) _NOEXCEPT             {return remainderf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __x, long double __y) _NOEXCEPT {return remainderl(__x, __y);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1492,7 +1492,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-remainder(_A1 __x, _A2 __y)
+remainder(_A1 __x, _A2 __y) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1505,8 +1505,8 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       remquo(float __x, float __y, int* __z) _NOEXCEPT             {return remquof(__x, __y, __z);}
+inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __x, long double __y, int* __z) _NOEXCEPT {return remquol(__x, __y, __z);}
 
 template <class _A1, class _A2>
 inline _LIBCPP_INLINE_VISIBILITY
@@ -1516,7 +1516,7 @@
     is_arithmetic<_A2>::value,
     typename __promote<_A1, _A2>::type
 >::type
-remquo(_A1 __x, _A2 __y, int* __z)
+remquo(_A1 __x, _A2 __y, int* __z) _NOEXCEPT
 {
     typedef typename __promote<_A1, _A2>::type __result_type;
     static_assert((!(is_same<_A1, __result_type>::value &&
@@ -1529,78 +1529,78 @@
 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);}
+inline _LIBCPP_INLINE_VISIBILITY float       rint(float __x) _NOEXCEPT       {return rintf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __x) _NOEXCEPT {return rintl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-rint(_A1 __x) {return rint((double)__x);}
+rint(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       round(float __x) _NOEXCEPT       {return roundf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double round(long double __x) _NOEXCEPT {return roundl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-round(_A1 __x) {return round((double)__x);}
+round(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       scalbln(float __x, long __y) _NOEXCEPT       {return scalblnf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __x, long __y) _NOEXCEPT {return scalblnl(__x, __y);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-scalbln(_A1 __x, long __y) {return scalbln((double)__x, __y);}
+scalbln(_A1 __x, long __y) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       scalbn(float __x, int __y) _NOEXCEPT       {return scalbnf(__x, __y);}
+inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __x, int __y) _NOEXCEPT {return scalbnl(__x, __y);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-scalbn(_A1 __x, int __y) {return scalbn((double)__x, __y);}
+scalbn(_A1 __x, int __y) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       tgamma(float __x) _NOEXCEPT       {return tgammaf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __x) _NOEXCEPT {return tgammal(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-tgamma(_A1 __x) {return tgamma((double)__x);}
+tgamma(_A1 __x) _NOEXCEPT {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);}
+inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __x) _NOEXCEPT       {return truncf(__x);}
+inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __x) _NOEXCEPT {return truncl(__x);}
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
 typename enable_if<is_integral<_A1>::value, double>::type
-trunc(_A1 __x) {return trunc((double)__x);}
+trunc(_A1 __x) _NOEXCEPT {return trunc((double)__x);}
 
 #endif // !_MSC_VER