[libc++] Granulaize math.h and move the functions to std::__math

[philnik]

Fix qualifiers

[philnik]

Rebased

[philnik]

Try to fix CI

[Mordante]

mostly LGTM, but some minor issue.

libcxx/include/__math/remainder.h

11

Nit: since the file contains modulo to, how about naming the file math_division.h instead or move the modulo to its own file.

libcxx/test/std/depr/depr.c.headers/math_h.pass.cpp

10 ↗

(On Diff #540445)

Why is this needed, can you mention this in the commit message?

[philnik]

libcxx/include/__math/remainder.h

11

I think moving the modules to their own file sounds good.

libcxx/test/std/depr/depr.c.headers/math_h.pass.cpp

10 ↗

(On Diff #540445)

I'll check again whether it's actually needed. This might just be a leftover from trying to fix something. (I suspect it's not actually needed)

[Mordante]

libcxx/test/std/depr/depr.c.headers/math_h.pass.cpp

10 ↗

(On Diff #540445)

It would be great when it's not needed. This feels a bit out of place.

[philnik]

Address comments

[philnik]

Try to fix CI

[philnik]

Try to fix CI

[philnik]

Try to fix CI

[philnik]

Rebased

[philnik]

Fix diff

[philnik]

Try to fix CI

[Mordante]

LGTM, but there is a remark.

libcxx/include/module.modulemap.in

1259 ↗

(On Diff #540864)

Please make sure this is rebased on the latest module map format.

[philnik]

Rebased

[EricWF]

@philnik Changes require descriptions which include the motivation for making the change.

This is not the first time you've been asked to include change descriptions including motivation.

[zibi]

libcxx/include/__math/abs.h

23

@philnik Sorry for the late comment but we just noticed that our build is broken with this commit.

We do run into name collision with __math being a header guard macro defined into one of our internal headers. Can it be change to have a different name, say __math_impl or something like that?

[SeanP]

libcxx/include/__math/abs.h

23

@philnik Sorry for the late comment but we just noticed that our build is broken with this commit.

We do run into name collision with __math being a header guard macro defined into one of our internal headers. Can it be change to have a different name, say __math_impl or something like that?

To clarify it isn't an internal header but the system math.h header. The z/OS system headers tend to use macros like __math or __stdio for the file guard macros.

libcxx/include/CMakeLists.txt

set(files
   __iterator/size.h
   __iterator/sortable.h
   __iterator/unreachable_sentinel.h
   __iterator/wrap_iter.h
   __locale
   __locale_dir/locale_base_api/bsd_locale_defaults.h
   __locale_dir/locale_base_api/bsd_locale_fallbacks.h
   __locale_dir/locale_base_api/locale_guard.h
+  __math/abs.h
+  __math/copysign.h
+  __math/error_functions.h
+  __math/exponential_functions.h
+  __math/fdim.h
+  __math/fma.h
+  __math/gamma.h
+  __math/hyperbolic_functions.h
+  __math/hypot.h
+  __math/inverse_hyperbolic_functions.h
+  __math/inverse_trigonometric_functions.h
+  __math/logarithms.h
+  __math/min_max.h
+  __math/modulo.h
+  __math/remainder.h
+  __math/roots.h
+  __math/rounding_functions.h
+  __math/traits.h
+  __math/trigonometric_functions.h
   __mbstate_t.h
   __mdspan/extents.h
   __mdspan/layout_left.h
   __mdspan/layout_right.h
   __memory/addressof.h
   __memory/align.h
   __memory/aligned_alloc.h
   __memory/allocate_at_least.h

libcxx/include/__math/abs.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_ABS_H
+#define _LIBCPP___MATH_ABS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// fabs
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       fabs(float __x) _NOEXCEPT       {return __builtin_fabsf(__x);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fabs(double __x) _NOEXCEPT {
+  return __builtin_fabs(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fabs(long double __x) _NOEXCEPT {return __builtin_fabsl(__x);}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+fabs(_A1 __x) _NOEXCEPT {return __builtin_fabs((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_ABS_H

libcxx/include/__math/copysign.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_COPYSIGN_H
+#define _LIBCPP___MATH_COPYSIGN_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// copysign
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float copysign(float __x, float __y) _NOEXCEPT {
+  return ::__builtin_copysignf(__x, __y);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double copysign(long double __x, long double __y) _NOEXCEPT {
+  return ::__builtin_copysignl(__x, __y);
+}
+
+template <class _A1, class _A2>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+    copysign(_A1 __x, _A2 __y) _NOEXCEPT {
+  return ::__builtin_copysign(__x, __y);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_COPYSIGN_H

libcxx/include/__math/error_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_ERROR_FUNCTIONS_H
+#define _LIBCPP___MATH_ERROR_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// erf
+
+inline _LIBCPP_HIDE_FROM_ABI float       erf(float __x) _NOEXCEPT       {return __builtin_erff(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double erf(double __x) _NOEXCEPT {
+  return __builtin_erf(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double erf(long double __x) _NOEXCEPT {return __builtin_erfl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+erf(_A1 __x) _NOEXCEPT {return __builtin_erf((double)__x);}
+
+// erfc
+
+inline _LIBCPP_HIDE_FROM_ABI float       erfc(float __x) _NOEXCEPT       {return __builtin_erfcf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double erfc(double __x) _NOEXCEPT {
+  return __builtin_erfc(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double erfc(long double __x) _NOEXCEPT {return __builtin_erfcl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+erfc(_A1 __x) _NOEXCEPT {return __builtin_erfc((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_ERROR_FUNCTIONS_H

libcxx/include/__math/exponential_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_EXPONENTIAL_FUNCTIONS_H
+#define _LIBCPP___MATH_EXPONENTIAL_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// exp
+
+inline _LIBCPP_HIDE_FROM_ABI float       exp(float __x) _NOEXCEPT       {return __builtin_expf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double exp(double __x) _NOEXCEPT {
+  return __builtin_exp(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double exp(long double __x) _NOEXCEPT {return __builtin_expl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+exp(_A1 __x) _NOEXCEPT {return __builtin_exp((double)__x);}
+
+// frexp
+
+inline _LIBCPP_HIDE_FROM_ABI float       frexp(float __x, int* __e) _NOEXCEPT       {return __builtin_frexpf(__x, __e);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double frexp(double __x, int* __e) _NOEXCEPT {
+  return __builtin_frexp(__x, __e);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double frexp(long double __x, int* __e) _NOEXCEPT {return __builtin_frexpl(__x, __e);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+frexp(_A1 __x, int* __e) _NOEXCEPT {return __builtin_frexp((double)__x, __e);}
+
+// ldexp
+
+inline _LIBCPP_HIDE_FROM_ABI float       ldexp(float __x, int __e) _NOEXCEPT       {return __builtin_ldexpf(__x, __e);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double ldexp(double __x, int __e) _NOEXCEPT {
+  return __builtin_ldexp(__x, __e);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double ldexp(long double __x, int __e) _NOEXCEPT {return __builtin_ldexpl(__x, __e);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+ldexp(_A1 __x, int __e) _NOEXCEPT {return __builtin_ldexp((double)__x, __e);}
+
+// exp2
+
+inline _LIBCPP_HIDE_FROM_ABI float       exp2(float __x) _NOEXCEPT       {return __builtin_exp2f(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double exp2(double __x) _NOEXCEPT {
+  return __builtin_exp2(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double exp2(long double __x) _NOEXCEPT {return __builtin_exp2l(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+exp2(_A1 __x) _NOEXCEPT {return __builtin_exp2((double)__x);}
+
+// expm1
+
+inline _LIBCPP_HIDE_FROM_ABI float       expm1(float __x) _NOEXCEPT       {return __builtin_expm1f(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double expm1(double __x) _NOEXCEPT {
+  return __builtin_expm1(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double expm1(long double __x) _NOEXCEPT {return __builtin_expm1l(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+expm1(_A1 __x) _NOEXCEPT {return __builtin_expm1((double)__x);}
+
+// scalbln
+
+inline _LIBCPP_HIDE_FROM_ABI float       scalbln(float __x, long __y) _NOEXCEPT       {return __builtin_scalblnf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double scalbln(double __x, long __y) _NOEXCEPT {
+  return __builtin_scalbln(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double scalbln(long double __x, long __y) _NOEXCEPT {return __builtin_scalblnl(__x, __y);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+scalbln(_A1 __x, long __y) _NOEXCEPT {return __builtin_scalbln((double)__x, __y);}
+
+// scalbn
+
+inline _LIBCPP_HIDE_FROM_ABI float       scalbn(float __x, int __y) _NOEXCEPT       {return __builtin_scalbnf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double scalbn(double __x, int __y) _NOEXCEPT {
+  return __builtin_scalbn(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double scalbn(long double __x, int __y) _NOEXCEPT {return __builtin_scalbnl(__x, __y);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+scalbn(_A1 __x, int __y) _NOEXCEPT {return __builtin_scalbn((double)__x, __y);}
+
+// pow
+
+inline _LIBCPP_HIDE_FROM_ABI float       pow(float __x, float __y) _NOEXCEPT             {return __builtin_powf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double pow(double __x, double __y) _NOEXCEPT {
+  return __builtin_pow(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double pow(long double __x, long double __y) _NOEXCEPT {return __builtin_powl(__x, __y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+pow(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::pow((__result_type)__x, (__result_type)__y);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_EXPONENTIAL_FUNCTIONS_H

libcxx/include/__math/fdim.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_FDIM_H
+#define _LIBCPP___MATH_FDIM_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+inline _LIBCPP_HIDE_FROM_ABI float       fdim(float __x, float __y) _NOEXCEPT             {return __builtin_fdimf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double fdim(double __x, double __y) _NOEXCEPT {
+  return __builtin_fdim(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double fdim(long double __x, long double __y) _NOEXCEPT {return __builtin_fdiml(__x, __y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+fdim(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::fdim((__result_type)__x, (__result_type)__y);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_FDIM_H

libcxx/include/__math/fma.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_FMA_H
+#define _LIBCPP___MATH_FMA_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+inline _LIBCPP_HIDE_FROM_ABI float       fma(float __x, float __y, float __z) _NOEXCEPT
+{
+    return __builtin_fmaf(__x, __y, __z);
+}
+
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double fma(double __x, double __y, double __z) _NOEXCEPT {
+  return __builtin_fma(__x, __y, __z);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double fma(long double __x, long double __y, long double __z) _NOEXCEPT
+{
+    return __builtin_fmal(__x, __y, __z);
+}
+
+template <class _A1, class _A2, class _A3>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value &&
+    std::is_arithmetic<_A3>::value,
+    std::__promote<_A1, _A2, _A3>
+>::type
+fma(_A1 __x, _A2 __y, _A3 __z) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value &&
+                     std::_IsSame<_A3, __result_type>::value)), "");
+    return __builtin_fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_FMA_H

libcxx/include/__math/gamma.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_GAMMA_H
+#define _LIBCPP___MATH_GAMMA_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// lgamma
+
+inline _LIBCPP_HIDE_FROM_ABI float       lgamma(float __x) _NOEXCEPT       {return __builtin_lgammaf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double lgamma(double __x) _NOEXCEPT {
+  return __builtin_lgamma(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double lgamma(long double __x) _NOEXCEPT {return __builtin_lgammal(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+lgamma(_A1 __x) _NOEXCEPT {return __builtin_lgamma((double)__x);}
+
+// nan
+
+// tgamma
+
+inline _LIBCPP_HIDE_FROM_ABI float       tgamma(float __x) _NOEXCEPT       {return __builtin_tgammaf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double tgamma(double __x) _NOEXCEPT {
+  return __builtin_tgamma(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double tgamma(long double __x) _NOEXCEPT {return __builtin_tgammal(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tgamma(_A1 __x) _NOEXCEPT {return __builtin_tgamma((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_GAMMA_H

libcxx/include/__math/hyperbolic_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_HYPERBOLIC_FUNCTIONS_H
+#define _LIBCPP___MATH_HYPERBOLIC_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// cosh
+
+inline _LIBCPP_HIDE_FROM_ABI float       cosh(float __x) _NOEXCEPT       {return __builtin_coshf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double cosh(double __x) _NOEXCEPT {
+  return __builtin_cosh(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double cosh(long double __x) _NOEXCEPT {return __builtin_coshl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cosh(_A1 __x) _NOEXCEPT {return __builtin_cosh((double)__x);}
+
+// sinh
+
+inline _LIBCPP_HIDE_FROM_ABI float       sinh(float __x) _NOEXCEPT       {return __builtin_sinhf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double sinh(double __x) _NOEXCEPT {
+  return __builtin_sinh(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double sinh(long double __x) _NOEXCEPT {return __builtin_sinhl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sinh(_A1 __x) _NOEXCEPT {return __builtin_sinh((double)__x);}
+
+// tanh
+
+inline _LIBCPP_HIDE_FROM_ABI float       tanh(float __x) _NOEXCEPT       {return __builtin_tanhf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double tanh(double __x) _NOEXCEPT {
+  return __builtin_tanh(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double tanh(long double __x) _NOEXCEPT {return __builtin_tanhl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tanh(_A1 __x) _NOEXCEPT {return __builtin_tanh((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_HYPERBOLIC_FUNCTIONS_H

libcxx/include/__math/hypot.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_HYPOT_H
+#define _LIBCPP___MATH_HYPOT_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+inline _LIBCPP_HIDE_FROM_ABI float       hypot(float __x, float __y) _NOEXCEPT             {return __builtin_hypotf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double hypot(double __x, double __y) _NOEXCEPT {
+  return __builtin_hypot(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double hypot(long double __x, long double __y) _NOEXCEPT {return __builtin_hypotl(__x, __y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+hypot(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::hypot((__result_type)__x, (__result_type)__y);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_HYPOT_H

libcxx/include/__math/inverse_hyperbolic_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_INVERSE_HYPERBOLIC_FUNCTIONS_H
+#define _LIBCPP___MATH_INVERSE_HYPERBOLIC_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// acosh
+
+inline _LIBCPP_HIDE_FROM_ABI float       acosh(float __x) _NOEXCEPT       {return __builtin_acoshf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double acosh(double __x) _NOEXCEPT {
+  return __builtin_acosh(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double acosh(long double __x) _NOEXCEPT {return __builtin_acoshl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+acosh(_A1 __x) _NOEXCEPT {return __builtin_acosh((double)__x);}
+
+// asinh
+
+inline _LIBCPP_HIDE_FROM_ABI float       asinh(float __x) _NOEXCEPT       {return __builtin_asinhf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double asinh(double __x) _NOEXCEPT {
+  return __builtin_asinh(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double asinh(long double __x) _NOEXCEPT {return __builtin_asinhl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+asinh(_A1 __x) _NOEXCEPT {return __builtin_asinh((double)__x);}
+
+// atanh
+
+inline _LIBCPP_HIDE_FROM_ABI float       atanh(float __x) _NOEXCEPT       {return __builtin_atanhf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double atanh(double __x) _NOEXCEPT {
+  return __builtin_atanh(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double atanh(long double __x) _NOEXCEPT {return __builtin_atanhl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+atanh(_A1 __x) _NOEXCEPT {return __builtin_atanh((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_INVERSE_HYPERBOLIC_FUNCTIONS_H

libcxx/include/__math/inverse_trigonometric_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_INVERSE_TRIGONOMETRIC_FUNCTIONS_H
+#define _LIBCPP___MATH_INVERSE_TRIGONOMETRIC_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/is_integral.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// acos
+
+inline _LIBCPP_HIDE_FROM_ABI float       acos(float __x) _NOEXCEPT       {return __builtin_acosf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double acos(double __x) _NOEXCEPT {
+  return __builtin_acos(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double acos(long double __x) _NOEXCEPT {return __builtin_acosl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+acos(_A1 __x) _NOEXCEPT {return __builtin_acos((double)__x);}
+
+// asin
+
+inline _LIBCPP_HIDE_FROM_ABI float       asin(float __x) _NOEXCEPT       {return __builtin_asinf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double asin(double __x) _NOEXCEPT {
+  return __builtin_asin(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double asin(long double __x) _NOEXCEPT {return __builtin_asinl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+asin(_A1 __x) _NOEXCEPT {return __builtin_asin((double)__x);}
+
+// atan
+
+inline _LIBCPP_HIDE_FROM_ABI float       atan(float __x) _NOEXCEPT       {return __builtin_atanf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double atan(double __x) _NOEXCEPT {
+  return __builtin_atan(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double atan(long double __x) _NOEXCEPT {return __builtin_atanl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+atan(_A1 __x) _NOEXCEPT {return __builtin_atan((double)__x);}
+
+// atan2
+
+inline _LIBCPP_HIDE_FROM_ABI float       atan2(float __y, float __x) _NOEXCEPT             {return __builtin_atan2f(__y, __x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double atan2(double __x, double __y) _NOEXCEPT {
+  return __builtin_atan2(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double atan2(long double __y, long double __x) _NOEXCEPT {return __builtin_atan2l(__y, __x);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+atan2(_A1 __y, _A2 __x) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::atan2((__result_type)__y, (__result_type)__x);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_INVERSE_TRIGONOMETRIC_FUNCTIONS_H

libcxx/include/__math/logarithms.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_LOGARITHMS_H
+#define _LIBCPP___MATH_LOGARITHMS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// log
+
+inline _LIBCPP_HIDE_FROM_ABI float       log(float __x) _NOEXCEPT       {return __builtin_logf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double log(double __x) _NOEXCEPT {
+  return __builtin_log(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double log(long double __x) _NOEXCEPT {return __builtin_logl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log(_A1 __x) _NOEXCEPT {return __builtin_log((double)__x);}
+
+// log10
+
+inline _LIBCPP_HIDE_FROM_ABI float       log10(float __x) _NOEXCEPT       {return __builtin_log10f(__x);}
+
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double log10(double __x) _NOEXCEPT {
+  return __builtin_log10(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double log10(long double __x) _NOEXCEPT {return __builtin_log10l(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log10(_A1 __x) _NOEXCEPT {return __builtin_log10((double)__x);}
+
+// ilogb
+
+inline _LIBCPP_HIDE_FROM_ABI int ilogb(float __x) _NOEXCEPT       {return __builtin_ilogbf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double ilogb(double __x) _NOEXCEPT {
+  return __builtin_ilogb(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI int ilogb(long double __x) _NOEXCEPT {return __builtin_ilogbl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, int>::type
+ilogb(_A1 __x) _NOEXCEPT {return __builtin_ilogb((double)__x);}
+
+// log1p
+
+inline _LIBCPP_HIDE_FROM_ABI float       log1p(float __x) _NOEXCEPT       {return __builtin_log1pf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double log1p(double __x) _NOEXCEPT {
+  return __builtin_log1p(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double log1p(long double __x) _NOEXCEPT {return __builtin_log1pl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log1p(_A1 __x) _NOEXCEPT {return __builtin_log1p((double)__x);}
+
+// log2
+
+inline _LIBCPP_HIDE_FROM_ABI float       log2(float __x) _NOEXCEPT       {return __builtin_log2f(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double log2(double __x) _NOEXCEPT {
+  return __builtin_log2(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double log2(long double __x) _NOEXCEPT {return __builtin_log2l(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+log2(_A1 __x) _NOEXCEPT {return __builtin_log2((double)__x);}
+
+// logb
+
+inline _LIBCPP_HIDE_FROM_ABI float       logb(float __x) _NOEXCEPT       {return __builtin_logbf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double logb(double __x) _NOEXCEPT {
+  return __builtin_logb(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double logb(long double __x) _NOEXCEPT {return __builtin_logbl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+logb(_A1 __x) _NOEXCEPT {return __builtin_logb((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_LOGARITHMS_H

libcxx/include/__math/min_max.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_MIN_MAX_H
+#define _LIBCPP___MATH_MIN_MAX_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// fmax
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       fmax(float __x, float __y) _NOEXCEPT             {return __builtin_fmaxf(__x, __y);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fmax(double __x, double __y) _NOEXCEPT {
+  return __builtin_fmax(__x, __y);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fmax(long double __x, long double __y) _NOEXCEPT {return __builtin_fmaxl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+fmax(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::fmax((__result_type)__x, (__result_type)__y);
+}
+
+// fmin
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       fmin(float __x, float __y) _NOEXCEPT             {return __builtin_fminf(__x, __y);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fmin(double __x, double __y) _NOEXCEPT {
+  return __builtin_fmin(__x, __y);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fmin(long double __x, long double __y) _NOEXCEPT {return __builtin_fminl(__x, __y);}
+
+template <class _A1, class _A2>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+fmin(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::fmin((__result_type)__x, (__result_type)__y);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_MIN_MAX_H

libcxx/include/__math/modulo.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_MODULO_H
+#define _LIBCPP___MATH_MODULO_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// fmod
+
+inline _LIBCPP_HIDE_FROM_ABI float       fmod(float __x, float __y) _NOEXCEPT             {return __builtin_fmodf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double fmod(double __x, double __y) _NOEXCEPT {
+  return __builtin_fmod(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double fmod(long double __x, long double __y) _NOEXCEPT {return __builtin_fmodl(__x, __y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+fmod(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::fmod((__result_type)__x, (__result_type)__y);
+}
+
+// modf
+
+inline _LIBCPP_HIDE_FROM_ABI float       modf(float __x, float* __y) _NOEXCEPT             {return __builtin_modff(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double modf(double __x, double* __y) _NOEXCEPT {
+  return __builtin_modf(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double modf(long double __x, long double* __y) _NOEXCEPT {return __builtin_modfl(__x, __y);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_MODULO_H

libcxx/include/__math/remainder.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_REMAINDER_H
+#define _LIBCPP___MATH_REMAINDER_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// remainder
+
+inline _LIBCPP_HIDE_FROM_ABI float       remainder(float __x, float __y) _NOEXCEPT             {return __builtin_remainderf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double remainder(double __x, double __y) _NOEXCEPT {
+  return __builtin_remainder(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double remainder(long double __x, long double __y) _NOEXCEPT {return __builtin_remainderl(__x, __y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+remainder(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::remainder((__result_type)__x, (__result_type)__y);
+}
+
+// remquo
+
+inline _LIBCPP_HIDE_FROM_ABI float       remquo(float __x, float __y, int* __z) _NOEXCEPT             {return __builtin_remquof(__x, __y, __z);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double remquo(double __x, double __y, int* __z) _NOEXCEPT {
+  return __builtin_remquo(__x, __y, __z);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double remquo(long double __x, long double __y, int* __z) _NOEXCEPT {return __builtin_remquol(__x, __y, __z);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+remquo(_A1 __x, _A2 __y, int* __z) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::remquo((__result_type)__x, (__result_type)__y, __z);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_REMAINDER_H

libcxx/include/__math/roots.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_ROOTS_H
+#define _LIBCPP___MATH_ROOTS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// sqrt
+
+inline _LIBCPP_HIDE_FROM_ABI float       sqrt(float __x) _NOEXCEPT       {return __builtin_sqrtf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double sqrt(double __x) _NOEXCEPT {
+  return __builtin_sqrt(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double sqrt(long double __x) _NOEXCEPT {return __builtin_sqrtl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sqrt(_A1 __x) _NOEXCEPT {return __builtin_sqrt((double)__x);}
+
+// cbrt
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       cbrt(float __x) _NOEXCEPT       {return __builtin_cbrtf(__x);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double cbrt(double __x) _NOEXCEPT {
+  return __builtin_cbrt(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double cbrt(long double __x) _NOEXCEPT {return __builtin_cbrtl(__x);}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cbrt(_A1 __x) _NOEXCEPT {return __builtin_cbrt((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_ROOTS_H

libcxx/include/__math/rounding_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_ROUNDING_FUNCTIONS_H
+#define _LIBCPP___MATH_ROUNDING_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// ceil
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       ceil(float __x) _NOEXCEPT       {return __builtin_ceilf(__x);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double ceil(double __x) _NOEXCEPT {
+  return __builtin_ceil(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double ceil(long double __x) _NOEXCEPT {return __builtin_ceill(__x);}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+ceil(_A1 __x) _NOEXCEPT {return __builtin_ceil((double)__x);}
+
+// floor
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       floor(float __x) _NOEXCEPT       {return __builtin_floorf(__x);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double floor(double __x) _NOEXCEPT {
+  return __builtin_floor(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double floor(long double __x) _NOEXCEPT {return __builtin_floorl(__x);}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+floor(_A1 __x) _NOEXCEPT {return __builtin_floor((double)__x);}
+
+// llrint
+
+inline _LIBCPP_HIDE_FROM_ABI long long llrint(float __x) _NOEXCEPT
+{
+    return __builtin_llrintf(__x);
+}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI long long llrint(double __x) _NOEXCEPT {
+  return __builtin_llrint(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long long llrint(long double __x) _NOEXCEPT
+{
+    return __builtin_llrintl(__x);
+}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, long long>::type
+llrint(_A1 __x) _NOEXCEPT
+{
+    return __builtin_llrint((double)__x);
+}
+
+// llround
+
+inline _LIBCPP_HIDE_FROM_ABI long long llround(float __x) _NOEXCEPT
+{
+    return __builtin_llroundf(__x);
+}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI long long llround(double __x) _NOEXCEPT {
+  return __builtin_llround(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long long llround(long double __x) _NOEXCEPT
+{
+    return __builtin_llroundl(__x);
+}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, long long>::type
+llround(_A1 __x) _NOEXCEPT
+{
+    return __builtin_llround((double)__x);
+}
+
+// lrint
+
+inline _LIBCPP_HIDE_FROM_ABI long lrint(float __x) _NOEXCEPT
+{
+    return __builtin_lrintf(__x);
+}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI long lrint(double __x) _NOEXCEPT {
+  return __builtin_lrint(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long lrint(long double __x) _NOEXCEPT
+{
+    return __builtin_lrintl(__x);
+}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, long>::type
+lrint(_A1 __x) _NOEXCEPT
+{
+    return __builtin_lrint((double)__x);
+}
+
+// lround
+
+inline _LIBCPP_HIDE_FROM_ABI long lround(float __x) _NOEXCEPT
+{
+    return __builtin_lroundf(__x);
+}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI long lround(double __x) _NOEXCEPT {
+  return __builtin_lround(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long lround(long double __x) _NOEXCEPT
+{
+    return __builtin_lroundl(__x);
+}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, long>::type
+lround(_A1 __x) _NOEXCEPT
+{
+    return __builtin_lround((double)__x);
+}
+
+// nearbyint
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       nearbyint(float __x) _NOEXCEPT       {return __builtin_nearbyintf(__x);}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double nearbyint(double __x) _NOEXCEPT {
+  return __builtin_nearbyint(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double nearbyint(long double __x) _NOEXCEPT {return __builtin_nearbyintl(__x);}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+nearbyint(_A1 __x) _NOEXCEPT {return __builtin_nearbyint((double)__x);}
+
+// nextafter
+
+inline _LIBCPP_HIDE_FROM_ABI float       nextafter(float __x, float __y) _NOEXCEPT             {return __builtin_nextafterf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double nextafter(double __x, double __y) _NOEXCEPT {
+  return __builtin_nextafter(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double nextafter(long double __x, long double __y) _NOEXCEPT {return __builtin_nextafterl(__x, __y);}
+
+template <class _A1, class _A2>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::__enable_if_t
+<
+    std::is_arithmetic<_A1>::value &&
+    std::is_arithmetic<_A2>::value,
+    std::__promote<_A1, _A2>
+>::type
+nextafter(_A1 __x, _A2 __y) _NOEXCEPT
+{
+    typedef typename std::__promote<_A1, _A2>::type __result_type;
+    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
+                     std::_IsSame<_A2, __result_type>::value)), "");
+    return __math::nextafter((__result_type)__x, (__result_type)__y);
+}
+
+// nexttoward
+
+inline _LIBCPP_HIDE_FROM_ABI float       nexttoward(float __x, long double __y) _NOEXCEPT       {return __builtin_nexttowardf(__x, __y);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double nexttoward(double __x, long double __y) _NOEXCEPT {
+  return __builtin_nexttoward(__x, __y);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double nexttoward(long double __x, long double __y) _NOEXCEPT {return __builtin_nexttowardl(__x, __y);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+nexttoward(_A1 __x, long double __y) _NOEXCEPT {return __builtin_nexttoward((double)__x, __y);}
+
+// rint
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       rint(float __x) _NOEXCEPT
+{
+    return __builtin_rintf(__x);
+}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double rint(double __x) _NOEXCEPT {
+  return __builtin_rint(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double rint(long double __x) _NOEXCEPT
+{
+    return __builtin_rintl(__x);
+}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+rint(_A1 __x) _NOEXCEPT
+{
+    return __builtin_rint((double)__x);
+}
+
+// round
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       round(float __x) _NOEXCEPT
+{
+    return __builtin_round(__x);
+}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double round(double __x) _NOEXCEPT {
+  return __builtin_round(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double round(long double __x) _NOEXCEPT
+{
+    return __builtin_roundl(__x);
+}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+round(_A1 __x) _NOEXCEPT
+{
+    return __builtin_round((double)__x);
+}
+
+// trunc
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       trunc(float __x) _NOEXCEPT
+{
+    return __builtin_trunc(__x);
+}
+
+template <class = int>
+_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double trunc(double __x) _NOEXCEPT {
+  return __builtin_trunc(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double trunc(long double __x) _NOEXCEPT
+{
+    return __builtin_truncl(__x);
+}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+trunc(_A1 __x) _NOEXCEPT
+{
+    return __builtin_trunc((double)__x);
+}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_ROUNDING_FUNCTIONS_H

libcxx/include/__math/traits.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_TRAITS_H
+#define _LIBCPP___MATH_TRAITS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/is_floating_point.h>
+#include <__type_traits/is_integral.h>
+#include <__type_traits/is_signed.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// signbit
+
+template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
+  return __builtin_signbit(__x);
+}
+
+template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value && std::is_signed<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
+  return __x < 0;
+}
+
+template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value && !std::is_signed<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1) _NOEXCEPT {
+  return false;
+}
+
+// isfinite
+
+template <class _A1,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1 __x) _NOEXCEPT {
+  return __builtin_isfinite((typename std::__promote<_A1>::type)__x);
+}
+
+template <class _A1,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1) _NOEXCEPT {
+  return true;
+}
+
+// isinf
+
+template <class _A1,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(_A1 __x) _NOEXCEPT {
+  return __builtin_isinf((typename std::__promote<_A1>::type)__x);
+}
+
+template <class _A1>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI
+    typename std::enable_if< std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, bool>::type
+    isinf(_A1) _NOEXCEPT {
+  return false;
+}
+
+#      ifdef _LIBCPP_PREFERRED_OVERLOAD
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(float __x) _NOEXCEPT {
+  return __builtin_isinf(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool isinf(double __x) _NOEXCEPT {
+  return __builtin_isinf(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(long double __x) _NOEXCEPT {
+  return __builtin_isinf(__x);
+}
+#      endif
+
+// isnan
+
+template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1 __x) _NOEXCEPT {
+  return __builtin_isnan(__x);
+}
+
+template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1) _NOEXCEPT {
+  return false;
+}
+
+#      ifdef _LIBCPP_PREFERRED_OVERLOAD
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(float __x) _NOEXCEPT {
+  return __builtin_isnan(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool isnan(double __x) _NOEXCEPT {
+  return __builtin_isnan(__x);
+}
+
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(long double __x) _NOEXCEPT {
+  return __builtin_isnan(__x);
+}
+#      endif
+
+// isnormal
+
+template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
+  return __builtin_isnormal(__x);
+}
+
+template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
+  return __x != 0;
+}
+
+// isgreater
+
+template <class _A1,
+          class _A2,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreater(_A1 __x, _A2 __y) _NOEXCEPT {
+  typedef typename std::__promote<_A1, _A2>::type type;
+  return __builtin_isgreater((type)__x, (type)__y);
+}
+
+// isgreaterequal
+
+template <class _A1,
+          class _A2,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT {
+  typedef typename std::__promote<_A1, _A2>::type type;
+  return __builtin_isgreaterequal((type)__x, (type)__y);
+}
+
+// isless
+
+template <class _A1,
+          class _A2,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isless(_A1 __x, _A2 __y) _NOEXCEPT {
+  typedef typename std::__promote<_A1, _A2>::type type;
+  return __builtin_isless((type)__x, (type)__y);
+}
+
+// islessequal
+
+template <class _A1,
+          class _A2,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessequal(_A1 __x, _A2 __y) _NOEXCEPT {
+  typedef typename std::__promote<_A1, _A2>::type type;
+  return __builtin_islessequal((type)__x, (type)__y);
+}
+
+// islessgreater
+
+template <class _A1,
+          class _A2,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessgreater(_A1 __x, _A2 __y) _NOEXCEPT {
+  typedef typename std::__promote<_A1, _A2>::type type;
+  return __builtin_islessgreater((type)__x, (type)__y);
+}
+
+// isunordered
+
+template <class _A1,
+          class _A2,
+          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
+_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isunordered(_A1 __x, _A2 __y) _NOEXCEPT {
+  typedef typename std::__promote<_A1, _A2>::type type;
+  return __builtin_isunordered((type)__x, (type)__y);
+}
+
+} // namespace __math_traits
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_TRAITS_H

libcxx/include/__math/trigonometric_functions.h

+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___MATH_TRIGONOMETRIC_FUNCTIONS_H
+#define _LIBCPP___MATH_TRIGONOMETRIC_FUNCTIONS_H
+
+#include <__config>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_arithmetic.h>
+#include <__type_traits/promote.h>
+#include <limits>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace __math {
+
+// cos
+
+inline _LIBCPP_HIDE_FROM_ABI float       cos(float __x) _NOEXCEPT       {return __builtin_cosf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double cos(double __x) _NOEXCEPT {
+  return __builtin_cos(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double cos(long double __x) _NOEXCEPT {return __builtin_cosl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+cos(_A1 __x) _NOEXCEPT {return __builtin_cos((double)__x);}
+
+// sin
+
+inline _LIBCPP_HIDE_FROM_ABI float       sin(float __x) _NOEXCEPT       {return __builtin_sinf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double sin(double __x) _NOEXCEPT {
+  return __builtin_sin(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double sin(long double __x) _NOEXCEPT {return __builtin_sinl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+sin(_A1 __x) _NOEXCEPT {return __builtin_sin((double)__x);}
+
+// tan
+
+inline _LIBCPP_HIDE_FROM_ABI float       tan(float __x) _NOEXCEPT       {return __builtin_tanf(__x);}
+
+template <class = int>
+_LIBCPP_HIDE_FROM_ABI double tan(double __x) _NOEXCEPT {
+  return __builtin_tan(__x);
+}
+
+inline _LIBCPP_HIDE_FROM_ABI long double tan(long double __x) _NOEXCEPT {return __builtin_tanl(__x);}
+
+template <class _A1>
+inline _LIBCPP_HIDE_FROM_ABI
+typename std::enable_if<std::is_integral<_A1>::value, double>::type
+tan(_A1 __x) _NOEXCEPT {return __builtin_tan((double)__x);}
+
+} // namespace __math
+
+_LIBCPP_END_NAMESPACE_STD
+
+#endif // _LIBCPP___MATH_TRIGONOMETRIC_FUNCTIONS_H

libcxx/include/libcxx.imp

[
   { include: [ "@<__expected/.*>", "private", "<expected>", "public" ] },
   { include: [ "@<__filesystem/.*>", "private", "<filesystem>", "public" ] },
   { include: [ "@<__format/.*>", "private", "<format>", "public" ] },
   { include: [ "@<__functional/.*>", "private", "<functional>", "public" ] },
   { include: [ "@<__fwd/.*>", "private", "<fwd>", "public" ] },
   { include: [ "@<__ios/.*>", "private", "<ios>", "public" ] },
   { include: [ "@<__iterator/.*>", "private", "<iterator>", "public" ] },
   { include: [ "@<__locale_dir/.*>", "private", "<locale>", "public" ] },
+  { include: [ "@<__math/.*>", "private", "<math>", "public" ] },
   { include: [ "@<__mdspan/.*>", "private", "<mdspan>", "public" ] },
   { include: [ "@<__memory/.*>", "private", "<memory>", "public" ] },
   { include: [ "@<__memory_resource/.*>", "private", "<memory_resource>", "public" ] },
   { include: [ "@<__mutex/.*>", "private", "<mutex>", "public" ] },
   { include: [ "@<__numeric/.*>", "private", "<numeric>", "public" ] },
   { include: [ "@<__pstl/.*>", "private", "<pstl>", "public" ] },
   { include: [ "@<__random/.*>", "private", "<random>", "public" ] },
   { include: [ "@<__ranges/.*>", "private", "<ranges>", "public" ] },

libcxx/include/math.h

 #  endif
 
 #ifdef __cplusplus
 
 // We support including .h headers inside 'extern "C"' contexts, so switch
 // back to C++ linkage before including these C++ headers.
 extern "C++" {
 
-#include <__type_traits/enable_if.h>
-#include <__type_traits/is_floating_point.h>
-#include <__type_traits/is_integral.h>
-#include <__type_traits/is_same.h>
-#include <__type_traits/promote.h>
-#include <limits>
-#include <stdlib.h>
-
-
 #    ifdef fpclassify
 #      undef fpclassify
 #    endif
 
 #    ifdef signbit
 #      undef signbit
 #    endif
 

 #    ifdef islessgreater
 #      undef islessgreater
 #    endif
 
 #    ifdef isunordered
 #      undef isunordered
 #    endif
 
-// signbit
+#include <__math/abs.h>
+#include <__math/copysign.h>
+#include <__math/error_functions.h>
+#include <__math/exponential_functions.h>
+#include <__math/fdim.h>
+#include <__math/fma.h>
+#include <__math/gamma.h>
+#include <__math/hyperbolic_functions.h>
+#include <__math/hypot.h>
+#include <__math/inverse_hyperbolic_functions.h>
+#include <__math/inverse_trigonometric_functions.h>
+#include <__math/logarithms.h>
+#include <__math/min_max.h>
+#include <__math/modulo.h>
+#include <__math/remainder.h>
+#include <__math/roots.h>
+#include <__math/rounding_functions.h>
+#include <__math/traits.h>
+#include <__math/trigonometric_functions.h>
+#include <__type_traits/enable_if.h>
+#include <__type_traits/is_floating_point.h>
+#include <__type_traits/is_integral.h>
+#include <stdlib.h>
 
-template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
-  return __builtin_signbit(__x);
-}
 
-template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value && std::is_signed<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
-  return __x < 0;
-}
+// fpclassify relies on implementation-defined constants, so we can't move it to a detail header
+_LIBCPP_BEGIN_NAMESPACE_STD
 
-template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value && !std::is_signed<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1) _NOEXCEPT {
-  return false;
-}
+namespace __math {
 
 // fpclassify
 
 template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI int fpclassify(_A1 __x) _NOEXCEPT {
   return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
 }
 
 template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI int fpclassify(_A1 __x) _NOEXCEPT {
   return __x == 0 ? FP_ZERO : FP_NORMAL;
 }
 
-// The MSVC runtime already provides these functions as templates
-#ifndef _LIBCPP_MSVCRT
-
-// isfinite
-
-template <class _A1,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1 __x) _NOEXCEPT {
-  return __builtin_isfinite((typename std::__promote<_A1>::type)__x);
-}
-
-template <class _A1,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1) _NOEXCEPT {
-  return true;
-}
-
-// isinf
-
-template <class _A1,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(_A1 __x) _NOEXCEPT {
-  return __builtin_isinf((typename std::__promote<_A1>::type)__x);
-}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI
-    typename std::enable_if< std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, bool>::type
-    isinf(_A1) _NOEXCEPT {
-  return false;
-}
-
-#      ifdef _LIBCPP_PREFERRED_OVERLOAD
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(float __x) _NOEXCEPT {
-  return __builtin_isinf(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool isinf(double __x) _NOEXCEPT {
-  return __builtin_isinf(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(long double __x) _NOEXCEPT {
-  return __builtin_isinf(__x);
-}
-#      endif
-
-// isnan
-
-template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1 __x) _NOEXCEPT {
-  return __builtin_isnan(__x);
-}
-
-template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1) _NOEXCEPT {
-  return false;
-}
-
-#      ifdef _LIBCPP_PREFERRED_OVERLOAD
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(float __x) _NOEXCEPT {
-  return __builtin_isnan(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool isnan(double __x) _NOEXCEPT {
-  return __builtin_isnan(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(long double __x) _NOEXCEPT {
-  return __builtin_isnan(__x);
-}
-#      endif
-
-// isnormal
-
-template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
-  return __builtin_isnormal(__x);
-}
-
-template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
-  return __x != 0;
-}
-
-// isgreater
+} // namespace __math
 
-template <class _A1,
-          class _A2,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreater(_A1 __x, _A2 __y) _NOEXCEPT {
-  typedef typename std::__promote<_A1, _A2>::type type;
-  return __builtin_isgreater((type)__x, (type)__y);
-}
-
-// isgreaterequal
-
-template <class _A1,
-          class _A2,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT {
-  typedef typename std::__promote<_A1, _A2>::type type;
-  return __builtin_isgreaterequal((type)__x, (type)__y);
-}
-
-// isless
-
-template <class _A1,
-          class _A2,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isless(_A1 __x, _A2 __y) _NOEXCEPT {
-  typedef typename std::__promote<_A1, _A2>::type type;
-  return __builtin_isless((type)__x, (type)__y);
-}
-
-// islessequal
-
-template <class _A1,
-          class _A2,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessequal(_A1 __x, _A2 __y) _NOEXCEPT {
-  typedef typename std::__promote<_A1, _A2>::type type;
-  return __builtin_islessequal((type)__x, (type)__y);
-}
-
-// islessgreater
-
-template <class _A1,
-          class _A2,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessgreater(_A1 __x, _A2 __y) _NOEXCEPT {
-  typedef typename std::__promote<_A1, _A2>::type type;
-  return __builtin_islessgreater((type)__x, (type)__y);
-}
-
-// isunordered
+_LIBCPP_END_NAMESPACE_STD
 
-template <class _A1,
-          class _A2,
-          std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isunordered(_A1 __x, _A2 __y) _NOEXCEPT {
-  typedef typename std::__promote<_A1, _A2>::type type;
-  return __builtin_isunordered((type)__x, (type)__y);
-}
+using std::__math::fpclassify;
+using std::__math::signbit;
 
+// The MSVC runtime already provides these functions as templates
+#ifndef _LIBCPP_MSVCRT
+using std::__math::isfinite;
+using std::__math::isgreater;
+using std::__math::isgreaterequal;
+using std::__math::isinf;
+using std::__math::isless;
+using std::__math::islessequal;
+using std::__math::islessgreater;
+using std::__math::isnan;
+using std::__math::isnormal;
+using std::__math::isunordered;
 #endif // _LIBCPP_MSVCRT
 
 // abs
 //
 // handled in stdlib.h
 
 // div
 //
 // handled in stdlib.h
 
 // We have to provide double overloads for <math.h> to work on platforms that don't provide the full set of math
 // functions. To make the overload set work with multiple functions that take the same arguments, we make our overloads
 // templates. Functions are preferred over function templates during overload resolution, which means that our overload
 // will only be selected when the C library doesn't provide one.
 
-// acos
-
-inline _LIBCPP_HIDE_FROM_ABI float       acos(float __x) _NOEXCEPT       {return __builtin_acosf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double acos(double __x) _NOEXCEPT {
-  return __builtin_acos(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double acos(long double __x) _NOEXCEPT {return __builtin_acosl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-acos(_A1 __x) _NOEXCEPT {return __builtin_acos((double)__x);}
-
-// asin
-
-inline _LIBCPP_HIDE_FROM_ABI float       asin(float __x) _NOEXCEPT       {return __builtin_asinf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double asin(double __x) _NOEXCEPT {
-  return __builtin_asin(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double asin(long double __x) _NOEXCEPT {return __builtin_asinl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-asin(_A1 __x) _NOEXCEPT {return __builtin_asin((double)__x);}
-
-// atan
-
-inline _LIBCPP_HIDE_FROM_ABI float       atan(float __x) _NOEXCEPT       {return __builtin_atanf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double atan(double __x) _NOEXCEPT {
-  return __builtin_atan(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double atan(long double __x) _NOEXCEPT {return __builtin_atanl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-atan(_A1 __x) _NOEXCEPT {return __builtin_atan((double)__x);}
-
-// atan2
-
-inline _LIBCPP_HIDE_FROM_ABI float       atan2(float __y, float __x) _NOEXCEPT             {return __builtin_atan2f(__y, __x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double atan2(double __x, double __y) _NOEXCEPT {
-  return __builtin_atan2(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double atan2(long double __y, long double __x) _NOEXCEPT {return __builtin_atan2l(__y, __x);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-atan2(_A1 __y, _A2 __x) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::atan2((__result_type)__y, (__result_type)__x);
-}
-
-// ceil
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       ceil(float __x) _NOEXCEPT       {return __builtin_ceilf(__x);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double ceil(double __x) _NOEXCEPT {
-  return __builtin_ceil(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double ceil(long double __x) _NOEXCEPT {return __builtin_ceill(__x);}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-ceil(_A1 __x) _NOEXCEPT {return __builtin_ceil((double)__x);}
-
-// cos
-
-inline _LIBCPP_HIDE_FROM_ABI float       cos(float __x) _NOEXCEPT       {return __builtin_cosf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double cos(double __x) _NOEXCEPT {
-  return __builtin_cos(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double cos(long double __x) _NOEXCEPT {return __builtin_cosl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-cos(_A1 __x) _NOEXCEPT {return __builtin_cos((double)__x);}
-
-// cosh
-
-inline _LIBCPP_HIDE_FROM_ABI float       cosh(float __x) _NOEXCEPT       {return __builtin_coshf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double cosh(double __x) _NOEXCEPT {
-  return __builtin_cosh(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double cosh(long double __x) _NOEXCEPT {return __builtin_coshl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-cosh(_A1 __x) _NOEXCEPT {return __builtin_cosh((double)__x);}
-
-// exp
-
-inline _LIBCPP_HIDE_FROM_ABI float       exp(float __x) _NOEXCEPT       {return __builtin_expf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double exp(double __x) _NOEXCEPT {
-  return __builtin_exp(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double exp(long double __x) _NOEXCEPT {return __builtin_expl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-exp(_A1 __x) _NOEXCEPT {return __builtin_exp((double)__x);}
-
-// fabs
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       fabs(float __x) _NOEXCEPT       {return __builtin_fabsf(__x);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fabs(double __x) _NOEXCEPT {
-  return __builtin_fabs(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fabs(long double __x) _NOEXCEPT {return __builtin_fabsl(__x);}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-fabs(_A1 __x) _NOEXCEPT {return __builtin_fabs((double)__x);}
-
-// floor
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       floor(float __x) _NOEXCEPT       {return __builtin_floorf(__x);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double floor(double __x) _NOEXCEPT {
-  return __builtin_floor(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double floor(long double __x) _NOEXCEPT {return __builtin_floorl(__x);}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-floor(_A1 __x) _NOEXCEPT {return __builtin_floor((double)__x);}
-
-// fmod
-
-inline _LIBCPP_HIDE_FROM_ABI float       fmod(float __x, float __y) _NOEXCEPT             {return __builtin_fmodf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double fmod(double __x, double __y) _NOEXCEPT {
-  return __builtin_fmod(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double fmod(long double __x, long double __y) _NOEXCEPT {return __builtin_fmodl(__x, __y);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-fmod(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::fmod((__result_type)__x, (__result_type)__y);
-}
-
-// frexp
-
-inline _LIBCPP_HIDE_FROM_ABI float       frexp(float __x, int* __e) _NOEXCEPT       {return __builtin_frexpf(__x, __e);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double frexp(double __x, int* __e) _NOEXCEPT {
-  return __builtin_frexp(__x, __e);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double frexp(long double __x, int* __e) _NOEXCEPT {return __builtin_frexpl(__x, __e);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-frexp(_A1 __x, int* __e) _NOEXCEPT {return __builtin_frexp((double)__x, __e);}
-
-// ldexp
-
-inline _LIBCPP_HIDE_FROM_ABI float       ldexp(float __x, int __e) _NOEXCEPT       {return __builtin_ldexpf(__x, __e);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double ldexp(double __x, int __e) _NOEXCEPT {
-  return __builtin_ldexp(__x, __e);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double ldexp(long double __x, int __e) _NOEXCEPT {return __builtin_ldexpl(__x, __e);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-ldexp(_A1 __x, int __e) _NOEXCEPT {return __builtin_ldexp((double)__x, __e);}
-
-// log
-
-inline _LIBCPP_HIDE_FROM_ABI float       log(float __x) _NOEXCEPT       {return __builtin_logf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double log(double __x) _NOEXCEPT {
-  return __builtin_log(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double log(long double __x) _NOEXCEPT {return __builtin_logl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-log(_A1 __x) _NOEXCEPT {return __builtin_log((double)__x);}
-
-// log10
-
-inline _LIBCPP_HIDE_FROM_ABI float       log10(float __x) _NOEXCEPT       {return __builtin_log10f(__x);}
-
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double log10(double __x) _NOEXCEPT {
-  return __builtin_log10(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double log10(long double __x) _NOEXCEPT {return __builtin_log10l(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-log10(_A1 __x) _NOEXCEPT {return __builtin_log10((double)__x);}
-
-// modf
-
-inline _LIBCPP_HIDE_FROM_ABI float       modf(float __x, float* __y) _NOEXCEPT             {return __builtin_modff(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double modf(double __x, double* __y) _NOEXCEPT {
-  return __builtin_modf(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double modf(long double __x, long double* __y) _NOEXCEPT {return __builtin_modfl(__x, __y);}
-
-// pow
-
-inline _LIBCPP_HIDE_FROM_ABI float       pow(float __x, float __y) _NOEXCEPT             {return __builtin_powf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double pow(double __x, double __y) _NOEXCEPT {
-  return __builtin_pow(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double pow(long double __x, long double __y) _NOEXCEPT {return __builtin_powl(__x, __y);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-pow(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::pow((__result_type)__x, (__result_type)__y);
-}
-
-// sin
-
-inline _LIBCPP_HIDE_FROM_ABI float       sin(float __x) _NOEXCEPT       {return __builtin_sinf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double sin(double __x) _NOEXCEPT {
-  return __builtin_sin(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double sin(long double __x) _NOEXCEPT {return __builtin_sinl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-sin(_A1 __x) _NOEXCEPT {return __builtin_sin((double)__x);}
-
-// sinh
-
-inline _LIBCPP_HIDE_FROM_ABI float       sinh(float __x) _NOEXCEPT       {return __builtin_sinhf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double sinh(double __x) _NOEXCEPT {
-  return __builtin_sinh(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double sinh(long double __x) _NOEXCEPT {return __builtin_sinhl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-sinh(_A1 __x) _NOEXCEPT {return __builtin_sinh((double)__x);}
-
-// sqrt
-
-inline _LIBCPP_HIDE_FROM_ABI float       sqrt(float __x) _NOEXCEPT       {return __builtin_sqrtf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double sqrt(double __x) _NOEXCEPT {
-  return __builtin_sqrt(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double sqrt(long double __x) _NOEXCEPT {return __builtin_sqrtl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-sqrt(_A1 __x) _NOEXCEPT {return __builtin_sqrt((double)__x);}
-
-// tan
-
-inline _LIBCPP_HIDE_FROM_ABI float       tan(float __x) _NOEXCEPT       {return __builtin_tanf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double tan(double __x) _NOEXCEPT {
-  return __builtin_tan(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double tan(long double __x) _NOEXCEPT {return __builtin_tanl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-tan(_A1 __x) _NOEXCEPT {return __builtin_tan((double)__x);}
-
-// tanh
-
-inline _LIBCPP_HIDE_FROM_ABI float       tanh(float __x) _NOEXCEPT       {return __builtin_tanhf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double tanh(double __x) _NOEXCEPT {
-  return __builtin_tanh(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double tanh(long double __x) _NOEXCEPT {return __builtin_tanhl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-tanh(_A1 __x) _NOEXCEPT {return __builtin_tanh((double)__x);}
-
-// acosh
-
-inline _LIBCPP_HIDE_FROM_ABI float       acosh(float __x) _NOEXCEPT       {return __builtin_acoshf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double acosh(double __x) _NOEXCEPT {
-  return __builtin_acosh(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double acosh(long double __x) _NOEXCEPT {return __builtin_acoshl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-acosh(_A1 __x) _NOEXCEPT {return __builtin_acosh((double)__x);}
-
-// asinh
-
-inline _LIBCPP_HIDE_FROM_ABI float       asinh(float __x) _NOEXCEPT       {return __builtin_asinhf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double asinh(double __x) _NOEXCEPT {
-  return __builtin_asinh(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double asinh(long double __x) _NOEXCEPT {return __builtin_asinhl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-asinh(_A1 __x) _NOEXCEPT {return __builtin_asinh((double)__x);}
-
-// atanh
-
-inline _LIBCPP_HIDE_FROM_ABI float       atanh(float __x) _NOEXCEPT       {return __builtin_atanhf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double atanh(double __x) _NOEXCEPT {
-  return __builtin_atanh(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double atanh(long double __x) _NOEXCEPT {return __builtin_atanhl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-atanh(_A1 __x) _NOEXCEPT {return __builtin_atanh((double)__x);}
-
-// cbrt
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       cbrt(float __x) _NOEXCEPT       {return __builtin_cbrtf(__x);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double cbrt(double __x) _NOEXCEPT {
-  return __builtin_cbrt(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double cbrt(long double __x) _NOEXCEPT {return __builtin_cbrtl(__x);}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-cbrt(_A1 __x) _NOEXCEPT {return __builtin_cbrt((double)__x);}
-
-// copysign
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float copysign(float __x, float __y) _NOEXCEPT {
-  return ::__builtin_copysignf(__x, __y);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double copysign(long double __x, long double __y) _NOEXCEPT {
-  return ::__builtin_copysignl(__x, __y);
-}
-
-template <class _A1, class _A2>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-    copysign(_A1 __x, _A2 __y) _NOEXCEPT {
-  return ::__builtin_copysign(__x, __y);
-}
-
-// erf
-
-inline _LIBCPP_HIDE_FROM_ABI float       erf(float __x) _NOEXCEPT       {return __builtin_erff(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double erf(double __x) _NOEXCEPT {
-  return __builtin_erf(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double erf(long double __x) _NOEXCEPT {return __builtin_erfl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-erf(_A1 __x) _NOEXCEPT {return __builtin_erf((double)__x);}
-
-// erfc
-
-inline _LIBCPP_HIDE_FROM_ABI float       erfc(float __x) _NOEXCEPT       {return __builtin_erfcf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double erfc(double __x) _NOEXCEPT {
-  return __builtin_erfc(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double erfc(long double __x) _NOEXCEPT {return __builtin_erfcl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-erfc(_A1 __x) _NOEXCEPT {return __builtin_erfc((double)__x);}
-
-// exp2
-
-inline _LIBCPP_HIDE_FROM_ABI float       exp2(float __x) _NOEXCEPT       {return __builtin_exp2f(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double exp2(double __x) _NOEXCEPT {
-  return __builtin_exp2(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double exp2(long double __x) _NOEXCEPT {return __builtin_exp2l(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-exp2(_A1 __x) _NOEXCEPT {return __builtin_exp2((double)__x);}
-
-// expm1
-
-inline _LIBCPP_HIDE_FROM_ABI float       expm1(float __x) _NOEXCEPT       {return __builtin_expm1f(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double expm1(double __x) _NOEXCEPT {
-  return __builtin_expm1(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double expm1(long double __x) _NOEXCEPT {return __builtin_expm1l(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-expm1(_A1 __x) _NOEXCEPT {return __builtin_expm1((double)__x);}
-
-// fdim
-
-inline _LIBCPP_HIDE_FROM_ABI float       fdim(float __x, float __y) _NOEXCEPT             {return __builtin_fdimf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double fdim(double __x, double __y) _NOEXCEPT {
-  return __builtin_fdim(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double fdim(long double __x, long double __y) _NOEXCEPT {return __builtin_fdiml(__x, __y);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-fdim(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::fdim((__result_type)__x, (__result_type)__y);
-}
-
-// fma
-
-inline _LIBCPP_HIDE_FROM_ABI float       fma(float __x, float __y, float __z) _NOEXCEPT
-{
-    return __builtin_fmaf(__x, __y, __z);
-}
-
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double fma(double __x, double __y, double __z) _NOEXCEPT {
-  return __builtin_fma(__x, __y, __z);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double fma(long double __x, long double __y, long double __z) _NOEXCEPT
-{
-    return __builtin_fmal(__x, __y, __z);
-}
-
-template <class _A1, class _A2, class _A3>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value &&
-    std::is_arithmetic<_A3>::value,
-    std::__promote<_A1, _A2, _A3>
->::type
-fma(_A1 __x, _A2 __y, _A3 __z) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value &&
-                     std::_IsSame<_A3, __result_type>::value)), "");
-    return __builtin_fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
-}
-
-// fmax
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       fmax(float __x, float __y) _NOEXCEPT             {return __builtin_fmaxf(__x, __y);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fmax(double __x, double __y) _NOEXCEPT {
-  return __builtin_fmax(__x, __y);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fmax(long double __x, long double __y) _NOEXCEPT {return __builtin_fmaxl(__x, __y);}
-
-template <class _A1, class _A2>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-fmax(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::fmax((__result_type)__x, (__result_type)__y);
-}
-
-// fmin
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       fmin(float __x, float __y) _NOEXCEPT             {return __builtin_fminf(__x, __y);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fmin(double __x, double __y) _NOEXCEPT {
-  return __builtin_fmin(__x, __y);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fmin(long double __x, long double __y) _NOEXCEPT {return __builtin_fminl(__x, __y);}
-
-template <class _A1, class _A2>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-fmin(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::fmin((__result_type)__x, (__result_type)__y);
-}
-
-// hypot
-
-inline _LIBCPP_HIDE_FROM_ABI float       hypot(float __x, float __y) _NOEXCEPT             {return __builtin_hypotf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double hypot(double __x, double __y) _NOEXCEPT {
-  return __builtin_hypot(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double hypot(long double __x, long double __y) _NOEXCEPT {return __builtin_hypotl(__x, __y);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-hypot(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::hypot((__result_type)__x, (__result_type)__y);
-}
-
-// ilogb
-
-inline _LIBCPP_HIDE_FROM_ABI int ilogb(float __x) _NOEXCEPT       {return __builtin_ilogbf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double ilogb(double __x) _NOEXCEPT {
-  return __builtin_ilogb(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI int ilogb(long double __x) _NOEXCEPT {return __builtin_ilogbl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, int>::type
-ilogb(_A1 __x) _NOEXCEPT {return __builtin_ilogb((double)__x);}
-
-// lgamma
-
-inline _LIBCPP_HIDE_FROM_ABI float       lgamma(float __x) _NOEXCEPT       {return __builtin_lgammaf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double lgamma(double __x) _NOEXCEPT {
-  return __builtin_lgamma(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double lgamma(long double __x) _NOEXCEPT {return __builtin_lgammal(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-lgamma(_A1 __x) _NOEXCEPT {return __builtin_lgamma((double)__x);}
-
-// llrint
-
-inline _LIBCPP_HIDE_FROM_ABI long long llrint(float __x) _NOEXCEPT
-{
-    return __builtin_llrintf(__x);
-}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI long long llrint(double __x) _NOEXCEPT {
-  return __builtin_llrint(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long long llrint(long double __x) _NOEXCEPT
-{
-    return __builtin_llrintl(__x);
-}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, long long>::type
-llrint(_A1 __x) _NOEXCEPT
-{
-    return __builtin_llrint((double)__x);
-}
-
-// llround
-
-inline _LIBCPP_HIDE_FROM_ABI long long llround(float __x) _NOEXCEPT
-{
-    return __builtin_llroundf(__x);
-}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI long long llround(double __x) _NOEXCEPT {
-  return __builtin_llround(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long long llround(long double __x) _NOEXCEPT
-{
-    return __builtin_llroundl(__x);
-}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, long long>::type
-llround(_A1 __x) _NOEXCEPT
-{
-    return __builtin_llround((double)__x);
-}
-
-// log1p
-
-inline _LIBCPP_HIDE_FROM_ABI float       log1p(float __x) _NOEXCEPT       {return __builtin_log1pf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double log1p(double __x) _NOEXCEPT {
-  return __builtin_log1p(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double log1p(long double __x) _NOEXCEPT {return __builtin_log1pl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-log1p(_A1 __x) _NOEXCEPT {return __builtin_log1p((double)__x);}
-
-// log2
-
-inline _LIBCPP_HIDE_FROM_ABI float       log2(float __x) _NOEXCEPT       {return __builtin_log2f(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double log2(double __x) _NOEXCEPT {
-  return __builtin_log2(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double log2(long double __x) _NOEXCEPT {return __builtin_log2l(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-log2(_A1 __x) _NOEXCEPT {return __builtin_log2((double)__x);}
-
-// logb
-
-inline _LIBCPP_HIDE_FROM_ABI float       logb(float __x) _NOEXCEPT       {return __builtin_logbf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double logb(double __x) _NOEXCEPT {
-  return __builtin_logb(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double logb(long double __x) _NOEXCEPT {return __builtin_logbl(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-logb(_A1 __x) _NOEXCEPT {return __builtin_logb((double)__x);}
-
-// lrint
-
-inline _LIBCPP_HIDE_FROM_ABI long lrint(float __x) _NOEXCEPT
-{
-    return __builtin_lrintf(__x);
-}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI long lrint(double __x) _NOEXCEPT {
-  return __builtin_lrint(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long lrint(long double __x) _NOEXCEPT
-{
-    return __builtin_lrintl(__x);
-}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, long>::type
-lrint(_A1 __x) _NOEXCEPT
-{
-    return __builtin_lrint((double)__x);
-}
-
-// lround
-
-inline _LIBCPP_HIDE_FROM_ABI long lround(float __x) _NOEXCEPT
-{
-    return __builtin_lroundf(__x);
-}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI long lround(double __x) _NOEXCEPT {
-  return __builtin_lround(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long lround(long double __x) _NOEXCEPT
-{
-    return __builtin_lroundl(__x);
-}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, long>::type
-lround(_A1 __x) _NOEXCEPT
-{
-    return __builtin_lround((double)__x);
-}
-
-// nan
-
-// nearbyint
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       nearbyint(float __x) _NOEXCEPT       {return __builtin_nearbyintf(__x);}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double nearbyint(double __x) _NOEXCEPT {
-  return __builtin_nearbyint(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double nearbyint(long double __x) _NOEXCEPT {return __builtin_nearbyintl(__x);}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-nearbyint(_A1 __x) _NOEXCEPT {return __builtin_nearbyint((double)__x);}
-
-// nextafter
-
-inline _LIBCPP_HIDE_FROM_ABI float       nextafter(float __x, float __y) _NOEXCEPT             {return __builtin_nextafterf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double nextafter(double __x, double __y) _NOEXCEPT {
-  return __builtin_nextafter(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double nextafter(long double __x, long double __y) _NOEXCEPT {return __builtin_nextafterl(__x, __y);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-nextafter(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::nextafter((__result_type)__x, (__result_type)__y);
-}
-
-// nexttoward
-
-inline _LIBCPP_HIDE_FROM_ABI float       nexttoward(float __x, long double __y) _NOEXCEPT       {return __builtin_nexttowardf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double nexttoward(double __x, long double __y) _NOEXCEPT {
-  return __builtin_nexttoward(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double nexttoward(long double __x, long double __y) _NOEXCEPT {return __builtin_nexttowardl(__x, __y);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-nexttoward(_A1 __x, long double __y) _NOEXCEPT {return __builtin_nexttoward((double)__x, __y);}
-
-// remainder
-
-inline _LIBCPP_HIDE_FROM_ABI float       remainder(float __x, float __y) _NOEXCEPT             {return __builtin_remainderf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double remainder(double __x, double __y) _NOEXCEPT {
-  return __builtin_remainder(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double remainder(long double __x, long double __y) _NOEXCEPT {return __builtin_remainderl(__x, __y);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-remainder(_A1 __x, _A2 __y) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::remainder((__result_type)__x, (__result_type)__y);
-}
-
-// remquo
-
-inline _LIBCPP_HIDE_FROM_ABI float       remquo(float __x, float __y, int* __z) _NOEXCEPT             {return __builtin_remquof(__x, __y, __z);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double remquo(double __x, double __y, int* __z) _NOEXCEPT {
-  return __builtin_remquo(__x, __y, __z);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double remquo(long double __x, long double __y, int* __z) _NOEXCEPT {return __builtin_remquol(__x, __y, __z);}
-
-template <class _A1, class _A2>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::__enable_if_t
-<
-    std::is_arithmetic<_A1>::value &&
-    std::is_arithmetic<_A2>::value,
-    std::__promote<_A1, _A2>
->::type
-remquo(_A1 __x, _A2 __y, int* __z) _NOEXCEPT
-{
-    typedef typename std::__promote<_A1, _A2>::type __result_type;
-    static_assert((!(std::_IsSame<_A1, __result_type>::value &&
-                     std::_IsSame<_A2, __result_type>::value)), "");
-    return ::remquo((__result_type)__x, (__result_type)__y, __z);
-}
-
-// rint
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       rint(float __x) _NOEXCEPT
-{
-    return __builtin_rintf(__x);
-}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double rint(double __x) _NOEXCEPT {
-  return __builtin_rint(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double rint(long double __x) _NOEXCEPT
-{
-    return __builtin_rintl(__x);
-}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-rint(_A1 __x) _NOEXCEPT
-{
-    return __builtin_rint((double)__x);
-}
-
-// round
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       round(float __x) _NOEXCEPT
-{
-    return __builtin_round(__x);
-}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double round(double __x) _NOEXCEPT {
-  return __builtin_round(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double round(long double __x) _NOEXCEPT
-{
-    return __builtin_roundl(__x);
-}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-round(_A1 __x) _NOEXCEPT
-{
-    return __builtin_round((double)__x);
-}
-
-// scalbln
-
-inline _LIBCPP_HIDE_FROM_ABI float       scalbln(float __x, long __y) _NOEXCEPT       {return __builtin_scalblnf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double scalbln(double __x, long __y) _NOEXCEPT {
-  return __builtin_scalbln(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double scalbln(long double __x, long __y) _NOEXCEPT {return __builtin_scalblnl(__x, __y);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-scalbln(_A1 __x, long __y) _NOEXCEPT {return __builtin_scalbln((double)__x, __y);}
-
-// scalbn
-
-inline _LIBCPP_HIDE_FROM_ABI float       scalbn(float __x, int __y) _NOEXCEPT       {return __builtin_scalbnf(__x, __y);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double scalbn(double __x, int __y) _NOEXCEPT {
-  return __builtin_scalbn(__x, __y);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double scalbn(long double __x, int __y) _NOEXCEPT {return __builtin_scalbnl(__x, __y);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-scalbn(_A1 __x, int __y) _NOEXCEPT {return __builtin_scalbn((double)__x, __y);}
-
-// tgamma
-
-inline _LIBCPP_HIDE_FROM_ABI float       tgamma(float __x) _NOEXCEPT       {return __builtin_tgammaf(__x);}
-
-template <class = int>
-_LIBCPP_HIDE_FROM_ABI double tgamma(double __x) _NOEXCEPT {
-  return __builtin_tgamma(__x);
-}
-
-inline _LIBCPP_HIDE_FROM_ABI long double tgamma(long double __x) _NOEXCEPT {return __builtin_tgammal(__x);}
-
-template <class _A1>
-inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-tgamma(_A1 __x) _NOEXCEPT {return __builtin_tgamma((double)__x);}
-
-// trunc
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float       trunc(float __x) _NOEXCEPT
-{
-    return __builtin_trunc(__x);
-}
-
-template <class = int>
-_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double trunc(double __x) _NOEXCEPT {
-  return __builtin_trunc(__x);
-}
-
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double trunc(long double __x) _NOEXCEPT
-{
-    return __builtin_truncl(__x);
-}
-
-template <class _A1>
-_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
-typename std::enable_if<std::is_integral<_A1>::value, double>::type
-trunc(_A1 __x) _NOEXCEPT
-{
-    return __builtin_trunc((double)__x);
-}
+using std::__math::acosh;
+using std::__math::acos;
+using std::__math::asinh;
+using std::__math::asin;
+using std::__math::atanh;
+using std::__math::atan;
+using std::__math::atan2;
+using std::__math::cbrt;
+using std::__math::ceil;
+using std::__math::copysign;
+using std::__math::cos;
+using std::__math::cosh;
+using std::__math::erf;
+using std::__math::erfc;
+using std::__math::exp;
+using std::__math::exp2;
+using std::__math::expm1;
+using std::__math::fabs;
+using std::__math::fdim;
+using std::__math::floor;
+using std::__math::fma;
+using std::__math::fmax;
+using std::__math::fmin;
+using std::__math::fmod;
+using std::__math::frexp;
+using std::__math::hypot;
+using std::__math::ilogb;
+using std::__math::ldexp;
+using std::__math::lgamma;
+using std::__math::llrint;
+using std::__math::llround;
+using std::__math::lrint;
+using std::__math::lround;
+using std::__math::log;
+using std::__math::log10;
+using std::__math::log1p;
+using std::__math::log2;
+using std::__math::logb;
+using std::__math::modf;
+using std::__math::nearbyint;
+using std::__math::nextafter;
+using std::__math::nexttoward;
+using std::__math::pow;
+using std::__math::remainder;
+using std::__math::remquo;
+using std::__math::rint;
+using std::__math::round;
+using std::__math::scalbln;
+using std::__math::scalbn;
+using std::__math::signbit;
+using std::__math::sin;
+using std::__math::sinh;
+using std::__math::sqrt;
+using std::__math::tan;
+using std::__math::tanh;
+using std::__math::tgamma;
+using std::__math::trunc;
 
 } // extern "C++"
 
 #endif // __cplusplus
 
 #else // _LIBCPP_MATH_H
 
 // This include lives outside the header guard in order to support an MSVC

libcxx/utils/data/ignore_format.txt

 libcxx/include/list
 libcxx/include/__locale
 libcxx/include/locale
 libcxx/include/__locale_dir/locale_base_api/bsd_locale_defaults.h
 libcxx/include/__locale_dir/locale_base_api/bsd_locale_fallbacks.h
 libcxx/include/__locale_dir/locale_base_api/locale_guard.h
 libcxx/include/locale.h
 libcxx/include/map
+libcxx/include/__math/abs.h
+libcxx/include/__math/copysign.h
+libcxx/include/__math/error_functions.h
+libcxx/include/__math/exponential_functions.h
+libcxx/include/__math/fdim.h
+libcxx/include/__math/fma.h
+libcxx/include/__math/gamma.h
 libcxx/include/math.h
+libcxx/include/__math/hyperbolic_functions.h
+libcxx/include/__math/hypot.h
+libcxx/include/__math/inverse_hyperbolic_functions.h
+libcxx/include/__math/inverse_trigonometric_functions.h
+libcxx/include/__math/logarithms.h
+libcxx/include/__math/min_max.h
+libcxx/include/__math/modulo.h
+libcxx/include/__math/remainder.h
+libcxx/include/__math/roots.h
+libcxx/include/__math/rounding_functions.h
+libcxx/include/__math/traits.h
+libcxx/include/__math/trigonometric_functions.h
 libcxx/include/__mbstate_t.h
 libcxx/include/memory
 libcxx/include/__memory/addressof.h
 libcxx/include/__memory/aligned_alloc.h
 libcxx/include/__memory/allocate_at_least.h
 libcxx/include/__memory/allocation_guard.h
 libcxx/include/__memory/allocator_arg_t.h
 libcxx/include/__memory/allocator_destructor.h