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- // -*- C++ -*-
- //===----------------------------------------------------------------------===//
- //
- // 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___NUMERIC_MIDPOINT_H
- #define _LIBCPP___NUMERIC_MIDPOINT_H
- #include <__config>
- #include <__type_traits/enable_if.h>
- #include <__type_traits/is_floating_point.h>
- #include <__type_traits/is_integral.h>
- #include <__type_traits/is_null_pointer.h>
- #include <__type_traits/is_object.h>
- #include <__type_traits/is_pointer.h>
- #include <__type_traits/is_same.h>
- #include <__type_traits/is_void.h>
- #include <__type_traits/make_unsigned.h>
- #include <__type_traits/remove_pointer.h>
- #include <cstddef>
- #include <limits>
- #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
- # pragma GCC system_header
- #endif
- _LIBCPP_PUSH_MACROS
- #include <__undef_macros>
- _LIBCPP_BEGIN_NAMESPACE_STD
- #if _LIBCPP_STD_VER > 17
- template <class _Tp>
- _LIBCPP_INLINE_VISIBILITY constexpr
- enable_if_t<is_integral_v<_Tp> && !is_same_v<bool, _Tp> && !is_null_pointer_v<_Tp>, _Tp>
- midpoint(_Tp __a, _Tp __b) noexcept
- _LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK
- {
- using _Up = make_unsigned_t<_Tp>;
- constexpr _Up __bitshift = numeric_limits<_Up>::digits - 1;
- _Up __diff = _Up(__b) - _Up(__a);
- _Up __sign_bit = __b < __a;
- _Up __half_diff = (__diff / 2) + (__sign_bit << __bitshift) + (__sign_bit & __diff);
- return __a + __half_diff;
- }
- template <class _TPtr>
- _LIBCPP_INLINE_VISIBILITY constexpr
- enable_if_t<is_pointer_v<_TPtr>
- && is_object_v<remove_pointer_t<_TPtr>>
- && ! is_void_v<remove_pointer_t<_TPtr>>
- && (sizeof(remove_pointer_t<_TPtr>) > 0), _TPtr>
- midpoint(_TPtr __a, _TPtr __b) noexcept
- {
- return __a + _VSTD::midpoint(ptrdiff_t(0), __b - __a);
- }
- template <typename _Tp>
- _LIBCPP_HIDE_FROM_ABI constexpr int __sign(_Tp __val) {
- return (_Tp(0) < __val) - (__val < _Tp(0));
- }
- template <typename _Fp>
- _LIBCPP_HIDE_FROM_ABI constexpr _Fp __fp_abs(_Fp __f) { return __f >= 0 ? __f : -__f; }
- template <class _Fp>
- _LIBCPP_INLINE_VISIBILITY constexpr
- enable_if_t<is_floating_point_v<_Fp>, _Fp>
- midpoint(_Fp __a, _Fp __b) noexcept
- {
- constexpr _Fp __lo = numeric_limits<_Fp>::min()*2;
- constexpr _Fp __hi = numeric_limits<_Fp>::max()/2;
- return std::__fp_abs(__a) <= __hi && std::__fp_abs(__b) <= __hi ? // typical case: overflow is impossible
- (__a + __b)/2 : // always correctly rounded
- std::__fp_abs(__a) < __lo ? __a + __b/2 : // not safe to halve a
- std::__fp_abs(__b) < __lo ? __a/2 + __b : // not safe to halve b
- __a/2 + __b/2; // otherwise correctly rounded
- }
- #endif // _LIBCPP_STD_VER > 17
- _LIBCPP_END_NAMESPACE_STD
- _LIBCPP_POP_MACROS
- #endif // _LIBCPP___NUMERIC_MIDPOINT_H
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