derek.holloway
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101 lines
3.2 KiB
C++
101 lines
3.2 KiB
C++
// -*- C++ -*-
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//===----------------------------------------------------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#ifndef _LIBCUDACXX___NUMERIC_MIDPOINT_H
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#define _LIBCUDACXX___NUMERIC_MIDPOINT_H
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#include <cuda/std/detail/__config>
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#if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC)
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# pragma GCC system_header
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#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG)
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# pragma clang system_header
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#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC)
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# pragma system_header
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#endif // no system header
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#include <cuda/std/__type_traits/enable_if.h>
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#include <cuda/std/__type_traits/is_floating_point.h>
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#include <cuda/std/__type_traits/is_integral.h>
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#include <cuda/std/__type_traits/is_null_pointer.h>
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#include <cuda/std/__type_traits/is_object.h>
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#include <cuda/std/__type_traits/is_pointer.h>
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#include <cuda/std/__type_traits/is_same.h>
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#include <cuda/std/__type_traits/is_void.h>
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#include <cuda/std/__type_traits/make_unsigned.h>
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#include <cuda/std/__type_traits/remove_pointer.h>
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#include <cuda/std/cstddef>
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#include <cuda/std/limits>
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_CCCL_PUSH_MACROS
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_LIBCUDACXX_BEGIN_NAMESPACE_STD
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template <class _Tp>
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_CCCL_NODISCARD _LIBCUDACXX_HIDE_FROM_ABI constexpr enable_if_t<
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_CCCL_TRAIT(is_integral, _Tp) && !_CCCL_TRAIT(is_same, bool, _Tp) && !_CCCL_TRAIT(is_null_pointer, _Tp),
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_Tp>
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midpoint(_Tp __a, _Tp __b) noexcept
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{
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using _Up = make_unsigned_t<_Tp>;
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if (__a > __b)
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{
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const _Up __diff = _Up(__a) - _Up(__b);
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return static_cast<_Tp>(__a - static_cast<_Tp>(__diff / 2));
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}
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else
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{
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const _Up __diff = _Up(__b) - _Up(__a);
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return static_cast<_Tp>(__a + static_cast<_Tp>(__diff / 2));
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}
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}
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template <class _Tp,
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enable_if_t<_CCCL_TRAIT(is_object, _Tp) && !_CCCL_TRAIT(is_void, _Tp) && (sizeof(_Tp) > 0), int> = 0>
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_CCCL_NODISCARD _LIBCUDACXX_HIDE_FROM_ABI constexpr _Tp* midpoint(_Tp* __a, _Tp* __b) noexcept
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{
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return __a + _CUDA_VSTD::midpoint(ptrdiff_t(0), __b - __a);
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}
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template <typename _Tp>
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_CCCL_NODISCARD _LIBCUDACXX_HIDE_FROM_ABI constexpr int __sign(_Tp __val)
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{
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return (_Tp(0) < __val) - (__val < _Tp(0));
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}
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template <typename _Fp>
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_CCCL_NODISCARD _LIBCUDACXX_HIDE_FROM_ABI constexpr _Fp __fp_abs(_Fp __f)
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{
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return __f >= 0 ? __f : -__f;
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}
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template <class _Fp>
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_CCCL_NODISCARD _LIBCUDACXX_HIDE_FROM_ABI constexpr enable_if_t<_CCCL_TRAIT(is_floating_point, _Fp), _Fp>
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midpoint(_Fp __a, _Fp __b) noexcept
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{
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constexpr _Fp __lo = numeric_limits<_Fp>::min() * 2;
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constexpr _Fp __hi = numeric_limits<_Fp>::max() / 2;
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return _CUDA_VSTD::__fp_abs(__a) <= __hi && _CUDA_VSTD::__fp_abs(__b) <= __hi
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? // typical case: overflow is impossible
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(__a + __b) / 2
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: // always correctly rounded
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_CUDA_VSTD::__fp_abs(__a) < __lo ? __a + __b / 2 : // not safe to halve a
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_CUDA_VSTD::__fp_abs(__b) < __lo
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? __a / 2 + __b
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: // not safe to halve b
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__a / 2 + __b / 2; // otherwise correctly rounded
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}
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_LIBCUDACXX_END_NAMESPACE_STD
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_CCCL_POP_MACROS
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#endif // _LIBCUDACXX___NUMERIC_MIDPOINT_H
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