midpoint.h 2.8 KB

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  1. // -*- C++ -*-
  2. //===----------------------------------------------------------------------===//
  3. //
  4. // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
  5. // See https://llvm.org/LICENSE.txt for license information.
  6. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
  7. //
  8. //===----------------------------------------------------------------------===//
  9. #ifndef _LIBCPP___NUMERIC_MIDPOINT_H
  10. #define _LIBCPP___NUMERIC_MIDPOINT_H
  11. #include <__config>
  12. #include <__type_traits/enable_if.h>
  13. #include <__type_traits/is_floating_point.h>
  14. #include <__type_traits/is_integral.h>
  15. #include <__type_traits/is_null_pointer.h>
  16. #include <__type_traits/is_object.h>
  17. #include <__type_traits/is_pointer.h>
  18. #include <__type_traits/is_same.h>
  19. #include <__type_traits/is_void.h>
  20. #include <__type_traits/make_unsigned.h>
  21. #include <__type_traits/remove_pointer.h>
  22. #include <cstddef>
  23. #include <limits>
  24. #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
  25. # pragma GCC system_header
  26. #endif
  27. _LIBCPP_PUSH_MACROS
  28. #include <__undef_macros>
  29. _LIBCPP_BEGIN_NAMESPACE_STD
  30. #if _LIBCPP_STD_VER >= 20
  31. template <class _Tp>
  32. _LIBCPP_HIDE_FROM_ABI constexpr enable_if_t<is_integral_v<_Tp> && !is_same_v<bool, _Tp> && !is_null_pointer_v<_Tp>, _Tp>
  33. midpoint(_Tp __a, _Tp __b) noexcept _LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK {
  34. using _Up = make_unsigned_t<_Tp>;
  35. constexpr _Up __bitshift = numeric_limits<_Up>::digits - 1;
  36. _Up __diff = _Up(__b) - _Up(__a);
  37. _Up __sign_bit = __b < __a;
  38. _Up __half_diff = (__diff / 2) + (__sign_bit << __bitshift) + (__sign_bit & __diff);
  39. return __a + __half_diff;
  40. }
  41. template <class _Tp, enable_if_t<is_object_v<_Tp> && !is_void_v<_Tp> && (sizeof(_Tp) > 0), int> = 0>
  42. _LIBCPP_HIDE_FROM_ABI constexpr _Tp* midpoint(_Tp* __a, _Tp* __b) noexcept {
  43. return __a + std::midpoint(ptrdiff_t(0), __b - __a);
  44. }
  45. template <typename _Tp>
  46. _LIBCPP_HIDE_FROM_ABI constexpr int __sign(_Tp __val) {
  47. return (_Tp(0) < __val) - (__val < _Tp(0));
  48. }
  49. template <typename _Fp>
  50. _LIBCPP_HIDE_FROM_ABI constexpr _Fp __fp_abs(_Fp __f) {
  51. return __f >= 0 ? __f : -__f;
  52. }
  53. template <class _Fp>
  54. _LIBCPP_HIDE_FROM_ABI constexpr enable_if_t<is_floating_point_v<_Fp>, _Fp> midpoint(_Fp __a, _Fp __b) noexcept {
  55. constexpr _Fp __lo = numeric_limits<_Fp>::min() * 2;
  56. constexpr _Fp __hi = numeric_limits<_Fp>::max() / 2;
  57. // typical case: overflow is impossible
  58. if (std::__fp_abs(__a) <= __hi && std::__fp_abs(__b) <= __hi)
  59. return (__a + __b) / 2; // always correctly rounded
  60. if (std::__fp_abs(__a) < __lo)
  61. return __a + __b / 2; // not safe to halve a
  62. if (std::__fp_abs(__b) < __lo)
  63. return __a / 2 + __b; // not safe to halve b
  64. return __a / 2 + __b / 2; // otherwise correctly rounded
  65. }
  66. #endif // _LIBCPP_STD_VER >= 20
  67. _LIBCPP_END_NAMESPACE_STD
  68. _LIBCPP_POP_MACROS
  69. #endif // _LIBCPP___NUMERIC_MIDPOINT_H