midpoint.h 2.6 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 <limits>
  13. #include <type_traits>
  14. #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
  15. # pragma GCC system_header
  16. #endif
  17. _LIBCPP_PUSH_MACROS
  18. #include <__undef_macros>
  19. _LIBCPP_BEGIN_NAMESPACE_STD
  20. #if _LIBCPP_STD_VER > 17
  21. template <class _Tp>
  22. _LIBCPP_INLINE_VISIBILITY constexpr
  23. enable_if_t<is_integral_v<_Tp> && !is_same_v<bool, _Tp> && !is_null_pointer_v<_Tp>, _Tp>
  24. midpoint(_Tp __a, _Tp __b) noexcept
  25. _LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK
  26. {
  27. using _Up = make_unsigned_t<_Tp>;
  28. constexpr _Up __bitshift = numeric_limits<_Up>::digits - 1;
  29. _Up __diff = _Up(__b) - _Up(__a);
  30. _Up __sign_bit = __b < __a;
  31. _Up __half_diff = (__diff / 2) + (__sign_bit << __bitshift) + (__sign_bit & __diff);
  32. return __a + __half_diff;
  33. }
  34. template <class _TPtr>
  35. _LIBCPP_INLINE_VISIBILITY constexpr
  36. enable_if_t<is_pointer_v<_TPtr>
  37. && is_object_v<remove_pointer_t<_TPtr>>
  38. && ! is_void_v<remove_pointer_t<_TPtr>>
  39. && (sizeof(remove_pointer_t<_TPtr>) > 0), _TPtr>
  40. midpoint(_TPtr __a, _TPtr __b) noexcept
  41. {
  42. return __a + _VSTD::midpoint(ptrdiff_t(0), __b - __a);
  43. }
  44. template <typename _Tp>
  45. constexpr int __sign(_Tp __val) {
  46. return (_Tp(0) < __val) - (__val < _Tp(0));
  47. }
  48. template <typename _Fp>
  49. constexpr _Fp __fp_abs(_Fp __f) { return __f >= 0 ? __f : -__f; }
  50. template <class _Fp>
  51. _LIBCPP_INLINE_VISIBILITY constexpr
  52. enable_if_t<is_floating_point_v<_Fp>, _Fp>
  53. midpoint(_Fp __a, _Fp __b) noexcept
  54. {
  55. constexpr _Fp __lo = numeric_limits<_Fp>::min()*2;
  56. constexpr _Fp __hi = numeric_limits<_Fp>::max()/2;
  57. return __fp_abs(__a) <= __hi && __fp_abs(__b) <= __hi ? // typical case: overflow is impossible
  58. (__a + __b)/2 : // always correctly rounded
  59. __fp_abs(__a) < __lo ? __a + __b/2 : // not safe to halve a
  60. __fp_abs(__b) < __lo ? __a/2 + __b : // not safe to halve b
  61. __a/2 + __b/2; // otherwise correctly rounded
  62. }
  63. #endif // _LIBCPP_STD_VER > 17
  64. _LIBCPP_END_NAMESPACE_STD
  65. _LIBCPP_POP_MACROS
  66. #endif // _LIBCPP___NUMERIC_MIDPOINT_H