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  1//===----------------------------------------------------------------------===//
  2//
  3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
  4// See https://llvm.org/LICENSE.txt for license information.
  5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
  6//
  7//===----------------------------------------------------------------------===//
  8
  9#ifndef _LIBCPP___COMPARE_STRONG_ORDER
 10#define _LIBCPP___COMPARE_STRONG_ORDER
 11
 12#include <__bit/bit_cast.h>
 13#include <__compare/compare_three_way.h>
 14#include <__compare/ordering.h>
 15#include <__config>
 16#include <__math/exponential_functions.h>
 17#include <__math/traits.h>
 18#include <__type_traits/conditional.h>
 19#include <__type_traits/decay.h>
 20#include <__type_traits/is_floating_point.h>
 21#include <__type_traits/is_same.h>
 22#include <__utility/forward.h>
 23#include <__utility/priority_tag.h>
 24#include <cstdint>
 25#include <limits>
 26
 27#ifndef _LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER
 28#  pragma GCC system_header
 29#endif
 30
 31_LIBCPP_PUSH_MACROS
 32#include <__undef_macros>
 33
 34_LIBCPP_BEGIN_NAMESPACE_STD
 35
 36#if _LIBCPP_STD_VER >= 20
 37
 38// [cmp.alg]
 39namespace __strong_order {
 40void strong_order() = delete;
 41
 42struct __fn {
 43  // NOLINTBEGIN(libcpp-robust-against-adl) strong_order should use ADL, but only here
 44  template <class _Tp, class _Up>
 45    requires is_same_v<decay_t<_Tp>, decay_t<_Up>>
 46  _LIBCPP_HIDE_FROM_ABI static constexpr auto __go(_Tp&& __t, _Up&& __u, __priority_tag<2>) noexcept(
 47      noexcept(strong_ordering(strong_order(std::forward<_Tp>(__t), std::forward<_Up>(__u)))))
 48      -> decltype(strong_ordering(strong_order(std::forward<_Tp>(__t), std::forward<_Up>(__u)))) {
 49    return strong_ordering(strong_order(std::forward<_Tp>(__t), std::forward<_Up>(__u)));
 50  }
 51  // NOLINTEND(libcpp-robust-against-adl)
 52
 53  template <class _Tp, class _Up, class _Dp = decay_t<_Tp>>
 54    requires is_same_v<_Dp, decay_t<_Up>> && is_floating_point_v<_Dp>
 55  _LIBCPP_HIDE_FROM_ABI static constexpr strong_ordering __go(_Tp&& __t, _Up&& __u, __priority_tag<1>) noexcept {
 56    if constexpr (numeric_limits<_Dp>::is_iec559 && sizeof(_Dp) == sizeof(int32_t)) {
 57      int32_t __rx = std::bit_cast<int32_t>(__t);
 58      int32_t __ry = std::bit_cast<int32_t>(__u);
 59      __rx         = (__rx < 0) ? (numeric_limits<int32_t>::min() - __rx - 1) : __rx;
 60      __ry         = (__ry < 0) ? (numeric_limits<int32_t>::min() - __ry - 1) : __ry;
 61      return (__rx <=> __ry);
 62    } else if constexpr (numeric_limits<_Dp>::is_iec559 && sizeof(_Dp) == sizeof(int64_t)) {
 63      int64_t __rx = std::bit_cast<int64_t>(__t);
 64      int64_t __ry = std::bit_cast<int64_t>(__u);
 65      __rx         = (__rx < 0) ? (numeric_limits<int64_t>::min() - __rx - 1) : __rx;
 66      __ry         = (__ry < 0) ? (numeric_limits<int64_t>::min() - __ry - 1) : __ry;
 67      return (__rx <=> __ry);
 68    } else if (__t < __u) {
 69      return strong_ordering::less;
 70    } else if (__t > __u) {
 71      return strong_ordering::greater;
 72    } else if (__t == __u) {
 73      if constexpr (numeric_limits<_Dp>::radix == 2) {
 74        return __math::signbit(__u) <=> __math::signbit(__t);
 75      } else {
 76        // This is bullet 3 of the IEEE754 algorithm, relevant
 77        // only for decimal floating-point;
 78        // see https://stackoverflow.com/questions/69068075/
 79        if (__t == 0 || __math::isinf(__t)) {
 80          return __math::signbit(__u) <=> __math::signbit(__t);
 81        } else {
 82          int __texp, __uexp;
 83          (void)__math::frexp(__t, &__texp);
 84          (void)__math::frexp(__u, &__uexp);
 85          return (__t < 0) ? (__texp <=> __uexp) : (__uexp <=> __texp);
 86        }
 87      }
 88    } else {
 89      // They're unordered, so one of them must be a NAN.
 90      // The order is -QNAN, -SNAN, numbers, +SNAN, +QNAN.
 91      bool __t_is_nan      = __math::isnan(__t);
 92      bool __u_is_nan      = __math::isnan(__u);
 93      bool __t_is_negative = __math::signbit(__t);
 94      bool __u_is_negative = __math::signbit(__u);
 95      using _IntType =
 96          conditional_t< sizeof(__t) == sizeof(int32_t),
 97                         int32_t,
 98                         conditional_t< sizeof(__t) == sizeof(int64_t), int64_t, void> >;
 99      if constexpr (is_same_v<_IntType, void>) {
100        static_assert(sizeof(_Dp) == 0, "std::strong_order is unimplemented for this floating-point type");
101      } else if (__t_is_nan && __u_is_nan) {
102        // Order by sign bit, then by "payload bits" (we'll just use bit_cast).
103        if (__t_is_negative != __u_is_negative) {
104          return (__u_is_negative <=> __t_is_negative);
105        } else {
106          return std::bit_cast<_IntType>(__t) <=> std::bit_cast<_IntType>(__u);
107        }
108      } else if (__t_is_nan) {
109        return __t_is_negative ? strong_ordering::less : strong_ordering::greater;
110      } else {
111        return __u_is_negative ? strong_ordering::greater : strong_ordering::less;
112      }
113    }
114  }
115
116  template <class _Tp, class _Up>
117    requires is_same_v<decay_t<_Tp>, decay_t<_Up>>
118  _LIBCPP_HIDE_FROM_ABI static constexpr auto __go(_Tp&& __t, _Up&& __u, __priority_tag<0>) noexcept(
119      noexcept(strong_ordering(compare_three_way()(std::forward<_Tp>(__t), std::forward<_Up>(__u)))))
120      -> decltype(strong_ordering(compare_three_way()(std::forward<_Tp>(__t), std::forward<_Up>(__u)))) {
121    return strong_ordering(compare_three_way()(std::forward<_Tp>(__t), std::forward<_Up>(__u)));
122  }
123
124  template <class _Tp, class _Up>
125  _LIBCPP_HIDE_FROM_ABI constexpr auto operator()(_Tp&& __t, _Up&& __u) const
126      noexcept(noexcept(__go(std::forward<_Tp>(__t), std::forward<_Up>(__u), __priority_tag<2>())))
127          -> decltype(__go(std::forward<_Tp>(__t), std::forward<_Up>(__u), __priority_tag<2>())) {
128    return __go(std::forward<_Tp>(__t), std::forward<_Up>(__u), __priority_tag<2>());
129  }
130};
131} // namespace __strong_order
132
133inline namespace __cpo {
134inline constexpr auto strong_order = __strong_order::__fn{};
135} // namespace __cpo
136
137#endif // _LIBCPP_STD_VER >= 20
138
139_LIBCPP_END_NAMESPACE_STD
140
141_LIBCPP_POP_MACROS
142
143#endif // _LIBCPP___COMPARE_STRONG_ORDER