strong_order.h 6.3 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136
  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. #ifndef _LIBCPP___COMPARE_STRONG_ORDER
  9. #define _LIBCPP___COMPARE_STRONG_ORDER
  10. #include <__bit/bit_cast.h>
  11. #include <__compare/compare_three_way.h>
  12. #include <__compare/ordering.h>
  13. #include <__config>
  14. #include <__utility/forward.h>
  15. #include <__utility/priority_tag.h>
  16. #include <cmath>
  17. #include <cstdint>
  18. #include <limits>
  19. #include <type_traits>
  20. #ifndef _LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER
  21. # pragma GCC system_header
  22. #endif
  23. _LIBCPP_PUSH_MACROS
  24. #include <__undef_macros>
  25. _LIBCPP_BEGIN_NAMESPACE_STD
  26. #if !defined(_LIBCPP_HAS_NO_CONCEPTS)
  27. // [cmp.alg]
  28. namespace __strong_order {
  29. struct __fn {
  30. template<class _Tp, class _Up>
  31. requires is_same_v<decay_t<_Tp>, decay_t<_Up>>
  32. _LIBCPP_HIDE_FROM_ABI static constexpr auto
  33. __go(_Tp&& __t, _Up&& __u, __priority_tag<2>)
  34. noexcept(noexcept(strong_ordering(strong_order(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u)))))
  35. -> decltype( strong_ordering(strong_order(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u))))
  36. { return strong_ordering(strong_order(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u))); }
  37. template<class _Tp, class _Up, class _Dp = decay_t<_Tp>>
  38. requires is_same_v<_Dp, decay_t<_Up>> && is_floating_point_v<_Dp>
  39. _LIBCPP_HIDE_FROM_ABI static constexpr strong_ordering
  40. __go(_Tp&& __t, _Up&& __u, __priority_tag<1>) noexcept
  41. {
  42. if constexpr (numeric_limits<_Dp>::is_iec559 && sizeof(_Dp) == sizeof(int32_t)) {
  43. int32_t __rx = _VSTD::bit_cast<int32_t>(__t);
  44. int32_t __ry = _VSTD::bit_cast<int32_t>(__u);
  45. __rx = (__rx < 0) ? (numeric_limits<int32_t>::min() - __rx - 1) : __rx;
  46. __ry = (__ry < 0) ? (numeric_limits<int32_t>::min() - __ry - 1) : __ry;
  47. return (__rx <=> __ry);
  48. } else if constexpr (numeric_limits<_Dp>::is_iec559 && sizeof(_Dp) == sizeof(int64_t)) {
  49. int64_t __rx = _VSTD::bit_cast<int64_t>(__t);
  50. int64_t __ry = _VSTD::bit_cast<int64_t>(__u);
  51. __rx = (__rx < 0) ? (numeric_limits<int64_t>::min() - __rx - 1) : __rx;
  52. __ry = (__ry < 0) ? (numeric_limits<int64_t>::min() - __ry - 1) : __ry;
  53. return (__rx <=> __ry);
  54. } else if (__t < __u) {
  55. return strong_ordering::less;
  56. } else if (__t > __u) {
  57. return strong_ordering::greater;
  58. } else if (__t == __u) {
  59. if constexpr (numeric_limits<_Dp>::radix == 2) {
  60. return _VSTD::signbit(__u) <=> _VSTD::signbit(__t);
  61. } else {
  62. // This is bullet 3 of the IEEE754 algorithm, relevant
  63. // only for decimal floating-point;
  64. // see https://stackoverflow.com/questions/69068075/
  65. if (__t == 0 || _VSTD::isinf(__t)) {
  66. return _VSTD::signbit(__u) <=> _VSTD::signbit(__t);
  67. } else {
  68. int __texp, __uexp;
  69. (void)_VSTD::frexp(__t, &__texp);
  70. (void)_VSTD::frexp(__u, &__uexp);
  71. return (__t < 0) ? (__texp <=> __uexp) : (__uexp <=> __texp);
  72. }
  73. }
  74. } else {
  75. // They're unordered, so one of them must be a NAN.
  76. // The order is -QNAN, -SNAN, numbers, +SNAN, +QNAN.
  77. bool __t_is_nan = _VSTD::isnan(__t);
  78. bool __u_is_nan = _VSTD::isnan(__u);
  79. bool __t_is_negative = _VSTD::signbit(__t);
  80. bool __u_is_negative = _VSTD::signbit(__u);
  81. using _IntType = conditional_t<
  82. sizeof(__t) == sizeof(int32_t), int32_t, conditional_t<
  83. sizeof(__t) == sizeof(int64_t), int64_t, void>
  84. >;
  85. if constexpr (is_same_v<_IntType, void>) {
  86. static_assert(sizeof(_Dp) == 0, "std::strong_order is unimplemented for this floating-point type");
  87. } else if (__t_is_nan && __u_is_nan) {
  88. // Order by sign bit, then by "payload bits" (we'll just use bit_cast).
  89. if (__t_is_negative != __u_is_negative) {
  90. return (__u_is_negative <=> __t_is_negative);
  91. } else {
  92. return _VSTD::bit_cast<_IntType>(__t) <=> _VSTD::bit_cast<_IntType>(__u);
  93. }
  94. } else if (__t_is_nan) {
  95. return __t_is_negative ? strong_ordering::less : strong_ordering::greater;
  96. } else {
  97. return __u_is_negative ? strong_ordering::greater : strong_ordering::less;
  98. }
  99. }
  100. }
  101. template<class _Tp, class _Up>
  102. requires is_same_v<decay_t<_Tp>, decay_t<_Up>>
  103. _LIBCPP_HIDE_FROM_ABI static constexpr auto
  104. __go(_Tp&& __t, _Up&& __u, __priority_tag<0>)
  105. noexcept(noexcept(strong_ordering(compare_three_way()(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u)))))
  106. -> decltype( strong_ordering(compare_three_way()(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u))))
  107. { return strong_ordering(compare_three_way()(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u))); }
  108. template<class _Tp, class _Up>
  109. _LIBCPP_HIDE_FROM_ABI constexpr auto operator()(_Tp&& __t, _Up&& __u) const
  110. noexcept(noexcept(__go(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u), __priority_tag<2>())))
  111. -> decltype( __go(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u), __priority_tag<2>()))
  112. { return __go(_VSTD::forward<_Tp>(__t), _VSTD::forward<_Up>(__u), __priority_tag<2>()); }
  113. };
  114. } // namespace __strong_order
  115. inline namespace __cpo {
  116. inline constexpr auto strong_order = __strong_order::__fn{};
  117. } // namespace __cpo
  118. #endif // !defined(_LIBCPP_HAS_NO_CONCEPTS)
  119. _LIBCPP_END_NAMESPACE_STD
  120. _LIBCPP_POP_MACROS
  121. #endif // _LIBCPP___COMPARE_STRONG_ORDER