//===----------------------------------------------------------------------===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// #ifndef _LIBCPP___ALGORITHM_NTH_ELEMENT_H #define _LIBCPP___ALGORITHM_NTH_ELEMENT_H #include <__algorithm/comp.h> #include <__algorithm/comp_ref_type.h> #include <__algorithm/iterator_operations.h> #include <__algorithm/sort.h> #include <__assert> #include <__config> #include <__debug_utils/randomize_range.h> #include <__iterator/iterator_traits.h> #include <__utility/move.h> #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) # pragma GCC system_header #endif _LIBCPP_PUSH_MACROS #include <__undef_macros> _LIBCPP_BEGIN_NAMESPACE_STD template _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool __nth_element_find_guard( _RandomAccessIterator& __i, _RandomAccessIterator& __j, _RandomAccessIterator __m, _Compare __comp) { // manually guard downward moving __j against __i while (true) { if (__i == --__j) { return false; } if (__comp(*__j, *__m)) { return true; // found guard for downward moving __j, now use unguarded partition } } } template _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 void // NOLINTNEXTLINE(readability-function-cognitive-complexity) __nth_element( _RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last, _Compare __comp) { using _Ops = _IterOps<_AlgPolicy>; // _Compare is known to be a reference type typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type; const difference_type __limit = 7; while (true) { if (__nth == __last) return; difference_type __len = __last - __first; switch (__len) { case 0: case 1: return; case 2: if (__comp(*--__last, *__first)) _Ops::iter_swap(__first, __last); return; case 3: { _RandomAccessIterator __m = __first; std::__sort3<_AlgPolicy, _Compare>(__first, ++__m, --__last, __comp); return; } } if (__len <= __limit) { std::__selection_sort<_AlgPolicy, _Compare>(__first, __last, __comp); return; } // __len > __limit >= 3 _RandomAccessIterator __m = __first + __len / 2; _RandomAccessIterator __lm1 = __last; unsigned __n_swaps = std::__sort3<_AlgPolicy, _Compare>(__first, __m, --__lm1, __comp); // *__m is median // partition [__first, __m) < *__m and *__m <= [__m, __last) // (this inhibits tossing elements equivalent to __m around unnecessarily) _RandomAccessIterator __i = __first; _RandomAccessIterator __j = __lm1; // j points beyond range to be tested, *__lm1 is known to be <= *__m // The search going up is known to be guarded but the search coming down isn't. // Prime the downward search with a guard. if (!__comp(*__i, *__m)) // if *__first == *__m { // *__first == *__m, *__first doesn't go in first part if (std::__nth_element_find_guard<_Compare>(__i, __j, __m, __comp)) { _Ops::iter_swap(__i, __j); ++__n_swaps; } else { // *__first == *__m, *__m <= all other elements // Partition instead into [__first, __i) == *__first and *__first < [__i, __last) ++__i; // __first + 1 __j = __last; if (!__comp(*__first, *--__j)) { // we need a guard if *__first == *(__last-1) while (true) { if (__i == __j) { return; // [__first, __last) all equivalent elements } else if (__comp(*__first, *__i)) { _Ops::iter_swap(__i, __j); ++__n_swaps; ++__i; break; } ++__i; } } // [__first, __i) == *__first and *__first < [__j, __last) and __j == __last - 1 if (__i == __j) { return; } while (true) { while (!__comp(*__first, *__i)) { ++__i; _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS( __i != __last, "Would read out of bounds, does your comparator satisfy the strict-weak ordering requirement?"); } do { _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS( __j != __first, "Would read out of bounds, does your comparator satisfy the strict-weak ordering requirement?"); --__j; } while (__comp(*__first, *__j)); if (__i >= __j) break; _Ops::iter_swap(__i, __j); ++__n_swaps; ++__i; } // [__first, __i) == *__first and *__first < [__i, __last) // The first part is sorted, if (__nth < __i) { return; } // __nth_element the second part // std::__nth_element<_Compare>(__i, __nth, __last, __comp); __first = __i; continue; } } ++__i; // j points beyond range to be tested, *__lm1 is known to be <= *__m // if not yet partitioned... if (__i < __j) { // known that *(__i - 1) < *__m while (true) { // __m still guards upward moving __i while (__comp(*__i, *__m)) { ++__i; _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS( __i != __last, "Would read out of bounds, does your comparator satisfy the strict-weak ordering requirement?"); } // It is now known that a guard exists for downward moving __j do { _LIBCPP_ASSERT_VALID_ELEMENT_ACCESS( __j != __first, "Would read out of bounds, does your comparator satisfy the strict-weak ordering requirement?"); --__j; } while (!__comp(*__j, *__m)); if (__i >= __j) break; _Ops::iter_swap(__i, __j); ++__n_swaps; // It is known that __m != __j // If __m just moved, follow it if (__m == __i) __m = __j; ++__i; } } // [__first, __i) < *__m and *__m <= [__i, __last) if (__i != __m && __comp(*__m, *__i)) { _Ops::iter_swap(__i, __m); ++__n_swaps; } // [__first, __i) < *__i and *__i <= [__i+1, __last) if (__nth == __i) return; if (__n_swaps == 0) { // We were given a perfectly partitioned sequence. Coincidence? if (__nth < __i) { // Check for [__first, __i) already sorted __j = __m = __first; while (true) { if (++__j == __i) { // [__first, __i) sorted return; } if (__comp(*__j, *__m)) { // not yet sorted, so sort break; } __m = __j; } } else { // Check for [__i, __last) already sorted __j = __m = __i; while (true) { if (++__j == __last) { // [__i, __last) sorted return; } if (__comp(*__j, *__m)) { // not yet sorted, so sort break; } __m = __j; } } } // __nth_element on range containing __nth if (__nth < __i) { // std::__nth_element<_Compare>(__first, __nth, __i, __comp); __last = __i; } else { // std::__nth_element<_Compare>(__i+1, __nth, __last, __comp); __first = ++__i; } } } template inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void __nth_element_impl( _RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last, _Compare& __comp) { if (__nth == __last) return; std::__debug_randomize_range<_AlgPolicy>(__first, __last); std::__nth_element<_AlgPolicy, __comp_ref_type<_Compare> >(__first, __nth, __last, __comp); std::__debug_randomize_range<_AlgPolicy>(__first, __nth); if (__nth != __last) { std::__debug_randomize_range<_AlgPolicy>(++__nth, __last); } } template inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last, _Compare __comp) { std::__nth_element_impl<_ClassicAlgPolicy>(std::move(__first), std::move(__nth), std::move(__last), __comp); } template inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last) { std::nth_element(std::move(__first), std::move(__nth), std::move(__last), __less<>()); } _LIBCPP_END_NAMESPACE_STD _LIBCPP_POP_MACROS #endif // _LIBCPP___ALGORITHM_NTH_ELEMENT_H