Restoring authorship annotation for Andrey Khalyavin <halyavin@gmail.com>. Commit 2 of 2.

1 files changed, 604 insertions, 604 deletions

diff --git a/contrib/libs/cxxsupp/libcxx/include/numeric b/contrib/libs/cxxsupp/libcxx/include/numeric
index 9513b528d4..8ea7ecc375 100644
--- a/contrib/libs/cxxsupp/libcxx/include/numeric
+++ b/contrib/libs/cxxsupp/libcxx/include/numeric
@@ -1,636 +1,636 @@
-// -*- C++ -*- 
-//===---------------------------- numeric ---------------------------------===// 
-// 
+// -*- C++ -*-
+//===---------------------------- numeric ---------------------------------===//
+//
 // 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_NUMERIC 
-#define _LIBCPP_NUMERIC 
- 
-/* 
-    numeric synopsis 
- 
-namespace std 
-{ 
- 
-template <class InputIterator, class T> 
-    constexpr T  // constexpr since C++20 
-    accumulate(InputIterator first, InputIterator last, T init); 
- 
-template <class InputIterator, class T, class BinaryOperation> 
-    constexpr T  // constexpr since C++20 
-    accumulate(InputIterator first, InputIterator last, T init, BinaryOperation binary_op); 
- 
-template<class InputIterator> 
-    constexpr typename iterator_traits<InputIterator>::value_type  // constexpr since C++20 
-    reduce(InputIterator first, InputIterator last);  // C++17 
- 
-template<class InputIterator, class T> 
-    constexpr T  // constexpr since C++20 
-    reduce(InputIterator first, InputIterator last, T init);  // C++17 
- 
-template<class InputIterator, class T, class BinaryOperation> 
-    constexpr T  // constexpr since C++20 
-    reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op);  // C++17 
- 
-template <class InputIterator1, class InputIterator2, class T> 
-    constexpr T  // constexpr since C++20 
-    inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init); 
- 
-template <class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2> 
-    constexpr T  // constexpr since C++20 
-    inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, 
-                  T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2); 
- 
- 
-template<class InputIterator1, class InputIterator2, class T> 
-    constexpr T  // constexpr since C++20 
-    transform_reduce(InputIterator1 first1, InputIterator1 last1, 
-                     InputIterator2 first2, T init);  // C++17 
-
-template<class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2> 
-    constexpr T  // constexpr since C++20 
-    transform_reduce(InputIterator1 first1, InputIterator1 last1, 
-                     InputIterator2 first2, T init, 
-                     BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);  // C++17 
- 
-template<class InputIterator, class T, class BinaryOperation, class UnaryOperation> 
-    constexpr T  // constexpr since C++20 
-    transform_reduce(InputIterator first, InputIterator last, T init, 
-                     BinaryOperation binary_op, UnaryOperation unary_op);  // C++17 
- 
-template <class InputIterator, class OutputIterator> 
-    constexpr OutputIterator  // constexpr since C++20 
-    partial_sum(InputIterator first, InputIterator last, OutputIterator result); 
- 
-template <class InputIterator, class OutputIterator, class BinaryOperation> 
-    constexpr OutputIterator  // constexpr since C++20 
-    partial_sum(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op); 
- 
-template<class InputIterator, class OutputIterator, class T> 
-    constexpr OutputIterator  // constexpr since C++20 
-    exclusive_scan(InputIterator first, InputIterator last, 
-                   OutputIterator result, T init); // C++17 
-
-template<class InputIterator, class OutputIterator, class T, class BinaryOperation> 
-    constexpr OutputIterator  // constexpr since C++20 
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP_NUMERIC
+#define _LIBCPP_NUMERIC
+
+/*
+    numeric synopsis
+
+namespace std
+{
+
+template <class InputIterator, class T>
+    constexpr T  // constexpr since C++20
+    accumulate(InputIterator first, InputIterator last, T init);
+
+template <class InputIterator, class T, class BinaryOperation>
+    constexpr T  // constexpr since C++20
+    accumulate(InputIterator first, InputIterator last, T init, BinaryOperation binary_op);
+
+template<class InputIterator>
+    constexpr typename iterator_traits<InputIterator>::value_type  // constexpr since C++20
+    reduce(InputIterator first, InputIterator last);  // C++17
+
+template<class InputIterator, class T>
+    constexpr T  // constexpr since C++20
+    reduce(InputIterator first, InputIterator last, T init);  // C++17
+
+template<class InputIterator, class T, class BinaryOperation>
+    constexpr T  // constexpr since C++20
+    reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op);  // C++17
+
+template <class InputIterator1, class InputIterator2, class T>
+    constexpr T  // constexpr since C++20
+    inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init);
+
+template <class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2>
+    constexpr T  // constexpr since C++20
+    inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2,
+                  T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);
+
+
+template<class InputIterator1, class InputIterator2, class T>
+    constexpr T  // constexpr since C++20
+    transform_reduce(InputIterator1 first1, InputIterator1 last1,
+                     InputIterator2 first2, T init);  // C++17
+
+template<class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2>
+    constexpr T  // constexpr since C++20
+    transform_reduce(InputIterator1 first1, InputIterator1 last1,
+                     InputIterator2 first2, T init,
+                     BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);  // C++17
+
+template<class InputIterator, class T, class BinaryOperation, class UnaryOperation>
+    constexpr T  // constexpr since C++20
+    transform_reduce(InputIterator first, InputIterator last, T init,
+                     BinaryOperation binary_op, UnaryOperation unary_op);  // C++17
+
+template <class InputIterator, class OutputIterator>
+    constexpr OutputIterator  // constexpr since C++20
+    partial_sum(InputIterator first, InputIterator last, OutputIterator result);
+
+template <class InputIterator, class OutputIterator, class BinaryOperation>
+    constexpr OutputIterator  // constexpr since C++20
+    partial_sum(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);
+
+template<class InputIterator, class OutputIterator, class T>
+    constexpr OutputIterator  // constexpr since C++20
+    exclusive_scan(InputIterator first, InputIterator last,
+                   OutputIterator result, T init); // C++17
+
+template<class InputIterator, class OutputIterator, class T, class BinaryOperation>
+    constexpr OutputIterator  // constexpr since C++20
     exclusive_scan(InputIterator first, InputIterator last,
-                   OutputIterator result, T init, BinaryOperation binary_op); // C++17 
- 
-template<class InputIterator, class OutputIterator> 
-    constexpr OutputIterator  // constexpr since C++20 
-    inclusive_scan(InputIterator first, InputIterator last, OutputIterator result);  // C++17 
- 
-template<class InputIterator, class OutputIterator, class BinaryOperation> 
-    constexpr OutputIterator  // constexpr since C++20 
-    inclusive_scan(InputIterator first, InputIterator last, 
-                   OutputIterator result, BinaryOperation binary_op);  // C++17 
- 
-template<class InputIterator, class OutputIterator, class BinaryOperation, class T> 
-    constexpr OutputIterator  // constexpr since C++20 
-    inclusive_scan(InputIterator first, InputIterator last, 
-                   OutputIterator result, BinaryOperation binary_op, T init);  // C++17 
- 
-template<class InputIterator, class OutputIterator, class T, 
-         class BinaryOperation, class UnaryOperation> 
-    constexpr OutputIterator  // constexpr since C++20 
-    transform_exclusive_scan(InputIterator first, InputIterator last, 
-                             OutputIterator result, T init, 
-                             BinaryOperation binary_op, UnaryOperation unary_op);  // C++17 
- 
-template<class InputIterator, class OutputIterator, 
-         class BinaryOperation, class UnaryOperation> 
-    constexpr OutputIterator  // constexpr since C++20 
+                   OutputIterator result, T init, BinaryOperation binary_op); // C++17
+
+template<class InputIterator, class OutputIterator>
+    constexpr OutputIterator  // constexpr since C++20
+    inclusive_scan(InputIterator first, InputIterator last, OutputIterator result);  // C++17
+
+template<class InputIterator, class OutputIterator, class BinaryOperation>
+    constexpr OutputIterator  // constexpr since C++20
+    inclusive_scan(InputIterator first, InputIterator last,
+                   OutputIterator result, BinaryOperation binary_op);  // C++17
+
+template<class InputIterator, class OutputIterator, class BinaryOperation, class T>
+    constexpr OutputIterator  // constexpr since C++20
+    inclusive_scan(InputIterator first, InputIterator last,
+                   OutputIterator result, BinaryOperation binary_op, T init);  // C++17
+
+template<class InputIterator, class OutputIterator, class T,
+         class BinaryOperation, class UnaryOperation>
+    constexpr OutputIterator  // constexpr since C++20
+    transform_exclusive_scan(InputIterator first, InputIterator last,
+                             OutputIterator result, T init,
+                             BinaryOperation binary_op, UnaryOperation unary_op);  // C++17
+
+template<class InputIterator, class OutputIterator,
+         class BinaryOperation, class UnaryOperation>
+    constexpr OutputIterator  // constexpr since C++20
     transform_inclusive_scan(InputIterator first, InputIterator last,
-                             OutputIterator result, 
-                             BinaryOperation binary_op, UnaryOperation unary_op);  // C++17 
+                             OutputIterator result,
+                             BinaryOperation binary_op, UnaryOperation unary_op);  // C++17
 
-template<class InputIterator, class OutputIterator, 
-         class BinaryOperation, class UnaryOperation, class T> 
-    constexpr OutputIterator  // constexpr since C++20 
+template<class InputIterator, class OutputIterator,
+         class BinaryOperation, class UnaryOperation, class T>
+    constexpr OutputIterator  // constexpr since C++20
     transform_inclusive_scan(InputIterator first, InputIterator last,
-                             OutputIterator result, 
-                             BinaryOperation binary_op, UnaryOperation unary_op, 
-                             T init);  // C++17 
- 
-template <class InputIterator, class OutputIterator> 
-    constexpr OutputIterator  // constexpr since C++20 
-    adjacent_difference(InputIterator first, InputIterator last, OutputIterator result); 
- 
-template <class InputIterator, class OutputIterator, class BinaryOperation> 
-    constexpr OutputIterator  // constexpr since C++20 
-    adjacent_difference(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op); 
- 
-template <class ForwardIterator, class T> 
-    constexpr void  // constexpr since C++20 
-    iota(ForwardIterator first, ForwardIterator last, T value); 
- 
-template <class M, class N> 
-    constexpr common_type_t<M,N> gcd(M m, N n);    // C++17 
- 
-template <class M, class N> 
-    constexpr common_type_t<M,N> lcm(M m, N n);    // C++17 
- 
-template<class T> 
-    constexpr T midpoint(T a, T b) noexcept;  // C++20 
- 
-template<class T> 
-    constexpr T* midpoint(T* a, T* b);        // C++20 
- 
-}  // std 
- 
-*/ 
- 
-#include <__config> 
-#include <__debug> 
-#include <cmath> // for isnormal 
-#include <functional> 
-#include <iterator> 
-#include <limits> // for numeric_limits 
+                             OutputIterator result,
+                             BinaryOperation binary_op, UnaryOperation unary_op,
+                             T init);  // C++17
+
+template <class InputIterator, class OutputIterator>
+    constexpr OutputIterator  // constexpr since C++20
+    adjacent_difference(InputIterator first, InputIterator last, OutputIterator result);
+
+template <class InputIterator, class OutputIterator, class BinaryOperation>
+    constexpr OutputIterator  // constexpr since C++20
+    adjacent_difference(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);
+
+template <class ForwardIterator, class T>
+    constexpr void  // constexpr since C++20
+    iota(ForwardIterator first, ForwardIterator last, T value);
+
+template <class M, class N>
+    constexpr common_type_t<M,N> gcd(M m, N n);    // C++17
+
+template <class M, class N>
+    constexpr common_type_t<M,N> lcm(M m, N n);    // C++17
+
+template<class T>
+    constexpr T midpoint(T a, T b) noexcept;  // C++20
+
+template<class T>
+    constexpr T* midpoint(T* a, T* b);        // C++20
+
+}  // std
+
+*/
+
+#include <__config>
+#include <__debug>
+#include <cmath> // for isnormal
+#include <functional>
+#include <iterator>
+#include <limits> // for numeric_limits
 #include <version>
- 
-#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 
-#pragma GCC system_header 
-#endif 
- 
-_LIBCPP_PUSH_MACROS 
-#include <__undef_macros> 
- 
-_LIBCPP_BEGIN_NAMESPACE_STD 
- 
-template <class _InputIterator, class _Tp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-accumulate(_InputIterator __first, _InputIterator __last, _Tp __init) 
-{ 
-    for (; __first != __last; ++__first) 
-#if _LIBCPP_STD_VER > 17 
-        __init = _VSTD::move(__init) + *__first; 
-#else 
-        __init = __init + *__first; 
-#endif 
-    return __init; 
-} 
- 
-template <class _InputIterator, class _Tp, class _BinaryOperation> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOperation __binary_op) 
-{ 
-    for (; __first != __last; ++__first) 
-#if _LIBCPP_STD_VER > 17 
-        __init = __binary_op(_VSTD::move(__init), *__first); 
-#else 
-        __init = __binary_op(__init, *__first); 
-#endif 
-    return __init; 
-} 
- 
-#if _LIBCPP_STD_VER > 14 
-template <class _InputIterator, class _Tp, class _BinaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-reduce(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOp __b) 
-{ 
-    for (; __first != __last; ++__first) 
-        __init = __b(__init, *__first); 
-    return __init; 
-} 
- 
-template <class _InputIterator, class _Tp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-reduce(_InputIterator __first, _InputIterator __last, _Tp __init) 
-{ 
-    return _VSTD::reduce(__first, __last, __init, _VSTD::plus<>()); 
-} 
- 
-template <class _InputIterator> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-typename iterator_traits<_InputIterator>::value_type 
-reduce(_InputIterator __first, _InputIterator __last) 
-{ 
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#pragma GCC system_header
+#endif
+
+_LIBCPP_PUSH_MACROS
+#include <__undef_macros>
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+template <class _InputIterator, class _Tp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+accumulate(_InputIterator __first, _InputIterator __last, _Tp __init)
+{
+    for (; __first != __last; ++__first)
+#if _LIBCPP_STD_VER > 17
+        __init = _VSTD::move(__init) + *__first;
+#else
+        __init = __init + *__first;
+#endif
+    return __init;
+}
+
+template <class _InputIterator, class _Tp, class _BinaryOperation>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOperation __binary_op)
+{
+    for (; __first != __last; ++__first)
+#if _LIBCPP_STD_VER > 17
+        __init = __binary_op(_VSTD::move(__init), *__first);
+#else
+        __init = __binary_op(__init, *__first);
+#endif
+    return __init;
+}
+
+#if _LIBCPP_STD_VER > 14
+template <class _InputIterator, class _Tp, class _BinaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+reduce(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOp __b)
+{
+    for (; __first != __last; ++__first)
+        __init = __b(__init, *__first);
+    return __init;
+}
+
+template <class _InputIterator, class _Tp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+reduce(_InputIterator __first, _InputIterator __last, _Tp __init)
+{
+    return _VSTD::reduce(__first, __last, __init, _VSTD::plus<>());
+}
+
+template <class _InputIterator>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+typename iterator_traits<_InputIterator>::value_type
+reduce(_InputIterator __first, _InputIterator __last)
+{
     return _VSTD::reduce(__first, __last,
-       typename iterator_traits<_InputIterator>::value_type{}); 
-} 
-#endif 
- 
-template <class _InputIterator1, class _InputIterator2, class _Tp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-inner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init) 
-{ 
-    for (; __first1 != __last1; ++__first1, (void) ++__first2) 
-#if _LIBCPP_STD_VER > 17 
-        __init = _VSTD::move(__init) + *__first1 * *__first2; 
-#else 
-        __init = __init + *__first1 * *__first2; 
-#endif 
-    return __init; 
-} 
- 
-template <class _InputIterator1, class _InputIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-inner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, 
-              _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2) 
-{ 
-    for (; __first1 != __last1; ++__first1, (void) ++__first2) 
-#if _LIBCPP_STD_VER > 17 
-        __init = __binary_op1(_VSTD::move(__init), __binary_op2(*__first1, *__first2)); 
-#else 
-        __init = __binary_op1(__init, __binary_op2(*__first1, *__first2)); 
-#endif 
-    return __init; 
-} 
- 
-#if _LIBCPP_STD_VER > 14 
-template <class _InputIterator, class _Tp, class _BinaryOp, class _UnaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
+       typename iterator_traits<_InputIterator>::value_type{});
+}
+#endif
+
+template <class _InputIterator1, class _InputIterator2, class _Tp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+inner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init)
+{
+    for (; __first1 != __last1; ++__first1, (void) ++__first2)
+#if _LIBCPP_STD_VER > 17
+        __init = _VSTD::move(__init) + *__first1 * *__first2;
+#else
+        __init = __init + *__first1 * *__first2;
+#endif
+    return __init;
+}
+
+template <class _InputIterator1, class _InputIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+inner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2,
+              _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2)
+{
+    for (; __first1 != __last1; ++__first1, (void) ++__first2)
+#if _LIBCPP_STD_VER > 17
+        __init = __binary_op1(_VSTD::move(__init), __binary_op2(*__first1, *__first2));
+#else
+        __init = __binary_op1(__init, __binary_op2(*__first1, *__first2));
+#endif
+    return __init;
+}
+
+#if _LIBCPP_STD_VER > 14
+template <class _InputIterator, class _Tp, class _BinaryOp, class _UnaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
 transform_reduce(_InputIterator __first, _InputIterator __last,
-           _Tp __init,  _BinaryOp __b, _UnaryOp __u) 
-{ 
-    for (; __first != __last; ++__first) 
-        __init = __b(__init, __u(*__first)); 
-    return __init; 
-} 
- 
+           _Tp __init,  _BinaryOp __b, _UnaryOp __u)
+{
+    for (; __first != __last; ++__first)
+        __init = __b(__init, __u(*__first));
+    return __init;
+}
+
 template <class _InputIterator1, class _InputIterator2,
-          class _Tp, class _BinaryOp1, class _BinaryOp2> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
-transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1, 
-                 _InputIterator2 __first2, _Tp __init,  _BinaryOp1 __b1, _BinaryOp2 __b2) 
-{ 
-    for (; __first1 != __last1; ++__first1, (void) ++__first2) 
-        __init = __b1(__init, __b2(*__first1, *__first2)); 
-    return __init; 
-} 
- 
-template <class _InputIterator1, class _InputIterator2, class _Tp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_Tp 
+          class _Tp, class _BinaryOp1, class _BinaryOp2>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
+transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1,
+                 _InputIterator2 __first2, _Tp __init,  _BinaryOp1 __b1, _BinaryOp2 __b2)
+{
+    for (; __first1 != __last1; ++__first1, (void) ++__first2)
+        __init = __b1(__init, __b2(*__first1, *__first2));
+    return __init;
+}
+
+template <class _InputIterator1, class _InputIterator2, class _Tp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_Tp
 transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1,
-                 _InputIterator2 __first2, _Tp __init) 
-{ 
-    return _VSTD::transform_reduce(__first1, __last1, __first2, _VSTD::move(__init), 
-                                   _VSTD::plus<>(), _VSTD::multiplies<>()); 
-} 
-#endif 
- 
-template <class _InputIterator, class _OutputIterator> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
-partial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result) 
-{ 
-    if (__first != __last) 
-    { 
-        typename iterator_traits<_InputIterator>::value_type __t(*__first); 
-        *__result = __t; 
-        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) 
-        { 
-#if _LIBCPP_STD_VER > 17 
-            __t = _VSTD::move(__t) + *__first; 
-#else 
-            __t = __t + *__first; 
-#endif 
-            *__result = __t; 
-        } 
-    } 
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _BinaryOperation> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
-partial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result, 
-              _BinaryOperation __binary_op) 
-{ 
-    if (__first != __last) 
-    { 
-        typename iterator_traits<_InputIterator>::value_type __t(*__first); 
-        *__result = __t; 
-        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) 
-        { 
-#if _LIBCPP_STD_VER > 17 
-            __t = __binary_op(_VSTD::move(__t), *__first); 
-#else 
-            __t = __binary_op(__t, *__first); 
-#endif 
-            *__result = __t; 
-        } 
-    } 
-    return __result; 
-} 
- 
-#if _LIBCPP_STD_VER > 14 
-template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
+                 _InputIterator2 __first2, _Tp __init)
+{
+    return _VSTD::transform_reduce(__first1, __last1, __first2, _VSTD::move(__init),
+                                   _VSTD::plus<>(), _VSTD::multiplies<>());
+}
+#endif
+
+template <class _InputIterator, class _OutputIterator>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
+partial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
+{
+    if (__first != __last)
+    {
+        typename iterator_traits<_InputIterator>::value_type __t(*__first);
+        *__result = __t;
+        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
+        {
+#if _LIBCPP_STD_VER > 17
+            __t = _VSTD::move(__t) + *__first;
+#else
+            __t = __t + *__first;
+#endif
+            *__result = __t;
+        }
+    }
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator, class _BinaryOperation>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
+partial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result,
+              _BinaryOperation __binary_op)
+{
+    if (__first != __last)
+    {
+        typename iterator_traits<_InputIterator>::value_type __t(*__first);
+        *__result = __t;
+        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
+        {
+#if _LIBCPP_STD_VER > 17
+            __t = __binary_op(_VSTD::move(__t), *__first);
+#else
+            __t = __binary_op(__t, *__first);
+#endif
+            *__result = __t;
+        }
+    }
+    return __result;
+}
+
+#if _LIBCPP_STD_VER > 14
+template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
 exclusive_scan(_InputIterator __first, _InputIterator __last,
-               _OutputIterator __result, _Tp __init, _BinaryOp __b) 
-{ 
-    if (__first != __last) 
-    { 
-        _Tp __tmp(__b(__init, *__first)); 
-        while (true) 
-        { 
-            *__result = _VSTD::move(__init); 
-            ++__result; 
-            ++__first; 
-            if (__first == __last) 
-                break; 
-            __init = _VSTD::move(__tmp); 
-            __tmp = __b(__init, *__first); 
-        } 
-    } 
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _Tp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
+               _OutputIterator __result, _Tp __init, _BinaryOp __b)
+{
+    if (__first != __last)
+    {
+        _Tp __tmp(__b(__init, *__first));
+        while (true)
+        {
+            *__result = _VSTD::move(__init);
+            ++__result;
+            ++__first;
+            if (__first == __last)
+                break;
+            __init = _VSTD::move(__tmp);
+            __tmp = __b(__init, *__first);
+        }
+    }
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator, class _Tp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
 exclusive_scan(_InputIterator __first, _InputIterator __last,
-               _OutputIterator __result, _Tp __init) 
-{ 
-    return _VSTD::exclusive_scan(__first, __last, __result, __init, _VSTD::plus<>()); 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
+               _OutputIterator __result, _Tp __init)
+{
+    return _VSTD::exclusive_scan(__first, __last, __result, __init, _VSTD::plus<>());
+}
+
+template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
 _OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last,
-                               _OutputIterator __result, _BinaryOp __b,  _Tp __init) 
-{ 
-    for (; __first != __last; ++__first, (void) ++__result) { 
-        __init = __b(__init, *__first); 
-        *__result = __init; 
+                               _OutputIterator __result, _BinaryOp __b,  _Tp __init)
+{
+    for (; __first != __last; ++__first, (void) ++__result) {
+        __init = __b(__init, *__first);
+        *__result = __init;
     }
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _BinaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator, class _BinaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
 _OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last,
-                               _OutputIterator __result, _BinaryOp __b) 
-{ 
-    if (__first != __last) { 
-        typename iterator_traits<_InputIterator>::value_type __init = *__first; 
-        *__result++ = __init; 
-        if (++__first != __last) 
-            return _VSTD::inclusive_scan(__first, __last, __result, __b, __init); 
+                               _OutputIterator __result, _BinaryOp __b)
+{
+    if (__first != __last) {
+        typename iterator_traits<_InputIterator>::value_type __init = *__first;
+        *__result++ = __init;
+        if (++__first != __last)
+            return _VSTD::inclusive_scan(__first, __last, __result, __b, __init);
     }
- 
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
+
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
 _OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last,
-                               _OutputIterator __result) 
-{ 
-    return _VSTD::inclusive_scan(__first, __last, __result, _VSTD::plus<>()); 
-} 
- 
+                               _OutputIterator __result)
+{
+    return _VSTD::inclusive_scan(__first, __last, __result, _VSTD::plus<>());
+}
+
 template <class _InputIterator, class _OutputIterator, class _Tp,
-          class _BinaryOp, class _UnaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
+          class _BinaryOp, class _UnaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
 transform_exclusive_scan(_InputIterator __first, _InputIterator __last,
-                           _OutputIterator __result, _Tp __init, 
-                           _BinaryOp __b, _UnaryOp __u) 
-{ 
-    if (__first != __last) 
-    { 
-        _Tp __saved = __init; 
-        do 
-        { 
-            __init = __b(__init, __u(*__first)); 
-            *__result = __saved; 
-            __saved = __init; 
-            ++__result; 
-        } while (++__first != __last); 
-    } 
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp, class _UnaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
-transform_inclusive_scan(_InputIterator __first, _InputIterator __last, 
-                           _OutputIterator __result, _BinaryOp __b, _UnaryOp __u, _Tp __init) 
-{ 
-    for (; __first != __last; ++__first, (void) ++__result) { 
-        __init = __b(__init, __u(*__first)); 
-        *__result = __init; 
-        } 
- 
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _BinaryOp, class _UnaryOp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
-transform_inclusive_scan(_InputIterator __first, _InputIterator __last, 
-                               _OutputIterator __result, _BinaryOp __b, _UnaryOp __u) 
-{ 
-    if (__first != __last) { 
-        typename iterator_traits<_InputIterator>::value_type __init = __u(*__first); 
-        *__result++ = __init; 
-        if (++__first != __last) 
-            return _VSTD::transform_inclusive_scan(__first, __last, __result, __b, __u, __init); 
+                           _OutputIterator __result, _Tp __init,
+                           _BinaryOp __b, _UnaryOp __u)
+{
+    if (__first != __last)
+    {
+        _Tp __saved = __init;
+        do
+        {
+            __init = __b(__init, __u(*__first));
+            *__result = __saved;
+            __saved = __init;
+            ++__result;
+        } while (++__first != __last);
     }
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp, class _UnaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
+transform_inclusive_scan(_InputIterator __first, _InputIterator __last,
+                           _OutputIterator __result, _BinaryOp __b, _UnaryOp __u, _Tp __init)
+{
+    for (; __first != __last; ++__first, (void) ++__result) {
+        __init = __b(__init, __u(*__first));
+        *__result = __init;
+        }
+
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator, class _BinaryOp, class _UnaryOp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
+transform_inclusive_scan(_InputIterator __first, _InputIterator __last,
+                               _OutputIterator __result, _BinaryOp __b, _UnaryOp __u)
+{
+    if (__first != __last) {
+        typename iterator_traits<_InputIterator>::value_type __init = __u(*__first);
+        *__result++ = __init;
+        if (++__first != __last)
+            return _VSTD::transform_inclusive_scan(__first, __last, __result, __b, __u, __init);
+    }
+
+    return __result;
+}
+#endif
+
+template <class _InputIterator, class _OutputIterator>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
+adjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
+{
+    if (__first != __last)
+    {
+        typename iterator_traits<_InputIterator>::value_type __acc(*__first);
+        *__result = __acc;
+        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
+        {
+            typename iterator_traits<_InputIterator>::value_type __val(*__first);
+#if _LIBCPP_STD_VER > 17
+            *__result = __val - _VSTD::move(__acc);
+#else
+            *__result = __val - __acc;
+#endif
+            __acc = _VSTD::move(__val);
+        }
+    }
+    return __result;
+}
+
+template <class _InputIterator, class _OutputIterator, class _BinaryOperation>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+_OutputIterator
+adjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result,
+                      _BinaryOperation __binary_op)
+{
+    if (__first != __last)
+    {
+        typename iterator_traits<_InputIterator>::value_type __acc(*__first);
+        *__result = __acc;
+        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
+        {
+            typename iterator_traits<_InputIterator>::value_type __val(*__first);
+#if _LIBCPP_STD_VER > 17
+            *__result = __binary_op(__val, _VSTD::move(__acc));
+#else
+            *__result = __binary_op(__val, __acc);
+#endif
+            __acc = _VSTD::move(__val);
+        }
+    }
+    return __result;
+}
+
+template <class _ForwardIterator, class _Tp>
+_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+void
+iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value_)
+{
+    for (; __first != __last; ++__first, (void) ++__value_)
+        *__first = __value_;
+}
+
+
+#if _LIBCPP_STD_VER > 14
+template <typename _Result, typename _Source, bool _IsSigned = is_signed<_Source>::value> struct __ct_abs;
 
-    return __result; 
-} 
-#endif 
- 
-template <class _InputIterator, class _OutputIterator> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
-adjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result) 
-{ 
-    if (__first != __last) 
-    { 
-        typename iterator_traits<_InputIterator>::value_type __acc(*__first); 
-        *__result = __acc; 
-        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) 
-        { 
-            typename iterator_traits<_InputIterator>::value_type __val(*__first); 
-#if _LIBCPP_STD_VER > 17 
-            *__result = __val - _VSTD::move(__acc); 
-#else 
-            *__result = __val - __acc; 
-#endif 
-            __acc = _VSTD::move(__val); 
-        } 
-    } 
-    return __result; 
-} 
- 
-template <class _InputIterator, class _OutputIterator, class _BinaryOperation> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-_OutputIterator 
-adjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result, 
-                      _BinaryOperation __binary_op) 
-{ 
-    if (__first != __last) 
-    { 
-        typename iterator_traits<_InputIterator>::value_type __acc(*__first); 
-        *__result = __acc; 
-        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) 
-        { 
-            typename iterator_traits<_InputIterator>::value_type __val(*__first); 
-#if _LIBCPP_STD_VER > 17 
-            *__result = __binary_op(__val, _VSTD::move(__acc)); 
-#else 
-            *__result = __binary_op(__val, __acc); 
-#endif 
-            __acc = _VSTD::move(__val); 
-        } 
-    } 
-    return __result; 
-} 
- 
-template <class _ForwardIterator, class _Tp> 
-_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17 
-void 
-iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value_) 
-{ 
-    for (; __first != __last; ++__first, (void) ++__value_) 
-        *__first = __value_; 
-} 
- 
- 
-#if _LIBCPP_STD_VER > 14 
-template <typename _Result, typename _Source, bool _IsSigned = is_signed<_Source>::value> struct __ct_abs; 
- 
-template <typename _Result, typename _Source> 
-struct __ct_abs<_Result, _Source, true> { 
-    _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY 
-    _Result operator()(_Source __t) const noexcept 
-    { 
+template <typename _Result, typename _Source>
+struct __ct_abs<_Result, _Source, true> {
+    _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+    _Result operator()(_Source __t) const noexcept
+    {
         if (__t >= 0) return __t;
         if (__t == numeric_limits<_Source>::min()) return -static_cast<_Result>(__t);
         return -__t;
-    } 
-}; 
- 
-template <typename _Result, typename _Source> 
-struct __ct_abs<_Result, _Source, false> { 
-    _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY 
-    _Result operator()(_Source __t) const noexcept { return __t; } 
-}; 
- 
- 
-template<class _Tp> 
-_LIBCPP_CONSTEXPR _LIBCPP_HIDDEN 
-_Tp __gcd(_Tp __m, _Tp __n) 
-{ 
-    static_assert((!is_signed<_Tp>::value), ""); 
-    return __n == 0 ? __m : _VSTD::__gcd<_Tp>(__n, __m % __n); 
-} 
- 
- 
-template<class _Tp, class _Up> 
-_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY 
-common_type_t<_Tp,_Up> 
-gcd(_Tp __m, _Up __n) 
-{ 
-    static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to gcd must be integer types"); 
+    }
+};
+
+template <typename _Result, typename _Source>
+struct __ct_abs<_Result, _Source, false> {
+    _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+    _Result operator()(_Source __t) const noexcept { return __t; }
+};
+
+
+template<class _Tp>
+_LIBCPP_CONSTEXPR _LIBCPP_HIDDEN
+_Tp __gcd(_Tp __m, _Tp __n)
+{
+    static_assert((!is_signed<_Tp>::value), "");
+    return __n == 0 ? __m : _VSTD::__gcd<_Tp>(__n, __m % __n);
+}
+
+
+template<class _Tp, class _Up>
+_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+common_type_t<_Tp,_Up>
+gcd(_Tp __m, _Up __n)
+{
+    static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to gcd must be integer types");
     static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to gcd cannot be bool" );
     static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to gcd cannot be bool" );
-    using _Rp = common_type_t<_Tp,_Up>; 
-    using _Wp = make_unsigned_t<_Rp>; 
-    return static_cast<_Rp>(_VSTD::__gcd( 
-        static_cast<_Wp>(__ct_abs<_Rp, _Tp>()(__m)), 
-        static_cast<_Wp>(__ct_abs<_Rp, _Up>()(__n)))); 
-} 
- 
-template<class _Tp, class _Up> 
-_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY 
-common_type_t<_Tp,_Up> 
-lcm(_Tp __m, _Up __n) 
-{ 
-    static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to lcm must be integer types"); 
+    using _Rp = common_type_t<_Tp,_Up>;
+    using _Wp = make_unsigned_t<_Rp>;
+    return static_cast<_Rp>(_VSTD::__gcd(
+        static_cast<_Wp>(__ct_abs<_Rp, _Tp>()(__m)),
+        static_cast<_Wp>(__ct_abs<_Rp, _Up>()(__n))));
+}
+
+template<class _Tp, class _Up>
+_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+common_type_t<_Tp,_Up>
+lcm(_Tp __m, _Up __n)
+{
+    static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to lcm must be integer types");
     static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to lcm cannot be bool" );
     static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to lcm cannot be bool" );
-    if (__m == 0 || __n == 0) 
-        return 0; 
- 
-    using _Rp = common_type_t<_Tp,_Up>; 
-    _Rp __val1 = __ct_abs<_Rp, _Tp>()(__m) / _VSTD::gcd(__m, __n); 
-    _Rp __val2 = __ct_abs<_Rp, _Up>()(__n); 
-    _LIBCPP_ASSERT((numeric_limits<_Rp>::max() / __val1 > __val2), "Overflow in lcm"); 
-    return __val1 * __val2; 
-} 
- 
-#endif /* _LIBCPP_STD_VER > 14 */ 
- 
-#if _LIBCPP_STD_VER > 17 
-template <class _Tp> 
-_LIBCPP_INLINE_VISIBILITY constexpr 
-enable_if_t<is_integral_v<_Tp> && !is_same_v<bool, _Tp> && !is_null_pointer_v<_Tp>, _Tp> 
-midpoint(_Tp __a, _Tp __b) noexcept 
-_LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK 
-{ 
-    using _Up = make_unsigned_t<_Tp>; 
-    constexpr _Up __bitshift = numeric_limits<_Up>::digits - 1; 
- 
-    _Up __diff = _Up(__b) - _Up(__a); 
-    _Up __sign_bit = __b < __a; 
- 
-    _Up __half_diff = (__diff / 2) + (__sign_bit << __bitshift) + (__sign_bit & __diff); 
- 
-    return __a + __half_diff; 
-} 
- 
- 
-template <class _TPtr> 
-_LIBCPP_INLINE_VISIBILITY constexpr 
-enable_if_t<is_pointer_v<_TPtr> 
-             && is_object_v<remove_pointer_t<_TPtr>> 
-             && ! is_void_v<remove_pointer_t<_TPtr>> 
-             && (sizeof(remove_pointer_t<_TPtr>) > 0), _TPtr> 
-midpoint(_TPtr __a, _TPtr __b) noexcept 
-{ 
-    return __a + _VSTD::midpoint(ptrdiff_t(0), __b - __a); 
-} 
- 
- 
-template <typename _Tp> 
-constexpr int __sign(_Tp __val) { 
-    return (_Tp(0) < __val) - (__val < _Tp(0)); 
-} 
- 
-template <typename _Fp> 
-constexpr _Fp __fp_abs(_Fp __f) { return __f >= 0 ? __f : -__f; } 
- 
-template <class _Fp> 
-_LIBCPP_INLINE_VISIBILITY constexpr 
-enable_if_t<is_floating_point_v<_Fp>, _Fp> 
-midpoint(_Fp __a, _Fp __b) noexcept 
-{ 
+    if (__m == 0 || __n == 0)
+        return 0;
+
+    using _Rp = common_type_t<_Tp,_Up>;
+    _Rp __val1 = __ct_abs<_Rp, _Tp>()(__m) / _VSTD::gcd(__m, __n);
+    _Rp __val2 = __ct_abs<_Rp, _Up>()(__n);
+    _LIBCPP_ASSERT((numeric_limits<_Rp>::max() / __val1 > __val2), "Overflow in lcm");
+    return __val1 * __val2;
+}
+
+#endif /* _LIBCPP_STD_VER > 14 */
+
+#if _LIBCPP_STD_VER > 17
+template <class _Tp>
+_LIBCPP_INLINE_VISIBILITY constexpr
+enable_if_t<is_integral_v<_Tp> && !is_same_v<bool, _Tp> && !is_null_pointer_v<_Tp>, _Tp>
+midpoint(_Tp __a, _Tp __b) noexcept
+_LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK
+{
+    using _Up = make_unsigned_t<_Tp>;
+    constexpr _Up __bitshift = numeric_limits<_Up>::digits - 1;
+
+    _Up __diff = _Up(__b) - _Up(__a);
+    _Up __sign_bit = __b < __a;
+
+    _Up __half_diff = (__diff / 2) + (__sign_bit << __bitshift) + (__sign_bit & __diff);
+
+    return __a + __half_diff;
+}
+
+
+template <class _TPtr>
+_LIBCPP_INLINE_VISIBILITY constexpr
+enable_if_t<is_pointer_v<_TPtr>
+             && is_object_v<remove_pointer_t<_TPtr>>
+             && ! is_void_v<remove_pointer_t<_TPtr>>
+             && (sizeof(remove_pointer_t<_TPtr>) > 0), _TPtr>
+midpoint(_TPtr __a, _TPtr __b) noexcept
+{
+    return __a + _VSTD::midpoint(ptrdiff_t(0), __b - __a);
+}
+
+
+template <typename _Tp>
+constexpr int __sign(_Tp __val) {
+    return (_Tp(0) < __val) - (__val < _Tp(0));
+}
+
+template <typename _Fp>
+constexpr _Fp __fp_abs(_Fp __f) { return __f >= 0 ? __f : -__f; }
+
+template <class _Fp>
+_LIBCPP_INLINE_VISIBILITY constexpr
+enable_if_t<is_floating_point_v<_Fp>, _Fp>
+midpoint(_Fp __a, _Fp __b) noexcept
+{
 	constexpr _Fp __lo = numeric_limits<_Fp>::min()*2;
 	constexpr _Fp __hi = numeric_limits<_Fp>::max()/2;
-    return __fp_abs(__a) <= __hi && __fp_abs(__b) <= __hi ?  // typical case: overflow is impossible 
-      (__a + __b)/2 :                                        // always correctly rounded 
-      __fp_abs(__a) < __lo ? __a + __b/2 :                   // not safe to halve a 
-      __fp_abs(__b) < __lo ? __a/2 + __b :                   // not safe to halve b 
-      __a/2 + __b/2;                                         // otherwise correctly rounded 
-} 
- 
-#endif // _LIBCPP_STD_VER > 17 
- 
-_LIBCPP_END_NAMESPACE_STD 
- 
-_LIBCPP_POP_MACROS 
- 
-#if defined(_LIBCPP_HAS_PARALLEL_ALGORITHMS) && _LIBCPP_STD_VER >= 17 
-//#   include <__pstl_numeric> 
-#endif 
- 
-#endif // _LIBCPP_NUMERIC 
+    return __fp_abs(__a) <= __hi && __fp_abs(__b) <= __hi ?  // typical case: overflow is impossible
+      (__a + __b)/2 :                                        // always correctly rounded
+      __fp_abs(__a) < __lo ? __a + __b/2 :                   // not safe to halve a
+      __fp_abs(__b) < __lo ? __a/2 + __b :                   // not safe to halve b
+      __a/2 + __b/2;                                         // otherwise correctly rounded
+}
+
+#endif // _LIBCPP_STD_VER > 17
+
+_LIBCPP_END_NAMESPACE_STD
+
+_LIBCPP_POP_MACROS
+
+#if defined(_LIBCPP_HAS_PARALLEL_ALGORITHMS) && _LIBCPP_STD_VER >= 17
+//#   include <__pstl_numeric>
+#endif
+
+#endif // _LIBCPP_NUMERIC