[libc++][ranges] implement `std::ranges::inplace_merge`

Differential Revision: https://reviews.llvm.org/D130627

NOKEYCHECK=True
GitOrigin-RevId: 8a61749f767e9af773051fc4f6dc99276fe189e3
diff --git a/include/algorithm b/include/algorithm
index 197b3b1..4fc353a 100644
--- a/include/algorithm
+++ b/include/algorithm
@@ -803,7 +803,7 @@
       set_symmetric_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                                Comp comp = {}, Proj1 proj1 = {},
                                Proj2 proj2 = {});                                                   // since C++20
-  
+
   template<input_range R1, input_range R2, weakly_incrementable O,
            class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
     requires mergeable<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
@@ -816,13 +816,13 @@
            indirect_strict_weak_order<const T*, projected<I, Proj>> Comp = ranges::less>
     constexpr subrange<I>
       equal_range(I first, S last, const T& value, Comp comp = {}, Proj proj = {});                 // since C++20
-  
+
   template<forward_range R, class T, class Proj = identity,
            indirect_strict_weak_order<const T*, projected<iterator_t<R>, Proj>> Comp =
              ranges::less>
     constexpr borrowed_subrange_t<R>
       equal_range(R&& r, const T& value, Comp comp = {}, Proj proj = {});                           // since C++20
-  
+
   template<class I1, class I2, class O>
     using set_union_result = in_in_out_result<I1, I2, O>;                                           // since C++20
 
@@ -847,13 +847,24 @@
              ranges::less>
     constexpr bool includes(I1 first1, S1 last1, I2 first2, S2 last2, Comp comp = {},
                             Proj1 proj1 = {}, Proj2 proj2 = {});                                   // Since C++20
-  
+
   template<input_range R1, input_range R2, class Proj1 = identity,
            class Proj2 = identity,
            indirect_strict_weak_order<projected<iterator_t<R1>, Proj1>,
                                       projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
     constexpr bool includes(R1&& r1, R2&& r2, Comp comp = {},
                             Proj1 proj1 = {}, Proj2 proj2 = {});                                   // Since C++20
+
+  template<bidirectional_iterator I, sentinel_for<I> S, class Comp = ranges::less,
+           class Proj = identity>
+    requires sortable<I, Comp, Proj>
+    I inplace_merge(I first, I middle, S last, Comp comp = {}, Proj proj = {});                    // Since C++20
+
+  template<bidirectional_range R, class Comp = ranges::less, class Proj = identity>
+    requires sortable<iterator_t<R>, Comp, Proj>
+    borrowed_iterator_t<R>
+      inplace_merge(R&& r, iterator_t<R> middle, Comp comp = {},
+                    Proj proj = {});                                                               // Since C++20
 }
 
     constexpr bool     // constexpr in C++20
@@ -1607,6 +1618,7 @@
 #include <__algorithm/ranges_generate.h>
 #include <__algorithm/ranges_generate_n.h>
 #include <__algorithm/ranges_includes.h>
+#include <__algorithm/ranges_inplace_merge.h>
 #include <__algorithm/ranges_is_heap.h>
 #include <__algorithm/ranges_is_heap_until.h>
 #include <__algorithm/ranges_is_partitioned.h>