diff --git a/docs/Cxx2aStatusIssuesStatus.csv b/docs/Cxx2aStatusIssuesStatus.csv
index 859c52a..d2adde6 100644
--- a/docs/Cxx2aStatusIssuesStatus.csv
+++ b/docs/Cxx2aStatusIssuesStatus.csv
@@ -176,7 +176,7 @@
 "`3244 <https://wg21.link/LWG3244>`__","Constraints for ``Source``\  in |sect|\ [fs.path.req] insufficiently constrainty","Belfast","",""
 "`3241 <https://wg21.link/LWG3241>`__","``chrono-spec``\  grammar ambiguity in |sect|\ [time.format]","Belfast","",""
 "`3257 <https://wg21.link/LWG3257>`__","Missing feature testing macro update from P0858","Belfast","",""
-"`3256 <https://wg21.link/LWG3256>`__","Feature testing macro for ``constexpr``\  algorithms","Belfast","",""
+"`3256 <https://wg21.link/LWG3256>`__","Feature testing macro for ``constexpr``\  algorithms","Belfast","|Complete|","13.0"
 "`3273 <https://wg21.link/LWG3273>`__","Specify ``weekday_indexed``\  to range of ``[0, 7]``\ ","Belfast","",""
 "`3070 <https://wg21.link/LWG3070>`__","``path::lexically_relative``\  causes surprising results if a filename can also be a  *root-name*","Belfast","",""
 "`3266 <https://wg21.link/LWG3266>`__","``to_chars(bool)``\  should be deleted","Belfast","",""
diff --git a/docs/Cxx2aStatusPaperStatus.csv b/docs/Cxx2aStatusPaperStatus.csv
index b3b60d2..d3819a8 100644
--- a/docs/Cxx2aStatusPaperStatus.csv
+++ b/docs/Cxx2aStatusPaperStatus.csv
@@ -40,7 +40,7 @@
 "`P0759R1 <https://wg21.link/P0759R1>`__","LWG","fpos Requirements","Rapperswil","|Complete|","11.0"
 "`P0769R2 <https://wg21.link/P0769R2>`__","LWG","Add shift to <algorithm>","Rapperswil","|Complete|","12.0"
 "`P0788R3 <https://wg21.link/P0788R3>`__","LWG","Standard Library Specification in a Concepts and Contracts World","Rapperswil","*Removed in Cologne*","n/a"
-"`P0879R0 <https://wg21.link/P0879R0>`__","LWG","Constexpr for swap and swap related functions Also resolves LWG issue 2800.","Rapperswil","",""
+"`P0879R0 <https://wg21.link/P0879R0>`__","LWG","Constexpr for swap and swap related functions Also resolves LWG issue 2800.","Rapperswil","|Complete|","13.0"
 "`P0887R1 <https://wg21.link/P0887R1>`__","LWG","The identity metafunction","Rapperswil","|Complete|","8.0"
 "`P0892R2 <https://wg21.link/P0892R2>`__","CWG","explicit(bool)","Rapperswil","",""
 "`P0898R3 <https://wg21.link/P0898R3>`__","LWG","Standard Library Concepts","Rapperswil","|In Progress|",""
diff --git a/docs/FeatureTestMacroTable.rst b/docs/FeatureTestMacroTable.rst
index 5fe7005..7028ff0 100644
--- a/docs/FeatureTestMacroTable.rst
+++ b/docs/FeatureTestMacroTable.rst
@@ -200,7 +200,7 @@
     ------------------------------------------------- -----------------
     ``__cpp_lib_concepts``                            *unimplemented*
     ------------------------------------------------- -----------------
-    ``__cpp_lib_constexpr_algorithms``                *unimplemented*
+    ``__cpp_lib_constexpr_algorithms``                ``201806L``
     ------------------------------------------------- -----------------
     ``__cpp_lib_constexpr_complex``                   *unimplemented*
     ------------------------------------------------- -----------------
diff --git a/include/algorithm b/include/algorithm
index d8fbac7..7220585 100644
--- a/include/algorithm
+++ b/include/algorithm
@@ -351,11 +351,11 @@
     is_sorted_until(ForwardIterator first, ForwardIterator last, Compare comp);
 
 template <class RandomAccessIterator>
-    void
+    constexpr void               // constexpr in C++20
     sort(RandomAccessIterator first, RandomAccessIterator last);
 
 template <class RandomAccessIterator, class Compare>
-    void
+    constexpr void               // constexpr in C++20
     sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
 
 template <class RandomAccessIterator>
@@ -4047,7 +4047,6 @@
 void
 __sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
 {
-    // _Compare is known to be a reference type
     typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
     typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
     const difference_type __limit = is_trivially_copy_constructible<value_type>::value &&
@@ -4236,47 +4235,13 @@
     }
 }
 
-// This forwarder keeps the top call and the recursive calls using the same instantiation, forcing a reference _Compare
-template <class _RandomAccessIterator, class _Compare>
+template <class _Compare, class _Tp>
 inline _LIBCPP_INLINE_VISIBILITY
 void
-sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
+__sort(_Tp** __first, _Tp** __last, __less<_Tp*>&)
 {
-    typedef typename __comp_ref_type<_Compare>::type _Comp_ref;
-    _VSTD::__sort<_Comp_ref>(__first, __last, _Comp_ref(__comp));
-}
-
-template <class _RandomAccessIterator>
-inline _LIBCPP_INLINE_VISIBILITY
-void
-sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
-{
-    _VSTD::sort(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-void
-sort(_Tp** __first, _Tp** __last)
-{
-    _VSTD::sort((uintptr_t*)__first, (uintptr_t*)__last, __less<uintptr_t>());
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-void
-sort(__wrap_iter<_Tp*> __first, __wrap_iter<_Tp*> __last)
-{
-    _VSTD::sort(__first.base(), __last.base());
-}
-
-template <class _Tp, class _Compare>
-inline _LIBCPP_INLINE_VISIBILITY
-void
-sort(__wrap_iter<_Tp*> __first, __wrap_iter<_Tp*> __last, _Compare __comp)
-{
-    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
-    _VSTD::sort<_Tp*, _Comp_ref>(__first.base(), __last.base(), __comp);
+    __less<uintptr_t> __comp;
+    _VSTD::__sort<__less<uintptr_t>&, uintptr_t*>((uintptr_t*)__first, (uintptr_t*)__last, __comp);
 }
 
 _LIBCPP_EXTERN_TEMPLATE(_LIBCPP_FUNC_VIS void __sort<__less<char>&, char*>(char*, char*, __less<char>&))
@@ -5478,6 +5443,29 @@
     _VSTD::nth_element(__first, __nth, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
 }
 
+// sort
+
+template <class _RandomAccessIterator, class _Compare>
+inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+void
+sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
+{
+    typedef typename __comp_ref_type<_Compare>::type _Comp_ref;
+    if (__libcpp_is_constant_evaluated()) {
+        _VSTD::__partial_sort<_Comp_ref>(__first, __last, __last, _Comp_ref(__comp));
+    } else {
+        _VSTD::__sort<_Comp_ref>(_VSTD::__unwrap_iter(__first), _VSTD::__unwrap_iter(__last), _Comp_ref(__comp));
+    }
+}
+
+template <class _RandomAccessIterator>
+inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+void
+sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
+{
+    _VSTD::sort(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
+}
+
 // includes
 
 template <class _Compare, class _InputIterator1, class _InputIterator2>
diff --git a/include/version b/include/version
index 77183e5..9b37c30 100644
--- a/include/version
+++ b/include/version
@@ -294,7 +294,7 @@
 #   define __cpp_lib_char8_t                            201811L
 # endif
 // # define __cpp_lib_concepts                             202002L
-// # define __cpp_lib_constexpr_algorithms                 201806L
+# define __cpp_lib_constexpr_algorithms                 201806L
 // # define __cpp_lib_constexpr_complex                    201711L
 # define __cpp_lib_constexpr_dynamic_alloc              201907L
 # define __cpp_lib_constexpr_functional                 201907L
diff --git a/test/std/algorithms/alg.sorting/alg.sort/sort/sort_constexpr.pass.cpp b/test/std/algorithms/alg.sorting/alg.sort/sort/sort_constexpr.pass.cpp
new file mode 100644
index 0000000..41ea82c
--- /dev/null
+++ b/test/std/algorithms/alg.sorting/alg.sort/sort/sort_constexpr.pass.cpp
@@ -0,0 +1,101 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+// <algorithm>
+
+// template<RandomAccessIterator Iter>
+//   requires ShuffleIterator<Iter>
+//         && LessThanComparable<Iter::value_type>
+//   void
+//   sort(Iter first, Iter last);
+
+#include <algorithm>
+#include <cassert>
+
+#include "test_macros.h"
+#include "test_iterators.h"
+#include "MoveOnly.h"
+
+template<int N, class T, class Iter>
+TEST_CONSTEXPR_CXX20 bool test()
+{
+    int orig[N] = {};
+    unsigned x = 1;
+    for (int i=0; i < N; ++i) {
+        x = (x * 1664525) + 1013904223;
+        orig[i] = x % 1000;
+    }
+    T work[N] = {};
+    std::copy(orig, orig+N, work);
+    std::sort(Iter(work), Iter(work+N));
+    assert(std::is_sorted(work, work+N));
+    assert(std::is_permutation(work, work+N, orig));
+
+    return true;
+}
+
+template<int N, class T, class Iter>
+TEST_CONSTEXPR_CXX20 bool test_pointers()
+{
+    T data[N] = {};
+    T *orig[N] = {};
+    unsigned x = 1;
+    for (int i=0; i < N; ++i) {
+        orig[i] = &data[x % 258];
+    }
+    T *work[N] = {};
+    std::copy(orig, orig+N, work);
+    std::sort(Iter(work), Iter(work+N));
+    assert(std::is_sorted(work, work+N));
+    assert(std::is_permutation(work, work+N, orig));
+
+    return true;
+}
+
+int main(int, char**)
+{
+    test<7, int, int*>();
+    test<7, int, random_access_iterator<int*> >();
+    test<257, int, int*>();
+    test<257, int, random_access_iterator<int*> >();
+
+#if TEST_STD_VER >= 11
+    test<7, MoveOnly, MoveOnly*>();
+    test<7, MoveOnly, random_access_iterator<MoveOnly*> >();
+    test<257, MoveOnly, MoveOnly*>();
+    test<257, MoveOnly, random_access_iterator<MoveOnly*> >();
+#endif
+
+    test_pointers<17, char, char**>();
+    test_pointers<17, char, random_access_iterator<char**> >();
+    test_pointers<17, const char, const char**>();
+    test_pointers<17, const char, random_access_iterator<const char**> >();
+    test_pointers<17, int, int**>();
+    test_pointers<17, int, random_access_iterator<int**> >();
+
+#if TEST_STD_VER >= 20
+    static_assert(test<7, int, int*>());
+    static_assert(test<7, int, random_access_iterator<int*>>());
+    static_assert(test<257, int, int*>());
+    static_assert(test<257, int, random_access_iterator<int*>>());
+
+    static_assert(test<7, MoveOnly, MoveOnly*>());
+    static_assert(test<7, MoveOnly, random_access_iterator<MoveOnly*>>());
+    static_assert(test<257, MoveOnly, MoveOnly*>());
+    static_assert(test<257, MoveOnly, random_access_iterator<MoveOnly*>>());
+
+    static_assert(test_pointers<17, char, char**>());
+    static_assert(test_pointers<17, char, random_access_iterator<char**>>());
+    static_assert(test_pointers<17, const char, const char**>());
+    static_assert(test_pointers<17, const char, random_access_iterator<const char**>>());
+    static_assert(test_pointers<17, int, int**>());
+    static_assert(test_pointers<17, int, random_access_iterator<int**>>());
+#endif
+
+    return 0;
+}
diff --git a/test/std/algorithms/alg.sorting/alg.sort/sort/sort_constexpr_comp.pass.cpp b/test/std/algorithms/alg.sorting/alg.sort/sort/sort_constexpr_comp.pass.cpp
new file mode 100644
index 0000000..48f057a
--- /dev/null
+++ b/test/std/algorithms/alg.sorting/alg.sort/sort/sort_constexpr_comp.pass.cpp
@@ -0,0 +1,102 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+// <algorithm>
+
+// template<RandomAccessIterator Iter, StrictWeakOrder<auto, Iter::value_type> Compare>
+//   requires ShuffleIterator<Iter>
+//         && CopyConstructible<Compare>
+//   void
+//   sort(Iter first, Iter last, Compare comp);
+
+#include <algorithm>
+#include <cassert>
+#include <functional>
+
+#include "test_macros.h"
+#include "test_iterators.h"
+#include "MoveOnly.h"
+
+template<int N, class T, class Iter>
+TEST_CONSTEXPR_CXX20 bool test()
+{
+    int orig[N] = {};
+    unsigned x = 1;
+    for (int i=0; i < N; ++i) {
+        x = (x * 1664525) + 1013904223;
+        orig[i] = x % 1000;
+    }
+    T work[N] = {};
+    std::copy(orig, orig+N, work);
+    std::sort(Iter(work), Iter(work+N), std::greater<T>());
+    assert(std::is_sorted(work, work+N, std::greater<T>()));
+    assert(std::is_permutation(work, work+N, orig));
+
+    return true;
+}
+
+template<int N, class T, class Iter>
+TEST_CONSTEXPR_CXX20 bool test_pointers()
+{
+    T data[N] = {};
+    T *orig[N] = {};
+    unsigned x = 1;
+    for (int i=0; i < N; ++i) {
+        orig[i] = &data[x % 258];
+    }
+    T *work[N] = {};
+    std::copy(orig, orig+N, work);
+    std::sort(Iter(work), Iter(work+N), std::greater<T*>());
+    assert(std::is_sorted(work, work+N, std::greater<T*>()));
+    assert(std::is_permutation(work, work+N, orig));
+
+    return true;
+}
+
+int main(int, char**)
+{
+    test<7, int, int*>();
+    test<7, int, random_access_iterator<int*> >();
+    test<257, int, int*>();
+    test<257, int, random_access_iterator<int*> >();
+
+#if TEST_STD_VER >= 11
+    test<7, MoveOnly, MoveOnly*>();
+    test<7, MoveOnly, random_access_iterator<MoveOnly*> >();
+    test<257, MoveOnly, MoveOnly*>();
+    test<257, MoveOnly, random_access_iterator<MoveOnly*> >();
+#endif
+
+    test_pointers<17, char, char**>();
+    test_pointers<17, char, random_access_iterator<char**> >();
+    test_pointers<17, const char, const char**>();
+    test_pointers<17, const char, random_access_iterator<const char**> >();
+    test_pointers<17, int, int**>();
+    test_pointers<17, int, random_access_iterator<int**> >();
+
+#if TEST_STD_VER >= 20
+    static_assert(test<7, int, int*>());
+    static_assert(test<7, int, random_access_iterator<int*>>());
+    static_assert(test<257, int, int*>());
+    static_assert(test<257, int, random_access_iterator<int*>>());
+
+    static_assert(test<7, MoveOnly, MoveOnly*>());
+    static_assert(test<7, MoveOnly, random_access_iterator<MoveOnly*>>());
+    static_assert(test<257, MoveOnly, MoveOnly*>());
+    static_assert(test<257, MoveOnly, random_access_iterator<MoveOnly*>>());
+
+    static_assert(test_pointers<17, char, char**>());
+    static_assert(test_pointers<17, char, random_access_iterator<char**>>());
+    static_assert(test_pointers<17, const char, const char**>());
+    static_assert(test_pointers<17, const char, random_access_iterator<const char**>>());
+    static_assert(test_pointers<17, int, int**>());
+    static_assert(test_pointers<17, int, random_access_iterator<int**>>());
+#endif
+
+    return 0;
+}
diff --git a/test/std/language.support/support.limits/support.limits.general/algorithm.version.pass.cpp b/test/std/language.support/support.limits/support.limits.general/algorithm.version.pass.cpp
index e081ca7..eb75915 100644
--- a/test/std/language.support/support.limits/support.limits.general/algorithm.version.pass.cpp
+++ b/test/std/language.support/support.limits/support.limits.general/algorithm.version.pass.cpp
@@ -148,17 +148,11 @@
 #   error "__cpp_lib_clamp should have the value 201603L in c++20"
 # endif
 
-# if !defined(_LIBCPP_VERSION)
-#   ifndef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should be defined in c++20"
-#   endif
-#   if __cpp_lib_constexpr_algorithms != 201806L
-#     error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++20"
-#   endif
-# else // _LIBCPP_VERSION
-#   ifdef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should not be defined because it is unimplemented in libc++!"
-#   endif
+# ifndef __cpp_lib_constexpr_algorithms
+#   error "__cpp_lib_constexpr_algorithms should be defined in c++20"
+# endif
+# if __cpp_lib_constexpr_algorithms != 201806L
+#   error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++20"
 # endif
 
 # if !defined(_LIBCPP_VERSION)
@@ -217,17 +211,11 @@
 #   error "__cpp_lib_clamp should have the value 201603L in c++2b"
 # endif
 
-# if !defined(_LIBCPP_VERSION)
-#   ifndef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should be defined in c++2b"
-#   endif
-#   if __cpp_lib_constexpr_algorithms != 201806L
-#     error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++2b"
-#   endif
-# else // _LIBCPP_VERSION
-#   ifdef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should not be defined because it is unimplemented in libc++!"
-#   endif
+# ifndef __cpp_lib_constexpr_algorithms
+#   error "__cpp_lib_constexpr_algorithms should be defined in c++2b"
+# endif
+# if __cpp_lib_constexpr_algorithms != 201806L
+#   error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++2b"
 # endif
 
 # if !defined(_LIBCPP_VERSION)
diff --git a/test/std/language.support/support.limits/support.limits.general/version.version.pass.cpp b/test/std/language.support/support.limits/support.limits.general/version.version.pass.cpp
index 2fe0dfc..1bb4928 100644
--- a/test/std/language.support/support.limits/support.limits.general/version.version.pass.cpp
+++ b/test/std/language.support/support.limits/support.limits.general/version.version.pass.cpp
@@ -2389,17 +2389,11 @@
 #   endif
 # endif
 
-# if !defined(_LIBCPP_VERSION)
-#   ifndef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should be defined in c++20"
-#   endif
-#   if __cpp_lib_constexpr_algorithms != 201806L
-#     error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++20"
-#   endif
-# else // _LIBCPP_VERSION
-#   ifdef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should not be defined because it is unimplemented in libc++!"
-#   endif
+# ifndef __cpp_lib_constexpr_algorithms
+#   error "__cpp_lib_constexpr_algorithms should be defined in c++20"
+# endif
+# if __cpp_lib_constexpr_algorithms != 201806L
+#   error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++20"
 # endif
 
 # if !defined(_LIBCPP_VERSION)
@@ -3608,17 +3602,11 @@
 #   endif
 # endif
 
-# if !defined(_LIBCPP_VERSION)
-#   ifndef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should be defined in c++2b"
-#   endif
-#   if __cpp_lib_constexpr_algorithms != 201806L
-#     error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++2b"
-#   endif
-# else // _LIBCPP_VERSION
-#   ifdef __cpp_lib_constexpr_algorithms
-#     error "__cpp_lib_constexpr_algorithms should not be defined because it is unimplemented in libc++!"
-#   endif
+# ifndef __cpp_lib_constexpr_algorithms
+#   error "__cpp_lib_constexpr_algorithms should be defined in c++2b"
+# endif
+# if __cpp_lib_constexpr_algorithms != 201806L
+#   error "__cpp_lib_constexpr_algorithms should have the value 201806L in c++2b"
 # endif
 
 # if !defined(_LIBCPP_VERSION)
diff --git a/utils/generate_feature_test_macro_components.py b/utils/generate_feature_test_macro_components.py
index 6abc132..5537d9b 100755
--- a/utils/generate_feature_test_macro_components.py
+++ b/utils/generate_feature_test_macro_components.py
@@ -182,7 +182,6 @@
     "name": "__cpp_lib_constexpr_algorithms",
     "values": { "c++20": 201806 },
     "headers": ["algorithm"],
-    "unimplemented": True,
   }, {
     "name": "__cpp_lib_constexpr_complex",
     "values": { "c++20": 201711 },