Changes in v5:
 - Rename __ask -> __bytes in __new_allocator<>::allocate_at_least.
 - Guard __new_allocator<>::allocate_at_least body vs. __cpp_aligned_new.
 - Make new test pass when __cpp_aligned_new is not defined.
 - Make new test pass when __cpp_sized_deallocation is not defined
 - Include stdlib.h in test, to get malloc and free.
 - Omit unused parameter name in defn of op delete(p, n).

Changes in v4:
 - Simplify calculation.
 - Drop __builtin_unreachable(), as compiler seems unable to use it.
 - Distinguish objects of size 8 or more, where __bonus can be only
  0 or 1, as compilers do not notice.
 - Test more thoroughly.

Changes in v3:
 - Calculate extra allocations with no attempt to force 8-bit
  division, which pessimized everything except x86.
 - Add test to verify allocate_at_least change.
 - Also fix vector insert_vs_emplace.cc as run built with -m32.

(Please ignore v2.)

allocate_at_least is rounding up the allocation request size to
its default alignment, which may be more than an integral
multiple of the object size requested. When the memory is freed,
what the container reports it is freeing differs from the amount
that was allocated. This patch rounds the request size back down
to what will be reported to the caller.

The algorithm to compute the allocation is altered in response
to findings on godbolt.org, which indicate dropping to uint8 to
perform the division is a pessimization everywhere other than
x86. The new version is implemented with multiplication,
instead.

In addition, the remaining -m32 test that failed under the new
allocation method is fixed.

Tested on x86 -m64/-m32.

libstdc++-v3/ChangeLog:
        * include/bits/new_allocator.h (allocate_at_least): Reduce
        allocation to match what is reported.
        * testsuite/20_util/allocator/allocate_at_least2.cc: Add tests.
        * testsuite/23_containers/vector/modifiers/insert_vs_emplace.cc:
        Fix for -m32 and new allocation results.
---
 libstdc++-v3/include/bits/new_allocator.h     | 30 ++++++---
 .../20_util/allocator/allocate_at_least2.cc   | 66 +++++++++++++++++++
 .../vector/modifiers/insert_vs_emplace.cc     | 48 +++++++++-----
 3 files changed, 116 insertions(+), 28 deletions(-)
 create mode 100644 
libstdc++-v3/testsuite/20_util/allocator/allocate_at_least2.cc

diff --git a/libstdc++-v3/include/bits/new_allocator.h 
b/libstdc++-v3/include/bits/new_allocator.h
index 4524355a4a0..e7666b5831c 100644
--- a/libstdc++-v3/include/bits/new_allocator.h
+++ b/libstdc++-v3/include/bits/new_allocator.h
@@ -177,6 +177,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
       [[nodiscard]] constexpr std::allocation_result<_Tp*, size_t>
       allocate_at_least(size_t __n)
       {
+#if __cpp_aligned_new
        if ! consteval
          {
            if constexpr (requires { sizeof(_Tp); })
@@ -184,19 +185,28 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
            if constexpr ( sizeof(_Tp) <  __STDCPP_DEFAULT_NEW_ALIGNMENT__)
              {
                _S_check_allocation_limit(__n);
-               const size_t __need = __n * sizeof(_Tp);
+               size_t __bytes = __n * sizeof(_Tp);
                const size_t __mask = __STDCPP_DEFAULT_NEW_ALIGNMENT__ - 1;
-               size_t __ask = (__need + __mask) & ~__mask;
-               // Avoid rounding up to and asking for 2^63 bytes (PR108377):
-               __ask -= __ask >> (__SIZE_WIDTH__ - 1);
-               auto* __p = static_cast<_Tp*>(_GLIBCXX_OPERATOR_NEW(__ask));
-               using _U8 = const unsigned char;
-               static_assert(sizeof(_Tp) <= ~_U8());
-               // Use 8-bit division for minimal latency:
-               _U8 __spare = __ask - __need, __size = sizeof(_Tp);
-               return { __p , __n + __spare / __size };
+               size_t __max = (__bytes + __mask) & ~__mask;
+               // Avoid seeming to ask for 2^63 bytes (PR108377):
+               __max -= __max >> (__SIZE_WIDTH__ - 1);
+               auto __spare = static_cast<unsigned>(__max - __bytes);
+               if constexpr (sizeof(_Tp) < (__mask + 1) / 2)
+                 {
+                   auto __bonus = __spare / sizeof(_Tp);
+                   __n += __bonus;
+                   __bytes += __bonus * sizeof(_Tp);
+                 }
+               else if (sizeof(_Tp) <= __spare)
+                 {
+                   __n += 1;
+                   __bytes += sizeof(_Tp);
+                 }
+               void* __p = _GLIBCXX_OPERATOR_NEW(__bytes);
+               return { static_cast<_Tp*>(__p), __n };
              }
          }
+#endif
        return { allocate(__n), __n };
       }
 #endif
diff --git a/libstdc++-v3/testsuite/20_util/allocator/allocate_at_least2.cc 
b/libstdc++-v3/testsuite/20_util/allocator/allocate_at_least2.cc
new file mode 100644
index 00000000000..4f8645ed50d
--- /dev/null
+++ b/libstdc++-v3/testsuite/20_util/allocator/allocate_at_least2.cc
@@ -0,0 +1,66 @@
+// { dg-do run { target c++23 } }
+
+#include <memory>
+#include <stdlib.h>
+#include <testsuite_hooks.h>
+
+std::size_t gn = 0;
+void* operator new(std::size_t n)
+{
+  gn = n;
+  return ::malloc(n);
+}
+
+// Failing to define ops delete, too, would generate warnings.
+
+void operator delete(void* p) noexcept
+{ ::free(p); }
+
+#if __cpp_sized_deallocation
+void operator delete(void* p, std::size_t) noexcept
+{ ::free(p); }
+#endif
+
+template <unsigned size, unsigned n>
+void test_nm()
+{
+  struct A { char a[size]; };
+  std::allocator<A> alloc;
+  using alloc_traits = std::allocator_traits<std::allocator<A>>;
+  auto [p, m] = alloc_traits::allocate_at_least(alloc, n);
+
+#if __cpp_aligned_new
+  unsigned mod = __STDCPP_DEFAULT_NEW_ALIGNMENT__;
+  unsigned max = ((n * size) + mod - 1) & ~(mod - 1);
+  unsigned count = max / sizeof(A);
+#else
+  unsigned count = n;
+#endif
+  VERIFY(m == count);
+  VERIFY(gn == count * sizeof(A));
+  VERIFY(p != nullptr);  // named it, use it.
+}
+
+void test()
+{                  //  m  gn
+  test_nm<1,3>();  // 16  16
+  test_nm<2,3>();  //  8  16
+  test_nm<3,3>();  //  5  15
+  test_nm<4,3>();  //  4  16
+  test_nm<5,3>();  //  3  15
+  test_nm<6,3>();  //  5  30
+  test_nm<7,3>();  //  4  28
+  test_nm<8,3>();  //  4  32
+  test_nm<9,3>();  //  3  27
+  test_nm<10,3>(); //  3  30
+  test_nm<11,3>(); //  4  44
+  test_nm<12,3>(); //  4  48
+  test_nm<13,3>(); //  3  39
+  test_nm<14,3>(); //  3  42
+  test_nm<15,3>(); //  3  45
+}
+
+int main()
+{
+  test();
+}
diff --git 
a/libstdc++-v3/testsuite/23_containers/vector/modifiers/insert_vs_emplace.cc 
b/libstdc++-v3/testsuite/23_containers/vector/modifiers/insert_vs_emplace.cc
index 187e433d9d3..d226490d6f3 100644
--- a/libstdc++-v3/testsuite/23_containers/vector/modifiers/insert_vs_emplace.cc
+++ b/libstdc++-v3/testsuite/23_containers/vector/modifiers/insert_vs_emplace.cc
@@ -223,11 +223,12 @@ test03()
 void
 test04()
 {
-  const X::special expected{ 0, 3, 1, 0, 3, 0 };
+  const X::special expected{ 0, 4, 1, 0, 4, 0 };
   X::special ins, emp;
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -241,7 +242,8 @@ test04()
   }
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -261,11 +263,12 @@ test04()
 void
 test05()
 {
-  const X::special expected{ 0, 3, 0, 0, 4, 0 };
+  const X::special expected{ 0, 4, 0, 0, 5, 0 };
   X::special ins, emp;
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -279,7 +282,8 @@ test05()
   }
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -299,11 +303,12 @@ test05()
 void
 test06()
 {
-  const X::special expected{ 1, 4, 0, 0, 4, 0 };
+  const X::special expected{ 1, 5, 0, 0, 5, 0 };
   X::special ins, emp;
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -316,7 +321,8 @@ test06()
   }
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -447,11 +453,12 @@ test09()
 void
 test10()
 {
-  const X::special expected{ 0, 3, 1, 0, 3, 0 };
+  const X::special expected{ 0, 4, 1, 0, 4, 0 };
   X::special ins, emp;
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -465,7 +472,8 @@ test10()
   }
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -485,11 +493,12 @@ test10()
 void
 test11()
 {
-  const X::special expected{ 0, 3, 0, 0, 4, 0 };
+  const X::special expected{ 0, 4, 0, 0, 5, 0 };
   X::special ins, emp;
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -503,7 +512,8 @@ test11()
   }
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -523,11 +533,12 @@ test11()
 void
 test12()
 {
-  const X::special expected{ 1, 4, 0, 0, 4, 0 };
+  const X::special expected{ 1, 5, 0, 0, 5, 0 };
   X::special ins, emp;
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
@@ -540,7 +551,8 @@ test12()
   }
   {
     std::vector<X> v;
-    v.reserve(3);
+    v.reserve(4);
+    v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
     v.push_back(X(0,0));
-- 
2.54.0

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