diff --git a/src/fallback_malloc.cpp b/src/fallback_malloc.cpp
index 75c01ef..7872018 100644
--- a/src/fallback_malloc.cpp
+++ b/src/fallback_malloc.cpp
@@ -17,6 +17,7 @@
 
 #include <stdlib.h> // for malloc, calloc, free
 #include <string.h> // for memset
+#include <new> // for std::__libcpp_aligned_{alloc,free}
 
 //  A small, simple heap manager based (loosely) on
 //  the startup heap manager from FreeBSD, optimized for space.
@@ -204,7 +205,7 @@
 
 void* __aligned_malloc_with_fallback(size_t size) {
 #if defined(_WIN32)
-  if (void* dest = _aligned_malloc(size, alignof(__aligned_type)))
+  if (void* dest = std::__libcpp_aligned_alloc(alignof(__aligned_type), size))
     return dest;
 #elif defined(_LIBCPP_HAS_NO_LIBRARY_ALIGNED_ALLOCATION)
   if (void* dest = ::malloc(size))
@@ -212,8 +213,7 @@
 #else
   if (size == 0)
     size = 1;
-  void* dest;
-  if (::posix_memalign(&dest, __alignof(__aligned_type), size) == 0)
+  if (void* dest = std::__libcpp_aligned_alloc(__alignof(__aligned_type), size))
     return dest;
 #endif
   return fallback_malloc(size);
@@ -234,11 +234,7 @@
   if (is_fallback_ptr(ptr))
     fallback_free(ptr);
   else {
-#if defined(_WIN32)
-    ::_aligned_free(ptr);
-#else
-    ::free(ptr);
-#endif
+    std::__libcpp_aligned_free(ptr);
   }
 }
 
diff --git a/src/stdlib_new_delete.cpp b/src/stdlib_new_delete.cpp
index 58f181e..643108f 100644
--- a/src/stdlib_new_delete.cpp
+++ b/src/stdlib_new_delete.cpp
@@ -142,15 +142,16 @@
         size = 1;
     if (static_cast<size_t>(alignment) < sizeof(void*))
       alignment = std::align_val_t(sizeof(void*));
+
+    // Try allocating memory. If allocation fails and there is a new_handler,
+    // call it to try free up memory, and try again until it succeeds, or until
+    // the new_handler decides to terminate.
+    //
+    // If allocation fails and there is no new_handler, we throw bad_alloc
+    // (or return nullptr if exceptions are disabled).
     void* p;
-#if defined(_LIBCPP_WIN32API)
-    while ((p = _aligned_malloc(size, static_cast<size_t>(alignment))) == nullptr)
-#else
-    while (::posix_memalign(&p, static_cast<size_t>(alignment), size) != 0)
-#endif
+    while ((p = std::__libcpp_aligned_alloc(static_cast<std::size_t>(alignment), size)) == nullptr)
     {
-        // If posix_memalign fails and there is a new_handler,
-        // call it to try free up memory.
         std::new_handler nh = std::get_new_handler();
         if (nh)
             nh();
@@ -158,7 +159,6 @@
 #ifndef _LIBCXXABI_NO_EXCEPTIONS
             throw std::bad_alloc();
 #else
-            p = nullptr; // posix_memalign doesn't initialize 'p' on failure
             break;
 #endif
         }
@@ -215,12 +215,9 @@
 void
 operator delete(void* ptr, std::align_val_t) _NOEXCEPT
 {
-    if (ptr)
-#if defined(_LIBCPP_WIN32API)
-        ::_aligned_free(ptr);
-#else
-        ::free(ptr);
-#endif
+    if (ptr) {
+        std::__libcpp_aligned_free(ptr);
+    }
 }
 
 _LIBCXXABI_WEAK