c++ - Double-Checked Lock Singleton in C++11

Question

Is the following singleton implementation data-race free?

static std::atomic<Tp *> m_instance;
...

static Tp &
instance()
{
    if (!m_instance.load(std::memory_order_relaxed))
    {
        std::lock_guard<std::mutex> lock(m_mutex);
        if (!m_instance.load(std::memory_order_acquire))
        {
            Tp * i = new Tp;
            m_instance.store(i, std::memory_order_release);    
        }    
    }

    return * m_instance.load(std::memory_order_relaxed);
}

Is the std::memory_model_acquire of the load operation superfluous? Is it possible to further relax both load and store operations by switching them to std::memory_order_relaxed? In that case, is the acquire/release semantic of std::mutex enough to guarantee its correctness, or a further std::atomic_thread_fence(std::memory_order_release) is also required to ensure that the writes to memory of the constructor happen before the relaxed store? Yet, is the use of fence equivalent to have the store with memory_order_release?

EDIT: Thanks to the answer of John, I came up with the following implementation that should be data-race free. Even though the inner load could be non-atomic at all, I decided to leave a relaxed load in that it does not affect the performance. In comparison to always have an outer load with the acquire memory order, the thread_local machinery improves the performance of accessing the instance of about an order of magnitude.

static Tp &
instance()
{
    static thread_local Tp *instance;

    if (!instance && 
        !(instance = m_instance.load(std::memory_order_acquire)))
    {
        std::lock_guard<std::mutex> lock(m_mutex);
        if (!(instance = m_instance.load(std::memory_order_relaxed)))
        {
            instance = new Tp; 
            m_instance.store(instance, std::memory_order_release);    
        }    
    }
    return *instance;
}

Answer 1

I think this a great question and John Calsbeek has the correct answer.

However, just to be clear a lazy singleton is best implemented using the classic Meyers singleton. It has garanteed correct semantics in C++11.

§ 6.7.4

... If control enters the declaration concurrently while the variable is being initialized, the concurrent execution shall wait for completion of the initialization. ...

The Meyer's singleton is preferred in that the compiler can aggressively optimize the concurrent code. The compiler would be more restricted if it had to preserve the semantics of a std::mutex. Furthermore, the Meyer's singleton is 2 lines and virtually impossible to get wrong.

Here is a classic example of a Meyer's singleton. Simple, elegant, and broken in c++03. But simple, elegant, and powerful in c++11.

class Foo
{
public:
   static Foo& instance( void )
   {
      static Foo s_instance;
      return s_instance;
   }
};