What is this member pointer syntax?

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#include <iostream>
#include <type_traits>

struct Foo
{
    // ### Member Function ###
    void bar() { std::cout << "Foo::bar()\n"; }
};

// ### 1 Parameter Primary Template (which is empty) ###
template<typename>
struct Traits {};

// ### 2 Parameter Template Specialization ###
template<class T, class U>
struct Traits<T U::*>
              ^^^^^^ // I don't understand this syntax
{
    using type1 = T;
    using type2 = U;
};

int main()
{
    // ### Pointer to member function ###
    void (Foo::*memFuncPtr)() = &Foo::bar;
    
    Foo f;

    // ### Use the member function pointer to invoke it ###
    (f.*memFuncPtr)();
    
    static_assert(std::is_same_v<void(), Traits<decltype(&Foo::bar)>::type1>);
    static_assert(std::is_same_v<Foo, Traits<decltype(&Foo::bar)>::type2>);

    return 0;
}

How does the specialization syntax work? It makes sense that the U in U::* is the same as the Foo type but why is T the same as the void() type?

Edit

After the very useful comments from @user17732522 and answer by @AnoopRana I was able to change the main function implementation to use the same syntax (just to see it work).

int main()
{
    using F = void();

    // ### Pointer to member function ###
    F Foo::*memFuncPtr = &Foo::bar;

    Foo f;

    // ### Use the member function pointer to invoke it ###
    (f.*memFuncPtr)();

    static_assert(std::is_same_v<void(), Traits<decltype(&Foo::bar)>::type1>);
    static_assert(std::is_same_v<Foo, Traits<decltype(&Foo::bar)>::type2>);

    return 0;
}
c++
1 Answers
struct Trait<T U::*>
             ^^^^^^ // I don't understand this syntax

The above syntax means that we've a pointer to a member of a class named U where the member has type T. In other words, a pointer to a member of class U that has type T.

Now let's apply this to &Foo::bar. The type of the expression &Foo::bar is:

void (Foo::* f)()

Now you can compare this with T U::*

So, after comparing we get:

  1. U = Foo which is the class type.
  2. T = void() which means a function that has the return type void and takes no parameter i.e., a function type.

which effectively means that we've a pointer to a member function that has the return type void and takes no parameters, of class Foo.

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