为什么函数指针不为std :: function有效模板参数？

我已经定义了名为 CallBackAtInit 的类模板，该模板仅用于在初始化时调用一个函数（构造函数）。该功能在模板参数中指定。问题在于模板不接受 std :: function 作为参数。但是它们接受函数指针。为什么？

I have defined class template named CallBackAtInit which only purpose is to call a function at its initialization (constructor). The function is specified in template parameters. The problem is that templates does not accept std::function as parameters; but they accept function pointers. Why?

这是我的代码：

#include <iostream>
#include <functional>

/* Does not work:*/     template <typename return_type, typename arg_type, std::function<return_type(arg_type)> call_back>
/* Work fine: *///      template <typename return_type, typename arg_type, return_type(*call_back)(arg_type)>

class CallBackAtInit {
public:
    CallBackAtInit(arg_type arg)
    {
        call_back(arg);
    };
};

void printInt(int i);

class HoldInt : private CallBackAtInit<void, int, printInt> {
public:
    HoldInt(int integer)
    : CallBackAtInit(integer)
    {}
    // ...
};

int main(int argc, char** argv)
{
    HoldInt hi(10);
    return 0;
}

void printInt(int i)
{
    std::cout << i << std::endl;
}