C++ can compilers inline a function pointer?

Sure thing.

It knows the value of function is the same as the value it passes it, knows the definition of the function, so just replaces the definition inline and calls the function directly.

I can’t think of a condition where a compiler won’t inline a one-line function call, it’s just replacing a function call with a function call, no possible loss.

Given this code:

#include <iostream>

template <typename Function>
void functionProxy(Function function)
{
    function();
}

struct Functor
{
    void operator()() const
    {
        std::cout << "functor!" << std::endl;
    }
};

void function()
{
    std::cout << "function!" << std::endl;
}

//#define MANUALLY_INLINE

#ifdef MANUALLY_INLINE
void test()
{
    Functor()();

    function();

    [](){ std::cout << "lambda!" << std::endl; }();
}
#else
void test()
{
    functionProxy(Functor());

    functionProxy(function);

    functionProxy([](){ std::cout << "lambda!" << std::endl; });
}
#endif

int main()
{
    test();
}

With MANUALLY_INLINE defined, we get this:

test:
00401000  mov         eax,dword ptr [__imp_std::endl (402044h)]  
00401005  mov         ecx,dword ptr [__imp_std::cout (402058h)]  
0040100B  push        eax  
0040100C  push        offset string "functor!" (402114h)  
00401011  push        ecx  
00401012  call        std::operator<<<std::char_traits<char> > (401110h)  
00401017  add         esp,8  
0040101A  mov         ecx,eax  
0040101C  call        dword ptr [__imp_std::basic_ostream<char,std::char_traits<char> >::operator<< (40204Ch)]  
00401022  mov         edx,dword ptr [__imp_std::endl (402044h)]  
00401028  mov         eax,dword ptr [__imp_std::cout (402058h)]  
0040102D  push        edx  
0040102E  push        offset string "function!" (402120h)  
00401033  push        eax  
00401034  call        std::operator<<<std::char_traits<char> > (401110h)  
00401039  add         esp,8  
0040103C  mov         ecx,eax  
0040103E  call        dword ptr [__imp_std::basic_ostream<char,std::char_traits<char> >::operator<< (40204Ch)]  
00401044  mov         ecx,dword ptr [__imp_std::endl (402044h)]  
0040104A  mov         edx,dword ptr [__imp_std::cout (402058h)]  
00401050  push        ecx  
00401051  push        offset string "lambda!" (40212Ch)  
00401056  push        edx  
00401057  call        std::operator<<<std::char_traits<char> > (401110h)  
0040105C  add         esp,8  
0040105F  mov         ecx,eax  
00401061  call        dword ptr [__imp_std::basic_ostream<char,std::char_traits<char> >::operator<< (40204Ch)]  
00401067  ret  

And without, this:

test:
00401000  mov         eax,dword ptr [__imp_std::endl (402044h)]  
00401005  mov         ecx,dword ptr [__imp_std::cout (402058h)]  
0040100B  push        eax  
0040100C  push        offset string "functor!" (402114h)  
00401011  push        ecx  
00401012  call        std::operator<<<std::char_traits<char> > (401110h)  
00401017  add         esp,8  
0040101A  mov         ecx,eax  
0040101C  call        dword ptr [__imp_std::basic_ostream<char,std::char_traits<char> >::operator<< (40204Ch)]  
00401022  mov         edx,dword ptr [__imp_std::endl (402044h)]  
00401028  mov         eax,dword ptr [__imp_std::cout (402058h)]  
0040102D  push        edx  
0040102E  push        offset string "function!" (402120h)  
00401033  push        eax  
00401034  call        std::operator<<<std::char_traits<char> > (401110h)  
00401039  add         esp,8  
0040103C  mov         ecx,eax  
0040103E  call        dword ptr [__imp_std::basic_ostream<char,std::char_traits<char> >::operator<< (40204Ch)]  
00401044  mov         ecx,dword ptr [__imp_std::endl (402044h)]  
0040104A  mov         edx,dword ptr [__imp_std::cout (402058h)]  
00401050  push        ecx  
00401051  push        offset string "lambda!" (40212Ch)  
00401056  push        edx  
00401057  call        std::operator<<<std::char_traits<char> > (401110h)  
0040105C  add         esp,8  
0040105F  mov         ecx,eax  
00401061  call        dword ptr [__imp_std::basic_ostream<char,std::char_traits<char> >::operator<< (40204Ch)]  
00401067  ret

The same. (Compiled with MSVC 2010, vanilla Release.)