Force template deduction from a function to produce const references where applicable

running through the following function using gdb in vscode tells me that the deduced argTypes for a function of the form T (*)(const int &, const int *, int &, int) are int const int * int & and int respectively. Is there any way to force the compiler to deduce const Type & when presented with a const Type & argument? Or is there some other means by which I can extract that type information in a useful way?

#include<typeinfo>

template<typename T, typename...argTypes>
void testfunc(T (*f)(argTypes...))
{
    const char *a[] = { typeid(argTypes).name()... };
    for(auto &av :a)
    {
        std::cout << av << std::endl;
    }
}