When a class has a default constructor, I can use the instantiation of std::make_shared in the same way as a pointer to a function. This is probably because the instantiated template has to be compiled and stored in memory and its address must exist.
#include <memory>
#include <functional>
class DefaultConstructible
{
};
typedef std::function<std::shared_ptr<DefaultConstructible>()> Generator;
int main()
{
    Generator generator(std::make_shared<DefaultConstructible>);
    std::shared_ptr<DefaultConstructible> defConst = generator();
    return 0;
}
But the same thing fails when I add a non-trivial constructor:
#include <memory>
#include <functional>
class FromInt
{
public:
    FromInt(int a):a_(a){}
    int a_;
};
typedef std::function<std::shared_ptr<FromInt>(int)> Generator;
int main()
{
    Generator generator(std::make_shared<FromInt>);
    std::shared_ptr<FromInt> p = generator(2);
    return 0;
}
I get a compiler error:
 error: no matching function for call to 
'std::function<std::shared_ptr<FromInt>(int)>::function(<unresolved overloaded function type>)'
     Generator g(std::make_shared<FromInt>);
                                          ^
Why is this so and how can I make my code compile?
You just need to be explicit about which constructor you want it to use:
Generator generator(std::make_shared<FromInt, int>);
The "extra" template argument(s) correspond to the constructor arguments.
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