Call a functor with a specific function from an overload set

Question

Context

In mathematics-related context, I'd like to define functors working on <cmath> functions. For the purpose of this question, we will be using std::invoke as our functor.

This is ill-formed (live demo):

std::invoke(std::sin, 0.0);

(g++-8.1) error: no matching function for call to 'invoke(<unresolved overloaded function type>, double)'

Indeed, std::sin is an overload set and the compiler lacks the type information to choose one of those functions.

Question

How could I name a specific function from an overload set? With what could we replace LEFT and RIGHT so that the following is well-formed and does what is expected (say, select double std::sin(double))?

#include <functional>
#include <cmath>

int main()
{
    (void) std::invoke(LEFT std::sin RIGHT, 0.0);
}

If this is not possible, is there a way to define a functor so it is overload-set-aware?

Answer 1

The easiest way I know to do this is to use a lambda to enable overload lookup

std::invoke([](auto val){return std::sin(val);}, 0.0);

Will allow you to pass any value to invoke and then the lambda body will handle the actual call and overload resolution will come in then.

You can use a macro to abstract the lambda body out of the call to invoke using something like

#define FUNCTORIZE(func) [](auto&&... val) noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) {return func(std::forward<decltype(val)>(val)...);}
//...
std::invoke(FUNCTORIZE(std::sin), 0.0);

Answer 2

How could I name a specific function from an overload set?

static_cast. E.g.

std::invoke(static_cast< double(*)(double) >( &std::sin ), 0.0);

There are easier ways to do around this, e.g. use a generic lambda to avoid that horrible syntax:

std::invoke([](auto x){ return std::sin(x); }, 0.0);

In Qt we've been bit pretty hard by the problem of taking the address of overloaded functions up to the point that helpers have been introduced. I discussed a possible implementation of such a helper here.

Normative reference for the static_cast usage is here.