Lambda functions as base classes

Playing around with Lambdas I found an interesting behaviour that I do not fully understand.

Supose I have a struct Overload that derives from 2 template parameters, and has a using F1::operator(); clause.

Now if I derive from two functors I can only access the operator() of F1 (as I would expect)

If I derive from two Lambda Functions this is no longer true: I can access the operator() from F2 too.

#include <iostream>

// I compiled with g++ (GCC) 4.7.2 20121109 (Red Hat 4.7.2-8)
//
// g++ -Wall -std=c++11 -g main.cc
// g++ -Wall -std=c++11 -DFUNCTOR -g main.cc
// 
// or clang clang version 3.3 (tags/RELEASE_33/rc2)
// 
// clang++ -Wall -std=c++11 -g main.cc
// clang++ -Wall -std=c++11 -DFUNCTOR -g main.cc
// 
// on a Linux localhost.localdomain 3.9.6-200.fc18.i686 #1 SMP Thu Jun 13 
// 19:29:40 UTC 2013 i686 i686 i386 GNU/Linux box

 
struct Functor1
{
    void operator()() { std::cout << "Functor1::operator()()\n"; }
};

struct Functor2
{
    void operator()(int) { std::cout << "Functor2::operator()(int)\n"; }
};

template <typename F1, typename F2>
struct Overload : public F1, public F2
{
    Overload()
        : F1()
        , F2() {}

    Overload(F1 x1, F2 x2)
        : F1(x1)
        , F2(x2) {}

    using F1::operator(); 
};

template <typename F1, typename F2>
auto get(F1 x1, F2 x2) -> Overload<F1, F2>
{
   return Overload<F1, F2>(x1, x2);
}


int main(int argc, char *argv[])
{
    auto f = get(Functor1(), Functor2());

    f();
#ifdef FUNCTOR
    f(2); // this one doesn't work IMHO correctly
#endif

    auto f1 = get(
                  []() { std::cout << "lambda1::operator()()\n"; },
                  [](int) { std::cout << "lambda2::operator()(int)\n"; }
                  );
    f1();
    f1(2); // this one works but I don't know why


  return 0;
}

The standard states that: > The type of the lambda-expression (which is also the type of the closure object) > is a unique, unnamed non- union class type

So every Lambda's types should be unique.

I cannot explain why this is so: can anyone shed some light on this please?

In addition to operator(), a the class defined by a lambda can (under the right circumstances) provide a conversion to a pointer to function. The circumstance (or at least the primary one) is that the lambda can't capture anything.

If you add a capture:

auto f1 = get(
              []() { std::cout << "lambda1::operator()()\n"; },
              [i](int) { std::cout << "lambda2::operator()(int)\n"; }
              );
f1();
f1(2);

...the conversion to pointer to function is no longer provided, so trying to compile the code above gives the error you probably expected all along:

trash9.cpp: In function 'int main(int, char**)':
trash9.cpp:49:9: error: no match for call to '(Overload<main(int, char**)::<lambda()>, main(int, char**)::<lambda(int)> >) (int)'
trash9.cpp:14:8: note: candidate is:
trash9.cpp:45:23: note: main(int, char**)::<lambda()>
trash9.cpp:45:23: note:   candidate expects 0 arguments, 1 provided

A lambda generates a functor class.

Indeed, you can derive from lambdas and have polymorphic lambdas!

#include <string>
#include <iostream>

int main()
{
    auto overload = make_overload(
        [](int i)          { return '[' + std::to_string(i) + ']'; },
        [](std::string s)  { return '[' + s + ']'; },
        []                 { return "[void]"; }
        );

    std::cout << overload(42)              << "\n";
    std::cout << overload("yay for c++11") << "\n";
    std::cout << overload()                << "\n";
}

Prints

[42]
[yay for c++11]
[void]

How?

template <typename... Fs>
   Overload<Fs...> make_overload(Fs&&... fs)
{
    return { std::forward<Fs>(fs)... };
}

Of course... this still hides the magic. It is the Overload class that 'magically' derives from all the lambdas and exposes the corresponding operator():

#include <functional>

template <typename... Fs> struct Overload;

template <typename F> struct Overload<F> {
    Overload(F&& f) : _f(std::forward<F>(f)) { }

    template <typename... Args>
    auto operator()(Args&&... args) const 
    -> decltype(std::declval<F>()(std::forward<Args>(args)...)) {
        return _f(std::forward<Args>(args)...);
    }

  private:
    F _f;
};

template <typename F, typename... Fs>
   struct Overload<F, Fs...> : Overload<F>, Overload<Fs...>
{
    using Overload<F>::operator();
    using Overload<Fs...>::operator();

    Overload(F&& f, Fs&&... fs) :  
        Overload<F>(std::forward<F>(f)),
        Overload<Fs...>(std::forward<Fs>(fs)...)
    {
    }
};

template <typename... Fs>
   Overload<Fs...> make_overload(Fs&&... fs)
{
    return { std::forward<Fs>(fs)... };
}

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