The most direct subproblem is in the land of typelists:
template <class... Ts>
struct typelist {
using type = typelist;
static constexpr std::size_t size = sizeof...(Ts);
};
template <class T>
struct tag { using type = T; };
template <std::size_t N, class TL>
struct head_n {
using type = ???;
};
Now, head_n
is just a matter of simple recursion - move an element from one list to another list N
times starting from an empty list.
template <std::size_t N, class R, class TL>
struct head_n_impl;
// have at least one to pop from and need at least one more, so just
// move it over
template <std::size_t N, class... Ts, class U, class... Us>
struct head_n_impl<N, typelist<Ts...>, typelist<U, Us...>>
: head_n_impl<N-1, typelist<Ts..., U>, typelist<Us...>>
{ };
// we have two base cases for 0 because we need to be more specialized
// than the previous case regardless of if we have any elements in the list
// left or not
template <class... Ts, class... Us>
struct head_n_impl<0, typelist<Ts...>, typelist<Us...>>
: tag<typelist<Ts...>>
{ };
template <class... Ts, class U, class... Us>
struct head_n_impl<0, typelist<Ts...>, typelist<U, Us...>>
: tag<typelist<Ts...>>
{ };
template <std::size_t N, class TL>
using head_n = typename head_n_impl<N, typelist<>, TL>::type;
Going from this to your specific problem I leave as an exercise to the reader.
An alternate approach is via concatenation. Convert every element of a typelist<Ts...>
into either a typelist<T>
or a typelist<>
, and then concat them all together. concat
is straightforward:
template <class... Ts>
struct concat { };
template <class TL>
struct concat<TL>
: tag<TL>
{ };
template <class... As, class... Bs, class... Rest>
struct concat<typelist<As...>, typelist<Bs...>, Rest...>
: concat<typelist<As..., Bs...>, Rest...>
{ };
And then we can do:
template <std::size_t N, class TL, class = std::make_index_sequence<TL::size>>
struct head_n;
template <std::size_t N, class... Ts, std::size_t... Is>
struct head_n<N, typelist<Ts...>, std::index_sequence<Is...>>
: concat<
std::conditional_t<(Is < N), typelist<Ts>, typelist<>>...
>
{ };
template <std::size_t N, class TL>
using head_n_t = typename head_n<N, TL>::type;
The advantage of this latter approach is that concat
can be replaced in C++17 by a fold-expression given an appropriate operator+
:
template <class... As, class... Bs>
constexpr typelist<As..., Bs...> operator+(typelist<As...>, typelist<Bs...> ) {
return {};
}
which allows:
template <std::size_t N, class... Ts, std::size_t... Is>
struct head_n<N, typelist<Ts...>, std::index_sequence<Is...>>
{
using type = decltype(
(std::conditional_t<(Is < N), typelist<Ts>, typelist<>>{} + ... + typelist<>{})
);
};