Split a given std::variant type by a given criteria

With Boost.Mp11, this is a short one-liner (as always):

using V1 = mp_filter<std::is_arithmetic, V>;
using V2 = mp_remove_if<V, std::is_arithmetic>;

You can also use:

using V1 = mp_copy_if<V, std::is_arithmetic>;

to make the two more symmetric.


Alternatively,

using P = mp_partition<V, std::is_arithmetic>;
using V1 = mp_first<P>;
using V2 = mp_second<P>;

If for whatever reason you don't want to use Barry's short and reasonable answer, here is one that is neither (thanks @xskxzr for removing the awkward "bootstrap" specialization, and to @max66 for warning me against the empty variant corner case):

namespace detail {
    template <class V>
    struct convert_empty_variant {
        using type = V;
    };

    template <>
    struct convert_empty_variant<std::variant<>> {
        using type = std::variant<std::monostate>;
    };

    template <class V>
    using convert_empty_variant_t = typename convert_empty_variant<V>::type;

    template <class V1, class V2, template <class> class Predicate, class V>
    struct split_variant;

    template <class V1, class V2, template <class> class Predicate>
    struct split_variant<V1, V2, Predicate, std::variant<>> {
        using matching = convert_empty_variant_t<V1>;
        using non_matching = convert_empty_variant_t<V2>;
    };

    template <class... V1s, class... V2s, template <class> class Predicate, class Head, class... Tail>
    struct split_variant<std::variant<V1s...>, std::variant<V2s...>, Predicate, std::variant<Head, Tail...>>
    : std::conditional_t<
        Predicate<Head>::value,
        split_variant<std::variant<V1s..., Head>, std::variant<V2s...>, Predicate, std::variant<Tail...>>,
        split_variant<std::variant<V1s...>, std::variant<V2s..., Head>, Predicate, std::variant<Tail...>>
    > { };
}

template <class V, template <class> class Predicate>
using split_variant = detail::split_variant<std::variant<>, std::variant<>, Predicate, V>;

See it live on Wandbox


EDIT Given that a empty variant (std::variant<>) is ill formed (according cppreference) and that should be used std::variant<std::monostate> instead, I've modified the answer (added a tuple2variant() specialization for empty tuple) to support the case when the list of types for V1 or V2 is empty.


It's a little decltype() delirium but... if you declare a helper filter couple of function as follows

template <bool B, typename T>
constexpr std::enable_if_t<B == std::is_arithmetic_v<T>, std::tuple<T>>
   filterArithm ();

template <bool B, typename T>
constexpr std::enable_if_t<B != std::is_arithmetic_v<T>, std::tuple<>>
   filterArithm ();

and a tuple to variant function (with a specialization for empty tuples, to avoid a empty std::variant)

std::variant<std::monostate> tuple2variant (std::tuple<> const &);

template <typename ... Ts>
std::variant<Ts...> tuple2variant (std::tuple<Ts...> const &);

your class simply (?) become

template <typename ... Ts>
struct TheAnswer<std::variant<Ts...>>
 {
   using V1 = decltype(tuple2variant(std::declval<
                 decltype(std::tuple_cat( filterArithm<true, Ts>()... ))>()));
   using V2 = decltype(tuple2variant(std::declval<
                 decltype(std::tuple_cat( filterArithm<false, Ts>()... ))>()));
 };

If you want something more generic (if you want to pass std::arithmetic as a template parameter), you can modify the filterArithm() function passing a template-template filter parameter F (renamed filterType())

template <template <typename> class F, bool B, typename T>
constexpr std::enable_if_t<B == F<T>::value, std::tuple<T>>
   filterType ();

template <template <typename> class F, bool B, typename T>
constexpr std::enable_if_t<B != F<T>::value, std::tuple<>>
   filterType ();

The TheAnswer class become

template <typename, template <typename> class>
struct TheAnswer;

template <typename ... Ts, template <typename> class F>
struct TheAnswer<std::variant<Ts...>, F>
 {
   using V1 = decltype(tuple2variant(std::declval<decltype(
                 std::tuple_cat( filterType<F, true, Ts>()... ))>()));
   using V2 = decltype(tuple2variant(std::declval<decltype(
                 std::tuple_cat( filterType<F, false, Ts>()... ))>()));
 };

and the TA declaration take also std::is_arithmetic

using TA = TheAnswer<std::variant<bool, char, std::string, int, float,
                                  double, std::vector<int>>,
                     std::is_arithmetic>;

The following is a full compiling example with std::is_arithmetic as parameter and a V2 empty case

#include <tuple>
#include <string>
#include <vector>
#include <variant>
#include <type_traits>

std::variant<std::monostate> tuple2variant (std::tuple<> const &);

template <typename ... Ts>
std::variant<Ts...> tuple2variant (std::tuple<Ts...> const &);

template <template <typename> class F, bool B, typename T>
constexpr std::enable_if_t<B == F<T>::value, std::tuple<T>>
   filterType ();

template <template <typename> class F, bool B, typename T>
constexpr std::enable_if_t<B != F<T>::value, std::tuple<>>
   filterType ();

template <typename, template <typename> class>
struct TheAnswer;

template <typename ... Ts, template <typename> class F>
struct TheAnswer<std::variant<Ts...>, F>
 {
   using V1 = decltype(tuple2variant(std::declval<decltype(
                 std::tuple_cat( filterType<F, true, Ts>()... ))>()));
   using V2 = decltype(tuple2variant(std::declval<decltype(
                 std::tuple_cat( filterType<F, false, Ts>()... ))>()));
 };

int main ()
 {
   using TA = TheAnswer<std::variant<bool, char, std::string, int, float,
                                     double, std::vector<int>>,
                        std::is_arithmetic>;
   using TB = TheAnswer<std::variant<bool, char, int, float, double>,
                        std::is_arithmetic>;

   using VA1 = std::variant<bool, char, int, float, double>;
   using VA2 = std::variant<std::string, std::vector<int>>;
   using VB1 = VA1;
   using VB2 = std::variant<std::monostate>;

   static_assert( std::is_same_v<VA1, TA::V1> );
   static_assert( std::is_same_v<VA2, TA::V2> );
   static_assert( std::is_same_v<VB1, TB::V1> );
   static_assert( std::is_same_v<VB2, TB::V2> );
 }