Type trait to check that all types in a parameter pack are copy constructible

Question

I need a type trait to check whether all types in a parameter pack are copy constructible. This is what I've done so far. The main function contains some test cases, to check the functionality.

#include <type_traits>
#include <string>
#include <memory> 

template <class... Args0toN>
struct areCopyConstructible;

template<>
struct areCopyConstructible<> : std::true_type {};

template <class Arg0, class... Args1toN, class std::enable_if< !std::is_copy_constructible<Arg0>::value>::type* = nullptr >
struct areCopyConstructible : std::false_type {};

template <class Arg0, class... Args1toN, class std::enable_if< std::is_copy_constructible<Arg0>::value>::type* = nullptr >
struct areCopyConstructible : areCopyConstructible<Args1toN...> {};

int main()
{
  static_assert(areCopyConstructible<>::value, "failed");
  static_assert(areCopyConstructible<int>::value, "failed");
  static_assert(areCopyConstructible<int, std::string>::value, "failed");
  static_assert(!areCopyConstructible<std::unique_ptr<int> >::value, "failed");
  static_assert(!areCopyConstructible<int, std::unique_ptr<int> >::value, "failed");
  static_assert(!areCopyConstructible<std::unique_ptr<int>, int >::value, "failed");
}

Link to Live Example

My idea was to check recursively, whether the head element of the pack is copy-constructible or not and go on further, with the tail. Unfortunately, I do not get this idea to compile. My knowledge about variadic templates is not very advanced. I guess, that enable-if after parameter pack in template list does not work. I have no idea. Does anyone has a good advice, how to solve the problem?

Answer 1

First define a reusable utility to test whether every predicate in a pack is true:

template<typename... Conds>
  struct and_
  : std::true_type
  { };

template<typename Cond, typename... Conds>
  struct and_<Cond, Conds...>
  : std::conditional<Cond::value, and_<Conds...>, std::false_type>::type
  { };

Then it's trivial to use that with is_copy_constructible (or any other unary type trait):

template<typename... T>
  using areCopyConstructible = and_<std::is_copy_constructible<T>...>;

One advantage of defining and_ like this is that it short-circuits, i.e. stops instantiating is_copy_constructible for the rest of the pack after the first false result.

Answer 2

I prefer @Columbo's bool_pack trick. First a template to test that everything in a bool parameter pack is true:

template<bool...> struct bool_pack;
template<bool... bs> 
using all_true = std::is_same<bool_pack<bs..., true>, bool_pack<true, bs...>>;

Then

template<class... Ts>
using areCopyConstructible = all_true<std::is_copy_constructible<Ts>::value...>;

Answer 3

If the inheritance from std::true_type or std::false_type is not important, then this can be done in straightforward way without SFINAE:

template <class... Args0toN>
struct areCopyConstructible;

template<>
struct areCopyConstructible<> : std::true_type {};

template <class Arg0, class... Args1toN>
struct areCopyConstructible<Arg0, Args1toN...> {
    static constexpr bool value = std::is_copy_constructible<Arg0>::value
        && areCopyConstructible<Args1toN...>::value;
};

If you want to inherit from std::true_type or std::false_type, you can use std::conditional:

template <class... Args0toN>
struct areCopyConstructible;

template<>
struct areCopyConstructible<> : std::true_type {};

template <class Arg0, class... Args1toN>
struct areCopyConstructible<Arg0, Args1toN...> : 
    std::conditional<std::is_copy_constructible<Arg0>::value,
        areCopyConstructible<Args1toN...>,
        std::false_type
    >::type
{};