I am wondering whether there would be a trick to simplify the writing of a trait to return whether a type is a noexcept function. Currently my implementation is the following, and it just lists all the possibilities, one by one. Could it be written in a simpler way using standard C++20?
// Default
template <class>
struct is_noexcept_function: std::false_type {};
// Variable template
template <class T>
inline constexpr bool is_noexcept_function_v
= is_noexcept_function<T>::value;
// Noexcept functions
template <class R, class... Args>
struct is_noexcept_function<R(Args...) noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) const noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) volatile noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) const volatile noexcept>: std::true_type {};
// Noexcept lvalue-ref-qualified functions
template <class R, class... Args>
struct is_noexcept_function<R(Args...) & noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) const & noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) volatile & noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) const volatile & noexcept>: std::true_type {};
// Noexcept rvalue-ref-qualified functions
template <class R, class... Args>
struct is_noexcept_function<R(Args...) && noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) const && noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) volatile && noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args...) const volatile && noexcept>: std::true_type {};
// Noexcept variadic functions
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) const noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) volatile noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) const volatile noexcept>: std::true_type {};
// Noexcept lvalue-ref-qualified variadic functions
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) & noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) const & noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) volatile & noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) const volatile & noexcept>: std::true_type {};
// Noexcept rvalue-ref-qualified variadic functions
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) && noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) const && noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) volatile && noexcept>: std::true_type {};
template <class R, class... Args>
struct is_noexcept_function<R(Args..., ...) const volatile && noexcept>: std::true_type {};
There are two parts to your problem: detect whether the type is a function, then detect whether that function is noexcept. Unfortunately, there is no better way to detect whether a type is a function. Not even in C++20. You really do need to specialize for all combinations of const, volatile, and ref qualification.
This fact caused much frustration to at least one standard library implementer when noexcept became part of a function's type in C++17.