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std::is_function

Defined in header `<type_traits>`
template< class T > struct is_function;		(since C++11)

Checks whether T is a function type. Types like std::function, lambdas, classes with overloaded operator() and pointers to functions don't count as function types. Provides the member constant value which is equal to true, if T is a function type. Otherwise, value is equal to false.

The behavior of a program that adds specializations for is_function or is_function_v (since C++17) is undefined.

Template parameters

a type to check

Helper variable template

template< class T >
inline constexpr bool is_function_v = is_function<T>::value;

(since C++17)

Inherited from std::integral_constant

Member constants

value

[static]

true if T is a function type, false otherwise
(public static member constant)

Member functions

operator bool	converts the object to bool, returns `value` (public member function)
operator() (C++14)	returns `value` (public member function)

Member types

Type	Definition
`value_type`	bool
`type`	std::integral_constant<bool, value>

Notes

std::is_function can be implemented in much simpler ways. Implementations similar to the following one are used by new versions of libc++, libstdc++ and MS STL:

template<class T>
struct is_function : std::integral_constant<
    bool,
    !std::is_const<const T>::value && !std::is_reference<T>::value
> {};

The implementation shown below is for pedagogical purposes, since it exhibits the myriad kinds of function types.

Possible implementation

// primary template
template<class>
struct is_function : std::false_type {};
 
// specialization for regular functions
template<class Ret, class... Args>
struct is_function<Ret(Args...)> : std::true_type {};
 
// specialization for variadic functions such as std::printf
template<class Ret, class... Args>
struct is_function<Ret(Args......)> : std::true_type {};
 
// specialization for function types that have cv-qualifiers
template<class Ret, class... Args>
struct is_function<Ret(Args...) const> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) volatile> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const volatile> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) volatile> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const volatile> : std::true_type {};
 
// specialization for function types that have ref-qualifiers
template<class Ret, class... Args>
struct is_function<Ret(Args...) &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) volatile &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const volatile &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) volatile &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const volatile &> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) volatile &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const volatile &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) volatile &&> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const volatile &&> : std::true_type {};
 
// specializations for noexcept versions of all the above (C++17 and later)
template<class Ret, class... Args>
struct is_function<Ret(Args...) noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) volatile noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const volatile noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) volatile noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const volatile noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) volatile & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const volatile & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) volatile & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const volatile & noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) volatile && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args...) const volatile && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) volatile && noexcept> : std::true_type {};
template<class Ret, class... Args>
struct is_function<Ret(Args......) const volatile && noexcept> : std::true_type {};

Example

#include <iostream>
#include <type_traits>
 
struct A { int fun() const&; };
 
template<typename>
struct PM_traits {};
 
template<class T, class U>
struct PM_traits<U T::*> { using member_type = U; };
 
int f();
 
int main() 
{
    std::cout << std::boolalpha;
    std::cout << "#1 " << std::is_function_v<A> << '\n';
    std::cout << "#2 " << std::is_function_v<int(int)> << '\n';
    std::cout << "#3 " << std::is_function_v<decltype(f)> << '\n';
    std::cout << "#4 " << std::is_function_v<int> << '\n';
 
    using T = PM_traits<decltype(&A::fun)>::member_type; // T is int() const&
    std::cout << "#5 " << std::is_function_v<T> << '\n';
}

Output:

#1 false
#2 true
#3 true
#4 false
#5 true

is_invocableis_invocable_ris_nothrow_invocableis_nothrow_invocable_r (C++17)	checks if a type can be invoked (as if by `std::invoke`) with the given argument types (class template)
is_object (C++11)	checks if a type is an object type (class template)
is_class (C++11)	checks if a type is a non-union class type (class template)