std::is_arithmetic

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

std::is_arithmetic is a UnaryTypeTrait.

If T is an arithmetic type (that is, an integral type or a floating-point type) or a cv-qualified version thereof, provides the member constant value equal to true. For any other type, value is false.

If the program adds specializations for std::is_arithmetic or std::is_arithmetic_v(since C++17), the behavior is undefined.

Template parameters

T

-

a type to check

Helper variable template

template< class T > constexpr bool is_arithmetic_v = is_arithmetic<T>::value;		(since C++17)

Inherited from std::integral_constant

Member constants

value

[static]

true if T is an arithmetic 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

Arithmetic types are the built-in types for which the arithmetic operators (+, -, *, /) are defined (possibly in combination with the usual arithmetic conversions).

Specializations of std::numeric_limits are provided for all arithmetic types.

Possible implementation

template<class T>
struct is_arithmetic : std::integral_constant<bool,
                                              std::is_integral<T>::value ||
                                              std::is_floating_point<T>::value> {};

Example

Run this code

#include <atomic>
#include <cstddef>
#include <type_traits>
 
class A {};
 
enum class B : int { e };
 
static_assert(
    std::is_arithmetic_v<bool>            == true  and
    std::is_arithmetic_v<char>            == true  and
    std::is_arithmetic_v<char const>      == true  and
    std::is_arithmetic_v<int>             == true  and
    std::is_arithmetic_v<int const>       == true  and
    std::is_arithmetic_v<float>           == true  and
    std::is_arithmetic_v<float const>     == true  and
    std::is_arithmetic_v<std::size_t>     == true  and
 
    std::is_arithmetic_v<char&>           == false and
    std::is_arithmetic_v<char*>           == false and
    std::is_arithmetic_v<int&>            == false and
    std::is_arithmetic_v<int*>            == false and
    std::is_arithmetic_v<float&>          == false and
    std::is_arithmetic_v<float*>          == false and
    std::is_arithmetic_v<A>               == false and
    std::is_arithmetic_v<B>               == false and
    std::is_arithmetic_v<decltype(B::e)>  == false and
    std::is_arithmetic_v<std::byte>       == false and
    std::is_arithmetic_v<std::atomic_int> == false
);
 
int main() {}

Compiler support
Freestanding and hosted
Language
Standard library
Standard library headers
Named requirements
Feature test macros (C++20)
Language support library
Concepts library (C++20)
Metaprogramming library (C++11)
Diagnostics library
General utilities library
Strings library
Containers library
Iterators library
Ranges library (C++20)
Algorithms library
Numerics library
Localizations library
Input/output library
Filesystem library (C++17)
Regular expressions library (C++11)
Concurrency support library (C++11)
Execution support library (C++26)
Technical specifications
Symbols index
External libraries

is_integral (C++11)	checks if a type is an integral type (class template)
is_floating_point (C++11)	checks if a type is a floating-point type (class template)