< cpp‎ | types
Type support
Basic types
Fundamental types
Fixed width integer types (C++11)
Numeric limits
C numeric limits interface
Runtime type information
Type traits
Type categories
Type properties
(C++11)(until C++20)
(C++11)(deprecated in C++20)
Type trait constants
Constant evaluation context
Supported operations
Relationships and property queries
Type modifications
Type transformations
(C++11)(until C++20)(C++17)
Defined in header <type_traits>
template< class T >
struct is_arithmetic;
(since C++11)

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 true. For any other type, value is false.

Template parameters

T - a type to check

Helper variable template

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

Inherited from std::integral_constant

Member constants

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)
returns value
(public member function)

Member types

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


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> {};


#include <iostream>
#include <type_traits>
class A {};
int main() 
    std::cout << std::boolalpha;
    std::cout << "A:           " <<  std::is_arithmetic<A>::value << '\n';
    std::cout << "bool:        " <<  std::is_arithmetic<bool>::value << '\n';
    std::cout << "int:         " <<  std::is_arithmetic<int>::value << '\n';
    std::cout << "int const:   " <<  std::is_arithmetic<int const>::value << '\n';
    std::cout << "int &:       " <<  std::is_arithmetic<int&>::value << '\n';
    std::cout << "int *:       " <<  std::is_arithmetic<int*>::value << '\n';
    std::cout << "float:       " <<  std::is_arithmetic<float>::value << '\n';
    std::cout << "float const: " <<  std::is_arithmetic<float const>::value << '\n';
    std::cout << "float &:     " <<  std::is_arithmetic<float&>::value << '\n';
    std::cout << "float *:     " <<  std::is_arithmetic<float*>::value << '\n';
    std::cout << "char:        " <<  std::is_arithmetic<char>::value << '\n';
    std::cout << "char const:  " <<  std::is_arithmetic<char const>::value << '\n';
    std::cout << "char &:      " <<  std::is_arithmetic<char&>::value << '\n';
    std::cout << "char *:      " <<  std::is_arithmetic<char*>::value << '\n';


A:           false
bool:        true
int:         true
int const:   true
int &:       false
int *:       false
float:       true
float const: true
float &:     false
float *:     false
char:        true
char const:  true
char &:      false
char *:      false

See also

checks if a type is an integral type
(class template)
checks if a type is a floating-point type
(class template)