std::numeric_limits::is_modulo

 

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static const bool is_modulo		(until C++11)
static constexpr bool is_modulo		(since C++11)

The value of std::numeric_limits<T>::is_modulo is true for all arithmetic types T that handle overflows with modulo arithmetic, that is, if the result of addition, subtraction, multiplication, or division of this type would fall outside the range [min(), max()], the value returned by such operation differs from the expected value by a multiple of max()-min()+1.

Standard specializations

T	value of std::numeric_limits<T>::is_modulo
/* non-specialized */	false
bool	false
char	true
signed char	true
unsigned char	true
wchar_t	true
char16_t	true
char32_t	true
short	true
unsigned short	true
int	true
unsigned int	true
long	true
unsigned long	true
long long	true
unsigned long long	true
float	false
double	false
long double	false

Example

Demonstrates the behavior of modulo types

#include <iostream>
#include <type_traits>
#include <limits>
 
template<class T>
typename std::enable_if<std::numeric_limits<T>::is_modulo>::type
    check_overflow()
{
    std::cout << "\nmax value is " << std::numeric_limits<T>::max() << '\n'
              << "min value is " << std::numeric_limits<T>::min() << '\n'
              << "max value + 1 is " << std::numeric_limits<T>::max()+1 << '\n';
}
 
int main()
{
    check_overflow<int>();
    check_overflow<unsigned long>();
    // check_overflow<float>(); // compile-time error, not a modulo type
}

Output:

max value is 2147483647
min value is -2147483648
max value + 1 is -2147483648
 
max value is 18446744073709551615
min value is 0
max value + 1 is 0

See also

is_integer [static]	identifies integer types (public static member constant)
is_iec559 [static]	identifies the IEC 559/IEEE 754 floating-point types (public static member constant)
is_exact [static]	identifies exact types (public static member constant)