< cpp‎ | types‎ | numeric limits
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Type support
Type properties
Type trait constants
Supported operations
Relationships and property queries
Type modifications
Type transformations
static const std::float_round_style round_style
(until C++11)
static constexpr std::float_round_style round_style
(since C++11)

The value of std::numeric_limits<T>::round_stylem identifies the rounding style used by the floating-point type T whenever a value that is not one of the exactly repesentable values of T is stored in an object of that type.

Standard specializations

T value of std::numeric_limits<T>::round_style
/* non-specialized */ std::round_toward_zero
bool std::round_toward_zero
char std::round_toward_zero
signed char std::round_toward_zero
unsigned char std::round_toward_zero
wchar_t std::round_toward_zero
char16_t std::round_toward_zero
char32_t std::round_toward_zero
short std::round_toward_zero
unsigned short std::round_toward_zero
int std::round_toward_zero
unsigned int std::round_toward_zero
long std::round_toward_zero
unsigned long std::round_toward_zero
long long std::round_toward_zero
unsigned long long std::round_toward_zero
float usually std::round_to_nearest
double usually std::round_to_nearest
long double usually std::round_to_nearest


The decimal value 0.1 cannot be represented by a binary floating-point type. When stored in an IEEE-745 double, it falls between 0x1.9999999999999*2-4
and 0x1.999999999999a*2-4
. Rounding to nearest representable value results in 0x1.999999999999a*2-4

Similarly, the decimal value 0.3, which is between 0x1.3333333333333*2-2
and 0x1.3333333333334*2-2
is rounded to nearest and is stored as 0x1.3333333333333*2-2

#include <iostream>
#include <limits>
int main()
    std::cout << std::hexfloat << "The decimal 0.1 is stored in a double as "
              << 0.1 << '\n'
              << "The decimal 0.3 is stored in a double as "
              << 0.3 << '\n'
              << "The rounding style is " << std::numeric_limits<double>::round_style << '\n';


The decimal 0.1 is stored in a double as 0x1.999999999999ap-4
The decimal 0.3 is stored in a double as 0x1.3333333333333p-2
The rounding style is 1

See also

indicates floating-point rounding modes
(enum) [edit]