Defined in header <cfenv>  

#define FE_DOWNWARD /*implementation defined*/  (since C++11)  
#define FE_TONEAREST /*implementation defined*/  (since C++11)  
#define FE_TOWARDZERO /*implementation defined*/  (since C++11)  
#define FE_UPWARD /*implementation defined*/  (since C++11) 
Each of these macro constants expands to a nonnegative integer constant expression, which can be used with std::fesetround
and std::fegetround
to indicate one of the supported floatingpoint rounding modes. The implementation may define additional rounding mode constants in <cfenv>
, which should all begin with FE_
followed by at least one uppercase letter. Each macro is only defined if it is supported.
Constant  Explanation 

FE_DOWNWARD  rounding towards negative infinity 
FE_TONEAREST  rounding towards nearest representable value 
FE_TOWARDZERO  rounding towards zero 
FE_UPWARD  rounding towards positive infinity 
Additional rounding modes may be supported by an implementation.
The current rounding mode affects the following:
double x = 1; x/10; // 0.09999999999999999167332731531132594682276248931884765625 // or 0.1000000000000000055511151231257827021181583404541015625
std::sqrt(2); // 1.41421356237309492343001693370752036571502685546875 // or 1.4142135623730951454746218587388284504413604736328125
double d = 1 + std::numeric_limits<double>::epsilon(); float f = d; // 1.00000000000000000000000 // or 1.00000011920928955078125
std::strtod
or std::printf
std::stof("0.1"); // 0.0999999940395355224609375 // or 0.100000001490116119384765625
std::nearbyint
, std::rint
, std::lrint
std::lrint(2.1); // 2 or 3
The current rounding mode does NOT affect the following:
std::round
, std::lround
, std::llround
, std::ceil
, std::floor
, std::trunc
As with any floatingpoint environment functionality, rounding is only guaranteed if #pragma STDC FENV_ACCESS ON
is set.
Compilers that do not support the pragma may offer their own ways to support current rounding mode. For example Clang and GCC have the option froundingmath
intended to disable optimizations that would change the meaning of roundingsensitive code.
#include <cfenv> #include <cmath> #include <iomanip> #include <iostream> #include <string> int main() { #pragma STDC FENV_ACCESS ON std::fesetround(FE_DOWNWARD); std::cout << "rounding down: \n" << std::setprecision(50) << " pi = " << std::acos(1.f) << '\n' << "stof(\"1.1\") = " << std::stof("1.1") << '\n' << " rint(2.1) = " << std::rint(2.1) << "\n\n"; std::fesetround(FE_UPWARD); std::cout << "rounding up: \n" << " pi = " << std::acos(1.f) << '\n' << "stof(\"1.1\") = " << std::stof("1.1") << '\n' << " rint(2.1) = " << std::rint(2.1) << '\n'; }
Output:
rounding down: pi = 3.141592502593994140625 stof("1.1") = 1.099999904632568359375 rint(2.1) = 2 rounding up: pi = 3.1415927410125732421875 stof("1.1") = 1.10000002384185791015625 rint(2.1) = 3
indicates floatingpoint rounding modes (enum) 

(C++11)(C++11)  gets or sets rounding direction (function) 
C documentation for floatingpoint rounding macros 
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