std::rint, std::rintf, std::rintl, std::lrint, std::lrintf, std::lrintl, std::llrint, std::llrintf
Defined in header <cmath> | ||
Rounding to floating-point types | ||
(1) | ||
float rint (float num ); double rint (double num ); | (since C++11) (until C++23) | |
/* floating-point-type */ rint(/* floating-point-type */ num ); | (since C++23) | |
float rintf(float num ); | (2) | (since C++11) |
longdouble rintl(longdouble num ); | (3) | (since C++11) |
Rounding to long | ||
(4) | ||
long lrint (float num ); long lrint (double num ); | (since C++11) (until C++23) | |
long lrint (/* floating-point-type */ num ); | (since C++23) | |
long lrintf(float num ); | (5) | (since C++11) |
long lrintl(longdouble num ); | (6) | (since C++11) |
Rounding to longlong | ||
(7) | ||
longlong llrint (float num ); longlong llrint (double num ); | (since C++11) (until C++23) | |
longlong llrint (/* floating-point-type */ num ); | (since C++23) | |
longlong llrintf(float num ); | (8) | (since C++11) |
longlong llrintl(longdouble num ); | (9) | (since C++11) |
Defined in header <cmath> | ||
template<class Integer > double rint( Integer num ); | (A) | (since C++11) |
template<class Integer > long lrint( Integer num ); | (B) | (since C++11) |
template<class Integer > longlong llrint( Integer num ); | (C) | (since C++11) |
std::rint
for all cv-unqualified floating-point types as the type of the parameter num.(since C++23)std::lrint
and std::llrint
for all cv-unqualified floating-point types as the type of the parameter num.(since C++23)Contents |
[edit]Parameters
num | - | floating-point or integer value |
[edit]Return value
If no errors occur, the nearest integer value to num, according to the current rounding mode, is returned.
[edit]Error handling
Errors are reported as specified in math_errhandling.
If the result of std::lrint
or std::llrint
is outside the range representable by the return type, a domain error or a range error may occur.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
- For the
std::rint
function:
- If num is ±∞, it is returned, unmodified.
- If num is ±0, it is returned, unmodified.
- If num is NaN, NaN is returned.
- For
std::lrint
andstd::llrint
functions:
- If num is ±∞, FE_INVALID is raised and an implementation-defined value is returned.
- If the result of the rounding is outside the range of the return type, FE_INVALID is raised and an implementation-defined value is returned.
- If num is NaN, FE_INVALID is raised and an implementation-defined value is returned.
[edit]Notes
POSIX specifies that all cases where std::lrint
or std::llrint
raise FE_INEXACT are domain errors.
As specified in math_errhandling, FE_INEXACT may be (but isn't required to be on non-IEEE floating-point platforms) raised by std::rint
when rounding a non-integer finite value.
The only difference between std::rint
and std::nearbyint is that std::nearbyint never raises FE_INEXACT.
The largest representable floating-point values are exact integers in all standard floating-point formats, so std::rint
never overflows on its own; however the result may overflow any integer type (including std::intmax_t), when stored in an integer variable.
If the current rounding mode is:
- FE_DOWNWARD, then
std::rint
is equivalent to std::floor. - FE_UPWARD, then
std::rint
is equivalent to std::ceil. - FE_TOWARDZERO, then
std::rint
is equivalent to std::trunc. - FE_TONEAREST, then
std::rint
differs from std::round in that halfway cases are rounded to even rather than away from zero.
The additional overloads are not required to be provided exactly as (A-C). They only need to be sufficient to ensure that for their argument num of integer type:
- std::rint(num) has the same effect as std::rint(static_cast<double>(num)).
- std::lrint(num) has the same effect as std::lrint(static_cast<double>(num)).
- std::llrint(num) has the same effect as std::llrint(static_cast<double>(num)).
[edit]Example
#include <cfenv>#include <climits>#include <cmath>#include <iostream>// #pragma STDC FENV_ACCESS ON int main(){std::fesetround(FE_TONEAREST);std::cout<<"Rounding to nearest (halfway cases to even):\n"<<" rint(+2.3) = "<< std::rint(2.3)<<'\n'<<" rint(+2.5) = "<< std::rint(2.5)<<'\n'<<" rint(+3.5) = "<< std::rint(3.5)<<'\n'<<" rint(-2.3) = "<< std::rint(-2.3)<<'\n'<<" rint(-2.5) = "<< std::rint(-2.5)<<'\n'<<" rint(-3.5) = "<< std::rint(-3.5)<<'\n'; std::fesetround(FE_DOWNWARD);std::cout<<"Rounding down:\n"<<" rint(+2.3) = "<< std::rint(2.3)<<'\n'<<" rint(+2.5) = "<< std::rint(2.5)<<'\n'<<" rint(+3.5) = "<< std::rint(3.5)<<'\n'<<" rint(-2.3) = "<< std::rint(-2.3)<<'\n'<<" rint(-2.5) = "<< std::rint(-2.5)<<'\n'<<" rint(-3.5) = "<< std::rint(-3.5)<<'\n'<<"Rounding down with lrint:\n"<<" lrint(+2.3) = "<< std::lrint(2.3)<<'\n'<<" lrint(+2.5) = "<< std::lrint(2.5)<<'\n'<<" lrint(+3.5) = "<< std::lrint(3.5)<<'\n'<<" lrint(-2.3) = "<< std::lrint(-2.3)<<'\n'<<" lrint(-2.5) = "<< std::lrint(-2.5)<<'\n'<<" lrint(-3.5) = "<< std::lrint(-3.5)<<'\n'<<"Special values:\n"<<" lrint(-0.0) = "<< std::lrint(-0.0)<<'\n'<<std::hex<<std::showbase<<" lrint(-Inf) = "<< std::lrint(-INFINITY)<<'\n'; // error handlingstd::feclearexcept(FE_ALL_EXCEPT); std::cout<<"std::rint(0.1) = "<< std::rint(.1)<<'\n';if(std::fetestexcept(FE_INEXACT))std::cout<<" FE_INEXACT was raised\n"; std::feclearexcept(FE_ALL_EXCEPT); std::cout<<"std::lrint(LONG_MIN-2048.0) = "<< std::lrint(LONG_MIN-2048.0)<<'\n';if(std::fetestexcept(FE_INVALID))std::cout<<" FE_INVALID was raised\n";}
Possible output:
Rounding to nearest (halfway cases to even): rint(+2.3) = 2 rint(+2.5) = 2 rint(+3.5) = 4 rint(-2.3) = -2 rint(-2.5) = -2 rint(-3.5) = -4 Rounding down: rint(+2.3) = 2 rint(+2.5) = 2 rint(+3.5) = 4 rint(-2.3) = -2 rint(-2.5) = -2 rint(-3.5) = -4 Rounding down with lrint: lrint(+2.3) = 2 lrint(+2.5) = 2 lrint(+3.5) = 3 lrint(-2.3) = -3 lrint(-2.5) = -3 lrint(-3.5) = -4 Special values: lrint(-0.0) = 0 lrint(-Inf) = 0x8000000000000000 std::rint(0.1) = 0 std::lrint(LONG_MIN-2048.0) = 0x8000000000000000 FE_INVALID was raised
[edit]See also
(C++11)(C++11)(C++11) | nearest integer not greater in magnitude than the given value (function) |
(C++11)(C++11)(C++11) | nearest integer using current rounding mode (function) |
(C++11)(C++11) | gets or sets rounding direction (function) |
C documentation for rint |