std::ceil, std::ceilf, std::ceill
Defined in header <cmath> | ||
---|---|---|
(1) | ||
float ceil ( float arg ); | ||
float ceilf( float arg ); | (since C++11) | |
double ceil ( double arg ); | (2) | |
(3) | ||
long double ceil ( long double arg ); | ||
long double ceill( long double arg ); | (since C++11) | |
double ceil ( IntegralType arg ); | (4) | (since C++11) |
arg
. double
).Parameters
arg | - | floating point value |
Return value
If no errors occur, the smallest integer value not less than arg
, that is ⌈arg⌉, is returned.
Error handling
Errors are reported as specified in math_errhandling
.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
- The current rounding mode has no effect.
- If
arg
is ±∞, it is returned unmodified - If
arg
is ±0, it is returned, unmodified - If arg is NaN, NaN is returned
Notes
FE_INEXACT
may be (but isn't required to be) raised when rounding a non-integer finite value.
The largest representable floating-point values are exact integers in all standard floating-point formats, so this function never overflows on its own; however the result may overflow any integer type (including std::intmax_t
), when stored in an integer variable.
This function (for double argument) behaves as if (except for the freedom to not raise FE_INEXACT
) implemented by the following code:
#include <cmath> #include <cfenv> #pragma STDC FENV_ACCESS ON double ceil(double x) { double result; int save_round = std::fegetround(); std::fesetround(FE_UPWARD); result = std::rint(x); // or std::nearbyint std::fesetround(save_round); return result; }
Example
#include <cmath> #include <iostream> int main() { std::cout << std::fixed << "ceil(+2.4) = " << std::ceil(+2.4) << '\n' << "ceil(-2.4) = " << std::ceil(-2.4) << '\n' << "ceil(-0.0) = " << std::ceil(-0.0) << '\n' << "ceil(-Inf) = " << std::ceil(-INFINITY) << '\n'; }
Output:
ceil(+2.4) = 3.000000 ceil(-2.4) = -2.000000 ceil(-0.0) = -0.000000 ceil(-Inf) = -INF
See also
(C++11)(C++11) | nearest integer not greater than the given value (function) |
(C++11)(C++11)(C++11) | nearest integer not greater in magnitude than the given value (function) |
(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11) | nearest integer, rounding away from zero in halfway cases (function) |
(C++11)(C++11)(C++11) | nearest integer using current rounding mode (function) |
(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11) | nearest integer using current rounding mode with exception if the result differs (function) |
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