- Function Ceil(x)
Ceil
Ceil(
x ! (input) numerical expression
)
Arguments
- x
A scalar numerical expression.
Return Value
The function
Ceil
returns the smallest integer value \(\geq\) x.
Example
_p_returnA := ceil(-1.00); ! returns -1
_p_returnB := ceil(-0.99); ! returns 0
_p_returnC := ceil( 0 ); ! returns 0
_p_returnD := ceil( 0.99); ! returns 1
Note
The function
Ceil
will round to the nearest integer, if it lies within the equality tolerancesequality_absolute_tolerance
andequality_relative_tolerance
.The function
Ceil
can be used in the constraints of nonlinear mathematical programs. However, nonlinear solvers may experience convergence problems around integer values.When the numerical expression contains a unit, the function
Ceil
will first convert the expression to the corresponding base unit, before evaluating the function itself.
See also
Arithmetic functions are discussed in full detail in Arithmetic Functions of the Language Reference.
Numeric tolerances are discussed in Arithmetic Functions of the Language Reference.