Functions

ceil

Supported By

Syntax

[the] ceil of factor

ceil ( expression )

Factor and expression yield integers, numbers, or complexes.

Example

put ceil(steve) into bill

Description

The ceil function returns the given value rounded towards positive infinity. If the given value is an integer, the given value is returned. Otherwise, the given value is rounded to the next highest integer, regardless of sign.

The following table illustrates the behavior of the ceil function:

argument result
2 2
1.75 2
1.5 2
1.25 2
1 1
0.75 1
0.5 1
0.25 1
0 0
-0.25 0
-0.5 0
-0.75 0
-1 -1
-1.25 -1
-1.5 -1
-1.75 -1
-2 -2

If the given value is a complex, the real and imaginary parts of the complex number are each rounded individually.

Notes

The following table shows the correspondences among the various roundingMethods, rounding functions, and division operators:

rounding parameter function operator java.math.RoundingMode
to ceiling ceil CEILING
to floor floor div / mod FLOOR
up / to infinity aug UP
down / to zero trunc quot / rem DOWN
to nearest round HALF_UP
to even rint HALF_EVEN

The following table illustrates the behavior of the rounding functions side-by-side:

argument ceil floor aug trunc round rint
2 2 2 2 2 2 2
1.75 2 1 2 1 2 2
1.5 2 1 2 1 2 2
1.25 2 1 2 1 1 1
1 1 1 1 1 1 1
0.75 1 0 1 0 1 1
0.5 1 0 1 0 1 0
0.25 1 0 1 0 0 0
0 0 0 0 0 0 0
-0.25 0 -1 -1 0 0 0
-0.5 0 -1 -1 0 -1 0
-0.75 0 -1 -1 0 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1.25 -1 -2 -2 -1 -1 -1
-1.5 -1 -2 -2 -1 -2 -2
-1.75 -1 -2 -2 -1 -2 -2
-2 -2 -2 -2 -2 -2 -2

See Also

floor, aug, trunc, round, rint