the
ceil
of
factor
ceil
(
expression )
Factor and expression yield integer
s, number
s, or complex
es.
put ceil(steve) into bill
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.
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 |