the
aug
of
factor
aug
(
expression )
Factor and expression yield integer
s, number
s, or complex
es.
put aug(steve) into bill
The aug
function returns the given value rounded towards unsigned infinity, or away from zero. If the given value is an integer
, the given value is returned. Otherwise, the given value is rounded to the integer with the next highest absolute value and the same sign.
The following table illustrates the behavior of the aug
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 | -1 |
-0.5 | -1 |
-0.75 | -1 |
-1 | -1 |
-1.25 | -2 |
-1.5 | -2 |
-1.75 | -2 |
-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 |