Functions

aug

Supported By

Syntax

[the] aug of factor

aug ( expression )

Factor and expression yield integers, numbers, or complexes.

Example

put aug(steve) into bill

Description

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.

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

ceil, floor, trunc, round, rint