- All Implemented Interfaces:
Serializable
,Comparable<RoundingMode>
,Constable
public enum RoundingMode extends Enum<RoundingMode>
Each rounding mode description includes a table listing how
different two-digit decimal values would round to a one digit
decimal value under the rounding mode in question. The result
column in the tables could be gotten by creating a
BigDecimal
number with the specified value, forming a
MathContext
object with the proper settings
(precision
set to 1
, and the
roundingMode
set to the rounding mode in question), and
calling round
on this number with the
proper MathContext
. A summary table showing the results
of these rounding operations for all rounding modes appears below.
Input Number | Result of rounding input to one digit with the given rounding mode | |||||||
---|---|---|---|---|---|---|---|---|
UP |
DOWN |
CEILING |
FLOOR |
HALF_UP |
HALF_DOWN |
HALF_EVEN |
UNNECESSARY |
|
5.5 | 6 | 5 | 6 | 5 | 6 | 5 | 6 | throw ArithmeticException |
2.5 | 3 | 2 | 3 | 2 | 3 | 2 | 2 | throw ArithmeticException |
1.6 | 2 | 1 | 2 | 1 | 2 | 2 | 2 | throw ArithmeticException |
1.1 | 2 | 1 | 2 | 1 | 1 | 1 | 1 | throw ArithmeticException |
1.0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
-1.0 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
-1.1 | -2 | -1 | -1 | -2 | -1 | -1 | -1 | throw ArithmeticException |
-1.6 | -2 | -1 | -1 | -2 | -2 | -2 | -2 | throw ArithmeticException |
-2.5 | -3 | -2 | -2 | -3 | -3 | -2 | -2 | throw ArithmeticException |
-5.5 | -6 | -5 | -5 | -6 | -6 | -5 | -6 | throw ArithmeticException |
This enum
is intended to replace the integer-based
enumeration of rounding mode constants in BigDecimal
(BigDecimal.ROUND_UP
, BigDecimal.ROUND_DOWN
,
etc. ).
- API Note:
- Five of the rounding modes declared in this class correspond to rounding direction attributes defined in the IEEE Standard for Floating-Point Arithmetic, IEEE 754-2019. Where present, this correspondence will be noted in the documentation of the particular constant.
- Since:
- 1.5
- See Also:
BigDecimal
,MathContext
-
Nested Class Summary
Nested classes/interfaces declared in class java.lang.Enum
Enum.EnumDesc<E extends Enum<E>>
-
Enum Constant Summary
Enum Constants Enum Constant Description CEILING
Rounding mode to round towards positive infinity.DOWN
Rounding mode to round towards zero.FLOOR
Rounding mode to round towards negative infinity.HALF_DOWN
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round down.HALF_EVEN
Rounding mode to round towards the "nearest neighbor" unless both neighbors are equidistant, in which case, round towards the even neighbor.HALF_UP
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round up.UNNECESSARY
Rounding mode to assert that the requested operation has an exact result, hence no rounding is necessary.UP
Rounding mode to round away from zero. -
Method Summary
Modifier and Type Method Description static RoundingMode
valueOf(int rm)
Returns theRoundingMode
object corresponding to a legacy integer rounding mode constant inBigDecimal
.static RoundingMode
valueOf(String name)
Returns the enum constant of this type with the specified name.static RoundingMode[]
values()
Returns an array containing the constants of this enum type, in the order they are declared.
-
Enum Constant Details
-
UP
Rounding mode to round away from zero. Always increments the digit prior to a non-zero discarded fraction. Note that this rounding mode never decreases the magnitude of the calculated value.Example:
Rounding mode UP Examples Input Number Input rounded to one digit
withUP
rounding5.5 6 2.5 3 1.6 2 1.1 2 1.0 1 -1.0 -1 -1.1 -2 -1.6 -2 -2.5 -3 -5.5 -6 -
DOWN
Rounding mode to round towards zero. Never increments the digit prior to a discarded fraction (i.e., truncates). Note that this rounding mode never increases the magnitude of the calculated value. This mode corresponds to the IEEE 754-2019 rounding attribute roundTowardZero.Example:
Rounding mode DOWN Examples Input Number Input rounded to one digit
withDOWN
rounding5.5 5 2.5 2 1.6 1 1.1 1 1.0 1 -1.0 -1 -1.1 -1 -1.6 -1 -2.5 -2 -5.5 -5 -
CEILING
Rounding mode to round towards positive infinity. If the result is positive, behaves as forRoundingMode.UP
; if negative, behaves as forRoundingMode.DOWN
. Note that this rounding mode never decreases the calculated value. This mode corresponds to the IEEE 754-2019 rounding attribute roundTowardPositive.Example:
Rounding mode CEILING Examples Input Number Input rounded to one digit
withCEILING
rounding5.5 6 2.5 3 1.6 2 1.1 2 1.0 1 -1.0 -1 -1.1 -1 -1.6 -1 -2.5 -2 -5.5 -5 -
FLOOR
Rounding mode to round towards negative infinity. If the result is positive, behave as forRoundingMode.DOWN
; if negative, behave as forRoundingMode.UP
. Note that this rounding mode never increases the calculated value. This mode corresponds to the IEEE 754-2019 rounding attribute roundTowardNegative.Example:
Rounding mode FLOOR Examples Input Number Input rounded to one digit
withFLOOR
rounding5.5 5 2.5 2 1.6 1 1.1 1 1.0 1 -1.0 -1 -1.1 -2 -1.6 -2 -2.5 -3 -5.5 -6 -
HALF_UP
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round up. Behaves as forRoundingMode.UP
if the discarded fraction is ≥ 0.5; otherwise, behaves as forRoundingMode.DOWN
. Note that this is the rounding mode commonly taught at school. This mode corresponds to the IEEE 754-2019 rounding attribute roundTiesToAway.Example:
Rounding mode HALF_UP Examples Input Number Input rounded to one digit
withHALF_UP
rounding5.5 6 2.5 3 1.6 2 1.1 1 1.0 1 -1.0 -1 -1.1 -1 -1.6 -2 -2.5 -3 -5.5 -6 -
HALF_DOWN
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round down. Behaves as forRoundingMode.UP
if the discarded fraction is > 0.5; otherwise, behaves as forRoundingMode.DOWN
.Example:
Rounding mode HALF_DOWN Examples Input Number Input rounded to one digit
withHALF_DOWN
rounding5.5 5 2.5 2 1.6 2 1.1 1 1.0 1 -1.0 -1 -1.1 -1 -1.6 -2 -2.5 -2 -5.5 -5 -
HALF_EVEN
Rounding mode to round towards the "nearest neighbor" unless both neighbors are equidistant, in which case, round towards the even neighbor. Behaves as forRoundingMode.HALF_UP
if the digit to the left of the discarded fraction is odd; behaves as forRoundingMode.HALF_DOWN
if it's even. Note that this is the rounding mode that statistically minimizes cumulative error when applied repeatedly over a sequence of calculations. It is sometimes known as "Banker's rounding," and is chiefly used in the USA. This rounding mode is analogous to the rounding policy used forfloat
anddouble
arithmetic in Java. This mode corresponds to the IEEE 754-2019 rounding attribute roundTiesToEven.Example:
Rounding mode HALF_EVEN Examples Input Number Input rounded to one digit
withHALF_EVEN
rounding5.5 6 2.5 2 1.6 2 1.1 1 1.0 1 -1.0 -1 -1.1 -1 -1.6 -2 -2.5 -2 -5.5 -6 -
UNNECESSARY
Rounding mode to assert that the requested operation has an exact result, hence no rounding is necessary. If this rounding mode is specified on an operation that yields an inexact result, anArithmeticException
is thrown.Example:
Rounding mode UNNECESSARY Examples Input Number Input rounded to one digit
withUNNECESSARY
rounding5.5 throw ArithmeticException
2.5 throw ArithmeticException
1.6 throw ArithmeticException
1.1 throw ArithmeticException
1.0 1 -1.0 -1 -1.1 throw ArithmeticException
-1.6 throw ArithmeticException
-2.5 throw ArithmeticException
-5.5 throw ArithmeticException
-
-
Method Details
-
values
Returns an array containing the constants of this enum type, in the order they are declared.- Returns:
- an array containing the constants of this enum type, in the order they are declared
-
valueOf
Returns the enum constant of this type with the specified name. The string must match exactly an identifier used to declare an enum constant in this type. (Extraneous whitespace characters are not permitted.)- Parameters:
name
- the name of the enum constant to be returned.- Returns:
- the enum constant with the specified name
- Throws:
IllegalArgumentException
- if this enum type has no constant with the specified nameNullPointerException
- if the argument is null
-
valueOf
Returns theRoundingMode
object corresponding to a legacy integer rounding mode constant inBigDecimal
.- Parameters:
rm
- legacy integer rounding mode to convert- Returns:
RoundingMode
corresponding to the given integer.- Throws:
IllegalArgumentException
- integer is out of range
-