Enum RoundingMode
- java.lang.Object
-
- java.lang.Enum<RoundingMode>
-
- java.math.RoundingMode
- All Implemented Interfaces:
-
Serializable
,Comparable<RoundingMode>
public enum RoundingMode extends Enum<RoundingMode>
Specifies a rounding behavior for numerical operations capable of discarding precision. Each rounding mode indicates how the least significant returned digit of a rounded result is to be calculated. If fewer digits are returned than the digits needed to represent the exact numerical result, the discarded digits will be referred to as the discarded fraction regardless the digits' contribution to the value of the number. In other words, considered as a numerical value, the discarded fraction could have an absolute value greater than one.
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. ).
- Since:
- 1.5
- See Also:
-
BigDecimal
,MathContext
Enum Constant Summary
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 the |
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. |
Methods declared in class java.lang.Enum
clone, compareTo, equals, finalize, getDeclaringClass, hashCode, name, ordinal, toString, valueOf
Methods declared in class java.lang.Object
getClass, notify, notifyAll, wait, wait, wait
Enum Constant Detail
UP
public static final RoundingMode 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:
Input Number | Input rounded to one digit with UP rounding |
---|---|
5.5 | 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
public static final RoundingMode 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.
Example:
Input Number | Input rounded to one digit with DOWN rounding |
---|---|
5.5 | 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
public static final RoundingMode CEILING
Rounding mode to round towards positive infinity. If the result is positive, behaves as for RoundingMode.UP
; if negative, behaves as for RoundingMode.DOWN
. Note that this rounding mode never decreases the calculated value.
Example:
Input Number | Input rounded to one digit with CEILING rounding |
---|---|
5.5 | 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
public static final RoundingMode FLOOR
Rounding mode to round towards negative infinity. If the result is positive, behave as for RoundingMode.DOWN
; if negative, behave as for RoundingMode.UP
. Note that this rounding mode never increases the calculated value.
Example:
Input Number | Input rounded to one digit with FLOOR rounding |
---|---|
5.5 | 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
public static final RoundingMode HALF_UP
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round up. Behaves as for RoundingMode.UP
if the discarded fraction is ≥ 0.5; otherwise, behaves as for RoundingMode.DOWN
. Note that this is the rounding mode commonly taught at school.
Example:
Input Number | Input rounded to one digit with HALF_UP rounding |
---|---|
5.5 | 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
public static final RoundingMode HALF_DOWN
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round down. Behaves as for RoundingMode.UP
if the discarded fraction is > 0.5; otherwise, behaves as for RoundingMode.DOWN
.
Example:
Input Number | Input rounded to one digit with HALF_DOWN rounding |
---|---|
5.5 | 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
public static final RoundingMode 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 for RoundingMode.HALF_UP
if the digit to the left of the discarded fraction is odd; behaves as for RoundingMode.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 for float
and double
arithmetic in Java.
Example:
Input Number | Input rounded to one digit with HALF_EVEN rounding |
---|---|
5.5 | 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
public static final RoundingMode 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, an ArithmeticException
is thrown.
Example:
Input Number | Input rounded to one digit with UNNECESSARY rounding |
---|---|
5.5 | 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 Detail
values
public static RoundingMode[] values()
Returns an array containing the constants of this enum type, in the order they are declared. This method may be used to iterate over the constants as follows:
for (RoundingMode c : RoundingMode.values()) System.out.println(c);
- Returns:
- an array containing the constants of this enum type, in the order they are declared
valueOf
public static RoundingMode valueOf(String name)
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 name -
NullPointerException
- if the argument is null
valueOf
public static RoundingMode valueOf(int rm)
Returns the RoundingMode
object corresponding to a legacy integer rounding mode constant in BigDecimal
.
- Parameters:
-
rm
- legacy integer rounding mode to convert - Returns:
-
RoundingMode
corresponding to the given integer. - Throws:
-
IllegalArgumentException
- integer is out of range