BigDecimal Class
Definition
Important
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Immutable, arbitrary-precision signed decimal numbers.
[Android.Runtime.Register("java/math/BigDecimal", DoNotGenerateAcw=true)]
public class BigDecimal : Java.Lang.Number, IDisposable, Java.Interop.IJavaPeerable, Java.Lang.IComparable
[<Android.Runtime.Register("java/math/BigDecimal", DoNotGenerateAcw=true)>]
type BigDecimal = class
inherit Number
interface ISerializable
interface IJavaObject
interface IDisposable
interface IJavaPeerable
interface IComparable
- Inheritance
- Attributes
- Implements
Remarks
Immutable, arbitrary-precision signed decimal numbers. A BigDecimal
consists of an arbitrary precision integer #unscaledValue() unscaled value and a 32-bit integer #scale() scale. If zero or positive, the scale is the number of digits to the right of the decimal point. If negative, the unscaled value of the number is multiplied by ten to the power of the negation of the scale. The value of the number represented by the BigDecimal
is therefore (unscaledValue × 10<sup>-scale</sup>)
.
The BigDecimal
class provides operations for arithmetic, scale manipulation, rounding, comparison, hashing, and format conversion. The #toString
method provides a canonical representation of a BigDecimal
.
The BigDecimal
class gives its user complete control over rounding behavior. If no rounding mode is specified and the exact result cannot be represented, an ArithmeticException
is thrown; otherwise, calculations can be carried out to a chosen precision and rounding mode by supplying an appropriate MathContext
object to the operation. In either case, eight <em>rounding modes</em> are provided for the control of rounding. Using the integer fields in this class (such as #ROUND_HALF_UP
) to represent rounding mode is deprecated; the enumeration values of the RoundingMode
enum
, (such as RoundingMode#HALF_UP
) should be used instead.
When a MathContext
object is supplied with a precision setting of 0 (for example, MathContext#UNLIMITED
), arithmetic operations are exact, as are the arithmetic methods which take no MathContext
object. As a corollary of computing the exact result, the rounding mode setting of a MathContext
object with a precision setting of 0 is not used and thus irrelevant. In the case of divide, the exact quotient could have an infinitely long decimal expansion; for example, 1 divided by 3. If the quotient has a nonterminating decimal expansion and the operation is specified to return an exact result, an ArithmeticException
is thrown. Otherwise, the exact result of the division is returned, as done for other operations.
When the precision setting is not 0, the rules of BigDecimal
arithmetic are broadly compatible with selected modes of operation of the arithmetic defined in ANSI X3.274-1996 and ANSI X3.274-1996/AM 1-2000 (section 7.4). Unlike those standards, BigDecimal
includes many rounding modes. Any conflicts between these ANSI standards and the BigDecimal
specification are resolved in favor of BigDecimal
.
Since the same numerical value can have different representations (with different scales), the rules of arithmetic and rounding must specify both the numerical result and the scale used in the result's representation.
The different representations of the same numerical value are called members of the same cohort. The #compareTo(BigDecimal) natural order of BigDecimal
considers members of the same cohort to be equal to each other. In contrast, the #equals(Object) equals
method requires both the numerical value and representation to be the same for equality to hold. The results of methods like #scale()
and #unscaledValue()
will differ for numerically equal values with different representations.
In general the rounding modes and precision setting determine how operations return results with a limited number of digits when the exact result has more digits (perhaps infinitely many in the case of division and square root) than the number of digits returned.
First, the total number of digits to return is specified by the MathContext
's precision
setting; this determines the result's precision. The digit count starts from the leftmost nonzero digit of the exact result. The rounding mode determines how any discarded trailing digits affect the returned result.
For all arithmetic operators, the operation is carried out as though an exact intermediate result were first calculated and then rounded to the number of digits specified by the precision setting (if necessary), using the selected rounding mode. If the exact result is not returned, some digit positions of the exact result are discarded. When rounding increases the magnitude of the returned result, it is possible for a new digit position to be created by a carry propagating to a leading "9" digit. For example, rounding the value 999.9 to three digits rounding up would be numerically equal to one thousand, represented as 100×10<sup>1</sup>. In such cases, the new "1" is the leading digit position of the returned result.
For methods and constructors with a MathContext
parameter, if the result is inexact but the rounding mode is RoundingMode#UNNECESSARY UNNECESSARY
, an ArithmeticException
will be thrown.
Besides a logical exact result, each arithmetic operation has a preferred scale for representing a result. The preferred scale for each operation is listed in the table below.
<table class="striped" style="text-align:left"> <caption>Preferred Scales for Results of Arithmetic Operations </caption> <thead> <tr><th scope="col">Operation</th><th scope="col">Preferred Scale of Result</th></tr> </thead> <tbody> <tr><th scope="row">Add</th><td>max(addend.scale(), augend.scale())</td> <tr><th scope="row">Subtract</th><td>max(minuend.scale(), subtrahend.scale())</td> <tr><th scope="row">Multiply</th><td>multiplier.scale() + multiplicand.scale()</td> <tr><th scope="row">Divide</th><td>dividend.scale() - divisor.scale()</td> <tr><th scope="row">Square root</th><td>radicand.scale()/2</td> </tbody> </table>
These scales are the ones used by the methods which return exact arithmetic results; except that an exact divide may have to use a larger scale since the exact result may have more digits. For example, 1/32
is 0.03125
.
Before rounding, the scale of the logical exact intermediate result is the preferred scale for that operation. If the exact numerical result cannot be represented in precision
digits, rounding selects the set of digits to return and the scale of the result is reduced from the scale of the intermediate result to the least scale which can represent the precision
digits actually returned. If the exact result can be represented with at most precision
digits, the representation of the result with the scale closest to the preferred scale is returned. In particular, an exactly representable quotient may be represented in fewer than precision
digits by removing trailing zeros and decreasing the scale. For example, rounding to three digits using the RoundingMode#FLOOR floor rounding mode, <br>
19/100 = 0.19 // integer=19, scale=2
<br>
but<br>
21/110 = 0.190 // integer=190, scale=3
<br>
Note that for add, subtract, and multiply, the reduction in scale will equal the number of digit positions of the exact result which are discarded. If the rounding causes a carry propagation to create a new high-order digit position, an additional digit of the result is discarded than when no new digit position is created.
Other methods may have slightly different rounding semantics. For example, the result of the pow
method using the #pow(int, MathContext) specified algorithm can occasionally differ from the rounded mathematical result by more than one unit in the last place, one #ulp() ulp.
Two types of operations are provided for manipulating the scale of a BigDecimal
: scaling/rounding operations and decimal point motion operations. Scaling/rounding operations (#setScale setScale
and #round round
) return a BigDecimal
whose value is approximately (or exactly) equal to that of the operand, but whose scale or precision is the specified value; that is, they increase or decrease the precision of the stored number with minimal effect on its value. Decimal point motion operations (#movePointLeft movePointLeft
and #movePointRight movePointRight
) return a BigDecimal
created from the operand by moving the decimal point a specified distance in the specified direction.
As a 32-bit integer, the set of values for the scale is large, but bounded. If the scale of a result would exceed the range of a 32-bit integer, either by overflow or underflow, the operation may throw an ArithmeticException
.
For the sake of brevity and clarity, pseudo-code is used throughout the descriptions of BigDecimal
methods. The pseudo-code expression (i + j)
is shorthand for "a BigDecimal
whose value is that of the BigDecimal
i
added to that of the BigDecimal
j
." The pseudo-code expression (i == j)
is shorthand for "true
if and only if the BigDecimal
i
represents the same value as the BigDecimal
j
." Other pseudo-code expressions are interpreted similarly. Square brackets are used to represent the particular BigInteger
and scale pair defining a BigDecimal
value; for example [19, 2] is the BigDecimal
numerically equal to 0.19 having a scale of 2.
All methods and constructors for this class throw NullPointerException
when passed a null
object reference for any input parameter.
Added in 1.1.
Java documentation for java.math.BigDecimal
.
Portions of this page are modifications based on work created and shared by the Android Open Source Project and used according to terms described in the Creative Commons 2.5 Attribution License.
Constructors
BigDecimal(BigInteger, Int32, MathContext) |
Translates a |
BigDecimal(BigInteger, Int32) |
Translates a |
BigDecimal(BigInteger, MathContext) |
Translates a |
BigDecimal(BigInteger) |
Translates a |
BigDecimal(Char[], Int32, Int32, MathContext) |
Translates a character array representation of a
|
BigDecimal(Char[], Int32, Int32) |
Translates a character array representation of a
|
BigDecimal(Char[], MathContext) |
Translates a character array representation of a
|
BigDecimal(Char[]) |
Translates a character array representation of a
|
BigDecimal(Double, MathContext) |
Translates a |
BigDecimal(Double) |
Translates a |
BigDecimal(Int32, MathContext) |
Translates an |
BigDecimal(Int32) |
Translates an |
BigDecimal(Int64, MathContext) |
Translates a |
BigDecimal(Int64) |
Translates a |
BigDecimal(IntPtr, JniHandleOwnership) |
A constructor used when creating managed representations of JNI objects; called by the runtime. |
BigDecimal(String, MathContext) |
Translates the string representation of a |
BigDecimal(String) |
Translates the string representation of a |
Fields
RoundCeiling |
Rounding mode to round towards positive infinity. |
RoundDown |
Rounding mode to round towards zero. |
RoundFloor |
Rounding mode to round towards negative infinity. |
RoundHalfDown |
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round down. |
RoundHalfEven |
Rounding mode to round towards the "nearest neighbor" unless both neighbors are equidistant, in which case, round towards the even neighbor. |
RoundHalfUp |
Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round up. |
RoundUnnecessary |
Rounding mode to assert that the requested operation has an exact result, hence no rounding is necessary. |
RoundUp |
Rounding mode to round away from zero. |
Properties
Class |
Returns the runtime class of this |
Handle |
The handle to the underlying Android instance. (Inherited from Object) |
JniIdentityHashCode | (Inherited from Object) |
JniPeerMembers | |
One |
The value 1, with a scale of 0. |
PeerReference | (Inherited from Object) |
Ten |
The value 10, with a scale of 0. |
ThresholdClass |
This API supports the Mono for Android infrastructure and is not intended to be used directly from your code. |
ThresholdType |
This API supports the Mono for Android infrastructure and is not intended to be used directly from your code. |
Zero |
The value 0, with a scale of 0. |
Methods
Abs() |
Returns a |
Abs(MathContext) |
Returns a |
Add(BigDecimal, MathContext) |
Returns a |
Add(BigDecimal) |
Returns a |
ByteValue() |
Returns the value of the specified number as a |
ByteValueExact() |
Converts this |
Clone() |
Creates and returns a copy of this object. (Inherited from Object) |
CompareTo(BigDecimal) |
Compares this |
Dispose() | (Inherited from Object) |
Dispose(Boolean) | (Inherited from Object) |
Divide(BigDecimal, Int32, RoundingMode) |
Returns a |
Divide(BigDecimal, Int32, RoundOptions) |
Returns a |
Divide(BigDecimal, MathContext) |
Returns a |
Divide(BigDecimal, RoundingMode) |
Returns a |
Divide(BigDecimal, RoundOptions) |
Returns a |
Divide(BigDecimal) |
Returns a |
DivideAndRemainder(BigDecimal, MathContext) |
Returns a two-element |
DivideAndRemainder(BigDecimal) |
Returns a two-element |
DivideToIntegralValue(BigDecimal, MathContext) |
Returns a |
DivideToIntegralValue(BigDecimal) |
Returns a |
DoubleValue() |
Converts this |
Equals(Object) |
Indicates whether some other object is "equal to" this one. (Inherited from Object) |
FloatValue() |
Converts this |
GetHashCode() |
Returns a hash code value for the object. (Inherited from Object) |
IntValue() |
Converts this |
IntValueExact() |
Converts this |
JavaFinalize() |
Called by the garbage collector on an object when garbage collection determines that there are no more references to the object. (Inherited from Object) |
LongValue() |
Converts this |
LongValueExact() |
Converts this |
Max(BigDecimal) |
Returns the maximum of this |
Min(BigDecimal) |
Returns the minimum of this |
MovePointLeft(Int32) |
Returns a |
MovePointRight(Int32) |
Returns a |
Multiply(BigDecimal, MathContext) |
Returns a |
Multiply(BigDecimal) |
Returns a |
Negate() |
Returns a |
Negate(MathContext) |
Returns a |
Notify() |
Wakes up a single thread that is waiting on this object's monitor. (Inherited from Object) |
NotifyAll() |
Wakes up all threads that are waiting on this object's monitor. (Inherited from Object) |
Plus() |
Returns a |
Plus(MathContext) |
Returns a |
Pow(Int32, MathContext) |
Returns a |
Pow(Int32) |
Returns a |
Precision() |
Returns the precision of this |
Remainder(BigDecimal, MathContext) |
Returns a |
Remainder(BigDecimal) |
Returns a |
Round(MathContext) |
Returns a |
Scale() |
Returns the scale of this |
ScaleByPowerOfTen(Int32) |
Returns a BigDecimal whose numerical value is equal to
( |
SetHandle(IntPtr, JniHandleOwnership) |
Sets the Handle property. (Inherited from Object) |
SetScale(Int32, RoundingMode) |
Returns a |
SetScale(Int32, RoundOptions) |
Returns a |
SetScale(Int32) |
Returns a |
ShortValue() |
Returns the value of the specified number as a |
ShortValueExact() |
Converts this |
Signum() |
Returns the signum function of this |
Sqrt(MathContext) |
Returns an approximation to the square root of |
StripTrailingZeros() |
Returns a |
Subtract(BigDecimal, MathContext) |
Returns a |
Subtract(BigDecimal) |
Returns a |
ToArray<T>() | (Inherited from Object) |
ToBigInteger() |
Converts this |
ToBigIntegerExact() |
Converts this |
ToEngineeringString() |
Returns a string representation of this |
ToPlainString() |
Returns a string representation of this |
ToString() |
Returns a string representation of the object. (Inherited from Object) |
Ulp() |
Returns the size of an ulp, a unit in the last place, of this
|
UnregisterFromRuntime() | (Inherited from Object) |
UnscaledValue() |
Returns a |
ValueOf(Double) |
Translates a |
ValueOf(Int64, Int32) |
Translates a |
ValueOf(Int64) |
Translates a |
Wait() |
Causes the current thread to wait until it is awakened, typically by being <em>notified</em> or <em>interrupted</em>. (Inherited from Object) |
Wait(Int64, Int32) |
Causes the current thread to wait until it is awakened, typically by being <em>notified</em> or <em>interrupted</em>, or until a certain amount of real time has elapsed. (Inherited from Object) |
Wait(Int64) |
Causes the current thread to wait until it is awakened, typically by being <em>notified</em> or <em>interrupted</em>, or until a certain amount of real time has elapsed. (Inherited from Object) |
Explicit Interface Implementations
IComparable.CompareTo(Object) | |
IJavaPeerable.Disposed() | (Inherited from Object) |
IJavaPeerable.DisposeUnlessReferenced() | (Inherited from Object) |
IJavaPeerable.Finalized() | (Inherited from Object) |
IJavaPeerable.JniManagedPeerState | (Inherited from Object) |
IJavaPeerable.SetJniIdentityHashCode(Int32) | (Inherited from Object) |
IJavaPeerable.SetJniManagedPeerState(JniManagedPeerStates) | (Inherited from Object) |
IJavaPeerable.SetPeerReference(JniObjectReference) | (Inherited from Object) |
Extension Methods
JavaCast<TResult>(IJavaObject) |
Performs an Android runtime-checked type conversion. |
JavaCast<TResult>(IJavaObject) | |
GetJniTypeName(IJavaPeerable) |