public classBigDecimalextendsNumberimplementsComparable<BigDecimal>
BigDecimal
consists of an arbitrary precision integerunscaled value and a 32-bit integerscale. 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 theBigDecimal
is therefore(unscaledValue × 10-scale).TheBigDecimal
class provides operations for arithmetic, scale manipulation, rounding, comparison, hashing, and format conversion. ThetoString()
method provides a canonical representation of aBigDecimal
.
TheBigDecimal
class gives its user complete control over rounding behavior. If no rounding mode is specified and the exact result cannot be represented, an exception is thrown; otherwise, calculations can be carried out to a chosen precision and rounding mode by supplying an appropriateMathContext
object to the operation. In either case, eightrounding modes are provided for the control of rounding. Using the integer fields in this class (such asROUND_HALF_UP
) to represent rounding mode is largely obsolete; the enumeration values of theRoundingMode
enum
, (such asRoundingMode.HALF_UP
) should be used instead.
When aMathContext
object is supplied with a precision setting of 0 (for example,MathContext.UNLIMITED
), arithmetic operations are exact, as are the arithmetic methods which take noMathContext
object. (This is the only behavior that was supported in releases prior to 5.) As a corollary of computing the exact result, the rounding mode setting of aMathContext
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, anArithmeticException
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 ofBigDecimal
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, which were mandatory for division inBigDecimal
releases prior to 5. Any conflicts between these ANSI standards and theBigDecimal
specification are resolved in favor ofBigDecimal
.
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.
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) than the number of digits returned. First, the total number of digits to return is specified by theMathContext
'sprecision
setting; this determines the result'sprecision. 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 100×101. In such cases, the new "1" is the leading digit position of the returned result.
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.
Operation | Preferred Scale of Result |
---|---|
Add | max(addend.scale(), augend.scale()) |
Subtract | max(minuend.scale(), subtrahend.scale()) |
Multiply | multiplier.scale() + multiplicand.scale() |
Divide | dividend.scale() - divisor.scale() |
1/32
is0.03125
.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 inprecision
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 theprecision
digits actually returned. If the exact result can be represented with at mostprecision
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 thanprecision
digits by removing trailing zeros and decreasing the scale. For example, rounding to three digits using thefloor rounding mode,19/100 = 0.19 // integer=19, scale=2
but21/110 = 0.190 // integer=190, scale=3
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 thepow
method using thespecified algorithm can occasionally differ from the rounded mathematical result by more than one unit in the last place, oneulp.
Two types of operations are provided for manipulating the scale of aBigDecimal
: scaling/rounding operations and decimal point motion operations. Scaling/rounding operations (setScale
andround
) return aBigDecimal
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
andmovePointRight
) return aBigDecimal
created from the operand by moving the decimal point a specified distance in the specified direction.
For the sake of brevity and clarity, pseudo-code is used throughout the descriptions ofBigDecimal
methods. The pseudo-code expression(i + j)
is shorthand for "aBigDecimal
whose value is that of theBigDecimal
i
added to that of theBigDecimal
j
." The pseudo-code expression(i == j)
is shorthand for "true
if and only if theBigDecimal
i
represents the same value as theBigDecimal
j
." Other pseudo-code expressions are interpreted similarly. Square brackets are used to represent the particularBigInteger
and scale pair defining aBigDecimal
value; for example [19, 2] is theBigDecimal
numerically equal to 0.19 having a scale of 2.
Note: care should be exercised ifBigDecimal
objects are used as keys in aSortedMap
or elements in aSortedSet
sinceBigDecimal
'snatural ordering isinconsistent with equals. SeeComparable
,SortedMap
orSortedSet
for more information.
All methods and constructors for this class throwNullPointerException
when passed anull
object reference for any input parameter.
Modifier and Type | Field and Description |
---|---|
staticBigDecimal | ONE The value 1, with a scale of 0. |
static int | ROUND_CEILING Rounding mode to round towards positive infinity. |
static int | ROUND_DOWN Rounding mode to round towards zero. |
static int | ROUND_FLOOR Rounding mode to round towards negative infinity. |
static int | ROUND_HALF_DOWN Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round down. |
static int | ROUND_HALF_EVEN Rounding mode to round towards the "nearest neighbor" unless both neighbors are equidistant, in which case, round towards the even neighbor. |
static int | ROUND_HALF_UP Rounding mode to round towards "nearest neighbor" unless both neighbors are equidistant, in which case round up. |
static int | ROUND_UNNECESSARY Rounding mode to assert that the requested operation has an exact result, hence no rounding is necessary. |
static int | ROUND_UP Rounding mode to round away from zero. |
staticBigDecimal | TEN The value 10, with a scale of 0. |
staticBigDecimal | ZERO The value 0, with a scale of 0. |
Constructor and Description |
---|
BigDecimal(BigInteger val) Translates a BigInteger into aBigDecimal . |
BigDecimal(BigInteger unscaledVal, int scale) Translates a BigInteger unscaled value and anint scale into aBigDecimal . |
BigDecimal(BigInteger unscaledVal, int scale,MathContext mc) Translates a BigInteger unscaled value and anint scale into aBigDecimal , with rounding according to the context settings. |
BigDecimal(BigInteger val,MathContext mc) Translates a BigInteger into aBigDecimal rounding according to the context settings. |
BigDecimal(char[] in) Translates a character array representation of a BigDecimal into aBigDecimal , accepting the same sequence of characters as theBigDecimal(String) constructor. |
BigDecimal(char[] in, int offset, int len) Translates a character array representation of a BigDecimal into aBigDecimal , accepting the same sequence of characters as theBigDecimal(String) constructor, while allowing a sub-array to be specified. |
BigDecimal(char[] in, int offset, int len,MathContext mc) Translates a character array representation of a BigDecimal into aBigDecimal , accepting the same sequence of characters as theBigDecimal(String) constructor, while allowing a sub-array to be specified and with rounding according to the context settings. |
BigDecimal(char[] in,MathContext mc) Translates a character array representation of a BigDecimal into aBigDecimal , accepting the same sequence of characters as theBigDecimal(String) constructor and with rounding according to the context settings. |
BigDecimal(double val) Translates a double into aBigDecimal which is the exact decimal representation of thedouble 's binary floating-point value. |
BigDecimal(double val,MathContext mc) Translates a double into aBigDecimal , with rounding according to the context settings. |
BigDecimal(int val) Translates an int into aBigDecimal . |
BigDecimal(int val,MathContext mc) Translates an int into aBigDecimal , with rounding according to the context settings. |
BigDecimal(long val) Translates a long into aBigDecimal . |
BigDecimal(long val,MathContext mc) Translates a long into aBigDecimal , with rounding according to the context settings. |
BigDecimal(String val) Translates the string representation of a BigDecimal into aBigDecimal . |
BigDecimal(String val,MathContext mc) Translates the string representation of a BigDecimal into aBigDecimal , accepting the same strings as theBigDecimal(String) constructor, with rounding according to the context settings. |
Modifier and Type | Method and Description |
---|---|
BigDecimal | abs() Returns a BigDecimal whose value is the absolute value of thisBigDecimal , and whose scale isthis.scale() . |
BigDecimal | abs(MathContext mc) Returns a BigDecimal whose value is the absolute value of thisBigDecimal , with rounding according to the context settings. |
BigDecimal | add(BigDecimal augend) Returns a BigDecimal whose value is(this + augend) , and whose scale ismax(this.scale(), augend.scale()) . |
BigDecimal | add(BigDecimal augend,MathContext mc) Returns a BigDecimal whose value is(this + augend) , with rounding according to the context settings. |
byte | byteValueExact() Converts this BigDecimal to abyte , checking for lost information. |
int | compareTo(BigDecimal val) Compares this BigDecimal with the specifiedBigDecimal . |
BigDecimal | divide(BigDecimal divisor) Returns a BigDecimal whose value is(this / divisor) , and whose preferred scale is(this.scale() - divisor.scale()) ; if the exact quotient cannot be represented (because it has a non-terminating decimal expansion) anArithmeticException is thrown. |
BigDecimal | divide(BigDecimal divisor, int roundingMode) Returns a BigDecimal whose value is(this / divisor) , and whose scale isthis.scale() . |
BigDecimal | divide(BigDecimal divisor, int scale, int roundingMode) Returns a BigDecimal whose value is(this / divisor) , and whose scale is as specified. |
BigDecimal | divide(BigDecimal divisor, int scale,RoundingMode roundingMode) Returns a BigDecimal whose value is(this / divisor) , and whose scale is as specified. |
BigDecimal | divide(BigDecimal divisor,MathContext mc) Returns a BigDecimal whose value is(this / divisor) , with rounding according to the context settings. |
BigDecimal | divide(BigDecimal divisor,RoundingMode roundingMode) Returns a BigDecimal whose value is(this / divisor) , and whose scale isthis.scale() . |
BigDecimal[] | divideAndRemainder(BigDecimal divisor) Returns a two-element BigDecimal array containing the result ofdivideToIntegralValue followed by the result ofremainder on the two operands. |
BigDecimal[] | divideAndRemainder(BigDecimal divisor,MathContext mc) Returns a two-element BigDecimal array containing the result ofdivideToIntegralValue followed by the result ofremainder on the two operands calculated with rounding according to the context settings. |
BigDecimal | divideToIntegralValue(BigDecimal divisor) Returns a BigDecimal whose value is the integer part of the quotient(this / divisor) rounded down. |
BigDecimal | divideToIntegralValue(BigDecimal divisor,MathContext mc) Returns a BigDecimal whose value is the integer part of(this / divisor) . |
double | doubleValue() Converts this BigDecimal to adouble . |
boolean | equals(Object x) Compares this BigDecimal with the specifiedObject for equality. |
float | floatValue() Converts this BigDecimal to afloat . |
int | hashCode() Returns the hash code for this BigDecimal . |
int | intValue() Converts this BigDecimal to anint . |
int | intValueExact() Converts this BigDecimal to anint , checking for lost information. |
long | longValue() Converts this BigDecimal to along . |
long | longValueExact() Converts this BigDecimal to along , checking for lost information. |
BigDecimal | max(BigDecimal val) Returns the maximum of this BigDecimal andval . |
BigDecimal | min(BigDecimal val) Returns the minimum of this BigDecimal andval . |
BigDecimal | movePointLeft(int n) Returns a BigDecimal which is equivalent to this one with the decimal point movedn places to the left. |
BigDecimal | movePointRight(int n) Returns a BigDecimal which is equivalent to this one with the decimal point movedn places to the right. |
BigDecimal | multiply(BigDecimal multiplicand) Returns a BigDecimal whose value is(this × multiplicand), and whose scale is(this.scale() + multiplicand.scale()) . |
BigDecimal | multiply(BigDecimal multiplicand,MathContext mc) Returns a BigDecimal whose value is(this × multiplicand), with rounding according to the context settings. |
BigDecimal | negate() Returns a BigDecimal whose value is(-this) , and whose scale isthis.scale() . |
BigDecimal | negate(MathContext mc) Returns a BigDecimal whose value is(-this) , with rounding according to the context settings. |
BigDecimal | plus() Returns a BigDecimal whose value is(+this) , and whose scale isthis.scale() . |
BigDecimal | plus(MathContext mc) Returns a BigDecimal whose value is(+this) , with rounding according to the context settings. |
BigDecimal | pow(int n) Returns a BigDecimal whose value is(thisn), The power is computed exactly, to unlimited precision. |
BigDecimal | pow(int n,MathContext mc) Returns a BigDecimal whose value is(thisn). |
int | precision() Returns theprecision of this BigDecimal . |
BigDecimal | remainder(BigDecimal divisor) Returns a BigDecimal whose value is(this % divisor) . |
BigDecimal | remainder(BigDecimal divisor,MathContext mc) Returns a BigDecimal whose value is(this % divisor) , with rounding according to the context settings. |
BigDecimal | round(MathContext mc) Returns a BigDecimal rounded according to theMathContext settings. |
int | scale() Returns thescale of this BigDecimal . |
BigDecimal | scaleByPowerOfTen(int n) Returns a BigDecimal whose numerical value is equal to ( this * 10n). |
BigDecimal | setScale(int newScale) Returns a BigDecimal whose scale is the specified value, and whose value is numerically equal to thisBigDecimal 's. |
BigDecimal | setScale(int newScale, int roundingMode) Returns a BigDecimal whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal 's unscaled value by the appropriate power of ten to maintain its overall value. |
BigDecimal | setScale(int newScale,RoundingMode roundingMode) Returns a BigDecimal whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal 's unscaled value by the appropriate power of ten to maintain its overall value. |
short | shortValueExact() Converts this BigDecimal to ashort , checking for lost information. |
int | signum() Returns the signum function of this BigDecimal . |
BigDecimal | stripTrailingZeros() Returns a BigDecimal which is numerically equal to this one but with any trailing zeros removed from the representation. |
BigDecimal | subtract(BigDecimal subtrahend) Returns a BigDecimal whose value is(this - subtrahend) , and whose scale ismax(this.scale(), subtrahend.scale()) . |
BigDecimal | subtract(BigDecimal subtrahend,MathContext mc) Returns a BigDecimal whose value is(this - subtrahend) , with rounding according to the context settings. |
BigInteger | toBigInteger() Converts this BigDecimal to aBigInteger . |
BigInteger | toBigIntegerExact() Converts this BigDecimal to aBigInteger , checking for lost information. |
String | toEngineeringString() Returns a string representation of this BigDecimal , using engineering notation if an exponent is needed. |
String | toPlainString() Returns a string representation of this BigDecimal without an exponent field. |
String | toString() Returns the string representation of this BigDecimal , using scientific notation if an exponent is needed. |
BigDecimal | ulp() Returns the size of an ulp, a unit in the last place, of this BigDecimal . |
BigInteger | unscaledValue() Returns a BigInteger whose value is theunscaled value of thisBigDecimal . |
staticBigDecimal | valueOf(double val) Translates a double into aBigDecimal , using thedouble 's canonical string representation provided by theDouble.toString(double) method. |
staticBigDecimal | valueOf(long val) Translates a long value into aBigDecimal with a scale of zero. |
staticBigDecimal | valueOf(long unscaledVal, int scale) Translates a long unscaled value and anint scale into aBigDecimal . |
byteValue,shortValue
public static final BigDecimal ZERO
public static final BigDecimal ONE
public static final BigDecimal TEN
public static final int ROUND_UP
public static final int ROUND_DOWN
public static final int ROUND_CEILING
BigDecimal
is positive, behaves as forROUND_UP
; if negative, behaves as forROUND_DOWN
. Note that this rounding mode never decreases the calculated value.public static final int ROUND_FLOOR
BigDecimal
is positive, behave as forROUND_DOWN
; if negative, behave as forROUND_UP
. Note that this rounding mode never increases the calculated value.public static final int ROUND_HALF_UP
ROUND_UP
if the discarded fraction is ≥ 0.5; otherwise, behaves as forROUND_DOWN
. Note that this is the rounding mode that most of us were taught in grade school.public static final int ROUND_HALF_DOWN
ROUND_UP
if the discarded fraction is > 0.5; otherwise, behaves as forROUND_DOWN
.public static final int ROUND_HALF_EVEN
ROUND_HALF_UP
if the digit to the left of the discarded fraction is odd; behaves as forROUND_HALF_DOWN
if it's even. Note that this is the rounding mode that minimizes cumulative error when applied repeatedly over a sequence of calculations.public static final int ROUND_UNNECESSARY
ArithmeticException
is thrown.public BigDecimal(char[] in, int offset, int len)
BigDecimal
into aBigDecimal
, accepting the same sequence of characters as theBigDecimal(String)
constructor, while allowing a sub-array to be specified.Note that if the sequence of characters is already available within a character array, using this constructor is faster than converting thechar
array to string and using theBigDecimal(String)
constructor .
in
-char
array that is the source of characters.offset
- first character in the array to inspect.len
- number of characters to consider.NumberFormatException
- ifin
is not a valid representation of aBigDecimal
or the defined subarray is not wholly withinin
.public BigDecimal(char[] in, int offset, int len,MathContext mc)
BigDecimal
into aBigDecimal
, accepting the same sequence of characters as theBigDecimal(String)
constructor, while allowing a sub-array to be specified and with rounding according to the context settings.Note that if the sequence of characters is already available within a character array, using this constructor is faster than converting thechar
array to string and using theBigDecimal(String)
constructor .
in
-char
array that is the source of characters.offset
- first character in the array to inspect.len
- number of characters to consider..mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.NumberFormatException
- ifin
is not a valid representation of aBigDecimal
or the defined subarray is not wholly withinin
.public BigDecimal(char[] in)
BigDecimal
into aBigDecimal
, accepting the same sequence of characters as theBigDecimal(String)
constructor.Note that if the sequence of characters is already available as a character array, using this constructor is faster than converting thechar
array to string and using theBigDecimal(String)
constructor .
in
-char
array that is the source of characters.NumberFormatException
- ifin
is not a valid representation of aBigDecimal
.public BigDecimal(char[] in,MathContext mc)
BigDecimal
into aBigDecimal
, accepting the same sequence of characters as theBigDecimal(String)
constructor and with rounding according to the context settings.Note that if the sequence of characters is already available as a character array, using this constructor is faster than converting thechar
array to string and using theBigDecimal(String)
constructor .
in
-char
array that is the source of characters.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.NumberFormatException
- ifin
is not a valid representation of aBigDecimal
.public BigDecimal(String val)
BigDecimal
into aBigDecimal
. The string representation consists of an optional sign,'+'
( '\u002B') or'-'
('\u002D'), followed by a sequence of zero or more decimal digits ("the integer"), optionally followed by a fraction, optionally followed by an exponent.The fraction consists of a decimal point followed by zero or more decimal digits. The string must contain at least one digit in either the integer or the fraction. The number formed by the sign, the integer and the fraction is referred to as thesignificand.
The exponent consists of the character'e'
('\u0065') or'E'
('\u0045') followed by one or more decimal digits. The value of the exponent must lie between -Integer.MAX_VALUE
(Integer.MIN_VALUE
+1) andInteger.MAX_VALUE
, inclusive.
More formally, the strings this constructor accepts are described by the following grammar:
- BigDecimalString:
- Signopt Significand Exponentopt
- Sign:
+
-
- Significand:
- IntegerPart
.
FractionPartopt.
FractionPart- IntegerPart
- IntegerPart:
- Digits
- FractionPart:
- Digits
- Exponent:
- ExponentIndicator SignedInteger
- ExponentIndicator:
e
E
- SignedInteger:
- Signopt Digits
- Digits:
- Digit
- Digits Digit
- Digit:
- any character for which
Character.isDigit(char)
returnstrue
, including 0, 1, 2 ...
The scale of the returnedBigDecimal
will be the number of digits in the fraction, or zero if the string contains no decimal point, subject to adjustment for any exponent; if the string contains an exponent, the exponent is subtracted from the scale. The value of the resulting scale must lie betweenInteger.MIN_VALUE
andInteger.MAX_VALUE
, inclusive.
The character-to-digit mapping is provided byCharacter.digit(char, int)
set to convert to radix 10. The String may not contain any extraneous characters (whitespace, for example).
Examples:
The value of the returnedBigDecimal
is equal tosignificand × 10 exponent. For each string on the left, the resulting representation [BigInteger
,scale
] is shown on the right.
"0" [0,0] "0.00" [0,2] "123" [123,0] "-123" [-123,0] "1.23E3" [123,-1] "1.23E+3" [123,-1] "12.3E+7" [123,-6] "12.0" [120,1] "12.3" [123,1] "0.00123" [123,5] "-1.23E-12" [-123,14] "1234.5E-4" [12345,5] "0E+7" [0,-7] "-0" [0,0]
Note: For values other thanfloat
anddouble
NaN and ±Infinity, this constructor is compatible with the values returned byFloat.toString(float)
andDouble.toString(double)
. This is generally the preferred way to convert afloat
ordouble
into a BigDecimal, as it doesn't suffer from the unpredictability of theBigDecimal(double)
constructor.
val
- String representation ofBigDecimal
.NumberFormatException
- ifval
is not a valid representation of aBigDecimal
.public BigDecimal(String val,MathContext mc)
BigDecimal
into aBigDecimal
, accepting the same strings as theBigDecimal(String)
constructor, with rounding according to the context settings.val
- string representation of aBigDecimal
.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.NumberFormatException
- ifval
is not a valid representation of a BigDecimal.public BigDecimal(double val)
double
into aBigDecimal
which is the exact decimal representation of thedouble
's binary floating-point value. The scale of the returnedBigDecimal
is the smallest value such that(10scale × val) is an integer.Notes:
new BigDecimal(0.1)
in Java creates aBigDecimal
which is exactly equal to 0.1 (an unscaled value of 1, with a scale of 1), but it is actually equal to 0.1000000000000000055511151231257827021181583404541015625. This is because 0.1 cannot be represented exactly as adouble
(or, for that matter, as a binary fraction of any finite length). Thus, the value that is being passedin to the constructor is not exactly equal to 0.1, appearances notwithstanding.String
constructor, on the other hand, is perfectly predictable: writingnew BigDecimal("0.1")
creates aBigDecimal
which isexactly equal to 0.1, as one would expect. Therefore, it is generally recommended that theString constructor be used in preference to this one.double
must be used as a source for aBigDecimal
, note that this constructor provides an exact conversion; it does not give the same result as converting thedouble
to aString
using theDouble.toString(double)
method and then using theBigDecimal(String)
constructor. To get that result, use thestatic
valueOf(double)
method.val
-double
value to be converted toBigDecimal
.NumberFormatException
- ifval
is infinite or NaN.public BigDecimal(double val,MathContext mc)
double
into aBigDecimal
, with rounding according to the context settings. The scale of theBigDecimal
is the smallest value such that(10scale × val) is an integer.The results of this constructor can be somewhat unpredictable and its use is generally not recommended; see the notes under theBigDecimal(double)
constructor.
val
-double
value to be converted toBigDecimal
.mc
- the context to use.ArithmeticException
- if the result is inexact but the RoundingMode is UNNECESSARY.NumberFormatException
- ifval
is infinite or NaN.public BigDecimal(BigInteger val)
BigInteger
into aBigDecimal
. The scale of theBigDecimal
is zero.val
-BigInteger
value to be converted toBigDecimal
.public BigDecimal(BigInteger val,MathContext mc)
BigInteger
into aBigDecimal
rounding according to the context settings. The scale of theBigDecimal
is zero.val
-BigInteger
value to be converted toBigDecimal
.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal(BigInteger unscaledVal, int scale)
BigInteger
unscaled value and anint
scale into aBigDecimal
. The value of theBigDecimal
is(unscaledVal × 10-scale).unscaledVal
- unscaled value of theBigDecimal
.scale
- scale of theBigDecimal
.public BigDecimal(BigInteger unscaledVal, int scale,MathContext mc)
BigInteger
unscaled value and anint
scale into aBigDecimal
, with rounding according to the context settings. The value of theBigDecimal
is(unscaledVal × 10-scale), rounded according to theprecision
and rounding mode settings.unscaledVal
- unscaled value of theBigDecimal
.scale
- scale of theBigDecimal
.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal(int val)
int
into aBigDecimal
. The scale of theBigDecimal
is zero.val
-int
value to be converted toBigDecimal
.public BigDecimal(int val,MathContext mc)
int
into aBigDecimal
, with rounding according to the context settings. The scale of theBigDecimal
, before any rounding, is zero.val
-int
value to be converted toBigDecimal
.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal(long val)
long
into aBigDecimal
. The scale of theBigDecimal
is zero.val
-long
value to be converted toBigDecimal
.public BigDecimal(long val,MathContext mc)
long
into aBigDecimal
, with rounding according to the context settings. The scale of theBigDecimal
, before any rounding, is zero.val
-long
value to be converted toBigDecimal
.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public static BigDecimal valueOf(long unscaledVal, int scale)
long
unscaled value and anint
scale into aBigDecimal
. This "static factory method" is provided in preference to a (long
,int
) constructor because it allows for reuse of frequently usedBigDecimal
values..unscaledVal
- unscaled value of theBigDecimal
.scale
- scale of theBigDecimal
.BigDecimal
whose value is(unscaledVal × 10-scale).public static BigDecimal valueOf(long val)
long
value into aBigDecimal
with a scale of zero. This "static factory method" is provided in preference to a (long
) constructor because it allows for reuse of frequently usedBigDecimal
values.val
- value of theBigDecimal
.BigDecimal
whose value isval
.public static BigDecimal valueOf(double val)
double
into aBigDecimal
, using thedouble
's canonical string representation provided by theDouble.toString(double)
method.Note: This is generally the preferred way to convert adouble
(orfloat
) into aBigDecimal
, as the value returned is equal to that resulting from constructing aBigDecimal
from the result of usingDouble.toString(double)
.
val
-double
to convert to aBigDecimal
.BigDecimal
whose value is equal to or approximately equal to the value ofval
.NumberFormatException
- ifval
is infinite or NaN.public BigDecimal add(BigDecimal augend)
BigDecimal
whose value is(this + augend)
, and whose scale ismax(this.scale(), augend.scale())
.augend
- value to be added to thisBigDecimal
.this + augend
public BigDecimal add(BigDecimal augend,MathContext mc)
BigDecimal
whose value is(this + augend)
, with rounding according to the context settings. If either number is zero and the precision setting is nonzero then the other number, rounded if necessary, is used as the result.augend
- value to be added to thisBigDecimal
.mc
- the context to use.this + augend
, rounded as necessary.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal subtract(BigDecimal subtrahend)
BigDecimal
whose value is(this - subtrahend)
, and whose scale ismax(this.scale(), subtrahend.scale())
.subtrahend
- value to be subtracted from thisBigDecimal
.this - subtrahend
public BigDecimal subtract(BigDecimal subtrahend,MathContext mc)
BigDecimal
whose value is(this - subtrahend)
, with rounding according to the context settings. Ifsubtrahend
is zero then this, rounded if necessary, is used as the result. If this is zero then the result issubtrahend.negate(mc)
.subtrahend
- value to be subtracted from thisBigDecimal
.mc
- the context to use.this - subtrahend
, rounded as necessary.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal multiply(BigDecimal multiplicand)
BigDecimal
whose value is(this × multiplicand), and whose scale is(this.scale() + multiplicand.scale())
.multiplicand
- value to be multiplied by thisBigDecimal
.this * multiplicand
public BigDecimal multiply(BigDecimal multiplicand,MathContext mc)
BigDecimal
whose value is(this × multiplicand), with rounding according to the context settings.multiplicand
- value to be multiplied by thisBigDecimal
.mc
- the context to use.this * multiplicand
, rounded as necessary.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal divide(BigDecimal divisor, int scale, int roundingMode)
BigDecimal
whose value is(this / divisor)
, and whose scale is as specified. If rounding must be performed to generate a result with the specified scale, the specified rounding mode is applied.The newdivide(BigDecimal, int, RoundingMode)
method should be used in preference to this legacy method.
divisor
- value by which thisBigDecimal
is to be divided.scale
- scale of theBigDecimal
quotient to be returned.roundingMode
- rounding mode to apply.this / divisor
ArithmeticException
- ifdivisor
is zero,roundingMode==ROUND_UNNECESSARY
and the specified scale is insufficient to represent the result of the division exactly.IllegalArgumentException
- ifroundingMode
does not represent a valid rounding mode.ROUND_UP
,ROUND_DOWN
,ROUND_CEILING
,ROUND_FLOOR
,ROUND_HALF_UP
,ROUND_HALF_DOWN
,ROUND_HALF_EVEN
,ROUND_UNNECESSARY
public BigDecimal divide(BigDecimal divisor, int scale,RoundingMode roundingMode)
BigDecimal
whose value is(this / divisor)
, and whose scale is as specified. If rounding must be performed to generate a result with the specified scale, the specified rounding mode is applied.divisor
- value by which thisBigDecimal
is to be divided.scale
- scale of theBigDecimal
quotient to be returned.roundingMode
- rounding mode to apply.this / divisor
ArithmeticException
- ifdivisor
is zero,roundingMode==RoundingMode.UNNECESSARY
and the specified scale is insufficient to represent the result of the division exactly.public BigDecimal divide(BigDecimal divisor, int roundingMode)
BigDecimal
whose value is(this / divisor)
, and whose scale isthis.scale()
. If rounding must be performed to generate a result with the given scale, the specified rounding mode is applied.The newdivide(BigDecimal, RoundingMode)
method should be used in preference to this legacy method.
divisor
- value by which thisBigDecimal
is to be divided.roundingMode
- rounding mode to apply.this / divisor
ArithmeticException
- ifdivisor==0
, orroundingMode==ROUND_UNNECESSARY
andthis.scale()
is insufficient to represent the result of the division exactly.IllegalArgumentException
- ifroundingMode
does not represent a valid rounding mode.ROUND_UP
,ROUND_DOWN
,ROUND_CEILING
,ROUND_FLOOR
,ROUND_HALF_UP
,ROUND_HALF_DOWN
,ROUND_HALF_EVEN
,ROUND_UNNECESSARY
public BigDecimal divide(BigDecimal divisor,RoundingMode roundingMode)
BigDecimal
whose value is(this / divisor)
, and whose scale isthis.scale()
. If rounding must be performed to generate a result with the given scale, the specified rounding mode is applied.divisor
- value by which thisBigDecimal
is to be divided.roundingMode
- rounding mode to apply.this / divisor
ArithmeticException
- ifdivisor==0
, orroundingMode==RoundingMode.UNNECESSARY
andthis.scale()
is insufficient to represent the result of the division exactly.public BigDecimal divide(BigDecimal divisor)
BigDecimal
whose value is(this / divisor)
, and whose preferred scale is(this.scale() - divisor.scale())
; if the exact quotient cannot be represented (because it has a non-terminating decimal expansion) anArithmeticException
is thrown.divisor
- value by which thisBigDecimal
is to be divided.this / divisor
ArithmeticException
- if the exact quotient does not have a terminating decimal expansionpublic BigDecimal divide(BigDecimal divisor,MathContext mc)
BigDecimal
whose value is(this / divisor)
, with rounding according to the context settings.divisor
- value by which thisBigDecimal
is to be divided.mc
- the context to use.this / divisor
, rounded as necessary.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
ormc.precision == 0
and the quotient has a non-terminating decimal expansion.public BigDecimal divideToIntegralValue(BigDecimal divisor)
BigDecimal
whose value is the integer part of the quotient(this / divisor)
rounded down. The preferred scale of the result is(this.scale() - divisor.scale())
.divisor
- value by which thisBigDecimal
is to be divided.this / divisor
.ArithmeticException
- ifdivisor==0
public BigDecimal divideToIntegralValue(BigDecimal divisor,MathContext mc)
BigDecimal
whose value is the integer part of(this / divisor)
. Since the integer part of the exact quotient does not depend on the rounding mode, the rounding mode does not affect the values returned by this method. The preferred scale of the result is(this.scale() - divisor.scale())
. AnArithmeticException
is thrown if the integer part of the exact quotient needs more thanmc.precision
digits.divisor
- value by which thisBigDecimal
is to be divided.mc
- the context to use.this / divisor
.ArithmeticException
- ifdivisor==0
ArithmeticException
- ifmc.precision
> 0 and the result requires a precision of more thanmc.precision
digits.public BigDecimal remainder(BigDecimal divisor)
BigDecimal
whose value is(this % divisor)
.The remainder is given bythis.subtract(this.divideToIntegralValue(divisor).multiply(divisor))
. Note that this is not the modulo operation (the result can be negative).
divisor
- value by which thisBigDecimal
is to be divided.this % divisor
.ArithmeticException
- ifdivisor==0
public BigDecimal remainder(BigDecimal divisor,MathContext mc)
BigDecimal
whose value is(this % divisor)
, with rounding according to the context settings. TheMathContext
settings affect the implicit divide used to compute the remainder. The remainder computation itself is by definition exact. Therefore, the remainder may contain more thanmc.getPrecision()
digits.The remainder is given bythis.subtract(this.divideToIntegralValue(divisor, mc).multiply(divisor))
. Note that this is not the modulo operation (the result can be negative).
divisor
- value by which thisBigDecimal
is to be divided.mc
- the context to use.this % divisor
, rounded as necessary.ArithmeticException
- ifdivisor==0
ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
, ormc.precision
> 0 and the result ofthis.divideToIntgralValue(divisor)
would require a precision of more thanmc.precision
digits.divideToIntegralValue(java.math.BigDecimal, java.math.MathContext)
public BigDecimal[] divideAndRemainder(BigDecimal divisor)
BigDecimal
array containing the result ofdivideToIntegralValue
followed by the result ofremainder
on the two operands.Note that if both the integer quotient and remainder are needed, this method is faster than using thedivideToIntegralValue
andremainder
methods separately because the division need only be carried out once.
divisor
- value by which thisBigDecimal
is to be divided, and the remainder computed.BigDecimal
array: the quotient (the result ofdivideToIntegralValue
) is the initial element and the remainder is the final element.ArithmeticException
- ifdivisor==0
divideToIntegralValue(java.math.BigDecimal, java.math.MathContext)
,remainder(java.math.BigDecimal, java.math.MathContext)
public BigDecimal[] divideAndRemainder(BigDecimal divisor,MathContext mc)
BigDecimal
array containing the result ofdivideToIntegralValue
followed by the result ofremainder
on the two operands calculated with rounding according to the context settings.Note that if both the integer quotient and remainder are needed, this method is faster than using thedivideToIntegralValue
andremainder
methods separately because the division need only be carried out once.
divisor
- value by which thisBigDecimal
is to be divided, and the remainder computed.mc
- the context to use.BigDecimal
array: the quotient (the result ofdivideToIntegralValue
) is the initial element and the remainder is the final element.ArithmeticException
- ifdivisor==0
ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
, ormc.precision
> 0 and the result ofthis.divideToIntgralValue(divisor)
would require a precision of more thanmc.precision
digits.divideToIntegralValue(java.math.BigDecimal, java.math.MathContext)
,remainder(java.math.BigDecimal, java.math.MathContext)
public BigDecimal pow(int n)
BigDecimal
whose value is(thisn), The power is computed exactly, to unlimited precision.The parametern
must be in the range 0 through 999999999, inclusive.ZERO.pow(0)
returnsONE
. Note that future releases may expand the allowable exponent range of this method.
n
- power to raise thisBigDecimal
to.ArithmeticException
- ifn
is out of range.public BigDecimal pow(int n,MathContext mc)
BigDecimal
whose value is(thisn). The current implementation uses the core algorithm defined in ANSI standard X3.274-1996 with rounding according to the context settings. In general, the returned numerical value is within two ulps of the exact numerical value for the chosen precision. Note that future releases may use a different algorithm with a decreased allowable error bound and increased allowable exponent range.The X3.274-1996 algorithm is:
ArithmeticException
exception is thrown ifabs(n) > 999999999
mc.precision == 0
andn < 0
mc.precision > 0
andn
has more thanmc.precision
decimal digitsn
is zero,ONE
is returned even ifthis
is zero, otherwisen
is positive, the result is calculated via the repeated squaring technique into a single accumulator. The individual multiplications with the accumulator use the same math context settings as inmc
except for a precision increased tomc.precision + elength + 1
whereelength
is the number of decimal digits inn
.n
is negative, the result is calculated as ifn
were positive; this value is then divided into one using the working precision specified above.n
- power to raise thisBigDecimal
to.mc
- the context to use.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
, orn
is out of range.public BigDecimal abs()
BigDecimal
whose value is the absolute value of thisBigDecimal
, and whose scale isthis.scale()
.abs(this)
public BigDecimal abs(MathContext mc)
BigDecimal
whose value is the absolute value of thisBigDecimal
, with rounding according to the context settings.mc
- the context to use.abs(this)
, rounded as necessary.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal negate()
BigDecimal
whose value is(-this)
, and whose scale isthis.scale()
.-this
.public BigDecimal negate(MathContext mc)
BigDecimal
whose value is(-this)
, with rounding according to the context settings.mc
- the context to use.-this
, rounded as necessary.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.public BigDecimal plus()
BigDecimal
whose value is(+this)
, and whose scale isthis.scale()
.This method, which simply returns thisBigDecimal
is included for symmetry with the unary minus methodnegate()
.
this
.negate()
public BigDecimal plus(MathContext mc)
BigDecimal
whose value is(+this)
, with rounding according to the context settings.The effect of this method is identical to that of theround(MathContext)
method.
mc
- the context to use.this
, rounded as necessary. A zero result will have a scale of 0.ArithmeticException
- if the result is inexact but the rounding mode isUNNECESSARY
.round(MathContext)
public int signum()
BigDecimal
.BigDecimal
is negative, zero, or positive.public int scale()
BigDecimal
. 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. For example, a scale of-3
means the unscaled value is multiplied by 1000.BigDecimal
.public int precision()
BigDecimal
. (The precision is the number of digits in the unscaled value.)The precision of a zero value is 1.
BigDecimal
.public BigInteger unscaledValue()
BigInteger
whose value is theunscaled value of thisBigDecimal
. (Computes(this * 10this.scale()).)BigDecimal
.public BigDecimal round(MathContext mc)
BigDecimal
rounded according to theMathContext
settings. If the precision setting is 0 then no rounding takes place.The effect of this method is identical to that of theplus(MathContext)
method.
mc
- the context to use.BigDecimal
rounded according to theMathContext
settings.ArithmeticException
- if the rounding mode isUNNECESSARY
and theBigDecimal
operation would require rounding.plus(MathContext)
public BigDecimal setScale(int newScale,RoundingMode roundingMode)
BigDecimal
whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal
's unscaled value by the appropriate power of ten to maintain its overall value. If the scale is reduced by the operation, the unscaled value must be divided (rather than multiplied), and the value may be changed; in this case, the specified rounding mode is applied to the division.Note that since BigDecimal objects are immutable, calls of this method donot result in the original object being modified, contrary to the usual convention of having methods namedsetX mutate fieldX
. Instead,setScale
returns an object with the proper scale; the returned object may or may not be newly allocated.
newScale
- scale of theBigDecimal
value to be returned.roundingMode
- The rounding mode to apply.BigDecimal
whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal
's unscaled value by the appropriate power of ten to maintain its overall value.ArithmeticException
- ifroundingMode==UNNECESSARY
and the specified scaling operation would require rounding.RoundingMode
public BigDecimal setScale(int newScale, int roundingMode)
BigDecimal
whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal
's unscaled value by the appropriate power of ten to maintain its overall value. If the scale is reduced by the operation, the unscaled value must be divided (rather than multiplied), and the value may be changed; in this case, the specified rounding mode is applied to the division.Note that since BigDecimal objects are immutable, calls of this method donot result in the original object being modified, contrary to the usual convention of having methods namedsetX mutate fieldX
. Instead,setScale
returns an object with the proper scale; the returned object may or may not be newly allocated.
The newsetScale(int, RoundingMode)
method should be used in preference to this legacy method.
newScale
- scale of theBigDecimal
value to be returned.roundingMode
- The rounding mode to apply.BigDecimal
whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal
's unscaled value by the appropriate power of ten to maintain its overall value.ArithmeticException
- ifroundingMode==ROUND_UNNECESSARY
and the specified scaling operation would require rounding.IllegalArgumentException
- ifroundingMode
does not represent a valid rounding mode.ROUND_UP
,ROUND_DOWN
,ROUND_CEILING
,ROUND_FLOOR
,ROUND_HALF_UP
,ROUND_HALF_DOWN
,ROUND_HALF_EVEN
,ROUND_UNNECESSARY
public BigDecimal setScale(int newScale)
BigDecimal
whose scale is the specified value, and whose value is numerically equal to thisBigDecimal
's. Throws anArithmeticException
if this is not possible.This call is typically used to increase the scale, in which case it is guaranteed that there exists aBigDecimal
of the specified scale and the correct value. The call can also be used to reduce the scale if the caller knows that theBigDecimal
has sufficiently many zeros at the end of its fractional part (i.e., factors of ten in its integer value) to allow for the rescaling without changing its value.
This method returns the same result as the two-argument versions ofsetScale
, but saves the caller the trouble of specifying a rounding mode in cases where it is irrelevant.
Note that sinceBigDecimal
objects are immutable, calls of this method donot result in the original object being modified, contrary to the usual convention of having methods namedsetX mutate fieldX
. Instead,setScale
returns an object with the proper scale; the returned object may or may not be newly allocated.
newScale
- scale of theBigDecimal
value to be returned.BigDecimal
whose scale is the specified value, and whose unscaled value is determined by multiplying or dividing thisBigDecimal
's unscaled value by the appropriate power of ten to maintain its overall value.ArithmeticException
- if the specified scaling operation would require rounding.setScale(int, int)
,setScale(int, RoundingMode)
public BigDecimal movePointLeft(int n)
BigDecimal
which is equivalent to this one with the decimal point movedn
places to the left. Ifn
is non-negative, the call merely addsn
to the scale. Ifn
is negative, the call is equivalent tomovePointRight(-n)
. TheBigDecimal
returned by this call has value(this × 10-n) and scalemax(this.scale()+n, 0)
.n
- number of places to move the decimal point to the left.BigDecimal
which is equivalent to this one with the decimal point movedn
places to the left.ArithmeticException
- if scale overflows.public BigDecimal movePointRight(int n)
BigDecimal
which is equivalent to this one with the decimal point movedn
places to the right. Ifn
is non-negative, the call merely subtractsn
from the scale. Ifn
is negative, the call is equivalent tomovePointLeft(-n)
. TheBigDecimal
returned by this call has value(this × 10n) and scalemax(this.scale()-n, 0)
.n
- number of places to move the decimal point to the right.BigDecimal
which is equivalent to this one with the decimal point movedn
places to the right.ArithmeticException
- if scale overflows.public BigDecimal scaleByPowerOfTen(int n)
this
* 10n). The scale of the result is(this.scale() - n)
.ArithmeticException
- if the scale would be outside the range of a 32-bit integer.public BigDecimal stripTrailingZeros()
BigDecimal
which is numerically equal to this one but with any trailing zeros removed from the representation. For example, stripping the trailing zeros from theBigDecimal
value600.0
, which has [BigInteger
,scale
] components equals to [6000, 1], yields6E2
with [BigInteger
,scale
] components equals to [6, -2]BigDecimal
with any trailing zeros removed.public int compareTo(BigDecimal val)
BigDecimal
with the specifiedBigDecimal
. TwoBigDecimal
objects that are equal in value but have a different scale (like 2.0 and 2.00) are considered equal by this method. This method is provided in preference to individual methods for each of the six boolean comparison operators (<, ==, >, >=, !=, <=). The suggested idiom for performing these comparisons is:(x.compareTo(y)
<op>0)
, where <op> is one of the six comparison operators.compareTo
in interface Comparable<BigDecimal>
val
-BigDecimal
to which thisBigDecimal
is to be compared.BigDecimal
is numerically less than, equal to, or greater thanval
.public boolean equals(Object x)
BigDecimal
with the specifiedObject
for equality. UnlikecompareTo
, this method considers twoBigDecimal
objects equal only if they are equal in value and scale (thus 2.0 is not equal to 2.00 when compared by this method).equals
in class Object
x
-Object
to which thisBigDecimal
is to be compared.true
if and only if the specifiedObject
is aBigDecimal
whose value and scale are equal to thisBigDecimal
's.compareTo(java.math.BigDecimal)
,hashCode()
public BigDecimal min(BigDecimal val)
BigDecimal
andval
.val
- value with which the minimum is to be computed.BigDecimal
whose value is the lesser of thisBigDecimal
andval
. If they are equal, as defined by thecompareTo
method,this
is returned.compareTo(java.math.BigDecimal)
public BigDecimal max(BigDecimal val)
BigDecimal
andval
.val
- value with which the maximum is to be computed.BigDecimal
whose value is the greater of thisBigDecimal
andval
. If they are equal, as defined by thecompareTo
method,this
is returned.compareTo(java.math.BigDecimal)
public int hashCode()
BigDecimal
. Note that twoBigDecimal
objects that are numerically equal but differ in scale (like 2.0 and 2.00) will generallynot have the same hash code.hashCode
in class Object
BigDecimal
.equals(Object)
public String toString()
BigDecimal
, using scientific notation if an exponent is needed.A standard canonical string form of theBigDecimal
is created as though by the following steps: first, the absolute value of the unscaled value of theBigDecimal
is converted to a string in base ten using the characters'0'
through'9'
with no leading zeros (except if its value is zero, in which case a single'0'
character is used).
Next, anadjusted exponent is calculated; this is the negated scale, plus the number of characters in the converted unscaled value, less one. That is,-scale+(ulength-1)
, whereulength
is the length of the absolute value of the unscaled value in decimal digits (itsprecision).
If the scale is greater than or equal to zero and the adjusted exponent is greater than or equal to-6
, the number will be converted to a character form without using exponential notation. In this case, if the scale is zero then no decimal point is added and if the scale is positive a decimal point will be inserted with the scale specifying the number of characters to the right of the decimal point.'0'
characters are added to the left of the converted unscaled value as necessary. If no character precedes the decimal point after this insertion then a conventional'0'
character is prefixed.
Otherwise (that is, if the scale is negative, or the adjusted exponent is less than-6
), the number will be converted to a character form using exponential notation. In this case, if the convertedBigInteger
has more than one digit a decimal point is inserted after the first digit. An exponent in character form is then suffixed to the converted unscaled value (perhaps with inserted decimal point); this comprises the letter'E'
followed immediately by the adjusted exponent converted to a character form. The latter is in base ten, using the characters'0'
through'9'
with no leading zeros, and is always prefixed by a sign character'-'
('\u002D') if the adjusted exponent is negative,'+'
('\u002B') otherwise).
Finally, the entire string is prefixed by a minus sign character'-'
('\u002D') if the unscaled value is less than zero. No sign character is prefixed if the unscaled value is zero or positive.
Examples:
For each representation [unscaled value,scale] on the left, the resulting string is shown on the right.
[123,0] "123" [-123,0] "-123" [123,-1] "1.23E+3" [123,-3] "1.23E+5" [123,1] "12.3" [123,5] "0.00123" [123,10] "1.23E-8" [-123,12] "-1.23E-10"Notes:
BigDecimal
values and the result of this conversion. That is, every distinguishableBigDecimal
value (unscaled value and scale) has a unique string representation as a result of usingtoString
. If that string representation is converted back to aBigDecimal
using theBigDecimal(String)
constructor, then the original value will be recovered.NumberFormat
class and its subclasses.toEngineeringString()
method may be used for presenting numbers with exponents in engineering notation, and thesetScale
method may be used for rounding aBigDecimal
so it has a known number of digits after the decimal point.Character.forDigit
is used.toString
in class Object
BigDecimal
.Character.forDigit(int, int)
,BigDecimal(java.lang.String)
public String toEngineeringString()
BigDecimal
, using engineering notation if an exponent is needed.Returns a string that represents theBigDecimal
as described in thetoString()
method, except that if exponential notation is used, the power of ten is adjusted to be a multiple of three (engineering notation) such that the integer part of nonzero values will be in the range 1 through 999. If exponential notation is used for zero values, a decimal point and one or two fractional zero digits are used so that the scale of the zero value is preserved. Note that unlike the output oftoString()
, the output of this method isnot guaranteed to recover the same [integer, scale] pair of thisBigDecimal
if the output string is converting back to aBigDecimal
using thestring constructor. The result of this method meets the weaker constraint of always producing a numerically equal result from applying the string constructor to the method's output.
BigDecimal
, using engineering notation if an exponent is needed.public String toPlainString()
BigDecimal
without an exponent field. For values with a positive scale, the number of digits to the right of the decimal point is used to indicate scale. For values with a zero or negative scale, the resulting string is generated as if the value were converted to a numerically equal value with zero scale and as if all the trailing zeros of the zero scale value were present in the result. The entire string is prefixed by a minus sign character '-' ('\u002D') if the unscaled value is less than zero. No sign character is prefixed if the unscaled value is zero or positive. Note that if the result of this method is passed to thestring constructor, only the numerical value of thisBigDecimal
will necessarily be recovered; the representation of the newBigDecimal
may have a different scale. In particular, if thisBigDecimal
has a negative scale, the string resulting from this method will have a scale of zero when processed by the string constructor. (This method behaves analogously to thetoString
method in 1.4 and earlier releases.)BigDecimal
without an exponent field.toString()
,toEngineeringString()
public BigInteger toBigInteger()
BigDecimal
to aBigInteger
. This conversion is analogous to thenarrowing primitive conversion fromdouble
tolong
as defined in section 5.1.3 ofThe Java™ Language Specification: any fractional part of thisBigDecimal
will be discarded. Note that this conversion can lose information about the precision of theBigDecimal
value. To have an exception thrown if the conversion is inexact (in other words if a nonzero fractional part is discarded), use thetoBigIntegerExact()
method.
BigDecimal
converted to aBigInteger
.public BigInteger toBigIntegerExact()
BigDecimal
to aBigInteger
, checking for lost information. An exception is thrown if thisBigDecimal
has a nonzero fractional part.BigDecimal
converted to aBigInteger
.ArithmeticException
- ifthis
has a nonzero fractional part.public long longValue()
BigDecimal
to along
. This conversion is analogous to thenarrowing primitive conversion fromdouble
toshort
as defined in section 5.1.3 ofThe Java™ Language Specification: any fractional part of thisBigDecimal
will be discarded, and if the resulting "BigInteger
" is too big to fit in along
, only the low-order 64 bits are returned. Note that this conversion can lose information about the overall magnitude and precision of thisBigDecimal
value as well as return a result with the opposite sign.public long longValueExact()
BigDecimal
to along
, checking for lost information. If thisBigDecimal
has a nonzero fractional part or is out of the possible range for along
result then anArithmeticException
is thrown.BigDecimal
converted to along
.ArithmeticException
- ifthis
has a nonzero fractional part, or will not fit in along
.public int intValue()
BigDecimal
to anint
. This conversion is analogous to thenarrowing primitive conversion fromdouble
toshort
as defined in section 5.1.3 ofThe Java™ Language Specification: any fractional part of thisBigDecimal
will be discarded, and if the resulting "BigInteger
" is too big to fit in anint
, only the low-order 32 bits are returned. Note that this conversion can lose information about the overall magnitude and precision of thisBigDecimal
value as well as return a result with the opposite sign.public int intValueExact()
BigDecimal
to anint
, checking for lost information. If thisBigDecimal
has a nonzero fractional part or is out of the possible range for anint
result then anArithmeticException
is thrown.BigDecimal
converted to anint
.ArithmeticException
- ifthis
has a nonzero fractional part, or will not fit in anint
.public short shortValueExact()
BigDecimal
to ashort
, checking for lost information. If thisBigDecimal
has a nonzero fractional part or is out of the possible range for ashort
result then anArithmeticException
is thrown.BigDecimal
converted to ashort
.ArithmeticException
- ifthis
has a nonzero fractional part, or will not fit in ashort
.public byte byteValueExact()
BigDecimal
to abyte
, checking for lost information. If thisBigDecimal
has a nonzero fractional part or is out of the possible range for abyte
result then anArithmeticException
is thrown.BigDecimal
converted to abyte
.ArithmeticException
- ifthis
has a nonzero fractional part, or will not fit in abyte
.public float floatValue()
BigDecimal
to afloat
. This conversion is similar to thenarrowing primitive conversion fromdouble
tofloat
as defined in section 5.1.3 ofThe Java™ Language Specification: if thisBigDecimal
has too great a magnitude to represent as afloat
, it will be converted toFloat.NEGATIVE_INFINITY
orFloat.POSITIVE_INFINITY
as appropriate. Note that even when the return value is finite, this conversion can lose information about the precision of theBigDecimal
value.floatValue
in class Number
BigDecimal
converted to afloat
.public double doubleValue()
BigDecimal
to adouble
. This conversion is similar to thenarrowing primitive conversion fromdouble
tofloat
as defined in section 5.1.3 ofThe Java™ Language Specification: if thisBigDecimal
has too great a magnitude represent as adouble
, it will be converted toDouble.NEGATIVE_INFINITY
orDouble.POSITIVE_INFINITY
as appropriate. Note that even when the return value is finite, this conversion can lose information about the precision of theBigDecimal
value.doubleValue
in class Number
BigDecimal
converted to adouble
.public BigDecimal ulp()
BigDecimal
. An ulp of a nonzeroBigDecimal
value is the positive distance between this value and theBigDecimal
value next larger in magnitude with the same number of digits. An ulp of a zero value is numerically equal to 1 with the scale ofthis
. The result is stored with the same scale asthis
so the result for zero and nonzero values is equal to[1, this.scale()]
.this