BigDecimal
  public
  
  
  
  class
  BigDecimal
  
  
  
  
    extends Number
  
  
  
  
  
      implements
      
        Comparable<BigDecimal>
      
  
  
| java.lang.Object | ||
| ↳ | java.lang.Number | |
| ↳ | java.math.BigDecimal | |
Immutable, arbitrary-precision signed decimal numbers.  A BigDecimal consists of an arbitrary precision integer
 unscaled value and a 32-bit
 integer 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-scale).
 
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
 rounding modes 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 natural order of BigDecimal
 considers members of the same cohort to be equal to each other. In
 contrast, the 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 100×101. 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 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.
| 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() | 
| Square root | radicand.scale()/2 | 
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 floor
 rounding mode, 
 19/100 = 0.19   // integer=19,  scale=2 
 but
 21/110 = 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 the pow method using the
 specified algorithm can
 occasionally differ from the rounded mathematical result by more
 than one unit in the last place, one 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 and 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 and
 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.
Summary
| Constants | |
|---|---|
| int | ROUND_CEILING
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_DOWN
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_FLOOR
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_HALF_DOWN
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_HALF_EVEN
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_HALF_UP
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_UNNECESSARY
      This constant was deprecated
      in API level 33.
    Use  | 
| int | ROUND_UP
      This constant was deprecated
      in API level 33.
    Use  | 
| Fields | |
|---|---|
| 
    public
    static
    final
    BigDecimal | ONEThe value 1, with a scale of 0. | 
| 
    public
    static
    final
    BigDecimal | TENThe value 10, with a scale of 0. | 
| 
    public
    static
    final
    BigDecimal | ZEROThe value 0, with a scale of 0. | 
| Public constructors | |
|---|---|
| 
      BigDecimal(char[] in)
      Translates a character array representation of a
  | |
| 
      BigDecimal(char[] in, int offset, int len)
      Translates a character array representation of a
  | |
| 
      BigDecimal(char[] in, int offset, int len, MathContext mc)
      Translates a character array representation of a
  | |
| 
      BigDecimal(char[] in, MathContext mc)
      Translates a character array representation of a
  | |
| 
      BigDecimal(double val)
      Translates a  | |
| 
      BigDecimal(double val, MathContext mc)
      Translates a  | |
| 
      BigDecimal(int val)
      Translates an  | |
| 
      BigDecimal(int val, MathContext mc)
      Translates an  | |
| 
      BigDecimal(String val)
      Translates the string representation of a  | |
| 
      BigDecimal(String val, MathContext mc)
      Translates the string representation of a  | |
| 
      BigDecimal(BigInteger val)
      Translates a  | |
| 
      BigDecimal(BigInteger unscaledVal, int scale)
      Translates a  | |
| 
      BigDecimal(BigInteger unscaledVal, int scale, MathContext mc)
      Translates a  | |
| 
      BigDecimal(BigInteger val, MathContext mc)
      Translates a  | |
| 
      BigDecimal(long val)
      Translates a  | |
| 
      BigDecimal(long val, MathContext mc)
      Translates a  | |
| Public methods | |
|---|---|
| 
        
        
        
        
        
        BigDecimal | 
      abs(MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      abs()
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      add(BigDecimal augend)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      add(BigDecimal augend, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        byte | 
      byteValueExact()
      Converts this  | 
| 
        
        
        
        
        
        int | 
      compareTo(BigDecimal val)
      Compares this  | 
| 
        
        
        
        
        
        BigDecimal | 
      divide(BigDecimal divisor, int scale, int roundingMode)
      
      This method was deprecated
      in API level 33.
    The method  | 
| 
        
        
        
        
        
        BigDecimal | 
      divide(BigDecimal divisor, int scale, RoundingMode roundingMode)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      divide(BigDecimal divisor, int roundingMode)
      
      This method was deprecated
      in API level 33.
    The method  | 
| 
        
        
        
        
        
        BigDecimal | 
      divide(BigDecimal divisor, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      divide(BigDecimal divisor, RoundingMode roundingMode)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      divide(BigDecimal divisor)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal[] | 
      divideAndRemainder(BigDecimal divisor, MathContext mc)
      Returns a two-element  | 
| 
        
        
        
        
        
        BigDecimal[] | 
      divideAndRemainder(BigDecimal divisor)
      Returns a two-element  | 
| 
        
        
        
        
        
        BigDecimal | 
      divideToIntegralValue(BigDecimal divisor, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      divideToIntegralValue(BigDecimal divisor)
      Returns a  | 
| 
        
        
        
        
        
        double | 
      doubleValue()
      Converts this  | 
| 
        
        
        
        
        
        boolean | 
      equals(Object x)
      Compares this  | 
| 
        
        
        
        
        
        float | 
      floatValue()
      Converts this  | 
| 
        
        
        
        
        
        int | 
      hashCode()
      Returns the hash code for this  | 
| 
        
        
        
        
        
        int | 
      intValue()
      Converts this  | 
| 
        
        
        
        
        
        int | 
      intValueExact()
      Converts this  | 
| 
        
        
        
        
        
        long | 
      longValue()
      Converts this  | 
| 
        
        
        
        
        
        long | 
      longValueExact()
      Converts this  | 
| 
        
        
        
        
        
        BigDecimal | 
      max(BigDecimal val)
      Returns the maximum of this  | 
| 
        
        
        
        
        
        BigDecimal | 
      min(BigDecimal val)
      Returns the minimum of this  | 
| 
        
        
        
        
        
        BigDecimal | 
      movePointLeft(int n)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      movePointRight(int n)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      multiply(BigDecimal multiplicand, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      multiply(BigDecimal multiplicand)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      negate()
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      negate(MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      plus()
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      plus(MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      pow(int n, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      pow(int n)
      Returns a  | 
| 
        
        
        
        
        
        int | 
      precision()
      Returns the precision of this  | 
| 
        
        
        
        
        
        BigDecimal | 
      remainder(BigDecimal divisor)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      remainder(BigDecimal divisor, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      round(MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        int | 
      scale()
      Returns the scale of this  | 
| 
        
        
        
        
        
        BigDecimal | 
      scaleByPowerOfTen(int n)
      Returns a BigDecimal whose numerical value is equal to
 ( | 
| 
        
        
        
        
        
        BigDecimal | 
      setScale(int newScale, int roundingMode)
      
      This method was deprecated
      in API level 33.
    The method  | 
| 
        
        
        
        
        
        BigDecimal | 
      setScale(int newScale)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      setScale(int newScale, RoundingMode roundingMode)
      Returns a  | 
| 
        
        
        
        
        
        short | 
      shortValueExact()
      Converts this  | 
| 
        
        
        
        
        
        int | 
      signum()
      Returns the signum function of this  | 
| 
        
        
        
        
        
        BigDecimal | 
      sqrt(MathContext mc)
      Returns an approximation to the square root of  | 
| 
        
        
        
        
        
        BigDecimal | 
      stripTrailingZeros()
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      subtract(BigDecimal subtrahend)
      Returns a  | 
| 
        
        
        
        
        
        BigDecimal | 
      subtract(BigDecimal subtrahend, MathContext mc)
      Returns a  | 
| 
        
        
        
        
        
        BigInteger | 
      toBigInteger()
      Converts this  | 
| 
        
        
        
        
        
        BigInteger | 
      toBigIntegerExact()
      Converts this  | 
| 
        
        
        
        
        
        String | 
      toEngineeringString()
      Returns a string representation of this  | 
| 
        
        
        
        
        
        String | 
      toPlainString()
      Returns a string representation of this  | 
| 
        
        
        
        
        
        String | 
      toString()
      Returns the string representation of this  | 
| 
        
        
        
        
        
        BigDecimal | 
      ulp()
      Returns the size of an ulp, a unit in the last place, of this
  | 
| 
        
        
        
        
        
        BigInteger | 
      unscaledValue()
      Returns a  | 
| 
        
        
        static
        
        
        BigDecimal | 
      valueOf(double val)
      Translates a  | 
| 
        
        
        static
        
        
        BigDecimal | 
      valueOf(long val)
      Translates a  | 
| 
        
        
        static
        
        
        BigDecimal | 
      valueOf(long unscaledVal, int scale)
      Translates a  | 
| Inherited methods | |
|---|---|
Constants
ROUND_CEILING
public static final int ROUND_CEILING
      This constant was deprecated
      in API level 33.
    Use RoundingMode.CEILING instead.
  
Rounding mode to round towards positive infinity.  If the
 BigDecimal is positive, behaves as for
 ROUND_UP; if negative, behaves as for
 ROUND_DOWN.  Note that this rounding mode never
 decreases the calculated value.
Constant Value: 2 (0x00000002)
ROUND_DOWN
public static final int ROUND_DOWN
      This constant was deprecated
      in API level 33.
    Use RoundingMode.DOWN instead.
  
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.
Constant Value: 1 (0x00000001)
ROUND_FLOOR
public static final int ROUND_FLOOR
      This constant was deprecated
      in API level 33.
    Use RoundingMode.FLOOR instead.
  
Rounding mode to round towards negative infinity.  If the
 BigDecimal is positive, behave as for
 ROUND_DOWN; if negative, behave as for
 ROUND_UP.  Note that this rounding mode never
 increases the calculated value.
Constant Value: 3 (0x00000003)
ROUND_HALF_DOWN
public static final int ROUND_HALF_DOWN
      This constant was deprecated
      in API level 33.
    Use RoundingMode.HALF_DOWN instead.
  
Rounding mode to round towards "nearest neighbor"
 unless both neighbors are equidistant, in which case round
 down.  Behaves as for ROUND_UP if the discarded
 fraction is > 0.5; otherwise, behaves as for
 ROUND_DOWN.
Constant Value: 5 (0x00000005)
ROUND_HALF_EVEN
public static final int ROUND_HALF_EVEN
      This constant was deprecated
      in API level 33.
    Use RoundingMode.HALF_EVEN instead.
  
Rounding mode to round towards the "nearest neighbor"
 unless both neighbors are equidistant, in which case, round
 towards the even neighbor.  Behaves as for
 ROUND_HALF_UP if the digit to the left of the
 discarded fraction is odd; behaves as for
 ROUND_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.
Constant Value: 6 (0x00000006)
ROUND_HALF_UP
public static final int ROUND_HALF_UP
      This constant was deprecated
      in API level 33.
    Use RoundingMode.HALF_UP instead.
  
Rounding mode to round towards "nearest neighbor"
 unless both neighbors are equidistant, in which case round up.
 Behaves as for ROUND_UP if the discarded fraction is
 ≥ 0.5; otherwise, behaves as for ROUND_DOWN.  Note
 that this is the rounding mode that most of us were taught in
 grade school.
Constant Value: 4 (0x00000004)
ROUND_UNNECESSARY
public static final int ROUND_UNNECESSARY
      This constant was deprecated
      in API level 33.
    Use RoundingMode.UNNECESSARY instead.
  
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.
Constant Value: 7 (0x00000007)
ROUND_UP
public static final int ROUND_UP
      This constant was deprecated
      in API level 33.
    Use RoundingMode.UP instead.
  
Rounding mode to round away from zero. Always increments the digit prior to a nonzero discarded fraction. Note that this rounding mode never decreases the magnitude of the calculated value.
Constant Value: 0 (0x00000000)
Fields
Public constructors
BigDecimal
public BigDecimal (char[] in)
Translates a character array representation of a
 BigDecimal into a BigDecimal, accepting the
 same sequence of characters as the BigDecimal(java.lang.String)
 constructor.
Implementation Note:
- If the sequence of characters is already available
 as a character array, using this constructor is faster than
 converting the chararray to string and using theBigDecimal(String)constructor.
| Parameters | |
|---|---|
| in | char:chararray that is the source of characters. | 
| Throws | |
|---|---|
| NumberFormatException | if inis not a valid
         representation of aBigDecimal. | 
BigDecimal
public BigDecimal (char[] in, 
                int offset, 
                int len)Translates a character array representation of a
 BigDecimal into a BigDecimal, accepting the
 same sequence of characters as the BigDecimal(java.lang.String)
 constructor, while allowing a sub-array to be specified.
Implementation Note:
- If the sequence of characters is already available
 within a character array, using this constructor is faster than
 converting the chararray to string and using theBigDecimal(String)constructor.
| Parameters | |
|---|---|
| in | char:chararray that is the source of characters. | 
| offset | int: first character in the array to inspect. | 
| len | int: number of characters to consider. | 
| Throws | |
|---|---|
| NumberFormatException | if inis not a valid
         representation of aBigDecimalor the defined subarray
         is not wholly withinin. | 
BigDecimal
public BigDecimal (char[] in, 
                int offset, 
                int len, 
                MathContext mc)Translates a character array representation of a
 BigDecimal into a BigDecimal, accepting the
 same sequence of characters as the BigDecimal(java.lang.String)
 constructor, while allowing a sub-array to be specified and
 with rounding according to the context settings.
Implementation Note:
- If the sequence of characters is already available
 within a character array, using this constructor is faster than
 converting the chararray to string and using theBigDecimal(String)constructor.
| Parameters | |
|---|---|
| in | char:chararray that is the source of characters. | 
| offset | int: first character in the array to inspect. | 
| len | int: number of characters to consider. | 
| mc | MathContext: the context to use. | 
| Throws | |
|---|---|
| NumberFormatException | if inis not a valid
         representation of aBigDecimalor the defined subarray
         is not wholly withinin. | 
BigDecimal
public BigDecimal (char[] in, 
                MathContext mc)Translates a character array representation of a
 BigDecimal into a BigDecimal, accepting the
 same sequence of characters as the BigDecimal(java.lang.String)
 constructor and with rounding according to the context
 settings.
Implementation Note:
- If the sequence of characters is already available
 as a character array, using this constructor is faster than
 converting the chararray to string and using theBigDecimal(String)constructor.
| Parameters | |
|---|---|
| in | char:chararray that is the source of characters. | 
| mc | MathContext: the context to use. | 
| Throws | |
|---|---|
| NumberFormatException | if inis not a valid
         representation of aBigDecimal. | 
BigDecimal
public BigDecimal (double val)
Translates a double into a BigDecimal which
 is the exact decimal representation of the double's
 binary floating-point value.  The scale of the returned
 BigDecimal is the smallest value such that
 (10scale × val) is an integer.
 
Notes:
- 
 The results of this constructor can be somewhat unpredictable.
 One might assume that writing new BigDecimal(0.1)in Java creates aBigDecimalwhich 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 passed in to the constructor is not exactly equal to 0.1, appearances notwithstanding.
- 
 The Stringconstructor, on the other hand, is perfectly predictable: writingnew BigDecimal("0.1")creates aBigDecimalwhich is exactly equal to 0.1, as one would expect. Therefore, it is generally recommended that the String constructor be used in preference to this one.
- 
 When a doublemust be used as a source for aBigDecimal, note that this constructor provides an exact conversion; it does not give the same result as converting thedoubleto aStringusing theDouble.toString(double)method and then using theBigDecimal(java.lang.String)constructor. To get that result, use thestaticvalueOf(double)method.
| Parameters | |
|---|---|
| val | double:doublevalue to be converted toBigDecimal. | 
| Throws | |
|---|---|
| NumberFormatException | if valis infinite or NaN. | 
BigDecimal
public BigDecimal (double val, 
                MathContext mc)Translates a double into a BigDecimal, with
 rounding according to the context settings.  The scale of the
 BigDecimal 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
 the BigDecimal(double) constructor.
| Parameters | |
|---|---|
| val | double:doublevalue to be converted toBigDecimal. | 
| mc | MathContext: the context to use. | 
| Throws | |
|---|---|
| NumberFormatException | if valis infinite or NaN. | 
BigDecimal
public BigDecimal (int val)
Translates an int into a BigDecimal.  The
 scale of the BigDecimal is zero.
| Parameters | |
|---|---|
| val | int:intvalue to be converted toBigDecimal. | 
BigDecimal
public BigDecimal (int val, 
                MathContext mc)Translates an int into a BigDecimal, with
 rounding according to the context settings.  The scale of the
 BigDecimal, before any rounding, is zero.
| Parameters | |
|---|---|
| val | int:intvalue to be converted toBigDecimal. | 
| mc | MathContext: the context to use. | 
BigDecimal
public BigDecimal (String val)
Translates the string representation of a BigDecimal
 into a BigDecimal.  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 the significand.
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) and Integer.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.isDigitreturnstrue, including 0, 1, 2 ...
The scale of the returned BigDecimal 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 between Integer.MIN_VALUE and
 Integer.MAX_VALUE, inclusive.
 
The character-to-digit mapping is provided by Character.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 returned BigDecimal is equal to
 significand × 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]
API Note:
- For values other than floatanddoubleNaN and ±Infinity, this constructor is compatible with the values returned byFloat.toStringandDouble.toString. This is generally the preferred way to convert afloatordoubleinto a BigDecimal, as it doesn't suffer from the unpredictability of theBigDecimal(double)constructor.
| Parameters | |
|---|---|
| val | String: String representation ofBigDecimal. | 
| Throws | |
|---|---|
| NumberFormatException | if valis not a valid
         representation of aBigDecimal. | 
BigDecimal
public BigDecimal (String val, MathContext mc)
Translates the string representation of a BigDecimal
 into a BigDecimal, accepting the same strings as the
 BigDecimal(java.lang.String) constructor, with rounding
 according to the context settings.
| Parameters | |
|---|---|
| val | String: string representation of aBigDecimal. | 
| mc | MathContext: the context to use. | 
| Throws | |
|---|---|
| NumberFormatException | if valis not a valid
         representation of a BigDecimal. | 
BigDecimal
public BigDecimal (BigInteger val)
Translates a BigInteger into a BigDecimal.
 The scale of the BigDecimal is zero.
| Parameters | |
|---|---|
| val | BigInteger:BigIntegervalue to be converted toBigDecimal. | 
BigDecimal
public BigDecimal (BigInteger unscaledVal, int scale)
Translates a BigInteger unscaled value and an
 int scale into a BigDecimal.  The value of
 the BigDecimal is
 (unscaledVal × 10-scale).
| Parameters | |
|---|---|
| unscaledVal | BigInteger: unscaled value of theBigDecimal. | 
| scale | int: scale of theBigDecimal. | 
BigDecimal
public BigDecimal (BigInteger unscaledVal, int scale, MathContext mc)
Translates a BigInteger unscaled value and an
 int scale into a BigDecimal, with rounding
 according to the context settings.  The value of the
 BigDecimal is (unscaledVal ×
 10-scale), rounded according to the
 precision and rounding mode settings.
| Parameters | |
|---|---|
| unscaledVal | BigInteger: unscaled value of theBigDecimal. | 
| scale | int: scale of theBigDecimal. | 
| mc | MathContext: the context to use. | 
BigDecimal
public BigDecimal (BigInteger val, MathContext mc)
Translates a BigInteger into a BigDecimal
 rounding according to the context settings.  The scale of the
 BigDecimal is zero.
| Parameters | |
|---|---|
| val | BigInteger:BigIntegervalue to be converted toBigDecimal. | 
| mc | MathContext: the context to use. | 
BigDecimal
public BigDecimal (long val)
Translates a long into a BigDecimal.  The
 scale of the BigDecimal is zero.
| Parameters | |
|---|---|
| val | long:longvalue to be converted toBigDecimal. | 
BigDecimal
public BigDecimal (long val, 
                MathContext mc)Translates a long into a BigDecimal, with
 rounding according to the context settings.  The scale of the
 BigDecimal, before any rounding, is zero.
| Parameters | |
|---|---|
| val | long:longvalue to be converted toBigDecimal. | 
| mc | MathContext: the context to use. | 
Public methods
abs
public BigDecimal abs (MathContext mc)
Returns a BigDecimal whose value is the absolute value
 of this BigDecimal, with rounding according to the
 context settings.
| Parameters | |
|---|---|
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | abs(this), rounded as necessary. | 
abs
public BigDecimal abs ()
Returns a BigDecimal whose value is the absolute value
 of this BigDecimal, and whose scale is
 this.scale().
| Returns | |
|---|---|
| BigDecimal | abs(this) | 
add
public BigDecimal add (BigDecimal augend)
Returns a BigDecimal whose value is (this +
 augend), and whose scale is max(this.scale(),
 augend.scale()).
| Parameters | |
|---|---|
| augend | BigDecimal: value to be added to thisBigDecimal. | 
| Returns | |
|---|---|
| BigDecimal | this + augend | 
add
public BigDecimal add (BigDecimal augend, MathContext mc)
Returns a 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.
| Parameters | |
|---|---|
| augend | BigDecimal: value to be added to thisBigDecimal. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | this + augend, rounded as necessary. | 
byteValueExact
public byte byteValueExact ()
Converts this BigDecimal to a byte, checking
 for lost information.  If this BigDecimal has a
 nonzero fractional part or is out of the possible range for a
 byte result then an ArithmeticException is
 thrown.
| Returns | |
|---|---|
| byte | this BigDecimalconverted to abyte. | 
| Throws | |
|---|---|
| ArithmeticException | if thishas a nonzero
         fractional part, or will not fit in abyte. | 
compareTo
public int compareTo (BigDecimal val)
Compares this BigDecimal numerically with the specified
 BigDecimal.  Two BigDecimal objects that are
 equal in value but have a different scale (like 2.0 and 2.00)
 are considered equal by this method. Such values are in the
 same cohort.
 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.
API Note:
- Note: this class has a natural ordering that is inconsistent with equals.
| Parameters | |
|---|---|
| val | BigDecimal:BigDecimalto which thisBigDecimalis
         to be compared. | 
| Returns | |
|---|---|
| int | -1, 0, or 1 as this BigDecimalis numerically
          less than, equal to, or greater thanval. | 
divide
public BigDecimal divide (BigDecimal divisor, int scale, int roundingMode)
      This method was deprecated
      in API level 33.
    The method divide(java.math.BigDecimal, int, java.math.RoundingMode)
 should be used in preference to this legacy method.
  
Returns a 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.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| scale | int: scale of theBigDecimalquotient to be returned. | 
| roundingMode | int: rounding mode to apply. | 
| Returns | |
|---|---|
| BigDecimal | this / divisor | 
| Throws | |
|---|---|
| ArithmeticException | if divisoris zero,roundingMode==ROUND_UNNECESSARYand
         the specified scale is insufficient to represent the result
         of the division exactly. | 
| IllegalArgumentException | if roundingModedoes not
         represent a valid rounding mode. | 
divide
public BigDecimal divide (BigDecimal divisor, int scale, RoundingMode roundingMode)
Returns a 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.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| scale | int: scale of theBigDecimalquotient to be returned. | 
| roundingMode | RoundingMode: rounding mode to apply. | 
| Returns | |
|---|---|
| BigDecimal | this / divisor | 
| Throws | |
|---|---|
| ArithmeticException | if divisoris zero,roundingMode==RoundingMode.UNNECESSARYand
         the specified scale is insufficient to represent the result
         of the division exactly. | 
divide
public BigDecimal divide (BigDecimal divisor, int roundingMode)
      This method was deprecated
      in API level 33.
    The method divide(java.math.BigDecimal, java.math.RoundingMode)
 should be used in preference to this legacy method.
  
Returns a BigDecimal whose value is (this /
 divisor), and whose scale is this.scale().  If
 rounding must be performed to generate a result with the given
 scale, the specified rounding mode is applied.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| roundingMode | int: rounding mode to apply. | 
| Returns | |
|---|---|
| BigDecimal | this / divisor | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0, orroundingMode==ROUND_UNNECESSARYandthis.scale()is insufficient to represent the result
         of the division exactly. | 
| IllegalArgumentException | if roundingModedoes not
         represent a valid rounding mode. | 
divide
public BigDecimal divide (BigDecimal divisor, MathContext mc)
Returns a BigDecimal whose value is (this /
 divisor), with rounding according to the context settings.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | this / divisor, rounded as necessary. | 
| Throws | |
|---|---|
| ArithmeticException | if the result is inexact but the
         rounding mode is UNNECESSARYormc.precision == 0and the quotient has a
         non-terminating decimal expansion,including dividing by zero | 
divide
public BigDecimal divide (BigDecimal divisor, RoundingMode roundingMode)
Returns a BigDecimal whose value is (this /
 divisor), and whose scale is this.scale().  If
 rounding must be performed to generate a result with the given
 scale, the specified rounding mode is applied.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| roundingMode | RoundingMode: rounding mode to apply. | 
| Returns | |
|---|---|
| BigDecimal | this / divisor | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0, orroundingMode==RoundingMode.UNNECESSARYandthis.scale()is insufficient to represent the result
         of the division exactly. | 
divide
public 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) an ArithmeticException is thrown.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| Returns | |
|---|---|
| BigDecimal | this / divisor | 
| Throws | |
|---|---|
| ArithmeticException | if the exact quotient does not have a terminating decimal expansion, including dividing by zero | 
divideAndRemainder
public BigDecimal[] divideAndRemainder (BigDecimal divisor, MathContext mc)
Returns a two-element BigDecimal array containing the
 result of divideToIntegralValue followed by the result of
 remainder 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 the
 divideToIntegralValue and remainder methods
 separately because the division need only be carried out once.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided,
         and the remainder computed. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal[] | a two element BigDecimalarray: the quotient
         (the result ofdivideToIntegralValue) is the
         initial element and the remainder is the final element. | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0 | 
| ArithmeticException | if the result is inexact but the
         rounding mode is UNNECESSARY, ormc.precision> 0 and the result ofthis.divideToIntegralValue(divisor)would
         require a precision of more thanmc.precisiondigits. | 
divideAndRemainder
public BigDecimal[] divideAndRemainder (BigDecimal divisor)
Returns a two-element BigDecimal array containing the
 result of divideToIntegralValue followed by the result of
 remainder on the two operands.
 
Note that if both the integer quotient and remainder are
 needed, this method is faster than using the
 divideToIntegralValue and remainder methods
 separately because the division need only be carried out once.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided,
         and the remainder computed. | 
| Returns | |
|---|---|
| BigDecimal[] | a two element BigDecimalarray: the quotient
         (the result ofdivideToIntegralValue) is the initial element
         and the remainder is the final element. | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0 | 
divideToIntegralValue
public BigDecimal divideToIntegralValue (BigDecimal divisor, MathContext mc)
Returns a 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()).  An
 ArithmeticException is thrown if the integer part of
 the exact quotient needs more than mc.precision
 digits.
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | The integer part of this / divisor. | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0 | 
| ArithmeticException | if mc.precision> 0 and the result
         requires a precision of more thanmc.precisiondigits. | 
divideToIntegralValue
public BigDecimal divideToIntegralValue (BigDecimal divisor)
Returns a 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()).
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| Returns | |
|---|---|
| BigDecimal | The integer part of this / divisor. | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0 | 
doubleValue
public double doubleValue ()
Converts this BigDecimal to a double.
 This conversion is similar to the
 narrowing primitive conversion from double to
 float as defined in
 The Java Language Specification:
 if this BigDecimal has too great a
 magnitude represent as a double, it will be
 converted to Double.NEGATIVE_INFINITY or Double.POSITIVE_INFINITY as appropriate.  Note that even when
 the return value is finite, this conversion can lose
 information about the precision of the BigDecimal
 value.
| Returns | |
|---|---|
| double | this BigDecimalconverted to adouble. | 
equals
public boolean equals (Object x)
Compares this BigDecimal with the specified Object for equality.  Unlike compareTo, this method considers two BigDecimal
 objects equal only if they are equal in value and
 scale. Therefore 2.0 is not equal to 2.00 when compared by this
 method since the former has [BigInteger, scale]
 components equal to [20, 1] while the latter has components
 equal to [200, 2].
API Note:
- One example that shows how 2.0 and 2.00 are not
 substitutable for each other under some arithmetic operations
 are the two expressions:
 new BigDecimal("2.0" ).divide(BigDecimal.valueOf(3), HALF_UP)which evaluates to 0.7 and
 new BigDecimal("2.00").divide(BigDecimal.valueOf(3), HALF_UP)which evaluates to 0.67.
| Parameters | |
|---|---|
| x | Object:Objectto which thisBigDecimalis
         to be compared. | 
| Returns | |
|---|---|
| boolean | trueif and only if the specifiedObjectis aBigDecimalwhose value and scale are equal to thisBigDecimal's. | 
floatValue
public float floatValue ()
Converts this BigDecimal to a float.
 This conversion is similar to the
 narrowing primitive conversion from double to
 float as defined in
 The Java Language Specification:
 if this BigDecimal has too great a
 magnitude to represent as a float, it will be
 converted to Float.NEGATIVE_INFINITY or Float.POSITIVE_INFINITY as appropriate.  Note that even when
 the return value is finite, this conversion can lose
 information about the precision of the BigDecimal
 value.
| Returns | |
|---|---|
| float | this BigDecimalconverted to afloat. | 
hashCode
public int hashCode ()
Returns the hash code for this BigDecimal.
 The hash code is computed as a function of the unscaled value and the scale of this BigDecimal.
API Note:
- Two BigDecimalobjects that are numerically equal but differ in scale (like 2.0 and 2.00) will generally not have the same hash code.
| Returns | |
|---|---|
| int | hash code for this BigDecimal. | 
See also:
intValue
public int intValue ()
Converts this BigDecimal to an int.
 This conversion is analogous to the
 narrowing primitive conversion from double to
 short as defined in
 The Java Language Specification:
 any fractional part of this
 BigDecimal will be discarded, and if the resulting
 "BigInteger" is too big to fit in an
 int, only the low-order 32 bits are returned.
 Note that this conversion can lose information about the
 overall magnitude and precision of this BigDecimal
 value as well as return a result with the opposite sign.
| Returns | |
|---|---|
| int | this BigDecimalconverted to anint. | 
intValueExact
public int intValueExact ()
Converts this BigDecimal to an int, checking
 for lost information.  If this BigDecimal has a
 nonzero fractional part or is out of the possible range for an
 int result then an ArithmeticException is
 thrown.
| Returns | |
|---|---|
| int | this BigDecimalconverted to anint. | 
| Throws | |
|---|---|
| ArithmeticException | if thishas a nonzero
         fractional part, or will not fit in anint. | 
longValue
public long longValue ()
Converts this BigDecimal to a long.
 This conversion is analogous to the
 narrowing primitive conversion from double to
 short as defined in
 The Java Language Specification:
 any fractional part of this
 BigDecimal will be discarded, and if the resulting
 "BigInteger" is too big to fit in a
 long, only the low-order 64 bits are returned.
 Note that this conversion can lose information about the
 overall magnitude and precision of this BigDecimal value as well
 as return a result with the opposite sign.
| Returns | |
|---|---|
| long | this BigDecimalconverted to along. | 
longValueExact
public long longValueExact ()
Converts this BigDecimal to a long, checking
 for lost information.  If this BigDecimal has a
 nonzero fractional part or is out of the possible range for a
 long result then an ArithmeticException is
 thrown.
| Returns | |
|---|---|
| long | this BigDecimalconverted to along. | 
| Throws | |
|---|---|
| ArithmeticException | if thishas a nonzero
         fractional part, or will not fit in along. | 
max
public BigDecimal max (BigDecimal val)
Returns the maximum of this BigDecimal and val.
| Parameters | |
|---|---|
| val | BigDecimal: value with which the maximum is to be computed. | 
| Returns | |
|---|---|
| BigDecimal | the BigDecimalwhose value is the greater of thisBigDecimalandval.  If they are equal,
         as defined by thecompareTomethod,thisis returned. | 
See also:
min
public BigDecimal min (BigDecimal val)
Returns the minimum of this BigDecimal and
 val.
| Parameters | |
|---|---|
| val | BigDecimal: value with which the minimum is to be computed. | 
| Returns | |
|---|---|
| BigDecimal | the BigDecimalwhose value is the lesser of thisBigDecimalandval.  If they are equal,
         as defined by thecompareTomethod,thisis returned. | 
See also:
movePointLeft
public BigDecimal movePointLeft (int n)
Returns a BigDecimal which is equivalent to this one
 with the decimal point moved n places to the left.  If
 n is non-negative, the call merely adds n to
 the scale.  If n is negative, the call is equivalent
 to movePointRight(-n).  The BigDecimal
 returned by this call has value (this ×
 10-n) and scale max(this.scale()+n,
 0).
| Parameters | |
|---|---|
| n | int: number of places to move the decimal point to the left. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhich is equivalent to this one with the
         decimal point movednplaces to the left. | 
| Throws | |
|---|---|
| ArithmeticException | if scale overflows. | 
movePointRight
public BigDecimal movePointRight (int n)
Returns a BigDecimal which is equivalent to this one
 with the decimal point moved n places to the right.
 If n is non-negative, the call merely subtracts
 n from the scale.  If n is negative, the call
 is equivalent to movePointLeft(-n).  The
 BigDecimal returned by this call has value (this
 × 10n) and scale max(this.scale()-n,
 0).
| Parameters | |
|---|---|
| n | int: number of places to move the decimal point to the right. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhich is equivalent to this one
         with the decimal point movednplaces to the right. | 
| Throws | |
|---|---|
| ArithmeticException | if scale overflows. | 
multiply
public BigDecimal multiply (BigDecimal multiplicand, MathContext mc)
Returns a BigDecimal whose value is (this ×
 multiplicand), with rounding according to the context settings.
| Parameters | |
|---|---|
| multiplicand | BigDecimal: value to be multiplied by thisBigDecimal. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | this * multiplicand, rounded as necessary. | 
multiply
public BigDecimal multiply (BigDecimal multiplicand)
Returns a BigDecimal whose value is (this ×
 multiplicand), and whose scale is (this.scale() +
 multiplicand.scale()).
| Parameters | |
|---|---|
| multiplicand | BigDecimal: value to be multiplied by thisBigDecimal. | 
| Returns | |
|---|---|
| BigDecimal | this * multiplicand | 
negate
public BigDecimal negate ()
Returns a BigDecimal whose value is (-this),
 and whose scale is this.scale().
| Returns | |
|---|---|
| BigDecimal | -this. | 
negate
public BigDecimal negate (MathContext mc)
Returns a BigDecimal whose value is (-this),
 with rounding according to the context settings.
| Parameters | |
|---|---|
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | -this, rounded as necessary. | 
plus
public BigDecimal plus ()
Returns a BigDecimal whose value is (+this), and whose
 scale is this.scale().
 
This method, which simply returns this BigDecimal
 is included for symmetry with the unary minus method negate().
| Returns | |
|---|---|
| BigDecimal | this. | 
See also:
plus
public BigDecimal plus (MathContext mc)
Returns a BigDecimal whose value is (+this),
 with rounding according to the context settings.
 
The effect of this method is identical to that of the round(java.math.MathContext) method.
| Parameters | |
|---|---|
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | this, rounded as necessary.  A zero result will
         have a scale of 0. | 
See also:
pow
public BigDecimal pow (int n, MathContext mc)
Returns a 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:
-  An ArithmeticExceptionexception is thrown if- abs(n) > 999999999
- mc.precision == 0and- n < 0
- mc.precision > 0and- nhas more than- mc.precisiondecimal digits
 
-  if nis zero,ONEis returned even ifthisis zero, otherwise-  if nis 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 inmcexcept for a precision increased tomc.precision + elength + 1whereelengthis the number of decimal digits inn.
-  if nis negative, the result is calculated as ifnwere positive; this value is then divided into one using the working precision specified above.
- The final value from either the positive or negative case is then rounded to the destination precision.
 
-  if 
| Parameters | |
|---|---|
| n | int: power to raise thisBigDecimalto. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | thisnusing the ANSI standard X3.274-1996
         algorithm | 
| Throws | |
|---|---|
| ArithmeticException | if the result is inexact but the
         rounding mode is UNNECESSARY, ornis out
         of range. | 
pow
public BigDecimal pow (int n)
Returns a BigDecimal whose value is
 (thisn), The power is computed exactly, to
 unlimited precision.
 
The parameter n must be in the range 0 through
 999999999, inclusive.  ZERO.pow(0) returns ONE.
 Note that future releases may expand the allowable exponent
 range of this method.
| Parameters | |
|---|---|
| n | int: power to raise thisBigDecimalto. | 
| Returns | |
|---|---|
| BigDecimal | thisn | 
| Throws | |
|---|---|
| ArithmeticException | if nis out of range. | 
precision
public int precision ()
Returns the precision of this BigDecimal.  (The
 precision is the number of digits in the unscaled value.)
 
The precision of a zero value is 1.
| Returns | |
|---|---|
| int | the precision of this BigDecimal. | 
remainder
public BigDecimal remainder (BigDecimal divisor)
Returns a BigDecimal whose value is (this % divisor).
 
The remainder is given by
 this.subtract(this.divideToIntegralValue(divisor).multiply(divisor)).
 Note that this is not the modulo operation (the result can be
 negative).
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| Returns | |
|---|---|
| BigDecimal | this % divisor. | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0 | 
remainder
public BigDecimal remainder (BigDecimal divisor, MathContext mc)
Returns a BigDecimal whose value is (this %
 divisor), with rounding according to the context settings.
 The MathContext settings affect the implicit divide
 used to compute the remainder.  The remainder computation
 itself is by definition exact.  Therefore, the remainder may
 contain more than mc.getPrecision() digits.
 
The remainder is given by
 this.subtract(this.divideToIntegralValue(divisor,
 mc).multiply(divisor)).  Note that this is not the modulo
 operation (the result can be negative).
| Parameters | |
|---|---|
| divisor | BigDecimal: value by which thisBigDecimalis to be divided. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | this % divisor, rounded as necessary. | 
| Throws | |
|---|---|
| ArithmeticException | if divisor==0 | 
| ArithmeticException | if the result is inexact but the
         rounding mode is UNNECESSARY, ormc.precision> 0 and the result ofthis.divideToIntegralValue(divisor)would
         require a precision of more thanmc.precisiondigits. | 
round
public BigDecimal round (MathContext mc)
Returns a BigDecimal rounded according to the
 MathContext settings.  If the precision setting is 0 then
 no rounding takes place.
 
The effect of this method is identical to that of the
 plus(java.math.MathContext) method.
| Parameters | |
|---|---|
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalrounded according to theMathContextsettings. | 
See also:
scale
public int scale ()
Returns the scale of this 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.
| Returns | |
|---|---|
| int | the scale of this BigDecimal. | 
scaleByPowerOfTen
public BigDecimal scaleByPowerOfTen (int n)
Returns a BigDecimal whose numerical value is equal to
 (this * 10n).  The scale of
 the result is (this.scale() - n).
| Parameters | |
|---|---|
| n | int: the exponent power of ten to scale by | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimal whose numerical value is equal to
 ( this* 10n) | 
| Throws | |
|---|---|
| ArithmeticException | if the scale would be outside the range of a 32-bit integer. | 
setScale
public BigDecimal setScale (int newScale, int roundingMode)
      This method was deprecated
      in API level 33.
    The method setScale(int, java.math.RoundingMode) should
 be used in preference to this legacy method.
  
Returns a BigDecimal whose scale is the specified
 value, and whose unscaled value is determined by multiplying or
 dividing this BigDecimal'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.
API Note:
- Since BigDecimal objects are immutable, calls of
 this method do not result in the original object being
 modified, contrary to the usual convention of having methods
 named setXmutate fieldX. Instead,setScalereturns an object with the proper scale; the returned object may or may not be newly allocated.
| Parameters | |
|---|---|
| newScale | int: scale of theBigDecimalvalue to be returned. | 
| roundingMode | int: The rounding mode to apply. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhose 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. | 
| Throws | |
|---|---|
| ArithmeticException | if roundingMode==ROUND_UNNECESSARYand the specified scaling operation would require
         rounding. | 
| IllegalArgumentException | if roundingModedoes not
         represent a valid rounding mode. | 
setScale
public BigDecimal setScale (int newScale)
Returns a BigDecimal whose scale is the specified
 value, and whose value is numerically equal to this
 BigDecimal's.  Throws an ArithmeticException
 if this is not possible.
 
This call is typically used to increase the scale, in which
 case it is guaranteed that there exists a BigDecimal
 of the specified scale and the correct value.  The call can
 also be used to reduce the scale if the caller knows that the
 BigDecimal 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 of setScale, but saves the caller the trouble
 of specifying a rounding mode in cases where it is irrelevant.
API Note:
- Since BigDecimalobjects are immutable, calls of this method do not result in the original object being modified, contrary to the usual convention of having methods namedsetXmutate fieldX. Instead,setScalereturns an object with the proper scale; the returned object may or may not be newly allocated.
| Parameters | |
|---|---|
| newScale | int: scale of theBigDecimalvalue to be returned. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhose 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. | 
| Throws | |
|---|---|
| ArithmeticException | if the specified scaling operation would require rounding. | 
setScale
public 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 this BigDecimal'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.
API Note:
- Since BigDecimal objects are immutable, calls of
 this method do not result in the original object being
 modified, contrary to the usual convention of having methods
 named setXmutate fieldX. Instead,setScalereturns an object with the proper scale; the returned object may or may not be newly allocated.
| Parameters | |
|---|---|
| newScale | int: scale of theBigDecimalvalue to be returned. | 
| roundingMode | RoundingMode: The rounding mode to apply. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhose 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. | 
| Throws | |
|---|---|
| ArithmeticException | if roundingMode==UNNECESSARYand the specified scaling operation would require
         rounding. | 
See also:
shortValueExact
public short shortValueExact ()
Converts this BigDecimal to a short, checking
 for lost information.  If this BigDecimal has a
 nonzero fractional part or is out of the possible range for a
 short result then an ArithmeticException is
 thrown.
| Returns | |
|---|---|
| short | this BigDecimalconverted to ashort. | 
| Throws | |
|---|---|
| ArithmeticException | if thishas a nonzero
         fractional part, or will not fit in ashort. | 
signum
public int signum ()
Returns the signum function of this BigDecimal.
| Returns | |
|---|---|
| int | -1, 0, or 1 as the value of this BigDecimalis negative, zero, or positive. | 
sqrt
public BigDecimal sqrt (MathContext mc)
Returns an approximation to the square root of this
 with rounding according to the context settings.
 
The preferred scale of the returned result is equal to
 this.scale()/2. The value of the returned result is
 always within one ulp of the exact decimal value for the
 precision in question.  If the rounding mode is HALF_UP, HALF_DOWN, or HALF_EVEN, the
 result is within one half an ulp of the exact decimal value.
 
Special case:
-  The square root of a number numerically equal to ZEROis numerically equal toZEROwith a preferred scale according to the general rule above. In particular, forZERO,ZERO.sqrt(mc).equals(ZERO)is true with anyMathContextas an argument.
| Parameters | |
|---|---|
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | the square root of this. | 
| Throws | |
|---|---|
| ArithmeticException | if thisis less than zero. | 
| ArithmeticException | if an exact result is requested
 ( mc.getPrecision()==0) and there is no finite decimal
 expansion of the exact result | 
| ArithmeticException | if (mc.getRoundingMode()==RoundingMode.UNNECESSARY) and
 the exact result cannot fit inmc.getPrecision()digits. | 
See also:
stripTrailingZeros
public BigDecimal stripTrailingZeros ()
Returns a BigDecimal which is numerically equal to
 this one but with any trailing zeros removed from the
 representation.  For example, stripping the trailing zeros from
 the BigDecimal value 600.0, which has
 [BigInteger, scale] components equal to
 [6000, 1], yields 6E2 with [BigInteger,
 scale] components equal to [6, -2].  If
 this BigDecimal is numerically equal to zero, then
 BigDecimal.ZERO is returned.
| Returns | |
|---|---|
| BigDecimal | a numerically equal BigDecimalwith any
 trailing zeros removed. | 
| Throws | |
|---|---|
| ArithmeticException | if scale overflows. | 
subtract
public BigDecimal subtract (BigDecimal subtrahend)
Returns a BigDecimal whose value is (this -
 subtrahend), and whose scale is max(this.scale(),
 subtrahend.scale()).
| Parameters | |
|---|---|
| subtrahend | BigDecimal: value to be subtracted from thisBigDecimal. | 
| Returns | |
|---|---|
| BigDecimal | this - subtrahend | 
subtract
public BigDecimal subtract (BigDecimal subtrahend, MathContext mc)
Returns a BigDecimal whose value is (this - subtrahend),
 with rounding according to the context settings.
 If subtrahend is zero then this, rounded if necessary, is used as the
 result.  If this is zero then the result is subtrahend.negate(mc).
| Parameters | |
|---|---|
| subtrahend | BigDecimal: value to be subtracted from thisBigDecimal. | 
| mc | MathContext: the context to use. | 
| Returns | |
|---|---|
| BigDecimal | this - subtrahend, rounded as necessary. | 
toBigInteger
public BigInteger toBigInteger ()
Converts this BigDecimal to a BigInteger.
 This conversion is analogous to the
 narrowing primitive conversion from double to
 long as defined in
 The Java Language Specification:
 any fractional part of this
 BigDecimal will be discarded.  Note that this
 conversion can lose information about the precision of the
 BigDecimal value.
 
 To have an exception thrown if the conversion is inexact (in
 other words if a nonzero fractional part is discarded), use the
 toBigIntegerExact() method.
| Returns | |
|---|---|
| BigInteger | this BigDecimalconverted to aBigInteger. | 
toBigIntegerExact
public BigInteger toBigIntegerExact ()
Converts this BigDecimal to a BigInteger,
 checking for lost information.  An exception is thrown if this
 BigDecimal has a nonzero fractional part.
| Returns | |
|---|---|
| BigInteger | this BigDecimalconverted to aBigInteger. | 
| Throws | |
|---|---|
| ArithmeticException | if thishas a nonzero
         fractional part. | 
toEngineeringString
public String toEngineeringString ()
Returns a string representation of this BigDecimal,
 using engineering notation if an exponent is needed.
 
Returns a string that represents the BigDecimal as
 described in the toString() 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 of toString(), the output of this
 method is not guaranteed to recover the same [integer,
 scale] pair of this BigDecimal if the output string is
 converting back to a BigDecimal using the string 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.
| Returns | |
|---|---|
| String | string representation of this BigDecimal, using
         engineering notation if an exponent is needed. | 
toPlainString
public String toPlainString ()
Returns a string representation of this 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 the
 string constructor, only the
 numerical value of this BigDecimal will necessarily be
 recovered; the representation of the new BigDecimal
 may have a different scale.  In particular, if this
 BigDecimal 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 the toString
 method in 1.4 and earlier releases.)
| Returns | |
|---|---|
| String | a string representation of this BigDecimalwithout an exponent field. | 
See also:
toString
public String toString ()
Returns the string representation of this BigDecimal,
 using scientific notation if an exponent is needed.
 
A standard canonical string form of the BigDecimal
 is created as though by the following steps: first, the
 absolute value of the unscaled value of the BigDecimal
 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, an adjusted 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), where ulength is the
 length of the absolute value of the unscaled value in decimal
 digits (its precision).
 
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 converted BigInteger 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"
- There is a one-to-one mapping between the distinguishable
 BigDecimalvalues and the result of this conversion. That is, every distinguishableBigDecimalvalue (unscaled value and scale) has a unique string representation as a result of usingtoString. If that string representation is converted back to aBigDecimalusing theBigDecimal(java.lang.String)constructor, then the original value will be recovered.
- The string produced for a given number is always the same;
 it is not affected by locale.  This means that it can be used
 as a canonical string representation for exchanging decimal
 data, or as a key for a Hashtable, etc.  Locale-sensitive
 number formatting and parsing is handled by the NumberFormatclass and its subclasses.
- The toEngineeringString()method may be used for presenting numbers with exponents in engineering notation, and thesetScalemethod may be used for rounding aBigDecimalso it has a known number of digits after the decimal point.
- The digit-to-character mapping provided by
 Character.forDigitis used.
| Returns | |
|---|---|
| String | string representation of this BigDecimal. | 
ulp
public BigDecimal ulp ()
Returns the size of an ulp, a unit in the last place, of this
 BigDecimal.  An ulp of a nonzero BigDecimal
 value is the positive distance between this value and the
 BigDecimal 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 of this.  The result is
 stored with the same scale as this so the result
 for zero and nonzero values is equal to [1,
 this.scale()].
| Returns | |
|---|---|
| BigDecimal | the size of an ulp of this | 
unscaledValue
public BigInteger unscaledValue ()
Returns a BigInteger whose value is the unscaled
 value of this BigDecimal.  (Computes (this *
 10this.scale()).)
| Returns | |
|---|---|
| BigInteger | the unscaled value of this BigDecimal. | 
valueOf
public static BigDecimal valueOf (double val)
Translates a double into a BigDecimal, using
 the double's canonical string representation provided
 by the Double.toString(double) method.
API Note:
- This is generally the preferred way to convert a
 double(orfloat) into aBigDecimal, as the value returned is equal to that resulting from constructing aBigDecimalfrom the result of usingDouble.toString(double).
| Parameters | |
|---|---|
| val | double:doubleto convert to aBigDecimal. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhose value is equal to or approximately
         equal to the value ofval. | 
| Throws | |
|---|---|
| NumberFormatException | if valis infinite or NaN. | 
valueOf
public static BigDecimal valueOf (long val)
Translates a long value into a BigDecimal
 with a scale of zero.
API Note:
- This static factory method is provided in preference
 to a (long) constructor because it allows for reuse of frequently usedBigDecimalvalues.
| Parameters | |
|---|---|
| val | long: value of theBigDecimal. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhose value isval. | 
valueOf
public static BigDecimal valueOf (long unscaledVal, int scale)
Translates a long unscaled value and an
 int scale into a BigDecimal.
API Note:
- This static factory method is provided in preference
 to a (long,int) constructor because it allows for reuse of frequently usedBigDecimalvalues.
| Parameters | |
|---|---|
| unscaledVal | long: unscaled value of theBigDecimal. | 
| scale | int: scale of theBigDecimal. | 
| Returns | |
|---|---|
| BigDecimal | a BigDecimalwhose value is(unscaledVal × 10-scale). | 
