| public class java.math BigDecimal
|
Java SE 6 |
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 exception 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 largely obsolete; 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. (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 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, which were mandatory for division in BigDecimal releases prior to 5. 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.
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 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.
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() |
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.
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.
Note: care should be exercised if BigDecimal objects
are used as keys in a SortedMap or
elements in a SortedSet since
BigDecimal's natural ordering is inconsistent
with equals. See Comparable, java.util.SortedMap or java.util.SortedSet for more
information.
All methods and constructors for this class throw NullPointerException when passed a null object reference for any input parameter.
| See also | java.math.BigInteger, java.math.MathContext, java.math.RoundingMode, java.util.SortedMap, java.util.SortedSet |
| Fields | |||
|---|---|---|---|
| final public static BigDecimal | ZERO Details
The value 0, with a scale of 0.
| ||
| final public static BigDecimal | ONE Details
The value 1, with a scale of 0.
| ||
| final public static BigDecimal | TEN Details
The value 10, with a scale of 0.
| ||
| final public static int | ROUND_UP 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. | ||
| final public static int | ROUND_DOWN Rounding mode to round towards zero. Never increments the digit prior to a discarded fraction (i.e., truncates). Note that this rounding mode never increases the magnitude of the calculated value. | ||
| final public static int | ROUND_CEILING 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. | ||
| final public static int | ROUND_FLOOR 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. | ||
| final public static int | ROUND_HALF_UP 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. | ||
| final public static int | ROUND_HALF_DOWN 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. | ||
| final public 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. 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. | ||
| final public static int | ROUND_UNNECESSARY Rounding mode to assert that the requested operation has an exact result, hence no rounding is necessary. If this rounding mode is specified on an operation that yields an inexact result, an ArithmeticException is thrown. | ||
| Constructors | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| public | BigDecimal(char[] in, int offset, int len) Details
Translates a character array representation of a
BigDecimal into a BigDecimal, accepting the
same sequence of characters as the #BigDecimal(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 the char array to string and using the BigDecimal(String) constructor .
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| public | BigDecimal(char[] in, int offset, int len, MathContext mc) Details
Translates a character array representation of a
BigDecimal into a BigDecimal, accepting the
same sequence of characters as the #BigDecimal(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 the char array to string and using the BigDecimal(String) constructor .
| ||||||||||||||
| public | BigDecimal(char[] in) Details
Translates a character array representation of a
BigDecimal into a BigDecimal, accepting the
same sequence of characters as the #BigDecimal(String)
constructor.
Note that if the sequence of characters is already available as a character array, using this constructor is faster than converting the char array to string and using the BigDecimal(String) constructor .
| ||||||||||||||
| public | BigDecimal(char[] in, MathContext mc) Details
Translates a character array representation of a
BigDecimal into a BigDecimal, accepting the
same sequence of characters as the #BigDecimal(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 the char array to string and using the BigDecimal(String) constructor .
| ||||||||||||||
| public | BigDecimal(String val) Details
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 - More formally, the strings this constructor accepts are described by the following grammar:
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 Examples: "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 than float and
double NaN and ±Infinity, this constructor is
compatible with the values returned by
| ||||||||||||||
| public | BigDecimal(String val, MathContext mc) Details
Translates the string representation of a BigDecimal
into a BigDecimal, accepting the same strings as the
#BigDecimal(String) constructor, with rounding
according to the context settings.
| ||||||||||||||
| public | BigDecimal(double val) Details
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:
| ||||||||||||||
| public | BigDecimal(double val, MathContext mc) Details
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
| ||||||||||||||
| public | BigDecimal(BigInteger val) Details
Translates a BigInteger into a BigDecimal.
The scale of the BigDecimal is zero.
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| public | BigDecimal(BigInteger val, MathContext mc) Details
Translates a BigInteger into a BigDecimal
rounding according to the context settings. The scale of the
BigDecimal is zero.
| ||||||||||||||
| public | BigDecimal(BigInteger unscaledVal, int scale) Details
Translates a BigInteger unscaled value and an
int scale into a BigDecimal. The value of
the BigDecimal is
(unscaledVal × 10-scale).
| ||||||||||||||
| public | BigDecimal(BigInteger unscaledVal, int scale, MathContext mc) Details
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.
| ||||||||||||||
| public | BigDecimal(int val) Details
Translates an int into a BigDecimal. The
scale of the BigDecimal is zero.
| ||||||||||||||
| public | BigDecimal(int val, MathContext mc) Details
Translates an int into a BigDecimal, with
rounding according to the context settings. The scale of the
BigDecimal, before any rounding, is zero.
| ||||||||||||||
| public | BigDecimal(long val) Details
Translates a long into a BigDecimal. The
scale of the BigDecimal is zero.
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| public | BigDecimal(long val, MathContext mc) Details
Translates a long into a BigDecimal, with
rounding according to the context settings. The scale of the
BigDecimal, before any rounding, is zero.
| ||||||||||||||
| Methods | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| public BigDecimal | abs() Details
Returns a BigDecimal whose value is the absolute value
of this BigDecimal, and whose scale is
this.scale().
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| public BigDecimal | abs(MathContext mc) Details
Returns a BigDecimal whose value is the absolute value
of this BigDecimal, with rounding according to the
context settings.
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| public BigDecimal | add(BigDecimal augend) Details
Returns a BigDecimal whose value is (this +
augend), and whose scale is max(this.scale(),
augend.scale()).
| ||||||||||||||
| public BigDecimal | add(BigDecimal augend, MathContext mc) Details
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.
| ||||||||||||||
| public byte | byteValueExact() Details
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.
| ||||||||||||||
| public int | compareTo(BigDecimal val) Details
Compares this BigDecimal 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. 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.
| ||||||||||||||
| public BigDecimal | divide(BigDecimal divisor, int scale, int roundingMode) Details
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.
The new
| ||||||||||||||
| public BigDecimal | divide(BigDecimal divisor, int scale, RoundingMode roundingMode) Details
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.
| ||||||||||||||
| public BigDecimal | divide(BigDecimal divisor, int roundingMode) Details
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.
The new
| ||||||||||||||
| public BigDecimal | divide(BigDecimal divisor, RoundingMode roundingMode) Details
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.
| ||||||||||||||
| public BigDecimal | divide(BigDecimal divisor) Details
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.
| ||||||||||||||
| public BigDecimal | divide(BigDecimal divisor, MathContext mc) Details
Returns a BigDecimal whose value is (this /
divisor), with rounding according to the context settings.
| ||||||||||||||
| public BigDecimal[] | divideAndRemainder(BigDecimal divisor) Details
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.
| ||||||||||||||
| public BigDecimal[] | divideAndRemainder(BigDecimal divisor, MathContext mc) Details
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.
| ||||||||||||||
| public BigDecimal | divideToIntegralValue(BigDecimal divisor) Details
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()).
| ||||||||||||||
| public BigDecimal | divideToIntegralValue(BigDecimal divisor, MathContext mc) Details
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.
| ||||||||||||||
| public double | doubleValue() Details
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.
| ||||||||||||||
| public boolean | equals(Object x) Details
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 (thus 2.0 is not equal to 2.00 when compared by
this method).
| ||||||||||||||
| public float | floatValue() Details
Converts this BigDecimal to a float.
This conversion is similar to the narrowing
primitive conversion from double to
float 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.
| ||||||||||||||
| public int | hashCode() Details
Returns the hash code for this BigDecimal. Note that
two BigDecimal objects that are numerically equal but
differ in scale (like 2.0 and 2.00) will generally not
have the same hash code.
| ||||||||||||||
| public int | intValue() Details
Converts this BigDecimal to an int. This
conversion is analogous to a 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.
| ||||||||||||||
| public int | intValueExact() Details
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.
| ||||||||||||||
| public long | longValue() Details
Converts this BigDecimal to a long. This
conversion is analogous to a 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.
| ||||||||||||||
| public long | longValueExact() Details
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.
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| public BigDecimal | max(BigDecimal val) Details
Returns the maximum of this BigDecimal and val.
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| public BigDecimal | min(BigDecimal val) Details
Returns the minimum of this BigDecimal and
val.
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| public BigDecimal | movePointLeft(int n) Details
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).
| ||||||||||||||
| public BigDecimal | movePointRight(int n) Details
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).
| ||||||||||||||
| public BigDecimal | multiply(BigDecimal multiplicand) Details
Returns a BigDecimal whose value is (this ×
multiplicand), and whose scale is (this.scale() +
multiplicand.scale()).
| ||||||||||||||
| public BigDecimal | multiply(BigDecimal multiplicand, MathContext mc) Details
Returns a BigDecimal whose value is (this ×
multiplicand), with rounding according to the context settings.
| ||||||||||||||
| public BigDecimal | negate() Details
Returns a BigDecimal whose value is (-this),
and whose scale is this.scale().
| ||||||||||||||
| public BigDecimal | negate(MathContext mc) Details
Returns a BigDecimal whose value is (-this),
with rounding according to the context settings.
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| public BigDecimal | plus() Details
| ||||||||||||||
| public BigDecimal | plus(MathContext mc) Details
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
| ||||||||||||||
| public BigDecimal | pow(int n) Details
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
| ||||||||||||||
| public BigDecimal | pow(int n, MathContext mc) Details
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:
| ||||||||||||||
| public int | precision() Details
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.
| ||||||||||||||
| public BigDecimal | remainder(BigDecimal divisor) Details
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).
| ||||||||||||||
| public BigDecimal | remainder(BigDecimal divisor, MathContext mc) Details
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).
| ||||||||||||||
| public BigDecimal | round(MathContext mc) Details
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
| ||||||||||||||
| public int | scale() Details
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.
| ||||||||||||||
| public BigDecimal | scaleByPowerOfTen(int n) Details
Returns a BigDecimal whose numerical value is equal to
(this * 10n). The scale of
the result is (this.scale() - n).
| ||||||||||||||
| public short | shortValueExact() Details
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.
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| public int | signum() Details
Returns the signum function of this BigDecimal.
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| public BigDecimal | stripTrailingZeros() Details
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 equals to
[6000, 1], yields 6E2 with [BigInteger,
scale] components equals to [6, -2]
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| public BigDecimal | subtract(BigDecimal subtrahend) Details
Returns a BigDecimal whose value is (this -
subtrahend), and whose scale is max(this.scale(),
subtrahend.scale()).
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| public BigDecimal | subtract(BigDecimal subtrahend, MathContext mc) Details
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).
| ||||||||||||||
| public BigInteger | toBigInteger() Details
Converts this BigDecimal to a BigInteger.
This conversion is analogous to a 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
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| public BigInteger | toBigIntegerExact() Details
Converts this BigDecimal to a BigInteger,
checking for lost information. An exception is thrown if this
BigDecimal has a nonzero fractional part.
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| public String | toEngineeringString() Details
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
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| public String | toPlainString() Details
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.)
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| public String | toString() Details
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"Notes:
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| public BigDecimal | ulp() Details
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()].
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| public BigInteger | unscaledValue() Details
Returns a BigInteger whose value is the unscaled
value of this BigDecimal. (Computes (this *
10this.scale()).)
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| public static BigDecimal | valueOf(long unscaledVal, int scale) Details
Translates a long unscaled value and an
int scale into a BigDecimal. This
"static factory method" is provided in preference to
a (long, int) constructor because it
allows for reuse of frequently used BigDecimal values..
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| public static BigDecimal | valueOf(long val) Details
Translates a long value into a BigDecimal
with a scale of zero. This "static factory method"
is provided in preference to a (long) constructor
because it allows for reuse of frequently used
BigDecimal values.
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| public static BigDecimal | valueOf(double val) Details
Translates a double into a BigDecimal, using
the double's canonical string representation provided
by the Double#toString(double) method.
Note: This is generally the preferred way to convert
a double (or float) into a
BigDecimal, as the value returned is equal to that
resulting from constructing a BigDecimal from the
result of using
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| Properties | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| public BigDecimal | setScale(int newScale, RoundingMode roundingMode) Details
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.
| ||||||||||||
| public BigDecimal | setScale(int newScale, int roundingMode) Details
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.
Note that 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 setX mutate field X. Instead, setScale returns an object with the proper scale; the returned object may or may not be newly allocated. The new
| ||||||||||||
| public BigDecimal | setScale(int newScale) Details
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. Note that 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 setX mutate field X. Instead, setScale returns an object with the proper scale; the returned object may or may not be newly allocated.
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