Package org.apache.sis.math
Class Fraction

 All Implemented Interfaces:
Serializable
,Comparable<Fraction>
public final class Fraction extends Number implements Comparable<Fraction>, Serializable
A value class for rational numbers.Fraction
objects are represented by a numerator and a denominator stored at 32 bits integers. Fractions can be simplified. AllFraction
instances are immutable and thus inherently threadsafe. Since:
 0.8
 See Also:
 Serialized Form
Defined in the
sisutility
module


Field Summary
Fields Modifier and Type Field Description int
denominator
The b term in the a/b fraction.int
numerator
The a term in the a/b fraction.

Method Summary
All Methods Static Methods Instance Methods Concrete Methods Modifier and Type Method Description Fraction
add(Fraction other)
Returns the simplified result of adding the given fraction to this fraction.byte
byteValue()
Returns this fraction rounded toward zero, if the result can be represented as a signed byte.int
ceil()
Returns this fraction rounded toward positive infinity.int
compareTo(Fraction other)
Compares this fraction with the given one for order.Fraction
divide(Fraction other)
Returns the simplified result of dividing this fraction by the given fraction.double
doubleValue()
Returns the fraction as a doubleprecision floating point number.boolean
equals(Object other)
Compares this fraction with the given object for equality.float
floatValue()
Returns the fraction as a singleprecision floating point number.int
floor()
Returns this fraction rounded toward negative infinity.int
hashCode()
Returns a hash code value for this fraction.int
intValue()
Returns this fraction rounded toward zero.long
longValue()
Returns this fraction rounded toward zero.Fraction
multiply(Fraction other)
Returns the simplified result of multiplying the given fraction with this fraction.Fraction
negate()
Returns the negative value of this fraction.int
round()
Returns this fraction rounded toward nearest integer.short
shortValue()
Returns this fraction rounded toward zero, if the result can be represented as a short integer.int
signum()
Returns the sign of this fraction.Fraction
simplify()
Returns a fraction equivalent tothis
but represented by the smallest possible numerator and denominator values.Fraction
subtract(Fraction other)
Returns the simplified result of subtracting the given fraction from this fraction.String
toString()
Returns a string representation of this fraction.Fraction
unique()
Returns a unique fraction instance equals tothis
.static Fraction
valueOf(double value)
Converts the given IEEE 754 doubleprecision value to a fraction.



Field Detail

numerator
public final int numerator
The a term in the a/b fraction. Can be positive, negative or zero. See Also:
doubleValue()

denominator
public final int denominator
The b term in the a/b fraction. Can be positive, negative or zero. If zero, then the fraction floating point value will be positive infinity, negative infinity or NaN depending on the numerator value. See Also:
doubleValue()


Constructor Detail

Fraction
public Fraction(int numerator, int denominator)
Creates a new fraction. This constructor stores the fraction exactly as specified; it does not simplify it. The fraction can be simplified after construction by a call tosimplify()
. Parameters:
numerator
 the a term in the a/b fraction.denominator
 the b term in the a/b fraction.

Fraction
public Fraction(String s) throws NumberFormatException
Creates a new fraction from the given text. This constructor is the converse oftoString()
method. It can parse single numbers like "3", fractions like "2/3", Unicode characters like "⅔" and infinity symbols "∞" and "−∞". The given text shall not contain spaces. Parameters:
s
 the text to parse. Throws:
NumberFormatException
 if the given text can not be parsed. Since:
 1.0


Method Detail

valueOf
public static Fraction valueOf(double value)
Converts the given IEEE 754 doubleprecision value to a fraction. If successful, this method returns a fraction such asdoubleValue()
is equal to the given value in the sense ofDouble.equals(Object)
: infinities, positive and negative zeros are preserved, but various NaN values are collapsed to a single NaN value.Design note: this method does not return approximated values because it is difficult to choose which fraction is best. For example choosing an approximated fraction for π value is quite arbitrary, and searching the fraction closer than any other fraction representable by this class is computationally expansive. Even with common fractions, the algorithm currently implemented in this class can detect that 1.6666666666666667 is equal to 5⁄3 but can not detect easily that 1.66666666666666 (same number with two decimal digits dropped) is close to 5⁄3.This method accepts only values between 2147483648 and 2147483647 inclusive, i.e. values in the range of 32bits integers. If the given value has fraction digits, then the validity range will be smaller depending on the denominator required for representing that value. Parameters:
value
 the doubleprecision value to convert to a fraction. Returns:
 a fraction such as
doubleValue()
is equals to the given value.  Throws:
IllegalArgumentException
 if the given value can not be converted to a fraction. Since:
 1.0

unique
public Fraction unique()
Returns a unique fraction instance equals tothis
. If this method has been invoked previously on anotherFraction
with the same value thanthis
, then that previous instance is returned (provided that it has not yet been garbage collected). Otherwise this method adds this fraction to the pool of fractions that may be returned in nextunique()
invocations, then returnsthis
.This method is useful for saving memory when a potentially large amount of
Fraction
instances will be kept for a long time and many instances are likely to have the same values. It is usually not worth to invoke this method for shortlived instances. Returns:
 a unique instance of a fraction equals to
this
.

simplify
public Fraction simplify()
Returns a fraction equivalent tothis
but represented by the smallest possible numerator and denominator values. If this fraction can not be simplified, then this method returnsthis
. Returns:
 the simplest fraction equivalent to this fraction.

negate
public Fraction negate()
Returns the negative value of this fraction. This method does not simplify the fraction. Returns:
 the result of
this
.  Throws:
ArithmeticException
 if the result overflows.

add
public Fraction add(Fraction other)
Returns the simplified result of adding the given fraction to this fraction. Parameters:
other
 the fraction to add to this fraction. Returns:
 the simplified result of
this
+other
.  Throws:
ArithmeticException
 if the result overflows.

subtract
public Fraction subtract(Fraction other)
Returns the simplified result of subtracting the given fraction from this fraction. Parameters:
other
 the fraction to subtract from this fraction. Returns:
 the simplified result of
this
other
.  Throws:
ArithmeticException
 if the result overflows.

multiply
public Fraction multiply(Fraction other)
Returns the simplified result of multiplying the given fraction with this fraction. Parameters:
other
 the fraction to multiply with this fraction. Returns:
 the simplified result of
this
×other
.  Throws:
ArithmeticException
 if the result overflows.

divide
public Fraction divide(Fraction other)
Returns the simplified result of dividing this fraction by the given fraction. Parameters:
other
 the fraction by which to divide this fraction. Returns:
 the simplified result of
this
∕other
.  Throws:
ArithmeticException
 if the result overflows.

round
public int round()
Returns this fraction rounded toward nearest integer. If the result is located at equal distance from the two nearest integers, then rounds to the even one. Returns:
numerator
/denominator
rounded toward nearest integer.

floor
public int floor()
Returns this fraction rounded toward negative infinity. This is different from the default operation on primitive types, which rounds toward zero.Tip: if the numerator and the denominator are both positive or both negative, then the result is positive and identical to
numerator / denominator
. Returns:
numerator
/denominator
rounded toward negative infinity.

ceil
public int ceil()
Returns this fraction rounded toward positive infinity. This is different from the default operation on primitive types, which rounds toward zero. Returns:
numerator
/denominator
rounded toward positive infinity.

doubleValue
public double doubleValue()
Returns the fraction as a doubleprecision floating point number. Special cases: If the numerator and the denominator are both 0,
then this method returns
Double.NaN
.  If only the denominator is zero, then this method returns positive infinity or negative infinity accordingly the numerator sign.
 Specified by:
doubleValue
in classNumber
 Returns:
 this fraction as a floating point number.
 If the numerator and the denominator are both 0,
then this method returns

floatValue
public float floatValue()
Returns the fraction as a singleprecision floating point number. Special cases: If the numerator and the denominator are both 0,
then this method returns
Float.NaN
.  If only the denominator is zero, then this method returns positive infinity or negative infinity accordingly the numerator sign.
 Specified by:
floatValue
in classNumber
 Returns:
 this fraction as a floating point number.
 If the numerator and the denominator are both 0,
then this method returns

longValue
public long longValue()
Returns this fraction rounded toward zero. Specified by:
longValue
in classNumber
 Returns:
 this fraction rounded toward zero.

intValue
public int intValue()
Returns this fraction rounded toward zero.

shortValue
public short shortValue()
Returns this fraction rounded toward zero, if the result can be represented as a short integer. Overrides:
shortValue
in classNumber
 Returns:
 this fraction rounded toward zero.
 Throws:
ArithmeticException
 if the result can not be represented as a short integer.

byteValue
public byte byteValue()
Returns this fraction rounded toward zero, if the result can be represented as a signed byte. Overrides:
byteValue
in classNumber
 Returns:
 this fraction rounded toward zero.
 Throws:
ArithmeticException
 if the result can not be represented as a signed byte.

signum
public int signum()
Returns the sign of this fraction. The return value is 1 if this fraction is negative; 0 if the numerator is zero; and 1 if this fraction is positive. Returns:
 the sign of this fraction.
 Since:
 1.0
 See Also:
Integer.signum(int)

compareTo
public int compareTo(Fraction other)
Compares this fraction with the given one for order. Specified by:
compareTo
in interfaceComparable<Fraction>
 Parameters:
other
 the fraction to compare to this fraction for ordering. Returns:
 a negative number if this fraction is smaller than the given fraction, a positive number if greater, or 0 if equals.

equals
public boolean equals(Object other)
Compares this fraction with the given object for equality. This method returnstrue
only if the two objects are fractions with same numerator and denominator values. Fractions with different values are not considered equal even if the two fraction are equivalent.

hashCode
public int hashCode()
Returns a hash code value for this fraction.

