eu.bandm.tools.util

Class Rational

java.lang.Object

java.lang.Number

eu.bandm.tools.util.Rational

All Implemented Interfaces:

Serializable, Comparable<Rational>

@Runtime
public class Rational
extends Number
implements Comparable<Rational>

Realizing Rational numbers, internally based on BigInteger.

All results of arithmetic operations are normalized immediately.

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
static Function<Rational,Rational>	abs
static BiFunction<Rational,Rational,Rational>	add
static GenMonoid<BigInteger,Rational>	addition
static BiFunction<Rational,Rational,Rational>	divide
static Function<Rational,Rational>	inverse
static GenMonoid<BigInteger,Rational>	multiplication
static BiFunction<Rational,Rational,Rational>	multiply
static Function<Rational,Rational>	negate
static Rational	ONE
static Rational	ONE_HALF
protected static Map<Integer,BigInteger>	powerOfTen
static BiFunction<Rational,Rational,Rational>	subtract
static Rational	TWO
static Rational	ZERO

Method Summary

Modifier and Type	Method and Description
Rational	abs()
Rational	add(Rational x)
BigInteger	bigIntegerValue() Implies rounding according to Java default rules.
byte	byteValue()
int	compareTo(Rational x)
Rational	divide(Rational x)
double	doubleValue()
boolean	equals(Object o)
float	floatValue()
BigInteger	getDenominator()
BigInteger	getNumerator()
int	hashCode()
int	intValue()
int[]	intValues()
Rational	inverse()
boolean	isInteger()
boolean	isOne()
boolean	isZero()
long	longValue()
Rational	max(Rational x)
Rational	min(Rational x)
Rational	modulo(Rational x)
Rational	multiply(Rational x)
Rational	negate()
Rational	power(int n)
short	shortValue()
int	signum()
Rational	subtract(Rational x)
protected static BigInteger	tenPower(int exp)
String	toString()
static Rational	valueOf(BigDecimal n)
static Rational	valueOf(BigInteger n)
static Rational	valueOf(BigInteger n, BigInteger d)
static Rational	valueOf(long n)
static Rational	valueOf(long n, long d)
static Rational	valueOf(String n)

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

ZERO

public static final Rational ZERO

ONE

public static final Rational ONE

TWO

public static final Rational TWO

ONE_HALF

public static final Rational ONE_HALF

powerOfTen

protected static final Map<Integer,BigInteger> powerOfTen

negate

public static final Function<Rational,Rational> negate

inverse

public static final Function<Rational,Rational> inverse

abs

public static final Function<Rational,Rational> abs

add

public static final BiFunction<Rational,Rational,Rational> add

subtract

public static final BiFunction<Rational,Rational,Rational> subtract

multiply

public static final BiFunction<Rational,Rational,Rational> multiply

divide

public static final BiFunction<Rational,Rational,Rational> divide

addition

public static final GenMonoid<BigInteger,Rational> addition

multiplication

public static final GenMonoid<BigInteger,Rational> multiplication

Method Detail

valueOf

public static final Rational valueOf(long n)

getNumerator

public final BigInteger getNumerator()

getDenominator

public final BigInteger getDenominator()

isInteger

public final boolean isInteger()

isZero

public final boolean isZero()

isOne

public final boolean isOne()

valueOf

public static final Rational valueOf(String n)
                              throws NumberFormatException

Throws:

NumberFormatException

valueOf

public static final Rational valueOf(BigInteger n)

tenPower

protected static BigInteger tenPower(int exp)

valueOf

public static final Rational valueOf(BigDecimal n)

valueOf

public static final Rational valueOf(long n,
                                     long d)

valueOf

public static final Rational valueOf(BigInteger n,
                                     BigInteger d)

bigIntegerValue

public BigInteger bigIntegerValue()

Implies rounding according to Java default rules.

byteValue

public byte byteValue()

Overrides:

byteValue in class Number

shortValue

public short shortValue()

Overrides:

shortValue in class Number

intValue

public int intValue()

Specified by:

intValue in class Number

intValues

public int[] intValues()

longValue

public long longValue()

Specified by:

longValue in class Number

floatValue

public float floatValue()

Specified by:

floatValue in class Number

doubleValue

public double doubleValue()

Specified by:

doubleValue in class Number

add

public Rational add(Rational x)

subtract

public Rational subtract(Rational x)

negate

public Rational negate()

multiply

public Rational multiply(Rational x)

divide

public Rational divide(Rational x)

inverse

public Rational inverse()

power

public Rational power(int n)

modulo

public Rational modulo(Rational x)

signum

public int signum()

abs

public Rational abs()

min

public Rational min(Rational x)

max

public Rational max(Rational x)

equals

public boolean equals(Object o)

Overrides:

equals in class Object

compareTo

public int compareTo(Rational x)

Specified by:

compareTo in interface Comparable<Rational>

hashCode

public int hashCode()

Overrides:

hashCode in class Object

toString

public String toString()

Overrides:

toString in class Object