org.jscience.mathematics.number
Class Rational

java.lang.Object
  java.lang.Number
      org.jscience.mathematics.number.Number<Rational>
          org.jscience.mathematics.number.Rational

All Implemented Interfaces:

java.io.Serializable, java.lang.Comparable<Rational>, javolution.lang.Immutable, javolution.lang.Realtime, javolution.lang.ValueType, javolution.xml.XMLSerializable, Field<Rational>, GroupAdditive<Rational>, GroupMultiplicative<Rational>, Ring<Rational>, Structure<Rational>

public final class Rational
extends Number<Rational>
implements Field<Rational>

This class represents the ratio of two LargeInteger numbers.

Instances of this class are immutable and can be used to find exact solutions to linear equations with the Matrix class.

Version:

3.0, February 13, 2006

Author:

Jean-Marie Dautelle

See Also:

Wikipedia: Rational Numbers, Serialized Form

Field Summary

static Rational	ONE The Rational representing the multiplicative identity.
static Rational	ZERO The Rational representing the additive identity.

Method Summary

Rational	abs() Returns the absolute value of this rational number.
int	compareTo(Rational that) Compares two rational number numerically.
Rational	copy() Returns a copy of this number allocated by the calling thread (possibly on the stack).
Rational	divide(Rational that) Returns this rational number divided by the one specified.
double	doubleValue() Returns the value of this rational number as a double.
boolean	equals(java.lang.Object that) Compares this rational number against the specified object.
LargeInteger	getDividend() Returns the smallest dividend of the fraction representing this rational number.
LargeInteger	getDivisor() Returns the smallest divisor of the fraction representing this rational (always positive).
int	hashCode() Returns the hash code for this rational number.
Rational	inverse() Returns the inverse of this rational number.
boolean	isLargerThan(Rational that) Compares the absolute value of two rational numbers.
boolean	isNegative() Indicates if this rational number is less than zero.
boolean	isPositive() Indicates if this rational number is greater than zero.
boolean	isZero() Indicates if this rational number is equal to zero.
long	longValue() Returns the value of this rational number as a long.
Rational	minus(Rational that) Returns the difference between this rational number and the one specified.
Rational	opposite() Returns the opposite of this rational number.
Rational	plus(Rational that) Returns the sum of this rational number with the one specified.
LargeInteger	round() Returns the closest integer value to this rational number.
Rational	times(long multiplier) Returns the product of this rational number with the specified long multiplier.
Rational	times(Rational that) Returns the product of this rational number with the one specified.
javolution.text.Text	toText() Returns the decimal text representation of this number.
static Rational	valueOf(java.lang.CharSequence chars) Returns the rational number for the specified character sequence.
static Rational	valueOf(LargeInteger dividend, LargeInteger divisor) Returns the rational number for the specified large integer dividend and divisor.
static Rational	valueOf(long dividend, long divisor) Returns the rational number for the specified integer dividend and divisor.

Methods inherited from class org.jscience.mathematics.number.Number

byteValue, floatValue, intValue, isGreaterThan, isLessThan, pow, shortValue, toString

Methods inherited from class java.lang.Object

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

Field Detail

ZERO

public static final Rational ZERO

The Rational representing the additive identity.

ONE

public static final Rational ONE

The Rational representing the multiplicative identity.

Method Detail

valueOf

public static Rational valueOf(long dividend,
                               long divisor)

Returns the rational number for the specified integer dividend and divisor.

Parameters:

dividend - the dividend value.

divisor - the divisor value.

Returns:

dividend / divisor

Throws:

java.lang.ArithmeticException - if divisor == 0

valueOf

public static Rational valueOf(LargeInteger dividend,
                               LargeInteger divisor)

Returns the rational number for the specified large integer dividend and divisor.

Parameters:

dividend - the dividend value.

divisor - the divisor value.

Returns:

dividend / divisor

Throws:

java.lang.ArithmeticException - if divisor.isZero()

valueOf

public static Rational valueOf(java.lang.CharSequence chars)

Returns the rational number for the specified character sequence.

Parameters:

chars - the character sequence.

Returns:

the corresponding rational number.

getDividend

public LargeInteger getDividend()

Returns the smallest dividend of the fraction representing this rational number.

Returns:

this rational dividend.

getDivisor

public LargeInteger getDivisor()

Returns the smallest divisor of the fraction representing this rational (always positive).

Returns:

this rational divisor.

round

public LargeInteger round()

Returns the closest integer value to this rational number.

Returns:

this rational rounded to the nearest integer.

opposite

public Rational opposite()

Returns the opposite of this rational number.

Specified by:

opposite in interface GroupAdditive<Rational>

Returns:

-this.

plus

public Rational plus(Rational that)

Returns the sum of this rational number with the one specified.

Specified by:

plus in interface GroupAdditive<Rational>

Parameters:

that - the rational number to be added.

Returns:

this + that.

minus

public Rational minus(Rational that)

Returns the difference between this rational number and the one specified.

Overrides:

minus in class Number<Rational>

Parameters:

that - the rational number to be subtracted.

Returns:

this - that.

times

public Rational times(long multiplier)

Returns the product of this rational number with the specified long multiplier.

Parameters:

multiplier - the long multiplier.

Returns:

this · multiplier.

times

public Rational times(Rational that)

Returns the product of this rational number with the one specified.

Specified by:

times in interface GroupMultiplicative<Rational>

Specified by:

times in interface Ring<Rational>

Parameters:

that - the rational number multiplier.

Returns:

this · that.

inverse

public Rational inverse()

Returns the inverse of this rational number.

Specified by:

inverse in interface GroupMultiplicative<Rational>

Returns:

1 / this.

Throws:

java.lang.ArithmeticException - if dividend.isZero()

divide

public Rational divide(Rational that)

Returns this rational number divided by the one specified.

Parameters:

that - the rational number divisor.

Returns:

this / that.

Throws:

java.lang.ArithmeticException - if that.equals(ZERO)

abs

public Rational abs()

Returns the absolute value of this rational number.

Returns:

|this|.

isZero

public boolean isZero()

Indicates if this rational number is equal to zero.

Returns:

this == 0

isPositive

public boolean isPositive()

Indicates if this rational number is greater than zero.

Returns:

this > 0

isNegative

public boolean isNegative()

Indicates if this rational number is less than zero.

Returns:

this < 0

isLargerThan

public boolean isLargerThan(Rational that)

Compares the absolute value of two rational numbers.

Specified by:

isLargerThan in class Number<Rational>

Parameters:

that - the rational number to be compared with.

Returns:

|this| > |that|

toText

public javolution.text.Text toText()

Returns the decimal text representation of this number.

Specified by:

toText in interface javolution.lang.Realtime

Specified by:

toText in class Number<Rational>

Returns:

the text representation of this number.

equals

public boolean equals(java.lang.Object that)

Compares this rational number against the specified object.

Specified by:

equals in class Number<Rational>

Parameters:

that - the object to compare with.

Returns:

true if the objects are the same; false otherwise.

hashCode

public int hashCode()

Returns the hash code for this rational number.

Specified by:

hashCode in class Number<Rational>

Returns:

the hash code value.

longValue

public long longValue()

Returns the value of this rational number as a long.

Specified by:

longValue in class Number<Rational>

Returns:

the numeric value represented by this rational after conversion to type long.

doubleValue

public double doubleValue()

Returns the value of this rational number as a double.

Specified by:

doubleValue in class Number<Rational>

Returns:

the numeric value represented by this rational after conversion to type double.

compareTo

public int compareTo(Rational that)

Compares two rational number numerically.

Specified by:

compareTo in interface java.lang.Comparable<Rational>

Specified by:

compareTo in class Number<Rational>

Parameters:

that - the rational number to compare with.

Returns:

-1, 0 or 1 as this rational number is numerically less than, equal to, or greater than that.

copy

public Rational copy()

Description copied from class: Number

Returns a copy of this number allocated by the calling thread (possibly on the stack).

Specified by:

copy in interface javolution.lang.ValueType

Specified by:

copy in class Number<Rational>

Returns:

an identical and independant copy of this number.