org.jscience.mathematics.algebraic.fields
Class RationalField

java.lang.Object
  org.jscience.mathematics.algebraic.fields.RationalField

All Implemented Interfaces:

Field, Ring, AbelianGroup

public final class RationalField
extends java.lang.Object
implements Field

The RationalField class encapsulates the field of rational numbers.

Nested Class Summary

Nested classes/interfaces inherited from interface org.jscience.mathematics.algebraic.fields.Field

Field.Member

Field Summary

static Rational	NEGATIVE_INFINITY DOCUMENT ME!
static Rational	ONE DOCUMENT ME!
static Rational	POSITIVE_INFINITY DOCUMENT ME!
static Rational	ZERO DOCUMENT ME!

Method Summary

static RationalField	getInstance() Constructs a field of rational numbers.
boolean	isInverse(Field.Member a, Field.Member b) Returns true if one real number is the inverse of the other.
boolean	isNegative(AbelianGroup.Member a, AbelianGroup.Member b) Returns true if one real number is the negative of the other.
boolean	isOne(Ring.Member r) Returns true if the real number is equal to one.
boolean	isZero(AbelianGroup.Member g) Returns true if the real number is equal to zero.
Ring.Member	one() Returns the real number one.
AbelianGroup.Member	zero() Returns the real number zero.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

ZERO

public static final Rational ZERO

DOCUMENT ME!

ONE

public static final Rational ONE

DOCUMENT ME!

NEGATIVE_INFINITY

public static final Rational NEGATIVE_INFINITY

DOCUMENT ME!

POSITIVE_INFINITY

public static final Rational POSITIVE_INFINITY

DOCUMENT ME!

Method Detail

getInstance

public static final RationalField getInstance()

Constructs a field of rational numbers. Singleton.

Returns:

DOCUMENT ME!

zero

public AbelianGroup.Member zero()

Returns the real number zero.

Specified by:

zero in interface AbelianGroup

Returns:

DOCUMENT ME!

isZero

public boolean isZero(AbelianGroup.Member g)

Returns true if the real number is equal to zero.

Specified by:

isZero in interface AbelianGroup

Parameters:

g - DOCUMENT ME!

Returns:

DOCUMENT ME!

isNegative

public boolean isNegative(AbelianGroup.Member a,
                          AbelianGroup.Member b)

Returns true if one real number is the negative of the other.

Specified by:

isNegative in interface AbelianGroup

Parameters:

a - DOCUMENT ME!

b - DOCUMENT ME!

Returns:

DOCUMENT ME!

one

public Ring.Member one()

Returns the real number one.

Specified by:

one in interface Ring

Returns:

DOCUMENT ME!

isOne

public boolean isOne(Ring.Member r)

Returns true if the real number is equal to one.

Specified by:

isOne in interface Ring

Parameters:

r - DOCUMENT ME!

Returns:

DOCUMENT ME!

isInverse

public boolean isInverse(Field.Member a,
                         Field.Member b)

Returns true if one real number is the inverse of the other.

Specified by:

isInverse in interface Field

Parameters:

a - DOCUMENT ME!

b - DOCUMENT ME!

Returns:

DOCUMENT ME!