org.jscience.mathematics.algebraic.fields
Class IntegerRing

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

All Implemented Interfaces:

Ring, AbelianGroup

public final class IntegerRing
extends java.lang.Object
implements Ring

The IntegerRing class encapsulates the ring of integer numbers.

Nested Class Summary

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

Ring.Member

Field Summary

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

Method Summary

static IntegerRing	getInstance() Constructs a ring of integer numbers.
boolean	isNegative(AbelianGroup.Member a, AbelianGroup.Member b) Returns true if one integer number is the negative of the other.
boolean	isOne(Ring.Member r) Returns true if the integer number is equal to one.
boolean	isZero(AbelianGroup.Member g) Returns true if the integer number is equal to zero.
Ring.Member	one() Returns the integer number one.
AbelianGroup.Member	zero() Returns the integer 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 Integer ZERO

DOCUMENT ME!

ONE

public static final Integer ONE

DOCUMENT ME!

NEGATIVE_INFINITY

public static final Integer NEGATIVE_INFINITY

DOCUMENT ME!

POSITIVE_INFINITY

public static final Integer POSITIVE_INFINITY

DOCUMENT ME!

Method Detail

getInstance

public static final IntegerRing getInstance()

Constructs a ring of integer numbers. Singleton.

Returns:

DOCUMENT ME!

zero

public AbelianGroup.Member zero()

Returns the integer number zero.

Specified by:

zero in interface AbelianGroup

Returns:

DOCUMENT ME!

isZero

public boolean isZero(AbelianGroup.Member g)

Returns true if the integer 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 integer 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 integer number one.

Specified by:

one in interface Ring

Returns:

DOCUMENT ME!

isOne

public boolean isOne(Ring.Member r)

Returns true if the integer number is equal to one.

Specified by:

isOne in interface Ring

Parameters:

r - DOCUMENT ME!

Returns:

DOCUMENT ME!