JSci.maths.fields
Class RealField

java.lang.Object
  JSci.maths.fields.RealField

All Implemented Interfaces:

Field, Ring, AbelianGroup

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

The RealField class encapsulates the field of real numbers.

Nested Class Summary

Nested classes/interfaces inherited from interface JSci.maths.fields.Field

Field.Member

Field Summary

static MathDouble	E
static MathDouble	GAMMA
static MathDouble	INFINITY
static MathDouble	NaN
static MathDouble	ONE
static MathDouble	PI
static MathDouble	ZERO

Method Summary

static RealField	getInstance() Constructs a field of real 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 MathDouble ZERO

ONE

public static final MathDouble ONE

PI

public static final MathDouble PI

E

public static final MathDouble E

GAMMA

public static final MathDouble GAMMA

INFINITY

public static final MathDouble INFINITY

NaN

public static final MathDouble NaN

Method Detail

getInstance

public static final RealField getInstance()

Constructs a field of real numbers. Singleton.

zero

public AbelianGroup.Member zero()

Returns the real number zero.

Specified by:

zero in interface AbelianGroup

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 - a group member

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 - a group member

b - a group member

one

public Ring.Member one()

Returns the real number one.

Specified by:

one in interface Ring

isOne

public boolean isOne(Ring.Member r)

Returns true if the real number is equal to one.

Specified by:

isOne in interface Ring

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