JSci.maths.polynomials
Class ComplexPolynomialRing

java.lang.Object
  JSci.maths.polynomials.ComplexPolynomialRing

All Implemented Interfaces:

AbelianGroup, Ring

public class ComplexPolynomialRing

extends java.lang.Object

implements Ring

Nested Class Summary

Nested classes inherited from class JSci.maths.fields.Ring

Ring.Member

Constructor Summary

protected

ComplexPolynomialRing() Creates a new instance of ComplexPolynomialRing

Method Summary

static ComplexPolynomialRing	getInstance() Singleton.
boolean	isNegative(AbelianGroup.Member a, AbelianGroup.Member b) Returns true if one member is the negative of the other.
boolean	isOne(Ring.Member r) Returns true if the member is the unit element.
boolean	isZero(AbelianGroup.Member g) Returns true if the member is the identity element of this group.
Ring.Member	one() Returns the unit element.
protected static Complex[]	toComplex(Field.Member[] f) Internal method for typesafe cast
AbelianGroup.Member	zero() Returns the identity element.

Methods inherited from class java.lang.Object

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

Constructor Detail

ComplexPolynomialRing

protected ComplexPolynomialRing()

Creates a new instance of ComplexPolynomialRing

Method Detail

getInstance

public static final ComplexPolynomialRing getInstance()

Singleton.

isNegative

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

Returns true if one member is the negative of the other.

Specified by:

isNegative in interface AbelianGroup

Parameters:

a - a group member

b - a group member

isOne

public boolean isOne(Ring.Member r)

Returns true if the member is the unit element.

Specified by:

isOne in interface Ring

isZero

public boolean isZero(AbelianGroup.Member g)

Returns true if the member is the identity element of this group.

Specified by:

isZero in interface AbelianGroup

Parameters:

g - a group member

one

public Ring.Member one()

Returns the unit element.

Specified by:

one in interface Ring

zero

public AbelianGroup.Member zero()

Returns the identity element.

Specified by:

zero in interface AbelianGroup

toComplex

protected static Complex[] toComplex(Field.Member[] f)

Internal method for typesafe cast