org.jscience.mathematics.analysis.polynomials
Class ExactRealPolynomialRing

java.lang.Object
  org.jscience.mathematics.analysis.polynomials.ExactRealPolynomialRing

All Implemented Interfaces:

Ring, AbelianGroup

public class ExactRealPolynomialRing
extends java.lang.Object
implements Ring

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Nested Class Summary

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

Ring.Member

Field Summary

static ExactRealPolynomial	ONE DOCUMENT ME!
static ExactRealPolynomial	ZERO DOCUMENT ME!

Constructor Summary

protected

ExactRealPolynomialRing() Creates a new instance of PolynomialRing

Method Summary

static ExactRealPolynomialRing	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 ExactReal[]	toExactReal(ExactReal[] d) internal method for safe typecast
protected static ExactReal[]	toExactReal(Field.Member[] f) internal method for safe typecast
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

Field Detail

ZERO

public static final ExactRealPolynomial ZERO

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ONE

public static final ExactRealPolynomial ONE

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Constructor Detail

ExactRealPolynomialRing

protected ExactRealPolynomialRing()

Creates a new instance of PolynomialRing

Method Detail

getInstance

public static final ExactRealPolynomialRing getInstance()

Singleton.

Returns:

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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

Returns:

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Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

isOne

public boolean isOne(Ring.Member r)

Returns true if the member is the unit element.

Specified by:

isOne in interface Ring

Parameters:

r - DOCUMENT ME!

Returns:

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Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

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

Returns:

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Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

one

public Ring.Member one()

Returns the unit element.

Specified by:

one in interface Ring

Returns:

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zero

public AbelianGroup.Member zero()

Returns the identity element.

Specified by:

zero in interface AbelianGroup

Returns:

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toExactReal

protected static ExactReal[] toExactReal(Field.Member[] f)

internal method for safe typecast

Parameters:

f - DOCUMENT ME!

Returns:

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Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

toExactReal

protected static ExactReal[] toExactReal(ExactReal[] d)

internal method for safe typecast

Parameters:

d - DOCUMENT ME!

Returns:

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