edu.jas.gbufd

Class MultiplicativeSet<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.gbufd.MultiplicativeSet<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

java.io.Serializable

Direct Known Subclasses:

MultiplicativeSetCoPrime, MultiplicativeSetFactors, MultiplicativeSetSquarefree

public class MultiplicativeSet<C extends GcdRingElem<C>>
extends java.lang.Object
implements java.io.Serializable

Multiplicative set of polynomials. a, b in M implies a*b in M, 1 in M.

Author:

Heinz Kredel.

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
java.util.List<GenPolynomial<C>>	mset Data structure.
GenPolynomialRing<C>	ring Polynomial ring factory.

Constructor Summary

Constructors

Modifier	Constructor and Description
	MultiplicativeSet(GenPolynomialRing<C> ring) MultiplicativeSet constructor.
protected	MultiplicativeSet(GenPolynomialRing<C> ring, java.util.List<GenPolynomial<C>> ms) MultiplicativeSet constructor.

Method Summary

Methods

Modifier and Type	Method and Description
MultiplicativeSet<C>	add(GenPolynomial<C> cc) Add polynomial to mset.
boolean	contains(GenPolynomial<C> c) Test if a polynomial is contained in this multiplicative set.
boolean	contains(java.util.List<GenPolynomial<C>> L) Test if a list of polynomials is contained in multiplicative set.
boolean	equals(java.lang.Object ob) Equals.
int	hashCode() Hash code for this condition.
boolean	isEmpty() Is set.
GenPolynomial<C>	removeFactors(GenPolynomial<C> cc) Remove factors by mset factors division.
java.util.List<GenPolynomial<C>>	removeFactors(java.util.List<GenPolynomial<C>> L) Remove factors by mset factors division.
MultiplicativeSet<C>	replace(java.util.List<GenPolynomial<C>> L) Replace polynomial list of mset.
java.lang.String	toString() toString.

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

mset

public final java.util.List<GenPolynomial<C extends GcdRingElem<C>>> mset

Data structure.

ring

public final GenPolynomialRing<C extends GcdRingElem<C>> ring

Polynomial ring factory.

Constructor Detail

MultiplicativeSet

public MultiplicativeSet(GenPolynomialRing<C> ring)

MultiplicativeSet constructor. Constructs an empty multiplicative set.

Parameters:

ring - polynomial ring factory for coefficients.

MultiplicativeSet

protected MultiplicativeSet(GenPolynomialRing<C> ring,
                 java.util.List<GenPolynomial<C>> ms)

MultiplicativeSet constructor.

Parameters:

ring - polynomial ring factory for coefficients.

ms - a list of non-zero polynomials.

Method Detail

toString

public java.lang.String toString()

toString.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

equals

public boolean equals(java.lang.Object ob)

Equals.

Overrides:

equals in class java.lang.Object

Parameters:

ob - an Object.

Returns:

true if this is equal to o, else false.

hashCode

public int hashCode()

Hash code for this condition.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()

isEmpty

public boolean isEmpty()

Is set.

Returns:

true if this is the empty set, else false.

contains

public boolean contains(GenPolynomial<C> c)

Test if a polynomial is contained in this multiplicative set.

Parameters:

c - polynomial searched in mset.

Returns:

true, if c = prod_{m in mset} m, else false

contains

public boolean contains(java.util.List<GenPolynomial<C>> L)

Test if a list of polynomials is contained in multiplicative set.

Parameters:

L - list of polynomials to be searched in mset.

Returns:

true, if all c in L are in mset, else false

add

public MultiplicativeSet<C> add(GenPolynomial<C> cc)

Add polynomial to mset.

Parameters:

cc - polynomial to be added to mset.

Returns:

new multiplicative set. Note: must be overridden in sub-classes.

replace

public MultiplicativeSet<C> replace(java.util.List<GenPolynomial<C>> L)

Replace polynomial list of mset.

Parameters:

L - polynomial list to replace mset.

Returns:

new multiplicative set. Note: must be overridden in sub-classes.

removeFactors

public GenPolynomial<C> removeFactors(GenPolynomial<C> cc)

Remove factors by mset factors division.

Parameters:

cc - polynomial to be removed factors from mset.

Returns:

quotient polynomial.

removeFactors

public java.util.List<GenPolynomial<C>> removeFactors(java.util.List<GenPolynomial<C>> L)

Remove factors by mset factors division.

Parameters:

L - list of polynomial to be removed factors from mset.

Returns:

quotient polynomial list.