edu.jas.gb

Class OrderedMinPairlist<C extends RingElem<C>>

java.lang.Object

edu.jas.gb.OrderedPairlist<C>

edu.jas.gb.OrderedMinPairlist<C>

All Implemented Interfaces:

PairList<C>, java.io.Serializable

public class OrderedMinPairlist<C extends RingElem<C>>
extends OrderedPairlist<C>

Pair list management. The original Buchberger algorithm with criterions using early pair exclusion. Implemented using GenPolynomial, TreeMap and BitSet.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
OrderedMinPairlist() Constructor.
OrderedMinPairlist(GenPolynomialRing<C> r) Constructor.
OrderedMinPairlist(int m, GenPolynomialRing<C> r) Constructor.

Method Summary

Modifier and Type	Method and Description
PairList<C>	create(GenPolynomialRing<C> r) Create a new PairList.
PairList<C>	create(int m, GenPolynomialRing<C> r) Create a new PairList.
boolean	criterion3(int i, int j, ExpVector eij) GB criterium 3.
int	put(GenPolynomial<C> p) Put one Polynomial to the pairlist and reduction matrix.
Pair<C>	removeNext() Remove the next required pair from the pairlist and reduction matrix.

Methods inherited from class edu.jas.gb.OrderedPairlist

getList, hasNext, putCount, putOne, putOne, remCount, size, toString

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

OrderedMinPairlist

public OrderedMinPairlist()

Constructor.

OrderedMinPairlist

public OrderedMinPairlist(GenPolynomialRing<C> r)

Constructor.

Parameters:

r - polynomial factory.

OrderedMinPairlist

public OrderedMinPairlist(int m,
                          GenPolynomialRing<C> r)

Constructor.

Parameters:

m - number of module variables.

r - polynomial factory.

Method Detail

create

public PairList<C> create(GenPolynomialRing<C> r)

Create a new PairList.

Specified by:

create in interface PairList<C extends RingElem<C>>

Overrides:

create in class OrderedPairlist<C extends RingElem<C>>

Parameters:

r - polynomial ring.

create

public PairList<C> create(int m,
                          GenPolynomialRing<C> r)

Create a new PairList.

Specified by:

create in interface PairList<C extends RingElem<C>>

Overrides:

create in class OrderedPairlist<C extends RingElem<C>>

Parameters:

m - number of module variables.

r - polynomial ring.

put

public int put(GenPolynomial<C> p)

Put one Polynomial to the pairlist and reduction matrix.

Specified by:

put in interface PairList<C extends RingElem<C>>

Overrides:

put in class OrderedPairlist<C extends RingElem<C>>

Parameters:

p - polynomial.

Returns:

the index of the added polynomial.

removeNext

public Pair<C> removeNext()

Remove the next required pair from the pairlist and reduction matrix. Appy the criterions 3 and 4 to see if the S-polynomial is required.

Specified by:

removeNext in interface PairList<C extends RingElem<C>>

Overrides:

removeNext in class OrderedPairlist<C extends RingElem<C>>

Returns:

the next pair if one exists, otherwise null.

criterion3

public boolean criterion3(int i,
                          int j,
                          ExpVector eij)

GB criterium 3.

Specified by:

criterion3 in interface PairList<C extends RingElem<C>>

Overrides:

criterion3 in class OrderedPairlist<C extends RingElem<C>>

Returns:

true if the S-polynomial(i,j) is required.