Package edu.jas.gb

Class GroebnerBaseSeqPairParallel<C extends RingElem<C>>

java.lang.Object

edu.jas.gb.GroebnerBaseAbstract<C>

edu.jas.gb.GroebnerBaseSeqPairParallel<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

GroebnerBase<C>, java.io.Serializable

public class GroebnerBaseSeqPairParallel<C extends RingElem<C>>
extends GroebnerBaseAbstract<C>

Groebner Base parallel algorithm. Makes some effort to produce the same sequence of critical pairs as in the sequential version. However already reduced pairs are not rereduced if new polynomials appear. Implements a shared memory parallel version of Groebner bases. Slaves maintain pairlist.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
protected java.util.concurrent.ExecutorService	pool	Pool of threads to use.
protected int	threads	Number of threads to use.

Fields inherited from class edu.jas.gb.GroebnerBaseAbstract

blas, red, strategy

Constructor Summary

Constructors

Constructor	Description
GroebnerBaseSeqPairParallel()	Constructor.
GroebnerBaseSeqPairParallel(int threads)	Constructor.
GroebnerBaseSeqPairParallel(int threads, Reduction<C> red)	Constructor.
GroebnerBaseSeqPairParallel(int threads, java.util.concurrent.ExecutorService pool)	Constructor.
GroebnerBaseSeqPairParallel(int threads, java.util.concurrent.ExecutorService pool, Reduction<C> red)	Constructor.

Method Summary

Modifier and Type	Method	Description
int	cancel()	Cancel ExecutorService.
java.util.List<GenPolynomial<C>>	GB(int modv, java.util.List<GenPolynomial<C>> F)	Parallel Groebner base using sequential pair order class.
java.util.List<GenPolynomial<C>>	minimalGB(java.util.List<GenPolynomial<C>> Fp)	Minimal ordered groebner basis, parallel.
void	terminate()	Cleanup and terminate ExecutorService.

Methods inherited from class edu.jas.gb.GroebnerBaseAbstract

commonZeroTest, constructUnivariate, extGB, extGB, GB, GB, GB, isGB, isGB, isGB, isGB, isGB, isGB, isGBidem, isGBsimple, isMinimalGB, isMinReductionMatrix, isMinReductionMatrix, isReductionMatrix, isReductionMatrix, minimalExtendedGB, normalizeMatrix, normalizeZerosOnes, toString, univariateDegrees

Methods inherited from class java.lang.Object

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

Field Detail

threads

protected final int threads

Number of threads to use.

pool

protected final transient java.util.concurrent.ExecutorService pool

Pool of threads to use.

Constructor Detail

GroebnerBaseSeqPairParallel

public GroebnerBaseSeqPairParallel()

Constructor.

GroebnerBaseSeqPairParallel

public GroebnerBaseSeqPairParallel(int threads)

Constructor.

Parameters:

threads - number of threads to use.

GroebnerBaseSeqPairParallel

public GroebnerBaseSeqPairParallel(int threads,
                                   java.util.concurrent.ExecutorService pool)

Constructor.

Parameters:

threads - number of threads to use.

pool - ExecutorService to use.

GroebnerBaseSeqPairParallel

public GroebnerBaseSeqPairParallel(int threads,
                                   Reduction<C> red)

Constructor.

Parameters:

threads - number of threads to use.

red - parallelism aware reduction engine

GroebnerBaseSeqPairParallel

public GroebnerBaseSeqPairParallel(int threads,
                                   java.util.concurrent.ExecutorService pool,
                                   Reduction<C> red)

Constructor.

Parameters:

threads - number of threads to use.

pool - ExecutorService to use.

red - parallelism aware reduction engine

Method Detail

terminate

public void terminate()

Cleanup and terminate ExecutorService.

Overrides:

terminate in class GroebnerBaseAbstract<C extends RingElem<C>>

cancel

public int cancel()

Cancel ExecutorService.

Overrides:

cancel in class GroebnerBaseAbstract<C extends RingElem<C>>

GB

public java.util.List<GenPolynomial<C>> GB(int modv,
                                           java.util.List<GenPolynomial<C>> F)

Parallel Groebner base using sequential pair order class. Slaves maintain pairlist.

Parameters:

modv - number of module variables.

F - polynomial list.

Returns:

GB(F) a Groebner base of F.

minimalGB

public java.util.List<GenPolynomial<C>> minimalGB(java.util.List<GenPolynomial<C>> Fp)

Minimal ordered groebner basis, parallel.

Specified by:

minimalGB in interface GroebnerBase<C extends RingElem<C>>

Overrides:

minimalGB in class GroebnerBaseAbstract<C extends RingElem<C>>

Parameters:

Fp - a Groebner base.

Returns:

minimalGB(F) a minimal Groebner base of Fp.