Package edu.jas.gb

Class SolvableGroebnerBaseSeqPairParallel<C extends RingElem<C>>

java.lang.Object

edu.jas.gb.SolvableGroebnerBaseAbstract<C>

edu.jas.gb.SolvableGroebnerBaseSeqPairParallel<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

SolvableGroebnerBase<C>, java.io.Serializable

public class SolvableGroebnerBaseSeqPairParallel<C extends RingElem<C>>
extends SolvableGroebnerBaseAbstract<C>

Solvable 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. Threads 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.SolvableGroebnerBaseAbstract

blas, cbb, red, sred, strategy

Constructor Summary

Constructors

Constructor	Description
SolvableGroebnerBaseSeqPairParallel()	Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads)	Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads, SolvableReduction<C> red)	Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads, java.util.concurrent.ExecutorService pool)	Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads, java.util.concurrent.ExecutorService pool, SolvableReduction<C> sred)	Constructor.

Method Summary

Modifier and Type	Method	Description
int	cancel()	Cancel ExecutorService.
SolvableExtendedGB<C>	extLeftGB(int modv, java.util.List<GenSolvablePolynomial<C>> F)	Solvable Extended Groebner base using critical pair class.
java.util.List<GenSolvablePolynomial<C>>	leftGB(int modv, java.util.List<GenSolvablePolynomial<C>> F)	Parallel Groebner base using sequential pair order class.
java.util.List<GenSolvablePolynomial<C>>	leftMinimalGB(java.util.List<GenSolvablePolynomial<C>> Fp)	Minimal ordered groebner basis, parallel.
void	terminate()	Cleanup and terminate ExecutorService.
java.util.List<GenSolvablePolynomial<C>>	twosidedGB(int modv, java.util.List<GenSolvablePolynomial<C>> Fp)	Twosided Groebner base using pairlist class.

Methods inherited from class edu.jas.gb.SolvableGroebnerBaseAbstract

commonZeroTest, constructUnivariate, constructUnivariate, extLeftGB, isLeftGB, isLeftGB, isLeftGB, isLeftGB, isLeftGB, isLeftGB, isLeftGBidem, isLeftGBsimple, isLeftReductionMatrix, isLeftReductionMatrix, isRightGB, isRightGB, isRightGB, isRightGB, isRightGBidem, isRightGBidem, isTwosidedGB, isTwosidedGB, isTwosidedGB, isTwosidedGB, isTwosidedGBidem, isTwosidedGBidem, leftGB, leftGB, leftGB, normalizeZerosOnes, rightGB, rightGB, rightGB, rightMinimalGB, twosidedGB, twosidedGB, twosidedGB, univariateDegrees

Methods inherited from class java.lang.Object

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

SolvableGroebnerBaseSeqPairParallel

public SolvableGroebnerBaseSeqPairParallel()

Constructor.

SolvableGroebnerBaseSeqPairParallel

public SolvableGroebnerBaseSeqPairParallel(int threads)

Constructor.

Parameters:

threads - number of threads to use.

SolvableGroebnerBaseSeqPairParallel

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

Constructor.

Parameters:

threads - number of threads to use.

pool - ExecutorService to use.

SolvableGroebnerBaseSeqPairParallel

public SolvableGroebnerBaseSeqPairParallel(int threads,
                                           SolvableReduction<C> red)

Constructor.

Parameters:

threads - number of threads to use.

red - parallelism aware reduction engine

SolvableGroebnerBaseSeqPairParallel

public SolvableGroebnerBaseSeqPairParallel(int threads,
                                           java.util.concurrent.ExecutorService pool,
                                           SolvableReduction<C> sred)

Constructor.

Parameters:

threads - number of threads to use.

pool - ExecutorService to use.

sred - parallelism aware reduction engine

Method Detail

terminate

public void terminate()

Cleanup and terminate ExecutorService.

Overrides:

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

cancel

public int cancel()

Cancel ExecutorService.

Overrides:

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

leftGB

public java.util.List<GenSolvablePolynomial<C>> leftGB(int modv,
                                                       java.util.List<GenSolvablePolynomial<C>> F)

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

Parameters:

modv - number of module variables.

F - polynomial list.

Returns:

GB(F) a Groebner base of F.

leftMinimalGB

public java.util.List<GenSolvablePolynomial<C>> leftMinimalGB(java.util.List<GenSolvablePolynomial<C>> Fp)

Minimal ordered groebner basis, parallel.

Specified by:

leftMinimalGB in interface SolvableGroebnerBase<C extends RingElem<C>>

Overrides:

leftMinimalGB in class SolvableGroebnerBaseAbstract<C extends RingElem<C>>

Parameters:

Fp - a Groebner base.

Returns:

minimalGB(F) a minimal Groebner base of Fp.

extLeftGB

public SolvableExtendedGB<C> extLeftGB(int modv,
                                       java.util.List<GenSolvablePolynomial<C>> F)

Solvable Extended Groebner base using critical pair class.

Specified by:

extLeftGB in interface SolvableGroebnerBase<C extends RingElem<C>>

Overrides:

extLeftGB in class SolvableGroebnerBaseAbstract<C extends RingElem<C>>

Parameters:

modv - module variable number.

F - solvable polynomial list.

Returns:

a container for an extended left Groebner base of F.

twosidedGB

public java.util.List<GenSolvablePolynomial<C>> twosidedGB(int modv,
                                                           java.util.List<GenSolvablePolynomial<C>> Fp)

Twosided Groebner base using pairlist class.

Parameters:

modv - number of module variables.

Fp - solvable polynomial list.

Returns:

tsGB(Fp) a twosided Groebner base of F.