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>

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

Field Summary

Fields

Modifier and Type	Field and Description
protected ThreadPool	pool Pool of threads to use.
protected int	threads Number of threads to use.

Fields inherited from class edu.jas.gb.SolvableGroebnerBaseAbstract

blas, red, sred, strategy

Constructor Summary

Constructors

Constructor and Description
SolvableGroebnerBaseSeqPairParallel() Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads) Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads, SolvableReduction<C> red) Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads, ThreadPool pool) Constructor.
SolvableGroebnerBaseSeqPairParallel(int threads, ThreadPool pool, SolvableReduction<C> sred) Constructor.

Method Summary

Methods

Modifier and Type	Method and Description
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 ThreadPool.
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

extLeftGB, isLeftGB, isLeftGB, isLeftReductionMatrix, isLeftReductionMatrix, isRightGB, isRightGB, isTwosidedGB, isTwosidedGB, leftGB, rightGB, rightGB, twosidedGB

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 ThreadPool 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,
                                   ThreadPool pool)

Constructor.

Parameters:

threads - number of threads to use.

pool - ThreadPool 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,
                                   ThreadPool pool,
                                   SolvableReduction<C> sred)

Constructor.

Parameters:

threads - number of threads to use.

pool - ThreadPool to use.

sred - parallelism aware reduction engine

Method Detail

terminate

public void terminate()

Cleanup and terminate ThreadPool.

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.

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.