Package edu.jas.fd

Class GCDcoFactors<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.fd.GCDcoFactors<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

java.io.Serializable

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

Container for the co-factors of left-right GCD computation. Invariant is left * coA * right = polyA and left * coB * right = polyB.

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
GenSolvablePolynomial<C>	coA	Co-factor of A.
GenSolvablePolynomial<C>	coB	Co-factor of B.
GreatestCommonDivisorAbstract<C>	fd	GCD algorithm to use for verification.
GenSolvablePolynomial<C>	left	Left GCD of A and B.
GenSolvablePolynomial<C>	polyA	Original polynomial A of the GCD computation.
GenSolvablePolynomial<C>	polyB	Original polynomial B of the GCD computation.
GenSolvablePolynomial<C>	right	Right GCD of A and B.

Constructor Summary

Constructors

Constructor	Description
GCDcoFactors(GreatestCommonDivisorAbstract<C> g, GenSolvablePolynomial<C> a, GenSolvablePolynomial<C> b, GenSolvablePolynomial<C> ca, GenSolvablePolynomial<C> cb, GenSolvablePolynomial<C> l, GenSolvablePolynomial<C> r)	Constructor.

Method Summary

Modifier and Type	Method	Description
int	compareTo(GCDcoFactors<C> facs)	Comparison.
boolean	equals(java.lang.Object B)	Comparison with any other object.
int	hashCode()	Hash code for this GCDcoFactors.
boolean	isGCD()	Test if the invariants of this are fulfilled.
java.lang.String	toScript()	Get a scripting compatible string representation.
java.lang.String	toString()	Get the String representation.

Methods inherited from class java.lang.Object

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

Field Detail

fd

public final GreatestCommonDivisorAbstract<C extends GcdRingElem<C>> fd

GCD algorithm to use for verification.

polyA

public final GenSolvablePolynomial<C extends GcdRingElem<C>> polyA

Original polynomial A of the GCD computation.

polyB

public final GenSolvablePolynomial<C extends GcdRingElem<C>> polyB

Original polynomial B of the GCD computation.

coA

public final GenSolvablePolynomial<C extends GcdRingElem<C>> coA

Co-factor of A.

coB

public final GenSolvablePolynomial<C extends GcdRingElem<C>> coB

Co-factor of B.

left

public final GenSolvablePolynomial<C extends GcdRingElem<C>> left

Left GCD of A and B.

right

public final GenSolvablePolynomial<C extends GcdRingElem<C>> right

Right GCD of A and B.

Constructor Detail

GCDcoFactors

public GCDcoFactors(GreatestCommonDivisorAbstract<C> g,
                    GenSolvablePolynomial<C> a,
                    GenSolvablePolynomial<C> b,
                    GenSolvablePolynomial<C> ca,
                    GenSolvablePolynomial<C> cb,
                    GenSolvablePolynomial<C> l,
                    GenSolvablePolynomial<C> r)

Constructor.

Parameters:

g - GCD algorithm to use for verification.

a - polynomial A.

b - polynomial B.

ca - polynomial coA.

cb - polynomial coB.

l - polynomial left GCD.

r - polynomial right GCD.

Method Detail

isGCD

public boolean isGCD()

Test if the invariants of this are fulfilled.

Returns:

true if x * (left * coA * right) = y * (polyA), for x, y with x * lc(left * coA * right) == y * lc(polyA) and x * (left * coB * right) == y * (polyB), for x, y with x * lc(left * coB * right) == y * lc(polyB).

toString

public java.lang.String toString()

Get the String representation.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

toScript

public java.lang.String toScript()

Get a scripting compatible string representation.

Returns:

script compatible representation for this container.

See Also:

ElemFactory.toScript()

hashCode

public int hashCode()

Hash code for this GCDcoFactors.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()

equals

public boolean equals(java.lang.Object B)

Comparison with any other object.

Overrides:

equals in class java.lang.Object

See Also:

Object.equals(java.lang.Object)

compareTo

public int compareTo(GCDcoFactors<C> facs)

Comparison.

Parameters:

facs - gcd co-factors container.

Returns:

sign(this.polyA-facs.polyA) lexicographic > sign(this.polyB-facs.polyB) lexicographic > sign(this.coA-facs.coA) lexicographic > sign(this.coB-facs.coB) lexicographic > sign(this.left-facs.left) lexicographic > sign(this.right-facs.right).