edu.jas.structure
Interface RingElem<C extends RingElem<C>>

All Superinterfaces:

AbelianGroupElem<C>, java.lang.Cloneable, java.lang.Comparable<C>, Element<C>, MonoidElem<C>, java.io.Serializable

All Known Subinterfaces:

AlgebraElem<A,C>, GcdRingElem<C>, StarRingElem<C>

All Known Implementing Classes:

AlgebraicNumber, BigComplex, BigDecimal, BigInteger, BigOctonion, BigQuaternion, BigRational, GenMatrix, GenPolynomial, GenSolvablePolynomial, Local, Local, ModInteger, Quotient, Quotient, Residue, Residue

public interface RingElem<C extends RingElem<C>>
extends AbelianGroupElem<C>, MonoidElem<C>

Ring element interface. Combines aditive and multiplicative methods. Adds also gcd because of polynomials.

Author:

Heinz Kredel

Type parameter:

C element type.

Method Summary

C[]	egcd(C b) Extended greatest common divisor.
C	gcd(C b) Greatest common divisor.

Methods inherited from interface edu.jas.structure.AbelianGroupElem

abs, isZERO, negate, signum, subtract, sum

Methods inherited from interface edu.jas.structure.MonoidElem

divide, inverse, isONE, isUnit, multiply, remainder

Methods inherited from interface edu.jas.structure.Element

clone, compareTo, equals, hashCode

Method Detail

gcd

C gcd(C b)

Greatest common divisor.

Parameters:

b - other element.

Returns:

gcd(this,b).

egcd

C[] egcd(C b)

Extended greatest common divisor.

Parameters:

b - other element.

Returns:

[ gcd(this,b), c1, c2 ] with c1*this + c2*b = gcd(this,b).