edu.jas.structure

Interface AbelianGroupElem<C extends AbelianGroupElem<C>>

Type Parameters:

C - element type

All Superinterfaces:

java.lang.Comparable<C>, Element<C>, java.io.Serializable

All Known Subinterfaces:

AlgebraElem<A,C>, FieldElem<C>, GcdRingElem<C>, ModulElem<M,C>, NoncomRingElem<C>, Polynomial<C>, RegularRingElem<C>, RingElem<C>, StarRingElem<C>

All Known Implementing Classes:

AlgebraicNumber, BigComplex, BigDecimal, BigDecimalComplex, BigInteger, BigOctonion, BigQuaternion, BigRational, Complex, ComplexAlgebraicNumber, ExpVector, ExpVectorByte, ExpVectorInteger, ExpVectorLong, ExpVectorShort, GenMatrix, GenPolynomial, GenSolvablePolynomial, GenVector, GenWordPolynomial, Local, Local, LocalSolvablePolynomial, ModInteger, ModLong, MultiVarPowerSeries, Product, QLRSolvablePolynomial, Quotient, Quotient, QuotSolvablePolynomial, RealAlgebraicNumber, RealAlgebraicNumber, RecSolvablePolynomial, RecSolvableWordPolynomial, Residue, Residue, ResidueSolvablePolynomial, ResidueSolvableWordPolynomial, SolvableLocal, SolvableLocalResidue, SolvableQuotient, SolvableResidue, UnivPowerSeries, WordResidue

public interface AbelianGroupElem<C extends AbelianGroupElem<C>>
extends Element<C>

Abelian group element interface. Defines the additive methods.

Author:

Heinz Kredel

Method Summary

Modifier and Type	Method and Description
C	abs() Absolute value of this.
boolean	isZERO() Test if this is zero.
C	negate() Negate this.
int	signum() Signum.
C	subtract(C S) Subtract S from this.
C	sum(C S) Sum of this and S.

Methods inherited from interface edu.jas.structure.Element

compareTo, copy, equals, factory, hashCode, toScript, toScriptFactory

Method Detail

isZERO

boolean isZERO()

Test if this is zero.

Returns:

true if this is 0, else false.

signum

int signum()

Signum.

Returns:

the sign of this.

sum

C sum(C S)

Sum of this and S.

Parameters:

S -

Returns:

this + S.

subtract

C subtract(C S)

Subtract S from this.

Parameters:

S -

Returns:

this - S.

negate

C negate()

Negate this.

Returns:

- this.

abs

C abs()

Absolute value of this.

Returns:

|this|.