AbelianGroupElem

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, BigQuaternionInteger, BigRational, Complex, ComplexAlgebraicNumber, ExpVector, ExpVectorByte, ExpVectorInteger, ExpVectorLong, ExpVectorShort, GenExteriorPolynomial, GenMatrix, GenPolynomial, GenSolvablePolynomial, GenVector, GenWordPolynomial, Local, Local, LocalSolvablePolynomial, ModInt, 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

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	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|.