ModularRingFactory

All Superinterfaces:

AbelianGroupFactory<C>, ElemFactory<C>, java.lang.Iterable<C>, MonoidFactory<C>, RingFactory<C>, java.io.Serializable

All Known Implementing Classes:

ModIntegerRing, ModIntRing, ModLongRing
```
public interface ModularRingFactory<C extends RingElem<C> & Modular>
extends RingFactory<C>, java.lang.Iterable<C>
```
Modular ring factory interface. Defines Chinese remainder method and get modul method.

Author:

Heinz Kredel

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	Description
`C`	`chineseRemainder(C c, C ci, C a)`	Chinese remainder algorithm.
`BigInteger`	`getIntegerModul()`	Return the BigInteger modul for the factory.

Methods inherited from interface edu.jas.structure.AbelianGroupFactory
getZERO

Methods inherited from interface edu.jas.structure.ElemFactory
copy, fromInteger, fromInteger, generators, isFinite, parse, parse, random, random, toScript, valueOf

Methods inherited from interface java.lang.Iterable
forEach, iterator, spliterator

Methods inherited from interface edu.jas.structure.MonoidFactory
getONE, isAssociative, isCommutative

Methods inherited from interface edu.jas.structure.RingFactory
characteristic, isField

- Method Detail
  - getIntegerModul
```
BigInteger getIntegerModul()
```
    Return the BigInteger modul for the factory.
    
    Returns:
    
    a BigInteger of this.modul.
  - chineseRemainder
```
C chineseRemainder(C c,
                   C ci,
                   C a)
```
    Chinese remainder algorithm. Assert c.modul ≥ a.modul and c.modul * a.modul = this.modul.
    
    Parameters:
    
    c - modular.
    
    ci - inverse of c.modul in ring of a.
    
    a - other ModLong.
    
    Returns:
    
    S, with S mod c.modul == c and S mod a.modul == a.