edu.jas.arith

Interface ModularRingFactory<C extends RingElem<C> & Modular>

All Superinterfaces:

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

All Known Implementing Classes:

ModIntegerRing, ModLongRing

public interface ModularRingFactory<C extends RingElem<C> & Modular>
extends RingFactory<C>

Modular ring factory interface. Defines chinese remainder method and get modul method.

Method Summary

Modifier and Type	Method and 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.RingFactory

characteristic, isField

Methods inherited from interface edu.jas.structure.AbelianGroupFactory

getZERO

Methods inherited from interface edu.jas.structure.MonoidFactory

getONE, isAssociative, isCommutative

Methods inherited from interface edu.jas.structure.ElemFactory

copy, fromInteger, fromInteger, generators, isFinite, parse, parse, random, random, toScript

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.