ARing (rings 2.5.7 API)

java.lang.Object
- cc.redberry.rings.ARing<E>

All Implemented Interfaces:

IParser<E>, Stringifiable<E>, Ring<E>, Serializable, Iterable<E>, Comparator<E>

Direct Known Subclasses:

Integers, IntegersZp, MultivariateRing, QuotientRing, SimpleFieldExtension, UnivariateRing
```
public abstract class ARing<E>
extends Object
implements Ring<E>
```
Abstract ring which holds perfect power decomposition of its cardinality.

Since:

1.0

See Also:

Serialized Form

Constructor Summary

Constructors
Constructor Description

ARing()

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`boolean`	`isPerfectPower()`	Returns whether the cardinality is a perfect power (p^k with k > 1)
`BigInteger`	`perfectPowerBase()`	Returns `base` so that `cardinality == base^exponent` or null if cardinality is not finite
`BigInteger`	`perfectPowerExponent()`	Returns `exponent` so that `cardinality == base^exponent` or null if cardinality is not finite

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface java.util.Comparator
compare, equals, reversed, thenComparing, thenComparing, thenComparing, thenComparingDouble, thenComparingInt, thenComparingLong

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

Methods inherited from interface cc.redberry.rings.Ring
abs, add, add, addMutable, cardinality, characteristic, copy, createArray, createArray, createArray, createArray, createArray2d, createArray2d, createZeroesArray, createZeroesArray2d, decrement, divideAndRemainder, divideExact, divideExactMutable, divideOrNull, extendedGCD, factor, factorial, factorSquareFree, fillZeros, firstBezoutCoefficient, gcd, gcd, gcd, getNegativeOne, getOne, getZero, increment, isEuclideanRing, isField, isFinite, isFiniteField, isMinusOne, isOne, isUnit, isUnitOrZero, isZero, iterator, lcm, lcm, lcm, max, min, multiply, multiply, multiply, multiply, multiplyMutable, negate, negateMutable, parse, pow, pow, pow, quotient, randomElement, randomElement, randomElementTree, randomElementTree, randomNonZeroElement, reciprocal, remainder, setToValueOf, signum, subtract, subtractMutable, valueOf, valueOf, valueOf, valueOfBigInteger

Methods inherited from interface cc.redberry.rings.io.Stringifiable
toString

- Constructor Detail
  - ARing
```
public ARing()
```
- Method Detail
  - isPerfectPower
```
public boolean isPerfectPower()
```
    Description copied from interface: Ring
    
    Returns whether the cardinality is a perfect power (p^k with k > 1)
    
    Specified by:
    
    isPerfectPower in interface Ring<E>
    
    Returns:
    
    whether the cardinality is a perfect power (p^k with k > 1)
  - perfectPowerBase
```
public BigInteger perfectPowerBase()
```
    Description copied from interface: Ring
    
    Returns base so that cardinality == base^exponent or null if cardinality is not finite
    
    Specified by:
    
    perfectPowerBase in interface Ring<E>
    
    Returns:
    
    base so that cardinality == base^exponent or null if cardinality is not finite
  - perfectPowerExponent
```
public BigInteger perfectPowerExponent()
```
    Description copied from interface: Ring
    
    Returns exponent so that cardinality == base^exponent or null if cardinality is not finite
    
    Specified by:
    
    perfectPowerExponent in interface Ring<E>
    
    Returns:
    
    exponent so that cardinality == base^exponent or null if cardinality is not finite