IPolynomialRing (rings 2.5.7 API)

All Superinterfaces:

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

All Known Implementing Classes:

AlgebraicNumberField, FiniteField, MultipleFieldExtension, MultivariateRing, QuotientRing, SimpleFieldExtension, UnivariateRing
```
public interface IPolynomialRing<Poly extends IPolynomial<Poly>>
extends Ring<Poly>
```
Polynomial ring.

Since:

1.0

Method Summary

All Methods Instance Methods Abstract Methods Default Methods
Modifier and Type	Method	Description
`Poly`	`factory()`	Factory polynomial
`default Coder<Poly,?,?>`	`mkCoder(String... variables)`	Simple coder for this ring
`int`	`nVariables()`	Number of polynomial variables
`default Poly`	`parse(String string, String... variables)`	Parse poly from string using specified variables representation
`default int`	`signum(Poly element)`	Returns -1 if `element < 0`, 0 if `element == 0` and 1 if `element > 0`, where comparison is specified by `Comparator.compare(Object, Object)`
`Poly`	`variable(int variable)`	Creates poly representing a single specified variable

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, isPerfectPower, isUnit, isUnitOrZero, isZero, iterator, lcm, lcm, lcm, max, min, multiply, multiply, multiply, multiply, multiplyMutable, negate, negateMutable, parse, perfectPowerBase, perfectPowerExponent, pow, pow, pow, quotient, randomElement, randomElement, randomElementTree, randomElementTree, randomNonZeroElement, reciprocal, remainder, setToValueOf, subtract, subtractMutable, valueOf, valueOf, valueOf, valueOfBigInteger

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

- Method Detail
  - nVariables
```
int nVariables()
```
    Number of polynomial variables
  - factory
```
Poly factory()
```
    Factory polynomial
  - variable
```
Poly variable(int variable)
```
    Creates poly representing a single specified variable
  - signum
```
default int signum(Poly element)
```
    Description copied from interface: Ring
    
    Returns -1 if element < 0, 0 if element == 0 and 1 if element > 0, where comparison is specified by Comparator.compare(Object, Object)
    
    Specified by:
    
    signum in interface Ring<Poly extends IPolynomial<Poly>>
    
    Parameters:
    
    element - the element
    
    Returns:
    
    -1 if element < 0, 0 if element == 0 and 1 otherwise
  - parse
```
default Poly parse(String string,
                   String... variables)
```
    Parse poly from string using specified variables representation
  - mkCoder
```
default Coder<Poly,?,?> mkCoder(String... variables)
```
    Simple coder for this ring