Serialized Form (rings 2.5.2 API)

Package cc.redberry.rings
- Class cc.redberry.rings.ARing extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - perfectPowerDecomposition
```
BigInteger[] perfectPowerDecomposition
```
      if modulus = a^b, a and b are stored in this array
    - initialized
```
boolean initialized
```
- Class cc.redberry.rings.ImageRing extends Object implements Serializable
  - Serialized Fields
    - ring
```
Ring<E> ring
```
      the ring
    - imageFunc
```
Function<T,R> imageFunc
```
    - inverseFunc
```
Function<T,R> inverseFunc
```
- Class cc.redberry.rings.Integers extends cc.redberry.rings.AIntegers implements Serializable
  
  serialVersionUID:
  
  1L
- Class cc.redberry.rings.IntegersZp extends cc.redberry.rings.AIntegers implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - modulus
```
BigInteger modulus
```
      The modulus.
    - ppBaseDomain
```
IntegersZp ppBaseDomain
```
      ring for perfectPowerBase()
    - lDomain
```
IntegersZp64 lDomain
```
- Class cc.redberry.rings.IntegersZp64 extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - modulus
```
long modulus
```
      the modulus
    - magic
```
cc.redberry.libdivide4j.FastDivision.Magic magic
```
      magic
    - magic32MulMod
```
cc.redberry.libdivide4j.FastDivision.Magic magic32MulMod
```
      magic
    - modulusFits32
```
boolean modulusFits32
```
      whether modulus less then 2^32 (if so, faster mulmod available)
    - perfectPowerDecomposition
```
long[] perfectPowerDecomposition
```
      if modulus = a^b, a and b are stored in this array
    - ppBaseDomain
```
IntegersZp64 ppBaseDomain
```
      ring for perfectPowerBase()
- Class cc.redberry.rings.Rational extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - ring
```
Ring<E> ring
```
      The ring.
    - numerator
```
cc.redberry.rings.Rational.Operand numerator
```
      The numerator factors.
    - denominator
```
cc.redberry.rings.Rational.Operand denominator
```
      The denominator factors.
    - simplicityCriteria
```
Predicate<T> simplicityCriteria
```
      whether the underlying ring is a polynomial ring
- Class cc.redberry.rings.Rationals extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - ring
```
Ring<E> ring
```
      Ring that numerator and denominator belongs to
Package cc.redberry.rings.bigint
- Class cc.redberry.rings.bigint.BigDecimal extends Number implements Serializable
  
  serialVersionUID:
  
  6108874887143696463L
  - Serialization Methods
    - readObject
```
private void readObject(ObjectInputStream s)
                 throws IOException,
                        ClassNotFoundException
```
      Reconstitute the BigDecimal instance from a stream (that is, deserialize it).
      
      Throws:
      
      IOException
      
      ClassNotFoundException
    - writeObject
```
private void writeObject(ObjectOutputStream s)
                  throws IOException
```
      Serialize this BigDecimal to the stream in question
      
      Throws:
      
      IOException
  - Serialized Fields
    - intVal
```
BigInteger intVal
```
      The unscaled value of this BigDecimal, as returned by BigDecimal.unscaledValue().
      
      See Also:
      
      BigDecimal.unscaledValue()
    - scale
```
int scale
```
      The scale of this BigDecimal, as returned by BigDecimal.scale.
      
      See Also:
      
      BigDecimal.scale
- Class cc.redberry.rings.bigint.BigInteger extends Number implements Serializable
  
  serialVersionUID:
  
  -8287574255936472291L
  - Serialization Methods
    - readObject
```
private void readObject(ObjectInputStream s)
                 throws IOException,
                        ClassNotFoundException
```
      Reconstitute the BigInteger instance from a stream (that is, deserialize it). The magnitude is read in as an array of bytes for historical reasons, but it is converted to an array of ints and the byte array is discarded. Note: The current convention is to initialize the cache fields, bitCount, bitLength and lowestSetBit, to 0 rather than some other marker value. Therefore, no explicit action to set these fields needs to be taken in readObject because those fields already have a 0 value be default since defaultReadObject is not being used.
      
      Throws:
      
      IOException
      
      ClassNotFoundException
    - writeObject
```
private void writeObject(ObjectOutputStream s)
                  throws IOException
```
      Save the BigInteger instance to a stream. The magnitude of a BigInteger is serialized as a byte array for historical reasons.
      
      Serial Data:
      
      two necessary fields are written as well as obsolete fields for compatibility with older versions.
      
      Throws:
      
      IOException
  - Serialization Overview
    - Serializable fields for BigInteger.
  - Serialized Fields
    - bitCount
```
int bitCount
```
      number of bits in this BigInteger
    - bitLength
```
int bitLength
```
      the number of bits in the minimal two's-complement representation of this BigInteger
    - lowestSetBit
```
int lowestSetBit
```
      lowest set bit in the twos complement representation
    - magnitude
```
int[] magnitude
```
      magnitude array of this BigInteger.
    - signum
```
int signum
```
      signum of this BigInteger.
- Class cc.redberry.rings.bigint.MathContext extends Object implements Serializable
  
  serialVersionUID:
  
  5579720004786848255L
  - Serialization Methods
    - readObject
```
private void readObject(ObjectInputStream s)
                 throws IOException,
                        ClassNotFoundException
```
      Reconstitute the MathContext instance from a stream (that is, deserialize it).
      
      Throws:
      
      IOException
      
      ClassNotFoundException
  - Serialized Fields
    - precision
```
int precision
```
      The number of digits to be used for an operation. A value of 0 indicates that unlimited precision (as many digits as are required) will be used. Note that leading zeros (in the coefficient of a number) are never significant.
      precision will always be non-negative.
    - roundingMode
```
RoundingMode roundingMode
```
      The rounding algorithm to be used for an operation.
      
      See Also:
      
      RoundingMode
Package cc.redberry.rings.io
- Class cc.redberry.rings.io.StringBindings extends HashMap<String,E> implements Serializable
Package cc.redberry.rings.poly
- Class cc.redberry.rings.poly.AlgebraicNumberField extends SimpleFieldExtension<E extends IUnivariatePolynomial<E>> implements Serializable
- Class cc.redberry.rings.poly.FiniteField extends SimpleFieldExtension<E extends IUnivariatePolynomial<E>> implements Serializable
  
  serialVersionUID:
  
  1L
- Class cc.redberry.rings.poly.MultipleFieldExtension extends ImageRing<sPoly extends IUnivariatePolynomial<sPoly>,mPoly extends AMultivariatePolynomial<Term,mPoly>> implements Serializable
  - Serialized Fields
    - mFactory
```
AMultivariatePolynomial<Term extends AMonomial<Term>,Poly extends AMultivariatePolynomial<Term,Poly>> mFactory
```
      multivariate polynomial factory
    - sFactory
```
IUnivariatePolynomial<Poly extends IUnivariatePolynomial<Poly>> sFactory
```
      univariate polynomial factory
    - tower
```
MultipleFieldExtension<Term extends AMonomial<Term>,mPoly extends AMultivariatePolynomial<Term,mPoly>,sPoly extends IUnivariatePolynomial<sPoly>>[] tower
```
      A tower of field extensions
    - minimalPolynomialsOfGenerators
```
UnivariatePolynomial<E>[] minimalPolynomialsOfGenerators
```
      A tower of generators of multiple field extension given by their minimal polynomials
    - primitiveElement
```
AMultivariatePolynomial<Term extends AMonomial<Term>,Poly extends AMultivariatePolynomial<Term,Poly>> primitiveElement
```
      Primitive element that generates equivalent simple extension
    - simpleExtension
```
SimpleFieldExtension<E extends IUnivariatePolynomial<E>> simpleExtension
```
      Simple field extension generated by primitive element
    - generatorsReps
```
IUnivariatePolynomial<Poly extends IUnivariatePolynomial<Poly>>[] generatorsReps
```
      Generators represented as elements of simple field extension
- Class cc.redberry.rings.poly.MultivariateRing extends cc.redberry.rings.poly.APolynomialRing<Poly extends AMultivariatePolynomial<?,Poly>> implements Serializable
  
  serialVersionUID:
  
  1L
- Class cc.redberry.rings.poly.PolynomialFactorDecomposition extends FactorDecomposition<Poly extends IPolynomial<Poly>> implements Serializable
  
  serialVersionUID:
  
  1L
- Class cc.redberry.rings.poly.QuotientRing extends ARing<Poly extends AMultivariatePolynomial<Term,Poly>> implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - baseRing
```
MultivariateRing<Poly extends AMultivariatePolynomial<?,Poly>> baseRing
```
      the base ring
    - ideal
```
Ideal<Term extends AMonomial<Term>,Poly extends AMultivariatePolynomial<Term,Poly>> ideal
```
      the ideal
    - factory
```
AMultivariatePolynomial<Term extends AMonomial<Term>,Poly extends AMultivariatePolynomial<Term,Poly>> factory
```
      factory element
- Class cc.redberry.rings.poly.SimpleFieldExtension extends ARing<E extends IUnivariatePolynomial<E>> implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - minimalPoly
```
IUnivariatePolynomial<Poly extends IUnivariatePolynomial<Poly>> minimalPoly
```
      Minimal polynomial
    - factory
```
IUnivariatePolynomial<Poly extends IUnivariatePolynomial<Poly>> factory
```
      Factory polynomial
    - inverseMod
```
UnivariateDivision.InverseModMonomial<Poly extends IUnivariatePolynomial<Poly>> inverseMod
```
      Precomputed inverses for fast division
    - cardinality
```
BigInteger cardinality
```
      Ring cardinality
- Class cc.redberry.rings.poly.UnivariateRing extends cc.redberry.rings.poly.APolynomialRing<Poly extends IUnivariatePolynomial<Poly>> implements Serializable
  
  serialVersionUID:
  
  1L
Package cc.redberry.rings.poly.multivar
- Class cc.redberry.rings.poly.multivar.AMonomial extends DegreeVector implements Serializable
- Class cc.redberry.rings.poly.multivar.AMultivariatePolynomial extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - nVariables
```
int nVariables
```
      The number of variables
    - ordering
```
Comparator<T> ordering
```
      The ordering
    - monomialAlgebra
```
IMonomialAlgebra<Term extends AMonomial<Term>> monomialAlgebra
```
      Monomial algebra
    - terms
```
MonomialSet<Term extends AMonomial<Term>> terms
```
      the actual data
    - self
```
AMultivariatePolynomial<Term extends AMonomial<Term>,Poly extends AMultivariatePolynomial<Term,Poly>> self
```
    - cachedDegree
```
int cachedDegree
```
      cached degree()
    - cachedDegrees
```
int[] cachedDegrees
```
      cached degrees
- Class cc.redberry.rings.poly.multivar.DegreeVector extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - exponents
```
int[] exponents
```
      exponents
    - totalDegree
```
int totalDegree
```
      Sum of all exponents (total degree)
- Class cc.redberry.rings.poly.multivar.Ideal extends Object implements Serializable
  - Serialized Fields
    - originalGenerators
```
List<E> originalGenerators
```
      list of original generators
    - ordering
```
Comparator<T> ordering
```
      monomial order used for standard basis
    - factory
```
AMultivariatePolynomial<Term extends AMonomial<Term>,Poly extends AMultivariatePolynomial<Term,Poly>> factory
```
      util factory polynomial (ordered by monomialOrder)
    - groebnerBasis
```
List<E> groebnerBasis
```
      Groebner basis with respect to monomialOrder
    - ring
```
MultivariateRing<Poly extends AMultivariatePolynomial<?,Poly>> ring
```
      the whole ring instance (ordered by monomialOrder)
    - hilbertSeries
```
GroebnerBases.HilbertSeries hilbertSeries
```
- Class cc.redberry.rings.poly.multivar.IMonomialAlgebra.MonomialAlgebra extends Object implements Serializable
  - Serialized Fields
    - ring
```
Ring<E> ring
```
- Class cc.redberry.rings.poly.multivar.IMonomialAlgebra.MonomialAlgebraZp64 extends Object implements Serializable
  - Serialized Fields
    - ring
```
IntegersZp64 ring
```
- Class cc.redberry.rings.poly.multivar.Monomial extends AMonomial<Monomial<E>> implements Serializable
  - Serialized Fields
    - coefficient
```
Object coefficient
```
      the coefficient
- Class cc.redberry.rings.poly.multivar.MonomialOrder.EliminationOrder extends Object implements Serializable
  - Serialized Fields
    - baseOrder
```
Comparator<T> baseOrder
```
    - variable
```
int variable
```
- Class cc.redberry.rings.poly.multivar.MonomialOrder.GrevLexWithPermutation extends Object implements Serializable
  - Serialized Fields
    - permutation
```
int[] permutation
```
- Class cc.redberry.rings.poly.multivar.MonomialSet extends TreeMap<DegreeVector,Term extends AMonomial<Term>> implements Serializable
  
  serialVersionUID:
  
  1L
- Class cc.redberry.rings.poly.multivar.MonomialZp64 extends AMonomial<MonomialZp64> implements Serializable
  - Serialized Fields
    - coefficient
```
long coefficient
```
      the coefficient
- Class cc.redberry.rings.poly.multivar.MultivariatePolynomial extends AMultivariatePolynomial<Monomial<E>,MultivariatePolynomial<E>> implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - ring
```
Ring<E> ring
```
      The coefficient ring
- Class cc.redberry.rings.poly.multivar.MultivariatePolynomialZp64 extends AMultivariatePolynomial<MonomialZp64,MultivariatePolynomialZp64> implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - ring
```
IntegersZp64 ring
```
      The ring.
Package cc.redberry.rings.poly.univar
- Class cc.redberry.rings.poly.univar.UnivariateDivision.InverseModMonomial extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - poly
```
IUnivariatePolynomial<Poly extends IUnivariatePolynomial<Poly>> poly
```
    - inverses
```
ArrayList<E> inverses
```
      the inverses
- Class cc.redberry.rings.poly.univar.UnivariatePolynomial extends Object implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - ring
```
Ring<E> ring
```
      The coefficient ring
    - data
```
Object[] data
```
      list of coefficients { x^0, x^1, ... , x^degree }
    - degree
```
int degree
```
      points to the last non zero element in the data array
- Class cc.redberry.rings.poly.univar.UnivariatePolynomialZ64 extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<UnivariatePolynomialZ64> implements Serializable
  
  serialVersionUID:
  
  1L
- Class cc.redberry.rings.poly.univar.UnivariatePolynomialZp64 extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<UnivariatePolynomialZp64> implements Serializable
  
  serialVersionUID:
  
  1L
  - Serialized Fields
    - ring
```
IntegersZp64 ring
```
      The coefficient ring
Package cc.redberry.rings.util
- Class cc.redberry.rings.util.RandomDataGenerator extends org.apache.commons.math3.random.RandomDataGenerator implements Serializable
  
  serialVersionUID:
  
  1L

Serialized Form

Package cc.redberry.rings

Class cc.redberry.rings.ARing extends Object implements Serializable

Serialized Fields

perfectPowerDecomposition

initialized

Class cc.redberry.rings.ImageRing extends Object implements Serializable

Serialized Fields

ring

imageFunc

inverseFunc

Class cc.redberry.rings.Integers extends cc.redberry.rings.AIntegers implements Serializable

Class cc.redberry.rings.IntegersZp extends cc.redberry.rings.AIntegers implements Serializable

Serialized Fields

modulus

ppBaseDomain

lDomain

Class cc.redberry.rings.IntegersZp64 extends Object implements Serializable

Serialized Fields

modulus

magic

magic32MulMod

modulusFits32

perfectPowerDecomposition

ppBaseDomain

Class cc.redberry.rings.Rational extends Object implements Serializable

Serialized Fields

ring

numerator

denominator

simplicityCriteria

Class cc.redberry.rings.Rationals extends Object implements Serializable

Serialized Fields

ring

Package cc.redberry.rings.bigint

Class cc.redberry.rings.bigint.BigDecimal extends Number implements Serializable

Serialization Methods

readObject

writeObject

Serialized Fields

intVal

scale

Class cc.redberry.rings.bigint.BigInteger extends Number implements Serializable

Serialization Methods

readObject

writeObject

Serialization Overview

Serialized Fields

bitCount

bitLength

lowestSetBit

magnitude

signum

Class cc.redberry.rings.bigint.MathContext extends Object implements Serializable

Serialization Methods

readObject

Serialized Fields

precision

roundingMode

Package cc.redberry.rings.io

Class cc.redberry.rings.io.StringBindings extends HashMap<String,E> implements Serializable

Package cc.redberry.rings.poly

Class cc.redberry.rings.poly.AlgebraicNumberField extends SimpleFieldExtension<E extends IUnivariatePolynomial<E>> implements Serializable

Class cc.redberry.rings.poly.FiniteField extends SimpleFieldExtension<E extends IUnivariatePolynomial<E>> implements Serializable

Class cc.redberry.rings.poly.MultipleFieldExtension extends ImageRing<sPoly extends IUnivariatePolynomial<sPoly>,mPoly extends AMultivariatePolynomial<Term,mPoly>> implements Serializable

Serialized Fields

mFactory

sFactory

tower

minimalPolynomialsOfGenerators

primitiveElement

simpleExtension

generatorsReps

Class cc.redberry.rings.poly.MultivariateRing extends cc.redberry.rings.poly.APolynomialRing<Poly extends AMultivariatePolynomial<?,Poly>> implements Serializable

Class cc.redberry.rings.poly.PolynomialFactorDecomposition extends FactorDecomposition<Poly extends IPolynomial<Poly>> implements Serializable

Class cc.redberry.rings.poly.QuotientRing extends ARing<Poly extends AMultivariatePolynomial<Term,Poly>> implements Serializable

Serialized Fields

baseRing

ideal

factory