Uses of Class
cc.redberry.rings.poly.multivar.Monomial

Packages that use Monomial

Package	Description
cc.redberry.rings.io
cc.redberry.rings.poly.multivar

Uses of Monomial in cc.redberry.rings.io

Methods in cc.redberry.rings.io that return types with arguments of type Monomial

Modifier and Type	Method and Description
static <E> Coder<MultivariatePolynomial<E>,Monomial<E>,MultivariatePolynomial<E>>	Coder.mkMultivariateCoder(MultivariateRing<MultivariatePolynomial<E>> ring, Coder<E,?,?> cfCoder, Map<String,MultivariatePolynomial<E>> variables) Create coder for multivariate polynomial rings
static <E> Coder<MultivariatePolynomial<E>,Monomial<E>,MultivariatePolynomial<E>>	Coder.mkMultivariateCoder(MultivariateRing<MultivariatePolynomial<E>> ring, Coder<E,?,?> cfCoder, String... variables) Create parser for multivariate polynomial rings

Uses of Monomial in cc.redberry.rings.poly.multivar

Methods in cc.redberry.rings.poly.multivar that return Monomial

Modifier and Type	Method and Description
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.create(DegreeVector degreeVector)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.create(int[] exponents)
Monomial<E>[]	IMonomialAlgebra.MonomialAlgebra.createArray(int length)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.divideOrNull(Monomial<E> dividend, Monomial<E> divider)
Monomial<E>	Monomial.forceSetDegreeVector(int[] exponents, int totalDegree)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.getUnitTerm(int nVariables)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.getZeroTerm(int nVariables)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.multiply(Monomial<E> a, BigInteger b)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.multiply(Monomial<E> a, Monomial<E> b)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.negate(Monomial<E> term)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.pow(Monomial<E> term, int exponent)
Monomial<E>	Monomial.setCoefficient(E c)
Monomial<E>	Monomial.setCoefficientFrom(Monomial<E> oth)
Monomial<E>	Monomial.setDegreeVector(DegreeVector oth)
Monomial<E>	Monomial.setDegreeVector(int[] exponents, int totalDegree)
Monomial<BigInteger>	MonomialZp64.toBigMonomial()

Methods in cc.redberry.rings.poly.multivar that return types with arguments of type Monomial

Modifier and Type	Method and Description
static cc.redberry.rings.poly.multivar.GroebnerBases.GBResult<Monomial<BigInteger>,MultivariatePolynomial<BigInteger>>	GroebnerBases.GroebnerBasisInZ(List<MultivariatePolynomial<BigInteger>> generators, Comparator<DegreeVector> monomialOrder, GroebnerBases.HilbertSeries hilbertSeries, boolean tryModular) Computes Groebner basis (minimized and reduced) of a given ideal over Z represented by a list of generators.
static cc.redberry.rings.poly.multivar.GroebnerBases.GBResult<Monomial<BigInteger>,MultivariatePolynomial<BigInteger>>	GroebnerBases.ModularGB(List<MultivariatePolynomial<BigInteger>> ideal, Comparator<DegreeVector> monomialOrder) Modular Groebner basis algorithm.
static cc.redberry.rings.poly.multivar.GroebnerBases.GBResult<Monomial<BigInteger>,MultivariatePolynomial<BigInteger>>	GroebnerBases.ModularGB(List<MultivariatePolynomial<BigInteger>> ideal, Comparator<DegreeVector> monomialOrder, cc.redberry.rings.poly.multivar.GroebnerBases.GroebnerAlgorithm modularAlgorithm, cc.redberry.rings.poly.multivar.GroebnerBases.GroebnerAlgorithm defaultAlgorithm, BigInteger firstPrime, GroebnerBases.HilbertSeries hilbertSeries, boolean trySparse) Modular Groebner basis algorithm.
static cc.redberry.rings.poly.multivar.GroebnerBases.GBResult<Monomial<BigInteger>,MultivariatePolynomial<BigInteger>>	GroebnerBases.ModularGB(List<MultivariatePolynomial<BigInteger>> ideal, Comparator<DegreeVector> monomialOrder, GroebnerBases.HilbertSeries hilbertSeries) Modular Groebner basis algorithm.
static cc.redberry.rings.poly.multivar.GroebnerBases.GBResult<Monomial<BigInteger>,MultivariatePolynomial<BigInteger>>	GroebnerBases.ModularGB(List<MultivariatePolynomial<BigInteger>> ideal, Comparator<DegreeVector> monomialOrder, GroebnerBases.HilbertSeries hilbertSeries, boolean trySparse) Modular Groebner basis algorithm.
static <E> Ideal<Monomial<E>,MultivariatePolynomial<E>>	Ideal.parse(String[] generators, Ring<E> field, Comparator<DegreeVector> monomialOrder, String[] variables) Shortcut for parse
static <E> Ideal<Monomial<E>,MultivariatePolynomial<E>>	Ideal.parse(String[] generators, Ring<E> field, String[] variables) Shortcut for parse

Methods in cc.redberry.rings.poly.multivar with parameters of type Monomial

Modifier and Type	Method and Description
static <E> MultivariatePolynomial<E>	MultivariatePolynomial.create(int nVariables, Ring<E> ring, Comparator<DegreeVector> ordering, Monomial<E>... terms) Creates multivariate polynomial from a list of monomial terms
MultivariatePolynomial<E>	MultivariatePolynomial.createConstantFromTerm(Monomial<E> monomial)
MultivariatePolynomial<E>	MultivariatePolynomial.divideOrNull(Monomial<E> monomial)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.divideOrNull(Monomial<E> dividend, Monomial<E> divider)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.divideOrNull(Monomial<E> dividend, Monomial<E> divider)
boolean	IMonomialAlgebra.MonomialAlgebra.haveSameCoefficients(Monomial<E> a, Monomial<E> b)
boolean	IMonomialAlgebra.MonomialAlgebra.haveSameCoefficients(Monomial<E> a, Monomial<E> b)
boolean	IMonomialAlgebra.MonomialAlgebra.isOne(Monomial<E> term)
boolean	IMonomialAlgebra.MonomialAlgebra.isPureDegreeVector(Monomial<E> term)
boolean	IMonomialAlgebra.MonomialAlgebra.isUnit(Monomial<E> term)
boolean	IMonomialAlgebra.MonomialAlgebra.isZero(Monomial<E> term)
MultivariatePolynomial<E>	MultivariatePolynomial.multiply(Monomial<E> monomial)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.multiply(Monomial<E> a, BigInteger b)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.multiply(Monomial<E> a, Monomial<E> b)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.multiply(Monomial<E> a, Monomial<E> b)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.negate(Monomial<E> term)
Monomial<E>	IMonomialAlgebra.MonomialAlgebra.pow(Monomial<E> term, int exponent)
Monomial<E>	Monomial.setCoefficientFrom(Monomial<E> oth)

Method parameters in cc.redberry.rings.poly.multivar with type arguments of type Monomial

Modifier and Type	Method and Description
static <E> MultivariatePolynomial<E>	MultivariatePolynomial.create(int nVariables, Ring<E> ring, Comparator<DegreeVector> ordering, Iterable<Monomial<E>> terms) Creates multivariate polynomial from a list of monomial terms
<T> MultivariatePolynomial<T>	MultivariatePolynomial.mapTerms(Ring<T> newRing, Function<Monomial<E>,Monomial<T>> mapper) Maps terms of this using specified mapping function
<T> MultivariatePolynomial<T>	MultivariatePolynomial.mapTerms(Ring<T> newRing, Function<Monomial<E>,Monomial<T>> mapper) Maps terms of this using specified mapping function
<T> MultivariatePolynomial<T>	MultivariatePolynomialZp64.mapTerms(Ring<T> newRing, Function<MonomialZp64,Monomial<T>> mapper) Maps terms of this using specified mapping function