Package cc.redberry.rings.poly.multivar

Class RandomMultivariatePolynomials

java.lang.Object
cc.redberry.rings.poly.multivar.RandomMultivariatePolynomials
public final class RandomMultivariatePolynomials
extends Object
Methods to generate random multivariate polynomials.
Since:
1.0

  • Method Details

    • randomPolynomial

      public static MultivariatePolynomial<BigInteger> randomPolynomial​(int nVars, int degree, int size, BigInteger bound, Comparator<DegreeVector> ordering, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random Z[X] polynomial with coefficients bounded by bound
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      bound - coefficient bound
      ordering - monomial order
      rnd - random source
      Returns:
      random Z[X] polynomial

    • randomPolynomial

      public static MultivariatePolynomial<BigInteger> randomPolynomial​(int nVars, int degree, int size, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random Z[X] polynomial
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      rnd - random source
      Returns:
      random polynomial

    • randomPolynomial

      public static <E> MultivariatePolynomial<E> randomPolynomial​(int nVars, int degree, int size, Ring<E> ring, Comparator<DegreeVector> ordering, Function<org.apache.commons.math3.random.RandomGenerator,​E> method, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random polynomial
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      ring - the coefficient ring
      ordering - monomial order
      method - method for generating random coefficients
      rnd - random source
      Returns:
      random polynomial

    • randomPolynomial

      public static <E> MultivariatePolynomial<E> randomPolynomial​(int nVars, int minDegree, int maxDegree, int size, Ring<E> ring, Comparator<DegreeVector> ordering, Function<org.apache.commons.math3.random.RandomGenerator,​E> method, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random polynomial
      Parameters:
      nVars - number of variables
      minDegree - minimal exponent
      maxDegree - maximalexponent
      size - number of elements in the result
      ring - the coefficient ring
      ordering - monomial order
      method - method for generating random coefficients
      rnd - random source
      Returns:
      random polynomial

    • randomPolynomial

      public static <E> MultivariatePolynomial<E> randomPolynomial​(int nVars, int degree, int size, Ring<E> ring, Comparator<DegreeVector> ordering, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random polynomial
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      ring - the coefficient ring
      ordering - monomial order
      rnd - random source
      Returns:
      random polynomial

    • randomPolynomial

      public static MultivariatePolynomialZp64 randomPolynomial​(int nVars, int degree, int size, IntegersZp64 ring, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random Zp[X] polynomial over machine integers
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      ring - the coefficient ring
      rnd - random source
      Returns:
      random polynomial

    • randomPolynomial

      public static MultivariatePolynomialZp64 randomPolynomial​(int nVars, int degree, int size, IntegersZp64 ring, Comparator<DegreeVector> ordering, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random Zp[X] polynomial over machine integers
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      ring - the coefficient ring
      ordering - monomial order
      rnd - random source
      Returns:
      random polynomial

    • randomSharpPolynomial

      public static MultivariatePolynomialZp64 randomSharpPolynomial​(int nVars, int degree, int size, IntegersZp64 ring, Comparator<DegreeVector> ordering, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random Zp[X] polynomial over machine integers
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      ring - the coefficient ring
      ordering - monomial order
      rnd - random source
      Returns:
      random polynomial

    • randomSharpPolynomial

      public static <E> MultivariatePolynomial<E> randomSharpPolynomial​(int nVars, int degree, int size, Ring<E> ring, Comparator<DegreeVector> ordering, Function<org.apache.commons.math3.random.RandomGenerator,​E> rndCoefficients, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random Zp[X] polynomial over machine integers
      Parameters:
      nVars - number of variables
      degree - maximal degree of the result
      size - number of elements in the result
      ring - the coefficient ring
      ordering - monomial order
      rnd - random source
      Returns:
      random polynomial

    • randomPolynomial

      public static <Term extends AMonomial<Term>,​ Poly extends AMultivariatePolynomial<Term,​ Poly>> Poly randomPolynomial​(Poly factory, int degree, int size, org.apache.commons.math3.random.RandomGenerator rnd)
      Generates random multivariate polynomial
      Parameters:
      factory - factory polynomial
      degree - maximal degree of the result
      size - number of elements in the result
      rnd - random source
      Returns:
      random polynomial