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 Summary

Modifier and Type	Method and Description
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
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
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
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
static MultivariatePolynomial<BigInteger>	randomPolynomial(int nVars, int degree, int size, org.apache.commons.math3.random.RandomGenerator rnd) Generates random Z[X] polynomial
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
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
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
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
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

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

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