MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.add(long oth) |
Adds oth to this polynomial and returns it
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.asMultivariate(UnivariatePolynomialZp64 poly,
int nVariables,
int variable,
Comparator<DegreeVector> ordering) |
Converts univariate polynomial to multivariate.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.asNormalMultivariate(MultivariatePolynomial<MultivariatePolynomialZp64> poly) |
Converts multivariate polynomial over multivariate polynomial ring to a multivariate polynomial over coefficient
ring
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.asNormalMultivariate(MultivariatePolynomial<MultivariatePolynomialZp64> poly,
int[] coefficientVariables,
int[] mainVariables) |
Converts multivariate polynomial over multivariate polynomial ring to a multivariate polynomial over coefficient
ring
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.asNormalMultivariate(MultivariatePolynomial<UnivariatePolynomialZp64> poly,
int variable) |
Converts multivariate polynomial over univariate polynomial ring (Zp[variable][other_variables]) to a
multivariate polynomial over coefficient ring (Zp[all_variables])
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static MultivariatePolynomialZp64 |
MultivariatePolynomial.asOverZp64(MultivariatePolynomial<BigInteger> poly) |
Converts multivariate polynomial over BigIntegers to multivariate polynomial over machine modular integers
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static MultivariatePolynomialZp64 |
MultivariatePolynomial.asOverZp64(MultivariatePolynomial<BigInteger> poly,
IntegersZp64 ring) |
Converts multivariate polynomial over BigIntegers to multivariate polynomial over machine modular integers
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static MultivariatePolynomialZp64 |
MultivariateGCD.BrownGCD(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b) |
Calculates GCD of two multivariate polynomials over Zp using Brown's algorithm with dense interpolation.
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static MultivariatePolynomialZp64 |
MultivariateResultants.BrownResultant(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b,
int variable) |
Brown's algorithm for resultant with dense interpolation
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.ccAsPoly() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.clone() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.contentAsPoly() |
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.create(int nVariables,
IntegersZp64 ring,
Comparator<DegreeVector> ordering,
MonomialSet<MonomialZp64> terms) |
Creates multivariate polynomial from a set of monomials
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.create(int nVariables,
IntegersZp64 ring,
Comparator<DegreeVector> ordering,
MonomialZp64... terms) |
Creates multivariate polynomial from a list of monomial terms
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.create(int nVariables,
IntegersZp64 ring,
Comparator<DegreeVector> ordering,
Iterable<MonomialZp64> terms) |
Creates multivariate polynomial from a list of monomial terms
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MultivariatePolynomialZp64[] |
MultivariatePolynomialZp64.createArray(int length) |
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MultivariatePolynomialZp64[][] |
MultivariatePolynomialZp64.createArray2d(int length) |
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MultivariatePolynomialZp64[][] |
MultivariatePolynomialZp64.createArray2d(int length1,
int length2) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.createConstant(long val) |
Creates constant polynomial with specified value
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.createConstantFromTerm(MonomialZp64 monomial) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.createLinear(int variable,
long cc,
long lc) |
Creates linear polynomial of the form cc + lc * variable
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.createOne() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.createZero() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.decrement() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.derivative(int variable,
int order) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.divide(long factor) |
Divides this polynomial by a factor
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.divideByLC(MultivariatePolynomialZp64 other) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.divideOrNull(MonomialZp64 monomial) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.eliminate(int[] variables,
long[] values) |
Returns a copy of this with values substituted for variables
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.eliminate(int variable,
long value) |
Substitutes value for variable and eliminates variable from the list of variables so that
the resulting polynomial has result.nVariables = this.nVariables - 1 .
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.evaluate(int[] variables,
long[] values) |
Returns a copy of this with values substituted for variables
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.evaluate(int variable,
long value) |
Returns a copy of this with value substituted for variable
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MultivariatePolynomialZp64[] |
MultivariatePolynomialZp64.evaluate(int variable,
long... values) |
Evaluates this polynomial at specified points
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.HornerFormZp64.evaluate(long[] values) |
Substitute given values for evaluation variables (for example, if this is in R[x1,x2,x3,x4] and evaluation
variables are x2 and x4, the result will be a poly in R[x1,x3]).
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.evaluateAtRandom(int variable,
org.apache.commons.math3.random.RandomGenerator rnd) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.evaluateAtRandomPreservingSkeleton(int variable,
org.apache.commons.math3.random.RandomGenerator rnd) |
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static MultivariatePolynomialZp64 |
MultivariateGCD.EZGCD(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b) |
Calculates GCD of two multivariate polynomials over Zp using EZ algorithm
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.fromDenseRecursiveForm(IUnivariatePolynomial recForm,
int nVariables,
Comparator<DegreeVector> ordering) |
Converts poly from a recursive univariate representation.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.fromDenseRecursiveForm(IUnivariatePolynomial recForm,
Comparator<DegreeVector> ordering) |
Converts poly from a recursive univariate representation.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.fromSparseRecursiveForm(AMultivariatePolynomial recForm,
int nVariables,
Comparator<DegreeVector> ordering) |
Converts poly from a recursive univariate representation.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.fromSparseRecursiveForm(AMultivariatePolynomial recForm,
Comparator<DegreeVector> ordering) |
Converts poly from a sparse recursive univariate representation.
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MultivariatePolynomialZp64 |
MultivariateInterpolation.InterpolationZp64.getInterpolatingPolynomial() |
Returns resulting interpolating polynomial
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.increment() |
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static MultivariatePolynomialZp64 |
MultivariateGCD.KaltofenMonaganEEZModularGCDInGF(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b) |
Modular GCD algorithm for polynomials over finite fields of small cardinality.
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static MultivariatePolynomialZp64 |
MultivariateGCD.KaltofenMonaganModularGCDInGF(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b,
cc.redberry.rings.poly.multivar.MultivariateGCD.KaltofenMonaganAlgorithm algorithm) |
Modular GCD algorithm for polynomials over finite fields of small cardinality.
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static MultivariatePolynomialZp64 |
MultivariateGCD.KaltofenMonaganSparseModularGCDInGF(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b) |
Modular GCD algorithm for polynomials over finite fields of small cardinality.
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.lcAsPoly() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.lcAsPoly(Comparator<DegreeVector> ordering) |
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MultivariatePolynomialZp64 |
MultivariatePolynomial.mapCoefficients(IntegersZp64 newDomain,
ToLongFunction<E> mapper) |
Maps coefficients of this using specified mapping function
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.mapTerms(IntegersZp64 newRing,
Function<MonomialZp64,MonomialZp64> mapper) |
Maps terms of this using specified mapping function
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.monic() |
Makes this polynomial monic
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.monic(long factor) |
Sets this to its monic part (with respect to given ordering) multiplied by the given factor;
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.monic(Comparator<DegreeVector> ordering) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.monic(Comparator<DegreeVector> ordering,
long factor) |
Sets this to its monic part (with respect to given ordering) multiplied by the given factor;
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.monicWithLC(MultivariatePolynomialZp64 other) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.monicWithLC(Comparator<DegreeVector> ordering,
MultivariatePolynomialZp64 other) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.multiply(long factor) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.multiply(MonomialZp64 monomial) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.multiply(MultivariatePolynomialZp64 oth) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.multiplyByBigInteger(BigInteger factor) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.multiplyByLC(MultivariatePolynomialZp64 other) |
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.one(int nVariables,
IntegersZp64 ring,
Comparator<DegreeVector> ordering) |
Creates unit polynomial.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.parse(String string,
IntegersZp64 ring) |
Deprecated.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.parse(String string,
IntegersZp64 ring,
String... variables) |
Parse multivariate polynomial from string.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.parse(String string,
IntegersZp64 ring,
Comparator<DegreeVector> ordering) |
Deprecated.
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.parse(String string,
IntegersZp64 ring,
Comparator<DegreeVector> ordering,
String... variables) |
Parse multivariate polynomial from string.
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.parsePoly(String string) |
Deprecated.
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.primitivePart() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.primitivePart(int variable) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.primitivePartSameSign() |
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static MultivariatePolynomialZp64 |
RandomMultivariatePolynomials.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
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static MultivariatePolynomialZp64 |
RandomMultivariatePolynomials.randomPolynomial(int nVars,
int degree,
int size,
IntegersZp64 ring,
org.apache.commons.math3.random.RandomGenerator rnd) |
Generates random Zp[X] polynomial over machine integers
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static MultivariatePolynomialZp64 |
RandomMultivariatePolynomials.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
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.seriesCoefficient(int variable,
int order) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.setCoefficientRingFrom(MultivariatePolynomialZp64 lMonomialTerms) |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.setLC(long val) |
Sets the leading coefficient to the specified value
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.setRing(long newModulus) |
Switches to another ring specified by newModulus
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.setRing(IntegersZp64 newDomain) |
Switches to another ring specified by newDomain
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.setRingUnsafe(IntegersZp64 newDomain) |
internal API
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.shift(int[] variables,
long[] shifts) |
Substitutes variable -> variable + shift for each variable from variables array
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.shift(int variable,
long shift) |
Returns a copy of this with variable -> variable + shift
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.square() |
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.substitute(int variable,
MultivariatePolynomialZp64 poly) |
Returns a copy of this with poly substituted for variable
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MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.subtract(long oth) |
Subtracts oth from this polynomial and returns it
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static MultivariatePolynomialZp64 |
MultivariatePolynomialZp64.zero(int nVariables,
IntegersZp64 ring,
Comparator<DegreeVector> ordering) |
Creates zero polynomial.
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static MultivariatePolynomialZp64 |
MultivariateGCD.ZippelGCD(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b) |
Calculates GCD of two multivariate polynomials over Zp using Zippel's algorithm with sparse interpolation.
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static MultivariatePolynomialZp64 |
MultivariateResultants.ZippelResultant(MultivariatePolynomialZp64 a,
MultivariatePolynomialZp64 b,
int variable) |
Zippel's algorithm for resultant with sparse interpolation
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