Uses of Class
dk.jonaslindstrom.ruffini.polynomials.elements.Polynomial

Packages that use Polynomial

Package	Description
dk.jonaslindstrom.ruffini.elliptic.structures.bls12381
dk.jonaslindstrom.ruffini.elliptic.structures.bn254
dk.jonaslindstrom.ruffini.finitefields
dk.jonaslindstrom.ruffini.finitefields.algorithms
dk.jonaslindstrom.ruffini.integers
dk.jonaslindstrom.ruffini.polynomials.algorithms
dk.jonaslindstrom.ruffini.polynomials.elements
dk.jonaslindstrom.ruffini.polynomials.structures

Uses of Polynomial in dk.jonaslindstrom.ruffini.elliptic.structures.bls12381

Fields in dk.jonaslindstrom.ruffini.elliptic.structures.bls12381 with type parameters of type Polynomial

Modifier and Type	Field	Description
static AlgebraicFieldExtension<Polynomial<Polynomial<BigInteger>>,AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>>	BLS12381.FP12	FP12 = FP6(w) / (w2 - v)) is a quadratic field extension of FP6.
static AlgebraicFieldExtension<Polynomial<Polynomial<BigInteger>>,AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>>	BLS12381.FP12	FP12 = FP6(w) / (w2 - v)) is a quadratic field extension of FP6.
static AlgebraicFieldExtension<Polynomial<Polynomial<BigInteger>>,AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>>	BLS12381.FP12	FP12 = FP6(w) / (w2 - v)) is a quadratic field extension of FP6.
static AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>	BLS12381.FP6	FP6 = FP2(v) / (v3 - (u + 1)) is a cubic field extension of FP2.
static ShortWeierstrassCurveAffine<Polynomial<BigInteger>,?>	BLS12381.G2	Curve over FP2 containing the G2 subgroup.
static AffinePoint<Polynomial<BigInteger>>	BLS12381.G2_GENERATOR
static Group<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.GT
static Group<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.GT
static Group<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.GT
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.

Methods in dk.jonaslindstrom.ruffini.elliptic.structures.bls12381 that return types with arguments of type Polynomial

Modifier and Type	Method	Description
static AffinePoint<Polynomial<BigInteger>>	Serialization.deserializeG2(byte[] bytes)
static SamePair<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.twist(AffinePoint<BigInteger> p)
static SamePair<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.twist(AffinePoint<BigInteger> p)
static SamePair<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BLS12381.twist(AffinePoint<BigInteger> p)

Method parameters in dk.jonaslindstrom.ruffini.elliptic.structures.bls12381 with type arguments of type Polynomial

Modifier and Type	Method	Description
static byte[]	Serialization.serializeG2(AffinePoint<Polynomial<BigInteger>> point, boolean compressed)

Uses of Polynomial in dk.jonaslindstrom.ruffini.elliptic.structures.bn254

Fields in dk.jonaslindstrom.ruffini.elliptic.structures.bn254 with type parameters of type Polynomial

Modifier and Type	Field	Description
static AlgebraicFieldExtension<Polynomial<Polynomial<BigInteger>>,AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>>	BN254.FP12	FP12 = FP6(w) / (w2 - v)) is a quadratic field extension of FP6.
static AlgebraicFieldExtension<Polynomial<Polynomial<BigInteger>>,AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>>	BN254.FP12	FP12 = FP6(w) / (w2 - v)) is a quadratic field extension of FP6.
static AlgebraicFieldExtension<Polynomial<Polynomial<BigInteger>>,AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>>	BN254.FP12	FP12 = FP6(w) / (w2 - v)) is a quadratic field extension of FP6.
static AlgebraicFieldExtension<Polynomial<BigInteger>,AlgebraicFieldExtension<BigInteger,BigPrimeField>>	BN254.FP6	FP6 = FP2(v) / (v3 - (u + 9)) is a cubic field extension of FP2.
static ShortWeierstrassCurveAffine<Polynomial<BigInteger>,?>	BN254.G2	Curve over FP2 containing the G2 subgroup.
static AffinePoint<Polynomial<BigInteger>>	BN254.G2_GENERATOR
static Group<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.GT
static Group<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.GT
static Group<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.GT
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.
static java.util.function.BiFunction<AffinePoint<BigInteger>,AffinePoint<Polynomial<BigInteger>>,Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.PAIRING	The optimal Ate pairing which is a bilinear function e: G1 x G2 → GT.

Methods in dk.jonaslindstrom.ruffini.elliptic.structures.bn254 that return types with arguments of type Polynomial

Modifier and Type	Method	Description
static SamePair<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.twist(AffinePoint<BigInteger> p)
static SamePair<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.twist(AffinePoint<BigInteger> p)
static SamePair<Polynomial<Polynomial<Polynomial<BigInteger>>>>	BN254.twist(AffinePoint<BigInteger> p)

Uses of Polynomial in dk.jonaslindstrom.ruffini.finitefields

Methods in dk.jonaslindstrom.ruffini.finitefields that return Polynomial

Modifier and Type	Method	Description
Polynomial<Integer>	FiniteField.createElement(Integer... c)
Polynomial<Integer>	FiniteField.element(Integer... coefficients)
Polynomial<E>	AlgebraicFieldExtension.embed(E value)
Polynomial<E>	AlgebraicFieldExtension.invert(Polynomial<E> a)
Polynomial<BigInteger>	BigFiniteField.invert(Polynomial<BigInteger> a)
Polynomial<Integer>	FiniteField.invert(Polynomial<Integer> a)

Methods in dk.jonaslindstrom.ruffini.finitefields with parameters of type Polynomial

Modifier and Type	Method	Description
Polynomial<E>	AlgebraicFieldExtension.invert(Polynomial<E> a)
Polynomial<BigInteger>	BigFiniteField.invert(Polynomial<BigInteger> a)
Polynomial<Integer>	FiniteField.invert(Polynomial<Integer> a)
String	AlgebraicFieldExtension.toString(Polynomial<E> p)

Constructors in dk.jonaslindstrom.ruffini.finitefields with parameters of type Polynomial

Modifier	Constructor	Description
	AlgebraicFieldExtension(F field, String element, Polynomial<E> minimalPolynomial)
	BigFiniteField(BigPrimeField baseField, Polynomial<BigInteger> mod)	Create a finite field as a field of prime order module an irreducible polynomial.
	FiniteField(PrimeField baseField, Polynomial<Integer> mod)	Create a finite field as a field of prime order module an irreducible polynomial.

Uses of Polynomial in dk.jonaslindstrom.ruffini.finitefields.algorithms

Methods in dk.jonaslindstrom.ruffini.finitefields.algorithms that return Polynomial

Modifier and Type	Method	Description
Polynomial<Integer>	TonelliShanks.apply(Polynomial<Integer> a)

Methods in dk.jonaslindstrom.ruffini.finitefields.algorithms with parameters of type Polynomial

Modifier and Type	Method	Description
Integer	BerlekampRabinAlgorithm.apply(Polynomial<Integer> f)
Polynomial<Integer>	TonelliShanks.apply(Polynomial<Integer> a)

Uses of Polynomial in dk.jonaslindstrom.ruffini.integers

Methods in dk.jonaslindstrom.ruffini.integers that return Polynomial

Modifier and Type	Method	Description
static Polynomial<Integer>	IntegerPolynomial.of(Integer... coefficients)
static Polynomial<Integer>	IntegerPolynomial.parse(String polynomial)
static Polynomial<Integer>	IntegerPolynomial.parse(String polynomial, String variable)

Uses of Polynomial in dk.jonaslindstrom.ruffini.polynomials.algorithms

Methods in dk.jonaslindstrom.ruffini.polynomials.algorithms that return Polynomial

Modifier and Type	Method	Description
Polynomial<E>	CharacteristicPolynomial.apply(Matrix<E> a)
Polynomial<E>	Inversion.apply(Polynomial<E> f, Integer l)
Polynomial<E>	KaratsubaAlgorithm.apply(Polynomial<E> a, Polynomial<E> b)
Polynomial<E>	LagrangePolynomial.apply(List<E> x, List<E> y)
Polynomial<E>	PolynomialInterpolation.apply(List<E> y)

Methods in dk.jonaslindstrom.ruffini.polynomials.algorithms that return types with arguments of type Polynomial

Modifier and Type	Method	Description
Pair<Polynomial<E>,Polynomial<E>>	FastDivision.apply(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	FastDivision.apply(Polynomial<E> a, Polynomial<E> b)

Methods in dk.jonaslindstrom.ruffini.polynomials.algorithms with parameters of type Polynomial

Modifier and Type	Method	Description
List<E>	BatchPolynomialEvaluation.apply(Polynomial<E> polynomial)
Pair<Polynomial<E>,Polynomial<E>>	FastDivision.apply(Polynomial<E> a, Polynomial<E> b)
Polynomial<E>	Inversion.apply(Polynomial<E> f, Integer l)
Polynomial<E>	KaratsubaAlgorithm.apply(Polynomial<E> a, Polynomial<E> b)
List<E>	BinaryTree.SubproductTree.evaluate(Polynomial<E> polynomial)	Evaluate from the root.

Uses of Polynomial in dk.jonaslindstrom.ruffini.polynomials.elements

Methods in dk.jonaslindstrom.ruffini.polynomials.elements that return Polynomial

Modifier and Type	Method	Description
Polynomial<S>	Polynomial.Builder.build()
static <T> Polynomial<T>	Polynomial.constant(T constant)
Polynomial<E>	Polynomial.differentiate(Ring<E> ring)
<X> Polynomial<X>	Polynomial.mapCoefficients(java.util.function.Function<E,X> converter)
static <T> Polynomial<T>	Polynomial.monomial(T coefficient, int degree)
static <T> Polynomial<T>	Polynomial.of(T... coefficients)	Construct a new polynomial with the given coefficients.
Polynomial<E>	Polynomial.removeTerms(java.util.function.Predicate<E> predicate)
Polynomial<E>	Polynomial.reverse()
Polynomial<E>	Polynomial.scale(E scale, Ring<E> ring)

Constructors in dk.jonaslindstrom.ruffini.polynomials.elements with parameters of type Polynomial

Modifier	Constructor	Description
	Polynomial(Polynomial<E> p)

Uses of Polynomial in dk.jonaslindstrom.ruffini.polynomials.structures

Methods in dk.jonaslindstrom.ruffini.polynomials.structures that return Polynomial

Modifier and Type	Method	Description
Polynomial<E>	PolynomialRingOverRing.add(Polynomial<E> a, Polynomial<E> b)
final Polynomial<E>	PolynomialRingOverRing.element(E... coefficients)
Polynomial<E>	PolynomialRingOverRing.identity()
Polynomial<E>	PolynomialRingKaratsuba.multiply(Polynomial<E> a, Polynomial<E> b)
Polynomial<E>	PolynomialRingOverRing.multiply(Polynomial<E> a, Polynomial<E> b)
Polynomial<E>	PolynomialRingOverRing.multiply(E a, Polynomial<E> b)
Polynomial<E>	PolynomialRingOverRing.negate(Polynomial<E> a)
Polynomial<E>	PolynomialRingFFT.toPolynomial(PolynomialRingFFT<E>.TransformedPolynomial a)
Polynomial<E>	PolynomialRingFFT.TransformedPolynomial.toPolynomial()
Polynomial<E>	PolynomialRingOverRing.zero()

Methods in dk.jonaslindstrom.ruffini.polynomials.structures that return types with arguments of type Polynomial

Modifier and Type	Method	Description
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRing.divide(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRing.divide(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingKaratsuba.divide(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingKaratsuba.divide(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingOverRing.divisionWithRemainder(Polynomial<E> a, Polynomial<E> b)	Perform polynomial division, eg.
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingOverRing.divisionWithRemainder(Polynomial<E> a, Polynomial<E> b)	Perform polynomial division, eg.
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingOverRing.divisionWithRemainder(Polynomial<E> a, Polynomial<E> b, E bLeadInverse)	Perform polynomial division, eg.
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingOverRing.divisionWithRemainder(Polynomial<E> a, Polynomial<E> b, E bLeadInverse)	Perform polynomial division, eg.

Methods in dk.jonaslindstrom.ruffini.polynomials.structures with parameters of type Polynomial

Modifier and Type	Method	Description
Polynomial<E>	PolynomialRingOverRing.add(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRing.divide(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingKaratsuba.divide(Polynomial<E> a, Polynomial<E> b)
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingOverRing.divisionWithRemainder(Polynomial<E> a, Polynomial<E> b)	Perform polynomial division, eg.
Pair<Polynomial<E>,Polynomial<E>>	PolynomialRingOverRing.divisionWithRemainder(Polynomial<E> a, Polynomial<E> b, E bLeadInverse)	Perform polynomial division, eg.
boolean	PolynomialRingOverRing.equals(Polynomial<E> a, Polynomial<E> b)
PolynomialRingFFT<E>.TransformedPolynomial	PolynomialRingFFT.fromPolynomial(Polynomial<E> a)
Polynomial<E>	PolynomialRingKaratsuba.multiply(Polynomial<E> a, Polynomial<E> b)
Polynomial<E>	PolynomialRingOverRing.multiply(Polynomial<E> a, Polynomial<E> b)
Polynomial<E>	PolynomialRingOverRing.multiply(E a, Polynomial<E> b)
Polynomial<E>	PolynomialRingOverRing.negate(Polynomial<E> a)
BigInteger	PolynomialRing.norm(Polynomial<E> a)
String	PolynomialRingOverRing.toString(Polynomial<E> a)

Constructors in dk.jonaslindstrom.ruffini.polynomials.structures with parameters of type Polynomial

Modifier	Constructor	Description
	TransformedPolynomial(Polynomial<E> from)