Uses of Interface
dk.jonaslindstrom.ruffini.common.abstractions.Field

Packages that use Field

Package	Description
demo.poseidon
dk.jonaslindstrom.arithmeticparser
dk.jonaslindstrom.ruffini.common.abstractions
dk.jonaslindstrom.ruffini.common.algorithms
dk.jonaslindstrom.ruffini.common.helpers
dk.jonaslindstrom.ruffini.common.matrices.algorithms
dk.jonaslindstrom.ruffini.common.matrices.structures
dk.jonaslindstrom.ruffini.common.structures
dk.jonaslindstrom.ruffini.common.util
dk.jonaslindstrom.ruffini.elliptic.algorithms
dk.jonaslindstrom.ruffini.elliptic.elements
dk.jonaslindstrom.ruffini.elliptic.structures
dk.jonaslindstrom.ruffini.finitefields
dk.jonaslindstrom.ruffini.integers.structures
dk.jonaslindstrom.ruffini.polynomials.algorithms
dk.jonaslindstrom.ruffini.polynomials.structures
dk.jonaslindstrom.ruffini.reals.structures

Uses of Field in demo.poseidon

Constructors in demo.poseidon with parameters of type Field

Modifier	Constructor	Description
	PoseidonHash(Matrix<E> m, List<E> c, int fullRounds, int partialRounds, Field<E> field)

Uses of Field in dk.jonaslindstrom.arithmeticparser

Methods in dk.jonaslindstrom.arithmeticparser with parameters of type Field

Modifier and Type	Method	Description
static <E> Evaluator<E>	Evaluator.getField(Field<E> field, java.util.function.Function<String,E> parser, Map<String,MultiOperator<E>> functions)

Uses of Field in dk.jonaslindstrom.ruffini.common.abstractions

Classes in dk.jonaslindstrom.ruffini.common.abstractions with type parameters of type Field

Modifier and Type	Interface	Description
interface	InnerProductSpace<V,S,F extends Field<S>>	A group is a set with an associative addition operation and an inverse operation.
interface	NormedVectorSpace<V,S,F extends Field<S>>	An inner product space is a vector space with an inner product.
interface	VectorSpace<V,S,F extends Field<S>>	A vector space is a module over a field.

Uses of Field in dk.jonaslindstrom.ruffini.common.algorithms

Classes in dk.jonaslindstrom.ruffini.common.algorithms with type parameters of type Field

Modifier and Type	Class	Description
class	Projection<V,S,F extends Field<S>>	Compute the projection of a vector v onto another vector u in the given vector space.
class	QuadraticEquation<E,F extends Field<E>>	Solve a quadratic equation of the form ax^2 + bx + c = 0 over a field of characteristic != 2.

Constructors in dk.jonaslindstrom.ruffini.common.algorithms with parameters of type Field

Modifier	Constructor	Description
	InverseDiscreteFourierTransform(Field<E> field, E nThPrincipalRootOfUnity, int n)

Uses of Field in dk.jonaslindstrom.ruffini.common.helpers

Classes in dk.jonaslindstrom.ruffini.common.helpers that implement Field

Modifier and Type	Class	Description
class	PerformanceLoggingField<E>	Wrapper for the ring class which logs the number of operations performed in this ring.

Constructors in dk.jonaslindstrom.ruffini.common.helpers with parameters of type Field

Modifier	Constructor	Description
	Calculator(Field<E> field)
	PerformanceLoggingField(Field<E> field)

Uses of Field in dk.jonaslindstrom.ruffini.common.matrices.algorithms

Classes in dk.jonaslindstrom.ruffini.common.matrices.algorithms with type parameters of type Field

Modifier and Type	Class	Description
class	GramSchmidt<V,S,F extends Field<S>>	Gram-Schmidt orthogonalization.
class	QRDecomposition<E,F extends Field<E>>	Compute the QR decomposition of a matrix.

Constructors in dk.jonaslindstrom.ruffini.common.matrices.algorithms with parameters of type Field

Modifier	Constructor	Description
	GaussianElimination(Field<E> field)
	MatrixInversion(Field<E> field)

Uses of Field in dk.jonaslindstrom.ruffini.common.matrices.structures

Classes in dk.jonaslindstrom.ruffini.common.matrices.structures with type parameters of type Field

Modifier and Type	Class	Description
class	GeneralLinearGroup<E,F extends Field<E>>	This class represents the general linear group GL(n, F) of invertible n × n matrices over a field F.

Uses of Field in dk.jonaslindstrom.ruffini.common.structures

Classes in dk.jonaslindstrom.ruffini.common.structures with type parameters of type Field

Modifier and Type	Class	Description
class	AbstractVectorSpace<V,S,F extends Field<S>>
class	VectorSpaceOverField<E,F extends Field<E>>

Classes in dk.jonaslindstrom.ruffini.common.structures that implement Field

Modifier and Type	Class	Description
class	FieldOfFractions<E>

Uses of Field in dk.jonaslindstrom.ruffini.common.util

Classes in dk.jonaslindstrom.ruffini.common.util that implement Field

Modifier and Type	Class	Description
static class	TestUtils.TestField

Uses of Field in dk.jonaslindstrom.ruffini.elliptic.algorithms

Constructors in dk.jonaslindstrom.ruffini.elliptic.algorithms with parameters of type Field

Modifier	Constructor	Description
	OptimalAtePairing(java.util.function.Function<E1,E2> g1embedding, ShortWeierstrassCurveAffine<E2,?> curve2, java.util.function.Function<E2,ET> g2embedding, Field<ET> ft, java.util.function.Function<AffinePoint<E1>,SamePair<ET>> twist, BigInteger p, BigInteger r, int k)

Uses of Field in dk.jonaslindstrom.ruffini.elliptic.elements

Methods in dk.jonaslindstrom.ruffini.elliptic.elements with parameters of type Field

Modifier and Type	Method	Description
static <F> JacobianPoint<F>	JacobianPoint.pointAtInfinity(Field<F> field)
static <F> ProjectivePoint<F>	ProjectivePoint.pointAtInfinity(Field<F> field)
AffinePoint<E>	JacobianPoint.toAffinePoint(Field<E> field)
AffinePoint<E>	ProjectivePoint.toAffinePoint(Field<E> field)
ProjectivePoint<E>	AffinePoint.toProjectivePoint(Field<E> field)

Uses of Field in dk.jonaslindstrom.ruffini.elliptic.structures

Classes in dk.jonaslindstrom.ruffini.elliptic.structures with type parameters of type Field

Modifier and Type	Class	Description
class	EdwardsCurve<E,F extends Field<E>>	Instances of this class represents a curve over a field over elements of type E satisfying the equation x2 + y2 = 1 + d x2 y2.
class	MontgomeryCurve<E,F extends Field<E>>	Curve on Montgomery form By2 = x3 + Ax2 + x.
class	ShortWeierstrassCurveAffine<E,F extends Field<E>>

Fields in dk.jonaslindstrom.ruffini.elliptic.structures declared as Field

Modifier and Type	Field	Description
protected final F	MontgomeryCurve.field

Methods in dk.jonaslindstrom.ruffini.elliptic.structures that return Field

Modifier and Type	Method	Description
Field<E>	ShortWeierstrassCurveProjective.getField()

Constructors in dk.jonaslindstrom.ruffini.elliptic.structures with parameters of type Field

Modifier	Constructor	Description
	ShortWeierstrassCurveProjective(Field<E> field, E a, E b)	Curve on Weierstrass form.

Uses of Field in dk.jonaslindstrom.ruffini.finitefields

Classes in dk.jonaslindstrom.ruffini.finitefields with type parameters of type Field

Modifier and Type	Class	Description
class	AlgebraicFieldExtension<E,F extends Field<E>>

Classes in dk.jonaslindstrom.ruffini.finitefields that implement Field

Modifier and Type	Class	Description
class	AlgebraicFieldExtension<E,F extends Field<E>>
class	BigFiniteField
class	BigPrimeField
class	FiniteField
class	GaussianRationals
class	PrimeField
class	QuadraticField

Uses of Field in dk.jonaslindstrom.ruffini.integers.structures

Classes in dk.jonaslindstrom.ruffini.integers.structures that implement Field

Modifier and Type	Class	Description
class	BigRationals
class	Rationals

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

Constructors in dk.jonaslindstrom.ruffini.polynomials.algorithms with parameters of type Field

Modifier	Constructor	Description
	LagrangePolynomial(Field<E> field)
	MultivariatePolynomialDivision(Field<E> field, int variables)
	MultivariatePolynomialDivision(Field<E> field, int variables, Comparator<Monomial> ordering)

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

Fields in dk.jonaslindstrom.ruffini.polynomials.structures declared as Field

Modifier and Type	Field	Description
protected final Field<E>	PolynomialRing.field

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

Modifier and Type	Method	Description
Field<E>	PolynomialRing.getBaseField()
Field<E>	MultivariatePolynomialRing.getField()
Field<E>	PolynomialRingFFT.getField()

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

Modifier	Constructor	Description
	MultivariatePolynomialRing(Field<E> field, int variables)
	MultivariatePolynomialRing(Field<E> field, int variables, Comparator<Monomial> ordering)
	PolynomialRing(Field<E> field)
	PolynomialRingFFT(Field<E> field, E rootOfUnity, int n)
	PolynomialRingKaratsuba(Field<E> field)

Uses of Field in dk.jonaslindstrom.ruffini.reals.structures

Classes in dk.jonaslindstrom.ruffini.reals.structures that implement Field

Modifier and Type	Class	Description
class	ComplexNumbers
class	ConstructiveReals	The real numbers represented as constructive reals, e.g.
class	RealNumbers	Real numbers represented by Doubles.