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

Packages that use Ring

Package	Description
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.elements
dk.jonaslindstrom.ruffini.common.matrices.structures
dk.jonaslindstrom.ruffini.common.structures
dk.jonaslindstrom.ruffini.common.util
dk.jonaslindstrom.ruffini.finitefields
dk.jonaslindstrom.ruffini.integers.structures
dk.jonaslindstrom.ruffini.integers.structures.limbs
dk.jonaslindstrom.ruffini.polynomials.algorithms
dk.jonaslindstrom.ruffini.polynomials.elements
dk.jonaslindstrom.ruffini.polynomials.elements.recursive
dk.jonaslindstrom.ruffini.polynomials.structures
dk.jonaslindstrom.ruffini.reals.structures

Uses of Ring in dk.jonaslindstrom.arithmeticparser

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

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

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

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

Modifier and Type	Interface	Description
interface	Module<V,S,R extends Ring<S>>	A module over a ring R is an additive group V together with a scalar multiplication.

Subinterfaces of Ring in dk.jonaslindstrom.ruffini.common.abstractions

Modifier and Type	Interface	Description
interface	EuclideanDomain<E>	A Euclidean domain is a ring with Euclidean division.
interface	Field<E>	A field is a commutative ring where every non-zero element has a multiplicative inverse.

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

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

Modifier	Constructor	Description
	BitLength(Ring<E> ring, java.util.function.BiFunction<E,Integer,E> rightShift)
	DiscreteFourierTransform(Ring<E> ring, E nThPrincipalRootOfUnity, int n)
	DotProduct(Ring<E> ring)
	FDFT(Ring<F> ring, F a, int n)
	InverseDiscreteFourierTransform(Ring<E> ring, E nThPrincipalRootOfUnity, int n, E inverseOfN)

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

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

Modifier and Type	Class	Description
class	NullSafeRing<E>	This class wraps a ring but operations will treat null operands as if they were zero.
class	PerformanceLoggingField<E>	Wrapper for the ring class which logs the number of operations performed in this ring.
class	PerformanceLoggingRing<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 Ring

Modifier	Constructor	Description
	Calculator(Ring<E> ring)
	NullSafeRing(Ring<E> ring)
	PerformanceLoggingRing(Ring<E> ring)

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

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

Modifier	Constructor	Description
	Determinant(Ring<E> ring)
	GramMatrix(Ring<E> ring)
	KroneckerProduct(Ring<E> ring)
	MatrixMultiplication(Ring<E> ring)
	StrassenMultiplication(Ring<E> ring)
	StrassenMultiplication(Ring<E> ring, int bound)

Uses of Ring in dk.jonaslindstrom.ruffini.common.matrices.elements

Methods in dk.jonaslindstrom.ruffini.common.matrices.elements with parameters of type Ring

Modifier and Type	Method	Description
Vector<E>	BaseMatrix.apply(Vector<E> b, Ring<E> ring)
static <E> Matrix<E>	Matrix.eye(int n, Ring<E> ring)

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

Classes in dk.jonaslindstrom.ruffini.common.matrices.structures that implement Ring

Modifier and Type	Class	Description
class	MatrixRing<E>	This class represents a ring of n × n matrices over a base ring.

Constructors in dk.jonaslindstrom.ruffini.common.matrices.structures with parameters of type Ring

Modifier	Constructor	Description
	MatrixRing(Ring<E> baseRing, int n)

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

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

Modifier and Type	Class	Description
class	AbstractModule<V,S,R extends Ring<S>>

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

Modifier and Type	Class	Description
class	FieldOfFractions<E>
class	QuotientRing<E>

Fields in dk.jonaslindstrom.ruffini.common.structures declared as Ring

Modifier and Type	Field	Description
protected final R	AbstractModule.ring
protected final Ring<E>	QuotientRing.ring

Constructors in dk.jonaslindstrom.ruffini.common.structures with parameters of type Ring

Modifier	Constructor	Description
	QuotientRing(Ring<E> ring, java.util.function.UnaryOperator<E> reductionMap)

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

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

Modifier and Type	Class	Description
static class	TestUtils.TestBigIntegers
static class	TestUtils.TestField
static class	TestUtils.TestIntegers

Uses of Ring in dk.jonaslindstrom.ruffini.finitefields

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

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 Ring in dk.jonaslindstrom.ruffini.integers.structures

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

Modifier and Type	Class	Description
class	BigIntegers
class	BigIntegersModuloN	This class is an implementation of ℤ / nℤ, e.g.
class	BigRationals
class	Integers
class	IntegersModuloN	This class is an implementation of ℤ / nℤ, e.g.
class	Rationals

Uses of Ring in dk.jonaslindstrom.ruffini.integers.structures.limbs

Classes in dk.jonaslindstrom.ruffini.integers.structures.limbs that implement Ring

Modifier and Type	Class	Description
class	BigElements<E>

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

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

Modifier	Constructor	Description
	CharacteristicPolynomial(Ring<E> ring)
	Inversion(Ring<E> ring)

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

Methods in dk.jonaslindstrom.ruffini.polynomials.elements with parameters of type Ring

Modifier and Type	Method	Description
static <T> MultivariatePolynomial<T>	MultivariatePolynomial.add(MultivariatePolynomial<T> a, MultivariatePolynomial<T> b, Ring<T> ring)	Compute the sum of two polynomials
E	MultivariatePolynomial.apply(Vector<E> x, Ring<E> ring)
E	Polynomial.apply(E input, Ring<E> ring)
<S> S	Monomial.applyTerm(Vector<S> a, Ring<S> ring)
MultivariatePolynomial<E>	MultivariatePolynomial.differentiate(int variable, Ring<E> ring)
Polynomial<E>	Polynomial.differentiate(Ring<E> ring)
static <T> MultivariatePolynomial<T>	MultivariatePolynomial.multiply(MultivariatePolynomial<T> a, MultivariatePolynomial<T> b, Ring<T> ring)	Compute the product of two polynomials
Polynomial<E>	Polynomial.scale(E scale, Ring<E> ring)

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

Modifier	Constructor	Description
	Builder(int variables, Ring<S> ring)
	Builder(int variables, Ring<S> ring, MonomialOrdering ordering)
	Builder(Ring<S> ring)
	Polynomial(Vector<E> coefficients, Ring<E> ring)

Uses of Ring in dk.jonaslindstrom.ruffini.polynomials.elements.recursive

Methods in dk.jonaslindstrom.ruffini.polynomials.elements.recursive with parameters of type Ring

Modifier and Type	Method	Description
S	Polynomial.apply(List<S> x, Ring<S> ring)
Pair<Polynomial<S>,Polynomial<S>>	Polynomial.divide(Polynomial<S> other, Ring<S> ring)
protected Pair<Polynomial<S>,Polynomial<S>>	Polynomial.divideInternal(Polynomial<S> d, Polynomial<S> q, Ring<S> ring)
Polynomial<S>	Polynomial.multiply(Polynomial<S> other, Ring<S> ring)	Multiply this polynomial with another and return the result.

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

Classes in dk.jonaslindstrom.ruffini.polynomials.structures that implement Ring

Modifier and Type	Class	Description
class	MultivariatePolynomialRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	MultivariatePolynomialRingOverRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingFFT<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingKaratsuba<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingOverRing<E>

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

Modifier and Type	Method	Description
Ring<E>	MultivariatePolynomialRingOverRing.getRing()
Ring<E>	PolynomialRingOverRing.getRing()

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

Modifier	Constructor	Description
	MultivariatePolynomialRingOverRing(Ring<E> ring, int variables)
	PolynomialRingOverRing(Ring<E> ring)
	PolynomialRingOverRing(Ring<E> ring, String variable)

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

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

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.