Uses of Interface
orbital.math.Euclidean

Packages that use Euclidean

orbital.math

Defines arithmetic objects and provides mathematical algorithms.

Uses of Euclidean in orbital.math

Subinterfaces of Euclidean in orbital.math

interface	Integer Representation of an integer number k∈Z.
interface	UnivariatePolynomial (Univariate) polynomial p∈R[X].

Methods in orbital.math that return Euclidean

static Euclidean[]	MathUtilities.gcd(Euclidean[] elements) Deprecated. Use AlgebraicAlgorithms.gcd(Euclidean[]) instead.
static Euclidean[]	AlgebraicAlgorithms.gcd(Euclidean[] elements) n-ary and extended gcd.
static Euclidean	MathUtilities.gcd(Euclidean a, Euclidean b) Deprecated. Use AlgebraicAlgorithms.gcd(Euclidean,Euclidean) instead.
static Euclidean	AlgebraicAlgorithms.gcd(Euclidean a, Euclidean b) Returns greatest common divisor (gcd) of two elements of an (Euclidean) ring.
static Euclidean	MathUtilities.lcm(Euclidean a, Euclidean b) Deprecated. Use AlgebraicAlgorithms.lcm(Euclidean,Euclidean) instead.
static Euclidean	AlgebraicAlgorithms.lcm(Euclidean a, Euclidean b) Returns least common multiple (lcm) of two ring elements.
Euclidean	Euclidean.modulo(Euclidean g) Get the Euclidean remainder, modulo g.
Euclidean	Euclidean.quotient(Euclidean g) Get the Euclidean "quotient" by g.

Methods in orbital.math with parameters of type Euclidean

static Euclidean[]	MathUtilities.gcd(Euclidean[] elements) Deprecated. Use AlgebraicAlgorithms.gcd(Euclidean[]) instead.
static Euclidean[]	AlgebraicAlgorithms.gcd(Euclidean[] elements) n-ary and extended gcd.
static Euclidean	MathUtilities.gcd(Euclidean a, Euclidean b) Deprecated. Use AlgebraicAlgorithms.gcd(Euclidean,Euclidean) instead.
static Euclidean	AlgebraicAlgorithms.gcd(Euclidean a, Euclidean b) Returns greatest common divisor (gcd) of two elements of an (Euclidean) ring.
static Euclidean	MathUtilities.lcm(Euclidean a, Euclidean b) Deprecated. Use AlgebraicAlgorithms.lcm(Euclidean,Euclidean) instead.
static Euclidean	AlgebraicAlgorithms.lcm(Euclidean a, Euclidean b) Returns least common multiple (lcm) of two ring elements.
Euclidean	Euclidean.modulo(Euclidean g) Get the Euclidean remainder, modulo g.
Euclidean	Euclidean.quotient(Euclidean g) Get the Euclidean "quotient" by g.
Quotient	ValueFactory.quotient(Euclidean a, Euclidean m) Returns a new quotient ā=[a]∈M/(m) of the given value reduced modulo m.
Quotient	ValueFactory.quotient(Euclidean a, Function mod) (disambiguates type unification).
Quotient	ValueFactory.quotient(Euclidean a, UnivariatePolynomial m) (disambiguates type unification).