Package dk.jonaslindstrom.ruffini.polynomials.elements

Class MultivariatePolynomial<E>

java.lang.Object

dk.jonaslindstrom.ruffini.polynomials.elements.MultivariatePolynomial<E>

All Implemented Interfaces:

java.util.function.BiFunction<Vector<E>,Ring<E>,E>

public class MultivariatePolynomial<E>
extends Object
implements java.util.function.BiFunction<Vector<E>,Ring<E>,E>

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static class	MultivariatePolynomial.Builder<S>

Field Summary

Fields

Modifier and Type	Field	Description
static MonomialOrdering	DEFAULT_ORDERING

Method Summary

Modifier and Type	Method	Description
static <T> MultivariatePolynomial<T>	add(MultivariatePolynomial<T> a, MultivariatePolynomial<T> b, Ring<T> ring)	Compute the sum of two polynomials
E	apply(Vector<E> x, Ring<E> ring)
Iterable<Pair<Monomial,E>>	coefficients()
static <T> MultivariatePolynomial<T>	constant(T coefficient, int variables)	Create a new constant polynomials
MultivariatePolynomial<E>	differentiate(int variable, Ring<E> ring)
E	getCoefficient(int... d)	Get the coefficient for the monomial x0d0 ...
E	getCoefficient(Monomial d)	Get the coefficient for the monomial x0d0 ...
E	leadingCoefficient()
E	leadingCoefficient(Comparator<Monomial> ordering)
Monomial	leadingMonomial()
Monomial	leadingMonomial(Comparator<Monomial> ordering)
<F> MultivariatePolynomial<F>	mapCoefficients(java.util.function.Function<E,F> converter)
static <T> MultivariatePolynomial<T>	monomial(T a, int... d)	Create a monomial a x0d0 ...
static <T> MultivariatePolynomial<T>	monomial(T a, Monomial d)	Create a monomial a x0d0 ...
Iterable<Monomial>	monomials()
static <T> MultivariatePolynomial<T>	multiply(MultivariatePolynomial<T> a, MultivariatePolynomial<T> b, Ring<T> ring)	Compute the product of two polynomials
String	toString()
String	toString(java.util.function.IntFunction<String> variables)
int	variables()	Return the number of variables in this polynomial as defined when it was created.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface java.util.function.BiFunction

andThen

Field Details

DEFAULT_ORDERING

public static MonomialOrdering DEFAULT_ORDERING

Method Details

multiply

public static <T> MultivariatePolynomial<T> multiply(MultivariatePolynomial<T> a,
 MultivariatePolynomial<T> b,
 Ring<T> ring)

Compute the product of two polynomials

add

public static <T> MultivariatePolynomial<T> add(MultivariatePolynomial<T> a,
 MultivariatePolynomial<T> b,
 Ring<T> ring)

Compute the sum of two polynomials

monomial

public static <T> MultivariatePolynomial<T> monomial(T a,
 int... d)

Create a monomial a x₀^d₀ ... x_n-1^d_n-1.

monomial

public static <T> MultivariatePolynomial<T> monomial(T a,
 Monomial d)

Create a monomial a x₀^d₀ ... x_n-1^d_n-1.

constant

public static <T> MultivariatePolynomial<T> constant(T coefficient,
 int variables)

Create a new constant polynomials

toString

public String toString()

Overrides:

toString in class Object

toString

public String toString(java.util.function.IntFunction<String> variables)

apply

public E apply(Vector<E> x,
 Ring<E> ring)

Specified by:

apply in interface java.util.function.BiFunction<Vector<E>,Ring<E>,E>

differentiate

public MultivariatePolynomial<E> differentiate(int variable,
 Ring<E> ring)

variables

public int variables()

Return the number of variables in this polynomial as defined when it was created.

getCoefficient

public E getCoefficient(int... d)

Get the coefficient for the monomial x₀^d₀ ... x_n-1^d_n-1

getCoefficient

public E getCoefficient(Monomial d)

Get the coefficient for the monomial x₀^d₀ ... x_n-1^d_n-1

leadingMonomial

public Monomial leadingMonomial()

leadingMonomial

public Monomial leadingMonomial(Comparator<Monomial> ordering)

leadingCoefficient

public E leadingCoefficient(Comparator<Monomial> ordering)

leadingCoefficient

public E leadingCoefficient()

coefficients

public Iterable<Pair<Monomial,E>> coefficients()

monomials

public Iterable<Monomial> monomials()

mapCoefficients

public <F> MultivariatePolynomial<F> mapCoefficients(java.util.function.Function<E,F> converter)