Package cc.redberry.rings.poly.multivar

Class MultivariateInterpolation.Interpolation<E>

java.lang.Object

cc.redberry.rings.poly.multivar.MultivariateInterpolation.Interpolation<E>

Enclosing class:

MultivariateInterpolation

public static final class MultivariateInterpolation.Interpolation<E>
extends Object

Updatable Newton interpolation

Constructor Summary

Constructors

Constructor	Description
Interpolation(int variable, IPolynomialRing<MultivariatePolynomial<E>> factory)	Start new interpolation
Interpolation(int variable, MultivariatePolynomial<E> factory)	Start new interpolation
Interpolation(int variable, E point, MultivariatePolynomial<E> value)	Start new interpolation with interpolation[variable = point] = value

Method Summary

Modifier and Type	Method	Description
MultivariatePolynomial<E>	getInterpolatingPolynomial()	Returns resulting interpolating polynomial
List<E>	getPoints()	Returns the list of evaluation points used in interpolation
List<MultivariatePolynomial<E>>	getValues()	Returns the list of polynomial values at interpolation points
int	getVariable()	Returns variable used in the interpolation
int	numberOfPoints()	Returns the number of interpolation points used
MultivariateInterpolation.Interpolation<E>	update(E[] points, MultivariatePolynomial<E>[] values)	Updates interpolation, so that interpolating polynomial satisfies interpolation[point] = value
MultivariateInterpolation.Interpolation<E>	update(E point, MultivariatePolynomial<E> value)	Updates interpolation, so that interpolating polynomial satisfies interpolation[point] = value

Methods inherited from class java.lang.Object

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

Constructor Details

Interpolation

public Interpolation(int variable,
E point,
MultivariatePolynomial<E> value)

Start new interpolation with interpolation[variable = point] = value

Parameters:

variable - interpolating variable

point - evaluation point

value - polynomial value at point

Interpolation

public Interpolation(int variable,
MultivariatePolynomial<E> factory)

Start new interpolation

Parameters:

variable - interpolating variable

factory - factory polynomial

Interpolation

public Interpolation(int variable,
IPolynomialRing<MultivariatePolynomial<E>> factory)

Start new interpolation

Parameters:

variable - interpolating variable

factory - factory polynomial

Method Details

update

public MultivariateInterpolation.Interpolation<E> update(E point,
MultivariatePolynomial<E> value)

Updates interpolation, so that interpolating polynomial satisfies interpolation[point] = value

Parameters:

point - evaluation point

value - polynomial value at point

update

public MultivariateInterpolation.Interpolation<E> update(E[] points,
MultivariatePolynomial<E>[] values)

Updates interpolation, so that interpolating polynomial satisfies interpolation[point] = value

Parameters:

points - evaluation points

values - polynomial values at point

getVariable

public int getVariable()

Returns variable used in the interpolation

Returns:

variable used in the interpolation

getInterpolatingPolynomial

public MultivariatePolynomial<E> getInterpolatingPolynomial()

Returns resulting interpolating polynomial

Returns:

interpolating polynomial

getPoints

public List<E> getPoints()

Returns the list of evaluation points used in interpolation

Returns:

list of evaluation points used in interpolation

getValues

public List<MultivariatePolynomial<E>> getValues()

Returns the list of polynomial values at interpolation points

Returns:

the list of polynomial values at interpolation points

numberOfPoints

public int numberOfPoints()

Returns the number of interpolation points used

Returns:

number of interpolation points used