math.polynomial.interpolation

Class NewtonPolynomial

java.lang.Object

math.polynomial.interpolation.NewtonPolynomial

public final class NewtonPolynomial
extends Object

Represents the Newton form of an interpolating polynomial.

Constructor Summary

Constructors

Constructor and Description
NewtonPolynomial(double[] point, double[] value) Create a new Newton polynomial with the given points and function values.

Method Summary

Modifier and Type	Method and Description
boolean	equals(Object o)
double	evaluateAt(double x) Evaluate this Newton polynomial at the given point.
int	hashCode()
CubicFunction	toCubic() Convert this Newton polynomial to the standard form of a cubic function, f(x) = ax3 + bx2 + cx + d.
QuadraticFunction	toQuadratic() Convert this Newton polynomial to the standard form of a quadratic function, f(x) = ax2 + bx + c.

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

NewtonPolynomial

public NewtonPolynomial(double[] point,
                        double[] value)

Create a new Newton polynomial with the given points and function values.

Parameters:

point - the array of sample points.

value - the array of sample function values at each corresponding point.

Method Detail

evaluateAt

public double evaluateAt(double x)

Evaluate this Newton polynomial at the given point.

Parameters:

x - the point at which to evaluate this Newton polynomial.

Returns:

the value of the polynomial at the given point.

toQuadratic

public QuadraticFunction toQuadratic()
                              throws IllegalStateException

Convert this Newton polynomial to the standard form of a quadratic function, f(x) = ax² + bx + c.

Returns:

this Newton polynomial converted to standard quadratic form.

Throws:

IllegalStateException - if the degree of this Newton polynomial is lower than 2.

toCubic

public CubicFunction toCubic()
                      throws IllegalStateException

Convert this Newton polynomial to the standard form of a cubic function, f(x) = ax³ + bx² + cx + d.

Returns:

this Newton polynomial converted to standard cubic form.

Throws:

IllegalStateException - if the degree of this Newton polynomial is lower than 3.

equals

public boolean equals(Object o)

Overrides:

equals in class Object

hashCode

public int hashCode()

Overrides:

hashCode in class Object