org.geotools.math
Class Polynom

java.lang.Object
  org.geotools.math.Polynom

All Implemented Interfaces:

java.io.Serializable

public class Polynom

extends java.lang.Object

implements java.io.Serializable

The coefficients of a polynomial equation. The equation must be in the form y = c0 + c1×x + c2×x2 + c3×x3 + ... + cn×xn. The static method roots(double[]) can be used for computing the root of a polynomial equation without creating a object.

Since:

2.0

Version:

$Id: Polynom.java 17672 2006-01-19 00:25:55Z desruisseaux $

Author:

Ken Turkiwski, Martin Desruisseaux

See Also:

Serialized Form

Constructor Summary

Polynom(double[] c)
Construct a polynom with the specified coefficients.

Method Summary

boolean	equals(java.lang.Object object) Compare this polynom with the specified object for equality.
int	hashCode() Returns a hash value for this polynom.
static void	main(java.lang.String[] c) Display to the standard output the roots of a polynomial equation.
double[]	roots() Find the roots of this polynome.
static double[]	roots(double[] c) Find the roots of a polynomial equation.
java.lang.String	toString() Returns a string representation of this polynom.
double	y(double x) Evaluate this polynomial equation for the specified x value.

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

Polynom

public Polynom(double[] c)

Construct a polynom with the specified coefficients.

Parameters:

c - The coefficients. This array is copied.

Method Detail

y

public final double y(double x)

Evaluate this polynomial equation for the specified x value. More specifically, this method compute c0 + c1×x + c2×x2 + c3×x3 + ... + cn×xn.

roots

public double[] roots()

Find the roots of this polynome.

Returns:

The roots.

roots

public static double[] roots(double[] c)

Find the roots of a polynomial equation. More specifically, this method solve the following equation:

c[0] + c[1]*x + c[2]*x2 + c[3]*x3 + ... + c[n]*xn == 0

where n is the array length minus 1.

Parameters:

c - The coefficients for the polynomial equation.

Returns:

The roots. This array may have any length up to .

Throws:

java.lang.UnsupportedOperationException - if there is more coefficients than this method can handle.

main

public static void main(java.lang.String[] c)

Display to the standard output the roots of a polynomial equation. More specifically, this method solve the following equation:

c[0] + c[1]*x + c[2]*x2 + c[3]*x3 + ... + c[n]*xn == 0

where n is the array length minus 1.

Parameters:

c - The coefficients for the polynomial equation.

hashCode

public int hashCode()

Returns a hash value for this polynom.

equals

public boolean equals(java.lang.Object object)

Compare this polynom with the specified object for equality.

toString

public java.lang.String toString()

Returns a string representation of this polynom.