agi.foundation.numericalmethods

(agi.foundation.core-2024r3.jar)

Class QuarticRealPolynomial

java.lang.Object

agi.foundation.numericalmethods.advanced.RealPolynomial

agi.foundation.numericalmethods.QuarticRealPolynomial

public class QuarticRealPolynomial
extends RealPolynomial

Represents a 4th order polynomial function of one variable with only real coefficients.

Constructor Summary

Constructors

Constructor and Description
QuarticRealPolynomial(double a, double b, double c, double d, double e) Constructs a quartic polynomial with the provided real coefficients.

Method Summary

Modifier and Type	Method and Description
double	discriminant() Provides the discriminant of the quartic equation from the supplied coefficients.
static double	discriminant(double a, double b, double c, double d, double e) Provides the discriminant of the quartic equation from the supplied coefficients.
double	getA() Gets the coefficient of the 4th order monomial.
double	getB() Gets the coefficient of the 3rd order monomial.
double	getC() Gets the coefficient of the 2nd order monomial.
double	getD() Gets the coefficient of the 1st order monomial.
double	getE() Gets the coefficient of the 0th order monomial.
double[]	realRoots() Provides the real valued roots of the real polynomial.
static double[]	realRoots(double a, double b, double c, double d, double e) Compute real roots.

Methods inherited from class agi.foundation.numericalmethods.advanced.RealPolynomial

evaluate, evaluate, get, getOrder

Methods inherited from class java.lang.Object

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

Constructor Detail

QuarticRealPolynomial

public QuarticRealPolynomial(double a,
                             double b,
                             double c,
                             double d,
                             double e)

Constructs a quartic polynomial with the provided real coefficients.

Parameters:

a - The coefficient of the 4th order monomial.

b - The coefficient of the 3rd order monomial.

c - The coefficient of the 2nd order monomial.

d - The coefficient of the 1st order monomial.

e - The coefficient of the 0th order monomial.

Method Detail

getA

public final double getA()

Gets the coefficient of the 4th order monomial.

getB

public final double getB()

Gets the coefficient of the 3rd order monomial.

getC

public final double getC()

Gets the coefficient of the 2nd order monomial.

getD

public final double getD()

Gets the coefficient of the 1st order monomial.

getE

public final double getE()

Gets the coefficient of the 0th order monomial.

realRoots

@Nonnull
public final double[] realRoots()

Provides the real valued roots of the real polynomial.

Returns:

An array containing the real valued roots.

discriminant

public final double discriminant()

Provides the discriminant of the quartic equation from the supplied coefficients.

Returns:

The value of the discriminant.

discriminant

public static double discriminant(double a,
                                  double b,
                                  double c,
                                  double d,
                                  double e)

Provides the discriminant of the quartic equation from the supplied coefficients.

Parameters:

a - The coefficient of the 4th order monomial.

b - The coefficient of the 3rd order monomial.

c - The coefficient of the 2nd order monomial.

d - The coefficient of the 1st order monomial.

e - The coefficient of the 0th order monomial.

Returns:

The value of the discriminant.

realRoots

@Nonnull
public static double[] realRoots(double a,
                                           double b,
                                           double c,
                                           double d,
                                           double e)

Compute real roots.

Parameters:

a - The coefficient of the 4th order monomial.

b - The coefficient of the 3rd order monomial.

c - The coefficient of the 2nd order monomial.

d - The coefficient of the 1st order monomial.

e - The coefficient of the 0th order monomial.

Returns:

An array containing the real valued roots.