dev.nm.analysis.function.polynomial.root

Class CubicRoot

java.lang.Object

dev.nm.analysis.function.polynomial.root.CubicRoot

All Implemented Interfaces:

PolyRootSolver

public class CubicRoot
extends Object
implements PolyRootSolver

This is a cubic equation solver. This implementation solves \(ax^3 + bx^2 + cx + d = 0\) using Cardano's method.

See Also:

• Wikipedia: CubicRoot equation
• Wikipedia: Cardano's method
• Wikipedia: Root-finding formula for cubic equation

Constructor Summary

Constructors

Constructor and Description
CubicRoot()

Method Summary

Modifier and Type	Method and Description
List<Number>	solve(Polynomial polynomial) Solve \(ax^3 + bx^2 + cx + d = 0\).

Methods inherited from class java.lang.Object

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

Constructor Detail

CubicRoot

public CubicRoot()

Method Detail

solve

public List<Number> solve(Polynomial polynomial)

Solve \(ax^3 + bx^2 + cx + d = 0\).

Specified by:

solve in interface PolyRootSolver

Parameters:

polynomial - a cubic equation to be solved

Returns:

the roots of the cubic equation

Throws:

IllegalArgumentException - if the polynomial degree is not 3