com.numericalmethod.suanshu.analysis.function.polynomial.root
Class Cubic

java.lang.Object
  com.numericalmethod.suanshu.analysis.function.polynomial.root.Cubic

All Implemented Interfaces:

Solver

public class Cubic
extends java.lang.Object
implements Solver

This is a cubic equation solver.

Solve

ax³ + bx² + cx + d = 0

using cubic root-finding formula, which is based on Cardano's method.

See Also:

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

Nested Class Summary

Nested classes/interfaces inherited from interface com.numericalmethod.suanshu.analysis.function.polynomial.root.Solver

Solver.RootFindingException, Solver.Type

Constructor Summary

Cubic()

Method Summary

NumberList	solve(Polynomial polynomial) Solve ax3 + bx2 + cx + d = 0
Solver.Type	type() Get the type of the solver.

Methods inherited from class java.lang.Object

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

Constructor Detail

Cubic

public Cubic()

Method Detail

type

public Solver.Type type()

Description copied from interface: Solver

Get the type of the solver.

Specified by:

type in interface Solver

Returns:

the solver type

solve

public NumberList solve(Polynomial polynomial)

Solve

ax³ + bx² + cx + d = 0

Specified by:

solve in interface Solver

Parameters:

polynomial - the cubic polynomial to solve

Returns:

a list of all roots in Number

Throws:

java.lang.IllegalArgumentException - if the polynomial degree is not 3