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

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

All Implemented Interfaces:

Solver

public class Quadratic
extends java.lang.Object
implements Solver

This is a quadratic equation solver.

Solve

ax² + bx + c = 0

The roots are:

 -b     SQRT(b2 - 4ac)
 -- ± ------------------
 2a           2a
 

See Also:

Wikipedia: Quadratic equation

Nested Class Summary

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

Solver.RootFindingException, Solver.Type

Constructor Summary

Quadratic()
Construct a Solver instance to solve quadratic equations.

Method Summary

NumberList	solve(Polynomial polynomial) Solve ax2 + bx + c = 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

Quadratic

public Quadratic()

Construct a Solver instance to solve quadratic equations.

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

ax² + bx + c = 0

Specified by:

solve in interface Solver

Parameters:

polynomial - the quadratic polynomial to solve

Returns:

a list of all roots in Number

Throws:

java.lang.IllegalArgumentException - if the polynomial degree is not 2