## Class Cubic

- java.lang.Object
- edu.rit.numeric.Cubic

public class Cubicextends Object

Class Cubic solves for the real roots of a cubic equation with real coefficients. The cubic equation is of the form*ax*^{3}+*bx*^{2}+*cx*+*d*= 0To solve a cubic equation, construct an instance of class Cubic; call the Cubic object's

`solve()`method, passing in the coefficients*a*,*b*,*c*, and*d*; and obtain the roots from the Cubic object's fields. The number of (real) roots, either 1 or 3, is stored in field`nRoots`. If there is one root, it is stored in field`x1`, and fields`x2`and`x3`are set to NaN. If there are three roots, they are stored in fields`x1`,`x2`, and`x3`in descending order.The same Cubic object may be used to solve several cubic equations. Each time the

`solve()`method is called, the solution is stored in the Cubic object's fields.The formulas for the roots of a cubic equation come from:

E. Weisstein. "Cubic formula." From

*MathWorld*--A Wolfram Web Resource. http://mathworld.wolfram.com/CubicFormula.html

### Field Summary

Fields Modifier and Type Field and Description `int`

**nRoots**The number of real roots.`double`

**x1**The first real root.`double`

**x2**The second real root.`double`

**x3**The third real root.

### Constructor Summary

Constructors Constructor and Description **Cubic**()Construct a new Cubic object.

### Field Detail

#### nRoots

public int nRoots

The number of real roots.

#### x1

public double x1

The first real root.

#### x2

public double x2

The second real root.

#### x3

public double x3

The third real root.

### Method Detail

#### solve

public void solve(double a, double b, double c, double d)

Solve the cubic equation with the given coefficients. The results are stored in this Cubic object's fields.- Parameters:
`a`

- Coefficient of*x*^{3}.`b`

- Coefficient of*x*^{2}.`c`

- Coefficient of*x*.`d`

- Constant coefficient.- Throws:
`DomainException`

- (unchecked exception) Thrown if`a`is 0; in other words, the coefficients do not represent a cubic equation.

**SCaVis 1.8 © jWork.org**