net.sourceforge.cilib.functions.continuous.unconstrained
Class Branin

java.lang.Object
  net.sourceforge.cilib.functions.Function
      net.sourceforge.cilib.functions.ContinuousFunction
          net.sourceforge.cilib.functions.continuous.unconstrained.Branin

All Implemented Interfaces:

Serializable, Cloneable

public class Branin
extends ContinuousFunction
implements Serializable

Booth Function

Reference: X. Yao, Y. Liu, G. Liu, Evolutionary Programming Made Faster, IEEE Transactions on Evolutionary Computation, 3(1):82--102, 1999

Minimum:

• f(x*) = 0.397887
• x* = (-pi, 12.275), (pi, 2.275), (9.425, 2.425)
• for x_1 in [-5,10], x_2 in [0,15]

Characteristics:

• Only defined for 2 dimensions
• Has 3 global minima
• Unimodal
• Seperable
• Regular

Author:

Clive Naicker

See Also:

Serialized Form

Constructor Summary

Branin()
Create a new instance of Branin.

Method Summary

double	evaluate(Vector x) Evaluate the function with the given Vector as input.
Branin	getClone() Create a cloned copy of the current object and return it.
Object	getMinimum() Accessor for the function minimum.

Methods inherited from class net.sourceforge.cilib.functions.ContinuousFunction

evaluate, getMaximum

Methods inherited from class net.sourceforge.cilib.functions.Function

getBehavioralDomainRegistry, getDimension, getDomain, getDomainRegistry, setBehavioralDomain, setBehaviouralDomainRegistry, setDomain

Methods inherited from class java.lang.Object

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

Constructor Detail

Branin

public Branin()

Create a new instance of Branin. Domain defaults to: R(-5,10),R(0,15)

Method Detail

getClone

public Branin getClone()

Create a cloned copy of the current object and return it. In general the created copy will be a deep copy of the provided instance. As a result this operation an be quite expensive if used incorrectly.

Specified by:

getClone in interface Cloneable

Specified by:

getClone in class ContinuousFunction

Returns:

An exact clone of the current object instance.

See Also:

Object.clone()

getMinimum

public Object getMinimum()

Accessor for the function minimum. This is the minimum value of the function in the given domain. The minimum is located at 0.397887.

Overrides:

getMinimum in class ContinuousFunction

Returns:

The minimum function value.

evaluate

public double evaluate(Vector x)

Evaluate the function with the given Vector as input.

Specified by:

evaluate in class ContinuousFunction

Parameters:

x - The input Vector.

Returns:

The value of the evaluation.