sot::Ackley Class Reference

Ackley function More...

#include <test_problems.h>

Inheritance diagram for sot::Ackley:

Public Member Functions
	Ackley (int dim)
	Constructor. More...
vec	lBounds () const
	Method for getting the lower variable bounds. More...
vec	uBounds () const
	Method for getting the upper variable bounds. More...
int	dim () const
	Method for getting the number of dimensions. More...
double	min () const
	Method for getting global minimum value. More...
vec	optimum () const
	Method for getting the global minimizer. More...
std::string	name () const
	Method for getting the name of the optimization problem. More...
double	eval (const vec &x) const
	Method for evaluating the objective function. More...
Public Member Functions inherited from sot::TestProblem
vec	evals (const mat &points) const
	Method for evaluating the objective function at multiple points. More...

Protected Attributes
int	mDim
vec	mxLow
vec	mxUp
vec	mOptimum
double	mMinimum = - 20 - exp(1)
std::string	mName = "Ackley"

Detailed Description

Ackley function

Function: \(f(x) = -20\exp\left(-0.2\sqrt{\displaystyle\frac{1}{d}\displaystyle\sum_{i=1}^d x_i^2}\right) - \exp\left(\displaystyle\frac{1}{d}\displaystyle\sum_{i=1}^d \cos(2\pi x_i)\right)\)
Domain: \( -15 \leq x_i \leq 20 \)
Minimum value: \(-20-e\)
Minimizer: \( [0,\ldots,0]\)

Author

David Eriksson, dme65.nosp@m.@cor.nosp@m.nell..nosp@m.edu

Constructor & Destructor Documentation

sot::Ackley::Ackley ( int  dim )

inline

Constructor.

Parameters

dim	Number of dimensions

Member Function Documentation

int sot::Ackley::dim ( ) const

inlinevirtual

Method for getting the number of dimensions.

Returns

The number of dimensions

Implements sot::Problem.

double sot::Ackley::eval ( const vec &  point ) const

inlinevirtual

Method for evaluating the objective function.

Parameters

point

Is the next point for which to evaluate the objective function

Returns

The value of the objective function at the input

Implements sot::Problem.

vec sot::Ackley::lBounds ( ) const

inlinevirtual

Method for getting the lower variable bounds.

Returns

Upper variable bounds

Implements sot::Problem.

double sot::Ackley::min ( ) const

inlinevirtual

Method for getting global minimum value.

Returns

Value at the global minumum

Implements sot::Problem.

std::string sot::Ackley::name ( ) const

inlinevirtual

Method for getting the name of the optimization problem.

Returns

The optimization problem name

Implements sot::Problem.

vec sot::Ackley::optimum ( ) const

inlinevirtual

Method for getting the global minimizer.

Returns

The global minimizer

Implements sot::Problem.

vec sot::Ackley::uBounds ( ) const

inlinevirtual

Method for getting the upper variable bounds.

Returns

Upper variable bounds

Implements sot::Problem.

Member Data Documentation

int sot::Ackley::mDim

protected

Number of dimensions

double sot::Ackley::mMinimum = - 20 - exp(1)

protected

Global minimum value

std::string sot::Ackley::mName = "Ackley"

protected

Optimization problem name

vec sot::Ackley::mOptimum

protected

Global minimizer

vec sot::Ackley::mxLow

protected

Lower variable bounds

vec sot::Ackley::mxUp

protected

Upper variable bounds

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The documentation for this class was generated from the following file:

• include/sot_bits/test_problems.h