syn::ackley1 Class Reference

#include <synthetic.hpp>

Inheritance diagram for syn::ackley1:

Public Member Functions
	ackley1 (int d)
double	evaluate (inst::set x) override
Public Member Functions inherited from syn::synthetic
	synthetic (const std::string &n, u_int dims, double lb, double ub, double opt)
	synthetic (const std::string &n, u_int dims, double opt)
	~synthetic ()
sspace::sspace_t *	get_search_space ()
void	set_properties (std::vector< properties > p)
std::vector< properties >	get_properties ()
inst::set	get_opt_param ()
double	get_opt ()
void	update_opt (double opt)
u_int	get_dims ()
void	validate_param_set (inst::set x)
Public Member Functions inherited from optk::benchmark
	benchmark (const std::string &name)
std::string	get_name ()

Additional Inherited Members
Protected Member Functions inherited from syn::synthetic
void	set_opt_param (inst::set op)
Protected Attributes inherited from syn::synthetic
u_int	m_dims
double	m_lb
double	m_ub
double	m_opt
std::vector< properties >	m_properties
inst::set	opt_params
sspace::sspace_t	m_sspace
Protected Attributes inherited from optk::benchmark
std::string	m_name

Detailed Description

The ackley1 function has formula

\[ f(x) = -20e^{0.02\sqrt{D^{-1}\sum^D_{i=1}x^2_i}} - e^{D^{-1}\sum^D_{i=1}\cos(2\pi x_i)} + 20 + e, \]

with \(D\) being the number of dimensions of the problem. The global minimum is located at the origin; \(\mathbf{x}^* = (0, \ldots, 0)\), with \(f(\mathbf{x^*}) = 0\). The bounds are subject to \(-35 \le x_i \le 35\).

Constructor & Destructor Documentation

ackley1()

syn::ackley1::ackley1

(

int

d

)

The constructor for the ackley1 function.

Parameters

d	The number of dimensions for this problem.

Member Function Documentation

evaluate()

double syn::ackley1::evaluate ( inst::set  x )

overridevirtual

Evaluate the benchmark (i.e. calculate the value of the objective fuinction) on the provided values.

Parameters

x	A vector of double-precision values to evaluate the benchmark at.

Todo:

Verify that a vector of doubles does not constrict the range of benchmark functions which may be evaluated (i.e. as opposed to categorical variables such as strings).

Implements optk::benchmark.

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

• includes/benchmarks/synthetic.hpp
• src/benchmarks/synthetic.cpp