OPTK  0.1.2
Toolkit for global optimisation algorithms
Public Member Functions | List of all members
syn::chung_reynolds Class Reference

#include <synthetic.hpp>

Inheritance diagram for syn::chung_reynolds:
syn::synthetic optk::benchmark

Public Member Functions

 chung_reynolds (int dims)
 
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_tget_search_space ()
 
void set_properties (std::vector< properties > p)
 
std::vector< propertiesget_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< propertiesm_properties
 
inst::set opt_params
 
sspace::sspace_t m_sspace
 
- Protected Attributes inherited from optk::benchmark
std::string m_name
 

Detailed Description

\( with value \)({x}^*) = -1.031628%. */ class camel6: public synthetic { public: camel6 (); double evaluate (inst::set x) override; };

// We omit the chen* functions on the basis that they are difficult to // calculate leading to floating-point errors. When we are given control over // the experimental design, we can constrain our optimisations to values which // are easily represented by floating-point values; henc ethese benchmarks can // be considered somewhat unrealistic.

/** The Chichinadze function has the following formula

\[ f(\mathbf{x}) = x_1^2 - 12x_1 + 11 + 10\cos(\pi x_1/2) + 8\sin(5\pi x_1/2) - (1/5)^{1/2}\exp\bigg(-0.5(x_2 - 0.5)^2\bigg), \]

subject to \(-30 \le x_i \le 30\), with two global minimum located at \(\mathbf{x}^* = (6.189866586965680, 0.5)\) with value \(f(\mathbf{x}^*) = -42.94438701899098\f%. */ class chichinadze: public synthetic { public: chichinadze (); double evaluate (inst::set x) override; }; /** The Chung Reynolds functions has the following formula: \f[ f(\mathbf{x}) = \left(\sum^D_{i=1}x_i^2\right)^2, \f] subject to \)-100 x_i 100 \(, with the global minimum located at \){x}^* = (0, , 0) \( with value \)f({x}^*) = 0

Member Function Documentation

◆ evaluate()

double syn::chung_reynolds::evaluate ( inst::set  x)
overridevirtual

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

Parameters
xA 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.


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