#include <synthetic.hpp>
Inheritance diagram for syn::lennard_jones:
Public Member Functions | |
| 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 Lennard Jones 6 benchmark function has the following formula:
\[ f(\mathbf{x}) = \sum^{n/3-1}_{i=1} \sum^{n/3}_{i=1} \delta_{e_{ij}} (e_{ij}^{-3} - 2)e_{ij}^{-3} \]
where
\[ \begin{align*} \delta_{e_{ij}} &= \begin{cases} 0 &\text{if } e_{ij} \le 0 \\ 1 &\text{othersise,} \\ e_{ij} &= (x_{3i} - x_{3j})^2 + (x_{3i+1} - x_{3j+1})^2 + (x_{3i+2} - x_{3i+2})^2 \end{align*} \]
subject to \(-3 \le x_i \le 3\) with a global minimum located at \(\mathbf{x}^* = (-2.66666470373, 2.73904387714, 1.42304625988, -1.95553276732, 2.81714839844, 2.12175295546)\), with value \(f(\mathbf{x}^*) = -1\).
Member Function Documentation
◆ evaluate()
|
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.
The documentation for this class was generated from the following files:
- includes/benchmarks/synthetic.hpp
- src/benchmarks/synthetic.cpp
