#' @title
#' Booth Function
#'
#' @description
#' This function is based on the formula
#' \deqn{f(\mathbf{x}) = (\mathbf{x}_1 + 2\mathbf{x}_2 - 7)^2 + (2\mathbf{x}_1 + \mathbf{x}_2 - 5)^2}
#' subject to \eqn{\mathbf{x}_i \in [-10, 10], i = 1, 2}.
#'
#' @return
#' An object of class \code{SingleObjectiveFunction}, representing the Booth Function.
#'
#' @template ret_smoof_single
#' @export
makeBoothFunction = function() {
makeSingleObjectiveFunction(
name = "Booth Function",
id = "booth_2d",
fn = function(x) {
checkNumericInput(x, 2L)
(x[1] + 2 * x[2] - 7)^2 + (2 * x[1] + x[2] - 5)^2
},
par.set = ParamHelpers::makeNumericParamSet(
len = 2L,
id = "x",
lower = c(-10, -10),
upper = c(10, 10),
vector = TRUE
),
tags = attr(makeBoothFunction, "tags"),
global.opt.params = c(1, 3),
global.opt.value = 0
)
}
class(makeBoothFunction) = c("function", "smoof_generator")
attr(makeBoothFunction, "name") = c("Booth")
attr(makeBoothFunction, "type") = c("single-objective")
attr(makeBoothFunction, "tags") = c("single-objective", "continuous", "differentiable", "non-separable", "non-scalable", "unimodal")
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.