#' @title
#' Cube Function
#'
#' @description
#' The Cube Function is defined as follows:
#' \deqn{f(\mathbf{x}) = 100 (\mathbf{x}_2 - \mathbf{x}_1^3)^2 + (1 - \mathbf{x}_1)^2.}
#' The box-constraints are given by \eqn{\mathbf{x}_i \in [-10, 10], i = 1, 2.}
#'
#' @return
#' An object of class \code{SingleObjectiveFunction}, representing the Cube Function.
#'
#' @references A. Lavi, T. P. Vogel (eds), Recent Advances in Optimization
#' Techniques, John Wliley & Sons, 1966.
#'
#' @template ret_smoof_single
#' @export
makeCubeFunction = function() {
makeSingleObjectiveFunction(
name = "Cube Function",
id = "cube_2d",
fn = function(x) {
checkNumericInput(x, 2L)
100 * (x[2] - x[1]^3)^2 + (1 - x[1])^2
},
par.set = ParamHelpers::makeNumericParamSet(
len = 2L,
id = "x",
lower = c(-10, -10),
upper = c(10, 10),
vector = TRUE
),
tags = attr(makeCubeFunction, "tags"),
global.opt.params = c(1, 1),
global.opt.value = 0
)
}
class(makeCubeFunction) = c("function", "smoof_generator")
attr(makeCubeFunction, "name") = c("Cube")
attr(makeCubeFunction, "type") = c("single-objective")
attr(makeCubeFunction, "tags") = c("single-objective", "continuous", "differentiable", "non-separable", "non-scalable", "unimodal")
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