#' @title
#' Bartels Conn Function
#'
#' @description
#' The Bartels Conn Function is defined as
#' \deqn{f(\mathbf{x}) = |\mathbf{x}_1^2 + \mathbf{x}_2^2 + \mathbf{x}_1\mathbf{x}_2| + |\sin(\mathbf{x}_1)| + |\cos(\mathbf{x})|}
#' subject to \eqn{\mathbf{x}_i \in [-500, 500]} for \eqn{i = 1, 2}.
#'
#' @return
#' An object of class \code{SingleObjectiveFunction}, representing the Bartels Conn Function.
#'
#' @template ret_smoof_single
#' @export
makeBartelsConnFunction = function() {
makeSingleObjectiveFunction(
name = "Bartels Conn Function",
id = "bartelsConn_2d",
fn = function(x) {
checkNumericInput(x, 2L)
abs(x[1]^2 + x[2]^2 + x[1] * x[2]) + abs(sin(x[1])) + abs(cos(x[2]))
},
par.set = ParamHelpers::makeNumericParamSet(
len = 2L,
id = "x",
lower = c(-500, -500),
upper = c(500, 500),
vector = TRUE
),
tags = attr(makeBartelsConnFunction, "tags"),
global.opt.params = c(0, 0),
global.opt.value = 1
)
}
class(makeBartelsConnFunction) = c("function", "smoof_generator")
attr(makeBartelsConnFunction, "name") = c("Bartels Conn")
attr(makeBartelsConnFunction, "type") = c("single-objective")
attr(makeBartelsConnFunction, "tags") = c("single-objective", "continuous", "non-differentiable", "non-separable", "non-scalable", "multimodal")
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