#' @title
#' Holder Table function N. 1
#'
#' @description
#' This multi-modal function is defined as
#' \deqn{f(\mathbf{x}) = -\left|\cos(\mathbf{x}_1)\cos(\mathbf{x}_2)\exp(|1 - \sqrt{\mathbf{x}_1 + \mathbf{x}_2}/\pi|)\right|}
#' with box-constraints \eqn{\mathbf{x}_i \in [-10, 10], i = 1, 2}.
#'
#' @return
#' An object of class \code{SingleObjectiveFunction}, representing the Holder Table function N. 1 Function.
#'
#' @references S. K. Mishra, Global Optimization By Differential Evolution and
#' Particle Swarm Methods: Evaluation On Some Benchmark Functions, Munich
#' Research Papers in Economics.
#'
#' @seealso \code{\link{makeHolderTableN2Function}}
#'
#' @template ret_smoof_single
#' @export
makeHolderTableN1Function = function() {
makeSingleObjectiveFunction(
name = "Holder Table Function N. 1",
id = "holderTable01_2d",
fn = function(x) {
checkNumericInput(x, 2L)
-abs(cos(x[1]) * cos(x[2]) * exp(abs(1 - sqrt(x[1]^2 + x[2]^2) / 3.1415)))
},
par.set = ParamHelpers::makeNumericParamSet(
len = 2L,
id = "x",
lower = c(-10, -10),
upper = c(10, 10),
vector = TRUE
),
tags = attr(makeHolderTableN1Function, "tags"),
global.opt.params = matrix(
c(9.646168, 9.646168,
-9.646168, 9.646168,
9.646168, -9.646168,
-9.646168, -9.646168),
ncol = 2L, byrow = TRUE),
global.opt.value = -26.920336
)
}
class(makeHolderTableN1Function) = c("function", "smoof_generator")
attr(makeHolderTableN1Function, "name") = c("Holder Table N. 1")
attr(makeHolderTableN1Function, "type") = c("single-objective")
attr(makeHolderTableN1Function, "tags") = c("single-objective", "continuous", "differentiable", "separable", "non-scalable", "multimodal")
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.