#' @title Stir an Erdos-Renyi Random Network
#'
#' @description Stirs an already existing network by rewiring a node according to the Erdos-Renyi random mechanism.
#'
#' @param matrix Existing network to experience growth.
#'
#' @param x The ID of the node to be rewired (stirred).
#'
#' @param p Probability possible edges exist. Needs to be between zero and one.
#'
#' @param directed Binary variable determining if the network is directed, resulting in off-diagonal asymmetry in the adjacency matrix.
#'
#' @param retcon Binary variable determining if already existing nodes can attach to new nodes. Defaults to FALSE.
#'
#' @details Different from Duplication & Mutation models in that edges can only be lost.
#'
#' @return An adjacency matrix.
#'
#' @references Erdos, P. and Renyi, A., On random graphs, Publicationes Mathematicae 6, 290–297 (1959).
#'
#' @examples
#' # Import netcom
#' library(netcom)
#'
#' size <- 10
#' existing_network <- matrix(sample(c(0,1), size = size^2, replace = TRUE), nrow = size, ncol = size)
#' new_network_prep <- matrix(0, nrow = size + 1, ncol = size + 1)
#' new_network_prep[1:size, 1:size] = existing_network
#' new_network <- stir_ER(matrix = new_network_prep, x = size + 1, p = 0.5)
#'
#' @export
stir_ER <- function(matrix, x, p, directed = TRUE, retcon = FALSE) {
w <- x-1
n <- ncol(matrix)
## Add zero because no self loops; diag(matrix) = 0
before <- 1 * (stats::runif(w) <= p)
after <- 1 * (stats::runif(n-x) <= p)
matrix[x, ] = c(before, 0, after)
if (!directed) {
matrix[, x] = matrix[x, ]
}
if (retcon == TRUE) {
stop("Retcon functionality missing.")
}
return(matrix)
}
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