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#' Adjacent cells
#'
#' Identify pairs of cells that are adjacent.
#'
#' @aliases adjacencyFromTransition
#' @param x TransitionLayer
#' @return A two column matrix with each row containing
#' a pair of adjacent cells.
#' @details
#' Extracts the indices of those cells that are connected
#' (e.g. cells i,j that have a non-zero value in the transition
#' matrix).
#'
#' Cell numbers are unique indices of cells in the original grid.
#' By convention, cell numbers start with 1 in the upper-left
#' corner of the grid and increase from left to right and from top
#' to bottom.
#'
#' @author Jacob van Etten
#'
#' @seealso \code{\link[raster]{adjacent}}
#' @examples
#' library("raster")
#' r <- raster(nrows = 6, ncols = 7,
#' xmn = 0, xmx = 7,
#' ymn = 0, ymx = 6,
#' crs = "+proj=utm +units=m")
#' r[] <- runif(6 * 7)
#' tr <- transition(r, function(x) 1 / mean(x), 8)
#'
#' aft <- adjacencyFromTransition(tr)
#'
#' head(aft)
#'
#' @export
adjacencyFromTransition <- function(x) {
tc <- transitionCells(x)
x <- transitionMatrix(x)
transition.dgT <- as(as(x, "generalMatrix"), "TsparseMatrix")
adj <- cbind(transition.dgT@i + 1, transition.dgT@j + 1)
adj <- cbind(tc[adj[, 1]], tc[adj[, 2]])
return(adj)
}
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