#' @title Calculates recursion information from the trajectory
#'
#' @description A circle of radius R is drawn around each point in the trajectory. The number of
#' revisits is calculated as the number of segments of the trajectory passing through that circle.
#'
#' @details For each point in the trajectory, a circle of radius R is drawn around that point.
#' Then the number of segments of the trajectory passing through that circle is counted. This is
#' the number of revisits, so each point will have at least one revisit (the initial visit). For each
#' revisit, the time spent inside the circle is calculated, as well as the time since the last
#' visit (NA for the first visit). In order to calculate the time values, the crossing time of the
#' radius is calculated by assuming linear movement at a constant speed between the points inside
#' and outside the circle.
#'
#' \strong{Projection.} Consider the projection used. Since segments are counted passing through circles
#' drawn around points, an equal area projection would ensure similar size comparisons (e.g., \code{\link[move]{spTransform}}).
#'
#' Either single or multiple individuals are supported, but be aware that this function will be slow with
#' large amounts of data (e.g. millions of points), so consider pre-specifying the locations
#' (\code{\link{getRecursionsAtLocations}}) or use clustering. Multiple individuals are handled via the \code{id} column of the
#' data.frame or using a move2 or \link[move]{MoveStack} object.
#'
#' @param x Either a data frame, move2, \link[move]{Move-class}, or \link[move]{MoveStack} object. For a data frame,
#' the trajectory data with four columns (the x-coordinate, the y-coordinate, the datetime, and the animal id).
#' @param radius numeric radius to use in units of the (x,y) location data to detect recursions.
#' @param threshold a time difference (in units \code{timeunits}) to ignore excursions outside the radius. Defaults to 0.
#' @param timeunits character string specifying units to calculate time differences in for the time spans inside the radius and since the
#' visit in \code{revisitStats}. Defaults to hours.
#' @param verbose \code{TRUE} to output complete information (can be large for large input data frames) or
#' \code{FALSE} to output basic information.
#'
#' @return A list with several components, \code{revisits} and \code{residenceTime}
#' are vectors of the same length as the \code{x} dataframe. \code{revisits} is the number of revisits for each
#' location, where 1 means that there were
#' no revisits, only the initial visit. \code{residenceTime} is the total time spent withing the radius. \code{radius}
#' is the specified radius used for all the calculations. \code{timeunits} is the specified time units used to specify
#' timespans.
#'
#' When \code{verbose = TRUE}, additional information
#' is also returned, \code{dists} and \code{revisitStats}. Next, \code{dists} gives the distance matrix between
#' all locations. Finally, \code{revisitStats} gives further statistics on each visit. These are calculated
#' per location (i.e., no aggregation of nearby points is performed), and give the index and location
#' of the point of the track at the center of the radius, the radius entrance and exit time of the track for that
#' visit, how much time was spent inside the radius, and how long since the last visit (\code{NA} for the first visit).
#'
#' @author Chloe Bracis <cbracis@uw.edu>
#' @seealso \code{\link{getRecursionsAtLocations}}
#'
#' @examples
#' data(martin)
#' revisits = getRecursions(martin, radius = 1)
#' plot(revisits, martin, legendPos = c(10, -15))
#' drawCircle(10, -10, 1)
#'
#' @export
#' @name getRecursions
#'
getRecursions <- function(x, radius, threshold = 0, timeunits = c("hours", "secs", "mins", "days"), verbose = TRUE)
{
UseMethod('getRecursions', x)
}
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