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#' Space-time transformation term for TSD
#'
#' Returns the values for the "time axis" of the TSD distance metric
#'
#' @param delta.t is the time difference in seconds
#' @param sVal is the value of S
#' @param type The type of space-time transformation: 'vamx' for the maximum velocity transformation, or 'dif' for diffusion
#' @param d.bar is the median step length (for the entire dataset)
#' @param tau is the median sampling interval (for the entire dataset)
#' @param vmax The maximum velocity parameter (used only when \code{type='vmax'})
tsd.zvals <- function(delta.t, sVal, type, d.bar=NULL, tau=NULL, vmax=NULL) {
if (type=="dif") {
## Diffusion
if (is.null(d.bar) || is.null(tau)) stop("d.bar and tau are required paramters")
return(d.bar * sqrt(sVal * abs(delta.t) / tau))
} else if (type=="vmax") {
if (is.null(vmax)) stop("vmax is a required parameter")
return(sVal * vmax * abs(delta.t))
} else {
stop(paste("Unknown value for type:", type))
}
}
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