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###############################################################################
# Function: rho (not exported)
# Programmers: Tony Olsen
# Date: September 9, 2020
#'
#' Place the sites selected by the UPpivotal method in reverse hierarchical order
#'
#' @param sites Sample object with sites selected by GRTS algorithm
#'
#' @return sites Sample object returned in reverse hierarchical order
#'
#' @author Tony Olsen \email{olsen.tony@@epa.gov}
#'
#' @keywords survey
#'
#'
#' @noRd
###############################################################################
rho <- function(sites) {
# Construct sample hierarchical address
np <- nrow(sites)
nlev <- max(1, trunc(logb(np, 4)))
ifelse(np == 4^nlev, nlev, nlev <- nlev + 1)
ad <- matrix(0, 4^nlev, nlev)
rv4 <- 0:3
pwr4 <- 4.^(0.:(nlev - 1.))
for (i in 1:nlev) {
ad[, i] <- rep(rep(rv4, rep(pwr4[i], 4.)), pwr4[nlev] / pwr4[i])
}
rho4 <- as.vector(ad %*% matrix(rev(pwr4), nlev, 1))
# Place sample in reverse hierarchical order
sites <- sites[unique(floor(rho4 * np / 4^nlev)) + 1., ]
}
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