#' @noRd
properties <- function(w, lambda){
idx <- w <= 0.5
idxhalf <- which.min(idx)
lower <- pmax(w, 1 - w)
viol <- which(lambda < lower)
if(!identical(viol, integer(0))){
idxl <- viol[1]
idxu <- viol[length(viol)]
if(idxl < idxhalf){
ind_wl <- max(which((lambda < lower)[1:(idxhalf-1)]))
lambda[1:ind_wl] <- lower[1:ind_wl]
}
if(idxu >= idxhalf){
ind_wu <- min(which((lambda < lower)[idxhalf:length(w)])) + idxhalf - 1
lambda[ind_wu:length(w)] <- lower[ind_wu:length(w)]
}
}
for(i in length(w[w < 0.5]):1){
if((w / lambda)[i + 1] < (w / lambda)[i]){
lambda[i] <- w[i] * (lambda / w)[i + 1]
}
if(((1 - w) / lambda)[i + 1] > ((1 - w) / lambda)[i]){
lambda[i] <- (1 - w)[i] * (lambda / (1 - w))[i + 1]
}
}
for(i in length(w[w > 0.5]):length(w)){
if((w / lambda)[i] < (w / lambda)[i - 1]){
lambda[i] <- w[i] * (lambda / w)[i - 1]
}
if(((1 - w) / lambda)[i] > ((1 - w) / lambda)[i - 1]){
lambda[i] <- (1 - w)[i] * (lambda / (1 - w))[i - 1]
}
}
return(lambda)
}
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