#' calculate a scaling factor to multiply the PDF by (so that it actually integrates to 1)
#' @param QSarray qusage object
#' @param addVIF vif value
#' @export
#' @return pdf plot
pdfScaleFactor = function(QSarray, addVIF=!is.null(QSarray$vif)){
if(is.null(QSarray$vif) && addVIF){stop("vif is undefined for QSarray object. addVIF can not be set to true.")}
sif = sapply(1:numPathways(QSarray),function(i){ifelse(addVIF,sqrt(QSarray$vif[i]),1)})
sif[is.na(sif)] = 1
pdfSum = colSums(QSarray$path.PDF)
##get the pdf range
ranges = QSarray$ranges * 2
##the scale factor is essentially the distance between points in the x coordinates times the (current) sum of the pdf
scaleFactor = (ranges*sif) / (QSarray$n.points-1) * pdfSum
scaleFactor
}
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