##' Get an arbitrary string for tree calculations
##'
##' This can be used to generate a string corresponding to calculating
##' the mean tree output for a given quantity over the tree.
##' The tree is specified as the input \code{node}, which must be a
##' \code{data.tree} object containing probability variables as \code{p}.
##' The quantity to be averaged over must be a node attribute \code{qnt},
##' which defaults as \code{cost}.
##'
##' @template args-node
##' @param qnt Quantity
##' @return \code{string} to be evaluated in calculations
##' @author Pete Dodd
##' @export
getAQ <- function(node,qnt='cost') {
ss <- node[[qnt]]
if(!node$isRoot & is.null(node$p))
stop(paste0('Probability not found for node:', node$name,'!'))
if(is.null(ss)) ss <- '0'
if( node$leafCount > 0 ){
for( kid in node$children ){
ss <- paste0(ss,'+(',kid$p,')*(',getAQ(kid,qnt=qnt),')')
}
}
ss
}
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