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#' @title percentile for estimated taper curve diameter
#' @description Internal function not usually called by users
#' @param Ht tree height
#' @param Hx Numeric vector of stem heights (m) along which to return the expected diameter.
#' @param qD vector of quantiles, passed to \code{pnorm}
#' @param Hm measured height of respective diameters \code{Dm}
#' @param Dm measured diameter
#' @param par.lme List of taper model parameters obtained by \code{\link{TapeR_FIT_LME.f}}.
#' @param Rfn list with function name to provide estimated or assumed residual
#' variances for the given measurements, optionally parameters for such functions
#' @param ... not currently used
#' @return percentile for estimated taper curve diameter at position \code{Hx}
#' given \code{Ht}, \code{Hm} and \code{Dm}
#' @author Edgar Kublin
#' @importFrom stats pnorm
CdN_DHxHt.f <- function(Ht, Hx, qD, Hm, Dm, par.lme, Rfn, ...){
# Prb N[D(Hx|N(mw(Ht),sd(Ht))<= qD| Ht/Hm,Dm]
# Percentil fuer geschaetzten Schaftkurvendurchmesser an der Stelle Hx
# gegeben Ht und (Hm,Dm) :.....
if(Ht > Hx) {
SK <- E_DHx_HmDm_HT.f( Hx, Hm, Dm, mHt = Ht, sHt = 0, par.lme, Rfn)
m_DHxHt <- as.numeric(SK$DHx)
s_DHxHt <- sqrt(as.numeric(SK$MSE_Mean))
CdN_DHxHt <- pnorm(q = qD, mean = m_DHxHt, sd = s_DHxHt, lower.tail = T, log.p = F)
} else {
CdN_DHxHt = 1
}
return(CdN_DHxHt)
}
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