#' @param Dmat
#'
#' @param export Fmat_from_Dmat
Fmat_from_Dmat <- function(Dmat){
n <- ncol(Dmat) + 1
Fmat <- matrix(0, n-1, n-1)
Fmat[, 1] <- Dmat[, 1]
if(n>=2) {
for(i in 2:(n-1)){
if(i == n-1) {
Fmat[n-1, n-1] <- sum(Dmat[n-1, 1:(n-1)])
break
}
Fmat[i:(n-1), i] <- apply(Dmat[i:(n-1), 1:i], 1, sum)
}
}
return(Fmat)
}
#' @param Fmat
#'
#' @param export Dmat_from_Fmat
Dmat_from_Fmat <- function(Fmat){
n <- ncol(Fmat) + 1
Dmat <- matrix(0, n-1, n-1)
Dmat[, 1] <- Fmat[, 1]
if(n>=2) for(i in 2:(n-1)){
Dmat[i:(n-1), i] <- Fmat[i:(n-1), i] - Fmat[i:(n-1), i-1]
}
return(Dmat)
}
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