dls <- function(x, N, alpha, log = FALSE){
N[ !is.finite(N) | N <= 0] <- NaN
alpha[ !is.finite(alpha) | alpha <= 0] <- NaN
X <- N/(N+alpha)
gama <- function(y) {1/log(1/(1-y))}
y <- gama(X)*(X^x)/x
if (any(is.nan(y))) warning ("NaNs produced")
if (any(!is.wholenumber(x))) warning("non integer values in x")
y[ ! is.wholenumber(x) | x < 1] <- 0
if(log) return (log(y))
else return(y)
}
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