#' @title Calculate log marginal likelihood
#' @description Calculates fuzzy (log) marginal likelihood for a population of
#' real values using estimate "fii" for the dispersion value, and Jeffreys prior
#' for the mean parameter.
#' @param points points
#' @param fii fii
calculatePopLogml <- function(points, fii) {
  n <- length(points)
  fuzzy_ones <- sum(points)
  fuzzy_zeros <- n - fuzzy_ones
  val <- log_gamma(1) -
    log_gamma(1 + n / fii) +
    log_gamma(0.5 + fuzzy_ones / fii) +
    log_gamma(0.5 + fuzzy_zeros / fii) -
    log_gamma(0.5) -
    log_gamma(0.5)
  return(val)
}