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#' Get counterfactual densities
#'
#' @description `get_cf_dens` takes the target (expected) number, baseline density,
#' and power density, and generates a hyperframe with counterfactual densities.
#'
#' @param expected_number the expected number of observations.
#' @param base_dens baseline density (im object)
#' @param power_dens power density (im object)
#' @param window owin object
#'
#' @returns an im object of a counterfactual density
#'
#' @details There are two ways of generating counterfactual densities.
#' First, users can keep the locations of observations as they are and change the expected number of observations.
#' In this case, users do not have to set `power_dens` and simply modify `expected_number`.
#' Alternatively, users can shift the locations as well. In this case, `power_dens` must be specified.
#' To obtain power densities, refer to [get_power_dens()].
get_cf_dens <- function(expected_number,
base_dens,
power_dens = NA,
window) {
if (inherits(power_dens, "logical")) { # identify NA; counterfactual_type = intensity only -> multiply by the expectation
cf_density <- expected_number * base_dens
} else { # counterfactual_type = location as well
product_power_baseline <- base_dens * power_dens
cf_density <- product_power_baseline/
integral(product_power_baseline, W = window) * expected_number
}
return(cf_density)
}
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