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#' Summary of Information-Dense Centroid
#'
#' Prints a comprehensive summary of classical and IC metrics, and optionally generates the plot.
#' @param x A numeric vector.
#' @param method Density estimation method.
#' @param alpha Power parameter for weights.
#' @param plot Logical. Whether to display the plot. Default is TRUE.
#' @param ... Additional arguments passed to density().
#' @return Prints summary to console and returns the plot invisibly.
#' @export
ic_summary <- function(x, method = c("hist", "kde"), alpha = NULL, plot = TRUE, ...) {
method <- match.arg(method)
# Calculate all metrics
comp <- ic_combined(x, method, alpha, ...)
# Print a nice summary to console
cat("\n========================================\n")
cat(" INFORMATION-DENSE CENTROID SUMMARY \n")
cat("========================================\n")
cat(sprintf("Classical Mean : %8.3f\n", mean(x)))
cat(sprintf("Classical SD : %8.3f\n", sd(x)))
cat("----------------------------------------\n")
cat(sprintf("IC Center (IDC) : %8.3f\n", comp$center))
cat(sprintf("IC Dispersion : %8.3f\n", comp$dispersion))
cat(sprintf("Sharpness (Entropy) : %8.3f\n", comp$entropy_score))
cat(sprintf("Density Score (Comb.) : %8.3f\n", comp$combined_score))
cat("========================================\n\n")
# Plot the futuristic visual if requested
if (plot) {
print(ic_plot(x, method = method, alpha = alpha, ...))
}
}
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