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#' @title Consistent Tracer Selection (CTS) for multiple sources
#'
#' @description Identifies the most discriminant minimal tracer combinations (n-1)
#' by solving determined systems and assessing solution dispersion. Lower dispersion
#' indicates higher discriminant capacity.
#'
#' @param data Data frame containing sediment source and mixture data.
#' @param iter Number of Monte Carlo iterations for variability analysis.
#' @param seed Integer for reproducibility.
#'
#' @return A data frame with all tracer combinations, source apportionments (wi),
#' physical feasibility (0 < wi < 1), and solution dispersion (sd_wi).
#' Results are sorted by the lowest maximum dispersion.
#'
#' @references
#' Latorre, B., Lizaga, I., Gaspar, L., & Navas, A. (2021). A novel method for analysing
#' consistency and unravelling multiple solutions in sediment fingerprinting.
#'
#'
#' @export
CTS_n_sources <- function(data, iter = 1000, seed = 123456)
{
source <- inputSource(data)
mixture <- inputSample(data)
n <- nrow(source)
colnames(source) <- gsub("(?i)^mean_", "", colnames(source))
colnames(mixture) <- gsub("(?i)^mean_", "", colnames(mixture))
if(n == 2) {
seeds <- CTS_2_sources(source, mixture, iter, seed)
}
else if(n == 3) {
seeds <- CTS_3_sources(source, mixture, iter, seed)
}
else if(n == 4) {
seeds <- CTS_4_sources(source, mixture, iter, seed)
}
else if(n == 5) {
seeds <- CTS_5_sources(source, mixture, iter, seed)
}
else {
stop(paste0("The CTS method currently supports datasets with 2 to 5 sediment sources."))
}
colnames(seeds)[which(colnames(seeds) == "cons")] <- "% in sources range"
seeds$`% in sources range` <- seeds$`% in sources range` * 100.0
return(seeds)
}
# --- Compatibility Aliases ---
#' @rdname CTS_n_sources
#' @export
CTS_seeds <- CTS_n_sources
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