#' Equal-Tailed Interval (ETI)
#'
#' Compute the **Equal-Tailed Interval (ETI)** of posterior distributions using the quantiles method. The probability of being below this interval is equal to the probability of being above it. The ETI can be used in the context of uncertainty characterisation of posterior distributions as **Credible Interval (CI)**.
#'
#' @inheritParams hdi
#' @inherit ci return
#' @inherit hdi details
#' @inherit hdi seealso
#' @family ci
#'
#' @examples
#' library(bayestestR)
#'
#' posterior <- rnorm(1000)
#' eti(posterior)
#' eti(posterior, ci = c(.80, .89, .95))
#'
#' df <- data.frame(replicate(4, rnorm(100)))
#' eti(df)
#' eti(df, ci = c(.80, .89, .95))
#' \dontrun{
#' library(rstanarm)
#' model <- stan_glm(mpg ~ wt + gear, data = mtcars, chains = 2, iter = 200, refresh = 0)
#' eti(model)
#' eti(model, ci = c(.80, .89, .95))
#'
#' library(emmeans)
#' eti(emtrends(model, ~1, "wt"))
#'
#' library(brms)
#' model <- brms::brm(mpg ~ wt + cyl, data = mtcars)
#' eti(model)
#' eti(model, ci = c(.80, .89, .95))
#'
#' library(BayesFactor)
#' bf <- ttestBF(x = rnorm(100, 1, 1))
#' eti(bf)
#' eti(bf, ci = c(.80, .89, .95))
#' }
#'
#' @export
eti <- function(x, ...) {
  UseMethod("eti")
}



#' @rdname eti
#' @export
eti.numeric <- function(x, ci = 0.95, verbose = TRUE, ...) {
  out <- do.call(rbind, lapply(ci, function(i) {
    .eti(x = x, ci = i, verbose = verbose)
  }))
  class(out) <- unique(c("bayestestR_eti", "see_eti", "bayestestR_ci", "see_ci", class(out)))
  attr(out, "data") <- x
  out
}



#' @rdname eti
#' @export
eti.data.frame <- function(x, ci = 0.95, verbose = TRUE, ...) {
  dat <- .compute_interval_dataframe(x = x, ci = ci, verbose = verbose, fun = "eti")
  attr(dat, "object_name") <- .safe_deparse(substitute(x))
  dat
}



#' @rdname eti
#' @export
eti.MCMCglmm <- function(x, ci = 0.95, verbose = TRUE, ...) {
  nF <- x$Fixed$nfl
  d <- as.data.frame(x$Sol[, 1:nF, drop = FALSE])
  dat <- .compute_interval_dataframe(x = d, ci = ci, verbose = verbose, fun = "eti")
  attr(dat, "data") <- .safe_deparse(substitute(x))
  dat
}



#' @export
eti.mcmc <- function(x, ci = 0.95, verbose = TRUE, ...) {
  d <- as.data.frame(x)
  dat <- .compute_interval_dataframe(x = d, ci = ci, verbose = verbose, fun = "eti")
  attr(dat, "data") <- .safe_deparse(substitute(x))
  dat
}



#' @export
eti.bamlss <- function(x, ci = 0.95, component = c("all", "conditional", "location"), verbose = TRUE, ...) {
  component <- match.arg(component)
  d <- insight::get_parameters(x, component = component)
  dat <- .compute_interval_dataframe(x = d, ci = ci, verbose = verbose, fun = "eti")
  attr(dat, "data") <- .safe_deparse(substitute(x))
  dat
}



#' @export
eti.bcplm <- function(x, ci = 0.95, verbose = TRUE, ...) {
  d <- insight::get_parameters(x)
  dat <- .compute_interval_dataframe(x = d, ci = ci, verbose = verbose, fun = "eti")
  attr(dat, "data") <- .safe_deparse(substitute(x))
  dat
}


#' @export
eti.bayesQR <- eti.bcplm

#' @export
eti.blrm <- eti.bcplm

#' @export
eti.mcmc.list <- eti.bcplm

#' @export
eti.BGGM <- eti.bcplm



#' @rdname eti
#' @export
eti.sim.merMod <- function(x, ci = 0.95, effects = c("fixed", "random", "all"), parameters = NULL, verbose = TRUE, ...) {
  effects <- match.arg(effects)
  dat <- .compute_interval_simMerMod(x = x, ci = ci, effects = effects, parameters = parameters, verbose = verbose, fun = "eti")
  out <- dat$result
  attr(out, "data") <- dat$data
  out
}



#' @rdname eti
#' @export
eti.sim <- function(x, ci = 0.95, parameters = NULL, verbose = TRUE, ...) {
  dat <- .compute_interval_sim(x = x, ci = ci, parameters = parameters, verbose = verbose, fun = "eti")
  out <- dat$result
  attr(out, "data") <- dat$data
  out
}



#' @rdname eti
#' @export
eti.emmGrid <- function(x, ci = 0.95, verbose = TRUE, ...) {
  xdf <- insight::get_parameters(x)

  dat <- eti(xdf, ci = ci, verbose = verbose, ...)
  attr(dat, "object_name") <- .safe_deparse(substitute(x))
  dat
}

#' @export
eti.emm_list <- eti.emmGrid

#' @rdname eti
#' @export
eti.stanreg <- function(x, ci = 0.95, effects = c("fixed", "random", "all"),
                        component = c("location", "all", "conditional", "smooth_terms", "sigma", "distributional", "auxiliary"),
                        parameters = NULL, verbose = TRUE, ...) {
  effects <- match.arg(effects)
  component <- match.arg(component)

  out <- .prepare_output(
    eti(insight::get_parameters(x, effects = effects, component = component, parameters = parameters), ci = ci, verbose = verbose, ...),
    insight::clean_parameters(x),
    inherits(x, "stanmvreg")
  )

  class(out) <- unique(c("bayestestR_eti", "see_eti", class(out)))
  attr(out, "object_name") <- .safe_deparse(substitute(x))
  out
}


#' @export
eti.stanfit <- eti.stanreg

#' @export
eti.blavaan <- eti.stanreg



#' @rdname eti
#' @export
eti.brmsfit <- function(x, ci = 0.95, effects = c("fixed", "random", "all"),
                        component = c("conditional", "zi", "zero_inflated", "all"),
                        parameters = NULL, verbose = TRUE, ...) {
  effects <- match.arg(effects)
  component <- match.arg(component)

  out <- .prepare_output(
    eti(insight::get_parameters(x, effects = effects, component = component, parameters = parameters), ci = ci, verbose = verbose, ...),
    insight::clean_parameters(x)
  )

  class(out) <- unique(c("bayestestR_eti", "see_eti", class(out)))
  attr(out, "object_name") <- .safe_deparse(substitute(x))
  out
}



#' @rdname eti
#' @export
eti.BFBayesFactor <- function(x, ci = 0.95, verbose = TRUE, ...) {
  out <- eti(insight::get_parameters(x), ci = ci, verbose = verbose, ...)
  attr(out, "object_name") <- .safe_deparse(substitute(x))
  out
}


#' @export
eti.get_predicted <- function(x, ...) {
  if ("iterations" %in% names(attributes(x))) {
    out <- hdi(as.data.frame(t(attributes(x)$iterations)), ...)
  } else {
    stop("No iterations present in the output.")
  }
  attr(out, "object_name") <- .safe_deparse(substitute(x))
  out
}

# Helper ------------------------------------------------------------------


.eti <- function(x, ci, verbose = TRUE) {
  check_ci <- .check_ci_argument(x, ci, verbose)

  if (!is.null(check_ci)) {
    return(check_ci)
  }

  results <- as.vector(stats::quantile(
    x,
    probs = c((1 - ci) / 2, (1 + ci) / 2),
    names = FALSE
  ))

  data.frame(
    "CI" = ci,
    "CI_low" = results[1],
    "CI_high" = results[2]
  )
}