R/lgumbel.R

In ssdtools: Species Sensitivity Distributions

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#       https://www.apache.org/licenses/LICENSE-2.0
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#    distributed under the License is distributed on an "AS IS" BASIS,
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#' Log-Gumbel (Inverse Weibull) Probability Density
#' 
#' `r lifecycle::badge("deprecated")`
#' 
#' @param x A numeric vector of values.
#' @inheritParams params
#' @return A numeric vector.
#' @export
dlgumbel <- function(x, locationlog = 0, scalelog = 1, log = FALSE) {
  lifecycle::deprecate_soft("1.0.0", "dlgumbel()")
  ddist("gumbel", x = x,  location = locationlog, scale = scalelog, 
        log = log, .lgt = TRUE)
}

#' @describeIn ssd_p Cumulative Distribution Function for Log-Gumbel Distribution
#' @export
#' @examples
#' 
#' ssd_plgumbel(1)
ssd_plgumbel <- function(q, locationlog = 0, scalelog = 1, lower.tail = TRUE, log.p = FALSE) {
  pdist("gumbel", q = q,  location = locationlog, scale = scalelog, 
        lower.tail = lower.tail, log.p = log.p, .lgt = TRUE)
}

#' @describeIn ssd_p Cumulative Distribution Function for Log-Gumbel Distribution
#' `r lifecycle::badge("deprecated")`
#' @export
plgumbel <- function(q, locationlog = 0, scalelog = 1, lower.tail = TRUE, log.p = FALSE) {
  lifecycle::deprecate_soft("1.0.0", "plgumbel()", "ssd_plgumbel()")
  ssd_plgumbel(q, locationlog = locationlog, scalelog = scalelog,
               lower.tail = lower.tail, log.p = log.p)
}

#' @describeIn ssd_q Quantile Function for Log-Gumbel Distribution
#' @export
#' @examples
#' 
#' ssd_qlgumbel(0.5)
ssd_qlgumbel <- function(p, locationlog = 0, scalelog = 1, lower.tail = TRUE, log.p = FALSE) {
  qdist("gumbel", p = p,  location = locationlog, scale = scalelog,
        lower.tail = lower.tail, log.p = log.p, .lgt = TRUE)
}

#' @describeIn ssd_q Quantile Function for Log-Gumbel Distribution
#' `r lifecycle::badge("deprecated")`
#' @export
qlgumbel <- function(p, locationlog = 0, scalelog = 1, lower.tail = TRUE, log.p = FALSE) {
  lifecycle::deprecate_soft("1.0.0", "qlgumbel()", "ssd_qlgumbel()")
  ssd_qlgumbel(p, locationlog = locationlog, scalelog = scalelog,
               lower.tail = lower.tail, log.p = log.p)
}

#' @describeIn ssd_r Random Generation for log-Gumbel Distribution
#' @export
#' @examples
#' 
#' set.seed(50)
#' hist(ssd_rlgumbel(10000), breaks = 1000)
ssd_rlgumbel <- function(n, locationlog = 0, scalelog = 1, chk = TRUE) {
  rdist("gumbel", n = n,  location = locationlog, scale = scalelog, .lgt = TRUE, chk = chk)
}

#' @describeIn ssd_r Random Generation for log-Gumbel Distribution
#' `r lifecycle::badge("deprecated")`
#' @export
rlgumbel <- function(n, locationlog = 0, scalelog = 1) {
  lifecycle::deprecate_soft("1.0.0", "rlgumbel()", "ssd_rlgumbel()")
  ssd_rlgumbel(n, locationlog = locationlog, scalelog = scalelog)
}

slgumbel <- function(data, pars = NULL) {
  if(!is.null(pars)) return(pars)

  x <- mean_weighted_values(data)
  
  list(
    locationlog = mean(log(x), na.rm = TRUE),
    log_scalelog = log(pi * sd(log(x), na.rm = TRUE) / sqrt(6)))
}

pgumbel_ssd <- function(q, location, scale) {
  if(scale <= 0) return(NaN)
  exp(-exp(-(q - location)/scale))
}

qgumbel_ssd <- function(p, location, scale) {
  if(scale <= 0) return(NaN)
  location - scale * log(-log(p));
}