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# Copyright 2021 Environment and Climate Change Canada
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# https://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
#' @describeIn ssd_p Cumulative Distribution Function for Log-Normal/Log-Normal Mixture Distribution
#' @export
#' @examples
#'
#' ssd_plnorm_lnorm(1)
ssd_plnorm_lnorm <- function(q, meanlog1 = 0, sdlog1 = 1,
meanlog2 = 1, sdlog2 = 1, pmix = 0.5,
lower.tail = TRUE, log.p = FALSE) {
pdist("lnorm_lnorm", q = q, meanlog1 = meanlog1, sdlog1 = sdlog1,
meanlog2 = meanlog2, sdlog2 = sdlog2, pmix = pmix,
lower.tail = lower.tail, log.p = log.p)
}
#' @describeIn ssd_q Cumulative Distribution Function for Log-Normal/Log-Normal Mixture Distribution
#' @export
#' @examples
#'
#' ssd_qlnorm_lnorm(0.5)
ssd_qlnorm_lnorm <- function(p, meanlog1 = 0, sdlog1 = 1,
meanlog2 = 1, sdlog2 = 1, pmix = 0.5,
lower.tail = TRUE, log.p = FALSE) {
qdist("lnorm_lnorm", p = p, meanlog1 = meanlog1, sdlog1 = sdlog1,
meanlog2 = meanlog2, sdlog2 = sdlog2, pmix = pmix,
lower.tail = lower.tail, log.p = log.p)
}
#' @describeIn ssd_r Random Generation for Log-Normal/Log-Normal Mixture Distribution
#' @export
#' @examples
#'
#' set.seed(50)
#' hist(ssd_rlnorm_lnorm(10000), breaks = 1000)
ssd_rlnorm_lnorm <- function(n, meanlog1 = 0, sdlog1 = 1,
meanlog2 = 1, sdlog2 = 1, pmix = 0.5, chk = TRUE) {
rdist("lnorm_lnorm", n = n, meanlog1 = meanlog1, sdlog1 = sdlog1,
meanlog2 = meanlog2, sdlog2 = sdlog2, pmix = pmix, chk = chk)
}
slnorm_lnorm <- function(data, pars = NULL) {
if(!is.null(pars)) return(pars)
x <- mean_weighted_values(data)
x <- sort(x)
n <- length(x)
n2 <- floor(n / 2)
x1 <- x[1:n2]
x2 <- x[(n2+1):n]
s1 <- slnorm(data.frame(left = x1, right = x1, weight = 1))
s2 <- slnorm(data.frame(left = x2, right = x2, weight = 1))
names(s1) <- paste0(names(s1), "1")
names(s2) <- paste0(names(s2), "2")
logit_pmix <- list(logit_pmix = 0)
c(s1, s2, logit_pmix)
}
blnorm_lnorm <- function(x, min_pmix, ...) {
list(lower = list(meanlog1 = -Inf, log_sdlog1 = -Inf, meanlog2 = -Inf, log_sdlog2 = -Inf, logit_pmix = qlogis(min_pmix)),
upper = list(meanlog1 = Inf, log_sdlog1 = Inf, meanlog2 = Inf, log_sdlog2 = Inf, logit_pmix = qlogis(1-min_pmix)))
}
plnorm_lnorm_ssd <- function(q, meanlog1, sdlog1, meanlog2, sdlog2, pmix) {
if(sdlog1 <= 0 || sdlog2 <= 0 || pmix <= 0 || pmix >= 1) {
return(NaN)
}
pmix * plnorm_ssd(q, meanlog1, sdlog1) + (1 - pmix) * plnorm_ssd(q, meanlog2, sdlog2)
}
qlnorm_lnorm_ssd <- function(p, meanlog1, sdlog1, meanlog2, sdlog2, pmix) {
if(sdlog1 <= 0 || sdlog2 <= 0 || pmix <= 0 || pmix >= 1) {
return(NaN)
}
f <- function(x) {
plnorm_lnorm_ssd(x, meanlog1, sdlog1, meanlog2, sdlog2, pmix) - p
}
stats::uniroot(f, lower = 0, upper = 10, extendInt = "upX", tol=.Machine$double.eps)$root
}
rlnorm_lnorm_ssd <- function(n, meanlog1, sdlog1, meanlog2, sdlog2, pmix) {
if(sdlog1 <= 0 || sdlog2 <= 0 || pmix <= 0 || pmix >= 1) {
return(rep(NaN, n))
}
dist <- stats::rbinom(n, 1, pmix)
dist <- as.logical(dist)
x <- rep(NA_real_, n)
x[dist] <- rlnorm_ssd(sum(dist), meanlog = meanlog1, sdlog = sdlog1)
x[!dist] <- rlnorm_ssd(sum(!dist), meanlog = meanlog2, sdlog = sdlog2)
x
}
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