#' Plotting of simultaneous credible intervals on a sphere.
#'
#' Maps with simultaneous credible intervals for all differences of smooths
#' at neighboring scales \eqn{z_{i}} are plotted. Continental lines are added.
#'
#' The default colors of the maps have the following meaning:
#' \itemize{
#' \item \strong{Blue}: Credibly positive pixels.
#' \item \strong{Red}: Credibly negative pixels.
#' \item \strong{Grey}: Pixels that are not credibly different from zero.
#' }
#' \code{x} corresponds to the \code{ciout}-part of the
#' output of \code{\link{mrbsizeRsphere}}.
#'
#' @param x List containing the simultaneous credible intervals of all
#' differences of smooths.
#' @param lon Vector containing the longitudes of the data points.
#' @param lat Vector containing the latitudes of the data points.
#' @param color Vector of length 3 containing the colors to be used in the
#' credibility maps. The first color represents the credibly negative pixels,
#' the second color the pixels that are not credibly different from zero
#' and the third color the credibly positive pixels.
#' @param turnOut Logical. Should the output images be turned 90 degrees
#' counter-clockwise?
#' @param title Vector containing one string per plot. The required
#' number of titles is equal to \code{length(mrbOut$ciout)}. If no \code{title}
#' is passed, defaults are used.
#' @param ... Further graphical parameters can be passed.
#' @return Plots of simultaneous credible intervals for all differences of
#' smooths are created.
#' @examples
#' # Artificial spherical sample data
#' set.seed(987)
#' sampleData <- matrix(stats::rnorm(2000), nrow = 200)
#' sampleData[50:65, ] <- sampleData[50:65, ] + 5
#' lon <- seq(-180, 180, length.out = 20)
#' lat <- seq(-90, 90, length.out = 10)
#'
#' # mrbsizeRsphere analysis
#' mrbOut <- mrbsizeRsphere(posteriorFile = sampleData, mm = 20, nn = 10,
#' lambdaSmoother = c(0.1, 1), prob = 0.95)
#'
#' # Posterior mean of the differences of smooths
#' plot(x = mrbOut$smMean, lon = lon, lat = lat,
#' color = fields::tim.colors())
#'
#' # Credibility analysis using simultaneous credible intervals
#' plot(x = mrbOut$ciout, lon = lon, lat = lat)
#'
plot.CImapSphere <- function(x, lon, lat, color = c("firebrick1", "gainsboro", "dodgerblue3"),
turnOut = FALSE, title, ...) {
if (length(color) != 3) {
stop("'color' must be a vector containing exactly three colors!")
}
if (length(lon) * length(lat) != dim(x[[1]])[1] * dim(x[[1]])[2]) {
stop("Longitude and latitude are non-comformable to the dimension of x")
}
if (methods::hasArg(title) == TRUE && length(title) != length(x)) {
stop("Number of titles must be equal to the number of plots")
}
graphics::par(mfrow = c(ceiling(length(x) / 2), 2))
graphics::par(mar = c(2, 2, 2, 2), oma = c(2, 2, 2, 2))
if (methods::hasArg(title) == FALSE) {
namesVec <- names(x)
namesVec <- sapply(strsplit(namesVec, "_"), "[", 1)
namesVec <- gsub("NA", "infinity", namesVec)
}
for(i in 1:length(x)){
if (methods::hasArg(title) == FALSE) {
if (i < length(x)) {
mainTxt <- as.expression(
substitute(
paste("CI-Map for ", z[y], " with ", lambda, "-range = [", x, " - ", w, "]"),
list(x = as.name(namesVec[i]), y = i, w = as.name(namesVec[i + 1]))
)
)
} else {
mainTxt <- as.expression(
substitute(
paste("CI-Map for ", z[y], " with ", lambda, "-range = [", x, "]"),
list(x = as.name(namesVec[i]), y = i)
)
)
}
} else {
mainTxt <- title[i]
}
if(turnOut) {
tmp <- turnmat(Re(x[[i]]))
lon.tmp <- lat
lat.tmp <- lon
} else {
tmp <- Re(x[[i]])
lon.tmp <- lon
lat.tmp <- lat
}
graphics::image(lon.tmp, lat.tmp, tmp, col = color, main = mainTxt,
xaxt = "n", yaxt = "n", cex.main = 1, bty = "n", ...)
maps::map("world", add = TRUE)
}
}
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