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#' Construct support regions
#'
#' @param x A list of prototype vectors defining the distribution type.
#' @param limits A list of value limits for the distribution.
#' @param closed A list of logical(2L) indicating whether the limits are closed.
#'
new_support_region <- function(x = numeric(), limits = list(), closed = list()) {
vctrs::new_rcrd(list(x = x, lim = limits, closed = closed), class = "support_region")
}
#' @export
format.support_region <- function(x, digits = 3, ...) {
type <- vapply(field(x, "x"), function(z) {
if(is.integer(z)) "Z"
else if(is.numeric(z)) "R"
else if(is.complex(z)) "C"
else vec_ptype_abbr(z)
}, FUN.VALUE = character(1L))
dim_k <- vapply(field(x, "x"), function(z) {
if(is.matrix(z)) ncol(z) else 1L
}, FUN.VALUE = integer(1L))
brackets <- list(c("(","["), c(")","]"))
mapply(function(type, k, z, closed) {
br1 <- brackets[[1]][closed[1] + 1L]
br2 <- brackets[[2]][closed[2] + 1L]
fz <- sapply(z, function(x) format(x, digits = digits))
fz <- gsub("3.14", "pi", fz, fixed = TRUE)
suffix <- if(k > 1L) paste0("^", k) else ""
if (any(is.na(z)) || all(is.infinite(z))) paste0(type, suffix)
else if (type == "Z") {
if (identical(z, c(0L, Inf))) "N0"
else if (identical(z, c(1L, Inf))) "N+"
else paste0("{", z[1], ",", z[1]+1L, ",...,", z[2], "}")
}
else if (type == "R") paste0(br1, fz[1], ",", fz[2], br2, suffix)
else paste0(type, suffix)
}, type, dim_k, field(x, "lim"), field(x, "closed"), USE.NAMES = FALSE)
}
#' @export
vec_ptype_abbr.support_region <- function(x, ...){
"support"
}
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