Nothing
faureprimeDesign <- function(dimension, u = 2, range = c(0, -1)){
if (!is.null(range)) {
stopifnot(!any(c(NA, NaN, -Inf, Inf) %in% range))
stopifnot(length(range) == 2L)
}
stopifnot(u >= 2)
stopifnot(dimension >= 3)
stopifnot(dimension <= 199)
u <- floor(u)
dimension <- floor(dimension)
primesupto199 <- c(2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,
71,73,79,83,89,97,101,103,107,109,113,127,131,137,
139,149,151,157,163,167,173,179,181,191,193,197,199)
prime <- primesupto199[primesupto199 >= dimension][1]
stopifnot(prime^(u+1) <= 200^3)
pu <- prime^u
n <- pu-1
design <- pu*runif.faure(n, dimension)$design
if (!is.null(range)) {
range <- as.numeric(range)
if (identical(range, c(0,0)) | identical(range, c(0,1)) |
identical(range, c(0,-1)) | identical(range, c(1,1)) |
identical(range, c(-1,-1)) | identical(range, c(-1,1))) {
# c(0, 0) (0, n) already defined
# c(1,1) (1-n, n-1) = (2-p^u, p^u -2)
# c(0,1) (0, 1)
# c(0,-1) (p^-u, 1-p^-u)
# c(-1,-1) (-1+2p^(-u) , 1-2p^(-u))
# c(-1, 1) (-1, 1)
if (identical(range, c(1,1))) design <- 2*design -n-1
if (identical(range, c(0,1))) design <- (-1 +design)/(n-1)
if (identical(range, c(0,-1))) design <- design/(n+1)
if (identical(range, c(-1,-1))) design <- (2*design -n-1)/(n+1)
if (identical(range, c(-1,1))) design <- (2*design -n-1)/(n-1)
} else {
stopifnot(range[2] > range[1])
design <- (-1 +design)/(n-1)*diff(range) +range[1]
}
}
list(design = design, n = (prime^u)-1, dimension = dimension,
prime = prime, u = u)
}
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