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#' Three dim borehole example
#'
#' A three dimensional Borehole function used in illustrations.
#'
#' @param x a n by 3 vector of inputs
#' @return a length n vector of outputs
#' @export
obtest_borehole3d <- function(x) {
rw <- x[, 1] * (0.15 - 0.05) + 0.05
Hl <- x[, 2] * (820 - 700) + 700
L <- x[, 3] * (1680 - 1120) + 1120
r <- 0.5 * (50000 - 100) + 100
Tu <- 0.5 * (115600 - 63070) + 63070
Hu <- 0.5 * (1110 - 990) + 990
Tl <- 0.5 * (116 - 63.1) + 63.1
Kw <- 0.5 * (12045 - 9855) + 9855
m1 <- 2 * pi * Tu * (Hu - Hl)
m2 <- log(r / rw)
m3 <- 1 + 2 * L * Tu / (m2 * rw ^ 2 * Kw) + Tu / Tl
return(m1 / m2 / m3 - 77) #approximately centering
}
#' Eight dim borehole example
#'
#' An eight dimensional Borehole function used in illustrations.
#'
#' @param x a n by 8 vector of inputs
#' @return a length n vector of outputs
#' @export
obtest_borehole8d <- function(x) {
rw <- x[, 1] * (0.15 - 0.05) + 0.05
r <- x[, 2] * (50000 - 100) + 100
Tu <- x[, 3] * (115600 - 63070) + 63070
Hu <- x[, 4] * (1110 - 990) + 990
Tl <- x[, 5] * (116 - 63.1) + 63.1
Hl <- x[, 6] * (820 - 700) + 700
L <- x[, 7] * (1680 - 1120) + 1120
Kw <- x[, 8] * (12045 - 9855) + 9855
m1 <- 2 * pi * Tu * (Hu - Hl)
m2 <- log(r / rw)
m3 <- 1 + 2 * L * Tu / (m2 * rw ^ 2 * Kw) + Tu / Tl
return((m1 / m2 / m3-77))
}
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