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# Extended Rosenbrock Function ex_rosen.R from
# https://github.com/jlmelville/funconstrain by jlmelville
# Test function 21 from the More', Garbow and Hillstrom paper.
#
# The objective function is the sum of \code{m} functions, each of \code{n}
# parameters.
#
xrosn.f = function(par) {
n <- length(par)
if (n %% 2 != 0) {
stop("Extended Rosenbrock: n must be even")
}
fsum <- 0
for (i in 1:(n / 2)) {
p2 <- 2 * i
p1 <- p2 - 1
f_p1 <- 10 * (par[p2] - par[p1] ^ 2)
f_p2 <- 1 - par[p1]
fsum <- fsum + f_p1 * f_p1 + f_p2 * f_p2
}
fsum
}
xrosn.g = function(par) {
n <- length(par)
if (n %% 2 != 0) {
stop("Extended Rosenbrock: n must be even")
}
grad <- rep(0, n)
for (i in 1:(n / 2)) {
p2 <- 2 * i
p1 <- p2 - 1
xx <- par[p1] * par[p1]
yx <- par[p2] - xx
f_p1 <- 10 * yx
f_p2 <- 1 - par[p1]
grad[p1] <- grad[p1] - 400 * par[p1] * yx - 2 * f_p2
grad[p2] <- grad[p2] + 200 * yx
}
grad
}
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