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# 3Rosen.R JN 220409
# To show three variants of an extended Rosenbrock function
fnR <- function (x)
{ # adagio fnRosenbrock
n <- length(x)
x1 <- x[2:n]
x2 <- x[1:(n - 1)]
sum(100 * (x1 - x2^2)^2 + (1 - x2)^2)
}
genrose.f<- function(x, gs=NULL){ # From Nash/Walker-Smith 1987
## One generalization of the Rosenbrock banana valley function (n parameters)
n <- length(x)
if(is.null(gs)) { gs=100.0 }
fval<-1.0 + sum (gs*(x[1:(n-1)]^2 - x[2:n])^2 + (x[2:n] - 1)^2)
return(fval)
}
fnexr = function(par) { # funconstrain::ex_rosen
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
}
xx<-rep(1.1,6)
cat(" fnR fnexr(xx) genrose.f\n")
for (i in 1:6) {
xx[i] <- .2
cat(fnR(xx)," ",fnexr(xx)," ",genrose.f(xx)," at: ")
print(xx)
xx[i]<- 1.1
}
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