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##' Latin Hypercube sampling
##' @param pars list. length ndim - one element per parameter
##' @param nseq scalar = number of sequences
##' @return x matrix nseq x ndim. parameter-wise range [xmin, xmax]
##
## depends on rand_utils.R
LHSInit <- function(pars, nseq){
## TODO: R approach?
## lapply(pars, function(r)
## sample(seq(min(r), max(r), length = nseq))
## )
## dimensions
## xmin,xmax. vectors of length ndim
## ran. matrix nseq x ndim. range [0,1]
## idx. vector length nseq range [1,nseq]
## P. vector length nseq. range [0,1]
xmin <- sapply(pars, function(x) min(x[[1]]))
xmax <- sapply(pars, function(x) max(x[[1]]))
## Number of parameters
ndim <- length(pars)
## Initialize array ran with random numbers
ran <- rand(nseq,ndim)
## Initialize array s with zeros
s <- matrix(0,nseq,ndim)
## Fill s by iterating through parameters
for (j in 1:ndim){
## Random permutation
idx <- sample(nseq)
P <- (idx-ran[,j])/nseq
s[,j] <- xmin[j]+P*(xmax[j]-xmin[j])
} ##for pars
return(s)
} ## LHSInit
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