```
#' Generate L/U sample
#'
#' @param X Population covariates
#' @param y Population response
#' @param nl number of labelled subjects
#' @param nu number of unlabelled subjects
#' @param replace if TRUE, sample with replacement
#' @export
GenLUSample = function(X,y,nl,nu,replace = FALSE){
# N = nrow(X) >2*(nl+nu)
repl = replace
z = rep(0,nrow(X))
# Randomly divide the data into half
N0 = round(nrow(X)/2)
X1ind = sample(1:N0,N0)
ind1 = rep(0,nrow(X))
ind1[X1ind] = 1
# sample labelled data,
posind =which(y==1&ind1==1) # where subject is positive and in the first half data set
sampl = sample(x = posind,size = nl,replace = repl)
X_l = X[sampl,]
y_l = y[sampl]
z[sampl] = 1
# sample unlabelled data, among unlabelled ones
sampunl = sample(which(z!=1&ind1==0),size=nu,replace = repl)
X_u = X[sampunl,]
y_u = y[sampunl]
# Negative samples in unlabelled dataset
sampn = sampunl[which(y_u==0)]
X_n = X[sampn,]
y_n = y[sampn]
return(list(X=X,y=y,z=z,X_l=X_l,X_u=X_u,X_n = X_n, y_u=y_u,sampunl=sampunl,sampl=sampl,sampn = sampn))
}
```

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