csir <- function(alpha_pr, alpha_wt, u){
N <- length(alpha_pr)
alpha_up <- rep(0, N)
alpha_wt <- alpha_wt/sum(alpha_wt)
sorted <- sort(alpha_pr, index.return = T)
alpha_pr <- sorted$x
alpha_wt <- alpha_wt[sorted$ix]
alpha_cwt <- c(0 , cumsum(alpha_wt))
alpha_pr <- c(alpha_pr[1] , alpha_pr)
j <- 1
for (i in 1:N){
while (alpha_cwt[i] < u[j] & u[j] <= alpha_cwt[i+1]){
alpha_up[j] <- alpha_pr[i] + ( (alpha_pr[i+1] - alpha_pr[i])/(alpha_cwt[i+1] - alpha_cwt[i]) ) * (u[j] - alpha_cwt[i])
if (j < N){
j <- j + 1
}
else {break}
}
}
return(alpha_up)
}
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