qnorm_mix <- function(p, pi, mean, sd, lower.tail = TRUE){
if(length(p) == 1){
g <- length(pi)
if(sum(pi) == 1 && min(pi) > 0 && length(mean) == g &&
length(sd) == g && min(sd) > 0){
if(lower.tail == FALSE){p = 1 - p}
if(p < 0 || p > 1){return(NaN)}
else{
if(p == 0){return(-Inf)}
else{
if(p == 1){return(Inf)}
else{
h <- function(q){abs(pnorm_mix(q, pi, mean, sd) - p)}
return(optim(par = mean(mean), h, method = "L-BFGS-B")$par)
}
}
}
}
}else{
j <- function(p){qnorm_mix(p, pi, mean, sd, lower.tail)}
return(as.numeric(lapply(p, j)))
}
}
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