#' logSumExp
#'
#' \code{logSumExp} calculates log(exp(x1) + exp(x2) + exp(x3) + ...)
#'
#' @export
#' @param x a vector
#' @return log(exp(x1) + exp(x2) + exp(x3) + ...)
#'
#' @examples
#' x <- seq(-100,-50)
#' log(sum(exp(x)))
#' logSumExp(x)
logSumExp <- function(x){
m <- max(x)
if (m == -Inf){
return(-Inf)
}else{
y <- x-m
return(m + log(sum(exp(y))))
}
}
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