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#' Simulate from a zero-truncated non homogeneous Poisson Point Process (zt-NHPPP) from
#' (t_min, t_max) (order statistics method)
#'
#' @description Sample zero-truncated NHPPP times using the order statistics method,
#' optionally using an `rstream` generator
#' @param Lambda (function, double vector) a continuous increasing R to R map
#' which is the integrated rate of the NHPPP
#' @param Lambda_inv (function, double vector) the inverse of `Lambda()`
#' @param t_min (double) the lower bound of the time interval
#' @param t_max (double) the upper bound of the time interval
#' @param atmost1 (boolean) draw at most 1 event time
#'
#' @return a vector of at least 1 event times
#' @export
ztdraw_cumulative_intensity <- function(Lambda,
Lambda_inv,
t_min,
t_max,
atmost1 = FALSE) {
tmp_u <- ztppp(rate = 1, t_min = Lambda(t_min), t_max = Lambda(t_max))
if (atmost1 == TRUE) {
tmp_u <- tmp_u[1]
}
return(Lambda_inv(tmp_u))
}
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